Boonen, Anton J. H.; de Koning, Björn B.; Jolles, Jelle; van der Schoot, Menno
2016-01-01
Successfully solving mathematical word problems requires both mental representation skills and reading comprehension skills. In Realistic Math Education (RME), however, students primarily learn to apply the first of these skills (i.e., representational skills) in the context of word problem solving. Given this, it seems legitimate to assume that students from a RME curriculum experience difficulties when asked to solve semantically complex word problems. We investigated this assumption under 80 sixth grade students who were classified as successful and less successful word problem solvers based on a standardized mathematics test. To this end, students completed word problems that ask for both mental representation skills and reading comprehension skills. The results showed that even successful word problem solvers had a low performance on semantically complex word problems, despite adequate performance on semantically less complex word problems. Based on this study, we concluded that reading comprehension skills should be given a (more) prominent role during word problem solving instruction in RME. PMID:26925012
Boonen, Anton J H; de Koning, Björn B; Jolles, Jelle; van der Schoot, Menno
2016-01-01
Successfully solving mathematical word problems requires both mental representation skills and reading comprehension skills. In Realistic Math Education (RME), however, students primarily learn to apply the first of these skills (i.e., representational skills) in the context of word problem solving. Given this, it seems legitimate to assume that students from a RME curriculum experience difficulties when asked to solve semantically complex word problems. We investigated this assumption under 80 sixth grade students who were classified as successful and less successful word problem solvers based on a standardized mathematics test. To this end, students completed word problems that ask for both mental representation skills and reading comprehension skills. The results showed that even successful word problem solvers had a low performance on semantically complex word problems, despite adequate performance on semantically less complex word problems. Based on this study, we concluded that reading comprehension skills should be given a (more) prominent role during word problem solving instruction in RME.
Word Problem Strategy for Latino English Language Learners at Risk for Math Disabilities
ERIC Educational Resources Information Center
Orosco, Michael J.
2014-01-01
"English Language Learners" (ELLs) at risk for "math disabilities" (MD) are challenged in solving word problems for numerous reasons such as (a) learning English as a second language, (b) limited experience using math vocabulary, and (c) lack of strategies to improve word-problem-solving skills. As a result of these…
ERIC Educational Resources Information Center
Jõgi, Anna-Liisa; Kikas, Eve
2016-01-01
Background: Primary school math skills form a basis for academic success down the road. Different math skills have different antecedents and there is a reason to believe that more complex math tasks require better self-regulation. Aims: The study aimed to investigate longitudinal interrelations of calculation and problem-solving skills, and…
What Are the Symptoms of Learning Disabilities?
... Difficulty with reading and/or writing Problems with math skills Difficulty remembering Problems paying attention Trouble following ... numbers. Other symptoms may include 7 : Difficulty with math-related word problems Trouble making change in cash ...
Fuchs, Lynn S.; Powell, Sarah R.; Seethaler, Pamela M.; Cirino, Paul T.; Fletcher, Jack M.; Fuchs, Douglas; Hamlett, Carol L.; Zumeta, Rebecca O.
2009-01-01
The purposes of this study were to assess the efficacy of remedial tutoring for 3rd graders with mathematics difficulty, to investigate whether tutoring is differentially efficacious depending on students’ math difficulty status (mathematics difficulty alone vs. mathematics plus reading difficulty), to explore transfer from number combination (NC) remediation, and to examine the transportability of the tutoring protocols. At 2 sites, 133 students were stratified on mathematics difficulty status and site and then randomly assigned to 3 conditions: control (no tutoring), tutoring on automatic retrieval of NCs (i.e., Math Flash), or tutoring on word problems with attention to the foundational skills of NCs, procedural calculations, and algebra (i.e., Pirate Math). Tutoring occurred for 16 weeks, 3 sessions per week and 20–30 min per session. Math Flash enhanced fluency with NCs with transfer to procedural computation but without transfer to algebra or word problems. Pirate Math enhanced word problem skill as well as fluency with NCs, procedural computation, and algebra. Tutoring was not differentially efficacious as a function of students’ mathematics difficulty status. The tutoring protocols proved transportable across sites. PMID:19865600
Math in Plain English: Literacy Strategies for the Mathematics Classroom
ERIC Educational Resources Information Center
Benjamin, Amy
2011-01-01
Do word problems and math vocabulary confuse students in your mathematics classes? Do simple keywords like "value" and "portion" seem to mislead them? Many words that students already know can have a different meaning in mathematics. To grasp that difference, students need to connect English literacy skills to math. Successful students speak,…
ERIC Educational Resources Information Center
Korpershoek, Hanke; Kuyper, Hans; van der Werf, Greetje
2015-01-01
Word problems are math- or science-related problems presented in the context of a story or real-life scenario. Literature suggests that, to solve these problems, advanced reading skills are required, in addition to content-related skills in, for example, mathematics. In the present study, we investigated the relation between students' reading…
ERIC Educational Resources Information Center
DeRosa, Bill
1986-01-01
Describes an activity designed to improve students' skills at solving mathematical word problems through an awareness of the pet overpopulation problem. Uses the concept of cumulative female offspring as a focal point in assisting students to analyze and work through word problems. (ML)
Fuchs, Lynn S; Seethaler, Pamela M; Powell, Sarah R; Fuchs, Douglas; Hamlett, Carol L; Fletcher, Jack M
2008-01-01
This study assessed the effects of preventative tutoring on the math problem solving of third-grade students with math and reading difficulties. Students (n = 35) were assigned randomly to continue in their general education math program or to receive secondary preventative tutoring 3 times per week, 30 min per session, for 12 weeks. Schema-broadening tutoring taught students to (a) focus on the mathematical structure of 3 problem types; (b) recognize problems as belonging to those 3 problem-type schemas; (c) solve the 3 word-problem types; and (d) transfer solution methods to problems that include irrelevant information, 2-digit operands, missing information in the first or second positions in the algebraic equation, or relevant information in charts, graphs, and pictures. Also, students were taught to perform the calculation and algebraic skills foundational for problem solving. Analyses of variance revealed statistically significant effects on a wide range of word problems, with large effect sizes. Findings support the efficacy of the tutoring protocol for preventing word-problem deficits among third-grade students with math and reading deficits.
Fuchs, Lynn S.; Seethaler, Pamela M.; Powell, Sarah R.; Fuchs, Douglas; Hamlett, Carol L.; Fletcher, Jack M.
2009-01-01
This study assessed the effects of preventative tutoring on the math problem solving of third-grade students with math and reading difficulties. Students (n = 35) were assigned randomly to continue in their general education math program or to receive secondary preventative tutoring 3 times per week, 30 min per session, for 12 weeks. Schema-broadening tutoring taught students to (a) focus on the mathematical structure of 3 problem types; (b) recognize problems as belonging to those 3 problem-type schemas; (c) solve the 3 word-problem types; and (d) transfer solution methods to problems that include irrelevant information, 2-digit operands, missing information in the first or second positions in the algebraic equation, or relevant information in charts, graphs, and pictures. Also, students were taught to perform the calculation and algebraic skills foundational for problem solving. Analyses of variance revealed statistically significant effects on a wide range of word problems, with large effect sizes. Findings support the efficacy of the tutoring protocol for preventing word-problem deficits among third-grade students with math and reading deficits. PMID:20209074
Fuchs, Lynn S.; Compton, Donald L.; Fuchs, Douglas; Hollenbeck, Kurstin N.; Craddock, Caitlin F.; Hamlett, Carol L.
2008-01-01
Dynamic assessment (DA) involves helping students learn a task and indexing responsiveness to that instruction as a measure of learning potential. The purpose of this study was to explore the utility of a DA of algebraic learning in predicting 3rd graders’ development of mathematics problem solving. In the fall, 122 3rd-grade students were assessed on language, nonverbal reasoning, attentive behavior, calculations, word-problem skill, and DA. On the basis of random assignment, students received 16 weeks of validated instruction on word problems or received 16 weeks of conventional instruction on word problems. Then, students were assessed on word-problem measures proximal and distal to instruction. Structural equation measurement models showed that DA measured a distinct dimension of pretreatment ability and that proximal and distal word-problem measures were needed to account for outcome. Structural equation modeling showed that instruction (conventional vs. validated) was sufficient to account for math word-problem outcome proximal to instruction; by contrast, language, pretreatment math skill, and DA were needed to forecast learning on word-problem outcomes more distal to instruction. Findings are discussed in terms of responsiveness-to-intervention models for preventing and identifying learning disabilities. PMID:19884957
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Gilbert, Jennifer K.; Powell, Sarah R.; Cirino, Paul T.; Fuchs, Douglas; Hamlett, Carol L.; Seethaler, Pamela M.; Tolar, Tammy D.
2016-01-01
The purpose of this study was to examine child-level pathways in development of prealgebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early…
Jõgi, Anna-Liisa; Kikas, Eve
2016-06-01
Primary school math skills form a basis for academic success down the road. Different math skills have different antecedents and there is a reason to believe that more complex math tasks require better self-regulation. The study aimed to investigate longitudinal interrelations of calculation and problem-solving skills, and task-persistent behaviour in Grade 1 and Grade 3, and the effect of non-verbal intelligence, linguistic abilities, and executive functioning on math skills and task persistence. Participants were 864 students (52.3% boys) from 33 different schools in Estonia. Students were tested twice - at the end of Grade1 and at the end of Grade 3. Calculation and problem-solving skills, and teacher-rated task-persistent behaviour were measured at both time points. Non-verbal intelligence, linguistic abilities, and executive functioning were measured in Grade 1. Cross-lagged structural equation modelling indicated that calculation skills depend on previous math skills and linguistic abilities, while problem-solving skills require also non-verbal intelligence, executive functioning, and task persistence. Task-persistent behaviour in Grade 3 was predicted by previous problem-solving skills, linguistic abilities, and executive functioning. Gender and mother's educational level were added as covariates. The findings indicate that math skills and self-regulation are strongly related in primary grades and that solving complex tasks requires executive functioning and task persistence from children. Findings support the idea that instructional practices might benefit from supporting self-regulation in order to gain domain-specific, complex skill achievement. © 2015 The British Psychological Society.
ERIC Educational Resources Information Center
Morin, Lisa L.; Watson, Silvana M. R.; Hester, Peggy; Raver, Sharon
2017-01-01
For students with mathematics difficulties (MD), math word problem solving is especially challenging. The purpose of this study was to examine the effects of a problem-solving strategy, bar model drawing, on the mathematical problem-solving skills of students with MD. The study extended previous research that suggested that schematic-based…
Embedding Number-Combinations Practice Within Word-Problem Tutoring
Powell, Sarah R.; Fuchs, Lynn S.; Fuchs, Douglas
2012-01-01
Two aspects of mathematics with which students with mathematics learning difficulty (MLD) often struggle are word problems and number-combination skills. This article describes a math program in which students receive instruction on using algebraic equations to represent the underlying problem structure for three word-problem types. Students also learn counting strategies for answering number combinations that they cannot retrieve from memory. Results from randomized-control trials indicated that embedding the counting strategies for number combinations produces superior word-problem and number-combination outcomes for students with MLD beyond tutoring programs that focus exclusively on number combinations or word problems. PMID:22661880
Embedding Number-Combinations Practice Within Word-Problem Tutoring.
Powell, Sarah R; Fuchs, Lynn S; Fuchs, Douglas
2010-09-01
Two aspects of mathematics with which students with mathematics learning difficulty (MLD) often struggle are word problems and number-combination skills. This article describes a math program in which students receive instruction on using algebraic equations to represent the underlying problem structure for three word-problem types. Students also learn counting strategies for answering number combinations that they cannot retrieve from memory. Results from randomized-control trials indicated that embedding the counting strategies for number combinations produces superior word-problem and number-combination outcomes for students with MLD beyond tutoring programs that focus exclusively on number combinations or word problems.
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Gilbert, Jennifer K.; Fuchs, Douglas; Seethaler, Pamela M.; N. Martin, BrittanyLee
2018-01-01
This study was designed to deepen insights on whether word-problem (WP) solving is a form of text comprehension (TC) and on the role of language in WPs. A sample of 325 second graders, representing high, average, and low reading and math performance, was assessed on (a) start-of-year TC, WP skill, language, nonlinguistic reasoning, working memory,…
ERIC Educational Resources Information Center
Miller, Jane E.
2010-01-01
Quantitative literacy is an important proficiency that pertains to "word problems" from science, history, and other fields. Unfortunately, teaching how to solve such problems often is relegated to math courses alone. This article examines how quantitative literacy also involves concepts and skills from English composition and the substantive…
Myth #8: Reading Is More Important than Math.
ERIC Educational Resources Information Center
Literacy Beat, 1988
1988-01-01
Adeptness in abstractions and analysis--the language of math--is at least as important as adeptness at reading words for individuals in business and industry. Mathematics literacy stimulates the problem-solving and critical thinking skills that the workplace now demands. A National Assessment of Educational Progress study found that about half of…
Approximate Arithmetic Training Improves Informal Math Performance in Low Achieving Preschoolers
Szkudlarek, Emily; Brannon, Elizabeth M.
2018-01-01
Recent studies suggest that practice with approximate and non-symbolic arithmetic problems improves the math performance of adults, school aged children, and preschoolers. However, the relative effectiveness of approximate arithmetic training compared to available educational games, and the type of math skills that approximate arithmetic targets are unknown. The present study was designed to (1) compare the effectiveness of approximate arithmetic training to two commercially available numeral and letter identification tablet applications and (2) to examine the specific type of math skills that benefit from approximate arithmetic training. Preschool children (n = 158) were pseudo-randomly assigned to one of three conditions: approximate arithmetic, letter identification, or numeral identification. All children were trained for 10 short sessions and given pre and post tests of informal and formal math, executive function, short term memory, vocabulary, alphabet knowledge, and number word knowledge. We found a significant interaction between initial math performance and training condition, such that children with low pretest math performance benefited from approximate arithmetic training, and children with high pretest math performance benefited from symbol identification training. This effect was restricted to informal, and not formal, math problems. There were also effects of gender, socio-economic status, and age on post-test informal math score after intervention. A median split on pretest math ability indicated that children in the low half of math scores in the approximate arithmetic training condition performed significantly better than children in the letter identification training condition on post-test informal math problems when controlling for pretest, age, gender, and socio-economic status. Our results support the conclusion that approximate arithmetic training may be especially effective for children with low math skills, and that approximate arithmetic training improves early informal, but not formal, math skills. PMID:29867624
Approximate Arithmetic Training Improves Informal Math Performance in Low Achieving Preschoolers.
Szkudlarek, Emily; Brannon, Elizabeth M
2018-01-01
Recent studies suggest that practice with approximate and non-symbolic arithmetic problems improves the math performance of adults, school aged children, and preschoolers. However, the relative effectiveness of approximate arithmetic training compared to available educational games, and the type of math skills that approximate arithmetic targets are unknown. The present study was designed to (1) compare the effectiveness of approximate arithmetic training to two commercially available numeral and letter identification tablet applications and (2) to examine the specific type of math skills that benefit from approximate arithmetic training. Preschool children ( n = 158) were pseudo-randomly assigned to one of three conditions: approximate arithmetic, letter identification, or numeral identification. All children were trained for 10 short sessions and given pre and post tests of informal and formal math, executive function, short term memory, vocabulary, alphabet knowledge, and number word knowledge. We found a significant interaction between initial math performance and training condition, such that children with low pretest math performance benefited from approximate arithmetic training, and children with high pretest math performance benefited from symbol identification training. This effect was restricted to informal, and not formal, math problems. There were also effects of gender, socio-economic status, and age on post-test informal math score after intervention. A median split on pretest math ability indicated that children in the low half of math scores in the approximate arithmetic training condition performed significantly better than children in the letter identification training condition on post-test informal math problems when controlling for pretest, age, gender, and socio-economic status. Our results support the conclusion that approximate arithmetic training may be especially effective for children with low math skills, and that approximate arithmetic training improves early informal, but not formal, math skills.
Fuchs, Lynn S.; Gilbert, Jennifer K.; Powell, Sarah R.; Cirino, Paul T.; Fuchs, Douglas; Hamlett, Carol L.; Seethaler, Pamela M.; Tolar, Tammy D.
2016-01-01
The purpose of this study was to examine child-level pathways in development of pre-algebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early calculation, word-problem, and number knowledge at start of grade 2; calculation accuracy and calculation fluency at end of grade 2; and pre-algebraic knowledge and word-problem solving at end of grade 4. Important similarities in pathways were identified, but path analysis also indicated that language comprehension is more critical for later word-problem solving than pre-algebraic knowledge. We conclude that pathways in development of these forms of 4th-grade mathematics performance are more alike than different, but demonstrate the need to fine-tune instruction for strands of the mathematics curriculum in ways that address individual students’ foundational mathematics skills or cognitive processes. PMID:27786534
Fuchs, Lynn S; Gilbert, Jennifer K; Powell, Sarah R; Cirino, Paul T; Fuchs, Douglas; Hamlett, Carol L; Seethaler, Pamela M; Tolar, Tammy D
2016-12-01
The purpose of this study was to examine child-level pathways in development of prealgebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early calculation, word-problem, and number knowledge at start of Grade 2; calculation accuracy and calculation fluency at end of Grade 2; and prealgebraic knowledge and word-problem solving at end of Grade 4. Important similarities in pathways were identified, but path analysis also indicated that language comprehension is more critical for later word-problem solving than prealgebraic knowledge. We conclude that pathways in development of these forms of 4th-grade mathematics performance are more alike than different, but demonstrate the need to fine-tune instruction for strands of the mathematics curriculum in ways that address individual students' foundational mathematics skills or cognitive processes. (PsycINFO Database Record (c) 2016 APA, all rights reserved).
Assessing the Effect of Language Demand in Bundles of Math Word Problems
ERIC Educational Resources Information Center
Banks, Kathleen; Jeddeeni, Ahmad; Walker, Cindy M.
2016-01-01
Differential bundle functioning (DBF) analyses were conducted to determine whether seventh and eighth grade second language learners (SLLs) had lower probabilities of answering bundles of math word problems correctly that had heavy language demands, when compared to non-SLLs of equal math proficiency. Math word problems on each of four test forms…
ERIC Educational Resources Information Center
Bottge, Brian A.; Heinrichs, Mary; Chan, Shih-Yi; Mehta, Zara Dee; Watson, Elizabeth
2003-01-01
This study examined effects of video-based, anchored instruction and applied problems on the ability of 11 low-achieving (LA) and 26 average-achieving (AA) eighth graders to solve computation and word problems. Performance for both groups was higher during anchored instruction than during baseline, but no differences were found between instruction…
ERIC Educational Resources Information Center
Kercood, Suneeta; Zentall, Sydney S.; Vinh, Megan; Tom-Wright, Kinsey
2012-01-01
The purpose of this theoretically-based study was to examine the effects of yellow-highlighting "relevant" words and units within math word problems. Initial differences were documented between 10 girls at-risk for ADHD and 10 comparisons on the performance of group and individual assessments of math computations and word problems, as had…
The Impact of Metacognitive Strategies and Self-Regulating Processes of Solving Math Word Problems
ERIC Educational Resources Information Center
Vula, Eda; Avdyli, Rrezarta; Berisha, Valbona; Saqipi, Blerim; Elezi, Shpetim
2017-01-01
This empirical study investigates the impact of metacognitive strategies and self-regulating processes in learners' achievement on solving math word problems. It specifically analyzes the impact of the linguistic factor and the number of steps and arithmetical operations that learners need to apply during the process of solving math word problems.…
Multimedia Cai Program for Students with Mathematics Difficulties
ERIC Educational Resources Information Center
Seo, You-Jin; Bryant, Diane
2012-01-01
This study investigated the effectiveness of "Math Explorer" at enhancing the word problem-solving skills of students with mathematics difficulties (MD). The study, which had a multiple-probe-across-subjects design, was conducted over 18 weeks. Four students with MD in Grades 2 and 3 participated. All students were able to use the four-step…
Word-Problem-Solving Strategy for Minority Students at Risk for Math Difficulties
ERIC Educational Resources Information Center
Kong, Jennifer E.; Orosco, Michael J.
2016-01-01
Minority students at risk for math difficulties (MD) struggle with word problems for various reasons beyond procedural or calculation challenges. As a result, these students require support in reading and language development in addition to math. The purpose of this study was to assess the effectiveness of a math comprehension strategy based on a…
ERIC Educational Resources Information Center
Cetintas, Suleyman; Si, Luo; Xin, Yan Ping; Zhang, Dake; Park, Joo Young; Tzur, Ron
2010-01-01
Estimating the difficulty level of math word problems is an important task for many educational applications. Identification of relevant and irrelevant sentences in math word problems is an important step for calculating the difficulty levels of such problems. This paper addresses a novel application of text categorization to identify two types of…
The Effects of Dynamic Strategic Math on English Language Learners' Word Problem Solving
ERIC Educational Resources Information Center
Orosco, Michael J.; Swanson, H. Lee; O'Connor, Rollanda; Lussier, Cathy
2013-01-01
English language learners (ELLs) struggle with solving word problems for a number of reasons beyond math procedures or calculation challenges. As a result, ELLs may not only need math support but also reading and linguistic support. The purpose of this study was to assess the effectiveness of a math comprehension strategy called Dynamic Strategic…
Helping Students with Emotional and Behavioral Disorders Solve Mathematics Word Problems
ERIC Educational Resources Information Center
Alter, Peter
2012-01-01
The author presents a strategy for helping students with emotional and behavioral disorders become more proficient at solving math word problems. Math word problems require students to go beyond simple computation in mathematics (e.g., adding, subtracting, multiplying, and dividing) and use higher level reasoning that includes recognizing relevant…
ERIC Educational Resources Information Center
Cassidy, Jack
1991-01-01
Presents suggestions for teaching math word problems to elementary students. The strategies take into consideration differences between reading in math and reading in other areas. A problem-prediction game and four self-checking activities are included along with a magic password challenge. (SM)
Fuchs, Lynn S.; Gilbert, Jennifer K.; Fuchs, Douglas; Seethaler, Pamela M.; Martin, BrittanyLee N.
2018-01-01
This study was designed to deepen insights on whether word-problem (WP) solving is a form of text comprehension (TC) and on the role of language in WPs. A sample of 325 second graders, representing high, average, and low reading and math performance, was assessed on (a) start-of-year TC, WP skill, language, nonlinguistic reasoning, working memory, and foundational skill (word identification, arithmetic) and (b) year-end WP solving, WP-language processing (understanding WP statements, without calculation demands), and calculations. Multivariate, multilevel path analysis, accounting for classroom and school effects, indicated that TC was a significant and comparably strong predictor of all outcomes. Start-of-year language was a significantly stronger predictor of both year-end WP outcomes than of calculations, whereas start-of-year arithmetic was a significantly stronger predictor of calculations than of either WP measure. Implications are discussed in terms of WP solving as a form of TC and a theoretically coordinated approach, focused on language, for addressing TC and WP-solving instruction. PMID:29643723
ERIC Educational Resources Information Center
Banerjee, Banmali
2010-01-01
Methods and procedures for successfully solving math word problems have been, and continue to be a mystery to many U.S. high school students. Previous studies suggest that the contextual and mathematical understanding of a word problem, along with the development of schemas and their related external representations, positively contribute to…
Fung, Wenson; Swanson, H Lee
2017-07-01
The purpose of this study was to assess whether the differential effects of working memory (WM) components (the central executive, phonological loop, and visual-spatial sketchpad) on math word problem-solving accuracy in children (N = 413, ages 6-10) are completely mediated by reading, calculation, and fluid intelligence. The results indicated that all three WM components predicted word problem solving in the nonmediated model, but only the storage component of WM yielded a significant direct path to word problem-solving accuracy in the fully mediated model. Fluid intelligence was found to moderate the relationship between WM and word problem solving, whereas reading, calculation, and related skills (naming speed, domain-specific knowledge) completely mediated the influence of the executive system on problem-solving accuracy. Our results are consistent with findings suggesting that storage eliminates the predictive contribution of executive WM to various measures Colom, Rebollo, Abad, & Shih (Memory & Cognition, 34: 158-171, 2006). The findings suggest that the storage component of WM, rather than the executive component, has a direct path to higher-order processing in children.
NASA Astrophysics Data System (ADS)
Banerjee, Banmali
Methods and procedures for successfully solving math word problems have been, and continue to be a mystery to many U.S. high school students. Previous studies suggest that the contextual and mathematical understanding of a word problem, along with the development of schemas and their related external representations, positively contribute to students' accomplishments when solving word problems. Some studies have examined the effects of diagramming on students' abilities to solve word problems that only involved basic arithmetic operations. Other studies have investigated how instructional models that used technology influenced students' problem solving achievements. Still other studies have used schema-based instruction involving students with learning disabilities. No study has evaluated regular high school students' achievements in solving standard math word problems using a diagramming technique without technological aid. This study evaluated students' achievement in solving math word problems using a diagramming technique. Using a quasi-experimental experimental pretest-posttest research design, quantitative data were collected from 172 grade 11 Hispanic English language learners (ELLS) and African American learners whose first language is English (EFLLs) in 18 classes at an inner city high school in Northern New Jersey. There were 88 control and 84 experimental students. The pretest and posttest of each participating student and samples of the experimental students' class assignments provided the qualitative data for the study. The data from this study exhibited that the diagramming method of solving math word problems significantly improved student achievement in the experimental group (p<.01) compared to the control group. The study demonstrated that urban, high school, ELLs benefited from instruction that placed emphasis on the mathematical vocabulary and symbols used in word problems and that both ELLs and EFLLs improved their problem solving success through careful attention to the creation and labeling of diagrams to represent the mathematics involved in standard word problems. Although Learnertype (ELL, EFLL), Classtype (Bilingual and Mixed), and Gender (Female, Male) were not significant indicators of student achievement, there was significant interaction between Treatment and Classtype at the level of the Bilingual students ( p<.01) and between Treatment and Learnertype at the level of the ELLs (p<.01).
Newkirk-Turner, Brandi L; Johnson, Valerie E
2018-04-05
The purpose of this tutorial is to discuss the use of curriculum-based language assessment (CBLA) with students who are English language learners and students who speak nonmainstream varieties of English, such as African American English. The article begins with a discussion of the discourse of mathematics and the role of the speech-language pathologist (SLP), followed by a review of studies that includes those that examined the performance of English language learner and nonmainstream dialect-speaking students on word-based math items. The literature review highlights the linguistic and content biases associated with word-based math problems. Useful strategies that SLPs and educators can incorporate in culturally and linguistically appropriate assessments are discussed. The tutorial ends with a discussion of CBLA as a viable assessment approach to use with culturally and linguistically diverse students. Tests used at national, state, and school levels to assess students' math abilities have associated linguistic bias and content bias often leading to an inaccurate depiction of culturally and linguistically diverse students' math skills. CBLA as an assessment method can be used by school-based SLPs to gather valid and useful information about culturally and linguistically diverse students' language for learning math. By using CBLA, SLPs can help modify curricular tasks in broader contexts in an effort to make math, including high-level math, "accessible and achievable for all" students (American Speech-Language-Hearing Association, 2017).
Specific Cognitive Predictors of Early Math Problem Solving
ERIC Educational Resources Information Center
Decker, Scott L.; Roberts, Alycia M.
2015-01-01
Development of early math skill depends on a prerequisite level of cognitive development. Identification of specific cognitive skills that are important for math development may not only inform instructional approaches but also inform assessment approaches to identifying children with specific learning problems in math. This study investigated the…
Reading Coaching for Math Word Problems
ERIC Educational Resources Information Center
Edwards, Sharon A.; Maloy, Robert W.; Anderson, Gordon
2009-01-01
"Math is language, too," Phyllis and David Whitin (2000) remind everyone in their informative book about reading and writing in the mathematics classroom. This means that students in elementary school math classes are learning two distinct, yet related languages--one of numbers, the other of words. These languages of numbers and words…
Cognitive Prediction of Reading, Math, and Attention: Shared and Unique Influences
ERIC Educational Resources Information Center
Peterson, Robin L.; Boada, Richard; McGrath, Lauren M.; Willcutt, Erik G.; Olson, Richard K.; Pennington, Bruce F.
2017-01-01
The current study tested a multiple-cognitive predictor model of word reading, math ability, and attention in a community-based sample of twins ages 8 to 16 years (N = 636). The objective was to identify cognitive predictors unique to each skill domain as well as cognitive predictors shared among skills that could help explain their overlap and…
Cognitive Prediction of Reading, Math, and Attention: Shared and Unique Influences.
Peterson, Robin L; Boada, Richard; McGrath, Lauren M; Willcutt, Erik G; Olson, Richard K; Pennington, Bruce F
The current study tested a multiple-cognitive predictor model of word reading, math ability, and attention in a community-based sample of twins ages 8 to 16 years ( N = 636). The objective was to identify cognitive predictors unique to each skill domain as well as cognitive predictors shared among skills that could help explain their overlap and thus help illuminate the basis for comorbidity of related disorders (reading disability, math disability, and attention deficit hyperactivity disorder). Results indicated that processing speed contributes to the overlap between reading and attention as well as math and attention, whereas verbal comprehension contributes to the overlap between reading and math. There was no evidence that executive functioning skills help account for covariation among these skill domains. Instead, specific executive functions differentially related to certain outcomes (i.e., working memory to math and inhibition to attention). We explored whether the model varied in younger versus older children and found only minor differences. Results are interpreted within the context of the multiple deficit framework for neurodevelopmental disorders.
The role of expressive writing in math anxiety.
Park, Daeun; Ramirez, Gerardo; Beilock, Sian L
2014-06-01
Math anxiety is a negative affective reaction to situations involving math. Previous work demonstrates that math anxiety can negatively impact math problem solving by creating performance-related worries that disrupt the working memory needed for the task at hand. By leveraging knowledge about the mechanism underlying the math anxiety-performance relationship, we tested the effectiveness of a short expressive writing intervention that has been shown to reduce intrusive thoughts and improve working memory availability. Students (N = 80) varying in math anxiety were asked to sit quietly (control group) prior to completing difficulty-matched math and word problems or to write about their thoughts and feelings regarding the exam they were about to take (expressive writing group). For the control group, high math-anxious individuals (HMAs) performed significantly worse on the math problems than low math-anxious students (LMAs). In the expressive writing group, however, this difference in math performance across HMAs and LMAs was significantly reduced. Among HMAs, the use of words related to anxiety, cause, and insight in their writing was positively related to math performance. Expressive writing boosts the performance of anxious students in math-testing situations. PsycINFO Database Record (c) 2014 APA, all rights reserved.
Poems for Math Practice: With 80 Skill-Building Activities
ERIC Educational Resources Information Center
Reynolds, Laureen
2006-01-01
Aimed at students who love math as well as those who dread it, this book adds another dimension to the abstract nature of numbers. Using words and pictures, teachers can help children make the connection between mathematics and their everyday routines and observations. This book includes: (1) 20 illustrated poems; (2) math practice with sorting,…
Mathematics skills in good readers with hydrocephalus.
Barnes, Marcia A; Pengelly, Sarah; Dennis, Maureen; Wilkinson, Margaret; Rogers, Tracey; Faulkner, Heather
2002-01-01
Children with hydrocephalus have poor math skills. We investigated the nature of their arithmetic computation errors by comparing written subtraction errors in good readers with hydrocephalus, typically developing good readers of the same age, and younger children matched for math level to the children with hydrocephalus. Children with hydrocephalus made more procedural errors (although not more fact retrieval or visual-spatial errors) than age-matched controls; they made the same number of procedural errors as younger, math-level matched children. We also investigated a broad range of math abilities, and found that children with hydrocephalus performed more poorly than age-matched controls on tests of geometry and applied math skills such as estimation and problem solving. Computation deficits in children with hydrocephalus reflect delayed development of procedural knowledge. Problems in specific math domains such as geometry and applied math, were associated with deficits in constituent cognitive skills such as visual spatial competence, memory, and general knowledge.
ERIC Educational Resources Information Center
Swanson, H. Lee
2014-01-01
Cognitive strategies are important tools for children with math difficulties (MD) in learning to solve word problems. The effectiveness of strategy training, however, depends on working memory capacity (WMC). Thus, children with MD but with relatively higher WMC are more likely to benefit from strategy training, whereas children with lower WMC may…
ERIC Educational Resources Information Center
Zheng, Xinhua; Flynn, Lindsay J.; Swanson, H. Lee
2013-01-01
This article provides a quantitative synthesis of the published literature on word problem solving intervention studies for children with math disabilities (MD). Seven group and eight single-subject design studies met inclusion criteria. Mean effect sizes ("ES"s) for solution accuracy for group design studies were 0.95 (SE = 0.19) for…
Auditory Processing Disorder (For Parents)
... or other speech-language difficulties? Are verbal (word) math problems difficult for your child? Is your child ... inferences from conversations, understanding riddles, or comprehending verbal math problems — require heightened auditory processing and language levels. ...
Destination Math. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2009
2009-01-01
"Destination Math" is a series of computer-based curricula designed to be used for at least 90 minutes a week. Featuring sequenced, prescriptive, step-by-step instruction, "Destination Math" is designed for the development of fluency in critical skills, math reasoning, conceptual understanding, and problem-solving skills.…
Cognitive Correlates of Math Skills in Third-Grade Students
ERIC Educational Resources Information Center
Mannamaa, Mairi; Kikas, Eve; Peets, Katlin; Palu, Anu
2012-01-01
Math achievement is not a unidimensional construct but includes different skills that require different cognitive abilities. The focus of this study was to examine associations between a number of cognitive abilities and three domains of math skills (knowing, applying and problem solving) simultaneously in a multivariate framework. Participants…
Ideas in Practice: Teaching Mathematics in an "Academic Servicing" Course.
ERIC Educational Resources Information Center
Ritsena, Paul
1981-01-01
Describes a remedial approach which provides math and communications instruction for applied arts and technology students. Looks at the problems of lack of time and math anxiety. Provides examples of math problems that show "real life" applications of math skills. Recounts how the problems are used in the classroom. (AYC)
Ribner, Andrew; Fitzpatrick, Caroline; Blair, Clancy
2017-04-01
We examined whether the negative relation between television viewing that exceeds the recommendations of the American Academy of Pediatrics (AAP) and school readiness varied by family income. Data were collected from 807 children from diverse backgrounds. Parents reported hours of television viewing, as well as family income. Children were assessed using measures of math, knowledge of letters and words, and executive function (EF). Television viewing was negatively associated with math and EF but not with letter and word knowledge. An interaction between television viewing and family income indicated that the effect of television viewing in excess of the AAP recommended maximum had negative associations with math and EF that increased as a linear function of family income. Furthermore, EF partially mediated the relation between television viewing and math. Television viewing is negatively associated with children's school readiness skills, and this association increased as family income decreased. Active efforts to reinforce AAP guidelines to limit the amount of television children watch should be made, especially for children from middle- to lower-income families.
ERIC Educational Resources Information Center
Nelson, Vaunda; Stanko, Anne
1992-01-01
Describes Math Safari, a mathematical, scientific, geographic, informational adventure for fourth grade students. It integrates all curriculum areas and other skills by using information children must find in books to pose math problems about animals. It encourages cooperative learning, critical reading, analysis, and use of research skills. (SM)
2016-12-01
five lower-order factors representing verbal, math , spatial, perceptual speed, and aviation knowledge, and a hierarchical general factor showed the...Academic Aptitude Verbal Quant. Verbal Analogies 25 X X X Arithmetic Reasoning 25 X X Word Knowledge 25 X X X Math Knowledge 25 X X...Reasoning (AR) uses word problems to assess the ability to understand arithmetic relations. Math Knowledge (MK) assesses the ability to use
Murphy, Melissa M; Mazzocco, Michèle M M
2008-01-01
The present study focuses on math and related skills among 32 girls with fragile X (n = 14) or Turner (n = 18) syndrome during late elementary school. Performance in each syndrome group was assessed relative to Full Scale IQ-matched comparison groups of girls from the general population (n = 32 and n = 89 for fragile X syndrome and Turner syndrome, respectively). Differences between girls with fragile X and their comparison group emerged on untimed arithmetic calculations, mastery of counting skills, and arithmetic problem verification accuracy. Relative to girls in the comparison group, girls with Turner syndrome did not differ on untimed arithmetic calculations or problem verification accuracy, but they had limited mastery of counting skills and longer response times to complete the problem verification task. Girls with fragile X or Turner syndrome also differed from their respective comparison groups on math-related abilities, including visual-spatial, working memory, and reading skills, and the associations between math and those related skills. Together, these findings support the notion that difficulty with math and related skills among girls with fragile X or Turner syndrome continues into late elementary school and that the profile of math and related skill difficulty distinguishes the two syndrome groups from each other.
NASA Astrophysics Data System (ADS)
Quinn, Reginald
2013-01-01
The purpose of this study was to examine the confidence levels that community college students have in transferring basic math skills to science classes, as well as any factors that influence their confidence levels. This study was conducted with 196 students at a community college in central Mississippi. The study was conducted during the month of November after all of the students had taken their midterm exams and received midterm grades. The instrument used in this survey was developed and validated by the researcher. The instrument asks the students to rate how confident they were in working out specific math problems and how confident they were in working problems using those specific math skills in physics and chemistry. The instrument also provided an example problem for every confidence item. Results revealed that students' demographics were significant predictors in confidence scores. Students in the 18-22 year old range were less confident in solving math problems than others. Students who had retaken a math course were less confident than those who had not. Chemistry students were less confident in solving math problems than those in physics courses. Chemistry II students were less confident than those in Chemistry I and Principals of Chemistry. Students were least confident in solving problems involving logarithms and the most confident in solving algebra problems. In general, students felt that their math courses did not prepare them for the math problems encountered in science courses. There was no significant difference in confidence between students who had completed their math homework online and those who had completed their homework on paper. The researcher recommends that chemistry educators find ways of incorporating more mathematics in their courses especially logarithms and slope. Furthermore, math educators should incorporate more chemistry related applications to math class. Results of hypotheses testing, conclusions, discussions, and recommendations for future research are included.
Word Search Packet: Climbing the Hills of Math Skills. California Demonstration Mathematics Program.
ERIC Educational Resources Information Center
Ontario-Montclair School District, Ontario, CA.
Thirty word-search puzzles on mathematics and mathematicians are presented. The puzzles are used periodically as homework assignments in a self-paced, individualized mathematics program which is designed to improve the achievement of junior high school students. Answers to the puzzles are not included. (DC)
ERIC Educational Resources Information Center
Milwaukee Public Schools, WI.
This workbook contains "skill sharpening" math problems presented in Spanish. These problems have been designed as supplementary work for students at the eighth grade level. Functions and topics such as addition, subtraction, division, multiplication, decimals, scientific notation (exponents), fractions, symmetry, angles, the metric…
Balsamo, Lyn M; Sint, Kyaw J; Neglia, Joseph P; Brouwers, Pim; Kadan-Lottick, Nina S
2016-04-01
Assess the association between fine motor (FM) and visual-motor integration (VMI) skills and academic achievement in pediatric acute lymphoblastic leukemia (ALL) survivors. In this 28-site cross-sectional study of 256 children in first remission, a mean of 8.9 ± 2.2 years after treatment for standard-risk precursor-B ALL, validated measures of FM, VMI, reading, math, and intelligence were administered at mean follow-up age of 12.8 ± 2.5 years. VMI was significantly associated with written math calculation ability (p < .0069) after adjusting for intelligence (p < .0001). VMI was more strongly associated with math in those with lower intelligence (p = .0141). Word decoding was also significantly associated with VMI but with no effect modification by intelligence. FM skills were not associated with either reading or math achievement. These findings suggest that VMI is associated with aspects of math and reading achievement in leukemia survivors. These skills may be amenable to intervention. © The Author 2015. Published by Oxford University Press on behalf of the Society of Pediatric Psychology. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com.
A Math Intervention for Third Grade Latino English Language Learners at Risk for Math Disabilities
ERIC Educational Resources Information Center
Orosco, Michael J.
2014-01-01
Word problems for English language learners (ELLs) at risk for math disabilities are challenging in terms of the constant need to develop precise math language and comprehension knowledge. As a result of this, ELLs may not only need math support but also reading and linguistic support. The purpose of this study was to assess the effectiveness of a…
A Personal Intelligent Mentor for Promoting Metacognition in Solving Logic Word Puzzles.
ERIC Educational Resources Information Center
Baylor, Amy L.; Kozbe, Barcin
This paper describes a Personal Intelligent Mentor (PIM) that facilitates metacognitive development in the domain of solving logic word puzzles. Metacognition is an important aspect for critical thinking skills. High school students must develop logical and critical thinking abilities as a prerequisite for higher-level math and computer…
Literacy Specialists in Math Class! Closing the Achievement Gap on State Math Assessments
ERIC Educational Resources Information Center
DiGisi, Lori L.; Fleming, Dianne
2005-01-01
Sixth and eighth grade students who are English language learners must be able to read and interpret 39 math word problems in order to successfully calculate the answers on the Massachusetts state math assessment (MCAS). The first year that MCAS was administered, many ELL students read the questions, found them confusing, and left them blank,…
ERIC Educational Resources Information Center
Parmar, Rene S.; Cawley, John F.
