Language of Physics, Language of Math: Disciplinary Culture and Dynamic Epistemology

NASA Astrophysics Data System (ADS)

Redish, Edward F.; Kuo, Eric

2015-07-01

Mathematics is a critical part of much scientific research. Physics in particular weaves math extensively into its instruction beginning in high school. Despite much research on the learning of both physics and math, the problem of how to effectively include math in physics in a way that reaches most students remains unsolved. In this paper, we suggest that a fundamental issue has received insufficient exploration: the fact that in science, we don't just use math, we make meaning with it in a different way than mathematicians do. In this reflective essay, we explore math as a language and consider the language of math in physics through the lens of cognitive linguistics. We begin by offering a number of examples that show how the use of math in physics differs from the use of math as typically found in math classes. We then explore basic concepts in cognitive semantics to show how humans make meaning with language in general. The critical elements are the roles of embodied cognition and interpretation in context. Then, we show how a theoretical framework commonly used in physics education research, resources, is coherent with and extends the ideas of cognitive semantics by connecting embodiment to phenomenological primitives and contextual interpretation to the dynamics of meaning-making with conceptual resources, epistemological resources, and affect. We present these ideas with illustrative case studies of students working on physics problems with math and demonstrate the dynamical nature of student reasoning with math in physics. We conclude with some thoughts about the implications for instruction.

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…

Relation Between Mathematical Performance, Math Anxiety, and Affective Priming in Children With and Without Developmental Dyscalculia.

PubMed

Kucian, Karin; Zuber, Isabelle; Kohn, Juliane; Poltz, Nadine; Wyschkon, Anne; Esser, Günter; von Aster, Michael

2018-01-01

Many children show negative emotions related to mathematics and some even develop mathematics anxiety. The present study focused on the relation between negative emotions and arithmetical performance in children with and without developmental dyscalculia (DD) using an affective priming task. Previous findings suggested that arithmetic performance is influenced if an affective prime precedes the presentation of an arithmetic problem. In children with DD specifically, responses to arithmetic operations are supposed to be facilitated by both negative and mathematics-related primes (= negative math priming effect ).We investigated mathematical performance, math anxiety, and the domain-general abilities of 172 primary school children (76 with DD and 96 controls). All participants also underwent an affective priming task which consisted of the decision whether a simple arithmetic operation (addition or subtraction) that was preceded by a prime (positive/negative/neutral or mathematics-related) was true or false. Our findings did not reveal a negative math priming effect in children with DD. Furthermore, when considering accuracy levels, gender, or math anxiety, the negative math priming effect could not be replicated. However, children with DD showed more math anxiety when explicitly assessed by a specific math anxiety interview and showed lower mathematical performance compared to controls. Moreover, math anxiety was equally present in boys and girls, even in the earliest stages of schooling, and interfered negatively with performance. In conclusion, mathematics is often associated with negative emotions that can be manifested in specific math anxiety, particularly in children with DD. Importantly, present findings suggest that in the assessed age group, it is more reliable to judge math anxiety and investigate its effects on mathematical performance explicitly by adequate questionnaires than by an affective math priming task.

Relation Between Mathematical Performance, Math Anxiety, and Affective Priming in Children With and Without Developmental Dyscalculia

PubMed Central

Kucian, Karin; Zuber, Isabelle; Kohn, Juliane; Poltz, Nadine; Wyschkon, Anne; Esser, Günter; von Aster, Michael

2018-01-01

Many children show negative emotions related to mathematics and some even develop mathematics anxiety. The present study focused on the relation between negative emotions and arithmetical performance in children with and without developmental dyscalculia (DD) using an affective priming task. Previous findings suggested that arithmetic performance is influenced if an affective prime precedes the presentation of an arithmetic problem. In children with DD specifically, responses to arithmetic operations are supposed to be facilitated by both negative and mathematics-related primes (=negative math priming effect).We investigated mathematical performance, math anxiety, and the domain-general abilities of 172 primary school children (76 with DD and 96 controls). All participants also underwent an affective priming task which consisted of the decision whether a simple arithmetic operation (addition or subtraction) that was preceded by a prime (positive/negative/neutral or mathematics-related) was true or false. Our findings did not reveal a negative math priming effect in children with DD. Furthermore, when considering accuracy levels, gender, or math anxiety, the negative math priming effect could not be replicated. However, children with DD showed more math anxiety when explicitly assessed by a specific math anxiety interview and showed lower mathematical performance compared to controls. Moreover, math anxiety was equally present in boys and girls, even in the earliest stages of schooling, and interfered negatively with performance. In conclusion, mathematics is often associated with negative emotions that can be manifested in specific math anxiety, particularly in children with DD. Importantly, present findings suggest that in the assessed age group, it is more reliable to judge math anxiety and investigate its effects on mathematical performance explicitly by adequate questionnaires than by an affective math priming task. PMID:29755376

Simple arithmetic: not so simple for highly math anxious individuals.

PubMed

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.

Simple arithmetic: not so simple for highly math anxious individuals

PubMed Central

Sprute, Lisa; Maloney, Erin A; Beilock, Sian L; Berman, Marc G

2017-01-01

Abstract 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. PMID:29140499

Wine and maths: mathematical solutions to wine-inspired problems

NASA Astrophysics Data System (ADS)

Cadeddu, L.; Cauli, A.

2018-04-01

We deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth z0 of a wine cellar in order to attenuate the periodic temperature fluctuations. What follows is a kind of survey of wine-related and optimization problems which have been solved by means of powerful math tools.

The effect of negative performance stereotypes on learning.

PubMed

Rydell, Robert J; Rydell, Michael T; Boucher, Kathryn L

2010-12-01

Stereotype threat (ST) research has focused exclusively on how negative group stereotypes reduce performance. The present work examines if pejorative stereotypes about women in math inhibit their ability to learn the mathematical rules and operations necessary to solve math problems. In Experiment 1, women experiencing ST had difficulty encoding math-related information into memory and, therefore, learned fewer mathematical rules and showed poorer math performance than did controls. In Experiment 2, women experiencing ST while learning modular arithmetic (MA) performed more poorly than did controls on easy MA problems; this effect was due to reduced learning of the mathematical operations underlying MA. In Experiment 3, ST reduced women's, but not men's, ability to learn abstract mathematical rules and to transfer these rules to a second, isomorphic task. This work provides the first evidence that negative stereotypes about women in math reduce their level of mathematical learning and demonstrates that reduced learning due to stereotype threat can lead to poorer performance in negatively stereotyped domains. PsycINFO Database Record (c) 2010 APA, all rights reserved.

Students' confidence in the ability to transfer basic math skills in introductory physics and chemistry courses at a community college

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.

The role of expressive writing in math anxiety.

PubMed

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.

Performance Patterns of High, Medium, and Low Performers during and following a Reward versus Non-Reward Contingency Phase

ERIC Educational Resources Information Center

Oliver, Renee; Williams, Robert L.

2006-01-01

Three contingency conditions were applied to the math performance of 4th and 5th graders: bonus credit for accurately solving math problems, bonus credit for completing math problems, and no bonus credit for accurately answering or completing math problems. Mixed ANOVAs were used in tracking the performance of high, medium, and low performers…

Mathematics/Arithmetic Knowledge-Based Way of Thinking and Its Maintenance Needed for Engineers

NASA Astrophysics Data System (ADS)

Harada, Shoji

Examining curriculum among universities revealed that no significant difference in math class or related subjects can be seen. However, amount and depth of those studies, in general, differed depending on content of curriculum and the level of achievement at entrance to individual university. Universalization of higher education shows that students have many problems in learning higher level of traditional math and that the memory of math they learned quickly fades away after passing in exam. It means that further development of higher math knowledgebased engineer after graduation from universities. Under these circumstances, the present author, as one of fun of math, propose how to maintain way of thinking generated by math knowledge. What necessary for engineer is to pay attention to common books, dealing with elementary mathematics or arithmetic- related matters. This surely leads engineer to nourish math/arithmetic knowledge-based way of thinking.

The Effects of Computerized Instruction and Systematic Presentation and Review of Math Fact Acquisition and Fluency

ERIC Educational Resources Information Center

Reynolds, Jennifer L.

2010-01-01

Cross country investigations have repeatedly demonstrated the disappointing math performance of students in the United States (Beatty, 1997; Ferrini-Mundy & Schmidt, 2005). The National Council of Teachers of Mathematics (2000) listed failure to rapidly recall basic facts as a common problem associated with disabilities in mathematics and…

The ABCs of Math: A Genetic Analysis of Mathematics and Its Links With Reading Ability and General Cognitive Ability

PubMed Central

Hart, Sara A.; Petrill, Stephen A.; Thompson, Lee A.; Plomin, Robert

2009-01-01

The goal of this first major report from the Western Reserve Reading Project Math component is to explore the etiology of the relationship among tester-administered measures of mathematics ability, reading ability, and general cognitive ability. Data are available on 314 pairs of monozygotic and same-sex dizygotic twins analyzed across 5 waves of assessment. Univariate analyses provide a range of estimates of genetic (h2 = .00 –.63) and shared (c2 = .15–.52) environmental influences across math calculation, fluency, and problem solving measures. Multivariate analyses indicate genetic overlap between math problem solving with general cognitive ability and reading decoding, whereas math fluency shares significant genetic overlap with reading fluency and general cognitive ability. Further, math fluency has unique genetic influences. In general, math ability has shared environmental overlap with general cognitive ability and decoding. These results indicate that aspects of math that include problem solving have different genetic and environmental influences than math calculation. Moreover, math fluency, a timed measure of calculation, is the only measured math ability with unique genetic influences. PMID:20157630

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…

Getting Started with The Math Forum Problems of the Week Library. Teacher's Guide

ERIC Educational Resources Information Center

Math Forum @ Drexel, 2009

2009-01-01

The Math Forum Problems of the Week Library is designed to leverage the power of interactive technology to hold student interest while increasing their success as strategic thinkers. The Math Forum Library is an online source of non-routine challenges in which problem solving and mathematical communication are key elements of every problem. This…

Math Ties: Problem Solving, Logic Teasers, and Math Puzzles All "Tied" to the Math Curriculum. Book A1.