1994-01-01
Matrix organization can be used to construct math word problems for children with mild disabilities. Matrix organization specifies the characteristics of problems, such as problem theme or setting, operations, level of computation complexity, reading vocabulary level, and need for classification. A sample scope and sequence and 16 sample word…
ERIC Educational Resources Information Center
Swanson, H. Lee; Lussier, Catherine; Orosco, Michael
2011-01-01
Although current categories of learning disabilities include as specific disabilities calculation and mathematical problem solving [see IDEA reauthorization, 2004, Sec. 300.8(c)(10)], the majority of research focuses on calculation disabilities. Previous studies have shown, however, that deficits in word problem solving difficulties are persistent…
Garrett, Adia J.; Mazzocco, Michèle M. M.; Baker, Linda
2009-01-01
Metacognition refers to knowledge about one’s own cognition. The present study was designed to assess metacognitive skills that either precede or follow task engagement, rather than the processes that occur during a task. Specifically, we examined prediction and evaluation skills among children with (n = 17) or without (n = 179) mathematics learning disability (MLD), from grades 2 to 4. Children were asked to predict which of several math problems they could solve correctly; later, they were asked to solve those problems. They were asked to evaluate whether their solution to each of another set of problems was correct. Children’s ability to evaluate their answers to math problems improved from grade 2 to grade 3, whereas there was no change over time in the children’s ability to predict which problems they could solve correctly. Children with MLD were less accurate than children without MLD in evaluating both their correct and incorrect solutions, and they were less accurate at predicting which problems they could solve correctly. However, children with MLD were as accurate as their peers in correctly predicting that they could not solve specific math problems. The findings have implications for the usefulness of children’s self-review during mathematics problem solving. PMID:20084181
ERIC Educational Resources Information Center
Mikula, Brendon D.; Heckler, Andrew F.
2017-01-01
We propose a framework for improving accuracy, fluency, and retention of basic skills essential for solving problems relevant to STEM introductory courses, and implement the framework for the case of basic vector math skills over several semesters in an introductory physics course. Using an iterative development process, the framework begins with…
Using Concurrent Verbalization to Measure Math Comprehension
ERIC Educational Resources Information Center
Lambeth, Cathryn Colley
2012-01-01
The current study investigated variability in student performance on a concurrent verbalization measure based on a grade-level sample math word problem and sought to determine to what extent the variability in verbalization scores is related to scores on a reliable measure of reading (DIBELS Next) and math (easyCBM) and to student factors (e.g.…
Refractive Thinking Profile In Solving Mathematical Problem Reviewed from Students Math Capability
NASA Astrophysics Data System (ADS)
Maslukha, M.; Lukito, A.; Ekawati, R.
2018-01-01
Refraction is a mental activity experienced by a person to make a decision through reflective thinking and critical thinking. Differences in mathematical capability have an influence on the difference of student’s refractive thinking processes in solving math problems. This descriptive research aims to generate a picture of refractive thinking of students in solving mathematical problems in terms of students’ math skill. Subjects in this study consisted of three students, namely students with high, medium, and low math skills based on mathematics capability test. Data collection methods used are test-based methods and interviews. After collected data is analyzed through three stages that are, condensing and displaying data, data display, and drawing and verifying conclusion. Results showed refractive thinking profiles of three subjects is different. This difference occurs at the planning and execution stage of the problem. This difference is influenced by mathematical capability and experience of each subject.
Dekker, M C; Ziermans, T B; Swaab, H
2016-11-01
Little is known about the role of behavioural executive functioning (EF) skills and level of intelligence (IQ) on math abilities in children with mild to borderline intellectual disabilities. Teachers of 63 children attending a school for special education (age: 10 to 13 years; IQ: 50 to 85) filled out a Behaviour Rating Inventory for Executive Function for each student. Furthermore, students took a standardised national composite math test and a specific math test on measurement and time problems. Information on level of intelligence was gathered through school records. Multiple regression analyses were performed to test direct, moderating and mediating effects of EF and IQ on math performance. Behavioural problems with working memory and flexibility had a direct negative effect on math outcome, while concurrently, level of intelligence had a positive effect. The effect of IQ on math skills was moderated by problems with inhibition: in children with a clinical level of inhibition problems, there was no effect of level of intelligence on math performance. Findings suggest that in students with mild to borderline intellectual disabilities and math difficulties, it is important to address their strengths and weaknesses with respect to EF and adjust instruction and remedial intervention accordingly. © 2016 MENCAP and International Association of the Scientific Study of Intellectual and Developmental Disabilities and John Wiley & Sons Ltd.
Lambert, Katharina; Spinath, Birgit
The aim of the present study was to investigate the associations between elementary school children's mathematical achievement and their conservation abilities, visuospatial skills, and numerosity processing speed. We also assessed differences in these abilities between children with different types of learning problems. In Study 1 ( N = 229), we investigated second to fourth graders and in Study 2 ( N = 120), third and fourth graders. Analyses revealed significant contributions of numerosity processing speed and visuospatial skills to math achievement beyond IQ. Conservation abilities were predictive in Study 1 only. Children with math difficulties showed lower visuospatial skills and conservation abilities than children with typical achievement levels and children with reading and/or spelling difficulties, whereas children with combined difficulties explicitly showed low conservation abilities. These findings provide further evidence for the relations between children's math skills and their visuospatial skills, conservation abilities, and processing speed and contribute to the understanding of deficits that are specific to mathematical difficulties.
ERIC Educational Resources Information Center
What Works Clearinghouse, 2014
2014-01-01
A recent study, "The Effects of Cognitive Strategy Instruction on Math Problem Solving of Middle School Students of Varying Ability," examined the effectiveness of "Solve It!," a program intended to improve the problem-solving skills of seventh-grade math students. During the program, students are taught cognitive strategies of…
Grade-Aligned Math Instruction for Secondary Students with Moderate Intellectual Disability
ERIC Educational Resources Information Center
Browder, Diane M.; Jimenez, Bree A.; Trela, Katherine
2012-01-01
The purpose of this study was to examine the effects of grade-aligned math instruction on math skill acquisition of four middle schools with moderate intellectual disability. Teachers were trained to follow a task analysis to teach grade-aligned math to middle school students using adapted math problem stories and graphic organizers. The teacher…
Kesler, Shelli R.; Sheau, Kristen; Koovakkattu, Della; Reiss, Allan L.
2011-01-01
Number sense is believed to be critical for math development. It is putatively an implicitly learned skill and may therefore have limitations in terms of being explicitly trained, particularly in individuals with altered neurodevelopment. A case series study was conducted using an adaptive, computerized program that focused on number sense and general problem solving skills was designed to investigate training effects on performance as well as brain function in a group of children with Turner syndrome who are at risk for math difficulties and altered development of math-related brain networks. Standardized measurements of math and math-related cognitive skills as well as functional magnetic resonance imaging (fMRI) were used to assess behavioral and neurobiologic outcomes following training. Participants demonstrated significantly increased basic math skills, including number sense, and calculation as well as processing speed, cognitive flexibility and visual-spatial processing skills. With the exception of calculation, increased scores also were clinically significant (i.e. recovered) based on reliable change analysis. Participants additionally demonstrated significantly increased bilateral parietal lobe activation and decreased frontal-striatal and mesial temporal activation following the training program. These findings show proof of concept for an accessible training approach that may be potentially associated with improved number sense, math and related skills, as well as functional changes in math-related neural systems, even among individuals at risk for altered brain development. PMID:21714745
ERIC Educational Resources Information Center
Harris, Paulette Proctor; Pollingue, Alice B.; Hearrington, Doug; Holmes, Arthur
2014-01-01
New special education teachers often struggle to teach children the mathematics vocabulary necessary to understand and effectively solve math word problems. The authors designed and implemented a pilot program to prepare pre-service teachers majoring in special education to implement the Camelot Learning Math Intervention Program (CLMIP). We met…
Development of a Math-Learning App for Students with Visual Impairments
ERIC Educational Resources Information Center
Beal, Carole R.; Rosenblum, L. Penny
2015-01-01
The project was conducted to make an online tutoring program for math word problem solving accessible to students with visual impairments (VI). An online survey of teachers of students with VI (TVIs) guided the decision to provide the math content in the form of an iPad app, accompanied by print and braille materials. The app includes audio…
ERIC Educational Resources Information Center
Boonen, Anton J. H.; Reed, Helen C.; Schoonenboom, Judith; Jolles, Jelle
2016-01-01
Non-routine word problem solving is an essential feature of the mathematical development of elementary school students worldwide. Many students experience difficulties in solving these problems due to erroneous problem comprehension. These difficulties could be alleviated by instructing students how to use visual representations that clarify the…
Designing Personalized Spaces that Impact Student Achievement
ERIC Educational Resources Information Center
Fielding, Randy
2009-01-01
"Yes we can!" Those famous three words of the Obama campaign could serve as the theme for the culture of hope and excellence at the Cristo Rey Jesuit High School in Minneapolis, Minnesota. Many of the students arrive in the 9th grade with reading and math skills at an early elementary school level. Others lack the basic life skills to…
NASA Astrophysics Data System (ADS)
Mushlihuddin, R.; Nurafifah; Irvan
2018-01-01
The student’s low ability in mathematics problem solving proved to the less effective of a learning process in the classroom. Effective learning was a learning that affects student’s math skills, one of which is problem-solving abilities. Problem-solving capability consisted of several stages: understanding the problem, planning the settlement, solving the problem as planned, re-examining the procedure and the outcome. The purpose of this research was to know: (1) was there any influence of PBL model in improving ability Problem solving of student math in a subject of vector analysis?; (2) was the PBL model effective in improving students’ mathematical problem-solving skills in vector analysis courses? This research was a quasi-experiment research. The data analysis techniques performed from the test stages of data description, a prerequisite test is the normality test, and hypothesis test using the ANCOVA test and Gain test. The results showed that: (1) there was an influence of PBL model in improving students’ math problem-solving abilities in vector analysis courses; (2) the PBL model was effective in improving students’ problem-solving skills in vector analysis courses with a medium category.
ERIC Educational Resources Information Center
Swanson, H. Lee; Lussier, Cathy; Orosco, Michael
2013-01-01
This study investigated the role of strategy instruction and cognitive abilities on word problem solving accuracy in children with math difficulties (MD). Elementary school children (N = 120) with and without MD were randomly assigned to 1 of 4 conditions: general-heuristic (e.g., underline question sentence), visual-schematic presentation…
Automatic Item Generation via Frame Semantics: Natural Language Generation of Math Word Problems.
ERIC Educational Resources Information Center
Deane, Paul; Sheehan, Kathleen
This paper is an exploration of the conceptual issues that have arisen in the course of building a natural language generation (NLG) system for automatic test item generation. While natural language processing techniques are applicable to general verbal items, mathematics word problems are particularly tractable targets for natural language…
ERIC Educational Resources Information Center
Nortvedt, Guri A.
2011-01-01
This article discusses how 13-year-old students with above-average numeracy skills and below-average reading skills cope with comprehending word problems. Compared to other students who are proficient in numeracy and are skilled readers, these students are more disadvantaged when solving single-step and multistep arithmetic word problems. The…
Five Ideas for 21st Century Math Classrooms
ERIC Educational Resources Information Center
Gasser, Kenneth W.
2011-01-01
This article draws on the 21st Century Skills Movement and the successful teaching practices of Asian schools in order to provide five suggestions that secondary math teachers can incorporate into their classrooms in order to promote the skill set necessary for an ever-changing global economy. Problem-based instruction, student-led solutions, risk…
The Effect of Using the TI-92 on Basic College Algebra Students' Ability To Solve Word Problems.
ERIC Educational Resources Information Center
Runde, Dennis C.
As part of an effort to improve community college algebra students' ability to solve word problems, a study was undertaken at Florida's Manatee Community College to determine the effects of using heuristic instruction (i.e., providing general rules for solving different types of math problems) in combination with the TI-92 calculator. The TI-92…
Non-symbolic approximate arithmetic training improves math performance in preschoolers.
Park, Joonkoo; Bermudez, Vanessa; Roberts, Rachel C; Brannon, Elizabeth M
2016-12-01
Math proficiency at early school age is an important predictor of later academic achievement. Thus, an important goal for society should be to improve math readiness in preschool-age children, especially in low-income children who typically arrive in kindergarten with less mathematical competency than their higher income peers. The majority of existing research-based math intervention programs target symbolic verbal number concepts in young children. However, very little attention has been paid to the preverbal intuitive ability to approximately represent numerical quantity, which is hypothesized to be an important foundation for full-fledged mathematical thinking. Here, we tested the hypothesis that repeated engagement of non-symbolic approximate addition and subtraction of large arrays of items results in improved math skills in very young children, an idea that stems from our previous studies in adults. In the current study, 3- to 5-year-olds showed selective improvements in math skills after multiple days of playing a tablet-based non-symbolic approximate arithmetic game compared with children who played a memory game. These findings, collectively with our previous reports, suggest that mental manipulation of approximate numerosities provides an important tool for improving math readiness, even in preschoolers who have yet to master the meaning of number words. Copyright © 2016 Elsevier Inc. All rights reserved.
Non-symbolic approximate arithmetic training improves math performance in preschoolers
Park, Joonkoo; Bermudez, Vanessa; Roberts, Rachel C.; Brannon, Elizabeth M.
2016-01-01
Math proficiency in early school age is an important predictor of later academic achievement. Thus, an important goal for society should be to improve math readiness in pre-school age children, especially in low-income children who typically arrive in kindergarten with less mathematical competency than their higher-income peers. The majority of existing research-based math intervention programs target symbolic, verbal number concepts in young children. However, very little attention has been paid to the preverbal, intuitive ability to approximately represent numerical quantity, which is hypothesized to be an important foundation for full-fledged mathematical thinking. Here, we test the hypothesis that repeated engagement of non-symbolic approximate addition and subtraction of large array of items results in improved math skills in very young children, an idea that stems from our previous studies in adults. Three to five year-old children showed selective improvements in math skills after multiple days of playing a tablet-based non-symbolic approximate arithmetic game compared to children who played a memory game. These findings, collectively with our previous reports, suggest that mental manipulation of approximate numerosities provides an important tool for improving math readiness, even in preschoolers who have yet to master the meaning of number words. PMID:27596808
ERIC Educational Resources Information Center
Jenks, Kathleen M.; van Lieshout, Ernest C. D. M.; de Moor, Jan M. H.
2012-01-01
Background: Remarkably few studies have investigated the nature and origin of learning difficulties in children with cerebral palsy (CP). Aims: To investigate math achievement in terms of word-problem solving ability in children with CP and controls. Because of the potential importance of reading for word-problem solving, we investigated reading…
Isbell, Elif; Calkins, Susan D; Swingler, Margaret M; Leerkes, Esther M
2018-03-01
Attentional control fluctuates in the presence of internal and external distractors, wandering on and off a given task. The current study investigated individual differences in attentional fluctuations in 250 preschoolers. Attentional fluctuations were assessed via intra-individual variability in response time in a Go/No-Go task. Greater fluctuations in attentional control were linked to lower task accuracy. In addition, greater attentional fluctuations predicted lower performance in a task of cognitive flexibility, the Dimensional Change Card Sort task. Attentional fluctuations were also associated with laboratory measures of academic readiness in preschool, as assessed by the Applied Problems and Letter-Word Identification subscales of the Woodcock-Johnson III Tests of Achievement, which in turn predicted teacher reports of academic performance in first grade. Attentional fluctuations also had indirect associations with emergent math skills in preschool, via cognitive flexibility, as well as indirect associations with first-grade teacher reports of academic performance, via the relations between cognitive flexibility and emergent math skills in preschool. These results suggest that consistency is an important aspect of attentional control during early childhood. Copyright © 2017 Elsevier Inc. All rights reserved.
ERIC Educational Resources Information Center
Feng, Chengde
1992-01-01
Fourteen mathematics problems from the 1987 Chinese Primary School Mathematics Examination for fifth and sixth grade students are presented. The word problems, accompanied by answers, involve algebra, division, ratios, areas, and other mathematical processes. (JDD)
Multidimensional assessment of self-regulated learning with middle school math students.
Callan, Gregory L; Cleary, Timothy J
2018-03-01
This study examined the convergent and predictive validity of self-regulated learning (SRL) measures situated in mathematics. The sample included 100 eighth graders from a diverse, urban school district. Four measurement formats were examined including, 2 broad-based (i.e., self-report questionnaire and teacher ratings) and 2 task-specific measures (i.e., SRL microanalysis and behavioral traces). Convergent validity was examined across task-difficulty, and the predictive validity was examined across 3 mathematics outcomes: 2 measures of mathematical problem solving skill (i.e., practice session math problems, posttest math problems) and a global measure of mathematical skill (i.e., standardized math test). Correlation analyses were used to examine convergent validity and revealed medium correlations between measures within the same category (i.e., broad-based or task-specific). Relations between measurement classes were not statistically significant. Separate regressions examined the predictive validity of the SRL measures. While controlling all other predictors, a SRL microanalysis metacognitive-monitoring measure emerged as a significant predictor of all 3 outcomes and teacher ratings accounted for unique variance on 2 of the outcomes (i.e., posttest math problems and standardized math test). Results suggest that a multidimensional assessment approach should be considered by school psychologists interested in measuring SRL. (PsycINFO Database Record (c) 2018 APA, all rights reserved).
Bowland Maths: Problem Solving in Key Stage 3
ERIC Educational Resources Information Center
Lane, Peter; Lister, Adelaide; Onion, Alice; Wintle, Karen
2008-01-01
A project has been developed for KS3 maths, funded by the Bowland Trust (www.bowlandmaths.org.uk) with additional support from the DCSF. It consists of a teaching resource of about 20 case-study problems aimed at developing thinking, reasoning and problem-solving skills and has been distributed to all UK secondary schools. Each case study includes…
NASA Astrophysics Data System (ADS)
Murrah, William M., III
The achievement score gaps between advantaged and disadvantaged children at school entry is a major problem in education today. Identifying the skills critical for school readiness is an important step in developing interventions aimed at addressing these score gaps. The purpose of this study is to compare a number of school readiness skills with an eye toward finding out which are the best predictors of later academic achievement in math, reading, and science. The predictors were early reading, math, general knowledge, socioemotional skills, and motor skills. Data were obtained from the Early Childhood Longitudinal Study of 1998 (NCES, 1998) database. While controlling for an extensive set of family characteristics, predictions were made across five years - from the end of kindergarten to the end of fifth grade. Consistent with current findings, reading and math skills predicted later achievement. Interestingly, general knowledge, attention, and fine motor skills also proved to be important predictors of later academic achievement, but socioemotional skills were not. The findings were interpreted from a neurobiological perspective involving the development of self-regulation. These school entry skills are used to predict later achievement in reading, math, and science. I argued that in addition to acquiring early academic knowledge, children need to regulate the use of this knowledge to meet academic goals.
ERIC Educational Resources Information Center
Lambert, Katharina; Spinath, Birgit
2018-01-01
The aim of the present study was to investigate the associations between elementary school children's mathematical achievement and their conservation abilities, visuospatial skills, and numerosity processing speed. We also assessed differences in these abilities between children with different types of learning problems. In Study 1 (N = 229), we…
Effective pedagogies for teaching math to nursing students: a literature review.
Hunter Revell, Susan M; McCurry, Mary K
2013-11-01
Improving mathematical competency and problem-solving skills in undergraduate nursing students has been an enduring challenge for nurse educators. A number of teaching strategies have been used to address this problem with varying degrees of success. This paper discusses a literature review which examined undergraduate nursing student challenges to learning math, methods used to teach math and problem-solving skills, and the use of innovative pedagogies for teaching. The literature was searched using the Cumulative Index of Nursing and Allied Health Literature and Education Resource Information Center databases. Key search terms included: math*, nurs*, nursing student, calculation, technology, medication administration, challenges, problem-solving, personal response system, clickers, computer and multi-media. Studies included in the review were published in English from 1990 to 2011. Results support four major themes which include: student challenges to learning, traditional pedagogies, curriculum strategies, and technology and integrative methods as pedagogy. The review concludes that there is a need for more innovative pedagogical strategies for teaching math to student nurses. Nurse educators in particular play a central role in helping students learn the conceptual basis, as well as practical hands-on methods, to problem solving and math competency. It is recommended that an integrated approach inclusive of technology will benefit students through better performance, increased understanding, and improved student satisfaction. Copyright © 2012 Elsevier Ltd. All rights reserved.
Teaching Math. Extending Problem Solving.
ERIC Educational Resources Information Center
May, Lola
1996-01-01
Describes four teaching activities to help children extend math problem-solving skills by using their own questions. Activities involve using a chart and symbols to develop equations adding up to 12, going on an imaginary shopping trip, using shapes to represent dollar amounts, using the date on a penny to engage in various mathematical…
Undergraduate nursing students' perceptions regarding factors that affect math abilities
NASA Astrophysics Data System (ADS)
Pyo, Katrina A.
2011-07-01
A review of the nursing literature reveals many undergraduate nursing students lack proficiency with basic mathematical skills, those necessary for safe medication preparation and administration. Few studies exploring the phenomenon from the undergraduate nursing student perspective are reported in the nursing literature. The purpose of this study was to explore undergraduate nursing students’ perceptions of math abilities, factors that affect math abilities, the use of math in nursing, and the extent to which specific math skills were addressed throughout a nursing curriculum. Polya’s Model for Problem Solving and the Bloom’s Taxonomy of Educational Objectives, Affective Domain served as the theoretical background for the study. Qualitative and quantitative methods were utilized to obtain data from a purposive sample of undergraduate nursing students from a private university in western Pennsylvania. Participants were selected based on the proficiency level with math skills, as determined by a score on the Elsevier’s HESI™ Admission Assessment (A2) Exam, Math Portion. Ten students from the “Excellent” benchmark group and eleven students from the “Needing Additional Assistance or Improvement” benchmark group participated in one-on-one, semi-structured interviews, and completed a 25-item, 4-point Likert scale survey that rated confidence levels with specific math skills and the extent to which these skills were perceived to be addressed in the nursing curriculum. Responses from the two benchmark groups were compared and contrasted. Eight themes emerged from the qualitative data. Findings related to mathematical approach and confidence levels with specific math skills were determined to be statistically significant.
Integrating Reform-Oriented Math Instruction in Special Education Settings
ERIC Educational Resources Information Center
Bottge, Brian A.; Rueda, Enrique; LaRoque, Perry T.; Serlin, Ronald C.; Kwon, Jungmin
2007-01-01
This mixed-methods study assessed the effects of Enhanced Anchored Instruction (EAI) on the math performance of adolescents with learning disabilities in math (MLD). A quasi-experimental pretest-posttest control group design with switching replications was used to measure students' computation and problem-solving skills on EAI compared to control…
Improving Success in Developmental Mathematics: An Interview with Paul Nolting
ERIC Educational Resources Information Center
Boylan, Hunter R.
2011-01-01
This article presents an interview with Dr. Paul Nolting, a national expert in assessing individual math learning problems, developing effective student learning strategies, and assessing institutional variables that affect math success. Since his dissertation in 1986 on improving math success with study skills Dr. Nolting has consulted with over…
Math Word Problems: Reading Math Situations from the Start
ERIC Educational Resources Information Center
Sherman, Khristine; Gabriel, Rachael
2017-01-01
Reading and creating stories is a longstanding pedagogical approach to literacy learning in elementary school classrooms because stories offer personal and human experiences to which students can relate and respond. Stories, including digital forms such as short films, offer accounts of what it is to belong to a community and its worldviews and…
GAMES AND PUZZLES FOR THE MORE ABLE STUDENT.
ERIC Educational Resources Information Center
GOLDSMITH, JOHN
SUCH MATHEMATICAL GAMES AS DOMINOES FOR PRIMARY NUMBER RECOGNITION AND AS MILK BOTTLE TOPS FOR ADDITION AND SUBTRACTION ARE LISTED. A LIST OF SEVERAL MATH PROBLEMS, PUZZLES AND BRAIN TEASERS FOLLOW. QUIET GAMES OF PAPER CUTTING AND CROSS WORD PUZZLES FOR MATH VOCABULARY ARE INCLUDED. THE NEXT SECTION OF GAMES CONCERNS LANGUAGE. THESE INCLUDE…
Nelson, Kären C.; Marbach-Ad, Gili; Keller, Michael; Fagan, William F.
2010-01-01
There is widespread agreement within the scientific and education communities that undergraduate biology curricula fall short in providing students with the quantitative and interdisciplinary problem-solving skills they need to obtain a deep understanding of biological phenomena and be prepared fully to contribute to future scientific inquiry. MathBench Biology Modules were designed to address these needs through a series of interactive, Web-based modules that can be used to supplement existing course content across the biological sciences curriculum. The effect of the modules was assessed in an introductory biology course at the University of Maryland. Over the course of the semester, students showed significant increases in quantitative skills that were independent of previous math course work. Students also showed increased comfort with solving quantitative problems, whether or not they ultimately arrived at the correct answer. A survey of spring 2009 graduates indicated that those who had experienced MathBench in their course work had a greater appreciation for the role of mathematics in modern biology than those who had not used MathBench. MathBench modules allow students from diverse educational backgrounds to hone their quantitative skills, preparing them for more complex mathematical approaches in upper-division courses. PMID:20810959
Thompson, Katerina V; Nelson, Kären C; Marbach-Ad, Gili; Keller, Michael; Fagan, William F
2010-01-01
There is widespread agreement within the scientific and education communities that undergraduate biology curricula fall short in providing students with the quantitative and interdisciplinary problem-solving skills they need to obtain a deep understanding of biological phenomena and be prepared fully to contribute to future scientific inquiry. MathBench Biology Modules were designed to address these needs through a series of interactive, Web-based modules that can be used to supplement existing course content across the biological sciences curriculum. The effect of the modules was assessed in an introductory biology course at the University of Maryland. Over the course of the semester, students showed significant increases in quantitative skills that were independent of previous math course work. Students also showed increased comfort with solving quantitative problems, whether or not they ultimately arrived at the correct answer. A survey of spring 2009 graduates indicated that those who had experienced MathBench in their course work had a greater appreciation for the role of mathematics in modern biology than those who had not used MathBench. MathBench modules allow students from diverse educational backgrounds to hone their quantitative skills, preparing them for more complex mathematical approaches in upper-division courses.
Fuchs, Lynn S.; Zumeta, Rebecca O.; Schumacher, Robin Finelli; Powell, Sarah R.; Seethaler, Pamela M.; Hamlett, Carol L.; Fuchs, Douglas
2010-01-01
The purpose of this study was to assess the effects of schema-broadening instruction (SBI) on second graders’ word-problem-solving skills and their ability to represent the structure of word problems using algebraic equations. Teachers (n = 18) were randomly assigned to conventional word-problem instruction or SBI word-problem instruction, which taught students to represent the structural, defining features of word problems with overarching equations. Intervention lasted 16 weeks. We pretested and posttested 270 students on measures of word-problem skill; analyses that accounted for the nested structure of the data indicated superior word-problem learning for SBI students. Descriptive analyses of students’ word-problem work indicated that SBI helped students represent the structure of word problems with algebraic equations, suggesting that SBI promoted this aspect of students’ emerging algebraic reasoning. PMID:20539822
Bae, Young Seh; Chiang, Hsu-Min; Hickson, Linda
2015-07-01
This study examined the difference between children with autism spectrum disorders (ASD) and children with typical development (TD) in mathematical word problem solving ability and the factors associated with these children's word problem-solving ability. A total of 20 children with ASD and 20 children with TD participated in this study. Independent sample t tests and Spearman's rho correlations were used for data analysis. This study found: (a) Children with TD had higher word problem solving ability than did children with ASD; (b) Sentence comprehension, math vocabulary, computation, and everyday mathematical knowledge were associated with word problem solving ability of children with ASD and children with TD; and (c) Children with TD had higher everyday mathematical knowledge than did children with ASD.
When Opportunity Knocks: Integrating Language Arts and the Daily Calendar
ERIC Educational Resources Information Center
Biddle, Melissa
2007-01-01
With daily classroom schedules jammed with many concepts and skills to cover, integrating subjects whenever possible offers some relief. Primary classrooms can use their daily calendar time to integrate language arts and math. This teaching approach includes the use of word walls, interactive writing, journaling, and other effective teaching…
Effect of using a treadmill workstation on performance of simulated office work tasks.
John, Dinesh; Bassett, David; Thompson, Dixie; Fairbrother, Jeffrey; Baldwin, Debora
2009-09-01
Although using a treadmill workstation may change the sedentary nature of desk jobs, it is unknown if walking while working affects performance on office-work related tasks. To assess differences between seated and walking conditions on motor skills and cognitive function tests. Eleven males (24.6 +/- 3.5 y) and 9 females (27.0 +/- 3.9 y) completed a test battery to assess selective attention and processing speed, typing speed, mouse clicking/drag-and-drop speed, and GRE math and reading comprehension. Testing was performed under seated and walking conditions on 2 separate days using a counterbalanced, within subjects design. Participants did not have an acclimation period before the walking condition. Paired t tests (P < .05) revealed that in the seated condition, completion times were shorter for mouse clicking (26.6 +/- 3.0 vs. 28.2 +/- 2.5s) and drag-and-drop (40.3 +/- 4.2 vs. 43.9 +/- 2.5s) tests, typing speed was greater (40.2 +/- 9.1 vs. 36.9 +/- 10.2 adjusted words x min(-1)), and math scores were better (71.4 +/- 15.2 vs. 64.3 +/- 13.4%). There were no significant differences between conditions in selective attention and processing speed or in reading comprehension. Compared with the seated condition, treadmill walking caused a 6% to 11% decrease in measures of fine motor skills and math problem solving, but did not affect selective attention and processing speed or reading comprehension.
Wang, Amber Y; Fuchs, Lynn S; Fuchs, Douglas
2016-12-01
The purpose of this study was to identify cognitive and linguistic predictors of word problems with versus without irrelevant information. The sample was 701 2nd-grade students who received no specialized intervention on word problems. In the fall, they were assessed on initial arithmetic and word-problem skill as well as language ability, working memory capacity, and processing speed; in the spring, they were tested on a word-problem measure that included items with versus without irrelevant information. Significant predictors common to both forms of word problems were initial arithmetic and word problem-solving skill as well as language and working memory. Nonverbal reasoning predicted word problems with irrelevant information, but not word problems without irrelevant information. Findings are discussed in terms of implications for intervention and future research.
ERIC Educational Resources Information Center
Wilburne, Jane M.; Keat, Jane B.; Napoli, Mary P.
2011-01-01
Nervous about teaching math to young children? Too pressed for time to teach all of the math concepts children need to know? Now there's a practical, stress-free guide to one of the most effective ways to enhance children's mathematical thinking in pre-K-Grade 3--by weaving math concepts into storytime. Ready for any educator to pick up and start…
Effects of Enhanced Anchored Instruction on Skills Aligned to Common Core Math Standards
ERIC Educational Resources Information Center
Bottge, Brian A.; Cho, Sun-Joo
2013-01-01
This study compared how students with learning difficulties in math (MLD) who were randomly assigned to two instructional conditions answered items on problem solving tests aligned to the Common Core State Standards Initiative for Mathematics. Posttest scores showed improvement in the math performance of students receiving Enhanced Anchored…
Helping Your Child Learn Math: Math Tips for Parents
ERIC Educational Resources Information Center
Nebraska Department of Education, 2010
2010-01-01
This paper presents tips, activities, resources, and games that parents can use to help their children become more proficient in math. Some helpful tips offered are: (1) Be positive; (2) Play family games; (3) Avoid stereotypes; (4) Choose gifts that develop problem solving skills; (5) Expand your children's horizons; (6) Buy or borrow library…
ERIC Educational Resources Information Center
Moscardini, Lio
2010-01-01
This study by Lio Moscardini of the University of Strathclyde shows how a group of 24 children in three Scottish primary schools for pupils with moderate learning difficulties responded to word problems following their teachers' introduction to the principles of Cognitively Guided Instruction (CGI). CGI is a professional development programme in…
Longitudinal Mediators of Achievement in Mathematics and Reading in Typical and Atypical Development
Barnes, Marcia A.; Raghubar, Kimberly P.; English, Lianne; Williams, Jeffrey M.; Taylor, Heather; Landry, Susan
2014-01-01
Longitudinal studies of neurodevelopmental disorders that are diagnosed at or before birth and which are associated with specific learning difficulties at school-age provide one method for investigating developmental precursors of later-emerging academic disabilities. Spina bifida myelomeningocele (SBM) is a neurodevelopmental disorder associated with particular problems in mathematics, in contrast to well-developed word reading. Children with SBM (n = 30) and typically developing children (n = 35) were used to determine whether cognitive abilities measured at 36 and 60 months of age mediated the effect of group on mathematical and reading achievement outcomes at 8.5 and 9.5 years of age. A series of multiple mediator models showed that: visual-spatial working memory at 36 months and phonological awareness at 60 months partially mediated the effect of group on math calculations; phonological awareness partially mediated the effect of group on small addition and subtraction problems on a test of math fluency; and visual-spatial working memory mediated the effect of group on a test of math problem solving. Groups did not differ on word reading, and phonological awareness was the only mediator for reading fluency and reading comprehension. The findings are discussed with reference to theories of mathematical development and disability and with respect to both common and differing cognitive correlates of math and reading. PMID:24269579
Fuchs, Lynn S.; Fuchs, Douglas
2016-01-01
The purpose of this study was to identify cognitive and linguistic predictors of word problems with versus without irrelevant information. The sample was 701 2nd-grade students who received no specialized intervention on word problems. In the fall, they were assessed on initial arithmetic and word-problem skill as well as language ability, working memory capacity, and processing speed; in the spring, they were tested on a word-problem measure that included items with versus without irrelevant information. Significant predictors common to both forms of word problems were initial arithmetic and word problem-solving skill as well as language and working memory. Nonverbal reasoning predicted word problems with irrelevant information, but not word problems without irrelevant information. Findings are discussed in terms of implications for intervention and future research. PMID:28190942
Fluid reasoning predicts future mathematics among children and adolescents
Green, Chloe T.; Bunge, Silvia A.; Chiongbian, Victoria Briones; Barrow, Maia; Ferrer, Emilio
2017-01-01
The aim of this longitudinal study was to determine whether fluid reasoning (FR) plays a significant role in the acquisition of mathematics skills, above and beyond the effects of other cognitive and numerical abilities. Using a longitudinal cohort sequential design, we examined how FR measured at three assessment occasions, spaced approximately 1.5 years apart, predicted math outcomes for a group of 69 participants between ages 6 and 21 across all three assessment occasions. We used structural equation modeling (SEM) to examine the direct and indirect relations between children's prior cognitive abilities and their future math achievement. A model including age, FR, vocabulary, and spatial skills accounted for 90% of the variance in future math achievement. In this model, FR was the only significant predictor of future math achievement; neither age, vocabulary, nor spatial skills were significant predictors. Thus, FR was the only predictor of future math achievement across a wide age range that spanned primary and secondary school. These findings build on Cattell's conceptualization of FR (Cattell, 1987) as a scaffold for learning, showing that this domain-general ability supports the acquisition of rudimentary math skills as well as the ability to solve more complex mathematical problems. PMID:28152390
ERIC Educational Resources Information Center
Quinn, Diane M.; Spencer, Steven J.
2001-01-01
Investigated whether stereotype threat would depress college women's math performance. In one test, men outperformed women when solving word problems, though women performed equally when problems were converted into numerical equivalents. In another test, participants solved difficult problems in high or reduced stereotype threat conditions. Women…
Attentional bias in high math-anxious individuals: evidence from an emotional Stroop task
Suárez-Pellicioni, Macarena; Núñez-Peña, Maria Isabel; Colomé, Àngels
2015-01-01
Attentional bias toward threatening or emotional information is considered a cognitive marker of anxiety, and it has been described in various clinical and subclinical populations. This study used an emotional Stroop task to investigate whether math anxiety is characterized by an attentional bias toward math-related words. Two previous studies failed to observe such an effect in math-anxious individuals, although the authors acknowledged certain methodological limitations that the present study seeks to avoid. Twenty high math-anxious (HMA) and 20 low math-anxious (LMA) individuals were presented with an emotional Stroop task including math-related and neutral words. Participants in the two groups did not differ in trait anxiety or depression. We found that the HMA group showed slower response times to math-related words than to neutral words, as well as a greater attentional bias (math-related – neutral difference score) than the LMA one, which constitutes the first demonstration of an attentional bias toward math-related words in HMA individuals. PMID:26539137
The Association between Mathematical Word Problems and Reading Comprehension
ERIC Educational Resources Information Center
Vilenius-Tuohimaa, Piia Maria; Aunola, Kaisa; Nurmi, Jari-Erik
2008-01-01
This study aimed to investigate the interplay between mathematical word problem skills and reading comprehension. The participants were 225 children aged 9-10 (Grade 4). The children's text comprehension and mathematical word problem-solving performance was tested. Technical reading skills were investigated in order to categorise participants as…
Don't Just Do the Math--Type It!
ERIC Educational Resources Information Center
Stephens, Greg
2016-01-01
Most word processors, including Google Docs™ and Microsoft® Word, include an equation editor. These are great tools for the occasional homework problem or project assignment. Getting the mathematics to display correctly means making decisions about exactly which elements of an expression go where. The feedback is immediate: Students can see…
Americans Need Advanced Math to Stay Globally Competitive. Math Works
ERIC Educational Resources Information Center
Achieve, Inc., 2013
2013-01-01
No student who hopes to compete in today's rapidly evolving global economy and job market can afford to graduate from high school with weak mathematical skills, which include the ability to use logic, reason, and solve problems. The benefits associated with improving the math performance of American students also extend to the larger U.S. economy.…
ERIC Educational Resources Information Center
Adams, Dennis; Hamm, Mary
2011-01-01
"Shaping the Future with Math, Science, and Technology" examines how ingenuity, creativity, and teamwork skills are part of an intellectual toolbox associated with math, science, and technology. The book provides new ideas, proven processes, practical tools, and examples useful to educators who want to encourage students to solve problems and…
ERIC Educational Resources Information Center
Piselli, Katherine D.
2017-01-01
Math fluency, which refers to the ability to solve single digit arithmetic problems quickly and accurately, is a foundational mathematical skill. Recent research has examined the role of phonological processing, executive control, and number sense in explaining differences in math fluency performance in school-aged children. Identifying the links…
Effectiveness of the Touch Math Technique in Teaching Basic Addition to Children with Autism
ERIC Educational Resources Information Center
Yikmis, Ahmet
2016-01-01
This study aims to reveal whether the touch math technique is effective in teaching basic addition to children with autism. The dependent variable of this study is the children's skills to solve addition problems correctly, whereas teaching with the touch math technique is the independent variable. Among the single-subject research models, a…
Supermath: An Alternative Approach to Improving Math Performance in Grades 4 through 9
ERIC Educational Resources Information Center
Pogrow, Stanley
2004-01-01
In this article, the author shares a decade's worth of experience in developing an approach to teaching math to upper-elementary and middle school students that simultaneously increases basic skills, improves problem solving, raises test scores, and sparks student interest in math. Sections include: (1) Background Of Supermath; (2) Description Of…
ERIC Educational Resources Information Center
Alberta Dept. of Education, Edmonton.
This report reviews Apple computer courseware in business education, library skills, mathematics, science, special education, and word processing based on the curricular requirements of Alberta, Canada. It provides detailed evaluations of 23 authorized titles in business education (2), mathematics (20), and science (1); 3 of the math titles are…
Wei, Xin; Christiano, Elizabeth R A; Yu, Jennifer W; Wagner, Mary; Spiker, Donna
2015-02-01
This study examined the reading and math achievement profiles and longitudinal growth trajectories of a nationally representative sample of children ages 6 through 9 with an autism spectrum disorder. Four distinct achievement profiles were identified: higher-achieving (39%), hyperlexia (9%), hypercalculia (20%) and lower-achieving (32%). Children with hypercalculia and lower-achieving profiles were more likely to be from low socioeconomic families and had lower functional cognitive skills than the higher-achieving profile. All four profiles lost ground in passage comprehension over time. Slower improvement occurred for the higher-achieving group on letter-word identification, the hyperlexia group on conversation abilities and the hypercalculia group on calculation and functional cognitive skills relative to the lower-achieving group. © The Author(s) 2014.
Math and the Real World: Fun and Games. Teaching Math.
ERIC Educational Resources Information Center
May, Lola
1993-01-01
Describes three simple games that do not involve numbers and that can be used to teach children problem-solving strategies and math skills. The games are Tick-Tack-Toe; Jest, a game that uses a blocking strategy; and Nim, a game that uses a capturing strategy. All three games force students to plan ahead and calculate possible outcomes using…
ERIC Educational Resources Information Center
Denison, Aaron
2013-01-01
The purpose of this study was to examine the utility of a brief assessment for the selection of an effective instruction to increase fluency performance on computation math problems. Participants were four general education third-grade students who performed below the median score on a classwide administered multiple math skills probe. Students…
ERIC Educational Resources Information Center
Hall, Linda De Zell
2009-01-01
Math skills are essential to daily life, impacting a person's ability to function at home, work, and in the community. Although reading has been the focus in recent years, many students struggle in math. The inability to master math calculation and problem solving has contributed to the rising incidence of student failure, referrals for special…
Effects of peer tutoring and consequences on the math performance of elementary classroom students1
Harris, V. William; Sherman, James A.