ERIC Educational Resources Information Center

Santi, Terri

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 4-6, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, whole numbers, number theory, fractions, decimals, geometry, ratio, proportion, percent, probability, sets, and…

Gardner's Two Children Problems and Variations: Puzzles with Conditional Probability and Sample Spaces

ERIC Educational Resources Information Center

Taylor, Wendy; Stacey, Kaye

2014-01-01

This article presents "The Two Children Problem," published by Martin Gardner, who wrote a famous and widely-read math puzzle column in the magazine "Scientific American," and a problem presented by puzzler Gary Foshee. This paper explains the paradox of Problems 2 and 3 and many other variations of the theme. Then the authors…

Mathematics achievement and anxiety and their relation to internalizing and externalizing behaviors.

PubMed

Wu, Sarah S; Willcutt, Erik G; Escovar, Emily; Menon, Vinod

2014-01-01

Although behavioral difficulties are well documented in reading disabilities, little is known about the relationship between math ability and internalizing and externalizing behaviors. Here, we use standardized measures to investigate the relation among early math ability, math anxiety, and internalizing and externalizing behaviors in a group of 366 second and third graders. Math achievement was significantly correlated with attentional difficulties and social problems but not with internalizing symptoms. The relation between math achievement and externalizing behavioral problems was stronger in girls than in boys. Math achievement was not correlated with trait anxiety but was negatively correlated with math anxiety. Critically, math anxiety differed significantly between children classified as math learning disabled (MLD), low achieving (LA), and typically developing (TD), with math anxiety significantly higher in the MLD and LA groups compared to the TD group. Our findings suggest that, even in nonclinical samples, math difficulties at the earliest stages of formal math learning are associated with attentional difficulties and domain-specific anxiety. These findings underscore the need for further examination of the shared cognitive, neural, and genetic influences underlying problem solving and nonverbal learning difficulties and accompanying internalizing and externalizing behaviors. © Hammill Institute on Disabilities 2013.

Mathematics Achievement and Anxiety and Their Relation to Internalizing and Externalizing Behaviors

PubMed Central

Wu, Sarah S.; Willcutt, Erik G.; Escovar, Emily; Menon, Vinod

2013-01-01

Although behavioral difficulties are well documented in reading disabilities, little is known about the relationship between math ability and internalizing and externalizing behaviors. Here, we use standardized measures to investigate the relation among early math ability, math anxiety, and internalizing and externalizing behaviors in a group of 366 second and third graders. Math achievement was significantly correlated with attentional difficulties and social problems but not with internalizing symptoms. The relation between math achievement and externalizing behavioral problems was stronger in girls than in boys. Math achievement was not correlated with trait anxiety but was negatively correlated with math anxiety. Critically, math anxiety differed significantly between children classified as math learning disabled (MLD), low achieving (LA), and typically developing (TD), with math anxiety significantly higher in the MLD and LA groups compared to the TD group. Our findings suggest that, even in nonclinical samples, math difficulties at the earliest stages of formal math learning are associated with attentional difficulties and domain-specific anxiety. These findings underscore the need for further examination of the shared cognitive, neural, and genetic influences underlying problem solving and nonverbal learning difficulties and accompanying internalizing and externalizing behaviors. PMID:23313869

Challenges in Math.

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)

Mathematics learning disabilities in girls with fragile X or Turner syndrome during late elementary school.

PubMed

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.

Math Ties: Problem Solving, Logic Teasers, and Math Puzzles All "Tied" To the Math Curriculum. Book B1.

ERIC Educational Resources Information Center

Santi, Terri

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 6-8, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, exponents, fractions, pre-algebra, algebra, geometry, number theory, set theory, ratio, proportion, percent, probability,…

Solving Math and Science Problems in the Real World with a Computational Mind

ERIC Educational Resources Information Center

Olabe, Juan Carlos; Basogain, Xabier; Olabe, Miguel Ángel; Maíz, Inmaculada; Castaño, Carlos

2014-01-01

This article presents a new paradigm for the study of Math and Sciences curriculum during primary and secondary education. A workshop for Education undergraduates at four different campuses (n = 242) was designed to introduce participants to the new paradigm. In order to make a qualitative analysis of the current school methodologies in…

Conservation Abilities, Visuospatial Skills, and Numerosity Processing Speed: Association with Math Achievement and Math Difficulties in Elementary School Children

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…

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…

Effects of Preventative Tutoring on the Mathematical Problem Solving of Third-Grade Students With Math and Reading Difficulties.

PubMed

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.

Effects of Preventative Tutoring on the Mathematical Problem Solving of Third-Grade Students With Math and Reading Difficulties

PubMed Central

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

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…

Do We Need Remedial College Math Courses?

NASA Astrophysics Data System (ADS)

Hughes, Anne O.; Khatri, D.

2006-12-01

Entering college freshmen, in increasing numbers, in practically every public institution of higher learning are in need of one or two remedial math courses. This is particularly a big problem at the Historically Black Colleges and Universities where a large number of remedial math course sections are offered to meet the growing demand for such courses. For most of these students, graduation is delayed by at least a year. In addition, these students continue to be taught by teaching methodologies that did not work for them even in high schools resulting in disgust and hatred for math. This situation makes entry for these students into STEM areas difficult and is the perfect recipe for failure in STEM disciplines if they enroll in college level courses. The University of the District of Columbia (UDC) is no exception. A first attempt was made in summer 2006 to remedy this situation. The problem for this exploratory research study was to ascertain if a short, intensive six-week project in basic math and introductory algebra would produce a recognizable improvement in the math performance of entering UDC freshmen students as measured by the UDC math placement test. The results are eye opening. On the pre-test for basic math (005), the mean score for the group (N=10) was 35.6, with the passing score being 70. On the post-test, the mean increased to 63.4 showing an improvement of 78 percent. The authors will present the results of this research study at the conference

Educational consequences of developmental speech disorder: Key Stage 1 National Curriculum assessment results in English and mathematics.

PubMed

Nathan, Liz; Stackhouse, Joy; Goulandris, Nata; Snowling, Margaret J

2004-06-01

Children with speech difficulties may have associated educational problems. This paper reports a study examining the educational attainment of children at Key Stage 1 of the National Curriculum who had previously been identified with a speech difficulty. (1) To examine the educational attainment at Key Stage 1 of children diagnosed with speech difficulties two/three years prior to the present study. (2) To compare the Key Stage 1 assessment results of children whose speech problems had resolved at the time of assessment with those whose problems persisted. Data were available from 39 children who had an earlier diagnosis of speech difficulties at age 4/5 (from an original cohort of 47) at the age of 7. A control group of 35 children identified and matched at preschool on age, nonverbal ability and gender provided comparative data. Results of Statutory Assessment Tests (SATs) in reading, reading comprehension, spelling, writing and maths, administered to children at the end of Year 2 of school were analysed. Performance across the two groups was compared. Performance was also compared to published statistics on national levels of attainment. Children with a history of speech difficulties performed less well than controls on reading, spelling and maths. However, children whose speech problems had resolved by the time of assessment performed no differently to controls. Children with persisting speech problems performed less well than controls on tests of literacy and maths. Spelling performance was a particular area of difficulty for children with persisting speech problems. Children with speech difficulties are likely to perform less well than expected on literacy and maths SAT's at age 7. Performance is related to whether the speech problem resolves early on and whether associated language problems exist. Whilst it is unclear whether poorer performance on maths is because of the language components of this task, the results indicate that speech problems, especially persisting ones, can affect the ability to access the National Curriculum to expected levels.

Effects of Small-Group Tutoring with and without Validated Classroom Instruction on At-Risk Students' Math Problem Solving: Are Two Tiers of Prevention Better Than One?

PubMed

Fuchs, Lynn S; Fuchs, Douglas; Craddock, Caitlin; Hollenbeck, Kurstin N; Hamlett, Carol L; Schatschneider, Christopher

2008-01-01

The purpose of this study was to assess the effects of small-group tutoring with and without validated classroom instruction on at-risk (AR) students' math problem solving. Stratifying within schools, 119 3(rd)-grade classes were randomly assigned to conventional or validated problem-solving instruction (Hot Math [schema-broadening instruction]). Students identified as AR (n = 243) were randomly assigned, within classroom conditions, to receive Hot Math tutoring or not. Students were tested on problem-solving and math applications measures before and after 16 weeks of intervention. Analyses of variance, which accounted for the nested structure of the data, revealed the tutored students who received validated classroom instruction achieved better than tutored students who received conventional classroom instruction (ES = 1.34). However, the advantage for tutoring over no tutoring was similar whether or not students received validated or conventional classroom instruction (ESs = 1.18 and 1.13). Tutoring, not validated classroom instruction reduced the prevalence of math difficulty. Implications for responsiveness-to-intervention prevention models and for enhancing math problem-solving instruction are discussed.

Effects of Small-Group Tutoring with and without Validated Classroom Instruction on At-Risk Students' Math Problem Solving: Are Two Tiers of Prevention Better Than One?

PubMed Central

Fuchs, Lynn S.; Fuchs, Douglas; Craddock, Caitlin; Hollenbeck, Kurstin N.; Hamlett, Carol L.; Schatschneider, Christopher

2008-01-01

The purpose of this study was to assess the effects of small-group tutoring with and without validated classroom instruction on at-risk (AR) students' math problem solving. Stratifying within schools, 119 3rd-grade classes were randomly assigned to conventional or validated problem-solving instruction (Hot Math [schema-broadening instruction]). Students identified as AR (n = 243) were randomly assigned, within classroom conditions, to receive Hot Math tutoring or not. Students were tested on problem-solving and math applications measures before and after 16 weeks of intervention. Analyses of variance, which accounted for the nested structure of the data, revealed the tutored students who received validated classroom instruction achieved better than tutored students who received conventional classroom instruction (ES = 1.34). However, the advantage for tutoring over no tutoring was similar whether or not students received validated or conventional classroom instruction (ESs = 1.18 and 1.13). Tutoring, not validated classroom instruction reduced the prevalence of math difficulty. Implications for responsiveness-to-intervention prevention models and for enhancing math problem-solving instruction are discussed. PMID:19122881

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…

Pain is Associated With Poorer Grades, Reduced Emotional Well-Being, and Attention Problems in Adolescents.

PubMed

Voerman, Jessica S; de Klerk, Cora; Vander Heyden, Karin M; Passchier, Jan; Idema, Wietske; Timman, Reinier; Jolles, Jelle

2017-01-01

The purpose of the present study was to determine whether pain is associated with specific aspects of academic performance, that is, poorer grades, and with factors critical to an adolescent's academic performance, that is, decreased emotional well-being and attention problems. We hypothesized that the association between pain and school grades is mediated by emotional well-being and attention problems. In a cross-sectional study, we collected data from 2215 pupils, ages 12 to 13 years. Pain (no, occasional, and frequent), emotional well-being, and attention problems were measured with self-rating scales. Dutch, English, and math grades were taken as an index of academic performance. Frequent pain in adolescents was associated with poorer grades (Dutch P=0.02 and math P=0.01). Both occasional and frequent pain were associated with reduced emotional well-being (P<0.001) and reduced self-reported attention (P<0.001). However, the association between pain and lower grades disappeared when controlling for emotional well-being and attention. The present study shows that the association between pain and Dutch adolescents grades is mediated by reduced emotional well-being and attention problems. The association between pain and math grades is mediated by emotional problems. The results suggest that an intervention targeted at pain in adolescents could have a positive effect on their emotional well-being, attention, and school performance.

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.…

The Effects of Cognitive Strategy Instruction on Knowledge of Math Problem-Solving Processes of Middle School Students with Learning Disabilities

ERIC Educational Resources Information Center

Krawec, Jennifer; Huang, Jia; Montague, Marjorie; Kressler, Benikia; de Alba, Amanda Melia

2013-01-01

This study investigated the effectiveness of "Solve It!" instruction on students' knowledge of math problem-solving strategies. "Solve It!" is a cognitive strategy intervention designed to improve the math problem solving of middle school students with learning disabilities (LD). Participants included seventh- and eighth-grade…

Going for a Swim

ERIC Educational Resources Information Center

Covington, Savannah

2016-01-01

Is anything more refreshing than going for a nice, long swim? The math scenarios presented in this article will take the reader back to hot summer days and remind the reader what a cool dip in the water feels like. Solving these problems is enjoyable and encourages the solver to think of the many ways that math is all around--even in the middle of…

No Work Like Rework: Issues in the Design of a Math Test Sign-Up Application

ERIC Educational Resources Information Center

Alkadi, Ghassan; Beaubouef, Theresa

2012-01-01

This paper introduces a test sign-up application developed for a math department at a university. The requirements, design, and final software product are presented, along with one very important unexpected problem that arose after completion of the work--the system to be implemented and maintained by the client was not compatible with the…

Effects of peer tutoring and consequences on the math performance of elementary classroom students1

PubMed Central

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

Etiological Distinction of Working Memory Components in Relation to Mathematics

PubMed Central

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

Identifying controlling variables for math computation fluency through experimental analysis: the interaction of stimulus control and reinforcing consequences.

PubMed

Hofstadter-Duke, Kristi L; Daly, Edward J

2015-03-01

This study investigated a method for conducting experimental analyses of academic responding. In the experimental analyses, academic responding (math computation), rather than problem behavior, was reinforced across conditions. Two separate experimental analyses (one with fluent math computation problems and one with non-fluent math computation problems) were conducted with three elementary school children using identical contingencies while math computation rate was measured. Results indicate that the experimental analysis with non-fluent problems produced undifferentiated responding across participants; however, differentiated responding was achieved for all participants in the experimental analysis with fluent problems. A subsequent comparison of the single-most effective condition from the experimental analyses replicated the findings with novel computation problems. Results are discussed in terms of the critical role of stimulus control in identifying controlling consequences for academic deficits, and recommendations for future research refining and extending experimental analysis to academic responding are made. © The Author(s) 2014.

On optimal dividends: From reflection to refraction

NASA Astrophysics Data System (ADS)

Gerber, Hans U.; Shiu, Elias S. W.

2006-02-01

The problem goes back to a paper that Bruno de Finetti presented to the International Congress of Actuaries in New York (1957). In a stock company that is involved in risky business, what is the optimal dividend strategy, that is, what is the strategy that maximizes the expectation of the discounted dividends (until possible ruin) to the shareholders? Jeanblanc-Picque and Shiryaev [Russian Math. Surveys 20 (1995) 257-277] and Asmussen and Taksar [Insurance: Math. Econom. 20 (1997) 1-15] solved the problem by modeling the income process of the company by a Wiener process and imposing the condition of a bounded dividend rate. Here, we present some down-to-earth calculations in this context.

The impact of behavioural executive functioning and intelligence on math abilities in children with intellectual disabilities.

PubMed

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.

Clinical and Cognitive Characteristics Associated with Mathematics Problem Solving in Adolescents with Autism Spectrum Disorder.

PubMed

Oswald, Tasha M; Beck, Jonathan S; Iosif, Ana-Maria; McCauley, James B; Gilhooly, Leslie J; Matter, John C; Solomon, Marjorie

2016-04-01

Mathematics achievement in autism spectrum disorder (ASD) has been understudied. However, the ability to solve applied math problems is associated with academic achievement, everyday problem-solving abilities, and vocational outcomes. The paucity of research on math achievement in ASD may be partly explained by the widely-held belief that most individuals with ASD are mathematically gifted, despite emerging evidence to the contrary. The purpose of the study was twofold: to assess the relative proportions of youth with ASD who demonstrate giftedness versus disability on applied math problems, and to examine which cognitive (i.e., perceptual reasoning, verbal ability, working memory) and clinical (i.e., test anxiety) characteristics best predict achievement on applied math problems in ASD relative to typically developing peers. Twenty-seven high-functioning adolescents with ASD and 27 age- and Full Scale IQ-matched typically developing controls were assessed on standardized measures of math problem solving, perceptual reasoning, verbal ability, and test anxiety. Results indicated that 22% of the ASD sample evidenced a mathematics learning disability, while only 4% exhibited mathematical giftedness. The parsimonious linear regression model revealed that the strongest predictor of math problem solving was perceptual reasoning, followed by verbal ability and test anxiety, then diagnosis of ASD. These results inform our theories of math ability in ASD and highlight possible targets of intervention for students with ASD struggling with mathematics. © 2015 International Society for Autism Research, Wiley Periodicals, Inc.

Math Is Not a Problem...When You Know How to Visualize It.

ERIC Educational Resources Information Center

Nelson, Dennis W.

1983-01-01

Visualization is an effective technique for determining exactly what students must do to solve a mathematics problem. Pictures and charts can be used to help children understand which mathematics facts are present and which are missing--an important step toward problem solving. (PP)

The Effect of Cognitively Guided Instruction on Primary Students' Math Achievement, Problem-Solving Abilities and Teacher Questioning

ERIC Educational Resources Information Center

Medrano, Juan

2012-01-01

The purpose of this study is to impact the teaching and learning of math of 2nd through 4th grade math students at Porfirio H. Gonzales Elementary School. The Cognitively Guided Instruction (CGI) model serves as the independent variable for this study. Its intent is to promote math instruction that emphasizes problem-solving to a greater degree…

Attentional Cuing in Math Word Problems for Girls At-Risk for ADHD and Their Peers in General Education Settings

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…

Problem Posing and Problem Solving in a Math Teacher's Circle

ERIC Educational Resources Information Center

Appleton, Eric; Farina, Solange; Holzer, Tyler; Kotelawala, Usha; Trushkowsky, Mark

2017-01-01

This article describes the New York City Community of Adult Math Instructors (CAMI), a math teachers' circle founded in November 2014. The authors share details about their own participation in CAMI to show the professional growth that research-based, peer-led professional development can offer for adult educators.

What Are the Symptoms of Learning Disabilities?

MedlinePlus

... 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 ...

Individualized Math Problems in Percent. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. This volume includes problems concerned with computing percents.…

Individualized Math Problems in Fractions. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. This package contains problems involving computation with common…

Individualized Math Problems in Geometry. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. The volume contains problems in applied geometry. Measurement of…

Individualized Math Problems in Measurement and Conversion. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. This volume includes problems involving measurement, computation of…

WWC Review of the Report "The Effects of Cognitive Strategy Instruction on Math Problem Solving of Middle School Students of Varying Ability." What Works Clearinghouse Single Study Review

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…

A Latent Profile Analysis of Math Achievement, Numerosity, and Math Anxiety in Twins

ERIC Educational Resources Information Center

Hart, Sara A.; Logan, Jessica A. R.; Thompson, Lee; Kovas, Yulia; McLoughlin, Gráinne; Petrill, Stephen A.

2016-01-01

Underperformance in math is a problem with increasing prevalence, complex etiology, and severe repercussions. This study examined the etiological heterogeneity of math performance in a sample of 264 pairs of 12-year-old twins assessed on measures of math achievement, numerosity, and math anxiety. Latent profile analysis indicated 5 groupings of…

Math Teachers' Attitudes towards Photo Math Application in Solving Mathematical Problem Using Mobile Camera

ERIC Educational Resources Information Center

Hamadneh, Iyad M.; Al-Masaeed, Aslan

2015-01-01

This study aimed at finding out mathematics teachers' attitudes towards photo math application in solving mathematical problems using mobile camera; it also aim to identify significant differences in their attitudes according to their stage of teaching, educational qualifications, and teaching experience. The study used judgmental/purposive…

The Effects of Math Anxiety

ERIC Educational Resources Information Center

Andrews, Amanda; Brown, Jennifer

2015-01-01

Math anxiety is a reoccurring problem for many students, and the effects of this anxiety on college students are increasing. The purpose of this study was to examine the association between pre-enrollment math anxiety, standardized test scores, math placement scores, and academic success during freshman math coursework (i.e., pre-algebra, college…

Individualized Math Problems in Ratio and Proportion. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. This volume contains problems involving ratio and proportion. Some…

Individualized Math Problems in Whole Numbers. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this set require computations involving whole numbers.…

Individualized Math Problems in Graphs and Tables. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems involving the construction and interpretation of graphs and…

Individualized Math Problems in Simple Equations. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this volume require solution of linear equations, systems…

Individualized Math Problems in Trigonometry. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this volume require the use of trigonometric and inverse…

Individualized Math Problems in Decimals. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

THis is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this volume concern use of decimals and are related to the…

Individualized Math Problems in Volume. Oregon Vo-Tech Mathematics Problem Sets.