1973-01-01
The effects of unstructured peer-tutoring procedures on the math performance of fourth- and fifth-grade students were investigated. Students' performances in two daily math sessions, during which they worked problems of the same type and difficulty, were compared. When students tutored each other over the same math problems as they subsequently worked, higher accuracies and rates of performance were associated with the tutored math sessions. The use of consequences for accurate performance seemed to enhance the effects of tutoring on accuracy. The results from an independent-study control condition, which was the same peer-tutoring except that students did not interact with each other, suggested that interactions between students during the tutoring procedure were, in part, responsible for improved accuracy and rate of performance. When students tutored each other over different but related problems to those that they were subsequently asked to solve, accuracies and rates during tutored math sessions were also higher, suggesting the development of generalized skills in solving particular types of math problems. PMID:16795443
Following the Template: Transferring Modeling Skills to Nonstandard Problems
ERIC Educational Resources Information Center
Tyumeneva, Yu. A.; Goncharova, M. V.
2017-01-01
This study seeks to analyze how students apply a mathematical modeling skill that was previously learned by solving standard word problems to the solution of word problems with nonstandard contexts. During the course of an experiment involving 106 freshmen, we assessed how well they were able to transfer the mathematical modeling skill that is…
Workplace Math I: Easing into Math.
ERIC Educational Resources Information Center
Wilson, Nancy; Goschen, Claire
This basic skills learning module includes instruction in performing basic computations, using general numerical concepts such as whole numbers, fractions, decimals, averages, ratios, proportions, percentages, and equivalents in practical situations. The problems are relevant to all aspects of the printing and manufacturing industry, with emphasis…
Arán Filippetti, Vanessa; Richaud, María Cristina
2017-10-01
Though the relationship between executive functions (EFs) and mathematical skills has been well documented, little is known about how both EFs and IQ differentially support diverse math domains in primary students. Inconsistency of results may be due to the statistical techniques employed, specifically, if the analysis is conducted with observed variables, i.e., regression analysis, or at the latent level, i.e., structural equation modeling (SEM). The current study explores the contribution of both EFs and IQ in mathematics through an SEM approach. A total of 118 8- to 12-year-olds were administered measures of EFs, crystallized (Gc) and fluid (Gf) intelligence, and math abilities (i.e., number production, mental calculus and arithmetical problem-solving). Confirmatory factor analysis (CFA) offered support for the three-factor solution of EFs: (1) working memory (WM), (2) shifting, and (3) inhibition. Regarding the relationship among EFs, IQ and math abilities, the results of the SEM analysis showed that (i) WM and age predict number production and mental calculus, and (ii) shifting and sex predict arithmetical problem-solving. In all of the SEM models, EFs partially or totally mediated the relationship between IQ, age and math achievement. These results suggest that EFs differentially supports math abilities in primary-school children and is a more significant predictor of math achievement than IQ level.
Barnes, Marcia A; Raghubar, Kimberly P; English, Lianne; Williams, Jeffrey M; Taylor, Heather; Landry, Susan
2014-03-01
Longitudinal studies of neurodevelopmental disorders that are diagnosed at or before birth and are associated with specific learning difficulties at school-age provide one method for investigating developmental precursors of later-emerging academic disabilities. Spina bifida myelomeningocele (SBM) is a neurodevelopmental disorder associated with particular problems in mathematics, in contrast to well-developed word reading. Children with SBM (n=30) and typically developing children (n=35) were used to determine whether cognitive abilities measured at 36 and 60 months of age mediated the effect of group on mathematical and reading achievement outcomes at 8.5 and 9.5 years of age. A series of multiple mediator models showed that: visual-spatial working memory at 36 months and phonological awareness at 60 months partially mediated the effect of group on math calculations, phonological awareness partially mediated the effect of group on small addition and subtraction problems on a test of math fluency, and visual-spatial working memory mediated the effect of group on a test of math problem solving. Groups did not differ on word reading, and phonological awareness was the only mediator for reading fluency and reading comprehension. The findings are discussed with reference to theories of mathematical development and disability and with respect to both common and differing cognitive correlates of math and reading. Copyright © 2013 Elsevier Inc. All rights reserved.
Literacy Profiles of At-Risk Young Adults Enrolled in Career and Technical Education
ERIC Educational Resources Information Center
Mellard, Daryl F.; Woods, Kari L.; Lee, Jae Hoon
2016-01-01
A latent profile analysis of 323 economically and academically at-risk adolescent and young adult learners yielded two classes: an average literacy class (92%) and a low literacy class (8%). The class profiles significantly differed in their word reading and math skills, and in their processing speeds and self-reported learning disabilities. The…
Multiply Math Skills with Literature. Literature Letter.
ERIC Educational Resources Information Center
Stoodt, Barbara D.
1995-01-01
This column discusses five children's books selected to develop math concepts involving problem solving, reasoning, and communication. The books are "Only One" (Marc Harshman); "The Librarian Who Measured the Earth" (Kathryn Lasky); "Counting Jennie" (Helena C. Pittman); "The Search for Delicious" (Natalie Babbitt); and "The Toothpaste…
On the Distribution of Free Path Lengthsfor the Periodic Lorentz Gas
NASA Astrophysics Data System (ADS)
Bourgain, Jean; Golse, François; Wennberg, Bernt
Consider the domain
NASA Astrophysics Data System (ADS)
Quinnell, R.; Thompson, R.; LeBard, R. J.
2013-09-01
Developing quantitative skills, or being academically numerate, is part of the curriculum agenda in science teaching and learning. For many of our students, being asked to 'do maths' as part of 'doing science' leads to disengagement from learning. Notions of 'I can't do maths' speak of a rigidity of mind, a 'standoff', forming a barrier to learning in science that needs to be addressed if we, as science educators, are to offer solutions to the so-called 'maths problem' and to support students as they move from being novice to expert. Moving from novice to expert is complex and we lean on several theoretical frameworks (thinking dispositions, threshold concepts and mindfulness in learning) to characterize this pathway in science, with a focus on quantitative skills. Fluid thinking and application of numeracy skills are required to manipulate experimental data sets and are integral to our science practice; we need to stop students from seeing them as optional 'maths' or 'statistics' tasks within our discipline. Being explicit about the ways those in the discipline think, how quantitative data is processed, and allowing places for students to address their skills (including their confidence) offer some ways forward.
ERIC Educational Resources Information Center
Allan, F.; Bourne, J.; Bouch, D.; Churches, R.; Dennison, J.; Evans, J.; Fowler, J.; Jeffers, A.; Prior, E.; Rhodes, L.
2012-01-01
Case study research suggests that NLP [neuro-linguistic programming] influencing strategies benefit teacher effectiveness. Maths pedagogy involving higher-order questioning, challenge, problem solving and collaborative working may be a way of improving attainment in adult numeracy learning, however, such strategies may be less effective if the…
Tuning Out the World with Noise-Canceling Headphones
ERIC Educational Resources Information Center
McCulloch, Allison W.; Whitehead, Ashley; Lovett, Jennifer N.; Whitley, Blake
2017-01-01
Context is what makes mathematical modeling tasks different from more traditional textbook word problems. Math problems are sometimes stripped of context as they are worked on. For modeling problems, however, context is important for making sense of the mathematics. The task should be brought back to its real-world context as often as possible. In…
Variations in Both-Addends-Unknown Problems
ERIC Educational Resources Information Center
Champagne, Zachary M.; Schoen, Robert; Riddell, Claire M.
2014-01-01
Early elementary school students are expected to solve twelve distinct types of word problems. A math researcher and two teachers pose a structure for thinking about one problem type that has not been studied as closely as the other eleven. In this article, the authors share some of their discoveries with regard to the variety of…
The role of early language abilities on math skills among Chinese children.
Zhang, Juan; Fan, Xitao; Cheung, Sum Kwing; Meng, Yaxuan; Cai, Zhihui; Hu, Bi Ying
2017-01-01
The present study investigated the role of early language abilities in the development of math skills among Chinese K-3 students. About 2000 children in China, who were on average aged 6 years, were assessed for both informal math (e.g., basic number concepts such as counting objects) and formal math (calculations including addition and subtraction) skills, language abilities and nonverbal intelligence. Correlation analysis showed that language abilities were more strongly associated with informal than formal math skills, and regression analyses revealed that children's language abilities could uniquely predict both informal and formal math skills with age, gender, and nonverbal intelligence controlled. Mediation analyses demonstrated that the relationship between children's language abilities and formal math skills was partially mediated by informal math skills. The current findings indicate 1) Children's language abilities are of strong predictive values for both informal and formal math skills; 2) Language abilities impacts formal math skills partially through the mediation of informal math skills.
The role of early language abilities on math skills among Chinese children
Fan, Xitao; Cheung, Sum Kwing; Cai, Zhihui; Hu, Bi Ying
2017-01-01
Background The present study investigated the role of early language abilities in the development of math skills among Chinese K-3 students. About 2000 children in China, who were on average aged 6 years, were assessed for both informal math (e.g., basic number concepts such as counting objects) and formal math (calculations including addition and subtraction) skills, language abilities and nonverbal intelligence. Methodology Correlation analysis showed that language abilities were more strongly associated with informal than formal math skills, and regression analyses revealed that children’s language abilities could uniquely predict both informal and formal math skills with age, gender, and nonverbal intelligence controlled. Mediation analyses demonstrated that the relationship between children’s language abilities and formal math skills was partially mediated by informal math skills. Results The current findings indicate 1) Children’s language abilities are of strong predictive values for both informal and formal math skills; 2) Language abilities impacts formal math skills partially through the mediation of informal math skills. PMID:28749950
Using a Math Pre-Test in a Large General Education Geoscience Course: How Effective?
NASA Astrophysics Data System (ADS)
Richardson, R. M.
2006-12-01
Teaching large (150 or more students) General Education Geoscience courses presents many challenges, but one of the most important is how to effectively incorporate quantitative literacy. Many students are math phobic, and will run to General Education courses that minimize quantitative aspects. I will present results from one approach that we have used successfully for at least two years: a math pre-test. Our General Education Geoscience course has no prerequisites other than admission to the University, and is designed for first and second year non-science students. Fortunately, with limited exceptions, all entering students at the University of Arizona take a Math Readiness Test (MRT) for math placement. With the cooperation of the Mathematics Department, we have used old MRT exams to selectively use questions that are of the highest utility for the course material `understanding graphs, linear equations and extrapolations, scientific notation and large numbers, word problems, and scaling/unit conversions. We administer the exam in the first discussion section. Students receive full credit for a `serious effort', and we score the exam. In recent semesters the percentage of correct answers has varied from just under 50% to nearly 90% on individual questions. The pre-test has several important benefits. First, it lets students know clearly up front that there will be mathematics in the class. Second, it lets students know the range of skills expected to be successful. Third, because the average score is between 70-80% it gives students confidence that they can do the math in the course. Fourth, we contact all students who score less than 50%, and offer help, including referral to tutoring service in Mathematics. Feedback from students has been positive. Unfortunately, when we compared scores on the math pre-test to final grades in the course, we found essentially no correlation. We are exploring a number of possible explanations. We are also seeing if our math pre-test scores correlate with the initial MRT score, and overall student success.
Mathematics anxiety in children with developmental dyscalculia.
Rubinsten, Orly; Tannock, Rosemary
2010-07-15
Math anxiety, defined as a negative affective response to mathematics, is known to have deleterious effects on math performance in the general population. However, the assumption that math anxiety is directly related to math performance, has not yet been validated. Thus, our primary objective was to investigate the effects of math anxiety on numerical processing in children with specific deficits in the acquisition of math skills (Developmental Dyscalculia; DD) by using a novel affective priming task as an indirect measure. Participants (12 children with DD and 11 typically-developing peers) completed a novel priming task in which an arithmetic equation was preceded by one of four types of priming words (positive, neutral, negative or related to mathematics). Children were required to indicate whether the equation (simple math facts based on addition, subtraction, multiplication or division) was true or false. Typically, people respond to target stimuli more quickly after presentation of an affectively-related prime than after one that is unrelated affectively. Participants with DD responded faster to targets that were preceded by both negative primes and math-related primes. A reversed pattern was present in the control group. These results reveal a direct link between emotions, arithmetic and low achievement in math. It is also suggested that arithmetic-affective priming might be used as an indirect measure of math anxiety.
Job Skills of the Financial Aid Professional.
ERIC Educational Resources Information Center
Heist, Vali
2002-01-01
Describes the skills practiced by student financial aid professionals which are valued by all employers, including problem solving, human relations, computer programming, teaching/training, information management, money management, business management, and science and math. Also describes how to develop skills outside of the office. (EV)
ERIC Educational Resources Information Center
Sen, Ceylan; Güler, Gürsel
2017-01-01
The study was conducted to reveal the effects of the instruction of different problem-solving strategies on the proportional reasoning skills of students in solving proportional problems in the 6th grade math's class. Quasi-experimental research model with pretest-posttest control group was employed in the study. For eight class hours, the…
ERIC Educational Resources Information Center
Cupillari, Antonella
2015-01-01
Practical problems that use mathematical concepts are among the highlights of any mathematics class, for better and for worse. Teachers are thrilled to show applications of new theoretical ideas, whereas most students dread "word problems." This article presents a sequence of three activities designed to get students to think about…
Math and science illiteracy: Social and economic impacts
DOE Office of Scientific and Technical Information (OSTI.GOV)
Williams, J.L.
1994-05-01
Today`s highly competitive global economy is being driven by increasingly rapid technological development. This paper explores the problems of math and science illiteracy in the United States and the potential impact on our economic survival in this environment during the next century. Established educational methods that reward task performance, emphasize passive lecture, and fail to demonstrate relevance to real life are partly to blame. Social norms, stereotypes, and race and gender bias also have an impact. To address this crisis, we need to question the philosophy of an educational system that values task over concept. Many schools have already initiatedmore » programs at all grade levels to make math and science learning more relevant, stimulating, and fun. Teaching methods that integrate math and science learning with teamwork, social context, and other academic subjects promote the development of higher-order thinking skills and help students see math and science as necessary skills.« less
ERIC Educational Resources Information Center
Rustling, Ruth; And Others
This manual offers detailed guidelines for parent group trainers who conduct workshops on problem solving, math, and science for parents of young children. In addition, discussion starters, a list of hands-on activities, directions for drawing and using a poster, and learning activities for children are described. Counting books are briefly…
Partnership Teaching: Success for All Children Using Math as a Vehicle.
ERIC Educational Resources Information Center
Adeeb, Patty; Bosnick, Janet; Terrell, Sue
1998-01-01
Using a constructivist and multicultural approach, math skills were taught in urban elementary classrooms. Acceptance of self and others, teamwork, problem solving, and critical thinking were emphasized. Game-formatted activities with hand-size wooden basketball goals and race cars were used to teach fractions and metrics. (MMU)
ERIC Educational Resources Information Center
Bernadowski, Carianne
2016-01-01
A qualitative case study design was used to explore the use of the think-aloud reading comprehension strategy in the implementation of math journals. The goal of the study was to determine if a teacher's direct instruction in the implementation of think-alouds improved "at risk" eighth-graders' abilities to answer word problems more…
Jansen, Brenda R J; De Lange, Eva; Van der Molen, Mariët J
2013-05-01
Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this delay. We aimed to improve math skills in an MBID-sample using computerized math training. Also, it was investigated whether EF and math performance were related and whether computerized math training had beneficial effects on EF. The sample consisted of a total of 58 adolescents (12-15 years) from special education. Participants were randomly assigned to either the experimental group or a treatment as usual (TAU) group. In the experimental condition, participants received 5 weeks of training. Math performance and EF were assessed before and after the training period. Math performance improved equally in both groups. However, frequently practicing participants improved more than participants in the control group. Visuo-spatial memory skills were positively related to addition and subtraction skills. Transfer effects from math training to EF were absent. It is concluded that math skills may increase if a reasonable effort in practicing math skills is made. The relation between visuo-spatial memory skills provides opportunities for improving math performance. Copyright © 2013 Elsevier Ltd. All rights reserved.
Student Math Skills Reference Manual.
ERIC Educational Resources Information Center
Wilson, Odell; And Others
This mathematics support guide is intended for use by vocational students and instructors as a review of essential mathematics concepts and for problem-solving exercises in the vocations. It is designed to accompany the "Mathematical Skills Inventory," which tests mathematics skills, attitudes, and background. A section entitled Arithmetic Skills…
Visual Attention and Math Performance in Survivors of Childhood Acute Lymphoblastic Leukemia.
Richard, Annette E; Hodges, Elise K; Heinrich, Kimberley P
2018-01-24
Attentional and academic difficulties, particularly in math, are common in survivors of childhood acute lymphoblastic leukemia (ALL). Of cognitive deficits experienced by survivors of childhood ALL, attention deficits may be particularly responsive to intervention. However, it is unknown whether deficits in particular aspects of attention are associated with deficits in math skills. The current study investigated relationships between math calculation skills, performance on an objective measure of sustained attention, and parent- and teacher-reported attention difficulties. Twenty-four survivors of childhood ALL (Mage = 13.5 years, SD= 2.8 years) completed a computerized measure of sustained attention and response control and a written measure of math calculation skills in the context of a comprehensive clinical neuropsychological evaluation. Parent and teacher ratings of inattention and impulsivity were obtained. Visual response control and visual attention accounted for 26.4% of the variance observed among math performance scores after controlling for IQ (p < .05). Teacher-rated, but not parent-rated, inattention was significantly negatively correlated with math calculation scores. Consistency of responses to visual stimuli on a computerized measure of attention is a unique predictor of variance in math performance among survivors of childhood ALL. Objective testing of visual response control, rather than parent-rated attentional problems, may have clinical utility in identifying ALL survivors at risk for math difficulties. © The Author(s) 2018. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com.
Jansen, Brenda R. J.; Schmitz, Eva A.; van der Maas, Han L. J.
2016-01-01
This study focused on the use of math in everyday life (the propensity to recognize and solve quantitative issues in real life situations). Data from a Dutch nation-wide research on math among adults (N = 521) were used to investigate the question whether math anxiety and perceived math competence mediated the relationship between math skills and use of math in everyday life, taken gender differences into account. Results showed that women reported higher math anxiety, lower perceived math competence, and lower use of math in everyday life, compared to men. Women's skills were estimated at a lower level than men's. For both women and men, higher skills were associated with higher perceived math competence, which in turn was associated with more use of math in everyday life. Only for women, math anxiety also mediated the relation between math skills and use of math in everyday life. PMID:27148122
Math and numeracy in young adults with spina bifida and hydrocephalus.
Dennis, Maureen; Barnes, Marcia
2002-01-01
The developmental stability of poor math skill was studied in 31 young adults with spina bifida and hydrocephalus (SBH), a neurodevelopmental disorder involving malformations of the brain and spinal cord. Longitudinally, individuals with poor math problem solving as children grew into adults with poor problem solving and limited functional numeracy. As a group, young adults with SBH had poor computation accuracy, computation speed, problem solving, a ndfunctional numeracy. Computation accuracy was related to a supporting cognitive system (working memory for numbers), and functional numeracy was related to one medical history variable (number of lifetime shunt revisions). Adult functional numeracy, but not functional literacy, was predictive of higher levels of social, personal, and community independence.
Predictors of Early Reading Skill in 5-Year-Old Children With Hearing Loss Who Use Spoken Language
Ching, Teresa Y.C.; Crowe, Kathryn; Day, Julia; Seeto, Mark
2013-01-01
This research investigated the concurrent association between early reading skills and phonological awareness (PA), print knowledge, language, cognitive, and demographic variables in 101 5-year-old children with prelingual hearing losses ranging from mild to profound who communicated primarily using spoken language. All participants were fitted with hearing aids (n = 71) or cochlear implants (n = 30). They completed standardized assessments of PA, receptive vocabulary, letter knowledge, word and non-word reading, passage comprehension, math reasoning, and nonverbal cognitive ability. Multiple regressions revealed that PA (assessed using judgments of similarity based on words’ initial or final sounds) made a significant, independent contribution to children’s early reading ability (for both letters and words/non-words) after controlling for variation in receptive vocabulary, nonverbal cognitive ability, and a range of demographic variables (including gender, degree of hearing loss, communication mode, type of sensory device, age at fitting of sensory devices, and level of maternal education). Importantly, the relationship between PA and reading was specific to reading and did not generalize to another academic ability, math reasoning. Additional multiple regressions showed that letter knowledge (names or sounds) was superior in children whose mothers had undertaken post-secondary education, and that better receptive vocabulary was associated with less severe hearing loss, use of a cochlear implant, and earlier age at implant switch-on. Earlier fitting of hearing aids or cochlear implants was not, however, significantly associated with better PA or reading outcomes in this cohort of children, most of whom were fitted with sensory devices before 3 years of age. PMID:24563553
Preschool Predictors of School-Age Academic Achievement in Autism Spectrum Disorder
Miller, Lauren E.; Burke, Jeffrey D.; Troyb, Eva; Knoch, Kelley; Herlihy, Lauren E.; Fein, Deborah A.
2017-01-01
Objective Characterization of academic functioning in children with autism spectrum disorder (ASD), particularly predictors of achievement, may have important implications for intervention. The current study aimed to characterize achievement profiles, confirm associations between academic ability and concurrent intellectual and social skills, and explore preschool predictors of school-age academic achievement in a sample of children with ASD. Method Children with ASD (N = 26) were evaluated at the approximate ages of two, four, and ten years. Multiple regression was used to predict school-age academic achievement in reading and mathematics from both concurrent (i.e., school-age) and preschool variables. Results Children with ASD demonstrated a weakness in reading comprehension relative to word reading. There was a smaller difference between mathematics skills; math reasoning was lower than numerical operations, but this did not quite reach trend level significance. Concurrent IQ and social skills were associated with school-age academic achievement across domains. Preschool verbal abilities significantly predicted school-age reading comprehension, above and beyond concurrent IQ, and early motor functioning predicted later math skills. Conclusions Specific developmental features of early ASD predict specific aspects of school-age achievement. Early intervention targeting language and motor skills may improve later achievement in this population. PMID:27705180
Preschool predictors of school-age academic achievement in autism spectrum disorder.
Miller, Lauren E; Burke, Jeffrey D; Troyb, Eva; Knoch, Kelley; Herlihy, Lauren E; Fein, Deborah A
2017-02-01
Characterization of academic functioning in children with autism spectrum disorder (ASD), particularly predictors of achievement, may have important implications for intervention. The current study aimed to characterize achievement profiles, confirm associations between academic ability and concurrent intellectual and social skills, and explore preschool predictors of school-age academic achievement in a sample of children with ASD. Children with ASD (n = 26) were evaluated at the approximate ages of two, four, and ten. Multiple regression was used to predict school-age academic achievement in reading and mathematics from both concurrent (i.e. school-age) and preschool variables. Children with ASD demonstrated a weakness in reading comprehension relative to word reading. There was a smaller difference between mathematics skills; math reasoning was lower than numerical operations, but this did not quite reach trend level significance. Concurrent IQ and social skills were associated with school-age academic achievement across domains. Preschool verbal abilities significantly predicted school-age reading comprehension, above and beyond concurrent IQ, and early motor functioning predicted later math skills. Specific developmental features of early ASD predict specific aspects of school-age achievement. Early intervention targeting language and motor skills may improve later achievement in this population.
ERIC Educational Resources Information Center
Waugh, Sue
Workplace literacy and basic skills may be defined as skills needed by employees at work: reading, writing, math, and problem solving. Workplace literacy and skill requirements are based on the needs of each workplace and its workers. These skills are important because the work force needs to be highly skilled and adaptable to compete in a global…
ERIC Educational Resources Information Center
Berkowitz, Peter
2007-01-01
Higher education in America faces such formidable problems as unaffordable tuition, lack of accountability, students ill-prepared for college, declining enrollment in math and science, and too few graduates fluent in critical foreign languages. This Opportunity 08 position paper recommends that the next President should take the following steps to…
ERIC Educational Resources Information Center
Poncy, Brian C.; McCallum, Elizabeth; Schmitt, Ara J.
2010-01-01
Although basic math skill deficits are commonly encountered across elementary and secondary school students, few empirically validated, group-administered interventions are available for educators attempting to prevent or remedy such problems. This study compared the effectiveness of two theoretically distinct interventions for improving the…
Abry, Tashia; Granger, Kristen L; Bryce, Crystal I; Taylor, Michelle; Swanson, Jodi; Bradley, Robert H
2018-05-24
Using data from the National Institute of Child Health and Human Development Study of Early Child Care and Youth Development and a model-building approach, the authors examined direct and indirect associations between first-grade (G1) classroom-level adversity (CLA), G1 teaching practices, and student (N = 1,073; M = 6.64 years; 49% girls; 82% White) academic skills and executive functioning in G1 and third grades (G3). Teachers reported the prevalence of adversity among their students (e.g., poor home/family life, poor academic/social readiness). Observers rated G1 teaching practices: teachers' classroom management, controlling instruction, and amount of academic instruction (classroom observation system). Children completed literacy and math assessments at 54 months, G1, and G3 (Woodcock Johnson Letter-Word Identification and Applied Problems), and executive functioning at G1 and G3 (Tower of Hanoi). Direct associations emerged between CLA and controlling instruction (positive), classroom management, and academic instruction (both negative). In addition, CLA was related to G1 literacy (but not math) directly and indirectly via classroom management (negatively) and controlling instruction (positively). The addition of G3 outcomes revealed a negative direct longitudinal association between CLA and G3 executive functioning, and indirect associations with G3 literacy and math through G1 teaching practices and literacy. Results support the notion that collective student characteristics influence student outcomes in part through teaching practices and suggest that teachers and students may benefit from the diffusion of high-adversity classroom compositions when possible. Moreover, in high-adversity classrooms teachers and students may benefit from supports targeting classroom management and foundational student competencies. (PsycINFO Database Record (c) 2018 APA, all rights reserved).
ERIC Educational Resources Information Center
Velasco, Kelly; Zizak, Amanda
This report describes a program for improving word analysis skills in order to increase sight reading, reading accuracy, and fluency. The targeted population consisted of second and third graders in a suburban area close to a large metropolitan city in a Midwestern state. The problems of low word analysis skills were documented through Qualitative…
Wu, Sarah S; Chen, Lang; Battista, Christian; Smith Watts, Ashley K; Willcutt, Erik G; Menon, Vinod
2017-09-01
Individual differences in children's math performance have been associated with math anxiety, attention problems, working memory (WM), and reading skills, but the mechanisms by which these factors jointly contribute to children's math achievement are unknown. Here, we use structural equation modeling to characterize the relation between these factors and their influence on non-verbal Numerical Operations (NO) and verbal Math Reasoning (MR) in 330 children (M=8.34years). Our findings indicate that WM plays a central role in both non-verbal NO and verbal MR, whereas math anxiety and reading comprehension have unique and more pronounced influences on MR, compared to NO. Our study elucidates how affective and cognitive factors distinctly influence non-verbal and verbal mathematical problem solving. Copyright © 2017 Elsevier B.V. All rights reserved.
ERIC Educational Resources Information Center
Jansen, Brenda R. J.; De Lange, Eva; Van der Molen, Mariet J.
2013-01-01
Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this delay. We aimed to improve math skills in an…
Powell, Sarah R; Fuchs, Lynn S
2010-05-01
Elementary school students often misinterpret the equal sign (=) as an operational rather than a relational symbol. Such misunderstanding is problematic because solving equations with missing numbers may be important for higher-order mathematics skills including word problems. Research indicates equal-sign instruction can alter how typically-developing students use the equal sign, but no study has examined effects for students with mathematics difficulty (MD) or how equal-sign instruction contributes to word-problem skill for students with or without MD. The present study assessed the efficacy of equal-sign instruction within word-problem tutoring. Third-grade students with MD (n = 80) were assigned to word-problem tutoring, word-problem tutoring plus equal-sign instruction (combined) tutoring, or no-tutoring control. Combined tutoring produced better improvement on equal sign tasks and open equations compared to the other 2 conditions. On certain forms of word problems, combined tutoring but not word-problem tutoring alone produced better improvement than control. When compared at posttest to 3(rd)-grade students without MD on equal sign tasks and open equations, only combined tutoring students with MD performed comparably.
Mathematics anxiety in children with developmental dyscalculia
2010-01-01
Background Math anxiety, defined as a negative affective response to mathematics, is known to have deleterious effects on math performance in the general population. However, the assumption that math anxiety is directly related to math performance, has not yet been validated. Thus, our primary objective was to investigate the effects of math anxiety on numerical processing in children with specific deficits in the acquisition of math skills (Developmental Dyscalculia; DD) by using a novel affective priming task as an indirect measure. Methods Participants (12 children with DD and 11 typically-developing peers) completed a novel priming task in which an arithmetic equation was preceded by one of four types of priming words (positive, neutral, negative or related to mathematics). Children were required to indicate whether the equation (simple math facts based on addition, subtraction, multiplication or division) was true or false. Typically, people respond to target stimuli more quickly after presentation of an affectively-related prime than after one that is unrelated affectively. Result Participants with DD responded faster to targets that were preceded by both negative primes and math-related primes. A reversed pattern was present in the control group. Conclusion These results reveal a direct link between emotions, arithmetic and low achievement in math. It is also suggested that arithmetic-affective priming might be used as an indirect measure of math anxiety. PMID:20633269
Mental Aerobics: Exercises for the Mind in Later Life.
ERIC Educational Resources Information Center
Paggi, Kay; Hayslip, Bert, Jr.
1999-01-01
Reports observations of the use of mental aerobics with 48 adults whose median age was 70. Provides examples of the group puzzles and logic, math, and word problems used to enhance cognitive functioning and creative thinking. (SK)
Libertus, Melissa E.; Odic, Darko; Feigenson, Lisa; Halberda, Justin
2016-01-01
Children can represent number in at least two ways: by using their non-verbal, intuitive Approximate Number System (ANS), and by using words and symbols to count and represent numbers exactly. Further, by the time they are five years old, children can map between the ANS and number words, as evidenced by their ability to verbally estimate numbers of items without counting. How does the quality of the mapping between approximate and exact numbers relate to children’s math abilities? The role of the ANS-number word mapping in math competence remains controversial for at least two reasons. First, previous work has not examined the relation between verbal estimation and distinct subtypes of math abilities. Second, previous work has not addressed how distinct components of verbal estimation – mapping accuracy and variability – might each relate to math performance. Here, we address these gaps by measuring individual differences in ANS precision, verbal number estimation, and formal and informal math abilities in 5- to 7-year-old children. We found that verbal estimation variability, but not estimation accuracy, predicted formal math abilities even when controlling for age, expressive vocabulary, and ANS precision, and that it mediated the link between ANS precision and overall math ability. These findings suggest that variability in the ANS-number word mapping may be especially important for formal math abilities. PMID:27348475
Libertus, Melissa E; Odic, Darko; Feigenson, Lisa; Halberda, Justin
2016-10-01
Children can represent number in at least two ways: by using their non-verbal, intuitive approximate number system (ANS) and by using words and symbols to count and represent numbers exactly. Furthermore, by the time they are 5years old, children can map between the ANS and number words, as evidenced by their ability to verbally estimate numbers of items without counting. How does the quality of the mapping between approximate and exact numbers relate to children's math abilities? The role of the ANS-number word mapping in math competence remains controversial for at least two reasons. First, previous work has not examined the relation between verbal estimation and distinct subtypes of math abilities. Second, previous work has not addressed how distinct components of verbal estimation-mapping accuracy and variability-might each relate to math performance. Here, we addressed these gaps by measuring individual differences in ANS precision, verbal number estimation, and formal and informal math abilities in 5- to 7-year-old children. We found that verbal estimation variability, but not estimation accuracy, predicted formal math abilities, even when controlling for age, expressive vocabulary, and ANS precision, and that it mediated the link between ANS precision and overall math ability. These findings suggest that variability in the ANS-number word mapping may be especially important for formal math abilities. Copyright © 2016 Elsevier Inc. All rights reserved.
Avoiding math on a rapid timescale: Emotional responsivity and anxious attention in math anxiety.
Pizzie, Rachel G; Kraemer, David J M
2017-11-01
Math anxiety (MA) is characterized by negative feelings towards mathematics, resulting in avoidance of math classes and of careers that rely on mathematical skills. Focused on a long timescale, this research may miss important cognitive and affective processes that operate moment-to-moment, changing rapid reactions even when a student simply sees a math problem. Here, using fMRI with an attentional deployment paradigm, we show that MA influences rapid spontaneous emotional and attentional responses to mathematical stimuli upon brief presentation. Critically, participants viewed but did not attempt to solve the problems. Indicating increased threat reactivity to even brief presentations of math problems, increased MA was associated with increased amygdala response during math viewing trials. Functionally and anatomically defined amygdala ROIs yielded similar results, indicating robustness of the finding. Similar to the pattern of vigilance and avoidance observed in specific phobia, behavioral results of the attentional paradigm demonstrated that MA is associated with attentional disengagement for mathematical symbols. This attentional avoidance is specific to math stimuli; when viewing negatively-valenced images, MA is correlated with attentional engagement, similar to other forms of anxiety. These results indicate that even brief exposure to mathematics triggers a neural response related to threat avoidance in highly MA individuals. Copyright © 2017 Elsevier Inc. All rights reserved.
Preschool Children's Interest, Social-Emotional Skills, and Emergent Mathematics Skills
ERIC Educational Resources Information Center
Doctoroff, Greta L.; Fisher, Paige H.; Burrows, Bethany M.; Edman, Maria Tsepilovan
2016-01-01
This cross-sectional study examined the relationship between interest, social-emotional skills, and early math skills in preschool children. Math-specific interest and global interest in learning were measured using teacher report and a play-based observation task. Math skills were assessed with a test of math achievement, and social-emotional…
The effects of anxious responding on mental arithmetic and lexical decision task performance.
Hopko, Derek R; McNeil, Daniel W; Lejuez, C W; Ashcraft, Mark H; Eifert, Georg H; Riel, Jim
2003-01-01
Anxiety-related responding and skill deficits historically are associated with performance-based problems such as mathematics anxiety, yet the relative contribution of these variables to substandard performance remains poorly understood. Utilizing a 7% carbon dioxide (CO2) gas to induce anxiety, the present study examined the impact of anxious responding on two performance tasks, mental arithmetic and lexical decision. Independent variables included math anxiety group, gender, and gas condition. Dependent variables included task performance and physiological and self-report indices of anxiety. A total of 64 university undergraduate students participated. Physiological and verbal-report measures of anxiety supported the utility of 7% carbon dioxide-enriched air as an anxiety-inducing stimulus. Behavioral disruption on performance tasks, however, did not differ as a function of carbon dioxide inhalation. Performance did differ as a function of math anxiety. High math anxious individuals generally exhibited higher error rates on mathematical tasks, particularly on tasks designed to measure advanced math skill and those requiring working memory resources. These findings are discussed with reference to processing efficiency theory, discordance among anxiety response systems, and the intricacies associated with skill measurement.
A Design To Improve Children's Competencies in Solving Mathematical Word Problems.
ERIC Educational Resources Information Center
Zimmerman, Helene
A discrepancy exists between children's ability to compute and their ability to solve mathematical word problems. The literature suggests a variety of methods that have been attempted to improve this skill with varying success. The utilization of manipulatives, visualization, illustration, and emphasis on improving listening skills all were…
ERIC Educational Resources Information Center
Kelly, Ronald R.
2003-01-01
Presents "Project Solve," a web-based problem-solving instruction and guided practice for mathematical word problems. Discusses implications for college students for whom reading and comprehension of mathematical word problem solving are difficult, especially learning disabled students. (Author/KHR)
ERIC Educational Resources Information Center
Wang, Amber Y.; Fuchs, Lynn S.; Fuchs, Douglas
2016-01-01
The purpose of this study was to identify cognitive and linguistic predictors of word problems with versus without irrelevant information. The sample was 701 2nd-grade students who received no specialized intervention on word problems. In the fall, they were assessed on initial arithmetic and word-problem skill as well as language ability, working…
ERIC Educational Resources Information Center
Jackson, Deborah C.; Johnson, Elizabeth D.
2013-01-01
The problem of students entering university lacking basic mathematical skills is a critical issue in the Australian higher-education sector and relevant globally. The Maths Skills programme at La Trobe University has been developed to address under preparation in the first-year science cohort in the absence of an institutional mathematics support…
Powell, Sarah R.; Fuchs, Lynn S.
2010-01-01
Elementary school students often misinterpret the equal sign (=) as an operational rather than a relational symbol. Such misunderstanding is problematic because solving equations with missing numbers may be important for higher-order mathematics skills including word problems. Research indicates equal-sign instruction can alter how typically-developing students use the equal sign, but no study has examined effects for students with mathematics difficulty (MD) or how equal-sign instruction contributes to word-problem skill for students with or without MD. The present study assessed the efficacy of equal-sign instruction within word-problem tutoring. Third-grade students with MD (n = 80) were assigned to word-problem tutoring, word-problem tutoring plus equal-sign instruction (combined) tutoring, or no-tutoring control. Combined tutoring produced better improvement on equal sign tasks and open equations compared to the other 2 conditions. On certain forms of word problems, combined tutoring but not word-problem tutoring alone produced better improvement than control. When compared at posttest to 3rd-grade students without MD on equal sign tasks and open equations, only combined tutoring students with MD performed comparably. PMID:20640240
Skinning the Pythagorean Cat: A Study of Strategy Preferences of Secondary Math Teachers
ERIC Educational Resources Information Center
Maxcy, Clara A.
2012-01-01
A series of observations in math classrooms revealed a pervasive problem of "re-teaching". It matters little the subject; before the teacher can begin teaching new material, basic skills often have to be re-taught before the lesson can move forward. Perhaps some methods are more effective than others in the classroom. Consequently, this study…
ERIC Educational Resources Information Center
Waters, Hugh E.; Boon, Richard T.
2011-01-01
This study investigated the effects of the TouchMath[C] program (Bullock, Pierce,&McClellan, 1989) to teach students with mild intellectual disabilities to subtract 3-digit money computational problems with regrouping. Three students with mild intellectual disabilities in high school received instruction in a special education mathematics…
ERIC Educational Resources Information Center
Quinn, Bill; Foshay, Rob; Morris, Barbara
The "PLATO[R] Math Expeditions" and "PLATO[R] Projects for the Real World" curricula are designed to implement effective, research-based instructional practices. "Math Expeditions" is designed to give elementary grade users the mathematics skills and practice needed to solve real-life problems. Across the eight…
Blueprint for Success: An Energy Education Unit Management Plan.
ERIC Educational Resources Information Center
National Energy Education Development Project, Reston, VA.
This energy education unit contains activities and classroom management strategies that emphasize cooperative learning and peer teaching. The activities are designed to develop students' science, math, language arts, and social studies skills and knowledge. Students' critical thinking, leadership, and problem solving skills will be enhanced as…
Hydroponic Garden Promotes Hands-on Learning, Healthy Eating
ERIC Educational Resources Information Center
Anderson, Melinda; Swafford, Melinda
2011-01-01
The Carl D. Perkins Career Technical Improvement Act of 2006 encourages integration of academic instruction to improve student learning, impact employment skills of students, and enhance problem-solving skills by using authentic real-world situations. Academic integration is accomplished by integrating concepts of English, math, science,…
Math 3011--College Algebra and Trigonometry. Course Outline.
ERIC Educational Resources Information Center
New York Inst. of Tech., Old Westbury.
This document contains the course syllabus and 12 independent practice modules for a college level mathematics course designed to provide the necessary foundation for success in calculus, develop logical thinking skills, and enhance analytic skills through problem solving. Topics include relations and functions; inequalities; complex numbers;…
Teacher Judgment of Student Mastery of Math Skills.
ERIC Educational Resources Information Center
Bentz, Johnell L.; Fuchs, Lynn S.
1993-01-01
Information on students' math skill mastery based on curriculum-based measurement was provided to nine special and general education elementary teachers. Teachers were asked to identify the specific math skills their students had mastered. Results indicated that most teachers were not accurate at judging math skill mastery despite having specific…
Microcomputers and Preschoolers.
ERIC Educational Resources Information Center
Evans, Dina
Preschool children can benefit by working with microcomputers. Thinking skills are enhanced by software games that focus on logic, memory, problem solving, and pattern recognition. Counting, sequencing, and matching games develop mathematics skills, and word games focusing on basic letter symbol and word recognition develop language skills.…
What Mathematical Competencies Are Needed for Success in College.
ERIC Educational Resources Information Center
Garofalo, Joe
1990-01-01
Identifies requisite math skills for a microeconomics course, offering samples of supply curves, demand curves, equilibrium prices, elasticity, and complex graph problems. Recommends developmental mathematics competencies, including problem solving, reasoning, connections, communication, number and operation sense, algebra, relationships,…
Procedural versus Content-Related Hints for Word Problem Solving: An Exploratory Study
ERIC Educational Resources Information Center
Kock, W. D.; Harskamp, E. G.
2016-01-01
For primary school students, mathematical word problems are often more difficult to solve than straightforward number problems. Word problems require reading and analysis skills, and in order to explain their situational contexts, the proper mathematical knowledge and number operations have to be selected. To improve students' ability in solving…
Glogs as Non-Routine Problem Solving Tools in Mathematics
ERIC Educational Resources Information Center
Devine, Matthew T.
2013-01-01
In mathematical problem solving, American students are falling behind their global peers because of a lack of foundational and reasoning skills. A specific area of difficulty with problem solving is working non-routine, heuristic-based problems. Many students are not provided with effective instruction and often grow frustrated and dislike math.…
ERIC Educational Resources Information Center
Björn, Piia Maria; Aunola, Kaisa; Nurmi, Jari-Erik
2016-01-01
This longitudinal study aimed to investigate the extent to which primary school text comprehension predicts mathematical word problem-solving skills in secondary school among Finnish students. The participants were 224 fourth graders (9-10 years old at the baseline). The children's text-reading fluency, text comprehension and basic calculation…
ERIC Educational Resources Information Center
Burns, Matthew K.; Codding, Robin S.; Boice, Christina H.; Lukito, G.