ERIC Educational Resources Information Center

Cosler, Norma, Ed.

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this booklet require the computation of volumes of solids,…

The Influence of Experiencing Success in Math on Math Anxiety, Perceived Math Competence, and Math Performance

ERIC Educational Resources Information Center

Jansen, Brenda R. J.; Louwerse, Jolien; Straatemeier, Marthe; Van der Ven, Sanne H. G.; Klinkenberg, Sharon; Van der Maas, Han L. J.

2013-01-01

It was investigated whether children would experience less math anxiety and feel more competent when they, independent of ability level, experienced high success rates in math. Comparable success rates were achieved by adapting problem difficulty to individuals' ability levels with a computer-adaptive program. A total of 207 children (grades 3-6)…

Data dependence for the amplitude equation of surface waves

NASA Astrophysics Data System (ADS)

Secchi, Paolo

2016-04-01

We consider the amplitude equation for nonlinear surface wave solutions of hyperbolic conservation laws. This is an asymptotic nonlocal, Hamiltonian evolution equation with quadratic nonlinearity. For example, this equation describes the propagation of nonlinear Rayleigh waves (Hamilton et al. in J Acoust Soc Am 97:891-897, 1995), surface waves on current-vortex sheets in incompressible MHD (Alì and Hunter in Q Appl Math 61(3):451-474, 2003; Alì et al. in Stud Appl Math 108(3):305-321, 2002) and on the incompressible plasma-vacuum interface (Secchi in Q Appl Math 73(4):711-737, 2015). The local-in-time existence of smooth solutions to the Cauchy problem for the amplitude equation in noncanonical variables was shown in Hunter (J Hyperbolic Differ Equ 3(2):247-267, 2006), Secchi (Q Appl Math 73(4):711-737, 2015). In the present paper we prove the continuous dependence in strong norm of solutions on the initial data. This completes the proof of the well-posedness of the problem in the classical sense of Hadamard.

A Successful Senior Seminar: Unsolved Problems in Number Theory

ERIC Educational Resources Information Center

Styer, Robert

2014-01-01

The "Unsolved Problems in Number Theory" book by Richard Guy provides nice problems suitable for a typical math major. We give examples of problems that have worked well in our senior seminar course and some nice results that senior math majors can obtain.

Developing Mathematical Resilience of Prospective Math Teachers

NASA Astrophysics Data System (ADS)

Ariyanto, L.; Herman, T.; Sumarmo, U.; Suryadi, D.

2017-09-01

Prospective math teachers need to develop positive adaptive attitudes toward mathematics that will enable them to continue learning despite having to deal with obstacles and difficulties. This research focuses on the resilience improvement of the prospective mathematic teachers after being treated using problem-based learning based on their basic knowledge on mathematic and their overall knowledge on math. This research used only one group for pre-test and post-test. The result of this research shows that there is improvement on prospective teachers’ resilience after they were given treatment using problem-based learning. One of the factors causing the resilience improvement of the prospective mathematic teachers is the instructions on students’ work sheet. In the instructions, stud ents were asked to write difficulties in solving math problems as well as write down the solution they take to overcome them. This research can be used as a reference for other researchers who want to do the same research related on students’ resiliency o n math and or math lecturers to improve the resilience of prospective teachers to be resilient teachers on math in the future.

Introduction to Problem Solving: Strategies for the Elementary Math Classroom.

ERIC Educational Resources Information Center

O'Connell, Susan

This book is designed to help better understand problem-solving instruction. It presents information on helping students understand the problem-solving process as well as information on teaching specific strategies, including: Choose an Operation; Find a Pattern; Make a Table; Make an Organized List; Draw a Picture or Diagram; Guess, Check, and…

Enhancing Mathematical Communication for Virtual Math Teams

ERIC Educational Resources Information Center

Stahl, Gerry; Çakir, Murat Perit; Weimar, Stephen; Weusijana, Baba Kofi; Ou, Jimmy Xiantong

2010-01-01

The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT) service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies…

Problem Solving and the Use of Math in Physics Courses

ERIC Educational Resources Information Center

Redish, Edward F.

2006-01-01

Mathematics is an essential element of physics problem solving, but experts often fail to appreciate exactly how they use it. Math may be the language of science, but math-in-physics is a distinct dialect of that language. Physicists tend to blend conceptual physics with mathematical symbolism in a way that profoundly affects the way equations are…

A Practical Study of Mathematics Education Using Gamification

ERIC Educational Resources Information Center

Sakai, Kyohei; Shiota, Shingo

2016-01-01

This paper explores the use of gamification in math lessons for children in order to highlight the relationship between math education and its application to society. In school education, there is an existing problem about how to relate concepts learned in math to everyday life. One of the reasons for this problem is that it is difficult for…

Teaching Mathematical Problem Solving to Middle School Students in Math, Technology Education, and Special Education Classrooms

ERIC Educational Resources Information Center

Bottge, Brian A.; Heinrichs, Mary; Mehta, Zara Dee; Rueda, Enrique; Hung, Ya-Hui; Danneker, Jeanne

2004-01-01

This study compared two approaches for teaching sixth-grade middle school students to solve math problems in math, technology education, and special education classrooms. A total of 17 students with disabilities and 76 students without disabilities were taught using either enhanced anchored instruction (EAI) or text-based instruction coupled with…

Effects of Interspersed Brief Problems on Students' Endurance at Completing Math Work

ERIC Educational Resources Information Center

Montarello, Staci; Martens, Brian K.

2005-01-01

An alternating treatments design was used to compare the effects of baseline, interspersed brief problems, and interspersed brief problems plus token reinforcement on students' endurance while completing math worksheets. By pairing the completion of brief problems with token reinforcement, the role of problem completion as a conditioned reinforcer…

Novel Numerical Methods for Optimal Control Problems Involving Fractional-Order Differential Equations

DTIC Science & Technology

2018-03-14

pricing, Appl. Math . Comp. Vol.305, 174-187 (2017) 5. W. Li, S. Wang, Pricing European options with proportional transaction costs and stochastic...for fractional differential equation. Numer. Math . Theor. Methods Appl. 5, 229–241, 2012. [23] Kilbas A.A. and Marzan, S.A., Cauchy problem for...numerical technique for solving fractional optimal control problems, Comput. Math . Appl., 62, Issue 3, 1055–1067, 2011. [26] Lotfi A., Yousefi SA., Dehghan M

A latent profile analysis of math achievement, numerosity, and math anxiety in twins

PubMed Central

Hart, Sara A.; Logan, Jessica A.R.; Thompson, Lee; Kovas, Yulia; McLoughlin, Gráinne; Petrill, Stephen A.

2015-01-01

Underperformance in math is a problem with increasing prevalence, complex etiology, and severe repercussions. This study examined the etiological heterogeneity of math performance in a sample of 264 pairs of 12-year-old twins assessed on measures of math achievement, numerosity and math anxiety. Latent profile analysis indicated five groupings of individuals representing different patterns of math achievement, numerosity and math anxiety, coupled with differing degrees of familial transmission. These results suggest that there may be distinct profiles of math achievement, numerosity and anxiety; particularly for students who struggle in math. PMID:26957650

A latent profile analysis of math achievement, numerosity, and math anxiety in twins.

PubMed

Hart, Sara A; Logan, Jessica A R; Thompson, Lee; Kovas, Yulia; McLoughlin, Gráinne; Petrill, Stephen A

2016-02-01

Underperformance in math is a problem with increasing prevalence, complex etiology, and severe repercussions. This study examined the etiological heterogeneity of math performance in a sample of 264 pairs of 12-year-old twins assessed on measures of math achievement, numerosity and math anxiety. Latent profile analysis indicated five groupings of individuals representing different patterns of math achievement, numerosity and math anxiety, coupled with differing degrees of familial transmission. These results suggest that there may be distinct profiles of math achievement, numerosity and anxiety; particularly for students who struggle in math.

Working memory, worry, and algebraic ability.

PubMed

Trezise, Kelly; Reeve, Robert A

2014-05-01

Math anxiety (MA)-working memory (WM) relationships have typically been examined in the context of arithmetic problem solving, and little research has examined the relationship in other math domains (e.g., algebra). Moreover, researchers have tended to examine MA/worry separate from math problem solving activities and have used general WM tasks rather than domain-relevant WM measures. Furthermore, it seems to have been assumed that MA affects all areas of math. It is possible, however, that MA is restricted to particular math domains. To examine these issues, the current research assessed claims about the impact on algebraic problem solving of differences in WM and algebraic worry. A sample of 80 14-year-old female students completed algebraic worry, algebraic WM, algebraic problem solving, nonverbal IQ, and general math ability tasks. Latent profile analysis of worry and WM measures identified four performance profiles (subgroups) that differed in worry level and WM capacity. Consistent with expectations, subgroup membership was associated with algebraic problem solving performance: high WM/low worry>moderate WM/low worry=moderate WM/high worry>low WM/high worry. Findings are discussed in terms of the conceptual relationship between emotion and cognition in mathematics and implications for the MA-WM-performance relationship. Copyright © 2013 Elsevier Inc. All rights reserved.

Learning Disabilities

MedlinePlus

... a student to read, write, spell, or solve math problems. The way our brains process information is ... has difficulty speaking, reading, writing, figuring out a math problem, communicating with a parent, or paying attention ...

Mining EEG with SVM for Understanding Cognitive Underpinnings of Math Problem Solving Strategies

PubMed Central

López, Julio

2018-01-01

We have developed a new methodology for examining and extracting patterns from brain electric activity by using data mining and machine learning techniques. Data was collected from experiments focused on the study of cognitive processes that might evoke different specific strategies in the resolution of math problems. A binary classification problem was constructed using correlations and phase synchronization between different electroencephalographic channels as characteristics and, as labels or classes, the math performances of individuals participating in specially designed experiments. The proposed methodology is based on using well-established procedures of feature selection, which were used to determine a suitable brain functional network size related to math problem solving strategies and also to discover the most relevant links in this network without including noisy connections or excluding significant connections. PMID:29670667

Mining EEG with SVM for Understanding Cognitive Underpinnings of Math Problem Solving Strategies.

PubMed

Bosch, Paul; Herrera, Mauricio; López, Julio; Maldonado, Sebastián

2018-01-01

We have developed a new methodology for examining and extracting patterns from brain electric activity by using data mining and machine learning techniques. Data was collected from experiments focused on the study of cognitive processes that might evoke different specific strategies in the resolution of math problems. A binary classification problem was constructed using correlations and phase synchronization between different electroencephalographic channels as characteristics and, as labels or classes, the math performances of individuals participating in specially designed experiments. The proposed methodology is based on using well-established procedures of feature selection, which were used to determine a suitable brain functional network size related to math problem solving strategies and also to discover the most relevant links in this network without including noisy connections or excluding significant connections.

Disfluent fonts don't help people solve math problems.

PubMed

Meyer, Andrew; Frederick, Shane; Burnham, Terence C; Guevara Pinto, Juan D; Boyer, Ty W; Ball, Linden J; Pennycook, Gordon; Ackerman, Rakefet; Thompson, Valerie A; Schuldt, Jonathon P

2015-04-01

Prior research suggests that reducing font clarity can cause people to consider printed information more carefully. The most famous demonstration showed that participants were more likely to solve counterintuitive math problems when they were printed in hard-to-read font. However, after pooling data from that experiment with 16 attempts to replicate it, we find no effect on solution rates. We examine potential moderating variables, including cognitive ability, presentation format, and experimental setting, but we find no evidence of a disfluent font benefit under any conditions. More generally, though disfluent fonts slightly increase response times, we find little evidence that they activate analytic reasoning. (c) 2015 APA, all rights reserved).

Lift the Math Curse

ERIC Educational Resources Information Center

Albrecht, Cathlene

2006-01-01

"When am I ever going to use this?" This question is heard or thought in every middle-level math class across the land. Teachers struggle to apply math lessons to everyday life and make math meaningful and useful for their students. This author, too, struggled with this problem, until she read the book "Math Curse" by Jon Scieszka (Viking Books,…

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…

Making Sense of Math: How to Help Every Student become a Mathematical Thinker and Problem Solver (ASCD Arias)

ERIC Educational Resources Information Center

Seeley, Cathy L.

2016-01-01

In "Making Sense of Math," Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: (1) Making sense of math by fostering habits of mind that…

Calculation and Word Problem-Solving Skills in Primary Grades--Impact of Cognitive Abilities and Longitudinal Interrelations with Task-persistent Behaviour

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…

Mathematics skills in good readers with hydrocephalus.

PubMed

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.

Constructed-Response Problems

ERIC Educational Resources Information Center

Swinford, Ashleigh

2016-01-01

With rigor outlined in state and Common Core standards and the addition of constructed-response test items to most state tests, math constructed-response questions have become increasingly popular in today's classroom. Although constructed-response problems can present a challenge for students, they do offer a glimpse of students' learning through…

Math in a Can

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…

Socio-cognitive habilitation using the math interactive learning experience program for alcohol-affected children.

PubMed

Kable, Julie A; Coles, Claire D; Taddeo, Elles

2007-08-01

Fetal alcohol syndrome (FAS) has been recognized as a disabling condition with a significant impact on the neurobehavioral functioning of affected individuals, including cognition, behavior, and academic functioning, but little research has been performed on targeted interventions for these children. A socio-cognitive habilitative program focused on improving behavior and math functioning in children 3 to 10 years of age (n=61) was developed and evaluated. The intervention provided parental instruction on FAS, advocacy, and behavioral regulation via workshops and interactive math tutoring with children. All families received parental instruction and were then randomly assigned to either the math instruction or standard psychoeducational care groups. Satisfaction with workshops was very high, with over 90% agreeing that trainers were knowledgeable and materials easy to understand and helpful. Significant gains in knowledge were found for information provided in the instructional groups. At posttesting, caregivers reported fewer problem behaviors on the Achenbach Child Behavior Checklist, Internalizing Problem Behavior, Externalizing Problem Behavior, and Total Problem Behavior summary scales. After 5 months, both groups of children demonstrated gains in math knowledge but significantly higher gains were found in the group receiving direct math instruction. The math treatment group was also more likely to demonstrate a gain of over 1 standard deviation on any of the 4 math outcome measures used. These findings suggest that parents of children with fetal alcohol spectrum disorders (FAS(D)) benefit from instruction in understanding their child's alcohol-related neurological damage and strategies to provide positive behavioral supports and that targeted psychoeducational programs may be able to remediate some of the math deficits associated with prenatal alcohol exposure.

From Answer-Getters to Problem Solvers

ERIC Educational Resources Information Center

Flynn, Mike

2017-01-01

In some math classrooms, students are taught to follow and memorize procedures to arrive at the correct solution to problems. In this article, author Mike Flynn suggests a way to move beyond answer-getting to true problem solving. He describes an instructional approach called three-act tasks in which students solve an engaging math problem in…

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.…

Boundary layer transition: A review of theory, experiment and related phenomena

NASA Technical Reports Server (NTRS)

Kistler, E. L.

1971-01-01

The overall problem of boundary layer flow transition is reviewed. Evidence indicates a need for new, basic physical hypotheses in classical fluid mechanics math models based on the Navier-Stokes equations. The Navier-Stokes equations are challenged as inadequate for the investigation of fluid transition, since they are based on several assumptions which should be expected to alter significantly the stability characteristics of the resulting math model. Strong prima facie evidence is presented to this effect.

Auditory Processing Disorder (For Parents)

MedlinePlus

... 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. ...

Evaluating and Comparing Interventions Designed to Enhance Math Fact Accuracy and Fluency: Cover, Copy, and Compare versus Taped Problems

ERIC Educational Resources Information Center

Poncy, Brian C.; Skinner, Christopher H.; Jaspers, Kathryn E.

2007-01-01

An adapted alternating treatments design was used to evaluate and compare the effects of two procedures designed to enhance math fact accuracy and fluency in an elementary student with low cognitive functioning. Results showed that although the cover, copy, compare (CCC) and the taped problems (TP) procedures both increased the student's math fact…

The Impact of Overcoming Fixation and Gender on Divergent Thinking in Solving Maths Problems

ERIC Educational Resources Information Center

Kandemir, Mehmet Ali

2007-01-01

The impact of fixation in solving math problems and that of gender on divergent thinking has been studied in this paper. The study was made in the academic year of 2006-2007, Fall Semester, at Necatibey Faculty of Education, Balikesir University. 229 first and second-year students at the Dept of Primary Math Teaching have been participated in the…

Conservation Abilities, Visuospatial Skills, and Numerosity Processing Speed: Association With Math Achievement and Math Difficulties in Elementary School Children.

PubMed

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.

Effective pedagogies for teaching math to nursing students: a literature review.

PubMed

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.

Solving America's Math Problem

ERIC Educational Resources Information Center

Vigdor, Jacob

2013-01-01

Concern about students' math achievement is nothing new, and debates about the mathematical training of the nation's youth date back a century or more. In the early 20th century, American high-school students were starkly divided, with rigorous math courses restricted to a college-bound elite. At midcentury, the "new math" movement sought,…

Mediators of methylphenidate effects on math performance in children with attention-deficit hyperactivity disorder.

PubMed

Froehlich, Tanya E; Antonini, Tanya N; Brinkman, William B; Langberg, Joshua M; Simon, John O; Adams, Ryan; Fredstrom, Bridget; Narad, Megan E; Kingery, Kathleen M; Altaye, Mekibib; Matheson, Heather; Tamm, Leanne; Epstein, Jeffery N

2014-01-01

Stimulant medications, such as methylphenidate (MPH), improve the academic performance of children with attention-deficit hyperactivity disorder (ADHD). However, the mechanism by which MPH exerts an effect on academic performance is unclear. We examined MPH effects on math performance and investigated possible mediation of MPH effects by changes in time on-task, inhibitory control, selective attention, and reaction time variability. Children with ADHD aged 7 to 11 years (N = 93) completed a timed math worksheet (with problems tailored to each individual's level of proficiency) and 2 neuropsychological tasks (Go/No-Go and Child Attention Network Test) at baseline, then participated in a 4-week, randomized, controlled, titration trial of MPH. Children were then randomly assigned to their optimal MPH dose or placebo for 1 week (administered double-blind) and repeated the math and neuropsychological tasks (posttest). Baseline and posttest videorecordings of children performing the math task were coded to assess time on-task. Children taking MPH completed 23 more math problems at posttest compared to baseline, whereas the placebo group completed 24 fewer problems on posttest versus baseline, but the effects on math accuracy (percent correct) did not differ. Path analyses revealed that only change in time on-task was a significant mediator of MPH's improvements in math productivity. MPH-derived math productivity improvements may be explained in part by increased time spent on-task, rather than improvements in neurocognitive parameters, such as inhibitory control, selective attention, or reaction time variability.

A Joint Probabilistic Classification Model of Relevant and Irrelevant Sentences in Mathematical Word Problems

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…

From Poor Performance to Success under Stress: Working Memory, Strategy Selection, and Mathematical Problem Solving under Pressure

ERIC Educational Resources Information Center

Beilock, Sian L.; DeCaro, Marci S.

2007-01-01

Two experiments demonstrate how individual differences in working memory (WM) impact the strategies used to solve complex math problems and how consequential testing situations alter strategy use. In Experiment 1, individuals performed multistep math problems under low- or high-pressure conditions and reported their problem-solving strategies.…

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…

Student Errors in Dynamic Mathematical Environments

ERIC Educational Resources Information Center

Brown, Molly; Bossé, Michael J.; Chandler, Kayla

2016-01-01

This study investigates the nature of student errors in the context of problem solving and Dynamic Math Environments. This led to the development of the Problem Solving Action Identification Framework; this framework captures and defines all activities and errors associated with problem solving in a dynamic math environment. Found are three…

Multidimensional assessment of self-regulated learning with middle school math students.

PubMed

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).

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.

Math Branding in a Community College Library

ERIC Educational Resources Information Center

Brantz, Malcolm; Sadowski, Edward B.