2010-01-01
Implementation of effective interventions relies on the use of assessment data to adequately describe the learning problem and offer potential solutions. The use of curriculum-based assessment and measurement when combined with the learning hierarchy could offer a paradigm for decision making based on a skill-by-treatment interaction.…
Raaijmakers, Steven F; Baars, Martine; Paas, Fred; van Merriënboer, Jeroen J G; van Gog, Tamara
2018-01-01
Students' ability to accurately self-assess their performance and select a suitable subsequent learning task in response is imperative for effective self-regulated learning. Video modeling examples have proven effective for training self-assessment and task-selection skills, and-importantly-such training fostered self-regulated learning outcomes. It is unclear, however, whether trained skills would transfer across domains. We investigated whether skills acquired from training with either a specific, algorithmic task-selection rule or a more general heuristic task-selection rule in biology would transfer to self-regulated learning in math. A manipulation check performed after the training confirmed that both algorithmic and heuristic training improved task-selection skills on the biology problems compared with the control condition. However, we found no evidence that students subsequently applied the acquired skills during self-regulated learning in math. Future research should investigate how to support transfer of task-selection skills across domains.
Baars, Martine; Paas, Fred; van Merriënboer, Jeroen J. G.; van Gog, Tamara
2018-01-01
Summary Students' ability to accurately self‐assess their performance and select a suitable subsequent learning task in response is imperative for effective self‐regulated learning. Video modeling examples have proven effective for training self‐assessment and task‐selection skills, and—importantly—such training fostered self‐regulated learning outcomes. It is unclear, however, whether trained skills would transfer across domains. We investigated whether skills acquired from training with either a specific, algorithmic task‐selection rule or a more general heuristic task‐selection rule in biology would transfer to self‐regulated learning in math. A manipulation check performed after the training confirmed that both algorithmic and heuristic training improved task‐selection skills on the biology problems compared with the control condition. However, we found no evidence that students subsequently applied the acquired skills during self‐regulated learning in math. Future research should investigate how to support transfer of task‐selection skills across domains. PMID:29610547
Swanson, H Lee; Lussier, Catherine M; Orosco, Michael J
2015-01-01
This study investigated the role of strategy instruction and working memory capacity (WMC) on word problem solving accuracy in children with (n = 100) and without (n = 92) math difficulties (MD). Within classrooms, children in Grades 2 and 3 were randomly assigned to one of four treatment conditions: verbal-only strategies (e.g., underlining question sentence), verbal + visual strategies, visual-only strategies (e.g., correctly placing numbers in diagrams), or untreated control. Strategy interventions included 20 sessions in both Year 1 and Year 2. The intent-to-treat as well as the "as-treated" analyses showed that treatment effects were significantly moderated by WMC. In general, treatment outcomes were higher when WMC was set to a high rather than low level. When set to a relatively high WMC level, children with MD performed significantly better under visual-only strategy conditions and children without MD performed better under verbal + visual conditions when compared to control conditions. © Hammill Institute on Disabilities 2013.
Hart, Sara A; Ganley, Colleen M; Purpura, David J
2016-01-01
There is a growing literature concerning the role of the home math environment in children's math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children's math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children's skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills.
Ganley, Colleen M.; Purpura, David J.
2016-01-01
There is a growing literature concerning the role of the home math environment in children’s math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children’s math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children’s skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills. PMID:28005925
ERIC Educational Resources Information Center
Harvard Univ., Cambridge, MA. Graduate School of Education.
This unit is intended to teach estimation skills in such a way as to be relevant and useful to students as they apply them in various problem-solving activities. The teaching activities feature the earth, exploration into space, and the other worlds in the solar system. The teacher's guide contains four modules. Module I suggests the use of…
Maths Work: Maths in the Textile, Clothing, Footwear & Allied Industries.
ERIC Educational Resources Information Center
Wallace, Midge
This book is designed to help individuals be aware of how much mathematics is used at work. It is designed to help trainers decide what to do if workers need help to improve their mathematics skills. An introduction looks at mathematics as it is used at work by discussing how it is used on the job. The book discusses the problems for workers with…
Teaching Fifth Grade Mathematical Concepts: Effects of Word Problems Used with Traditional Methods.
ERIC Educational Resources Information Center
Coy, Jessica
The view of the researcher is that students in the upper elementary to middle school range need to increase their problem-solving skills by making logical deductions and organizing and structuring their thoughts through the use of word problems. Giving children a daily word problem challenged and introduced them to the lesson. This activity…
Process Inquiry: Analysis of Oral Problem-Solving Skills in Mathematics of Engineering Students
ERIC Educational Resources Information Center
Trance, Naci John C.
2013-01-01
This paper presents another effort in determining the difficulty of engineering students in terms of solving word problems. Students were presented with word problems in algebra. Then, they were asked to solve the word problems orally; that is, before they presented their written solutions, they were required to explain how they understood the…
Lachance, Jennifer A.; Mazzocco, Michèle M.M.
2009-01-01
We report on a longitudinal study designed to assess possible sex differences in math achievement, math ability, and math-related tasks during the primary school age years. Participants included over 200 children from one public school district. Annual assessments included measures of math ability, math calculation achievement scores, rapid naming and decoding tasks, visual perception tests, visual motor tasks, and reading skills. During select years of the study we also administered tests of counting and math facts skills. We examined whether girls or boys were overrepresented among the bottom or top performers on any of these tasks, relative to their peers, and whether growth rates or predictors of math-related skills differed for boys and girls. Our findings support the notion that sex differences in math are minimal or nonexistent on standardized psychometric tests routinely given in assessments of primary school age children. There was no persistent finding suggesting a male or female advantage in math performance overall, during any single year of the study, or in any one area of math or spatial skills. Growth rates for all skills, and early correlates of later math performance, were comparable for boys and girls. The findings fail to support either persistent or emerging sex differences on non-specialized math ability measures during the primary school age years. PMID:20463851
ERIC Educational Resources Information Center
Lawrence, Virginia
No longer just a user of commercial software, the 21st century teacher is a designer of interactive software based on theories of learning. This software, a comprehensive study of straightline equations, enhances conceptual understanding, sketching, graphic interpretive and word problem solving skills as well as making connections to real-life and…
ERIC Educational Resources Information Center
Bjork, Isabel Maria; Bowyer-Crane, Claudine
2013-01-01
This study investigates the relationship between skills that underpin mathematical word problems and those that underpin numerical operations, such as addition, subtraction, division and multiplication. Sixty children aged 6-7 years were tested on measures of mathematical ability, reading accuracy, reading comprehension, verbal intelligence and…
ERIC Educational Resources Information Center
Carpenter, Thomas P.; Kirk, Roger E.
2017-01-01
Statistics is an important subject in psychology and social science education. However, inadequate mathematical skills can pose a barrier to learning statistics. Some educators have suggested that students' math skills are declining. The present research examined trends in the math skills of psychology undergraduates across 21 years. Students…
ERIC Educational Resources Information Center
Yang, Euphony F. Y.; Chang, Ben; Cheng, Hercy N. H.; Chan, Tak-Wai
2016-01-01
This study examined how to foster pupils' mathematical communication abilities by using tablet PCs. Students were encouraged to generate math creations (including mathematical representation, solution, and solution explanation of word problems) as their teaching materials and reciprocally tutor classmates to increase opportunities for mathematical…
Brain Stretchers Book 4--Advanced.
ERIC Educational Resources Information Center
Anderson, Carolyn
This book provides puzzles, games, and mathematical activities for students in elementary grades. Number concepts and arithmetic are common topics. These classic math, logic, and word-problem activities encourage students to become flexible, creative thinkers while teaching them to draw valid conclusions based on logic and evidence. Each activity…
Duality of Mathematical Thinking When Making Sense of Simple Word Problems: Theoretical Essay
ERIC Educational Resources Information Center
Polotskaia, Elena; Savard, Annie; Freiman, Viktor
2015-01-01
This essay proposes a reflection on the learning difficulties and teaching approaches associated with arithmetic word problem solving. We question the development of word problem solving skills in the early grades of elementary school. We are trying to revive the discussion because first, the knowledge in question--reversibility of arithmetic…
Tolar, Tammy D.; Fuchs, Lynn; Fletcher, Jack M.; Fuchs, Douglas; Hamlett, Carol L.
2014-01-01
Three cohorts of third-grade students (N = 813) were evaluated on achievement, cognitive abilities, and behavioral attention according to contrasting research traditions in defining math learning disability (LD) status: low achievement versus extremely low achievement and IQ-achievement discrepant versus strictly low-achieving LD. We use methods from these two traditions to form math problem solving LD groups. To evaluate group differences, we used MANOVA-based profile and canonical analyses to control for relations among the outcomes and regression to control for group definition variables. Results suggest that basic arithmetic is the key distinguishing characteristic that separates low-achieving problem solvers (including LD, regardless of definition) from typically achieving students. Word problem solving is the key distinguishing characteristic that separates IQ-achievement-discrepant from strictly low-achieving LD students, favoring the IQ-achievement-discrepant students. PMID:24939971
Building Ramps and Hovercrafts and Improving Math Skills.
ERIC Educational Resources Information Center
Bottge, Brian A.
2001-01-01
This article describes a video- and computer-based program used to motivate and develop mathematics skills in middle school students with disabilities. The program emphasizes real-life problems such as building a cage for a pet, a skate boarding ramp, and a "hovercraft" frame. Case studies illustrate the program's effectiveness with individual…
ERIC Educational Resources Information Center
Wilson, Jason; Lawman, Joshua; Murphy, Rachael; Nelson, Marissa
2011-01-01
This article describes a probability project used in an upper division, one-semester probability course with third-semester calculus and linear algebra prerequisites. The student learning outcome focused on developing the skills necessary for approaching project-sized math/stat application problems. These skills include appropriately defining…
Strategies for Communications, Math with Technology.
ERIC Educational Resources Information Center
Wyoming Univ., Laramie. Dept. of Vocational Education.
This manual was designed for an inservice workshop with business educators on strategies for math communication. The focus is on basic writing and math skills. Technology is incorporated in the curriculum. The manual is divided into six sections; four sections deal with communications skills and two sections with math skills. Each section includes…
ERIC Educational Resources Information Center
Mattera, Shira; Morris, Pamela
2017-01-01
Early math ability is one of the best predictors of children's math and reading skills into late elementary school. Children with stronger math proficiency in elementary school, in turn, are more likely to graduate from high school and attend college. However, early math skills have not historically been a major focus of instruction in preschool…
ERIC Educational Resources Information Center
Calisto, George W.
2013-01-01
This study sought to integrate Dweck and Leggett's (1988) self-theories of intelligence model (i.e., the view that intelligence is either fixed and unalterable or changeable through hard work and effort) with Elliot and Dweck's (1988) achievement goal theory, which explains why some people are oriented towards learning and others toward…
Supekar, Kaustubh; Swigart, Anna G.; Tenison, Caitlin; Jolles, Dietsje D.; Rosenberg-Lee, Miriam; Fuchs, Lynn; Menon, Vinod
2013-01-01
Now, more than ever, the ability to acquire mathematical skills efficiently is critical for academic and professional success, yet little is known about the behavioral and neural mechanisms that drive some children to acquire these skills faster than others. Here we investigate the behavioral and neural predictors of individual differences in arithmetic skill acquisition in response to 8-wk of one-to-one math tutoring. Twenty-four children in grade 3 (ages 8–9 y), a critical period for acquisition of basic mathematical skills, underwent structural and resting-state functional MRI scans pretutoring. A significant shift in arithmetic problem-solving strategies from counting to fact retrieval was observed with tutoring. Notably, the speed and accuracy of arithmetic problem solving increased with tutoring, with some children improving significantly more than others. Next, we examined whether pretutoring behavioral and brain measures could predict individual differences in arithmetic performance improvements with tutoring. No behavioral measures, including intelligence quotient, working memory, or mathematical abilities, predicted performance improvements. In contrast, pretutoring hippocampal volume predicted performance improvements. Furthermore, pretutoring intrinsic functional connectivity of the hippocampus with dorsolateral and ventrolateral prefrontal cortices and the basal ganglia also predicted performance improvements. Our findings provide evidence that individual differences in morphometry and connectivity of brain regions associated with learning and memory, and not regions typically involved in arithmetic processing, are strong predictors of responsiveness to math tutoring in children. More generally, our study suggests that quantitative measures of brain structure and intrinsic brain organization can provide a more sensitive marker of skill acquisition than behavioral measures. PMID:23630286
Supekar, Kaustubh; Swigart, Anna G; Tenison, Caitlin; Jolles, Dietsje D; Rosenberg-Lee, Miriam; Fuchs, Lynn; Menon, Vinod
2013-05-14
Now, more than ever, the ability to acquire mathematical skills efficiently is critical for academic and professional success, yet little is known about the behavioral and neural mechanisms that drive some children to acquire these skills faster than others. Here we investigate the behavioral and neural predictors of individual differences in arithmetic skill acquisition in response to 8-wk of one-to-one math tutoring. Twenty-four children in grade 3 (ages 8-9 y), a critical period for acquisition of basic mathematical skills, underwent structural and resting-state functional MRI scans pretutoring. A significant shift in arithmetic problem-solving strategies from counting to fact retrieval was observed with tutoring. Notably, the speed and accuracy of arithmetic problem solving increased with tutoring, with some children improving significantly more than others. Next, we examined whether pretutoring behavioral and brain measures could predict individual differences in arithmetic performance improvements with tutoring. No behavioral measures, including intelligence quotient, working memory, or mathematical abilities, predicted performance improvements. In contrast, pretutoring hippocampal volume predicted performance improvements. Furthermore, pretutoring intrinsic functional connectivity of the hippocampus with dorsolateral and ventrolateral prefrontal cortices and the basal ganglia also predicted performance improvements. Our findings provide evidence that individual differences in morphometry and connectivity of brain regions associated with learning and memory, and not regions typically involved in arithmetic processing, are strong predictors of responsiveness to math tutoring in children. More generally, our study suggests that quantitative measures of brain structure and intrinsic brain organization can provide a more sensitive marker of skill acquisition than behavioral measures.
Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School
Daches Cohen, Lital; Rubinsten, Orly
2017-01-01
Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother’s math anxiety and maternal behaviors (environmental factors); (b) children’s arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children’s math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers’ attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children’s skills should be taken into consideration. Implications for researchers, parents, and educators are discussed. PMID:29180973
Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School.
Daches Cohen, Lital; Rubinsten, Orly
2017-01-01
Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother's math anxiety and maternal behaviors (environmental factors); (b) children's arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children's math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers' attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children's skills should be taken into consideration. Implications for researchers, parents, and educators are discussed.
Yeung, Pui-Sze; Ho, Connie Suk-Han; Chan, David Wai-Ock; Chung, Kevin Kien-Hoa
2014-05-01
To identify the indicators of persistent reading difficulties among Chinese readers in early elementary grades, the performance of three groups of Chinese children with different reading trajectories ('persistent poor word readers', 'improved poor word readers' and 'skilled word readers') in reading-related measures was analysed in a 3-year longitudinal study. The three groups were classified according to their performance in a standardized Chinese word reading test in Grade 1 and Grade 4. Results of analysis of variance and logistic regression on the reading-related measures revealed that rapid naming and syntactic skills were important indicators of early word reading difficulty. Syntactic skills and morphological awareness were possible markers of persistent reading problems. Chinese persistent poor readers did not differ significantly from skilled readers on the measures of phonological skills. Copyright © 2014 John Wiley & Sons, Ltd.
Reassessing word frequency as a determinant of word recognition for skilled and unskilled readers
Kuperman, Victor; Van Dyke, Julie A.
2013-01-01
The importance of vocabulary in reading comprehension emphasizes the need to accurately assess an individual’s familiarity with words. The present article highlights problems with using occurrence counts in corpora as an index of word familiarity, especially when studying individuals varying in reading experience. We demonstrate via computational simulations and norming studies that corpus-based word frequencies systematically overestimate strengths of word representations, especially in the low-frequency range and in smaller-size vocabularies. Experience-driven differences in word familiarity prove to be faithfully captured by the subjective frequency ratings collected from responders at different experience levels. When matched on those levels, this lexical measure explains more variance than corpus-based frequencies in eye-movement and lexical decision latencies to English words, attested in populations with varied reading experience and skill. Furthermore, the use of subjective frequencies removes the widely reported (corpus) frequency-by-skill interaction, showing that more skilled readers are equally faster in processing any word than the less skilled readers, not disproportionally faster in processing lower-frequency words. This finding challenges the view that the more skilled an individual is in generic mechanisms of word processing the less reliant he/she will be on the actual lexical characteristics of that word. PMID:23339352
Spatial Skills as a Predictor of First Grade Girls' Use of Higher Level Arithmetic Strategies
ERIC Educational Resources Information Center
Laski, Elida V.; Casey, Beth M.; Yu, Qingyi; Dulaney, Alana; Heyman, Miriam; Dearing, Eric
2013-01-01
Girls are more likely than boys to use counting strategies rather than higher-level mental strategies to solve arithmetic problems. Prior research suggests that dependence on counting strategies may have negative implications for girls' later math achievement. We investigated the relation between first-grade girls' verbal and spatial skills and…
Teaching Quantitative Management to Evening MBA Students.
ERIC Educational Resources Information Center
Libby, Barbara
1984-01-01
The author discusses the mathematics background of Masters of Business Administration (MBA) students and asks what math tools are necessary for an MBA. While she finds useful the ability to deal with linear and quadratic equations; interest, depreciation, and growth rates; and word problems, she concludes that calculus is of little use apart from…
ERIC Educational Resources Information Center
Ermeling, Bradley A.; Graff-Ermeling, Genevieve
2014-01-01
Watch one of the Japan videos from the Trends in International Mathematics and Science Study (TIMSS)--more specifically, mathematics video 3 on solving inequalities1--and you'll see that after giving his students a word problem to solve, the 8th grade math teacher strolls among the students' desks for almost 15 minutes, leaning over to see what…
Let's Talk Math: Encouraging Children To Explore Ideas.
ERIC Educational Resources Information Center
Lilburn, Pat; Rawson, Pam
This book presents mathematics activities to help children talk and write mathematically. Children are encouraged to talk about and share their ideas, to use everyday language to describe mathematical situations, and to restate problems in their own words. There are two sections in this book. Part 1 discusses the following issues and implications…
A Conceptual Metaphor Framework for the Teaching of Mathematics
ERIC Educational Resources Information Center
Danesi, Marcel
2007-01-01
Word problems in mathematics seem to constantly pose learning difficulties for all kinds of students. Recent work in math education (for example, [Lakoff, G. & Nunez, R. E. (2000). "Where mathematics comes from: How the embodied mind brings mathematics into being." New York: Basic Books]) suggests that the difficulties stem from an…
ERIC Educational Resources Information Center
Johnston, Peter R.; Watters, Dianne J.; Brown, Christopher L.; Loughlin, Wendy A.
2016-01-01
An online Maths Skills Site was developed as an integrated support programme for first year Chemistry students, the content of which, was based on an analysis of their high-school mathematical backgrounds. This study examined the students' perceptions of Maths, their patterns of usage of the Maths Skills Site and whether there was a relationship…
ERIC Educational Resources Information Center
Highsmith, Joni Bitman
Stickybear's Math Splash is a CD-ROM-based software tool for teaching mathematics skills beyond simple number recognition to elementary students. The accompanying printed lesson plans are designed to complement mathematics skills with other methods and areas of emphasis including kinesthetic learning, listening skills, decision making skills, and…
Estes, R E; Baum, D L; Bray, N M
1986-04-01
The purpose of this study was to investigate the performance of junior high school learning disabled students on standard and modified administrations of selected subtests from the Iowa Tests of Basic Skills. No significant differences were noted for correlations between types of administration and teachers' ratings on any of the subtest comparisons. Grade placements for Vocabulary and Reading Comprehension using the modified administration were significantly higher than those using the standard administration and more closely aligned with teachers' ratings. Math Concept and Math Problem-solving grade-placement scores did not differ by type of administration; teachers' ratings were higher than those produced by either testing format.
ERIC Educational Resources Information Center
García, Trinidad; Rodríguez, Celestino; González-Castro, Paloma; González-Pienda, Julio Antonio; Torrance, Mark
2016-01-01
Calibration, or the correspondence between perceived performance and actual performance, is linked to students' metacognitive and self-regulatory skills. Making students more aware of the quality of their performance is important in elementary school settings, and more so when math problems are involved. However, many students seem to be poorly…
Validation of Predictive Relationship of Creative Problem-Solving Attrubutes with Math Creativity
ERIC Educational Resources Information Center
Pham, Linh Hung
2014-01-01
This study was designed to investigate the predictive relationships of creative problem-solving attributes, which comprise divergent thinking, convergent thinking, motivation, general and domain knowledge and skills, and environment, with mathematical creativity of sixth grade students in Thai Nguyen City, Viet Nam. The study also aims to revise…
Solving Math Problems Approximately: A Developmental Perspective
Ganor-Stern, Dana
2016-01-01
Although solving arithmetic problems approximately is an important skill in everyday life, little is known about the development of this skill. Past research has shown that when children are asked to solve multi-digit multiplication problems approximately, they provide estimates that are often very far from the exact answer. This is unfortunate as computation estimation is needed in many circumstances in daily life. The present study examined 4th graders, 6th graders and adults’ ability to estimate the results of arithmetic problems relative to a reference number. A developmental pattern was observed in accuracy, speed and strategy use. With age there was a general increase in speed, and an increase in accuracy mainly for trials in which the reference number was close to the exact answer. The children tended to use the sense of magnitude strategy, which does not involve any calculation but relies mainly on an intuitive coarse sense of magnitude, while the adults used the approximated calculation strategy which involves rounding and multiplication procedures, and relies to a greater extent on calculation skills and working memory resources. Importantly, the children were less accurate than the adults, but were well above chance level. In all age groups performance was enhanced when the reference number was smaller (vs. larger) than the exact answer and when it was far (vs. close) from it, suggesting the involvement of an approximate number system. The results suggest the existence of an intuitive sense of magnitude for the results of arithmetic problems that might help children and even adults with difficulties in math. The present findings are discussed in the context of past research reporting poor estimation skills among children, and the conditions that might allow using children estimation skills in an effective manner. PMID:27171224
Nurses' maths: researching a practical approach.
Wilson, Ann
To compare a new practical maths test with a written maths test. The tests were undertaken by qualified nurses training for intravenous drug administration, a skill dependent on maths accuracy. The literature showed that the higher education institutes (HEIs) that provide nurse training use traditional maths tests, a practical way of testing maths had not been described. Fifty five nurses undertook two maths tests based on intravenous drug calculations. One was a traditional written test. The second was a new type of test using a simulated clinical environment. All participants were also interviewed one week later to ascertain their thoughts and feelings about the tests. There was a significant improvement in maths test scores for those nurses who took the practical maths test first. It is suggested that this is because it improved their conceptualisation skills and thus helped them to achieve accuracy in their calculations. Written maths tests are not the best way to help and support nurses in acquiring and improving their maths skills and should be replaced by a more practical approach.
ERIC Educational Resources Information Center
Whitney, Todd; Hirn, Regina G.; Lingo, Amy S.
2016-01-01
In the present study, we examined the effects of a fluency-building mathematics program called Great Leaps Math on fluency of basic addition mathematics facts zero to nine and word problem solving using a multiple probe design across participants. Three elementary students with challenging behaviors and mathematics difficulty participated in the…
ERIC Educational Resources Information Center
Linder, Sandra M.
2012-01-01
Teachers are using technological innovations--including interactive whiteboards--in pre-K-grade 3 classrooms across the country. An IWB is a wall-mounted, touch-sensitive flat screen. When connected to a computer (or another electronic device) and a projector, it displays enlarged instructional content (such as a math word problem, pictures or…
ERIC Educational Resources Information Center
Goins, L. Keith, Ed.
This proceedings includes the following papers: "Dealing with Discipline Problems in Schools" (Allen); "Developing Global Awareness" (Arnold); "Desktop Publishing Using WordPerfect 6.0 for Windows" (Broughton); "Learn and Earn" (Cauley); "Using the Computer to Teach Merchandising Math"…
ERIC Educational Resources Information Center
Mattera, Shira K.; Jacob, Robin; Morris, Pamela A.
2018-01-01
Early math skills are a strong predictor of later achievement for young children, not only in math, but in other domains as well. Exhibiting strong math skills in elementary school is predictive of later high school completion and college attendance. To that end, the Making Pre-K Count and High 5s studies set out to rigorously assess whether…
ERIC Educational Resources Information Center
Ng, Florrie Fei-Yin; Tamis-LeMonda, Catherine; Yoshikawa, Hirokazu; Sze, Irene Nga-Lam
2015-01-01
Preschoolers' inhibitory control and early math skills were concurrently and longitudinally examined in 255 Chinese, African American, Dominican, and Mexican 4-year-olds in the United States. Inhibitory control at age 4, assessed with a peg-tapping task, was associated with early math skills at age 4 and predicted growth in such skills from age 4…
Solving Word Problems using Schemas: A Review of the Literature
Powell, Sarah R.
2011-01-01
Solving word problems is a difficult task for students at-risk for or with learning disabilities (LD). One instructional approach that has emerged as a valid method for helping students at-risk for or with LD to become more proficient at word-problem solving is using schemas. A schema is a framework for solving a problem. With a schema, students are taught to recognize problems as falling within word-problem types and to apply a problem solution method that matches that problem type. This review highlights two schema approaches for 2nd- and 3rd-grade students at-risk for or with LD: schema-based instruction and schema-broadening instruction. A total of 12 schema studies were reviewed and synthesized. Both types of schema approaches enhanced the word-problem skill of students at-risk for or with LD. Based on the review, suggestions are provided for incorporating word-problem instruction using schemas. PMID:21643477
Individual Differences Related to College Students' Course Performance in Calculus II
ERIC Educational Resources Information Center
Hart, Sara A.; Daucourt, Mia; Ganley, Colleen M.
2017-01-01
In this study, we explore student achievement in a semester-long flipped Calculus II course, combining various predictor measures related to student attitudes (math anxiety, math confidence, math interest, math importance) and cognitive skills (spatial skills, approximate number system), as well as student engagement with the online system…
Practical Math Skills: Situations--Strategies--Solutions. Intermediate Level. Grades 4-5-6.
ERIC Educational Resources Information Center
Duncan, Jim
This material is a supplement to existing mathematics programs for young learners. The activities presented are based on assumptions about the young problem solver which are difficult to address in standard mathematics texts. In these pages it is assumed that each learner brings to the problem-solving effort a very personal experience base and a…
Self-Explaining Steps in Problem-Solving Tasks to Improve Self-Regulation in Secondary Education
ERIC Educational Resources Information Center
Baars, Martine; Leopold, Claudia; Paas, Fred
2018-01-01
The ability to learn in a self-regulated way is important for adolescents' academic achievements. Monitoring one's own learning is a prerequisite skill for successful self-regulated learning. However, accurate monitoring has been found to be difficult for adolescents, especially for learning problem-solving tasks such as can be found in math and…
National Migrant Education Program Math Skills Information System.
ERIC Educational Resources Information Center
de la Rosa, Raul; Hackett, Eugene deG.
The educational background and issues which shaped the design of the National Migrant Education Program Math Skills Information System are explained in this report, along with a full description of the features of the system and its operation. It discusses the variety of math skills information used to permit teachers to input and receive math…
Effectiveness of a Class-Wide Peer-Mediated Elementary Math Differentiation Strategy
ERIC Educational Resources Information Center
Lloyd, Jason D.
2017-01-01
Approximately 60% of classroom students have insufficient math skills. Within a Multi-Tiered Systems of Support (MTSS) framework, teachers can implement core differentiation strategies targeted at improving math skills of an entire class of students. Differentiation programs are developed in order to target academic skills of groups of students…
Combining Basic Business Math and Electronic Calculators.
ERIC Educational Resources Information Center
Merchant, Ronald
As a means of alleviating math anxiety among business students and of improving their business machine skills, Spokane Falls Community College offers a course in which basic business math skills are mastered through the use of desk top calculators. The self-paced course, which accommodates varying student skill levels, requires students to: (1)…
Integrating Vocational Competencies and Math Skills. Industrial Education.
ERIC Educational Resources Information Center
Missouri Univ., Columbia. Instructional Materials Lab.
This document is designed to help teachers identify those math skills that students must master to complete the vocational competencies taught in industrial education classes. Included in the document are 10 program area/math skills matrices that were developed as a result of a research development project during which secondary-level Missouri…
Community College Basic Skills Math Instructors' Experiences with Universal Design for Learning
ERIC Educational Resources Information Center
Greene, Sunny
2016-01-01
Multiple approaches have been used in U.S. community colleges to address the learning needs of postsecondary students who are underprepared in basic skills math. The purpose of this exploratory interview study was to gain a deeper understanding of community college basic skills math learning through instructors' lived experiences using the…
Basic Math Skills and Performance in an Introductory Statistics Course
ERIC Educational Resources Information Center
Johnson, Marianne; Kuennen, Eric
2006-01-01
We identify the student characteristics most associated with success in an introductory business statistics class, placing special focus on the relationship between student math skills and course performance, as measured by student grade in the course. To determine which math skills are important for student success, we examine (1) whether the…
Illinois Manufacturing Technology Curriculum.
ERIC Educational Resources Information Center
Cliffe, Roger; And Others
This manufacturing technology curriculum involves students in learning problem-solving, communication, team building, quality control, safety, math, science, and technical skills. The document begins with a section on implementation, which gives background information on the purposes and development of the curriculum, explains its rationale,…
Etiological Distinction of Working Memory Components in Relation to Mathematics
Lukowski, Sarah L.; Soden, Brooke; Hart, Sara A.; Thompson, Lee A.; Kovas, Yulia; Petrill, Stephen A.
2014-01-01
Working memory has been consistently associated with mathematics achievement, although the etiology of these relations remains poorly understood. The present study examined the genetic and environmental underpinnings of math story problem solving, timed calculation, and untimed calculation alongside working memory components in 12-year-old monozygotic (n = 105) and same-sex dizygotic (n = 143) twin pairs. Results indicated significant phenotypic correlation between each working memory component and all mathematics outcomes (r = 0.18 – 0.33). Additive genetic influences shared between the visuo-spatial sketchpad and mathematics achievement was significant, accounting for roughly 89% of the observed correlation. In addition, genetic covariance was found between the phonological loop and math story problem solving. In contrast, despite there being a significant observed relationship between phonological loop and timed and untimed calculation, there was no significant genetic or environmental covariance between the phonological loop and timed or untimed calculation skills. Further analyses indicated that genetic overlap between the visuo-spatial sketchpad and math story problem solving and math fluency was distinct from general genetic factors, whereas g, phonological loop, and mathematics shared generalist genes. Thus, although each working memory component was related to mathematics, the etiology of their relationships may be distinct. PMID:25477699
Executive Functions Contribute Uniquely to Reading Competence in Minority Youth.
Jacobson, Lisa A; Koriakin, Taylor; Lipkin, Paul; Boada, Richard; Frijters, Jan C; Lovett, Maureen W; Hill, Dina; Willcutt, Erik; Gottwald, Stephanie; Wolf, Maryanne; Bosson-Heenan, Joan; Gruen, Jeffrey R; Mahone, E Mark
Competent reading requires various skills beyond those for basic word reading (i.e., core language skills, rapid naming, phonological processing). Contributing "higher-level" or domain-general processes include information processing speed and executive functions (working memory, strategic problem solving, attentional switching). Research in this area has relied on largely Caucasian samples, with limited representation of children from racial or ethnic minority groups. This study examined contributions of executive skills to reading competence in 761 children of minority backgrounds. Hierarchical linear regressions examined unique contributions of executive functions (EF) to word reading, fluency, and comprehension. EF contributed uniquely to reading performance, over and above reading-related language skills; working memory contributed uniquely to all components of reading; while attentional switching, but not problem solving, contributed to isolated and contextual word reading and reading fluency. Problem solving uniquely predicted comprehension, suggesting that this skill may be especially important for reading comprehension in minority youth. Attentional switching may play a unique role in development of reading fluency in minority youth, perhaps as a result of the increased demand for switching between spoken versus written dialects. Findings have implications for educational and clinical practice with regard to reading instruction, remedial reading intervention, and assessment of individuals with reading difficulty.
Training for Fluency and Generalization of Math Facts Using Technology
ERIC Educational Resources Information Center
Musti-Rao, Shobana; Lynch, Tom Liam; Plati, Erin
2015-01-01
As American students struggle with basic mathematical skills, the importance of math fact fluency has gained the attention of educators and researchers. Generalization of math fact fluency is also important for the transfer of skills to other settings and formats, assisting students in the completion of more varied and complicated math tasks. This…
Early Math Interest and the Development of Math Skills
ERIC Educational Resources Information Center
Fisher, Paige H.; Dobbs-Oates, Jennifer; Doctoroff, Greta L.; Arnold, David H.
2012-01-01
Prior models suggest that math attitudes and ability might strengthen each other over time in a reciprocal fashion (Ma, 1997). The current study investigated the relationship between math interest and skill both concurrently and over time in a preschool sample. Analyses of concurrent relationships indicated that high levels of interest were…
Prediction of Word Recognition in the First Half of Grade 1
ERIC Educational Resources Information Center
Snel, M. J.; Aarnoutse, C. A. J.; Terwel, J.; van Leeuwe, J. F. J.; van der Veld, W. M.
2016-01-01
Early detection of reading problems is important to prevent an enduring lag in reading skills. We studied the relationship between speed of word recognition (after six months of grade 1 education) and four kindergarten pre-literacy skills: letter knowledge, phonological awareness and naming speed for both digits and letters. Our sample consisted…
Executive Function Buffers the Association between Early Math and Later Academic Skills.
Ribner, Andrew D; Willoughby, Michael T; Blair, Clancy B
2017-01-01
Extensive evidence has suggested that early academic skills are a robust indicator of later academic achievement; however, there is mixed evidence of the effectiveness of intervention on academic skills in early years to improve later outcomes. As such, it is clear there are other contributing factors to the development of academic skills. The present study tests the role of executive function (EF) (a construct made up of skills complicit in the achievement of goal-directed tasks) in predicting 5th grade math and reading ability above and beyond math and reading ability prior to school entry, and net of other cognitive covariates including processing speed, vocabulary, and IQ. Using a longitudinal dataset of N = 1292 participants representative of rural areas in two distinctive geographical parts of the United States, the present investigation finds EF at age 5 strongly predicts 5th grade academic skills, as do cognitive covariates. Additionally, investigation of an interaction between early math ability and EF reveals the magnitude of the association between early math and later math varies as a function of early EF, such that participants who have high levels of EF can "catch up" to peers who perform better on assessments of early math ability. These results suggest EF is pivotal to the development of academic skills throughout elementary school. Implications for further research and practice are discussed.
Foster, Matthew E; Sevcik, Rose A; Romski, Maryann; Morris, Robin D
2015-01-01
Both phonological awareness (PA) and naming speed have been identified as two skills related to the development of mathematics skills for children with and without learning disabilities. The purpose of the present study was to investigate the relationships between PA and colour naming speed for 265 elementary school students with mild intellectual disabilities (MID). Participants were assessed using the Comprehensive Test of Phonological Processes and the KeyMath Revised Diagnostic Inventory of Essential Mathematics. Hierarchical regression analyses accounting for the effects of age indicated that children with MID rely on both PA and naming speed when solving mathematics problems, although PA was the more robust indicator of the two. As a whole, these results suggest that children with intellectual disabilities evidence the same types of reading and math relationships as shown for other populations of children.
Peer Learning as a Tool to Strengthen Math Skills in Introductory Chemistry Laboratories
ERIC Educational Resources Information Center
Srougi, Melissa C.; Miller, Heather B.
2018-01-01
Math skills vary greatly among students enrolled in introductory chemistry courses. Students with weak math skills (algebra and below) tend to perform poorly in introductory chemistry courses, which is correlated with increased attrition rates. Previous research has shown that retention of main ideas in a peer learning environment is greater when…
Basic Math Skills and Performance in an Introductory Economics Class
ERIC Educational Resources Information Center
Ballard, Charles L.; Johnson, Marianne F.
2004-01-01
The authors measure math skills with a broader set of explanatory variables than have been used in previous studies. To identify what math skills are important for student success in introductory microeconomics, they examine (1) the student's score on the mathematics portion of the ACT Assessment Test, (2) whether the student has taken calculus,…
SSMILes: Investigating Various Volcanic Eruptions and Volcano Heights.
ERIC Educational Resources Information Center
Wagner-Pine, Linda; Keith, Donna Graham
1994-01-01
Presents an integrated math/science activity that shows students the differences among the three types of volcanoes using observation, classification, graphing, sorting, problem solving, measurement, averages, pattern relationships, calculators, computers, and research skills. Includes reproducible student worksheet. Lists 13 teacher resources.…
Revalidation of the Selection Instrument for Flight Training
2017-07-01
AACog) composite, as measured by the following SIFT subscales: o Mechanical Comprehension Test (MCT) o Math Skills Test (MST) o Reading...applied mechanical science. varies/ 15 minutes MST Math Skills Test—Assesses the examinee’s computational skill and mathematical aptitude...3.36 2.11 .03 1.01 Mechanical Comprehension 463 -1.95 3.58 .01 0.92 Math Skills 463 -2.59 2.87 .06 0.82 Reading Comprehension 463 -2.51 2.93 .52
Pitchford, Nicola J.; Papini, Chiara; Outhwaite, Laura A.; Gulliford, Anthea
2016-01-01
Fine motor skills have long been recognized as an important foundation for development in other domains. However, more precise insights into the role of fine motor skills, and their relationships to other skills in mediating early educational achievements, are needed to support the development of optimal educational interventions. We explored concurrent relationships between two components of fine motor skills, Fine Motor Precision and Fine Motor Integration, and early reading and maths development in two studies with primary school children of low-to-mid socio-economic status in the UK. Two key findings were revealed. First, despite being in the first 2 years of primary school education, significantly better performance was found in reading compared to maths across both studies. This may reflect the protective effects of recent national-level interventions to promote early literacy skills in young children in the UK that have not been similarly promoted for maths. Second, fine motor skills were a better predictor of early maths ability than they were of early reading ability. Hierarchical multiple regression revealed that fine motor skills did not significantly predict reading ability when verbal short-term memory was taken into account. In contrast, Fine Motor Integration remained a significant predictor of maths ability, even after the influence of non-verbal IQ had been accounted for. These results suggest that fine motor skills should have a pivotal role in educational interventions designed to support the development of early mathematical skills. PMID:27303342
Pitchford, Nicola J; Papini, Chiara; Outhwaite, Laura A; Gulliford, Anthea
2016-01-01
Fine motor skills have long been recognized as an important foundation for development in other domains. However, more precise insights into the role of fine motor skills, and their relationships to other skills in mediating early educational achievements, are needed to support the development of optimal educational interventions. We explored concurrent relationships between two components of fine motor skills, Fine Motor Precision and Fine Motor Integration, and early reading and maths development in two studies with primary school children of low-to-mid socio-economic status in the UK. Two key findings were revealed. First, despite being in the first 2 years of primary school education, significantly better performance was found in reading compared to maths across both studies. This may reflect the protective effects of recent national-level interventions to promote early literacy skills in young children in the UK that have not been similarly promoted for maths. Second, fine motor skills were a better predictor of early maths ability than they were of early reading ability. Hierarchical multiple regression revealed that fine motor skills did not significantly predict reading ability when verbal short-term memory was taken into account. In contrast, Fine Motor Integration remained a significant predictor of maths ability, even after the influence of non-verbal IQ had been accounted for. These results suggest that fine motor skills should have a pivotal role in educational interventions designed to support the development of early mathematical skills.
NASA Astrophysics Data System (ADS)
Ismail; Suwarsono, St.; Lukito, A.
2018-01-01
Critical thinking is one of the most important skills of the 21st century in addition to other learning skills such as creative thinking, communication skills and collaborative skills. This is what makes researchers feel the need to conduct research on critical thinking skills in junior high school students. The purpose of this study is to describe the critical thinking skills of junior high school female students with high mathematical skills in solving contextual and formal mathematical problems. To achieve this is used qualitative research. The subject of the study was a female student of eight grade junior high school. The students’ critical thinking skills are derived from in-depth problem-based interviews using interview guidelines. Interviews conducted in this study are problem-based interviews, which are done by the subject given a written assignment and given time to complete. The results show that critical thinking skills of female high school students with high math skills are as follows: In solving the problem at the stage of understanding the problem used interpretation skills with sub-indicators: categorization, decode, and clarify meaning. At the planning stage of the problem-solving strategy is used analytical skills with sub-indicators: idea checking, argument identification and argument analysis and evaluation skills with sub indicators: assessing the argument. In the implementation phase of problem solving, inference skills are used with subindicators: drawing conclusions, and problem solving and explanatory skills with sub-indicators: problem presentation, justification procedures, and argument articulation. At the re-checking stage all steps have been employed self-regulatory skills with sub-indicators: self-correction and selfstudy.