2010-01-01

As a strategy to promote the Arapahoe Community College Library's collections and services, the Library undertook to brand itself as a math resource center. In promoting one area of expertise, math was selected to help address the problem of a large portion of high school graduates' inability to work at college-level math. A "Math…

Strategies for Reducing Math Anxiety. Information Capsule. Volume 1102

ERIC Educational Resources Information Center

Blazer, Christie

2011-01-01

Approximately 93 percent of Americans indicate that they experience some level of math anxiety. Math anxiety is defined as negative emotions that interfere with the solving of mathematical problems. Studies have found that some students who perform poorly on math assessments actually have a full understanding of the concepts being tested; however,…

The Value of the Math Circle for Gifted Middle School Students

ERIC Educational Resources Information Center

Burns, Barbara; Henry, Julie; McCarthy, Dianne; Tripp, Jennifer

2017-01-01

Math Circles are designed to allow students to explore mathematics using a problem-solving/inquiry approach. Many of the students attending our Math Circle are mathematically talented and curious. This study examines the perspectives of the students and their families in determining why students attend Math Circle, what they enjoy about Math…

Calculation Software

NASA Technical Reports Server (NTRS)

1994-01-01

MathSoft Plus 5.0 is a calculation software package for electrical engineers and computer scientists who need advanced math functionality. It incorporates SmartMath, an expert system that determines a strategy for solving difficult mathematical problems. SmartMath was the result of the integration into Mathcad of CLIPS, a NASA-developed shell for creating expert systems. By using CLIPS, MathSoft, Inc. was able to save the time and money involved in writing the original program.

The impact of early behavior disturbances on academic achievement in high school.

PubMed

Breslau, Joshua; Miller, Elizabeth; Breslau, Naomi; Bohnert, Kipling; Lucia, Victoria; Schweitzer, Julie

2009-06-01

Previous research has indicated that childhood behavioral disturbances predict lower scores on academic tests and curtail educational attainment. It is unknown which types of childhood behavioral problems are most likely to predict these outcomes. An ethnically diverse cohort was assessed at 6 years of age for behavioral problems and IQ and at 17 years of age for academic achievement in math and reading. Of the original cohort of 823 children, 693 (84%) had complete data. Multiple regressions were used to estimate associations of attention and internalizing and externalizing problems at age 6 and with math and reading achievement at age 17, adjusting for IQ and indicators of family socioeconomic status. Adjusting for IQ, inner-city community, and maternal education and marital status, teacher ratings of attention, internalizing behavior, and externalizing problems at age 6 significantly predict math and reading achievement at age 17. When types of problems are examined simultaneously, attention problems predict math and reading achievement with little attenuation, whereas the influence of externalizing and internalizing problems is materially reduced and not significant. Interventions that target attention problems at school entry should be tested as a potential avenue for improving educational achievement.

Learning Algebra by Example in Real-World Classrooms

ERIC Educational Resources Information Center

Booth, Julie L.; Oyer, Melissa H.; Paré-Blagoev, E. Juliana; Elliot, Andrew J.; Barbieri, Christina; Augustine, Adam; Koedinger, Kenneth R.

2015-01-01

Math and science textbook chapters invariably supply students with sets of problems to solve, but this widely used approach is not optimal for learning; instead, more effective learning can be achieved when many problems to solve are replaced with correct and incorrect worked examples for students to study and explain. In the present study, the…

Language of Physics, Language of Math: Disciplinary Culture and Dynamic Epistemology

ERIC Educational Resources Information Center

Redish, Edward F.; Kuo, Eric

2015-01-01

Mathematics is a critical part of much scientific research. Physics in particular weaves math extensively into its instruction beginning in high school. Despite much research on the learning of both physics and math, the problem of how to effectively include math in physics in a way that reaches most students remains unsolved. In this paper, we…

Math Is in the Eye of the Beholder.

ERIC Educational Resources Information Center

Diamond, Judith

A researcher surveyed 161 students in adult education math classes at four community colleges in Illinois and 13 adult education math teachers. Both groups were asked to complete the survey from the viewpoint of a student. The respondents were asked what should math classes teach; what kind of problems they most enjoy working on in class; whether…

District Finds the Right Equation to Improve Math Instruction

ERIC Educational Resources Information Center

Holmstrom, Annette

2010-01-01

The math problem is common to most U.S. school districts, and education leaders are well aware that U.S. math achievement lags far behind many other countries in the world. University Place (Washington) School District Superintendent Patti Banks found the conspicuous income gap for math scores even more disturbing. In her school district, only 23%…

The Effects of an Extended-Day Online Math Program on Math Achievement

ERIC Educational Resources Information Center

Wagner, Kathryn Mary-LaCroix

2013-01-01

Despite No Child Left Behind mandates, the math achievement gap is still prevalent in schools in the United States, and efforts to address this problem have demonstrated little documented progress. The purpose of this study was to evaluate an intervention strategy used to address the math achievement gap. In this study, social capital theory,…

Better together: Simultaneous presentation of speech and gesture in math instruction supports generalization and retention.

PubMed

Congdon, Eliza L; Novack, Miriam A; Brooks, Neon; Hemani-Lopez, Naureen; O'Keefe, Lucy; Goldin-Meadow, Susan

2017-08-01

When teachers gesture during instruction, children retain and generalize what they are taught (Goldin-Meadow, 2014). But why does gesture have such a powerful effect on learning? Previous research shows that children learn most from a math lesson when teachers present one problem-solving strategy in speech while simultaneously presenting a different, but complementary, strategy in gesture (Singer & Goldin-Meadow, 2005). One possibility is that gesture is powerful in this context because it presents information simultaneously with speech. Alternatively, gesture may be effective simply because it involves the body, in which case the timing of information presented in speech and gesture may be less important for learning. Here we find evidence for the importance of simultaneity: 3 rd grade children retain and generalize what they learn from a math lesson better when given instruction containing simultaneous speech and gesture than when given instruction containing sequential speech and gesture. Interpreting these results in the context of theories of multimodal learning, we find that gesture capitalizes on its synchrony with speech to promote learning that lasts and can be generalized.

Math Wars.

ERIC Educational Resources Information Center

Abreu, Julio

2000-01-01

Four decades ago following Russia's Sputnik satellite launching, the nation embraced "new" math as part of its commitment not to fall behind its global neighbors. Issues addressed in "new-new" math include equal access to challenging learning, problem solving, reasoning and proof, communications, multiple ways to solve…

Remediating Number Combination and Word Problem Deficits Among Students With Mathematics Difficulties: A Randomized Control Trial

PubMed Central

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 at home adds up to achievement in school.

PubMed

Berkowitz, Talia; Schaeffer, Marjorie W; Maloney, Erin A; Peterson, Lori; Gregor, Courtney; Levine, Susan C; Beilock, Sian L

2015-10-09

With a randomized field experiment of 587 first-graders, we tested an educational intervention designed to promote interactions between children and parents relating to math. We predicted that increasing math activities at home would increase children's math achievement at school. We tested this prediction by having children engage in math story time with their parents. The intervention, short numerical story problems delivered through an iPad app, significantly increased children's math achievement across the school year compared to a reading (control) group, especially for children whose parents are habitually anxious about math. Brief, high-quality parent-child interactions about math at home help break the intergenerational cycle of low math achievement. Copyright © 2015, American Association for the Advancement of Science.

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…

Solving Behavior Problems in Math Class: Academic, Learning, Social, and Emotional Empowerment (Grades K-12)

ERIC Educational Resources Information Center

Taylor-Cox, Jennifer

2011-01-01

Reduce the number of discipline issues that arise in your math classroom with ideas from math education expert Jennifer Taylor-Cox. In this book, you'll learn a variety of ways to handle disruptive, disinterested, avoidant, and/or disrespectful students in K-12 math classrooms. Using realistic, case-by-case examples, the author reveals practical…

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,…

Math Safari.

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)

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…

The Effect of Worked Examples on Student Learning and Error Anticipation in Algebra

ERIC Educational Resources Information Center

Booth, Julie L.; Begolli, Kreshnik N.; McCann, Nicholas

2016-01-01

The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with reform textbooks either containing the original practice problems or in which a portion of those problems were converted into…

Wine and Maths: Mathematical Solutions to Wine-Inspired Problems

ERIC Educational Resources Information Center

Cadeddu, L.; Cauli, A.

2018-01-01

We deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth…

Calculation and word problem-solving skills in primary grades - Impact of cognitive abilities and longitudinal interrelations with task-persistent behaviour.

PubMed

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.

Convex Relaxation For Hard Problem In Data Mining And Sensor Localization

DTIC Science & Technology

2017-04-13

Drusvyatskiy, S.A. Vavasis, and H. Wolkowicz. Extreme point in- equalities and geometry of the rank sparsity ball. Math . Program., 152(1-2, Ser. A...521–544, 2015. [3] M-H. Lin and H. Wolkowicz. Hiroshima’s theorem and matrix norm inequalities. Acta Sci. Math . (Szeged), 81(1-2):45–53, 2015. [4] D...9867-4. [8] D. Drusvyatskiy, G. Li, and H. Wolkowicz. Alternating projections for ill-posed semidenite feasibility problems. Math . Program., 2016

Distinct influences of affective and cognitive factors on children's non-verbal and verbal mathematical abilities.

PubMed

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.

The Relationship between Working Memory and Mathematical Problem Solving in Children at Risk and Not at Risk for Serious Math Difficulties

ERIC Educational Resources Information Center

Swanson, H. Lee; Beebe-Frankenberger, Margaret

2004-01-01

This study identified cognitive processes that underlie individual differences in working memory (WM) and mathematical problem-solution accuracy in elementary school children at risk and not at risk for serious math difficulties (SMD). A battery of tests was administered that assessed problem solving, achievement, and cognitive processing in…

The Effects of Using Diagramming as a Representational Technique on High School Students' Achievement in Solving Math Word Problems

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…

Investigating the Effects of a Structured Writing Program in a Math Classroom: A Quantitative Study

ERIC Educational Resources Information Center

Girsa, Heather

2016-01-01

In a northeastern state eighth grade math students are struggling with meeting adequate yearly progress in math. The state's math proficiency in the school year 2013-2014 for eighth grade students showed that only 56% scored at grade level or above. The local problem addressed in this study is that 44% of a northeastern state's eighth graders are…

Cowboys Count, Monkeys Measure, and Princesses Problem Solve: Building Early Math Skills through Storybooks

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…

Construct Relevant and Irrelevant Variables in Math Problem Solving Assessment

ERIC Educational Resources Information Center

Birk, Lisa E.

2013-01-01

In this study, I examined the relation between various construct relevant and irrelevant variables and a math problem solving assessment. I used independent performance measures representing the variables of mathematics content knowledge, general ability, and reading fluency. Non-performance variables included gender, socioeconomic status,…

Automatic Invocation Linking for Collaborative Web-Based Corpora

NASA Astrophysics Data System (ADS)

Gardner, James; Krowne, Aaron; Xiong, Li

Collaborative online encyclopedias or knowledge bases such as Wikipedia and PlanetMath are becoming increasingly popular because of their open access, comprehensive and interlinked content, rapid and continual updates, and community interactivity. To understand a particular concept in these knowledge bases, a reader needs to learn about related and underlying concepts. In this chapter, we introduce the problem of invocation linking for collaborative encyclopedia or knowledge bases, review the state of the art for invocation linking including the popular linking system of Wikipedia, discuss the problems and challenges of automatic linking, and present the NNexus approach, an abstraction and generalization of the automatic linking system used by PlanetMath.org. The chapter emphasizes both research problems and practical design issues through discussion of real world scenarios and hence is suitable for both researchers in web intelligence and practitioners looking to adopt the techniques. Below is a brief outline of the chapter.

Predicting Success of Developmental Math Students

ERIC Educational Resources Information Center

Martinez, Isaac

2017-01-01

Addressing the needs of developmental math students has been one of the most challenging problems in higher education. Administrators at a private university were concerned about poor academic performance of math-deficient students and sought to identify factors that influenced students' successful progression from developmental to college-level…

Workplace Math II: Math Works!

ERIC Educational Resources Information Center

Wilson, Nancy; Goschen, Claire

This learning module, a continuation of the math I module, provides review and practice of the concepts explored in the earlier module at an intermediate level involving workplace problems. The following concepts are covered: instruction in performing basic computations, using general numerical concepts such as whole numbers, fractions, decimals,…

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…

Mathematical Modeling: Are Prior Experiences Important?

ERIC Educational Resources Information Center

Czocher, Jennifer A.; Moss, Diana L.

2017-01-01

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report. Updated

ERIC Educational Resources Information Center

What Works Clearinghouse, 2013

2013-01-01

"Scott Foresman-Addison Wesley Elementary Mathematics" is a core mathematics curriculum for students in prekindergarten through grade 6. The program aims to improve students' understanding of key math concepts through problem-solving instruction, hands-on activities, and math problems that involve reading and writing. The curriculum…

An H(mo) Interpolation Result

DTIC Science & Technology

1989-11-14

9] V. A. Kondrat’ev. Boundary problems for parabolic equations in closed domains. Trans. Mosc . Math. Soc., 15:450-504, 1966. [10] V. A. Kondrat’ev...Boundary problems for elliptic equations in domains with conical or angular points. Trans. Mosc . Math. Soc., 16:227-313, 1967. [11] Y. Maday. Analysis

The Relationship of Drawing and Mathematical Problem Solving: "Draw for Math" Tasks

ERIC Educational Resources Information Center

Edens, Kellah; Potter, Ellen

2007-01-01

This study examines a series of children's drawings ("Draw for Math" tasks) to determine the relationship of students' spatial understanding and mathematical problem solving. Level of spatial understanding was assessed by applying the framework of central conceptual structures suggested by Case (1996), a cognitive developmental researcher.…

Choke or thrive? The relation between salivary cortisol and math performance depends on individual differences in working memory and math-anxiety.

PubMed

Mattarella-Micke, Andrew; Mateo, Jill; Kozak, Megan N; Foster, Katherine; Beilock, Sian L

2011-08-01

In the current study, we explored how a person's physiological arousal relates to their performance in a challenging math situation as a function of individual differences in working memory (WM) capacity and math-anxiety. Participants completed demanding math problems before and after which salivary cortisol, an index of arousal, was measured. The performance of lower WM individuals did not depend on cortisol concentration or math-anxiety. For higher WM individuals high in math-anxiety, the higher their concentration of salivary cortisol following the math task, the worse their performance. In contrast, for higher WM individuals lower in math-anxiety, the higher their salivary cortisol concentrations, the better their performance. For individuals who have the capacity to perform at a high-level (higher WMs), whether physiological arousal will lead an individual to choke or thrive depends on math-anxiety. 2011 APA, all rights reserved

Mathematical outcomes and working memory in children with TBI and orthopedic injury.

PubMed

Raghubar, Kimberly P; Barnes, Marcia A; Prasad, Mary; Johnson, Chad P; Ewing-Cobbs, Linda

2013-03-01

This study compared mathematical outcomes in children with predominantly moderate to severe traumatic brain injury (TBI; n550) or orthopedic injury (OI; n547) at 2 and 24 months post-injury. Working memory and its contribution to math outcomes at 24 months post-injury was also examined. Participants were administered an experimental cognitive addition task and standardized measures of calculation, math fluency, and applied problems; as well as experimental measures of verbal and visual-spatial working memory. Although children with TBI did not have deficits in foundational math fact retrieval, they performed more poorly than OIs on standardized measures of math. In the TBI group, performance on standardized measures was predicted by age at injury, socioeconomic status, and the duration of impaired consciousness. Children with TBI showed impairments on verbal, but not visual working memory relative to children with OI. Verbal working memory mediated group differences on math calculations and applied problems at 24 months post-injury. Children with TBI have difficulties in mathematics, but do not have deficits in math fact retrieval, a signature deficit of math disabilities. Results are discussed with reference to models of mathematical cognition and disability and the role of working memory in math learning and performance for children with TBI.

Mathematical Outcomes and Working Memory in Children With TBI and Orthopedic Injury

PubMed Central

Raghubar, Kimberly P.; Barnes, Marcia A.; Prasad, Mary; Johnson, Chad P.; Ewing-Cobbs, Linda

2013-01-01

This study compared mathematical outcomes in children with predominantly moderate to severe traumatic brain injury (TBI; n =50) or orthopedic injury (OI; n=47) at 2 and 24 months post-injury. Working memory and its contribution to math outcomes at 24 months post-injury was also examined. Participants were administered an experimental cognitive addition task and standardized measures of calculation, math fluency, and applied problems; as well as experimental measures of verbal and visual-spatial working memory. Although children with TBI did not have deficits in foundational math fact retrieval, they performed more poorly than OIs on standardized measures of math. In the TBI group, performance on standardized measures was predicted by age at injury, socioeconomic status, and the duration of impaired consciousness. Children with TBI showed impairments on verbal, but not visual working memory relative to children with OI. Verbal working memory mediated group differences on math calculations and applied problems at 24 months post-injury. Children with TBI have difficulties in mathematics, but do not have deficits in math fact retrieval, a signature deficit of math disabilities. Results are discussed with reference to models of mathematical cognition and disability and the role of working memory in math learning and performance for children with TBI. PMID:23164058

Regression Model Optimization for the Analysis of Experimental Data

NASA Technical Reports Server (NTRS)

Ulbrich, N.

2009-01-01

A candidate math model search algorithm was developed at Ames Research Center that determines a recommended math model for the multivariate regression analysis of experimental data. The search algorithm is applicable to classical regression analysis problems as well as wind tunnel strain gage balance calibration analysis applications. The algorithm compares the predictive capability of different regression models using the standard deviation of the PRESS residuals of the responses as a search metric. This search metric is minimized during the search. Singular value decomposition is used during the search to reject math models that lead to a singular solution of the regression analysis problem. Two threshold dependent constraints are also applied. The first constraint rejects math models with insignificant terms. The second constraint rejects math models with near-linear dependencies between terms. The math term hierarchy rule may also be applied as an optional constraint during or after the candidate math model search. The final term selection of the recommended math model depends on the regressor and response values of the data set, the user s function class combination choice, the user s constraint selections, and the result of the search metric minimization. A frequently used regression analysis example from the literature is used to illustrate the application of the search algorithm to experimental data.

Metacognitive Strategy Use of Eighth-Grade Students with and without Learning Disabilities during Mathematical Problem Solving: A Think-Aloud Analysis

ERIC Educational Resources Information Center

Rosenzweig, Carly; Krawec, Jennifer; Montague, Marjorie

2011-01-01

The purpose of the study was to investigate the metacognitive abilities of students with LD as they engage in math problem solving and to determine processing differences between these students and their low- and average-achieving peers (n = 73). Students thought out loud as they solved three math problems of increasing difficulty. Protocols were…

Accelerated Math®. Primary Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2017

2017-01-01

"Accelerated Math®," published by Renaissance Learning, is a software tool that provides practice problems for students in grades K-12 and provides teachers with reports to monitor student progress. "Accelerated Math®" creates individualized student assignments, scores the assignments, and generates reports on student progress.…

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…

Careers in STEM Begin with Elementary Student Interest in Mathematics

ERIC Educational Resources Information Center

Brimmer, Linda Ertrachter

2017-01-01

I investigated why math capable students are not entering science, technology, engineering, and math (STEM) careers. To research the problem, I explored how highly effective elementary math teachers (HEMT) create student interest in mathematics using the self- efficacy (SE) theory and information and communication technology (ICT). The purpose of…

Atlas 1.1 Implementation Guide: Moving from Theory into Practice

DTIC Science & Technology

2018-01-16

Math /Science/General Engienering...six proficiency areas based on the Helix interview data, as shown in Figure 6 below. Figure 6. Proficiency Areas for Systems Engineers 1. Math ...the problem domain and solution Math / Science / General Engineering System’s Domain & Opera:onal Context Systems Engineering

"Math Anxiety" Explored in Studies

ERIC Educational Resources Information Center

Sparks, Sarah D.

2011-01-01

Math problems make more than a few students--and even teachers--sweat, but new brain research is providing insights into the earliest causes of the anxiety so often associated with mathematics. Experts argue that "math anxiety" can bring about widespread, intergenerational discomfort with the subject, which could lead to anything from fewer…

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…

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…

enVisionMATH. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2013

2013-01-01

"enVisionMATH," published by Pearson Education, Inc., is a core curriculum for students in kindergarten through grade 6. The program seeks to help students develop an understanding of math concepts through problem-based instruction, small-group interaction, and visual learning with a focus on reasoning and modeling. Differentiated…

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…

Children's Mathematics and Verbal Self-concepts and Externalizing Behaviors: The Moderating Role of Peer Rejection at School.