Sex Differences in the Relation between Math Performance, Spatial Skills, and Attitudes
ERIC Educational Resources Information Center
Ganley, Colleen M.; Vasilyeva, Marina
2011-01-01
Sex differences have been previously found in cognitive and affective predictors of math achievement, including spatial skills and math attitudes. It is important to determine whether there are sex differences not only in the predictors themselves, but also in the nature of their relation to math achievement. The present paper examined spatial…
Shake, Rattle, & Roll: Teaching Guide & Poster. Expect the Unexpected with Math[R
ERIC Educational Resources Information Center
Actuarial Foundation, 2013
2013-01-01
"Shake, Rattle, & Roll" is a new program developed by The Actuarial Foundation with Scholastic, provides dynamic real-world math content designed to build student skills while showing students the relevance of math to understanding their world and planning for their future. Math skills are increasingly important for students. According to the U.S.…
Supporting Early Math--Rationales and Requirements for High Quality Software
ERIC Educational Resources Information Center
Haake, Magnus; Husain, Layla; Gulz, Agneta
2015-01-01
There is substantial evidence that preschooler's performance in early math is highly correlated to math performance throughout school as well as academic skills in general. One way to help children attain early math skills is by using targeted educational software and the paper discusses potential gains of using such software to support early math…
Practical Math Skills: Situations--Strategies--Solutions. Junior High Level. Grades 7-8-9.
ERIC Educational Resources Information Center
Duncan, Jim
This material is a supplement to existing mathematics programs for young learners. The activities presented are based on assumptions about the young problem solver which are difficult to address in standard mathematics texts. In these pages it is assumed that each learner brings to the problem-solving effort a very personal experience base and a…
How Does the Empty Glass Fill? A Modern Philosophy of the Digital Divide.
ERIC Educational Resources Information Center
Singleton, Solveig; Mast, Lucas
2000-01-01
The authors argue that the digital divide is not a serious problem. Even without government help, entrepreneurs are offering myriad services and products geared towards people in the lower economic brackets. More of a problem, according to the authors, is the lack of basic skills in areas such as math and reading among younger people. (JM)
Motivation and Math Skills as Determinants of First-Year Performance in Economics
ERIC Educational Resources Information Center
Arnold, Ivo J. M.; Straten, Jerry T.
2012-01-01
The importance of math skills for study success in economics has been widely researched. This article adds to the literature by combining information on students' math skills and their motivation. The authors are thus able to present a rich picture of why students succeed in their study of economics and to confirm previous findings that deficient…
ERIC Educational Resources Information Center
Breen, Michael J.
1986-01-01
The cognitive patterns of three learning disability subtypes were studied: (1) students with higher math than reading skills, (2) students with higher reading than math skills, and (3) students with equally low math and reading skills. Results indicated that although the three groups were characterized by a number of discrete or unique patterns,…
Remediation of Childhood Math Anxiety and Associated Neural Circuits through Cognitive Tutoring
Iuculano, Teresa; Chen, Lang
2015-01-01
Math anxiety is a negative emotional reaction that is characterized by feelings of stress and anxiety in situations involving mathematical problem solving. High math-anxious individuals tend to avoid situations involving mathematics and are less likely to pursue science, technology, engineering, and math-related careers than those with low math anxiety. Math anxiety during childhood, in particular, has adverse long-term consequences for academic and professional success. Identifying cognitive interventions and brain mechanisms by which math anxiety can be ameliorated in children is therefore critical. Here we investigate whether an intensive 8 week one-to-one cognitive tutoring program designed to improve mathematical skills reduces childhood math anxiety, and we identify the neurobiological mechanisms by which math anxiety can be reduced in affected children. Forty-six children in grade 3, a critical early-onset period for math anxiety, participated in the cognitive tutoring program. High math-anxious children showed a significant reduction in math anxiety after tutoring. Remarkably, tutoring remediated aberrant functional responses and connectivity in emotion-related circuits anchored in the basolateral amygdala. Crucially, children with greater tutoring-induced decreases in amygdala reactivity had larger reductions in math anxiety. Our study demonstrates that sustained exposure to mathematical stimuli can reduce math anxiety and highlights the key role of the amygdala in this process. Our findings are consistent with models of exposure-based therapy for anxiety disorders and have the potential to inform the early treatment of a disability that, if left untreated in childhood, can lead to significant lifelong educational and socioeconomic consequences in affected individuals. SIGNIFICANCE STATEMENT Math anxiety during early childhood has adverse long-term consequences for academic and professional success. It is therefore important to identify ways to alleviate math anxiety in young children. Surprisingly, there have been no studies of cognitive interventions and the underlying neurobiological mechanisms by which math anxiety can be ameliorated in young children. Here, we demonstrate that intensive 8 week one-to-one cognitive tutoring not only reduces math anxiety but also remarkably remediates aberrant functional responses and connectivity in emotion-related circuits anchored in the amygdala. Our findings are likely to propel new ways of thinking about early treatment of a disability that has significant implications for improving each individual's academic and professional chances of success in today's technological society that increasingly demands strong quantitative skills. PMID:26354922
Priming Ability-Relevant Social Categories Improves Intellectual Test Performance
ERIC Educational Resources Information Center
Lin, Phoebe S.; Kennette, Lynne N.; Van Havermaet, Lisa R.; Frank, Nichole M.; McIntyre, Rusty B.
2012-01-01
Research shows that priming affects behavioral tasks; fewer studies, however, have been conducted on how social category primes affect cognitive tasks. The present study aimed to examine the effects of social category primes on math performance and word recall. It was hypothesized that Asian prime words would improve math performance and word…
Flanagan, K. M.; Einarson, J.
2017-01-01
In a world filled with big data, mathematical models, and statistics, the development of strong quantitative skills is becoming increasingly critical for modern biologists. Teachers in this field must understand how students acquire quantitative skills and explore barriers experienced by students when developing these skills. In this study, we examine the interrelationships among gender, grit, and math confidence for student performance on a pre–post quantitative skills assessment and overall performance in an undergraduate biology course. Here, we show that females significantly underperformed relative to males on a quantitative skills assessment at the start of term. However, females showed significantly higher gains over the semester, such that the gender gap in performance was nearly eliminated by the end of the semester. Math confidence plays an important role in the performance on both the pre and post quantitative skills assessments and overall performance in the course. The effect of grit on student performance, however, is mediated by a student’s math confidence; as math confidence increases, the positive effect of grit decreases. Consequently, the positive impact of a student’s grittiness is observed most strongly for those students with low math confidence. We also found grit to be positively associated with the midterm score and the final grade in the course. Given the relationships established in this study among gender, grit, and math confidence, we provide “instructor actions” from the literature that can be applied in the classroom to promote the development of quantitative skills in light of our findings. PMID:28798209
Mathematics Unit Plans. PACE '94.
ERIC Educational Resources Information Center
Wiles, Clyde A., Ed.; Schoon, Kenneth J., Ed.
This booklet contains mathematics unit plans for Algebra 1, Geometry, Math for Technology, Mathematical Problem Solving, and Pre-Algebra developed by PACE (Promoting Academic Excellence In Mathematics, Science & Technology for Workers of the 21st Century). Each unit plan contains suggested timing, objectives, skills to be acquired, workplace…
ERIC Educational Resources Information Center
Schoppek, Wolfgang; Tulis, Maria
2010-01-01
The fluency of basic arithmetical operations is a precondition for mathematical problem solving. However, the training of skills plays a minor role in contemporary mathematics instruction. The authors proposed individualization of practice as a means to improve its efficiency, so that the time spent with the training of skills is minimized. As a…
ERIC Educational Resources Information Center
Actuarial Foundation, 2013
2013-01-01
"Welcome to Conversions Rock" is a new math program designed to build and reinforce the important skills of converting fractions, decimals, and percents for students in grades 6-8. Developed by The Actuarial Foundation, this program seeks to provide skill-building, real-world math to help students become successful in the classroom and beyond. [A…
Child-Level Predictors of Responsiveness to Evidence-Based Mathematics Intervention.
Powell, Sarah R; Cirino, Paul T; Malone, Amelia S
2017-07-01
We identified child-level predictors of responsiveness to 2 types of mathematics (calculation and word-problem) intervention among 2nd-grade children with mathematics difficulty. Participants were 250 children in 107 classrooms in 23 schools pretested on mathematics and general cognitive measures and posttested on mathematics measures. We assigned classrooms randomly assigned to calculation intervention, word-problem intervention, or business-as-usual control. Intervention lasted 17 weeks. Path analyses indicated that scores on working memory and language comprehension assessments moderated responsiveness to calculation intervention. No moderators were identified for responsiveness to word-problem intervention. Across both intervention groups and the control group, attentive behavior predicted both outcomes. Initial calculation skill predicted the calculation outcome, and initial language comprehension predicted word-problem outcomes. These results indicate that screening for calculation intervention should include a focus on working memory, language comprehension, attentive behavior, and calculations. Screening for word-problem intervention should focus on attentive behavior and word problems.
NASA Astrophysics Data System (ADS)
Burn, H. E.; Wenner, J. M.; Baer, E. M.
2011-12-01
The quantitative components of introductory geoscience courses can pose significant barriers to students. Many academic departments respond by stripping courses of their quantitative components or by attaching prerequisite mathematics courses [PMC]. PMCs cause students to incur additional costs and credits and may deter enrollment in introductory courses; yet, stripping quantitative content from geoscience courses masks the data-rich, quantitative nature of geoscience. Furthermore, the diversity of math skills required in geoscience and students' difficulty with transferring mathematical knowledge across domains suggest that PMCs may be ineffective. Instead, this study explores an alternative strategy -- to remediate students' mathematical skills using online modules that provide students with opportunities to build contextual quantitative reasoning skills. The Math You Need, When You Need It [TMYN] is a set of modular online student resources that address mathematical concepts in the context of the geosciences. TMYN modules are online resources that employ a "just-in-time" approach - giving students access to skills and then immediately providing opportunities to apply them. Each module places the mathematical concept in multiple geoscience contexts. Such an approach illustrates the immediate application of a principle and provides repeated exposure to a mathematical skill, enhancing long-term retention. At the same time, placing mathematics directly in several geoscience contexts better promotes transfer of learning by using similar discourse (words, tools, representations) and context that students will encounter when applying mathematics in the future. This study uses quantitative and qualitative data to explore the effectiveness of TMYN modules in remediating students' mathematical skills. Quantitative data derive from ten geoscience courses that used TMYN modules during the fall 2010 and spring 2011 semesters; none of the courses had a PMC. In all courses, students completed a pretest, the assigned modules, and a posttest. Success in remediation was measured using normalized gain scores, which measures the change in score divided by the maximum possible increase: (posttest-pretest)/(1-pretest). To compare across courses, normalized gain scores were standardized. Additional analysis included disaggregating normalized gain scores by quartiles based on pretest scores. The results were supplemented by qualitative data from faculty interviews and information provided by faculty on a web form upon completion of the course. Results suggest TMYN modules remediate mathematical skills effectively, and that normalized gains tend to be higher for students in the lower quartiles on the pretest. Students indicate finding the modules helpful, though sometimes difficult. Faculty interview data triangulate these findings and provide further evidence that online, modularized remediation is an effective alternative to assigning prerequisite mathematical courses to remediate mathematical skills.
ERIC Educational Resources Information Center
Scheiter, Katharina; Gerjets, Peter; Schuh, Julia
2010-01-01
In this paper the augmentation of worked examples with animations for teaching problem-solving skills in mathematics is advocated as an effective instructional method. First, in a cognitive task analysis different knowledge prerequisites are identified for solving mathematical word problems. Second, it is argued that so called hybrid animations…
Executive Functions Contribute Uniquely to Reading Competence in Minority Youth
Jacobson, Lisa A.; Koriakin, Taylor; Lipkin, Paul; Boada, Richard; Frijters, Jan; Lovett, Maureen; Hill, Dina; Willcutt, Erik; Gottwald, Stephanie; Wolf, Maryanne; Bosson-Heenan, Joan; Gruen, Jeffrey R.; Mahone, E. Mark
2018-01-01
Competent reading requires various skills beyond those for basic word reading (i.e., core language skills, rapid naming, phonological processing). Contributing “higher-level” or domain-general processes include information processing speed and executive functions (working memory, strategic problem solving, attentional switching). Research in this area has relied on largely Caucasian samples, with limited representation of children from racial or ethnic minority groups. This study examined contributions of executive skills to reading competence in 761 children of minority backgrounds. Hierarchical linear regressions examined unique contributions of executive functions (EF) to word reading, fluency, and comprehension. EF contributed uniquely to reading performance, over and above reading-related language skills; working memory contributed uniquely to all components of reading; while attentional switching, but not problem solving, contributed to isolated and contextual word reading and reading fluency. Problem solving uniquely predicted comprehension, suggesting that this skill may be especially important for reading comprehension in minority youth. Attentional switching may play a unique role in development of reading fluency in minority youth, perhaps as a result of the increased demand for switching between spoken versus written dialects. Findings have implications for educational and clinical practice with regard to reading instruction, remedial reading intervention, and assessment of individuals with reading difficulty. PMID:26755569
Teaching a Biotechnology Unit in High School General Biology.
ERIC Educational Resources Information Center
Hays, Lana
1994-01-01
Describes a unit in biotechnology for average and below average high school students. Students developed productive team membership, used math and communication skills to solve problems, and used the scientific method to learn about biotechnology. Students separated DNA, transformed bacterial cells, interpreted DNA fingerprints, completed creative…
Rose, Nathan S; Buchsbaum, Bradley R; Craik, Fergus I M
2014-07-01
Many working memory (WM) models propose that the focus of attention (or primary memory) has a capacity limit of one to four items, and therefore, that performance on WM tasks involves retrieving some items from long-term (or secondary) memory (LTM). In the present study, we present evidence suggesting that recall of even one item on a WM task can involve retrieving it from LTM. The WM task required participants to make a deep (living/nonliving) or shallow ("e"/no "e") level-of-processing (LOP) judgment on one word and to recall the word after a 10-s delay on each trial. During the delay, participants either rehearsed the word or performed an easy or a hard math task. When the to-be-remembered item could be rehearsed, recall was fast and accurate. When it was followed by a math task, recall was slower, error-prone, and benefited from a deeper LOP at encoding, especially for the hard math condition. The authors suggest that a covert-retrieval mechanism may have refreshed the item during easy math, and that the hard math condition shows that even a single item cannot be reliably held in WM during a sufficiently distracting task--therefore, recalling the item involved retrieving it from LTM. Additionally, performance on a final free recall (LTM) test was better for items recalled following math than following rehearsal, suggesting that initial recall following math involved elaborative retrieval from LTM, whereas rehearsal did not. The authors suggest that the extent to which performance on WM tasks involves retrieval from LTM depends on the amounts of disruption to both rehearsal and covert-retrieval/refreshing maintenance mechanisms.
The Relative Value of Growth in Math Fact Skills across Late Elementary and Middle School
ERIC Educational Resources Information Center
Nelson, Peter M.; Parker, David C.; Zaslofsky, Anne F.
2016-01-01
The purpose of the current study was to evaluate the importance of growth in math fact skills within the context of overall math proficiency. Data for 1,493 elementary and middle school students were included for analysis. Regression models were fit to examine the relative value of math fact fluency growth, prior state test performance, and a fall…
ERIC Educational Resources Information Center
Fleming, Dan
2004-01-01
Based on his personal experience as vice principal of Fuller Middle School and a former school librarian, and participating in a school-wide initiative that focuses on strengthening students' math skills, the author of this article provides suggestions of various ways librarians can integrate math skills into their library lessons. Math is…
First Grade Math Skills Set Foundation for Later Math Ability
... cognitive skills as memory, attention span, and general intelligence. The researchers found that by seventh grade, children ... between the two groups were not related to intelligence, language skills or the method students used to ...
Football to Improve Math and Reading Performance
ERIC Educational Resources Information Center
Van Klaveren, Chris; De Witte, Kristof
2015-01-01
Schools frequently increase the instructional time to improve primary school children's math and reading skills. There is, however, little evidence that math and reading skills are effectively improved by these instruction-time increases. This study evaluates "Playing for Success" (PfS), an extended school day program for underachieving…
Miranda-Casas, A; Marco-Taverner, R; Soriano-Ferrer, M; Melià de Alba, A; Simó-Casañ, P
2008-01-01
Different procedures have demonstrated efficacy to teach cognitive and metacognitive strategies to problem solving in mathematics. Some studies have used computer-based problem solving instructional programs. To analyze in students with learning disabilities the efficacy of a cognitive strategies training for problem solving, with three instructional delivery formats: a teacher-directed program (T-D), a computer-assisted instructional (CAI) program, and a combined program (T-D + CAI). Forty-four children with mathematics learning disabilities, between 8 and 10 years old participated in this study. The children were randomly assigned to one of the three instructional formats and a control group without cognitive strategies training. In the three instructional conditions which were compared all the students learnt problems solving linguistic and visual cognitive strategies trough the self-instructional procedure. Several types of measurements were used for analysing the possible differential efficacy of the three instructional methods implemented: solving problems tests, marks in mathematics, internal achievement responsibility scale, and school behaviours teacher ratings. Our findings show that the T-D training group and the T-D + CAI group improved significantly on math word problem solving and on marks in Maths from pre- to post-testing. In addition, the results indicated that the students of the T-D + CAI group solved more real-life problems and developed more internal attributions compared to both control and CAI groups. Finally, with regard to school behaviours, improvements in school adjustment and learning problems were observed in the students of the group with a combined instructional format (T-D + CAI).
Reactivity to stress and the cognitive components of math disability in grade 1 children.
MacKinnon McQuarrie, Maureen A; Siegel, Linda S; Perry, Nancy E; Weinberg, Joanne
2014-01-01
This study investigated the relationship among working memory, processing speed, math performance, and reactivity to stress in 83 Grade 1 children. Specifically, 39 children with math disability (MD) were compared to 44 children who are typically achieving (TA) in mathematics. It is the first study to use a physiological index of stress (salivary cortisol levels) to measure children's reactivity while completing tasks that assess the core components of MD: working memory for numbers, working memory for words, digits backward, letter number sequence, digit span forward, processing speed for numbers and words, block rotation, and math tasks. Grade 1 children with MD obtained significantly lower scores on the letter number sequence and quantitative concepts tasks. Higher levels of reactivity significantly predicted poorer performance on the working memory for numbers, working memory for words, and quantitative concepts tasks for Grade 1 children, regardless of math ability. Grade 1 children with MD and higher reactivity had significantly lower scores on the letter number sequence task than the children with MD and low reactivity. The findings suggest that high reactivity impairs performance in working memory and math tasks in Grade 1 children, and young children with high reactivity may benefit from interventions aimed at lowering anxiety in stressful situations, which may improve learning. © Hammill Institute on Disabilities 2012.
Reactivity to Stress and the Cognitive Components of Math Disability in Grade 1 Children
MacKinnon McQuarrie, Maureen A.; Siegel, Linda S.; Perry, Nancy E.; Weinberg, Joanne
2016-01-01
This study investigated the relationship among working memory, processing speed, math performance, and reactivity to stress in 83 Grade 1 children. Specifically, 39 children with math disability (MD) were compared to 44 children who are typically achieving (TA) in mathematics. It is the first study to use a physiological index of stress (salivary cortisol levels) to measure children’s reactivity while completing tasks that assess the core components of MD: working memory for numbers, working memory for words, digits backward, letter number sequence, digit span forward, processing speed for numbers and words, block rotation, and math tasks. Grade 1 children with MD obtained significantly lower scores on the letter number sequence and quantitative concepts tasks. Higher levels of reactivity significantly predicted poorer performance on the working memory for numbers, working memory for words, and quantitative concepts tasks for Grade 1 children, regardless of math ability. Grade 1 children with MD and higher reactivity had significantly lower scores on the letter number sequence task than the children with MD and low reactivity. The findings suggest that high reactivity impairs performance in working memory and math tasks in Grade 1 children, and young children with high reactivity may benefit from interventions aimed at lowering anxiety in stressful situations, which may improve learning. PMID:23124381
ERIC Educational Resources Information Center
Powell, Sarah R.; Fuchs, Lynn S.
2010-01-01
Elementary school students often misinterpret the equal sign (=) as an operational rather than a relational symbol. Such misunderstanding is problematic because solving equations with missing numbers may be important for the development of higher order mathematics skills, including solving word problems. Research indicates equal-sign instruction…
Data Driven Math Intervention: What the Numbers Say
ERIC Educational Resources Information Center
Martin, Anthony W.
2013-01-01
This study was designed to determine whether or not data driven math skills groups would be effective in increasing student academic achievement. From this topic three key questions arose: "Would the implementation of data driven math skills groups improve student academic achievement more than standard instruction as measured by the…
ERIC Educational Resources Information Center
Higa, Joice M.
2017-01-01
Students with disabilities often have difficulty meeting established math proficiency levels. Without these skills, students may face increased challenges in transitioning to adulthood, including fewer post-secondary educational opportunities, limited career options, and decreased long-term income. Addressing low math skills is important to…
ERIC Educational Resources Information Center
Casey, Beth M.; Lombardi, Caitlin McPherran; Pollock, Amanda; Fineman, Bonnie; Pezaris, Elizabeth
2017-01-01
This study investigated longitudinal pathways leading from early spatial skills in first-grade girls to their fifth-grade analytical math reasoning abilities (N = 138). First-grade assessments included spatial skills, verbal skills, addition/subtraction skills, and frequency of choice of a decomposition or retrieval strategy on the…
Neural Correlates of Math Gains Vary Depending on Parental Socioeconomic Status (SES)
Demir-Lira, Özlem Ece; Prado, Jérôme; Booth, James R.
2016-01-01
We used functional magnetic resonance imaging (fMRI) to examine the neural predictors of math development, and asked whether these predictors vary as a function of parental socioeconomic status (SES) in children ranging in age from 8 to 13 years. We independently localized brain regions subserving verbal versus spatial processing in order to characterize relations between activation in these regions during an arithmetic task and long-term change in math skill (up to 3 years). Neural predictors of math gains encompassed brain regions subserving both verbal and spatial processing, but the relation between relative reliance on these regions and math skill growth varied depending on parental SES. Activity in an area of the left inferior frontal gyrus (IFG) identified by the verbal localizer was related to greater growth in math skill at the higher end of the SES continuum, but lesser improvements at the lower end. Activity in an area of the right superior parietal cortex identified by the spatial localizer was related to greater growth in math skill at the lower end of the SES continuum, but lesser improvements at the higher end. Results highlight early neural mechanisms as possible neuromarkers of long-term arithmetic learning and suggest that neural predictors of math gains vary with parental SES. PMID:27378987
Creating Futures Activity Cards and Teacher Guide.
ERIC Educational Resources Information Center
Klenzman, Elizabeth; Taylor, Paula
Teachers can use these learning activities to teach about the future in elementary and secondary social studies, science, math, language arts, and arts courses. The purpose of the activities is to help students practice creative-thinking skills, investigate problems relevant to their personal futures, experience the concept of change, and evaluate…
Science Education for Students with Special Needs
ERIC Educational Resources Information Center
Villanueva, Mary Grace; Taylor, Jonte; Therrien, William; Hand, Brian
2012-01-01
Students with special needs tend to show significantly lower achievement in science than their peers. Reasons for this include severe difficulties with academic skills (i.e. reading, math and writing), behaviour problems and limited prior understanding of core concepts background knowledge. Despite this bleak picture, much is known on how to…
ERIC Educational Resources Information Center
Bhattacharyya, Sonalee; Namakshi, Nama; Zunker, Christina; Warshauer, Hiroko K.; Warshauer, Max
2016-01-01
Making math more engaging for students is a challenge that every teacher faces on a daily basis. These authors write that they are constantly searching for rich problem-solving tasks that cover the necessary content, develop critical-thinking skills, and engage student interest. The Mystery Fraction activity provided here focuses on a key number…
Get to Know Your Neighborhood Pest: An Interdisciplinary Project for Middle School Students.
ERIC Educational Resources Information Center
Zipko, Stephen J.
1982-01-01
Describes an interdisciplinary, month-long minicourse project focusing on the gypsy moth. The project provided students with opportunities to develop analytical and problem-solving skills while studying content from entomology, botany, chemistry, toxicology, ecology, math, art, law, political science, history, English, consumer studies, and…
Brain Stretchers, Book 3 - Advanced.
ERIC Educational Resources Information Center
Stickels, Terry H.
Current thinking suggests that solving brainteasing puzzles uses the same critical thinking skills needed to solve difficult math, science, and business problems. This book is a non-intimidating exploration of the wonderful powers of the mind with an emphasis on the joy of thinking and learning. It contains 100 puzzles, presented in order of…
Basic Mathematics Operations--A Math Practice Booklet.
ERIC Educational Resources Information Center
Herr, Nicholas K.
Intended for use in vocational high schools, the workbook is designed to help the student understand and develop skill in performing the four basic arithmetical operations: addition, subtraction, multiplication, and division. Also stressed is the correct reading and writing of numbers. The booklet consists of explanatory text, arithmetic problems,…
ERIC Educational Resources Information Center
Stapp, Alicia; Chessin, Debby; Deason, Rebecca
2018-01-01
The authors represent the life cycle of the butterfly through writing, drawing, dance, and math. The Next Generation Science Standards (NGSS) (NGSS Lead States 2013) emphasize college and career readiness as well as critical thinking and problem-solving skills. Students must develop a deep understanding of science concepts and engage in scientific…
Professional Development Integrating Technology: Does Delivery Format Matter?
ERIC Educational Resources Information Center
Claesgens, Jennifer; Rubino-Hare, Lori; Bloom, Nena; Fredrickson, Kristi; Henderson-Dahms, Carol; Menasco, Jackie; Sample, James
2013-01-01
The goal of the two Power of Data (POD) projects was to increase science, technology and math skills through the implementation of project-based learning modules that teach students how to solve problems through data collection and analysis utilizing geospatial technologies. Professional development institutes in two formats were offered to…
Undurraga, Eduardo A; Behrman, Jere R; Grigorenko, Elena L; Schultz, Alan; Yiu, Julie; Godoy, Ricardo A
2013-12-01
Research in industrial nations suggests that formal math skills are associated with improvements in market and non-market outcomes. But do these associations also hold in a highly autarkic setting with a limited formal labor market? We examined this question using observational annual panel data (2008 and 2009) from 1,121 adults in a native Amazonian society of forager-farmers in Bolivia (Tsimane'). Formal math skills were associated with an increase in wealth in durable market goods and in total wealth between data collection rounds, and with improved indicators of own reported perceived stress and child health. These associations did not vary significantly by people's Spanish skills or proximity to town. We conclude that the positive association between math skills and market and non-market outcomes extends beyond industrial nations to even highly autarkic settings.
Math anxiety and its relationship with basic arithmetic skills among primary school children.
Sorvo, Riikka; Koponen, Tuire; Viholainen, Helena; Aro, Tuija; Räikkönen, Eija; Peura, Pilvi; Dowker, Ann; Aro, Mikko
2017-09-01
Children have been found to report and demonstrate math anxiety as early as the first grade. However, previous results concerning the relationship between math anxiety and performance are contradictory, with some studies establishing a correlation between them while others do not. These contradictory results might be related to varying operationalizations of math anxiety. In this study, we aimed to examine the prevalence of math anxiety and its relationship with basic arithmetic skills in primary school children, with explicit focus on two aspects of math anxiety: anxiety about failure in mathematics and anxiety in math-related situations. The participants comprised 1,327 children at grades 2-5. Math anxiety was assessed using six items, and basic arithmetic skills were assessed using three assessment tasks. Around one-third of the participants reported anxiety about being unable to do math, one-fifth about having to answer teachers' questions, and one tenth about having to do math. Confirmatory factor analysis indicated that anxiety about math-related situations and anxiety about failure in mathematics are separable aspects of math anxiety. Structural equation modelling suggested that anxiety about math-related situations was more strongly associated with arithmetic fluency than anxiety about failure. Anxiety about math-related situations was most common among second graders and least common among fifth graders. As math anxiety, particularly about math-related situations, was related to arithmetic fluency even as early as the second grade, children's negative feelings and math anxiety should be identified and addressed from the early primary school years. © 2017 The British Psychological Society.
NASA Astrophysics Data System (ADS)
Mikula, Brendon D.; Heckler, Andrew F.
2017-06-01
We propose a framework for improving accuracy, fluency, and retention of basic skills essential for solving problems relevant to STEM introductory courses, and implement the framework for the case of basic vector math skills over several semesters in an introductory physics course. Using an iterative development process, the framework begins with a careful identification of target skills and the study of specific student difficulties with these skills. It then employs computer-based instruction, immediate feedback, mastery grading, and well-researched principles from cognitive psychology such as interleaved training sequences and distributed practice. We implemented this with more than 1500 students over 2 semesters. Students completed the mastery practice for an average of about 13 min /week , for a total of about 2-3 h for the whole semester. Results reveal large (>1 SD ) pretest to post-test gains in accuracy in vector skills, even compared to a control group, and these gains were retained at least 2 months after practice. We also find evidence of improved fluency, student satisfaction, and that awarding regular course credit results in higher participation and higher learning gains than awarding extra credit. In all, we find that simple computer-based mastery practice is an effective and efficient way to improve a set of basic and essential skills for introductory physics.
NASA Astrophysics Data System (ADS)
Arnellis, A.; Jamaan, E. Z.; Amalita, N.
2018-04-01
The goal to analyse a improvement of teacher competence after being trained in preparing high-order math olympicad based on high order thinking skills in junior high school teachers in Pesisir Selatan Regency. The sample of these activities are teachers at the MGMP junior high school in Pesisir Selatan District. Evaluation of the implementation is done by giving a pre test and post test, which will measure the success rate of the implementation of this activities. The existence of the devotion activities is expected to understand the enrichment of mathematics olympiad material and training in the preparation of math olympiad questions for the teachers of South Pesisir district junior high school, motivating and raising the interest of the participants in order to follow the mathematics olympiad with the enrichment of mathematics materials and the training of problem solving about mathematics olympiad for junior high school teachers, the participants gain experience and gain insight, as well as the ins and outs of junior mathematics olympiad and implement to teachers and students in olympic competitions. The result of that the post-test is better than the result of pretest in the training of mathematics teacher competence improvement in composing the mathematics olympiad problem based on high order thinking skills of junior high school (SMP) in Pesisir Selatan District, West Sumatra, Indonesia.
Transition Mathematics. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2007
2007-01-01
"Transition Mathematics" aims to increase 7th- through 12th-grade students' skills in applied arithmetic, pre-algebra, and pre-geometry. This one-year curriculum also addresses general application to different wordings of problems, types of numbers, and contexts for problems and aims to promote mathematical reading skills. The curriculum…
Murphy, Melissa M; Mazzocco, Michèle M M; Hanich, Laurie B; Early, Martha C
2007-01-01
Researchers of mathematics learning disability (MLD) commonly use cutoff scores to determine which participants have MLD. Some researchers apply more restrictive cutoffs than others (e.g., performance below the 10th vs. below the 35th percentile). Different cutoffs may lead to groups of children that differ in their profile of math and related skills, including reading, visual-spatial, and working memory skills. The present study assesses the characteristics of children with MLD based on varying MLD definitions of math performance either below the 10th percentile (n = 22) or between the 11th and 25th percentile (n = 42) on the Test of Early Math Ability, second edition (TEMA-2). Initial starting levels and growth rates for math and related skills were examined in these two MLD groups relative to a comparison group (n = 146) whose TEMA-2 performance exceeded the 25th percentile. Between kindergarten and third grade, differences emerged in the starting level and growth rate, suggesting qualitative differences among the three groups. Despite some similarities, qualitative group differences were also observed in the profiles of math-related skills across groups. These results highlight differences in student characteristics based on the definition of MLD and illustrate the value of examining skill areas associated with math performance in addition to math performance itself.
Remediation of Childhood Math Anxiety and Associated Neural Circuits through Cognitive Tutoring.
Supekar, Kaustubh; Iuculano, Teresa; Chen, Lang; Menon, Vinod
2015-09-09
Math anxiety is a negative emotional reaction that is characterized by feelings of stress and anxiety in situations involving mathematical problem solving. High math-anxious individuals tend to avoid situations involving mathematics and are less likely to pursue science, technology, engineering, and math-related careers than those with low math anxiety. Math anxiety during childhood, in particular, has adverse long-term consequences for academic and professional success. Identifying cognitive interventions and brain mechanisms by which math anxiety can be ameliorated in children is therefore critical. Here we investigate whether an intensive 8 week one-to-one cognitive tutoring program designed to improve mathematical skills reduces childhood math anxiety, and we identify the neurobiological mechanisms by which math anxiety can be reduced in affected children. Forty-six children in grade 3, a critical early-onset period for math anxiety, participated in the cognitive tutoring program. High math-anxious children showed a significant reduction in math anxiety after tutoring. Remarkably, tutoring remediated aberrant functional responses and connectivity in emotion-related circuits anchored in the basolateral amygdala. Crucially, children with greater tutoring-induced decreases in amygdala reactivity had larger reductions in math anxiety. Our study demonstrates that sustained exposure to mathematical stimuli can reduce math anxiety and highlights the key role of the amygdala in this process. Our findings are consistent with models of exposure-based therapy for anxiety disorders and have the potential to inform the early treatment of a disability that, if left untreated in childhood, can lead to significant lifelong educational and socioeconomic consequences in affected individuals. Significance statement: Math anxiety during early childhood has adverse long-term consequences for academic and professional success. It is therefore important to identify ways to alleviate math anxiety in young children. Surprisingly, there have been no studies of cognitive interventions and the underlying neurobiological mechanisms by which math anxiety can be ameliorated in young children. Here, we demonstrate that intensive 8 week one-to-one cognitive tutoring not only reduces math anxiety but also remarkably remediates aberrant functional responses and connectivity in emotion-related circuits anchored in the amygdala. Our findings are likely to propel new ways of thinking about early treatment of a disability that has significant implications for improving each individual's academic and professional chances of success in today's technological society that increasingly demands strong quantitative skills. Copyright © 2015 the authors 0270-6474/15/3512574-10$15.00/0.
Gable, Sara; Krull, Jennifer L; Chang, Yiting
2012-01-01
This study tests a mediated model of boys' and girls' weight status and math performance with 6,250 children from the Early Childhood Longitudinal Study. Five data points spanning kindergarten entry (mean age=68.46 months) through fifth grade (mean age=134.60 months) were analyzed. Three weight status groups were identified: persistent obesity, later onset obesity, and never obese. Multilevel models tested relations between weight status and math performance, weight status and interpersonal skills and internalizing behaviors, and interpersonal skills and internalizing behaviors and math performance. Interpersonal skills mediated the association between weight status and math performance for girls, and internalizing behaviors mediated the association between weight status and math performance for both sexes, with effects varying by group and time. © 2012 The Authors. Child Development © 2012 Society for Research in Child Development, Inc.
ERIC Educational Resources Information Center
Cihak, David F.; Grim, Joan
2008-01-01
The demands of basic math skills often limit the ability of students with autism spectrum disorders to master purchasing skills. This study examined the use of counting-on math skills in conjunction with the next-dollar strategy to enhance independent purchasing skills. Four students with autism and intellectual disabilities successfully acquired…
ERIC Educational Resources Information Center
Pennsylvania State Univ., University Park. Div. of Occupational and Vocational Studies.
A project was undertaken to implement the employability, reading, and math skills of disadvantaged students in vocational education. Included in the project were the following activities: (1) field tests, evaluation, and dissemination of a mathematics skills curriculum guide for disadvantaged learners; (2) field tests and revision of guidelines…
Federal Register 2010, 2011, 2012, 2013, 2014
2013-12-12
... Student Assessment Systems (CASAS) Life Skills Math Assessments--Application of Mathematics (Secondary... Proficiency Test (MAPT) for Math. This test is approved for use through a computer-adaptive delivery format...: www.wonderlic.com . (2) General Assessment of Instructional Needs (GAIN)--Test of Math Skills. Forms A...
ERIC Educational Resources Information Center
Freeman-Green, Shaqwana M.; O'Brien, Chris; Wood, Charles L.; Hitt, Sara Beth
2015-01-01
This study examined the effects of explicit instruction in the SOLVE Strategy on the mathematical problem solving skills of six Grade 8 students with specific learning disabilities. The SOLVE Strategy is an explicit instruction, mnemonic-based learning strategy designed to help students in solving mathematical word problems. Using a multiple probe…
Fine motor skills and early comprehension of the world: two new school readiness indicators.
Grissmer, David; Grimm, Kevin J; Aiyer, Sophie M; Murrah, William M; Steele, Joel S
2010-09-01
Duncan et al. (2007) presented a new methodology for identifying kindergarten readiness factors and quantifying their importance by determining which of children's developing skills measured around kindergarten entrance would predict later reading and math achievement. This article extends Duncan et al.'s work to identify kindergarten readiness factors with 6 longitudinal data sets. Their results identified kindergarten math and reading readiness and attention as the primary long-term predictors but found no effects from social skills or internalizing and externalizing behavior. We incorporated motor skills measures from 3 of the data sets and found that fine motor skills are an additional strong predictor of later achievement. Using one of the data sets, we also predicted later science scores and incorporated an additional early test of general knowledge of the social and physical world as a predictor. We found that the test of general knowledge was by far the strongest predictor of science and reading and also contributed significantly to predicting later math, making the content of this test another important kindergarten readiness indicator. Together, attention, fine motor skills, and general knowledge are much stronger overall predictors of later math, reading, and science scores than early math and reading scores alone.
How Math Anxiety Relates to Number-Space Associations.
Georges, Carrie; Hoffmann, Danielle; Schiltz, Christine
2016-01-01
Given the considerable prevalence of math anxiety, it is important to identify the factors contributing to it in order to improve mathematical learning. Research on math anxiety typically focusses on the effects of more complex arithmetic skills. Recent evidence, however, suggests that deficits in basic numerical processing and spatial skills also constitute potential risk factors of math anxiety. Given these observations, we determined whether math anxiety also depends on the quality of spatial-numerical associations. Behavioral evidence for a tight link between numerical and spatial representations is given by the SNARC (spatial-numerical association of response codes) effect, characterized by faster left-/right-sided responses for small/large digits respectively in binary classification tasks. We compared the strength of the SNARC effect between high and low math anxious individuals using the classical parity judgment task in addition to evaluating their spatial skills, arithmetic performance, working memory and inhibitory control. Greater math anxiety was significantly associated with stronger spatio-numerical interactions. This finding adds to the recent evidence supporting a link between math anxiety and basic numerical abilities and strengthens the idea that certain characteristics of low-level number processing such as stronger number-space associations constitute a potential risk factor of math anxiety.
How Math Anxiety Relates to Number–Space Associations
Georges, Carrie; Hoffmann, Danielle; Schiltz, Christine
2016-01-01
Given the considerable prevalence of math anxiety, it is important to identify the factors contributing to it in order to improve mathematical learning. Research on math anxiety typically focusses on the effects of more complex arithmetic skills. Recent evidence, however, suggests that deficits in basic numerical processing and spatial skills also constitute potential risk factors of math anxiety. Given these observations, we determined whether math anxiety also depends on the quality of spatial-numerical associations. Behavioral evidence for a tight link between numerical and spatial representations is given by the SNARC (spatial-numerical association of response codes) effect, characterized by faster left-/right-sided responses for small/large digits respectively in binary classification tasks. We compared the strength of the SNARC effect between high and low math anxious individuals using the classical parity judgment task in addition to evaluating their spatial skills, arithmetic performance, working memory and inhibitory control. Greater math anxiety was significantly associated with stronger spatio-numerical interactions. This finding adds to the recent evidence supporting a link between math anxiety and basic numerical abilities and strengthens the idea that certain characteristics of low-level number processing such as stronger number–space associations constitute a potential risk factor of math anxiety. PMID:27683570
Occupations and the Printed Word: A Workbook.
ERIC Educational Resources Information Center
Educational Testing Service, Princeton, NJ. Policy Information Center.
One of the problems common to efforts to set skill standards for various occupations is deciding on the facility needed for dealing with the printed word. A similar problem faces those trying to define "workplace literacy." This workbook brings together resources to make them available to those who are trying to deal with this education issue. The…
Undurraga, Eduardo A.; Behrman, Jere R.; Grigorenko, Elena L.; Schultz, Alan; Yiu, Julie; Godoy, Ricardo A.
2013-01-01
Research in industrial nations suggests that formal math skills are associated with improvements in market and non-market outcomes. But do these associations also hold in a highly autarkic setting with a limited formal labor market? We examined this question using observational annual panel data (2008 and 2009) from 1,121 adults in a native Amazonian society of forager-farmers in Bolivia (Tsimane’). Formal math skills were associated with an increase in wealth in durable market goods and in total wealth between data collection rounds, and with improved indicators of own reported perceived stress and child health. These associations did not vary significantly by people’s Spanish skills or proximity to town. We conclude that the positive association between math skills and market and non-market outcomes extends beyond industrial nations to even highly autarkic settings. PMID:24327793
ERIC Educational Resources Information Center
Teubner-Rhodes, Louise A.
This study deals with word retrieval problems of aphasic patients. This word-finding difficulty is a common characteristic of aphasics and many methods have been used by aphasia clinicians to attempt to remediate word retrieval skills. Cueing, one of the methods used, presumably facilitates word-finding by supplying additional information to the…
Predicting Math Outcomes: Reading Predictors and Comorbidity
ERIC Educational Resources Information Center
Fletcher, Jack M.
2005-01-01
This commentary addresses issues concerning (a) the measurement of numbers, letters, and words versus cognitive processes in early screening batteries, and (b) comorbid associations of reading, math, and attention disorders. Based on reading prediction studies, assessments that include numbers should be most predictive of math outcomes. However,…
NASA Astrophysics Data System (ADS)
Gordon, E. S.
2011-12-01
Fitchburg State University has a diverse student population comprised largely of students traditionally underrepresented in higher education, including first-generation, low-income, and/or students with disabilities. Approximately half of our incoming students require developmental math coursework, but often enroll in science classes prior to completing those courses. Since our introductory geoscience courses (Oceanography, Meteorology, Geology, Earth Systems Science) do not have prerequisites, many students who take them lack basic math skills, but are taking these courses alongside science majors. In order to provide supplemental math instruction without sacrificing time for content, "The Math You Need, When You Need It (TMYN), a set of online math tutorials placed in a geoscience context, will be implemented in three of our introductory courses (Oceanography, Meteorology, and Earth Systems Science) during Fall, 2011. Students will complete 5-6 modules asynchronously, the topics of which include graphing skills, calculating rates, unit conversions, and rearranging equations. Assessment of quantitative skills will be tracked with students' pre- and post-test results, as well as individual module quiz scores. In addition, student assessment results from Oceanography will be compared to student data from Academic Year 2010-11, during which quantitative skills were evaluated with pre- and post-test questions, but students did not receive online supplemental instruction.
Assessment Test Scores of Incoming Students, Fall 2001.
ERIC Educational Resources Information Center
Negron, Maggie; Breindel, Matthew
This assessment of placement test scores in reading, math, and sentence skills from incoming students at College of the Desert (California) shows that students are overwhelmingly underprepared for study at the college. Only 15% of students were prepared in sentence skills, 27% in reading skills, 7% in math skills; only 3% were prepared in all 3…
How Effective Are Community College Remedial Math Courses for Students with the Lowest Math Skills?
ERIC Educational Resources Information Center
Xu, Di; Dadgar, Mina
2018-01-01
Objective: This article examines the effectiveness of remediation for community college students who are identified as having the lowest skills in math. Method: We use transcript data from a state community college system and take advantage of a regression discontinuity design that compares statistically identical students who are assigned to the…
Reliability and Validity of the Math Essential Skill Screener Elementary Version (MESS-E).
ERIC Educational Resources Information Center
Erford, Bradley T.; Bagley, Donna L.; Hopper, James A.; Lee, Ramona M.; Panagopulos, Kathleen A.; Preller, Denise B.
1998-01-01
The Math Essential Skill Screener Elementary Version (MESS-E) is a screener devised to identify primary grade students at risk for math difficulties. Item analysis, interitem consistency, test-retest reliability, decision efficiency, and construct validity of the MESS-E were studied using four independent samples of boys and girls grades 1-3. The…
Mission Engineering Competencies Technical Report
2018-04-30
generate a mission capability. Note that foundational skills – e.g. math , natural or social sciences, general engineering skills - are not listed in...basic understanding of math , sciences, and the fundamentals of engineering are assumed, the foundational building block for mission...April 30, 2018 69 The Helix model focuses on 6 proficiency areas (Hutchison et al. 2018): 1. Math /Science/General
Bars, Lines, & Pies: A Graphing Skills Program. Expect the Unexpected with Math[R
ERIC Educational Resources Information Center
Actuarial Foundation, 2013
2013-01-01
"Bars, Lines, & Pies" is a dynamic math program designed to build graphing skills in students, while also showing them the relevance of math in their lives. Developed by The Actuarial Foundation along with Scholastic, the graphing lessons and activities involve engaging, real-world examples about the environment and recycling. In these lessons,…
Communication Skills for OMRDD Direct Care Workers: Distance Learning Study Guide.
ERIC Educational Resources Information Center
Denny, Verna Haskins
This self-directed, self-paced adult distance education program provides developmental aides and transitional employees with practice in job-related reading, writing, math, and problem solving. Participants use e-mail, print materials, and videotapes to do assignments. An introductory brochure precedes materials for 12 theme areas and 105 units…
Integrating Learner-Driven and Organization-Driven Agendas: A Workplace Study.
ERIC Educational Resources Information Center
Lessard, Richard
For the past 4 years, Alpena Community College (ACC) in Michigan has been involved in the Workplace Partnership Project (WPP), a federally funded program which brings basic skills classes into the worksite to help upgrade employees' math, reading, writing, problem-solving, and science knowledge. The college works with partner companies to help…
ERIC Educational Resources Information Center
Zhang, Dake; Ding, Yi; Stegall, Joanna; Mo, Lei
2012-01-01
Students who struggle with learning mathematics often have difficulties with geometry problem solving, which requires strong visual imagery skills. These difficulties have been correlated with deficiencies in visual working memory. Cognitive psychology has shown that chunking of visual items accommodates students' working memory deficits. This…
Self-Regulated Learning of Basic Arithmetic Skills: A Longitudinal Study
ERIC Educational Resources Information Center
Throndsen, Inger
2011-01-01
Background: Several studies have examined young primary school children's use of strategies when solving simple addition and subtraction problems. Most of these studies have investigated students' strategy use as if they were isolated processes. To date, we have little knowledge about how math strategies in young students are related to other…
ERIC Educational Resources Information Center
Karahan, Engin; Canbazoglu Bilici, Sedef; Unal, Aycin
2015-01-01
Problem Statement: Science, technology, engineering and mathematics (STEM) education aims at improving students' knowledge and skills in science and math, and thus their attitudes and career choices in these areas. The ultimate goal in STEM education is to create scientifically literate individuals who can survive in the global economy. The…
ERIC Educational Resources Information Center
Sanford Public Schools, ME.
A joint enterprise by Sanford Public Schools of Sanford, Maine, and five partners established and operated a program of literacy, math, and reasoning/problem-solving skills instruction and support services at five work sites. The business partners were Sprague Electric Company; The Baker Company; Jagger Brothers, Inc.; Greenwood Center; and…
Using Guided Participation to Support Young Children's Social Development
ERIC Educational Resources Information Center
Petty, Karen
2009-01-01
Families and teachers spend countless hours supporting preschoolers and primary age children in the development of mental tools like focus, memory, and other problem-solving skills that help children think better, pay attention, and remember what they have experienced. Children use these tools to succeed in reading, writing, math, science, and…
Mathematical Instructional Practices and Self-Efficacy of Kindergarten Teachers
ERIC Educational Resources Information Center
Schillinger, Tammy
2016-01-01
A local urban school district recently reported that 86% of third graders did not demonstrate proficiency on the Math Standardized Test, which challenges students to solve problems and justify solutions. It is beneficial if these skills are developed prior to third grade. Students may be more academically successful if kindergarten teachers have…
ERIC Educational Resources Information Center
Hannemann, Jim; Rice, Thomas R.
1991-01-01
At the Oakland Technical Center, which provides vocational programs for nine Michigan high schools, a one-semester course in Foundations of Technology Systems uses a computer-simulated manufacturing environment to teach applied math, science, language arts, communication skills, problem solving, and teamwork in the context of technology education.…
Flanagan, K M; Einarson, J
2017-01-01
In a world filled with big data, mathematical models, and statistics, the development of strong quantitative skills is becoming increasingly critical for modern biologists. Teachers in this field must understand how students acquire quantitative skills and explore barriers experienced by students when developing these skills. In this study, we examine the interrelationships among gender, grit, and math confidence for student performance on a pre-post quantitative skills assessment and overall performance in an undergraduate biology course. Here, we show that females significantly underperformed relative to males on a quantitative skills assessment at the start of term. However, females showed significantly higher gains over the semester, such that the gender gap in performance was nearly eliminated by the end of the semester. Math confidence plays an important role in the performance on both the pre and post quantitative skills assessments and overall performance in the course. The effect of grit on student performance, however, is mediated by a student's math confidence; as math confidence increases, the positive effect of grit decreases. Consequently, the positive impact of a student's grittiness is observed most strongly for those students with low math confidence. We also found grit to be positively associated with the midterm score and the final grade in the course. Given the relationships established in this study among gender, grit, and math confidence, we provide "instructor actions" from the literature that can be applied in the classroom to promote the development of quantitative skills in light of our findings. © 2017 K. M. Flanagan and J. Einarson. CBE—Life Sciences Education © 2017 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
Reading Improvement in the Secondary School.
ERIC Educational Resources Information Center
Dechant, Emerald
This book, a comprehensive statement about the reading problems of adolescent students, relates the principles of learning and learning theory to the teaching of reading. Using a linguistic orientation, the author guides the teacher through the procedure for developing word recognition skills, comprehension skills, content-area reading skills, and…
ERIC Educational Resources Information Center
Leh, Jayne
2011-01-01
Substantial evidence indicates that teacher-delivered schema-based instruction (SBI) facilitates significant increases in mathematics word problem solving (WPS) skills for diverse students; however research is unclear whether technology affordances facilitate superior gains in computer-mediated (CM) instruction in mathematics WPS when compared to…
ERIC Educational Resources Information Center
Van Dooren, Wim; De Bock, Dirk; Verschaffel, Lieven
2010-01-01
This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value…
Fragile X-Associated Tremor/Ataxia Syndrome (FXTAS)
... decline, including short-term memory loss, loss of math or spelling skills, difficulty making decisions, and other ... personality changes. Cognitive decline—loss of skills including math, reading, etc. Impotence, loss of bladder or bowel ...
Math Anxiety in Second and Third Graders and Its Relation to Mathematics Achievement
Wu, Sarah S.; Barth, Maria; Amin, Hitha; Malcarne, Vanessa; Menon, Vinod
2012-01-01
Although the detrimental effects of math anxiety in adults are well understood, few studies have examined how it affects younger children who are beginning to learn math in a formal academic setting. Here, we examine the relationship between math anxiety and math achievement in second and third graders. In response to the need for a grade-appropriate measure of assessing math anxiety in this group we first describe the development of Scale for Early Mathematics Anxiety (SEMA), a new measure for assessing math anxiety in second and third graders that is based on the Math Anxiety Rating Scale. We demonstrate the construct validity and reliability of the SEMA and use it to characterize the effect of math anxiety on standardized measures of math abilities, as assessed using the Mathematical Reasoning and Numerical Operations subtests of the Wechsler Individual Achievement Test (WIAT-II). Math achievement, as measured by the WIAT-II Math Composite score, was significantly and negatively correlated with SEMA but not with trait anxiety scores. Additional analyses showed that SEMA scores were strongly correlated with Mathematical Reasoning scores, which involves more complex verbal problem solving. SEMA scores were weakly correlated with Numerical Operations which assesses basic computation skills, suggesting that math anxiety has a pronounced effect on more demanding calculations. We also found that math anxiety has an equally detrimental impact on math achievement regardless of whether children have an anxiety related to numbers or to the situational and social experience of doing math. Critically, these effects were unrelated to trait anxiety, providing the first evidence that the specific effects of math anxiety can be detected in the earliest stages of formal math learning in school. Our findings provide new insights into the developmental origins of math anxiety, and further underscore the need to remediate math anxiety and its deleterious effects on math achievement in young children. PMID:22701105
Math anxiety in second and third graders and its relation to mathematics achievement.
Wu, Sarah S; Barth, Maria; Amin, Hitha; Malcarne, Vanessa; Menon, Vinod
2012-01-01
Although the detrimental effects of math anxiety in adults are well understood, few studies have examined how it affects younger children who are beginning to learn math in a formal academic setting. Here, we examine the relationship between math anxiety and math achievement in second and third graders. In response to the need for a grade-appropriate measure of assessing math anxiety in this group we first describe the development of Scale for Early Mathematics Anxiety (SEMA), a new measure for assessing math anxiety in second and third graders that is based on the Math Anxiety Rating Scale. We demonstrate the construct validity and reliability of the SEMA and use it to characterize the effect of math anxiety on standardized measures of math abilities, as assessed using the Mathematical Reasoning and Numerical Operations subtests of the Wechsler Individual Achievement Test (WIAT-II). Math achievement, as measured by the WIAT-II Math Composite score, was significantly and negatively correlated with SEMA but not with trait anxiety scores. Additional analyses showed that SEMA scores were strongly correlated with Mathematical Reasoning scores, which involves more complex verbal problem solving. SEMA scores were weakly correlated with Numerical Operations which assesses basic computation skills, suggesting that math anxiety has a pronounced effect on more demanding calculations. We also found that math anxiety has an equally detrimental impact on math achievement regardless of whether children have an anxiety related to numbers or to the situational and social experience of doing math. Critically, these effects were unrelated to trait anxiety, providing the first evidence that the specific effects of math anxiety can be detected in the earliest stages of formal math learning in school. Our findings provide new insights into the developmental origins of math anxiety, and further underscore the need to remediate math anxiety and its deleterious effects on math achievement in young children.
All Students Need Advanced Mathematics. Math Works
ERIC Educational Resources Information Center
Achieve, Inc., 2013
2013-01-01
This fact sheet explains that to thrive in today's world, all students will need to graduate with very strong math skills. That can only mean one thing: advanced math courses are now essential math courses. Highlights of this paper include: (1) Advanced math equals college success; (2) Advanced math equals career opportunity; and (3) Advanced math…
Elementary Students' Acquisition of Academic Vocabulary Through Engineering Design
NASA Astrophysics Data System (ADS)
Kugelmass, Rachel
This study examines how STEM (science, technology, engineering, and mathematics) inquiry-based learning through a hands-on engineering design can be beneficial in helping students acquire academic vocabulary. This research took place in a second grade dual- language classroom in a public, suburban elementary school. English language learners, students who speak Spanish at home, and native English speakers were evaluated in this study. Each day, students were presented with a general academic vocabulary focus word during an engineering design challenge. Vocabulary pre-tests and post-tests as well as observation field notes were used to evaluate the student's growth in reading and defining the focus academic vocabulary words. A quiz and KSB (knowledge and skill builder) packet were used to evaluate students' knowledge of science and math content and engineering design. The results of this study indicate that engineering design is an effective means for teaching academic vocabulary to students with varying levels of English proficiency.
Predictive model for early math skills based on structural equations.
Aragón, Estíbaliz; Navarro, José I; Aguilar, Manuel; Cerda, Gamal; García-Sedeño, Manuel
2016-12-01
Early math skills are determined by higher cognitive processes that are particularly important for acquiring and developing skills during a child's early education. Such processes could be a critical target for identifying students at risk for math learning difficulties. Few studies have considered the use of a structural equation method to rationalize these relations. Participating in this study were 207 preschool students ages 59 to 72 months, 108 boys and 99 girls. Performance with respect to early math skills, early literacy, general intelligence, working memory, and short-term memory was assessed. A structural equation model explaining 64.3% of the variance in early math skills was applied. Early literacy exhibited the highest statistical significance (β = 0.443, p < 0.05), followed by intelligence (β = 0.286, p < 0.05), working memory (β = 0.220, p < 0.05), and short-term memory (β = 0.213, p < 0.05). Correlations between the independent variables were also significant (p < 0.05). According to the results, cognitive variables should be included in remedial intervention programs. © 2016 Scandinavian Psychological Associations and John Wiley & Sons Ltd.
Träff, Ulf; Olsson, Linda; Skagerlund, Kenny; Östergren, Rickard
2018-03-01
A modified pathways to mathematics model was used to examine the cognitive mechanisms underlying arithmetic skills in third graders. A total of 269 children were assessed on tasks tapping the four pathways and arithmetic skills. A path analysis showed that symbolic number processing was directly supported by the linguistic and approximate quantitative pathways. The direct contribution from the four pathways to arithmetic proficiency varied; the linguistic pathway supported single-digit arithmetic and word problem solving, whereas the approximate quantitative pathway supported only multi-digit calculation. The spatial processing and verbal working memory pathways supported only arithmetic word problem solving. The notion of hierarchical levels of arithmetic was supported by the results, and the different levels were supported by different constellations of pathways. However, the strongest support to the hierarchical levels of arithmetic were provided by the proximal arithmetic skills. Copyright © 2017 Elsevier Inc. All rights reserved.
User's Manual for the Basic Math Mastery Tests.
ERIC Educational Resources Information Center
Weiss, David J.; Trombley, Robert J.
This user manual introduces and explains the Basic Math Mastery Tests (BMMT), a collection of 10 tests of specific mathematics skills. The tests were designed to assess mastery of specific skills required for successful performance in vocational education or in occupations requiring mathematics skills. All 10 tests are administered and scored by…
RE-NUMERATE: A Workshop to Restore Essential Numerical Skills and Thinking via Astronomy Education
NASA Astrophysics Data System (ADS)
McCarthy, D.; Follette, K.
2013-04-01
The quality of science teaching for all ages is degraded by our students' gross lack of skills in elementary arithmetic and their unwillingness to think, and to express themselves, numerically. Out of frustration educators, and science communicators, often choose to avoid these problems, thereby reinforcing the belief that math is only needed in “math class” and preventing students from maturing into capable, well informed citizens. In this sense we teach students a pseudo science, not its real nature, beauty, and value. This workshop encourages and equips educators to immerse students in numerical thinking throughout a science course. The workshop begins by identifying common deficiencies in skills and attitudes among non-science collegians (freshman-senior) enrolled in General Education astronomy courses. The bulk of the workshop engages participants in well-tested techniques (e.g., presentation methods, curriculum, activities, mentoring approaches, etc.) for improving students' arithmetic skills, increasing their confidence, and improving their abilities in numerical expression. These techniques are grounded in 25+ years of experience in college classrooms and pre-college informal education. They are suited for use in classrooms (K-12 and college), informal venues, and science communication in general and could be applied across the standard school curriculum.
ERIC Educational Resources Information Center
Harris, Carolyn DeMeyer; And Others
The project designed and developed a videodisc package that provides both assessment and related instruction programs for job-related mathematics problem solving, using simulations to provide direct access to vocational situations. The materials are intended to meet the needs of youth and young adults with mild mental handicaps in transition from…
ERIC Educational Resources Information Center
Feldhusen, John; And Others
A description of open and individualized elementary school instruction is provided. The goals of such instruction are to: 1) teach basic skills in language arts, math, science, and social studies; 2) develop higher cognitive abilities, such as problem solving; and 3) develop the child's social competence and self-concept. Open, individualized…
The Sky's the Limit! With Math and Science. Aerodynamics. Book 2.
ERIC Educational Resources Information Center
Wiebe, Arthur, Ed.; And Others
Developed for use primarily with students of grades five through nine, the activities presented in this book provide teachers and students with opportunities of exploring the science of aerodynamics. The activities are designed so that students can practice and apply the 22 skills and concepts related to flight in problem-solving situations. Each…
Elementary Acid Rain Kit, Interdisciplinary, Grades 4-8.
ERIC Educational Resources Information Center
Stubbs, Harriett S.; And Others
An interdisciplinary approach for teaching about acid rain is offered in this curriculum guide for teachers of grades 4-8. Skill and concept areas of science, math, social studies, art, and the language arts are developed in 12 activities which focus on the acid rain problems. A matrix of the activities and subject areas indicates the coverage…
Co-Measure: Developing an Assessment for Student Collaboration in STEAM Activities
ERIC Educational Resources Information Center
Herro, Danielle; Quigley, Cassie; Andrews, Jessica; Delacruz, Girlie
2017-01-01
Background: The shortage of skilled workers choosing STEM (Science, Technology, Engineering, and Math) careers in the USA and worldwide has fueled a movement towards STEAM, in which the "A" addresses the arts and humanities. STEAM education has been proposed as a way to offer relevant problems to solve while drawing on creative and…
Aviation. Fifth Grade. Anchorage School District Elementary Science Program.
ERIC Educational Resources Information Center
Defendorf, Jean, Ed.
This unit of study is designed to teach the science of flight to students in the intermediate grades. Included are a list of materials for the unit, a discussion of the use of process skills, a list of unit objectives, vocabulary, teacher background information, 12 lessons, 5 quizzes, math problems, and a unit test. Lessons are oriented toward…
Sheriff, Kelli A; Boon, Richard T
2014-08-01
The purpose of this study was to examine the effects of computer-based graphic organizers, using Kidspiration 3© software, to solve one-step word problems. Participants included three students with mild intellectual disability enrolled in a functional academic skills curriculum in a self-contained classroom. A multiple probe single-subject research design (Horner & Baer, 1978) was used to evaluate the effectiveness of computer-based graphic organizers to solving mathematical one-step word problems. During the baseline phase, the students completed a teacher-generated worksheet that consisted of nine functional word problems in a traditional format using a pencil, paper, and a calculator. In the intervention and maintenance phases, the students were instructed to complete the word problems using a computer-based graphic organizer. Results indicated that all three of the students improved in their ability to solve the one-step word problems using computer-based graphic organizers compared to traditional instructional practices. Limitations of the study and recommendations for future research directions are discussed. Copyright © 2014 Elsevier Ltd. All rights reserved.
A Longitudinal Analysis of Sex Differences in Math and Spatial Skills in Primary School Age Children
ERIC Educational Resources Information Center
Lachance, Jennifer A.; Mazzocco, Michele M. M.
2006-01-01
We report on a longitudinal study designed to assess possible sex differences in math achievement, math ability, and math-related tasks during the primary school age years. Participants included over 200 children from one public school district. Annual assessments included measures of math ability, math calculation achievement scores, rapid naming…
Ramirez, Gerardo; Chang, Hyesang; Maloney, Erin A; Levine, Susan C; Beilock, Sian L
2016-01-01
Even at young ages, children self-report experiencing math anxiety, which negatively relates to their math achievement. Leveraging a large dataset of first and second grade students' math achievement scores, math problem solving strategies, and math attitudes, we explored the possibility that children's math anxiety (i.e., a fear or apprehension about math) negatively relates to their use of more advanced problem solving strategies, which in turn relates to their math achievement. Our results confirm our hypothesis and, moreover, demonstrate that the relation between math anxiety and math problem solving strategies is strongest in children with the highest working memory capacity. Ironically, children who have the highest cognitive capacity avoid using advanced problem solving strategies when they are high in math anxiety and, as a result, underperform in math compared with their lower working memory peers. Copyright © 2015 Elsevier Inc. All rights reserved.
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Schumacher, Robin F.; Long, Jessica; Namkung, Jessica; Malone, Amelia S.; Wang, Amber; Hamlett, Carol L.; Jordan, Nancy C.; Siegler, Robert S.; Changas, Paul
2016-01-01
The purposes of this study were to (a) investigate the efficacy of a core fraction intervention program on understanding and calculation skill and (b) isolate the effects of different forms of fraction word-problem (WP) intervention delivered as part of the larger program. At-risk 4th graders (n = 213) were randomly assigned at the individual…
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Schumacher, Robin F.; Long, Jessica; Namkung, Jessica; Malone, Amelia S.; Wang, Amber; Hamlett, Carol L.; Jordan, Nancy C.; Siegler, Robert S.; Changas, Paul
2016-01-01
The purposes of this study were to (a) investigate the efficacy of a core fraction intervention program on understanding and calculation skill and (b) isolate the effects of different forms of fraction word-problem (WP) intervention. At-risk fourth graders (n = 213) were randomly assigned to the school's business-as-usual program, or one of two…
School Climate, Teacher-Child Closeness, and Low-Income Children’s Academic Skills in Kindergarten
Lowenstein, Amy E.; Friedman-Krauss, Allison H.; Raver, C. Cybele; Jones, Stephanie M.; Pess, Rachel A.
2015-01-01
In this study we used data on a sample of children in the Chicago Public Schools in areas of concentrated poverty-related disadvantage to examine associations between school climate and low-income children’s language/literacy and math skills during the transition to kindergarten. We also explored whether teacher-child closeness moderated these associations. Multilevel modeling analyses conducted using a sample of 242 children nested in 102 elementary schools revealed that low adult support in the school was significantly associated with children’s poorer language/literacy and math skills in kindergarten. Teacher-child closeness predicted children’s higher language/literacy and math scores and moderated the association between low adult support and children’s academic skills. Among children who were high on closeness with their teacher, those in schools with high levels of adult support showed stronger language/literacy and math skills. There were no significant associations between adult support and the academic skills of children with medium or low levels of teacher-child closeness. Results shed light on the importance of adult support at both school and classroom levels in promoting low-income children’s academic skills during the transition to kindergarten. PMID:26925186
ERIC Educational Resources Information Center
Ruff, Sarah E.; Boes, Susan R.
2014-01-01
Low math achievement is a recurring weakness in many students. Math anxiety is a persistent and significant theme to math avoidance and low achievement. Causes for math anxiety include social, cognitive, and academic factors. Interventions to reduce math anxiety are limited as they exclude the expert skills of professional school counselors to…
ERIC Educational Resources Information Center
Costa, Hugo Camara; Perdry, Herve; Soria, Carmen; Pulgar, Salome; Cusin, Francoise; Dellatolas, Georges
2013-01-01
This study examined the relation between emergent literacy skills, teachers' reports of behavioral problems, and word reading achievement in a community sample of French students. Family background was investigated and included familial antecedents of reading difficulties (Fa/Rd) and parents' educational level. The analyses explored the pattern of…
ERIC Educational Resources Information Center
Stone, James R., III; Alfeld, Corinne; Pearson, Donna
2008-01-01
Numerous high school students, including many who are enrolled in career and technical education (CTE) courses, do not have the math skills necessary for today's high-skill workplace or college entrance requirements. This study tests a model for enhancing mathematics instruction in five high school CTE programs (agriculture, auto technology,…
Case Studies of a Robot-Based Game to Shape Interests and Hone Proportional Reasoning Skills
ERIC Educational Resources Information Center
Alfieri, Louis; Higashi, Ross; Shoop, Robin; Schunn, Christian D.
2015-01-01
Background: Robot-math is a term used to describe mathematics instruction centered on engineering, particularly robotics. This type of instruction seeks first to make the mathematics skills useful for robotics-centered challenges, and then to help students extend (transfer) those skills. A robot-math intervention was designed to target the…
ERIC Educational Resources Information Center
Solomon, Pearl Gold
2007-01-01
In a new edition of her standards-based math workbook, author Pearl Gold Solomon covers essential concepts and skills as defined by the National Council of Teachers of Mathematics for learners in middle schools. Designed as a comprehensive resource for planning curriculum, instruction, and assessment, The Math We Need to Know and Do in Grades 6-9,…
Raghubar, Kimberly P.; Barnes, Marcia A.; Dennis, Maureen; Cirino, Paul T.; Taylor, Heather; Landry, Susan
2015-01-01
Objective Math and attention are related in neurobiological and behavioral models of mathematical cognition. This study employed model-driven assessments of attention and math in children with spina bifida myelomeningocele (SBM), who have known math difficulties and specific attentional deficits, to more directly examine putative relations between attention and mathematical processing. The relation of other domain general abilities and math was also investigated. Method Participants were 9.5-year-old children with SBM (N = 44) and typically developing children (N = 50). Participants were administered experimental exact and approximate arithmetic tasks, and standardized measures of math fluency and calculation. Cognitive measures included the Attention Network Test (ANT), and standardized measures of fine motor skills, verbal working memory (WM), and visual-spatial WM. Results Children with SBM performed similarly to peers on exact arithmetic but more poorly on approximate and standardized arithmetic measures. On the ANT, children with SBM differed from controls on orienting attention but not alerting and executive attention. Multiple mediation models showed that: fine motor skills and verbal WM mediated the relation of group to approximate arithmetic; fine motor skills and visual-spatial WM mediated the relation of group to math fluency; and verbal and visual-spatial WM mediated the relation of group to math calculation. Attention was not a significant mediator of the effects of group for any aspect of math in this study. Conclusions Results are discussed with reference to models of attention, WM, and mathematical cognition. PMID:26011113
Raghubar, Kimberly P; Barnes, Marcia A; Dennis, Maureen; Cirino, Paul T; Taylor, Heather; Landry, Susan
2015-11-01
Math and attention are related in neurobiological and behavioral models of mathematical cognition. This study employed model-driven assessments of attention and math in children with spina bifida myelomeningocele (SBM), who have known math difficulties and specific attentional deficits, to more directly examine putative relations between attention and mathematical processing. The relation of other domain general abilities and math was also investigated. Participants were 9.5-year-old children with SBM (n = 44) and typically developing children (n = 50). Participants were administered experimental exact and approximate arithmetic tasks, and standardized measures of math fluency and calculation. Cognitive measures included the Attention Network Test (ANT), and standardized measures of fine motor skills, verbal working memory (WM), and visual-spatial WM. Children with SBM performed similarly to peers on exact arithmetic, but more poorly on approximate and standardized arithmetic measures. On the ANT, children with SBM differed from controls on orienting attention, but not on alerting and executive attention. Multiple mediation models showed that fine motor skills and verbal WM mediated the relation of group to approximate arithmetic; fine motor skills and visual-spatial WM mediated the relation of group to math fluency; and verbal and visual-spatial WM mediated the relation of group to math calculation. Attention was not a significant mediator of the effects of group for any aspect of math in this study. Results are discussed with reference to models of attention, WM, and mathematical cognition. (c) 2015 APA, all rights reserved).
1982 Maths Investigation: Technical Report. Mt. Druitt Longitudinal Study.
ERIC Educational Resources Information Center
Houghton, Karen; Low, Brian
Aims of this phase of a longitudinal mathematics achievement investigation were to (1) detect individual and group differences in math achievement among a sample of fourth-year children, (2) monitor changes in math skills since a 1981 math investigation, and (3) identify limits of children's understanding of mathematical concepts. (The math test…
Morsanyi, Kinga; Devine, Amy; Nobes, Alison; Szűcs, Dénes
2013-07-01
This study examined performance on transitive inference problems in children with developmental dyscalculia (DD), typically developing controls matched on IQ, working memory and reading skills, and in children with outstanding mathematical abilities. Whereas mainstream approaches currently consider DD as a domain-specific deficit, we hypothesized that the development of mathematical skills is closely related to the development of logical abilities, a domain-general skill. In particular, we expected a close link between mathematical skills and the ability to reason independently of one's beliefs. Our results showed that this was indeed the case, with children with DD performing more poorly than controls, and high maths ability children showing outstanding skills in logical reasoning about belief-laden problems. Nevertheless, all groups performed poorly on structurally equivalent problems with belief-neutral content. This is in line with suggestions that abstract reasoning skills (i.e. the ability to reason about content without real-life referents) develops later than the ability to reason about belief-inconsistent fantasy content.A video abstract of this article can be viewed at http://www.youtube.com/watch?v=90DWY3O4xx8. © 2013 Blackwell Publishing Ltd.
Designing Studies to Test Causal Questions About Early Math: The Development of Making Pre-K Count.
Mattera, Shira K; Morris, Pamela A; Jacob, Robin; Maier, Michelle; Rojas, Natalia
2017-01-01
A growing literature has demonstrated that early math skills are associated with later outcomes for children. This research has generated interest in improving children's early math competencies as a pathway to improved outcomes for children in elementary school. The Making Pre-K Count study was designed to test the effects of an early math intervention for preschoolers. Its design was unique in that, in addition to causally testing the effects of early math skills, it also allowed for the examination of a number of additional questions about scale-up, the influence of contextual factors and the counterfactual environment, the mechanism of long-term fade-out, and the role of measurement in early childhood intervention findings. This chapter outlines some of the design considerations and decisions put in place to create a rigorous test of the causal effects of early math skills that is also able to answer these questions in early childhood mathematics and intervention. The study serves as a potential model for how to advance science in the fields of preschool intervention and early mathematics. © 2017 Elsevier Inc. All rights reserved.
ERIC Educational Resources Information Center
Newton, Lawrence R.
This project (1) identifies basic and functional mathematics skills (shop mathematics skills), (2) provides pretests on these functional mathematics skills, and (3) provides student learning projects (project sheets) that prepare metal trades students to read, understand, and apply mathematics and measuring skills that meet entry-level job…
Kelly, Y; Iacovou, M; Quigley, MA; Gray, R; Wolke, D; Kelly, J; Sacker, A
2013-01-01
Objective To assess whether light drinking in pregnancy is linked to unfavourable developmental outcomes in children. Design Prospective population-based cohort. Setting UK. Population Ten thousand five hundred and thirty-four 7-year-olds. Methods Quasi-experimental using propensity score matching (PSM) to compare children born to light (up to 2 units per week) and non-drinkers. Main outcome measures Behavioural difficulties rated by parents and teachers; cognitive test scores for reading, maths and spatial skills. Results Ordinary least squares (OLS) regression and PSM analyses are presented. For behavioural difficulties, unadjusted estimates for percentage standard deviation (SD) score differences ranged from 2 to 14%. On adjustment for potential confounders, differences were attenuated, with a loss of statistical significance, except for teacher-rated boys' difficulties. For boys, parent-rated behavioural difficulties: unadjusted, −11.5; OLS, −4.3; PSM, −6.8; teacher-rated behavioural difficulties: unadjusted, −13.9; OLS, −9.6; PSM, −10.8. For girls, parent-rated behavioural difficulties: unadjusted, −9.6; OLS, −2.9; PSM, −4.5; teacher-rated behavioural difficulties: unadjusted, −2.4; OLS, 4.9; PSM, 3.9. For cognitive test scores, unadjusted estimates for differences ranged between 12 and 21% of an SD score for reading, maths and spatial skills. After adjustment for potential confounders, estimates were reduced, but remained statistically significantly different for reading and for spatial skills in boys. For boys, reading: unadjusted, 20.9; OLS, 8.3; PSM, 7.3; maths: unadjusted, 14.7; OLS, 5.0; PSM, 6.5; spatial skills: unadjusted, 16.2; OLS, 7.6; PSM, 8.1. For girls, reading: unadjusted, 11.6; OLS, −0.3; PSM, −0.5; maths: unadjusted, 12.9; OLS, 4.3; PSM, 3.9; spatial skills: unadjusted, 16.2; OLS, 7.7; PSM, 6.4. Conclusion The findings suggest that light drinking during pregnancy is not linked to developmental problems in mid-childhood. These findings support current UK Department of Health guidelines on drinking during pregnancy. PMID:23590126
Kelly, Y; Iacovou, M; Quigley, M A; Gray, R; Wolke, D; Kelly, J; Sacker, A
2013-10-01
To assess whether light drinking in pregnancy is linked to unfavourable developmental outcomes in children. Prospective population-based cohort. UK. Ten thousand five hundred and thirty-four 7-year-olds. Quasi-experimental using propensity score matching (PSM) to compare children born to light (up to 2 units per week) and non-drinkers. Behavioural difficulties rated by parents and teachers; cognitive test scores for reading, maths and spatial skills. Ordinary least squares (OLS) regression and PSM analyses are presented. For behavioural difficulties, unadjusted estimates for percentage standard deviation (SD) score differences ranged from 2 to 14%. On adjustment for potential confounders, differences were attenuated, with a loss of statistical significance, except for teacher-rated boys' difficulties. For boys, parent-rated behavioural difficulties: unadjusted, -11.5; OLS, -4.3; PSM, -6.8; teacher-rated behavioural difficulties: unadjusted, -13.9; OLS, -9.6; PSM, -10.8. For girls, parent-rated behavioural difficulties: unadjusted, -9.6; OLS, -2.9; PSM, -4.5; teacher-rated behavioural difficulties: unadjusted, -2.4; OLS, 4.9; PSM, 3.9. For cognitive test scores, unadjusted estimates for differences ranged between 12 and 21% of an SD score for reading, maths and spatial skills. After adjustment for potential confounders, estimates were reduced, but remained statistically significantly different for reading and for spatial skills in boys. For boys, reading: unadjusted, 20.9; OLS, 8.3; PSM, 7.3; maths: unadjusted, 14.7; OLS, 5.0; PSM, 6.5; spatial skills: unadjusted, 16.2; OLS, 7.6; PSM, 8.1. For girls, reading: unadjusted, 11.6; OLS, -0.3; PSM, -0.5; maths: unadjusted, 12.9; OLS, 4.3; PSM, 3.9; spatial skills: unadjusted, 16.2; OLS, 7.7; PSM, 6.4. The findings suggest that light drinking during pregnancy is not linked to developmental problems in mid-childhood. These findings support current UK Department of Health guidelines on drinking during pregnancy. © 2013 The Authors BJOG An International Journal of Obstetrics and Gynaecology © 2013 RCOG.
Making Basic Math Skills Work for You in Marketing. Student Manual and Laboratory Guide.
ERIC Educational Resources Information Center
Klewer, Edwin D.
This student manual and workbook is the second part of a mathematics series for use with high school students. The manual is to be used to apply the mathematics skills that students have learned in a first part called "Developing Basic Math Skills for Marketing." The manual presents conceptual instruction in mathematics in a competency based…
ERIC Educational Resources Information Center
Redmann, Donna H.
Phase I of a study was conducted to identify the basic mathematics competencies needed for job success in office occupations (14 job clusters). It also sought to determine the differences between employees' and employer/supervisors' perceptions of the degree of importance of mathematics skills for office occupations. Following a review of…
ERIC Educational Resources Information Center
Lo, Erika
2001-01-01
Presents seven mathematics games, located on the World Wide Web, for elementary students, including: Absurd Math: Pre-Algebra from Another Dimension; The Little Animals Activity Centre; MathDork Game Room (classic video games focusing on algebra); Lemonade Stand (students practice math and business skills); Math Cats (teaches the artistic beauty…
Numeracy, Literacy and Newman's Error Analysis
ERIC Educational Resources Information Center
White, Allan Leslie
2010-01-01
Newman (1977, 1983) defined five specific literacy and numeracy skills as crucial to performance on mathematical word problems: reading, comprehension, transformation, process skills, and encoding. Newman's Error Analysis (NEA) provided a framework for considering the reasons that underlay the difficulties students experienced with mathematical…
ERIC Educational Resources Information Center
Environmental Protection Agency, Washington, DC.
This solid waste resource was designed as a flexible tool for teachers of kindergarten through sixth grade. The multidisciplinary focus includes math, science, art, social studies, language arts, and health. Lessons encourage students to utilize skills ranging from reading and writing to problem-solving and analytical thinking. This document…
ERIC Educational Resources Information Center
Treacy, Páraic; Faulkner, Fiona; Prendergast, Mark
2016-01-01
The phenomenon in which students enter university under-prepared for the mathematical demands of their undergraduate courses, regularly referred to as the 'Maths Problem', has been widely reported in Ireland, UK, Australia, and the US. This issue has been of particular concern in Ireland recently, with beginning undergraduates' performance of…
Group Solutions, Too! More Cooperative Logic Activities for Grades K-4. Teacher's Guide. LHS GEMS.
ERIC Educational Resources Information Center
Goodman, Jan M.; Kopp, Jaine
There is evidence that structured cooperative logic is an effective way to introduce or reinforce mathematics concepts, explore thinking processes basic to both math and science, and develop the important social skills of cooperative problem-solving. This book contains a number of cooperative logic activities for grades K-4 in order to improve…
ERIC Educational Resources Information Center
Strom, Mary L.
In fall 1992, the Iowa Department of Education began pilot tests of the Comprehensive Adult Student Assessment System (CASAS), an assessment system evaluating reading, math, and problem solving in a life skills context for adult remedial programs. This document provides reports from the nine community colleges that served as test sites, describing…
ERIC Educational Resources Information Center
Meloy, Linda L.; Deville, Craig; Frisbie, David
The effect of the Read Aloud accommodation on the performances of learning disabled in reading (LD-R) and non-learning disabled (non LD) middle school students was studied using selected texts from the Iowa Tests of Basic Skills (ITBS) achievement battery. Science, Usage and Expression, Math Problem Solving and Data Interpretation, and Reading…
ERIC Educational Resources Information Center
Fillmore, Jessica
2007-01-01
Amy Biehl High School (ABHS) is a charter high school located in downtown Albuquerque that serves students from Albuquerque and the surrounding communities. Despite its population's differences in skills, special needs, socioeconomic class, race, culture, and English proficiency, it has one common goal for all its students: that they are able to…
NASA Astrophysics Data System (ADS)
Baer, E. M.; Whittington, C.; Burn, H.
2008-12-01
The geological sciences are fundamentally quantitative. However, the diversity of students' mathematical preparation and skills makes the successful use of quantitative concepts difficult in introductory level classes. At Highline Community College, we have implemented a one-credit co-requisite course to give students supplemental instruction for quantitative skills used in the course. The course, formally titled "Quantitative Geology," nicknamed "MathPatch," runs parallel to our introductory Physical Geology course. MathPatch teaches the quantitative skills required for the geology class right before they are needed. Thus, students learn only the skills they need and are given opportunities to apply them immediately. Topics include complex-graph reading, unit conversions, large numbers, scientific notation, scale and measurement, estimation, powers of 10, and other fundamental mathematical concepts used in basic geological concepts. Use of this course over the past 8 years has successfully accomplished the goals of increasing students' quantitative skills, success and retention. Students master the quantitative skills to a greater extent than before the course was implemented, and less time is spent covering basic quantitative skills in the classroom. Because the course supports the use of quantitative skills, the large number of faculty that teach Geology 101 are more comfortable in using quantitative analysis, and indeed see it as an expectation of the course at Highline. Also significant, retention in the geology course has increased substantially, from 75% to 85%. Although successful, challenges persist with requiring MathPatch as a supplementary course. One, we have seen enrollments decrease in Geology 101, which may be the result of adding this co-requisite. Students resist mandatory enrollment in the course, although they are not good at evaluating their own need for the course. The logistics utilizing MathPatch in an evening class with fewer and longer class meetings has been challenging. Finally, in order to better serve our students' needs, we began to offer on-line sections of MathPatch; this mode of instruction is not as clearly effective, although it is very popular. Through the new The Math You Need project, we hope to improve the effectiveness of the on-line instruction so it can provide comparable results to the face-to-face sections of this class.
ERIC Educational Resources Information Center
Powell, Torence J.
2017-01-01
The California Community College system, as an open access institution, is tasked with helping students who possess math skills far below college-level complete math course requirements for obtaining an associate degree or transfer to a university. Colleges have created various developmental math programs to achieve this mission; this paper…
ERIC Educational Resources Information Center
Bachman, Heather J.; Votruba-Drzal, Elizabeth; El Nokali, Nermeen E.; Castle Heatly, Melissa
2015-01-01
The present study examined whether multiple opportunities to learn math were associated with smaller socioeconomic status (SES) disparities in fifth-grade math achievement using data from the NICHD Study of Early Child Care and Youth Development (SECCYD; N = 1,364). High amounts of procedural math instruction were associated with higher…
Predicting Development of Mathematical Word Problem Solving Across the Intermediate Grades
Tolar, Tammy D.; Fuchs, Lynn; Cirino, Paul T.; Fuchs, Douglas; Hamlett, Carol L.; Fletcher, Jack M.
2012-01-01
This study addressed predictors of the development of word problem solving (WPS) across the intermediate grades. At beginning of 3rd grade, 4 cohorts of students (N = 261) were measured on computation, language, nonverbal reasoning skills, and attentive behavior and were assessed 4 times from beginning of 3rd through end of 5th grade on 2 measures of WPS at low and high levels of complexity. Language skills were related to initial performance at both levels of complexity and did not predict growth at either level. Computational skills had an effect on initial performance in low- but not high-complexity problems and did not predict growth at either level of complexity. Attentive behavior did not predict initial performance but did predict growth in low-complexity, whereas it predicted initial performance but not growth for high-complexity problems. Nonverbal reasoning predicted initial performance and growth for low-complexity WPS, but only growth for high-complexity WPS. This evidence suggests that although mathematical structure is fixed, different cognitive resources may act as limiting factors in WPS development when the WPS context is varied. PMID:23325985
Wang, Ming-Te; Eccles, Jacquelynne S; Kenny, Sarah
2013-05-01
The pattern of gender differences in math and verbal ability may result in females having a wider choice of careers, in both science, technology, engineering, and mathematics (STEM) and non-STEM fields, compared with males. The current study tested whether individuals with high math and high verbal ability in 12th grade were more or less likely to choose STEM occupations than those with high math and moderate verbal ability. The 1,490 subjects participated in two waves of a national longitudinal study; one wave was when the subjects were in 12th grade, and the other was when they were 33 years old. Results revealed that mathematically capable individuals who also had high verbal skills were less likely to pursue STEM careers than were individuals who had high math skills but moderate verbal skills. One notable finding was that the group with high math and high verbal ability included more females than males.
Investigating Patterns of Errors for Specific Comprehension and Fluency Difficulties
ERIC Educational Resources Information Center
Koriakin, Taylor A.; Kaufman, Alan S.
2017-01-01
Although word reading has traditionally been viewed as a foundational skill for development of reading fluency and comprehension, some children demonstrate "specific" reading comprehension problems, in the context of intact word reading. The purpose of this study was to identify specific patterns of errors associated with reading…
Phonics training for English-speaking poor readers.
McArthur, Genevieve; Eve, Philippa M; Jones, Kristy; Banales, Erin; Kohnen, Saskia; Anandakumar, Thushara; Larsen, Linda; Marinus, Eva; Wang, Hua-Chen; Castles, Anne
2012-12-12
Around 5% of English speakers have a significant problem with learning to read words. Poor word readers are often trained to use letter-sound rules to improve their reading skills. This training is commonly called phonics. Well over 100 studies have administered some form of phonics training to poor word readers. However, there are surprisingly few systematic reviews or meta-analyses of these studies. The most well-known review was done by the National Reading Panel (Ehri 2001) 12 years ago and needs updating. The most recent review (Suggate 2010) focused solely on children and did not include unpublished studies. The primary aim of this review was to measure the effect that phonics training has on the literacy skills of English-speaking children, adolescents, and adults whose reading was at least one standard deviation (SD), one year, or one grade below the expected level, despite no reported problems that could explain their impaired ability to learn to read. A secondary objective was to explore the impact of various factors, such as length of training or training group size, that might moderate the effect of phonics training on poor word reading skills. We searched the following databases in July 2012: CENTRAL 2012 (Issue 6), MEDLINE 1948 to June week 3 2012, EMBASE 1980 to 2012 week 26, DARE 2013 (Issue 6), ERIC (1966 to current), PsycINFO (1806 to current), CINAHL (1938 to current), Science Citation Index (1970 to 29 June 2012), Social Science Citation Index (1970 to 29 June 2012), Conference Proceedings Citation Index - Science (1990 to 29 June 2012), Conference Proceedings Citation Index - Social Science & Humanities (1990 to 29 June 2012), ZETOC, Index to Theses-UK and Ireland, ClinicalTrials.gov, ICTRP, the metaRegister of Controlled Trials, ProQuest Dissertations and Theses, DART Europe E-theses Portal, Australasian Digital Theses Program, Education Research Theses, Electronic Theses Online System, Networked Digital Library of Theses and Dissertations. Theses Canada portal, www.dissertation.com, and www.thesisabstracts.com. We also contacted experts and examined the reference lists of published studies. We included studies that use randomisation, quasi-randomisation, or minimisation to allocate participants to either a phonics intervention group (phonics alone, phonics and phoneme awareness training, or phonics and irregular word reading training) or a control group (no training or alternative training, such as maths). Participants were English-speaking children, adolescents, or adults whose word reading was below the level expected for their age for no known reason (that is, they had adequate attention and no known physical, neurological, or psychological problems). Two review authors independently selected studies, assessed risk of bias, and extracted data. We found 11 studies that met the criteria for this review. They involved 736 participants. We measured the effect of phonics training on eight outcomes. The amount of evidence for each outcome varied considerably, ranging from 10 studies for word reading accuracy to one study for nonword reading fluency. The effect sizes for the outcomes were: word reading accuracy standardised mean difference (SMD) 0.47 (95% confidence interval (CI) 0.06 to 0.88; 10 studies), nonword reading accuracy SMD 0.76 (95% CI 0.25 to 1.27; eight studies), word reading fluency SMD -0.51 (95% CI -1.14 to 0.13; two studies), reading comprehension SMD 0.14 (95% CI -0.46 to 0.74; three studies), spelling SMD 0.36 (95% CI -0.27 to 1.00; two studies), letter-sound knowledge SMD 0.35 (95% CI 0.04 to 0.65; three studies), and phonological output SMD 0.38 (95% -0.04 to 0.80; four studies). There was one result in a negative direction for nonword reading fluency SMD 0.38 (95% CI -0.55 to 1.32; one study), though this was not statistically significant.We did five subgroup analyses on two outcomes that had sufficient data (word reading accuracy and nonword reading accuracy). The efficacy of phonics training was not moderated significantly by training type (phonics alone versus phonics and phoneme awareness versus phonics and irregular word training), training intensity (less than two hours per week versus at least two hours per week), training duration (less than three months versus at least three months), training group size (one-on-one versus small group training), or training administrator (human administration versus computer administration). Phonics training appears to be effective for improving some reading skills. Specifically, statistically significant effects were found for nonword reading accuracy (large effect), word reading accuracy (moderate effect), and letter-sound knowledge (small-to-moderate effect). For several other outcomes, there were small or moderate effect sizes that did not reach statistical significance but may be meaningful: word reading fluency, spelling, phonological output, and reading comprehension. The effect for nonword reading fluency, which was measured in only one study, was in a negative direction, but this was not statistically significant.Future studies of phonics training need to improve the reporting of procedures used for random sequence generation, allocation concealment, and blinding of participants, personnel, and outcome assessment.
Writing Chinese and mathematics achievement: A study with Chinese-American undergraduates
NASA Astrophysics Data System (ADS)
Li, Chieh; Nuttall, Ronald
2001-04-01
Two recent studies indicated that writing Chinese is correlated to Chinese-American (CA) students' spatial skills. The current study investigated whether writing Chinese would have the same relationship to mathematics skills. The Scholastic Assessment Test—Mathematics (SAT-Math) scores were analysed for 150 CA undergraduates: 42 writers of Chinese and 108 non-writers of Chinese. The results suggested a strong correlation between writing Chinese and success on SAT-Math. An underlying mechanism may be the common cognitive components that encompass writing Chinese, spatial tasks, and SAT-Math. Contrary to previous findings with other populations in the USA, CA females scored slightly higher on SAT-Math than males. The finding supports the cultural relativity theory of gender difference on SAT-Math.
Reading component skills in dyslexia: word recognition, comprehension and processing speed.
de Oliveira, Darlene G; da Silva, Patrícia B; Dias, Natália M; Seabra, Alessandra G; Macedo, Elizeu C
2014-01-01
The cognitive model of reading comprehension (RC) posits that RC is a result of the interaction between decoding and linguistic comprehension. Recently, the notion of decoding skill was expanded to include word recognition. In addition, some studies suggest that other skills could be integrated into this model, like processing speed, and have consistently indicated that this skill influences and is an important predictor of the main components of the model, such as vocabulary for comprehension and phonological awareness of word recognition. The following study evaluated the components of the RC model and predictive skills in children and adolescents with dyslexia. 40 children and adolescents (8-13 years) were divided in a Dyslexic Group (DG; 18 children, MA = 10.78, SD = 1.66) and control group (CG 22 children, MA = 10.59, SD = 1.86). All were students from the 2nd to 8th grade of elementary school and groups were equivalent in school grade, age, gender, and IQ. Oral and RC, word recognition, processing speed, picture naming, receptive vocabulary, and phonological awareness were assessed. There were no group differences regarding the accuracy in oral and RC, phonological awareness, naming, and vocabulary scores. DG performed worse than the CG in word recognition (general score and orthographic confusion items) and were slower in naming. Results corroborated the literature regarding word recognition and processing speed deficits in dyslexia. However, dyslexics can achieve normal scores on RC test. Data supports the importance of delimitation of different reading strategies embedded in the word recognition component. The role of processing speed in reading problems remain unclear.
Executive Functions Contribute Uniquely to Reading Competence in Minority Youth
ERIC Educational Resources Information Center
Jacobson, Lisa A.; Koriakin, Taylor; Lipkin, Paul; Boada, Richard; Frijters, Jan C.; Lovett, Maureen W.; Hill, Dina; Willcutt, Erik; Gottwald, Stephanie; Wolf, Maryanne; Bosson-Heenan, Joan; Gruen, Jeffrey R.; Mahone, E. Mark
2017-01-01
Competent reading requires various skills beyond those for basic word reading (i.e., core language skills, rapid naming, phonological processing). Contributing "higher-level" or domain-general processes include information processing speed and executive functions (working memory, strategic problem solving, attentional switching).…
Singapore Math: Problem-Solving Secrets from the World's Math Leader
ERIC Educational Resources Information Center
Hogan, Bob
2005-01-01
Using this four CD-ROM disc set, teachers can have their very own math problem solving mentor as a leading expert in Singapore Math guides them through a lively presentation, working through math problems and explaining how Singapore has become the world's leading method in math. The expert's explanation of how to use Singapore's model-drawing…
ERIC Educational Resources Information Center
Cummings, Tracy; Hofer, Kerry G.; Farran, Dale C.; Lipsey, Mark W.; Bilbrey, Carol; Vorhaus, Elizabeth
2009-01-01
The "Building Blocks PreK Math Curriculum" (Clements & Sarama, 2007) was designed to facilitate children's engagement in math and talk about math. Much research investigates the effect of curriculum on classrooms or teacher practices. This study used a mediational model to look at a curriculum's effect on children's achievement gain, operating…
A comparison of cognitive skills between completes and dropouts in a college physics course
NASA Astrophysics Data System (ADS)
Hudson, H. T.
Separate tests of mathematics skills, proportions and translations between words, and mathematical expression given the first week of class were correlated with performance for students who completed a college physics course (completes) and students who dropped the course (drops). None of the measures used discriminated between completes and drops as groups. However, the correlations between score on the test of math skills and on both of the measures involving mathematical reasoning (proportions, and translations) were dramatically different for the two groups. For the completes, these correlations were slightly negative, but not significant. For the drops, the correlation was positive and signficant at the p < 0.01 level. This suggests the possibility that the students who complete the course tend to have independent cognitive skills for the mechanical mathematical operations and for questions requiring some degree of reasoning, while, in contrast, the same skills for students at high risk for dropping overlap significantly. The study also found that when students are given the results of mathematics skills tests in a diagnostic mode, with feedback on specific areas of weakness and time to remediate with self study, the correlation between mathematics and physics is lower than previously reported values.Received: 2 April 1985
ERIC Educational Resources Information Center
Schaefer Whitby, Peggy J.
2009-01-01
Children with HFA/AS are outperformed by their neuro-typical peers on mathematical problem solving skills even though they have average-to-above-average intelligence (Dickerson Mayes & Calhoun, 2003b); have average-to-above-average computation skills (Chiang & Lin, 2007); and, are educated in the general education setting (Twenty Eighth…
Competency-Based Business Math. Curriculum Guide. Bulletin No. 1814.
ERIC Educational Resources Information Center
Louisiana State Dept. of Education, Baton Rouge. Div. of Vocational Education.
This is a curriculum guide for a course designed to enable students to master the necessary basic mathematics and business-related mathematics skills needed for entry into office and business occupations. The guide includes 11 instructional units: (1) "Fundamental Math Skills"; (2) "Fractions"; (3) "Decimals"; (4)…
Instructional Support Predicts Children's Task Avoidance in Kindergarten
ERIC Educational Resources Information Center
Pakarinen, Eija; Kiuru, Noona; Lerkkanen, Marja-Kristiina; Poikkeus, Anna-Maija; Ahonen, Timo; Nurmi, Jari-Erik
2011-01-01
This study examined the role of observed classroom quality in children's task-avoidant behavior and math skills in kindergarten. To investigate this, 1268 children were tested twice on their math skills during their kindergarten year. Kindergarten teachers (N = 137) filled in questionnaires measuring their professional experience and also rated…
Exploratory Factor Analysis of Reading, Spelling, and Math Errors
ERIC Educational Resources Information Center
O'Brien, Rebecca; Pan, Xingyu; Courville, Troy; Bray, Melissa A.; Breaux, Kristina; Avitia, Maria; Choi, Dowon
2017-01-01
Norm-referenced error analysis is useful for understanding individual differences in students' academic skill development and for identifying areas of skill strength and weakness. The purpose of the present study was to identify underlying connections between error categories across five language and math subtests of the Kaufman Test of…
SPC-Prep. Instructor's Guide. Workplace Education. Project ALERT.
ERIC Educational Resources Information Center
Ruetz, Nancy
This instructor's guide contains materials for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform SPC…
Cognitive Analysis of Educational Games: The Number Game.
van der Maas, Han L J; Nyamsuren, Enkhbold
2017-04-01
We analyze the cognitive strategies underlying performance in the Number task, a Math game that requires both arithmetic fluency and mathematical creativity. In this game all elements in a set of numbers (for instance, 2, 5, 9) have to be used precisely once to create a target number (for instance, 27) with basic arithmetic operations (solution: [5-2] × 9). We argue that some instances of this game are NP complete, by showing its relation to the well-known Partition problem. We propose heuristics based on the distinction in forward and backward reasoning. The Number Game is part of Math Garden, a popular online educational platform for practicing and monitoring math skills using innovations in computerized adaptive testing. These educational games generate enormous amounts of rich data on children's cognitive development. We found converging evidence for the use of forward proximity heuristics in the data of Math Garden, consisting of more than 20 million answers to 1,700 items. Item difficulties and the structure of correct answers were analyzed. Copyright © 2016 Cognitive Science Society, Inc.
ERIC Educational Resources Information Center
Wahl, Sharon C.
Nursing educators and administrators are concerned about medication errors made by students which jeopardize patient safety. The inability to conceptualize and calculate medication dosages, often related to math anxiety, is implicated in such errors. A computer-assisted instruction (CAI) program is seen as a viable method of allowing students to…
ERIC Educational Resources Information Center
Preston, Angela Irene
2016-01-01
Over the last two decades, students in Singapore consistently scored above students from other nations on the Trends in International Mathematics and Science Study (TIMSS; Provasnik et al., 2012). In contrast, students in the United States have not performed as well on international and national mathematics assessments and students with…
ERIC Educational Resources Information Center
Rhor, Monica
2013-01-01
The problems in public education are worrisome and well-documented: lagging math and science scores, shaky skills in reading and writing, growing numbers of students reaching college ill-prepared--or simply not getting there at all. The search for solutions can often seem more like a competition to fling blame, with fault found in everything from…
Assessing children's inference generation: what do tests of reading comprehension measure?
Bowyer-Crane, Claudine; Snowling, Margaret J
2005-06-01
Previous research suggests that children with specific comprehension difficulties have problems with the generation of inferences. This raises important questions as to whether poor comprehenders have poor comprehension skills generally, or whether their problems are confined to specific inference types. The main aims of the study were (a) using two commonly used tests of reading comprehension to classify the questions requiring the generation of inferences, and (b) to investigate the relative performance of skilled and less-skilled comprehenders on questions tapping different inference types. The performance of 10 poor comprehenders (mean age 110.06 months) was compared with the performance of 10 normal readers (mean age 112.78 months) on two tests of reading comprehension. A qualitative analysis of the NARA II (form 1) and the WORD comprehension subtest was carried out. Participants were then administered the NARA II, WORD comprehension subtest and a test of non-word reading. The NARA II was heavily reliant on the generation of knowledge-based inferences, while the WORD comprehension subtest was biased towards the retention of literal information. Children identified by the NARA II as having comprehension difficulties performed in the normal range on the WORD comprehension subtests. Further, children with comprehension difficulties performed poorly on questions requiring the generation of knowledge-based and elaborative inferences. However, they were able to answer questions requiring attention to literal information or use of cohesive devices at a level comparable to normal readers. Different reading tests tap different types of inferencing skills. Lessskilled comprehenders have particular difficulty applying real-world knowledge to a text during reading, and this has implications for the formulation of effective intervention strategies.
ERIC Educational Resources Information Center
Wilkins, M. Elaine
2012-01-01
In 2001, No Child Left Behind introduced the highly qualified status for k-12 teachers, which mandated the successful scores on a series of high-stakes test; within this series is the Pre-Professional Skills Test (PPST) or PRAXIS I. The PPST measures basic k-12 skills for reading, writing, and mathematics. The mathematics sub-test is a national…
NASA Astrophysics Data System (ADS)
Smith, Leigh
2015-03-01
I will describe methods used at the University of Cincinnati to enhance student success in an algebra-based physics course. The first method is to use ALEKS, an adaptive online mathematics tutorial engine, before the term begins. Approximately three to four weeks before the beginning of the term, the professor in the course emails all of the students in the course informing them of the possibility of improving their math proficiency by using ALEKS. Using only a minimal reward on homework, we have achieved a 70% response rate with students spending an average of 8 hours working on their math skills before classes start. The second method is to use a flipped classroom approach. The class of 135 meets in a tiered classroom twice per week for two hours. Over the previous weekend students spend approximately 2 hours reading the book, taking short multiple choice conceptual quizzes, and viewing videos covering the material. In class, students use Learning Catalytics to work through homework problems in groups, guided by the instructor and one learning assistant. Using these interventions, we have reduced the student DWF rate (the fraction of students receiving a D or lower in the class) from an historical average of 35 to 40% to less than 20%.
Using Computer-Assisted Instruction to Build Math Fact Fluency: An Implementation Guide
ERIC Educational Resources Information Center
Hawkins, Renee O.; Collins, Tai; Hernan, Colleen; Flowers, Emily
2017-01-01
Research findings support the use of computer-assisted instruction (CAI) as a curriculum supplement for improving math skills, including math fact fluency. There are a number of websites and mobile applications (i.e., apps) designed to build students' math fact fluency, but the options can become overwhelming. This article provides implementation…
Formula for Success: Engaging Families in Early Math Learning
ERIC Educational Resources Information Center
Global Family Research Project, 2017
2017-01-01
Early math ability is one of the best predictors of children's later success in school. Because children's learning begins in the home, families are fundamental in shaping children's interest and skills in math. The experience of learning and doing math, however, looks different from the instruction that was offered when most adults were in…
Neurobiological Underpinnings of Math and Reading Learning Disabilities
ERIC Educational Resources Information Center
Ashkenazi, Sarit; Black, Jessica M.; Abrams, Daniel A.; Hoeft, Fumiko; Menon, Vinod
2013-01-01
The primary goal of this review is to highlight current research and theories describing the neurobiological basis of math (MD), reading (RD), and comorbid math and reading disability (MD+RD). We first describe the unique brain and cognitive processes involved in acquisition of math and reading skills, emphasizing similarities and differences in…
Saxon Middle School Math. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2007
2007-01-01
"Saxon Math" curricula and materials are available for grades K through 12, with the content and skills designed to meet National Council of Teachers of Mathematics (NCTM) standards and various state standards. This WWC report focuses on middle school math curricula, defined as all Saxon Math curricula for grades 6 through 9. The…
After-School Math PLUS (ASM+) Final Evaluation Report
ERIC Educational Resources Information Center
Academy for Educational Development, 2007
2007-01-01
This report summarizes findings from the Academy for Educational Development's (AED's) evaluation of After-School Math PLUS (ASM+). This program was designed to help students find the math in everyday experiences and create awareness about the importance of math skills for future career options. The evaluation was conducted by AED's Center for…
Perceptions of Ability to Program or to Use a Word Processor.
ERIC Educational Resources Information Center
Colley, Ann; And Others
1996-01-01
This study examined 117 undergraduates' perceptions of ability at computer programming and word processing. In particular, it rated the importance of prior experience factors, keyboarding skills, and personal attributes such as enjoyment of problem solving. Those were discovered, in general, to be more important than formal training or aptitude in…
Linguistic Skills Involved in Learning to Spell: An Australian Study
ERIC Educational Resources Information Center
Daffern, Tessa
2017-01-01
Being able to accurately spell in Standard English requires efficient coordination of multiple knowledge sources. Therefore, spelling is a word-formation problem-solving process that can be difficult to learn. The present study uses Triple Word Form Theory as a conceptual framework to analyse Standard English spelling performance levels of…
ERIC Educational Resources Information Center
Lin, Alex R.; Lawrence, Joshua F.; Snow, Catherine E.; Taylor, Karen S.
2016-01-01
Communicative self-efficacy serves as an important link between discussing controversial issues and civic engagement because confidence in one's discourse skills is important to managing conflicting perspectives and developing solutions to community-based problems. Freely available to schools, "Word Generation" is a cross-content…
Why do I need to know this? Optics/photonics problem-based learning in the math classroom
NASA Astrophysics Data System (ADS)
Donnelly, Matthew J.; Donnelly, Judith F.; Donnelly, Stephanie
2017-08-01
A common complaint of engineering managers is that new employees at all levels, technician through engineer, tend to have rote calculation ability but are unable to think critically and use structured problem solving techniques to apply mathematical concepts. Further, they often have poor written and oral communication skills and difficulty working in teams. Ironically, a common question of high school mathematics students is "Why do I need to know this?" In this paper we describe a project using optics/photonics and Problem Based Learning (PBL) to address these issues in a high school calculus classroom.
Analysis of anatomic variability in children with low mathematical skills
NASA Astrophysics Data System (ADS)
Han, Zhaoying; Fuchs, Lynn; Davis, Nikki; Cannistraci, Christopher J.; Anderson, Adam W.; Gore, John C.; Dawant, Benoit M.
2008-03-01
Mathematical difficulty affects approximately 5-9% of the population. Studies on individuals with dyscalculia, a neurologically based math disorder, provide important insight into the neural correlates of mathematical ability. For example, cognitive theories, neuropsychological studies, and functional neuroimaging studies in individuals with dyscalculia suggest that the bilateral parietal lobes and intraparietal sulcus are central to mathematical performance. The purpose of the present study was to investigate morphological differences in a group of third grade children with poor math skills. We compare population averages of children with low math skill (MD) to gender and age matched controls with average math ability. Anatomical data were gathered with high resolution MRI and four different population averaging methods were used to study the effect of the normalization technique on the results. Statistical results based on the deformation fields between the two groups show anatomical differences in the bilateral parietal lobes, right frontal lobe, and left occipital/parietal lobe.
Sasser, Tyler R.; Bierman, Karen L.; Heinrichs, Brenda
2016-01-01
164 four-year-old children (14% Latino American, 30% African American, 56% European American; 57% girls) in 22 Head Start classrooms were followed through third grade. Growth curve models were used to estimate the predictive associations between pre-kindergarten executive function (EF) skills and trajectories of academic skill development (math, literacy, overall academic functioning) and social-emotional adjustment at school (social competence, aggression), controlling for child sex, race, verbal IQ, and pre-kindergarten baseline scores. Direct developmental pathways were examined, along with indirect pathways, in which the association between preschool EF and elementary school adjustment was mediated by classroom learning behaviors. Preschool EF significantly predicted later math skills, academic functioning, and social competence, and marginally predicted later literacy skills. Preschool learning behaviors fully mediated the association between EF and later literacy skills and social competence, but did not mediate associations between EF and later math skills or academic functioning. Implications for developmental theory and early education are discussed. PMID:27231409
Problem-Solving: Scaling the "Brick Wall"
ERIC Educational Resources Information Center
Benson, Dave
2011-01-01
Across the primary and secondary phases, pupils are encouraged to use and apply their knowledge, skills, and understanding of mathematics to solve problems in a variety of forms, ranging from single-stage word problems to the challenge of extended rich tasks. Amongst many others, Cockcroft (1982) emphasised the importance and relevance of…
Silk, Kami J; Parrott, Roxanne L
2014-01-01
Health risks are often communicated to the lay public in statistical formats even though low math skills, or innumeracy, have been found to be prevalent among lay individuals. Although numeracy has been a topic of much research investigation, the role of math self-efficacy and math anxiety on health and risk communication processing has received scant attention from health communication researchers. To advance theoretical and applied understanding regarding health message processing, the authors consider the role of math anxiety, including the effects of math self-efficacy, numeracy, and form of presenting statistics on math anxiety, and the potential effects for comprehension, yielding, and behavioral intentions. The authors also examine math anxiety in a health risk context through an evaluation of the effects of exposure to a message about genetically modified foods on levels of math anxiety. Participants (N = 323) were randomly assigned to read a message that varied the presentation of statistical evidence about potential risks associated with genetically modified foods. Findings reveal that exposure increased levels of math anxiety, with increases in math anxiety limiting yielding. Moreover, math anxiety impaired comprehension but was mediated by perceivers' math confidence and skills. Last, math anxiety facilitated behavioral intentions. Participants who received a text-based message with percentages were more likely to yield than participants who received either a bar graph with percentages or a combined form. Implications are discussed as they relate to math competence and its role in processing health and risk messages.
Hornung, Caroline; Schiltz, Christine; Brunner, Martin; Martin, Romain
2014-01-01
Early number competence, grounded in number-specific and domain-general cognitive abilities, is theorized to lay the foundation for later math achievement. Few longitudinal studies have tested a comprehensive model for early math development. Using structural equation modeling and mediation analyses, the present work examined the influence of kindergarteners' nonverbal number sense and domain-general abilities (i.e., working memory, fluid intelligence, and receptive vocabulary) and their early number competence (i.e., symbolic number skills) on first grade math achievement (i.e., arithmetic, shape and space skills, and number line estimation) assessed 1 year later. Latent regression models revealed that nonverbal number sense and working memory are central building blocks for developing early number competence in kindergarten and that early number competence is key for first grade math achievement. After controlling for early number competence, fluid intelligence significantly predicted arithmetic and number line estimation while receptive vocabulary significantly predicted shape and space skills. In sum we suggest that early math achievement draws on different constellations of number-specific and domain-general mechanisms.
Hornung, Caroline; Schiltz, Christine; Brunner, Martin; Martin, Romain
2014-01-01
Early number competence, grounded in number-specific and domain-general cognitive abilities, is theorized to lay the foundation for later math achievement. Few longitudinal studies have tested a comprehensive model for early math development. Using structural equation modeling and mediation analyses, the present work examined the influence of kindergarteners' nonverbal number sense and domain-general abilities (i.e., working memory, fluid intelligence, and receptive vocabulary) and their early number competence (i.e., symbolic number skills) on first grade math achievement (i.e., arithmetic, shape and space skills, and number line estimation) assessed 1 year later. Latent regression models revealed that nonverbal number sense and working memory are central building blocks for developing early number competence in kindergarten and that early number competence is key for first grade math achievement. After controlling for early number competence, fluid intelligence significantly predicted arithmetic and number line estimation while receptive vocabulary significantly predicted shape and space skills. In sum we suggest that early math achievement draws on different constellations of number-specific and domain-general mechanisms. PMID:24772098
ERIC Educational Resources Information Center
Jalan, Rahael
1992-01-01
Describes Saskatchewan Indian Federated College's preprofessional, university-level science program and its focus on building math and science skills and on Indian culture, traditional medicine, current and future health care needs, and the goals of Indian people. Reports departmentwide enrollment increases. (DMM)
Writing Chinese and Mathematics Achievement: A Study with Chinese-American Undergraduates.
ERIC Educational Resources Information Center
Li, Chieh; Nuttall, Ronald
2001-01-01
Indicates that writing Chinese is correlated to Chinese-American (CA) students' spatial skills and investigates whether writing Chinese would have the same relationship to mathematics skills. Suggested a strong correlation between writing Chinese and success on SAT-Math. Supports the cultural relativity theory of gender difference on SAT-Math.…
SPC-Prep 1. Participant's Manual. Workplace Education. Project ALERT.
ERIC Educational Resources Information Center
Ruetz, Nancy
This companion document to the instructor's guide for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform…
ERIC Educational Resources Information Center
Griffith, Leah
2016-01-01
Classroom teachers try to provide opportunities for students to practice and use the algebra skills they are learning in ways that are nonroutine. They also want to help students connect the big ideas of math with the skills they are learning as part of the balance between understanding concepts and procedures. Math games can be used to accomplish…
ERIC Educational Resources Information Center
Digiacomo, Gregory; Chen, Peggy P.
2016-01-01
We investigated the effects of a self-regulatory intervention strategy designed to improve middle-school students' calibration accuracy, self-regulatory skills, and math achievement. Focusing on self-monitoring and self-reflection as the two key processes of this intervention in relation to improving students' math achievement and overall…
The Impact of Junior Kindergarten on Math Skills in Elementary School
ERIC Educational Resources Information Center
Pagani, Linda S.; Larocque, Denis; Tremblay, Richard E.; Lapointe, Pierre
2004-01-01
Using data from the first cycle of the National Longitudinal Survey of Children and Youth, this study examines the impact of junior kindergarten on children's later skills in math, above and beyond regional differences and individual/household factors. It was hypothesized that earlier schooling would better prepare children for first formal…
Swanson, H Lee
2015-01-01
This study investigated the role of strategy instruction and working memory capacity (WMC) on problem solving solution accuracy in children with and without math disabilities (MD). Children in grade 3 (N = 204) with and without MD subdivided into high and low WMC were randomly assigned to 1 of 4 conditions: verbal strategies (e.g., underlining question sentence), visual strategies (e.g., correctly placing numbers in diagrams), verbal + visual strategies, and an untreated control. The dependent measures for training were problem solving accuracy and two working memory transfer measures (operation span and visual-spatial span). Three major findings emerged: (1) strategy instruction facilitated solution accuracy but the effects of strategy instruction were moderated by WMC, (2) some strategies yielded higher post-test scores than others, but these findings were qualified as to whether children were at risk for MD, and (3) strategy training on problem solving measures facilitated transfer to working memory measures. The main findings were that children with MD, but high WM spans, were more likely to benefit from strategy conditions on target and transfer measures than children with lower WMC. The results suggest that WMC moderates the influence of cognitive strategies on both the targeted and non-targeted measures.
Swanson, H. Lee
2015-01-01
This study investigated the role of strategy instruction and working memory capacity (WMC) on problem solving solution accuracy in children with and without math disabilities (MD). Children in grade 3 (N = 204) with and without MD subdivided into high and low WMC were randomly assigned to 1 of 4 conditions: verbal strategies (e.g., underlining question sentence), visual strategies (e.g., correctly placing numbers in diagrams), verbal + visual strategies, and an untreated control. The dependent measures for training were problem solving accuracy and two working memory transfer measures (operation span and visual-spatial span). Three major findings emerged: (1) strategy instruction facilitated solution accuracy but the effects of strategy instruction were moderated by WMC, (2) some strategies yielded higher post-test scores than others, but these findings were qualified as to whether children were at risk for MD, and (3) strategy training on problem solving measures facilitated transfer to working memory measures. The main findings were that children with MD, but high WM spans, were more likely to benefit from strategy conditions on target and transfer measures than children with lower WMC. The results suggest that WMC moderates the influence of cognitive strategies on both the targeted and non-targeted measures. PMID:26300803
Developing Elementary Math and Science Process Skills Through Engineering Design Instruction
NASA Astrophysics Data System (ADS)
Strong, Matthew G.
This paper examines how elementary students can develop math and science process skills through an engineering design approach to instruction. The performance and development of individual process skills overall and by gender were also examined. The study, preceded by a pilot, took place in a grade four extracurricular engineering design program in a public, suburban school district. Students worked in pairs and small groups to design and construct airplane models from styrofoam, paper clips, and toothpicks. The development and performance of process skills were assessed through a student survey of learning gains, an engineering design packet rubric (student work), observation field notes, and focus group notes. The results indicate that students can significantly develop process skills, that female students may develop process skills through engineering design better than male students, and that engineering design is most helpful for developing the measuring, suggesting improvements, and observing process skills. The study suggests that a more regular engineering design program or curriculum could be beneficial for students' math and science abilities both in this school and for the elementary field as a whole.
Math and Movement: Practical Ways to Incorporate Math into Physical Education
ERIC Educational Resources Information Center
Wade, Marcia
2016-01-01
Each year, physical educators are asked to incorporate even more math, language arts, science and social studies into their curriculum. The challenge is how to do this without sacrificing the essential health and life skills provided by a quality physical education program. One program, Math & Movement, is a great aid for physical educators to…
Firefighter Math - a web-based learning tool
Dan Jimenez
2010-01-01
Firefighter Math is a web based interactive resource that was developed to help prepare wildland fire personnel for math based training courses. The website can also be used as a refresher for fire calculations including slope, flame length, relative humidity, flow rates, unit conversion, etc. The website is designed to start with basic math refresher skills and...
The Use and Effectiveness of a Targeted Math Intervention for Third Graders
ERIC Educational Resources Information Center
Pool, Juli L.; Carter, Gabriel M.; Johnson, Evelyn S.; Carter, Deborah R.
2013-01-01
Students who fail to develop proficiency in math skills in the primary grades are more likely to experience difficulties in the math curriculum later on. These students may be in need of a more targeted intervention, or Tier 2 supports, in mathematic instruction. Although the instructional principles of an effective math intervention are becoming…
ERIC Educational Resources Information Center
Jones, Stephanie M.; Kim, James; LaRusso, Maria; Kim, Ha Yeon; Selman, Robert; Uccelli, Paola; Barnes, Sophie; Donovan, Suzanne; Snow, Catherine
2016-01-01
Word Generation (WG) is a research-based vocabulary program for middle school students designed to teach words through language arts, math, science, and social studies classes. The program consists of weekly units that introduce 5 high-utility target words through brief passages designed to spark active examination and discussion of contemporary…
ERIC Educational Resources Information Center
Björn, Piia Maria; Leppänen, Paavo H. T.
2013-01-01
The results of Fast ForWord® training on English decoding-related skills were examined. Finnish fifth-grade students were identified as having reading fluency problems and poor skills in English as a foreign language learned at school and were randomly assigned to either a training group (TRG) or a control group. The TRG ("n"?=?13)…
ERIC Educational Resources Information Center
Wilson, Johnnie
2012-01-01
According to the author, much of their math teaching is through pictures and words. They write number sentences, they draw geometric figures, and they talk about math. The representations they use--numbers, shapes, operators, and mathematics vocabulary--make it possible for them to learn and communicate mathematical ideas. These representations…
ERIC Educational Resources Information Center
Clarke, Jacqueline, Ed.
1999-01-01
Presents hand-on, standards-based activities in language arts, math, science, and social studies, including a daily almanac; bookmark buddies; word palettes; bowling for numbers; math thought teasers; plant puzzles; fingerprint fun; a travel bureau; and an end-of-the-year bulletin board of people involved in interesting activities. Reproducible…
Cogo-Moreira, Hugo; de Ávila, Clara Regina Brandão; Ploubidis, George B.; Mari, Jair de Jesus
2013-01-01
Introduction Difficulties in word-level reading skills are prevalent in Brazilian schools and may deter children from gaining the knowledge obtained through reading and academic achievement. Music education has emerged as a potential method to improve reading skills because due to a common neurobiological substratum. Objective To evaluate the effectiveness of music education for the improvement of reading skills and academic achievement among children (eight to 10 years of age) with reading difficulties. Method 235 children with reading difficulties in 10 schools participated in a five-month, randomized clinical trial in cluster (RCT) in an impoverished zone within the city of São Paulo to test the effects of music education intervention while assessing reading skills and academic achievement during the school year. Five schools were chosen randomly to incorporate music classes (n = 114), and five served as controls (n = 121). Two different methods of analysis were used to evaluate the effectiveness of the intervention: The standard method was intention-to-treat (ITT), and the other was the Complier Average Causal Effect (CACE) estimation method, which took compliance status into account. Results The ITT analyses were not very promising; only one marginal effect existed for the rate of correct real words read per minute. Indeed, considering ITT, improvements were observed in the secondary outcomes (slope of Portuguese = 0.21 [p<0.001] and slope of math = 0.25 [p<0.001]). As for CACE estimation (i.e., complier children versus non-complier children), more promising effects were observed in terms of the rate of correct words read per minute [β = 13.98, p<0.001] and phonological awareness [β = 19.72, p<0.001] as well as secondary outcomes (academic achievement in Portuguese [β = 0.77, p<0.0001] and math [β = 0.49, p<0.001] throughout the school year). Conclusion The results may be seen as promising, but they are not, in themselves, enough to make music lessons as public policy. PMID:23544117
Cogo-Moreira, Hugo; Brandão de Ávila, Clara Regina; Ploubidis, George B; Mari, Jair de Jesus
2013-01-01
Difficulties in word-level reading skills are prevalent in Brazilian schools and may deter children from gaining the knowledge obtained through reading and academic achievement. Music education has emerged as a potential method to improve reading skills because due to a common neurobiological substratum. To evaluate the effectiveness of music education for the improvement of reading skills and academic achievement among children (eight to 10 years of age) with reading difficulties. 235 children with reading difficulties in 10 schools participated in a five-month, randomized clinical trial in cluster (RCT) in an impoverished zone within the city of São Paulo to test the effects of music education intervention while assessing reading skills and academic achievement during the school year. Five schools were chosen randomly to incorporate music classes (n = 114), and five served as controls (n = 121). Two different methods of analysis were used to evaluate the effectiveness of the intervention: The standard method was intention-to-treat (ITT), and the other was the Complier Average Causal Effect (CACE) estimation method, which took compliance status into account. The ITT analyses were not very promising; only one marginal effect existed for the rate of correct real words read per minute. Indeed, considering ITT, improvements were observed in the secondary outcomes (slope of Portuguese = 0.21 [p<0.001] and slope of math = 0.25 [p<0.001]). As for CACE estimation (i.e., complier children versus non-complier children), more promising effects were observed in terms of the rate of correct words read per minute [β = 13.98, p<0.001] and phonological awareness [β = 19.72, p<0.001] as well as secondary outcomes (academic achievement in Portuguese [β = 0.77, p<0.0001] and math [β = 0.49, p<0.001] throughout the school year). The results may be seen as promising, but they are not, in themselves, enough to make music lessons as public policy.
Morris, Amanda Sheffield; John, Aesha; Halliburton, Amy L.; Morris, Michael D. S.; Robinson, Lara R.; Myers, Sonya S.; Aucoin, Katherine J.; Keyes, Angela W.; Terranova, Andrew
2013-01-01
This study examined the role of effortful control, behavior problems, and peer relations in the academic adjustment of 74 kindergarten children from primarily low-income families using a short-term longitudinal design. Teachers completed standardized measures of children’s effortful control, internalizing and externalizing problems, school readiness, and academic skills. Children participated in a sociometric interview to assess peer relations. Research Findings: Correlational analyses indicate that children’s effortful control, behavior problems in school, and peer relations are associated with academic adjustment variables at the end of the school year, including school readiness, reading skills, and math skills. Results of regression analyses indicate that household income and children’s effortful control primarily account for variation in children’s academic adjustment. The associations between children’s effortful control and academic adjustment did not vary across sex of the child or ethnicity. Mediational analyses indicate an indirect effect of effortful control on school readiness, through children’s internalizing problems. Practice or Policy: Effortful control emerged as a strong predictor of academic adjustment among kindergarten children from low-income families. Strategies for enhancing effortful control and school readiness among low-income children are discussed. PMID:24163572
New Tools to Convert PDF Math Contents into Accessible e-Books Efficiently.
Suzuki, Masakazu; Terada, Yugo; Kanahori, Toshihiro; Yamaguchi, Katsuhito
2015-01-01
New features in our math-OCR software to convert PDF math contents into accessible e-books are shown. A method for recognizing PDF is thoroughly improved. In addition, contents in any selected area including math formulas in a PDF file can be cut and pasted into a document in various accessible formats, which is automatically recognized and converted into texts and accessible math formulas through this process. Combining it with our authoring tool for a technical document, one can easily produce accessible e-books in various formats such as DAISY, accessible EPUB3, DAISY-like HTML5, Microsoft Word with math objects and so on. Those contents are useful for various print-disabled students ranging from the blind to the dyslexic.
ERIC Educational Resources Information Center
Actuarial Foundation, 2013
2013-01-01
"Setting the Stage with Geometry" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) standards that is designed to help students in grades 6-8 build and reinforce basic geometry skills for measuring 2D and 3D shapes. Developed by The Actuarial Foundation, this program seeks to provide skill-building math…
Lonigan, Christopher J; Allan, Darcey M; Goodrich, J Marc; Farrington, Amber L; Phillips, Beth M
Children's self-regulation, including components of executive function such as inhibitory control, is related concurrently and longitudinally with elementary school children's reading and math abilities. Although several recent studies have examined links between preschool children's self-regulation or executive function and their academic skill development, few included large numbers of Spanish-speaking language-minority children. Among the fastest growing segments of the U.S. school-age population, many of these children are at significant risk of academic difficulties. We examined the relations between inhibitory control and academic skills in a sample containing a large number of Spanish-speaking preschoolers. Overall, the children demonstrated substantial academic risk based on preschool-entry vocabulary scores in the below-average range. Children completed assessments of language, literacy, and math skills in English and Spanish, when appropriate, at the start and end of their preschool year, along with a measure of inhibitory control, the Head-Toes-Knees-Shoulders task, which was administered at the start of the preschool year in the child's dominant conversational language. Scores on this last measure were lower for children for whom it was administered in Spanish. For both English and Spanish outcomes, those scores were significantly and uniquely associated with higher scores on measures of phonological awareness and math skills but not vocabulary or print knowledge skills.
The Role of PS Ability and RC Skill in Predicting Growth Trajectories of Mathematics Achievement
ERIC Educational Resources Information Center
Vista, Alvin
2016-01-01
There are relatively few studies in Australia and South-East Asian region that combine investigating models of math growth trajectories with predictors such as reasoning ability and reading comprehension skills. Math achievement is one of the major components of overall academic achievement and it is important to determine what factors (especially…
ERIC Educational Resources Information Center
Price, Barbara A.; Randall, Cindy H.; Frederick, Joshua; Gáll, József; Jones, Thomas W.
2012-01-01
In recent decades, Hungary and the United States have embraced new philosophies in their approach to teaching mathematics. Hungary's changes were driven by social and economic shifts, the U.S. by the creation of national standards. In both countries, university faculty members complain about students' poor math skills. Professors from three…
Maritime Math Review. The Port of Baltimore Workplace Skills Development Project.
ERIC Educational Resources Information Center
Janiszewski, Kathryn; Permut, Cathy
This set of learning modules was developed during a project to deliver workplace literacy instruction to individuals employed in the more than 50 businesses related to the activities of the Port of Baltimore. It is intended to help employees of port businesses develop basic math skills. The following topics are covered in the individual modules:…
Advancing the Math Skills of Middle School Students in Technology Education Classrooms
ERIC Educational Resources Information Center
Bottge, Brian A.; Grant, Timothy S.; Stephens, Ana C.; Rueda, Enrique
2010-01-01
While curriculum specialists and committees often decide how mathematics is taught, it is ultimately principals who influence the extent to which these initiatives are carried out. The overall goal of this article is to provide school leaders with classroom-based research that describes one way of improving the math skills of middle school…
ERIC Educational Resources Information Center
Arnold, Ivo J. M.; Rowaan, Wietske
2014-01-01
In this study, the authors investigate the relationships among gender, math skills, motivation, and study success in economics and econometrics. They find that female students have stronger intrinsic motivation, yet lower study confidence than their male counterparts. They also find weak evidence for a gender gap over the entire first-year…
Combatting Math Anxiety While Building Basic Skills: There is Time for Both.
ERIC Educational Resources Information Center
Lasher, Ann M.
Reducing math anxiety and building basic mathematical skills should not be treated as separate processes, but can and should be undertaken simultaneously. To do so requires a positive attitude on the part of the instructor; the establishment of an atmosphere in the classroom that encourages learning; and the instructor's awareness of different…
ERIC Educational Resources Information Center
Deppe, Scott
2012-01-01
This exploratory phenomenological study was designed to investigate the relationships between mathematics and music skills of students participating in successful high school instrumental music programs. The participants of this study were purposefully selected and included one math educator or math department chairperson and the band or orchestra…
Comorbid Fluency Difficulties in Reading and Math: Longitudinal Stability across Early Grades
ERIC Educational Resources Information Center
Koponen, Tuire; Aro, Mikko; Poikkeus, Anna-Maija; Niemi, Pekka; Lerkkanen, Marja-Kristiina; Ahonen, Timo; Nurmi, Jari-Erik
2018-01-01
We examined the prevalence of comorbidity of dysfluent reading and math skills longitudinally in a representative sample (N = 1,928) and the stability of comorbid and single difficulties from first to fourth grades. The findings indicated that half the children who showed very low performance in one skill also evidenced low or very low performance…
Written Language Skills of Entry-Level Accountants as Assessed by Experienced CPAs.
ERIC Educational Resources Information Center
Nelson, Sandra J.; Moncada, Susan; Smith, Douglas C.
1996-01-01
Surveys experienced Certified Public Accountants to examine their perceptions of the written language skills of entry-level accountants. Finds that written language fundamentals in word selection and usage, sentence and paragraph construction, and grammar and mechanics remain a problem for entry-level accountants. Notes the value of these findings…
van Wingerden, Evelien; Segers, Eliane; van Balkom, Hans; Verhoeven, Ludo
2014-11-01
A considerable number of children with intellectual disabilities (ID) are able to acquire basic word reading skills. However, not much is known about their achievements in more advanced reading comprehension skills. In the present study, a group of 49 children with ID and a control group of 21 typically developing children with word decoding skills in the normal ranges of first grade were compared in lower level (explicit meaning) and higher level (implicit meaning) reading comprehension abilities. Moreover, in the group of children with ID it was examined to what extent their levels of lower level and higher level reading comprehension could be predicted from their linguistic skills (word decoding, vocabulary, language comprehension) and cognitive skill (nonverbal reasoning). It was found that children with ID were weaker than typically developing children in higher level reading comprehension but not in lower level reading comprehension. Children with ID also performed below the control group on nonverbal reasoning and language comprehension. After controlling for nonverbal reasoning, linguistic skills predicted lower level reading comprehension but not higher level reading comprehension. It can be concluded that children with ID who have basic decoding skill do reasonably well on lower level reading comprehension but continue to have problems with higher level reading comprehension. Copyright © 2014 Elsevier Ltd. All rights reserved.
One Instructor's Quest for a Collaborative Professional Culture
ERIC Educational Resources Information Center
Frickey, Jimmy
2007-01-01
With a B.S. in math but no prior math education training, the author's first job as a math teacher was at an alternative charter school with a holistic mission. The author struggled tremendously and no doubt left numerous opponents to math reform in his wake. Fortunately, he attributed his ineffectiveness to his lack of experience and skill as a…
Math anxiety: who has it, why it develops, and how to guard against it.
Maloney, Erin A; Beilock, Sian L
2012-08-01
Basic math skills are important for success in school and everyday life. Yet many people experience apprehension and fear when dealing with numerical information, termed math anxiety. Recently, researchers have started to probe the antecedents of math anxiety, revealing some surprising insights into its onset, risk factors, and remediation. Copyright © 2012 Elsevier Ltd. All rights reserved.
Preschool Math Exposure in Private Center-Based Care and Low-SES Children's Math Development
ERIC Educational Resources Information Center
Bachman, Heather J.; Degol, Jessica L.; Elliott, Leanne; Scharphorn, Laura; El Nokali, Nermeen E.; Palmer, Kalani M.
2018-01-01
Research Findings: The present study examined the amount of exposure to math activities that children of low socioeconomic status (SES) encounter in private community-based preschool classrooms and whether greater time in these activities predicted higher math skills. Three cohorts of 4- to 5-year-old children were recruited from 30 private…
ERIC Educational Resources Information Center
Spann, Mary Beth
This book contains 18 reproducible Math Storymats which can be a refreshing addition to any early elementary math program. Each storymat is accompanied by two separate read-aloud story selections that guide children in using plastic disk-shaped markers to interact with the mats in specific and open-ended ways. Together the mats and the…
ERIC Educational Resources Information Center
Forsten, Char
2005-01-01
This book offers classroom-tested activities designed to make even the most reluctant learners crazy about math. Appealing to everyone from sports fans to readers, future fashion designers to budding musicians, the activities presented in this book offer ways to develop a deep-rooted love and appreciation of math in every student. Teachers are…
NASA Astrophysics Data System (ADS)
Clemmons, Karina
Vocabulary in a second language is an indispensable building block of all comprehension (Folse, 2006; Nation, 2006). Teachers in content area classes such as science, math, and social studies frequently teach content specific vocabulary, but are not aware of the obstacles that can occur when students do not know the basic words. Word lists such as the General Service List (GSL) were created to assist students and teachers (West, 1953). The GSL does not adequately take into account the high level of polysemy of many common English words, nor has it been updated by genre to reflect specific content domains encountered by secondary science students in today's high stakes classes such as chemistry. This study examines how many words of the first 1000 words of the GSL occurred in the secondary chemistry textbooks sampled, how often the first 1000 words of the GSL were polysemous, and specifically which multiple meanings occurred. A discussion of results includes word tables that list multiple meanings present, example phrases that illustrate the context surrounding the target words, suggestions for a GSL that is genre specific to secondary chemistry textbooks and that is ranked by meaning as well as type, and implications for both vocabulary materials and classroom instruction for ELLs in secondary chemistry classes. Findings are essential to second language (L2) researchers, materials developers, publishers, and teachers.
The Association between Motivation, Affect, and Self-regulated Learning When Solving Problems.
Baars, Martine; Wijnia, Lisette; Paas, Fred
2017-01-01
Self-regulated learning (SRL) skills are essential for learning during school years, particularly in complex problem-solving domains, such as biology and math. Although a lot of studies have focused on the cognitive resources that are needed for learning to solve problems in a self-regulated way, affective and motivational resources have received much less research attention. The current study investigated the relation between affect (i.e., Positive Affect and Negative Affect Scale), motivation (i.e., autonomous and controlled motivation), mental effort, SRL skills, and problem-solving performance when learning to solve biology problems in a self-regulated online learning environment. In the learning phase, secondary education students studied video-modeling examples of how to solve hereditary problems, solved hereditary problems which they chose themselves from a set of problems with different complexity levels (i.e., five levels). In the posttest, students solved hereditary problems, self-assessed their performance, and chose a next problem from the set of problems but did not solve these problems. The results from this study showed that negative affect, inaccurate self-assessments during the posttest, and higher perceptions of mental effort during the posttest were negatively associated with problem-solving performance after learning in a self-regulated way.
Instruction, Teacher–Student Relations, and Math Achievement Trajectories in Elementary School
Crosnoe, Robert; Morrison, Fred; Burchinal, Margaret; Pianta, Robert; Keating, Daniel; Friedman, Sarah L.; Clarke-Stewart, K. Alison
2010-01-01
Children enter elementary school with widely different skill levels in core subjects. Whether because of differences in aptitude or in preparedness, these initial skill differences often translate into systematic disparities in achievement over time. How can teachers reduce these disparities? Three possibilities are to offer basic skills training, to expose students to higher order instruction, or to provide socioemotional support. Repeated measures analyses of longitudinal data from the Eunice Kennedy Shriver National Institute of Child Health and Human Development Study of Early Child Care and Youth Development revealed that children with low, average, or high math skills prior to elementary school followed different but parallel trajectories of math achievement up through fifth grade. When enrolled in classes with inference-based instruction, however, the initially least skilled children narrowed the achievement gap as long as they did not have conflictual relations with their teachers. They did not make this kind of progress if they were in classes focused exclusively on basic skills instruction or if they were in inference-focused classes but had conflictual relations with teachers. PMID:20657743
Burns, Matthew K; Ysseldyke, Jim; Nelson, Peter M; Kanive, Rebecca
2015-09-01
Computational fluency is an important aspect of math proficiency. Despite widely held beliefs about the differential difficulty of single-digit multiplication math facts, little empirical work has examined this issue. The current study analyzed the number of repetitions needed to master multiplication math facts. Data from 15,402 3rd, 4th, and 5th graders were analyzed using a national database. Results suggested that (a) students with lower math skills required significantly (p < .001) more repetitions than more skilled students; (b) across all students, single-digit multiplication facts with 4s, 5s, 6s, and 7s required significantly (p < .001) more repetition than did 2s and 3s; and (c) the number of practice sessions needed to attain mastery significantly (p < .001) decreased with increase in grade level. Implications for instructional planning and implementation are discussed. (c) 2015 APA, all rights reserved).
and high school student teams on science and math topics. The National Science Bowl provides an opportunity for students to develop science, technology, engineering, and math (STEM) skills in a non tournament challenges students' knowledge of science. Student teams are questioned on life science, math
Saxon Math. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2004
2004-01-01
"Saxon Math" focuses on fundamental mathematics skills, targeting children from kindergarten through grade 12. This report focuses on middle school math, defined as grades 6 through 9. The 6th grade curriculum covers simplifying expressions containing parentheses, graphing functions, and understanding ratios and proportions. The 7th grade…
The Reliability of Randomly Generated Math Curriculum-Based Measurements
ERIC Educational Resources Information Center
Strait, Gerald G.; Smith, Bradley H.; Pender, Carolyn; Malone, Patrick S.; Roberts, Jarod; Hall, John D.
2015-01-01
"Curriculum-Based Measurement" (CBM) is a direct method of academic assessment used to screen and evaluate students' skills and monitor their responses to academic instruction and intervention. Interventioncentral.org offers a math worksheet generator at no cost that creates randomly generated "math curriculum-based measures"…
NASA Astrophysics Data System (ADS)
Moosavi, S. C.
2011-12-01
The NSF sponsored on-line math skills module series The Math You Need When You Need It (TMYN) was constructed to provide math skill development and support to introductory geoscience course instructors whose students science learning is often hindered by deficiencies in critical math skills. The on-line modules give instructors a mechanism for student-centered, skill-specific math tutorials, practice exercises and assessments outside regular class time. In principle, a student deficient in a skill such as graphing, calculating a best-fit line or manipulating and quantifying a concept such as density can use the appropriate TMYN module to identify their area of weakness, focus on developing the skill using geologically relevant examples, and get feedback reflecting their mastery of the skill in an asynchronous format just as the skill becomes critical to learning in the course. The asynchronous format allows the instructor to remain focused on the geoscience content during class time without diverting all students' attention to skill remediation needed by only a subset of the population. Such a blended approach prevents the progression of the class from being slowed by the need for remediation for some students while simultaneously not leaving those students behind. The challenge to geoscience educators comes in identifying the best strategy for implementing TMYN modules in their classrooms. This presentation contrasts the effectiveness of 2 strategies for implementing TMYN in an introductory Earth System Science class taken as a general education science lab requirement by lower division students at a community college. This course is typical of many such large general education courses in that lab instruction is provided by separate educators from the primary instructor in charge of the lecture, often creating 2 parallel and only dimly connected courses in the experience of many students. In case 1, TMYN was implemented in 3 of 4 lab sections by an adjunct lab instructor while the primary instructor made no mention or use of TMYN in lecture or in the remaining lab section. In case 2, the same instructors each taught independent lecture and lab (2) sections, with TMYN being fully integrated in the course of the first instructor while not mentioned in that of the second. The strengths and weaknesses of each approach both for faculty implementation and student learning are compared with important insights into how such modules should be implemented in lecture/lab courses with separate instructors.
Multiply Your Child's Success: Math and Science Can Make Dreams Come True. A Parent's Guide
ERIC Educational Resources Information Center
National Math and Science Initiative, 2012
2012-01-01
In today's high-tech world, math and science matter. Of the 10 fastest growing occupations, eight are science, math or technology-related. Whatever a child wants to do--join the military, join the workforce, or go on to college--math and science skills will be important. Become part of the equation to help one's child succeed now and in the…
Reading Skill and Word Skipping: Implications for Visual and Linguistic Accounts of Word Skipping
ERIC Educational Resources Information Center
Eskenazi, Michael A.; Folk, Jocelyn R.
2015-01-01
We investigated whether high-skill readers skip more words than low-skill readers as a result of parafoveal processing differences based on reading skill. We manipulated foveal load and word length, two variables that strongly influence word skipping, and measured reading skill using the Nelson-Denny Reading Test. We found that reading skill did…
ERIC Educational Resources Information Center
Erford, Bradley T.; Biddison, Amanda R.
2006-01-01
The Math Essential Skills Screener--Upper Elementary Version (MESS-U) is part of a series of screening tests designed to help identify students ages 9-11 who are at risk for mathematics failure. Internal consistency, test-retest reliability, item analysis, decision efficiency, convergent validity and factorial validity of the MESS-U were studied…
ERIC Educational Resources Information Center
Pittsburg Unified School District, CA.
The card games in this publication are an alternative activity to help students master computational skills. Games for operations with whole numbers, fractions, decimals, percents, integers, and square roots are included. They can be used to introduce math topics and for practice and review, with either the whole class or in small groups with 2 to…
ERIC Educational Resources Information Center
Ray, Darrell L.
2013-01-01
Students often enter biology programs deficient in the math and computational skills that would enhance their attainment of a deeper understanding of the discipline. To address some of these concerns, I developed a series of spreadsheet simulation exercises that focus on some of the mathematical foundations of scientific inquiry and the benefits…
Individual differences in nonverbal number skills predict math anxiety.
Lindskog, Marcus; Winman, Anders; Poom, Leo
2017-02-01
Math anxiety (MA) involves negative affect and tension when solving mathematical problems, with potentially life-long consequences. MA has been hypothesized to be a consequence of negative learning experiences and cognitive predispositions. Recent research indicates genetic and neurophysiological links, suggesting that MA stems from a basic level deficiency in symbolic numerical processing. However, the contribution of evolutionary ancient purely nonverbal processes is not fully understood. Here we show that the roots of MA may go beyond symbolic numbers. We demonstrate that MA is correlated with precision of the Approximate Number System (ANS). Individuals high in MA have poorer ANS functioning than those low in MA. This correlation remains significant when controlling for other forms of anxiety and for cognitive variables. We show that MA mediates the documented correlation between ANS precision and math performance, both with ANS and with math performance as independent variable in the mediation model. In light of our results, we discuss the possibility that MA has deep roots, stemming from a non-verbal number processing deficiency. The findings provide new evidence advancing the theoretical understanding of the developmental etiology of MA. Copyright © 2016 Elsevier B.V. All rights reserved.
ERIC Educational Resources Information Center
Gup, Ted
2012-01-01
Depending on how one does the math, there are between a quarter-million and a million words in the English language. Of all these words, the author holds in contempt only one. That word is "like"--not the tepid expression of mild appreciation but the parasitic form that now bleeds the mother tongue, marks the user as a dunce, and, were it truly…
Mathematics Anxiety, Working Memory, and Mathematics Performance in Secondary-School Children.
Passolunghi, Maria C; Caviola, Sara; De Agostini, Ruggero; Perin, Chiara; Mammarella, Irene C
2016-01-01
Mathematics anxiety (MA) has been defined as "a feeling of tension and anxiety that interferes with the manipulation of numbers and the solving of math problems in a wide variety of ordinary life and academic situations." Previous studies have suggested that a notable proportion of children in primary and secondary school suffer from MA, which is negatively correlated with calculation skills. The processing efficiency and attentional control theories suggest that working memory (WM) also plays an important part in such anxious feelings. The present study aimed to analyze the academic achievement and cognitive profiles of students with high math anxiety (HMA) and low math anxiety (LMA). Specifically, 32 students with HMA and 34 with LMA matched for age, gender, generalized anxiety, and vocabulary attending sixth to eighth grades were selected from a larger sample. The two groups were tested on reading decoding, reading comprehension, mathematics achievement, and on verbal short-term memory and WM. Our findings showed that HMA students were weak in several measures of mathematics achievement, but not in reading and writing skills, and that students with HMA reported lower scores on short-term memory and WM performances (with associated difficulties in inhibiting irrelevant information) than children with LMA. In addition, a logistic regression showed that weaknesses in inhibitory control and fact retrieval were the strongest variables for classifying children as having HMA or LMA.
Mathematics Anxiety, Working Memory, and Mathematics Performance in Secondary-School Children
Passolunghi, Maria C.; Caviola, Sara; De Agostini, Ruggero; Perin, Chiara; Mammarella, Irene C.
2016-01-01
Mathematics anxiety (MA) has been defined as “a feeling of tension and anxiety that interferes with the manipulation of numbers and the solving of math problems in a wide variety of ordinary life and academic situations.” Previous studies have suggested that a notable proportion of children in primary and secondary school suffer from MA, which is negatively correlated with calculation skills. The processing efficiency and attentional control theories suggest that working memory (WM) also plays an important part in such anxious feelings. The present study aimed to analyze the academic achievement and cognitive profiles of students with high math anxiety (HMA) and low math anxiety (LMA). Specifically, 32 students with HMA and 34 with LMA matched for age, gender, generalized anxiety, and vocabulary attending sixth to eighth grades were selected from a larger sample. The two groups were tested on reading decoding, reading comprehension, mathematics achievement, and on verbal short-term memory and WM. Our findings showed that HMA students were weak in several measures of mathematics achievement, but not in reading and writing skills, and that students with HMA reported lower scores on short-term memory and WM performances (with associated difficulties in inhibiting irrelevant information) than children with LMA. In addition, a logistic regression showed that weaknesses in inhibitory control and fact retrieval were the strongest variables for classifying children as having HMA or LMA. PMID:26869951
Home | National Inventors Hall of Fame
Math (STEM) based programming, connecting inquisitive minds with skills that will serve them for a , Technology, Engineering, and Math (STEM) thinking. REGISTER NOW "Camp Invention has been, and continues your child learns science, technology, engineering and math in a weeklong experience that taps into the
Color Your Classroom II. A Math Curriculum Guide.
ERIC Educational Resources Information Center
Mississippi State Dept. of Education, Jackson.
This math curriculum guide, correlated with the numerical coding of the Math Skills List published by the Migrant Student Record Transfer System, covers 10 learning areas: readiness, number meaning, whole numbers, fractions, decimals, percent, measurement, geometry, probability and statistics, and sets. Each exercise is illustrated by a large…
Opening the World of Mathematics: The Daily Math Discussion
ERIC Educational Resources Information Center
Donoahue, Zoe
2016-01-01
During the author's everyday math discussions with her class, young children talk about mathematical ideas, theories, and concepts within a predictable structure. These discussions include many concepts from--and beyond--the first-grade math curriculum, and their depth and complexity build throughout the school year. Concepts and skills include…
Prediction and Stability of Mathematics Skill and Difficulty
ERIC Educational Resources Information Center
Martin, Rebecca B.; Cirino, Paul T.; Barnes, Marcia A.; Ewing-Cobbs, Linda; Fuchs, Lynn S.; Stuebing, Karla K.; Fletcher, Jack M.
2013-01-01
The present study evaluated the stability of math learning difficulties over a 2-year period and investigated several factors that might influence this stability (categorical vs. continuous change, liberal vs. conservative cut point, broad vs. specific math assessment); the prediction of math performance over time and by performance level was also…
ERIC Educational Resources Information Center
Nelson, Barbara Scott; Sassi, Annette
2007-01-01
The combination of new instructional methods and new accountability pressures puts many in a quandary in evaluating math instruction. There is much for principals to learn about how and under what conditions new instructional methods work in math classrooms, how to support teachers as they develop new instructional skills, and how to integrate a…
Performance in Mathematical Problem Solving as a Function of Comprehension and Arithmetic Skills
ERIC Educational Resources Information Center
Voyer, Dominic
2011-01-01
Many factors influence a student's performance in word (or textbook) problem solving in class. Among them is the comprehension process the pupils construct during their attempt to solve the problem. The comprehension process may include some less formal representations, based on pupils' real-world knowledge, which support the construction of a…
ERIC Educational Resources Information Center
Root, Jenny R.; Browder, Diane M.; Saunders, Alicia F.; Lo, Ya-yu
2017-01-01
The current study evaluated the effects of modified schema-based instruction on the mathematical word problem solving skills of three elementary students with autism spectrum disorders and moderate intellectual disability. Participants learned to solve compare problem type with themes that related to their interests and daily experiences. In…
Cognitive, sensory, and psychosocial characteristics in patients with Bardet-Biedl syndrome.
Brinckman, Danielle D; Keppler-Noreuil, Kim M; Blumhorst, Catherine; Biesecker, Leslie G; Sapp, Julie C; Johnston, Jennifer J; Wiggs, Edythe A
2013-12-01
Forty-two patients with a clinical diagnosis of Bardet-Biedl syndrome ages 2-61 years were given a neuropsychological test battery to evaluate cognitive, sensory, and behavioral functioning. These tests included the Wechsler scales of intelligence, Rey Auditory Verbal Learning Test, Boston Naming Test, D-KEFS Verbal Fluency Test, D-KEFS Color-Word Interference Test, D-KEFS Sorting Test, Wide Range Achievement Test: Math and Reading Subtests, Purdue Pegboard, The University of Pennsylvania Smell Identification Test, Social Communication Questionnaire, Social Responsiveness Scale, and Behavior Assessment System for Children, Second Edition, Parent Rating Scale. On the age appropriate Wechsler scale, the mean Verbal Comprehension was 81 (n = 36), Working Memory was 81 (n = 36), Perceptual Reasoning was 78 (n = 24) and Full Scale IQ was 75 (n = 26). Memory for a word list (Rey Auditory Verbal Learning Test) was in the average range with a mean of 89 (n = 19). Fine motor speed was slow on the Purdue with mean scores 3-4 standard deviations below norms. All subjects were microsmic on the University of Pennsylvania Smell Identification Test. Of these 42 patients, only 6 were able to complete all auditory and visual tests; 52% were unable to complete the visual tests due to impaired vision. A wide range of behavioral issues were endorsed on questionnaires given to parents. Most had social skill deficits but no pattern of either externalizing or internalizing problems. We identify a characteristic neuro-behavioral profile in our cohort comprised of reduced IQ, impaired fine-motor function, and decreased olfaction. © 2013 Wiley Periodicals, Inc.
Reading skill and word skipping: Implications for visual and linguistic accounts of word skipping.
Eskenazi, Michael A; Folk, Jocelyn R
2015-11-01
We investigated whether high-skill readers skip more words than low-skill readers as a result of parafoveal processing differences based on reading skill. We manipulated foveal load and word length, two variables that strongly influence word skipping, and measured reading skill using the Nelson-Denny Reading Test. We found that reading skill did not influence the probability of skipping five-letter words, but low-skill readers were less likely to skip three-letter words when foveal load was high. Thus, reading skill is likely to influence word skipping when the amount of information in the parafovea falls within the word identification span. We interpret the data in the context of visual-based (extended optimal viewing position model) and linguistic based (E-Z Reader model) accounts of word skipping. The models make different predictions about how and why a word and skipped; however, the data indicate that both models should take into account the fact that different factors influence skipping rates for high- and low-skill readers. (c) 2015 APA, all rights reserved).
ERIC Educational Resources Information Center
Education Commission of the States (NJ3), 2011
2011-01-01
According to the Bureau of Labor Statistics (BLS), jobs in computer systems design and related services--a field dependent on high-level math and problem-solving skills--are projected to grow by 45% between 2008 and 2018. Further, more than one in four (26%) of all new jobs created in the U.S. economy during this time will be in the healthcare and…
ERIC Educational Resources Information Center
Thurmond, Brandi
2011-01-01
This study sought to compare a data-rich learning (DRL) environment that utilized online data as a tool for teaching about renewable energy technologies (RET) to a lecture-based learning environment to determine the impact of the learning environment on students' knowledge of Science, Technology, Engineering, and Math (STEM) concepts related…
Increasing Communication in Geometry by Using a Personal Math Concept Chart
ERIC Educational Resources Information Center
Friedman, Rhonda; Kazerouni, Gety; Lax, Stacey; Weisdorf, Elli
2011-01-01
The action research team developed a "Personal Math Concept Chart". This chart required students to describe the mathematical concepts that they were studying in the Geometry strand of Mathematics using their own images and words. In this study, students were encouraged to express their own understanding of geometric concepts in order to…
... time when they are challenged with writing and math exercises. Generally, children with the disorder exhibit poor handwriting and spelling skills, and difficulty with math functions, including adding, subtracting, multiplying, and dividing. An ...
O'Connor, Patrick A; Morsanyi, Kinga; McCormack, Teresa
2018-01-25
Ordinality is a fundamental feature of numbers and recent studies have highlighted the role that number ordering abilities play in mathematical development (e.g., Lyons et al., ), as well as mature mathematical performance (e.g., Lyons & Beilock, ). The current study tested the novel hypothesis that non-numerical ordering ability, as measured by the ordering of familiar sequences of events, also plays an important role in maths development. Ninety children were tested in their first school year and 87 were followed up at the end of their second school year, to test the hypothesis that ordinal processing, including the ordering of non-numerical materials, would be related to their maths skills both cross-sectionally and longitudinally. The results confirmed this hypothesis. Ordinal processing measures were significantly related to maths both cross-sectionally and longitudinally, and children's non-numerical ordering ability in their first year of school (as measured by order judgements for everyday events and the parents' report of their child's everyday ordering ability) was the strongest longitudinal predictor of maths one year later, when compared to several measures that are traditionally considered to be important predictors of early maths development. Children's everyday ordering ability, as reported by parents, also significantly predicted growth in formal maths ability between Year 1 and Year 2, although this was not the case for the event ordering task. The present study provides strong evidence that domain-general ordering abilities play an important role in the development of children's maths skills at the beginning of formal education. © 2018 John Wiley & Sons Ltd.
Neuroanatomical correlates of performance in a state-wide test of math achievement.
Wilkey, Eric D; Cutting, Laurie E; Price, Gavin R
2018-03-01
The development of math skills is a critical component of early education and a strong indicator of later school and economic success. Recent research utilizing population-normed, standardized measures of math achievement suggest that structural and functional integrity of parietal regions, especially the intraparietal sulcus, are closely related to the development of math skills. However, it is unknown how these findings relate to in-school math learning. The present study is the first to address this issue by investigating the relationship between regional differences in grey matter (GM) volume and performance in grade-level mathematics as measured by a state-wide, school-based test of math achievement (TCAP math) in children from 3rd to 8th grade. Results show that increased GM volume in the bilateral hippocampal formation and the right inferior frontal gyrus, regions associated with learning and memory, is associated with higher TCAP math scores. Secondary analyses revealed that GM volume in the left angular gyrus had a stronger relationship to TCAP math in grades 3-4 than in grades 5-8 while the relationship between GM volume in the left inferior frontal gyrus and TCAP math was stronger for grades 5-8. These results suggest that the neuroanatomical architecture related to in-school math achievement differs from that related to math achievement measured by standardized tests, and that the most related neural structures differ as a function of grade level. We suggest, therefore, that the use of school-relevant outcome measures is critical if neuroscience is to bridge the gap to education. © 2017 John Wiley & Sons Ltd.
Gerholm, Tove; Hörberg, Thomas; Tonér, Signe; Kallioinen, Petter; Frankenberg, Sofia; Kjällander, Susanne; Palmer, Anna; Taguchi, Hillevi Lenz
2018-06-19
During the preschool years, children develop abilities and skills in areas crucial for later success in life. These abilities include language, executive functions, attention, and socioemotional skills. The pedagogical methods used in preschools hold the potential to enhance these abilities, but our knowledge of which pedagogical practices aid which abilities, and for which children, is limited. The aim of this paper is to describe an intervention study designed to evaluate and compare two pedagogical methodologies in terms of their effect on the above-mentioned skills in Swedish preschool children. The study is a randomized control trial (RCT) where two pedagogical methodologies were tested to evaluate how they enhanced children's language, executive functions and attention, socioemotional skills, and early maths skills during an intensive 6-week intervention. Eighteen preschools including 28 units and 432 children were enrolled in a municipality close to Stockholm, Sweden. The children were between 4;0 and 6;0 years old and each preschool unit was randomly assigned to either of the interventions or to the control group. Background information on all children was collected via questionnaires completed by parents and preschools. Pre- and post-intervention testing consisted of a test battery including tests on language, executive functions, selective auditive attention, socioemotional skills and early maths skills. The interventions consisted of 6 weeks of intensive practice of either a socioemotional and material learning paradigm (SEMLA), for which group-based activities and interactional structures were the main focus, or an individual, digitally implemented attention and math training paradigm, which also included a set of self-regulation practices (DIL). All preschools were evaluated with the ECERS-3. If this intervention study shows evidence of a difference between group-based learning paradigms and individual training of specific skills in terms of enhancing children's abilities in fundamental areas like language, executive functions and attention, socioemotional skills and early math, this will have big impact on the preschool agenda in the future. The potential for different pedagogical methodologies to have different impacts on children of different ages and with different backgrounds invites a wider discussion within the field of how to develop a preschool curriculum suited for all children.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Whitlow, B.
Family science is an informal science education program designed to teach science skills by having children and parents learn and enjoy science together. Aimed at addressing the underrepresentation of women and ethnic and racial minorities in science-based careers, FAMILY SCIENCE involves parents and children in kindergarten through eighth grade in science activities that demonstrate the role science plays in their daily life and future. Family involvement is the key to the program`s effectiveness. Family classes are usually offered in a series of one- to two-hour class meetings for parents and their children after school, evenings, and weekends. During classes, parentsmore » and children work in pairs and small groups to solve problems, work cooperatively, and talk science. The activities provide experiences for the entire family that build skills, confidence, and interest in science. In addition, guest speakers and career activities illustrate for parents in the workforce the significance of math and science in their own jobs, and for kids, it highlights the diversity of jobs and the relevance of math and science.« less
NASA Astrophysics Data System (ADS)
Wenner, J. M.; Baer, E. M.
2007-12-01
Introductory geoscience courses are rife with quantitative concepts from graphing to rates to unit conversions. Recent research suggests that supplementary mathematical instruction increases post-secondary students' retention and performance in science courses. Nonetheless, many geoscience faculty feel that they do not have enough time to cover all the geoscience content, let alone covering the math they often feel students should have learned before reaching their classes. We present our NSF-funded effort to create web modules for students that address these concerns. Our web resources focus on both student performance and faculty time issues by building students' quantitative skills through web-based, self-paced modular tutorials. Each module can be assigned to individual students who have demonstrated on a pre-test that they are in need of supplemental instruction. The pre-test involves problems that place mathematical concepts in a geoscience context and determines the students who need the most support with these skills. Students needing support are asked to complete a three-pronged web-based module just before the concept is needed in class. The three parts of each tutorial include: an explanation of the mathematics, a page of practice problems and an on-line quiz that is graded and sent to the instructor. Each of the modules is steeped in best practices in mathematics and geoscience education, drawing on multiple contexts and utilizing technology. The tutorials also provide students with further resources so that they can explore the mathematics in more depth. To assess the rigor of this program, students are given the pre-test again at the end of the course. The uniqueness of this program lies in a rich combination of mathematical concepts placed in multiple geoscience contexts, giving students the opportunity to explore the way that math relates to the physical world. We present several preliminary modules dealing with topics common in introductory geoscience courses. We seek feedback from faculty teaching all levels of geoscience addressing several questions: In what math/geoscience topics do you feel students need supplemental instruction? Where do students come up against quantitative topics that make them drop the class or perform poorly? Would you be willing to review or help us to test these modules in your class?
Garcia, Jeanette M; Huang, Terry T; Trowbridge, Matthew; Weltman, Arthur; Sirard, John R
2016-12-01
We compared the effects of traditional (stable) and non-traditional (dynamic) school furniture on children's physical activity (PA), energy expenditure (EE), information retention, and math skills. Participants were 12 students (8.3 years, 58 % boys) in grades 1-5. Participants wore an Actigraph GT3X+ accelerometer (to assess PA), and an Oxycon Mobile indirect calorimetry device (to assess EE) for 40 min (20 min for each session). Each session consisted of a nutrition lecture, multiple choice questions related to the lecture, and grade-appropriate math problems. We used paired t tests to examine differences between the stable and dynamic furniture conditions. Average activity counts were significantly greater in the dynamic than the stable furniture condition (40.82 vs. 9.81, p < 0.05). We found no significant differences between conditions for average oxygen uptake (p = 0.34), percentage of nutrition questions (p = 0.5), or math problems (p = 0.93) answered correctly. Movement was significantly greater in the dynamic than the stable furniture condition, and did not impede information acquisition or concentration. Future studies should compare the long-term effects of traditional and dynamic furniture on health and academic outcomes in schools and other settings.
Adams, Kim; Cook, Al
2016-01-01
A 12-year-old girl, Emily, with complex communication needs and severe physical limitations, controlled a Lego robot from a speech-generating device (SGD) to do various "hands-on" academic activities. Emily's teacher and assistive technology (AT) team thought that controlling a robot would motivate Emily to "use her SGD more". A descriptive case study was used because the integration of communication and manipulation technologies is not yet understood. Target activities and goals were chosen by Emily's teacher and AT team. Emily performed several manipulative math activities and engaged in an "acting" activity aimed at increasing her message length. The competency skills needed to control a robot from the SGD were examined, as well as stakeholder satisfaction with the robot system. Emily generated up to 0.4 communication events and 7 robot commands per minute in the activities. Her length of utterance was usually one-word long, but she generated two- and three-word utterances during some activities. Observations of Emily informed a framework to describe the competency skills needed to use SGDs to control robots. Emily and her teacher expressed satisfaction with robot use. Robot use could motivate students to build SGD operational skills and learn educational concepts. Implications for Rehabilitation Controlling a robot from a speech-generating device (SGD) could increase students' motivation, engagement and understanding in learning educational concepts, because of the hands-on enactive approach. The robot and SGD system was acceptable to the participant and teacher and elicited positive comments from classmates. Thus, it may provide a way for children with disabilities to link with the curriculum and with other students in the classroom. Controlling a robot via SGD presents opportunities to improve augmentative and alternative communication operational, linguistic, social and strategic skills. Careful choice of activities will ensure that the activity requirements focus on the desired target skill, e.g. drawing or playing board games could be helpful to build operational skills and acting out stories could be helpful for building linguistic skills.
ERIC Educational Resources Information Center
Smith, Christina R.; Marchand-Martella, Nancy E.; Martella, Ronald C.
2011-01-01
This study assessed the effects of the "Rocket Math" program on the math fluency skills of a first grade student at risk for school failure. The student received instruction in the "Rocket Math" program over 6 months. He was assessed using a pre- and posttest curriculum-based measurement (CBM) and individualized fluency checkouts within the…
Reading and listening comprehension and their relation to inattention and hyperactivity.
Cain, Kate; Bignell, Simon
2014-03-01
Children with diagnoses of attention-deficit/hyperactivity disorder (ADHD) frequently have reading problems. To date, it is not clear whether poor reading is associated with both inattention and hyperactivity and also whether poor reading comprehension is the result of poor word reading skills or more general language comprehension weaknesses. We report two studies to examine how reading and listening comprehension skills are related to inattention and hyperactivity/impulsivity. Separate groups of 7- to 11-year-olds participated in each study. In both studies, we used teacher ratings of inattention and hyperactivity/impulsivity to identify three groups at risk of ADHD: poor attention, high hyperactivity, poor attention and high hyperactivity, and also same-age controls. In Study 1, we explored how inattention and hyperactivity predicted reading after controlling for non-verbal IQ and vocabulary. In Study 2, we compared listening and reading comprehension in these groups. Poor attention was related to poor reading comprehension, although the relation was partially mediated by word reading skill (Study 1). Groups with high hyperactivity had weak listening comprehension relative to reading comprehension (Study 2). These results indicate that the reading comprehension problems of children with attention difficulties are related to poor word reading and that listening comprehension is particularly vulnerable in children at risk of ADHD. © 2013 The British Psychological Society.
Simple arithmetic: not so simple for highly math anxious individuals.
Chang, Hyesang; Sprute, Lisa; Maloney, Erin A; Beilock, Sian L; Berman, Marc G
2017-12-01
Fluency with simple arithmetic, typically achieved in early elementary school, is thought to be one of the building blocks of mathematical competence. Behavioral studies with adults indicate that math anxiety (feelings of tension or apprehension about math) is associated with poor performance on cognitively demanding math problems. However, it remains unclear whether there are fundamental differences in how high and low math anxious individuals approach overlearned simple arithmetic problems that are less reliant on cognitive control. The current study used functional magnetic resonance imaging to examine the neural correlates of simple arithmetic performance across high and low math anxious individuals. We implemented a partial least squares analysis, a data-driven, multivariate analysis method to measure distributed patterns of whole-brain activity associated with performance. Despite overall high simple arithmetic performance across high and low math anxious individuals, performance was differentially dependent on the fronto-parietal attentional network as a function of math anxiety. Specifically, low-compared to high-math anxious individuals perform better when they activate this network less-a potential indication of more automatic problem-solving. These findings suggest that low and high math anxious individuals approach even the most fundamental math problems differently. © The Author (2017). Published by Oxford University Press.