PubMed

Passiatore, Ylenia; Grimaldi Capitello, Teresa; De Stasio, Simona; Millioni, Michela; Gentile, Simonetta; Fiorilli, Caterina

2017-01-01

Previous research has found a strong correlation between children's academic self-concept and their behavioral problems. The present study examined whether children's peer rejection moderated the relationship between children's math and verbal self-concepts and their behavioral problems at school. We expected that children's social competence, as measured by peer rejection, moderated the negative effect of low self-concept on children's externalizing behaviors. Participants were 173 children (males = 93, M age = 10.31 years, SD = 1.43). The main findings showed that peer rejection moderated the effect of both low verbal and math self-concepts on children's externalizing behavior. The results are discussed in terms of the protective factor played by children's social competence reducing the impact of low self-concept on children's externalizing behaviors.

Math and numeracy in young adults with spina bifida and hydrocephalus.

PubMed

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.

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.

Relationship between Mathematics Anxiety and Multiple Intelligences among Rural and Suburban Sixth Grade Students

ERIC Educational Resources Information Center

Wilson, Carla F.

2013-01-01

Research indicates that mathematics anxiety interferes with solving math problems in everyday life as well as academic situations. In classrooms across the country, educators have utilized different methods to help students alleviate their irrational fears of completing even basic math problems. Critical constructivist educators have utilized…

Turning Teaching Upside Down

ERIC Educational Resources Information Center

Seeley, Cathy L.

2017-01-01

The traditional method of teaching math--showing students how to do a procedure, then assigning problems that require them to use that exact procedure--leads to adults who don't know how to approach problems that don't look like those in their math book. Seeley describes an alternative teaching method (upside-down teaching) in which teachers give…

Math Thinkercises. A Good Apple Math Activity Book for Students. Grades 4-8.

ERIC Educational Resources Information Center

Daniel, Becky

This booklet designed for students in grades 4-8 provides 52 activities, including puzzles and problems. Activities range from simple to complex, giving learners practice in finding patterns, numeration, permutation, and problem solving. Calculators should be available, and students should be encouraged to discuss solutions with classmates,…

The Effects of Representation Format in Problem Representation on Qualitative Understanding and Quantitative Proficiency in a Learning Game Context

ERIC Educational Resources Information Center

Lee, Sungwoong

2016-01-01

Reports and surveys by the U.S. government and international organizations have repeatedly acknowledged the achievement problem in math in K-12 regardless of various efforts (e.g., by the U.S. Department of Education) to diminish it. To address the problem in math achievement in K-12, teachers, scholars, and the U.S. government have developed…

Thinking beyond the Obvious Boundaries in Mathematics: An Exploration of Joyous Discovery.

ERIC Educational Resources Information Center

de Vries, Marianne E.

1992-01-01

Ideas for the development of creative exploration in mathematics are offered, including games to play in class (e.g., card games and tangrams), competitions (sample problems), clubs and math evenings (math relays and treasure hunts), projects (possible topics in patchwork quilting, art, and music), and math camps. (DB)

The Math Promise: Celebrating at Home and School

ERIC Educational Resources Information Center

Legnard, Danielle; Austin, Susan

2014-01-01

The Math Promise is a contract that family members make with one another. They commit to spending mathematical time together; getting to know each other's mathematical thinking and understanding; and finding time to play math games, solve problems, and notice mathematics in their daily lives. Whether parents and children are cooking in the…

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,…

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…

Analysis of Peer Learning Behaviors Using Multiple Representations in Virtual Reality and Their Impacts on Geometry Problem Solving

ERIC Educational Resources Information Center

Hwang, Wu-Yuin; Hu, Shih-Shin

2013-01-01

Learning geometry emphasizes the importance of exploring different representations such as virtual manipulatives, written math formulas, and verbal explanations, which help students build math concepts and develop critical thinking. Besides helping individuals construct math knowledge, peer interaction also plays a crucial role in promoting an…

Klinefelter Syndrome (KS): Other FAQs

MedlinePlus

... before entrance to middle/high school Difficulty with math at all ages Testing to identify problem areas and remediation for math disabilities Difficulty with complex language processing, specifically with ...

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.…

Who’s Afraid of Math? Two Sources of Genetic Variance for Mathematical Anxiety

PubMed Central

Wang, Zhe; Hart, Sara Ann; Kovas, Yulia; Lukowski, Sarah; Soden, Brooke; Thompson, Lee A.; Plomin, Robert; McLoughlin, Grainne; Bartlett, Christopher W.; Lyons, Ian M.; Petrill, Stephen A.

2015-01-01

Background Emerging work suggests that academic achievement may be influenced by the management of affect as well as through efficient information processing of task demands. In particular, mathematical anxiety has attracted recent attention because of its damaging psychological effects and potential associations with mathematical problem-solving and achievement. The present study investigated the genetic and environmental factors contributing to the observed differences in the anxiety people feel when confronted with mathematical tasks. In addition, the genetic and environmental mechanisms that link mathematical anxiety with math cognition and general anxiety were also explored. Methods Univariate and multivariate quantitative genetic models were conducted in a sample of 514 12-year-old twin siblings. Results Genetic factors accounted for roughly 40% of the variation in mathematical anxiety, with the remaining being accounted for by child-specific environmental factors. Multivariate genetic analyses suggested that mathematical anxiety was influenced by the genetic and non-familial environmental risk factors associated with general anxiety and additional independent genetic influences associated with math-based problem solving. Conclusions The development of mathematical anxiety may involve not only exposure to negative experiences with mathematics, but also likely involves genetic risks related to both anxiety and math cognition. These results suggest that integrating cognitive and affective domains may be particularly important for mathematics, and may extend to other areas of academic achievement. PMID:24611799

RFI Math Model programs for predicting intermodulation interference

NASA Technical Reports Server (NTRS)

Stafford, J. M.

1974-01-01

Receivers operating on a space vehicle or an aircraft having many on-board transmitters are subject to intermodulation interference from mixing in the transmitting antenna systems, the external environment, or the receiver front-ends. This paper presents the techniques utilized in RFI Math Model computer programs that were developed to aid in the prevention of interference by predicting problem areas prior to occurrence. Frequencies and amplitudes of possible intermodulation products generated in the external environment are calculated and compared to receiver sensitivities. Intermodulation products generated in receivers are evaluated to determine the adequacy of preselector ejection.

A structural equation modeling of executive functions, IQ and mathematical skills in primary students: Differential effects on number production, mental calculus and arithmetical problems.

PubMed

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.

Math anxiety and math performance in children: The mediating roles of working memory and math self-concept.

PubMed

Justicia-Galiano, M José; Martín-Puga, M Eva; Linares, Rocío; Pelegrina, Santiago

2017-12-01

Numerous studies, most of them involving adolescents and adults, have evidenced a moderate negative relationship between math anxiety and math performance. There are, however, a limited number of studies that have addressed the mechanisms underlying this relation. This study aimed to investigate the role of two possible mediational mechanisms between math anxiety and math performance. Specifically, we sought to test the simultaneous mediating role of working memory and math self-concept. A total of 167 children aged 8-12 years participated in this study. Children completed a set of questionnaires used to assess math and trait anxiety, math self-concept as well as measures of math fluency and math problem-solving. Teachers were asked to rate each student's math achievement. As measures of working memory, two backward span tasks were administered to the children. A series of multiple mediation analyses were conducted. Results indicated that both mediators (working memory and math self-concept) contributed to explaining the relationship between math anxiety and math achievement. Results suggest that working memory and self-concept could be worth considering when designing interventions aimed at helping students with math anxiety. Longitudinal designs could also be used to better understand the mediational mechanisms that may explain the relationship between math anxiety and math performance. © 2017 The British Psychological Society.

Modeling Zombie Outbreaks: A Problem-Based Approach to Improving Mathematics One Brain at a Time

ERIC Educational Resources Information Center

Lewis, Matthew; Powell, James A.

2016-01-01

A great deal of educational literature has focused on problem-based learning (PBL) in mathematics at the primary and secondary level, but arguably there is an even greater need for PBL in college math courses. We present a project centered around the Humans versus Zombies moderated tag game played on the Utah State University campus. We discuss…

Special data base of Informational - Computational System 'INM RAS - Black Sea' for solving inverse and data assimilation problems

NASA Astrophysics Data System (ADS)

Zakharova, Natalia; Piskovatsky, Nicolay; Gusev, Anatoly

2014-05-01

Development of Informational-Computational Systems (ICS) for data assimilation procedures is one of multidisciplinary problems. To study and solve these problems one needs to apply modern results from different disciplines and recent developments in: mathematical modeling; theory of adjoint equations and optimal control; inverse problems; numerical methods theory; numerical algebra and scientific computing. The above problems are studied in the Institute of Numerical Mathematics of the Russian Academy of Science (INM RAS) in ICS for personal computers. In this work the results on the Special data base development for ICS "INM RAS - Black Sea" are presented. In the presentation the input information for ICS is discussed, some special data processing procedures are described. In this work the results of forecast using ICS "INM RAS - Black Sea" with operational observation data assimilation are presented. This study was supported by the Russian Foundation for Basic Research (project No 13-01-00753) and by Presidium Program of Russian Academy of Sciences (project P-23 "Black sea as an imitational ocean model"). References 1. V.I. Agoshkov, M.V. Assovskii, S.A. Lebedev, Numerical simulation of Black Sea hydrothermodynamics taking into account tide-forming forces. Russ. J. Numer. Anal. Math. Modelling (2012) 27, No.1, pp. 5-31. 2. E.I. Parmuzin, V.I. Agoshkov, Numerical solution of the variational assimilation problem for sea surface temperature in the model of the Black Sea dynamics. Russ. J. Numer. Anal. Math. Modelling (2012) 27, No.1, pp. 69-94. 3. V.B. Zalesny, N.A. Diansky, V.V. Fomin, S.N. Moshonkin, S.G. Demyshev, Numerical model of the circulation of Black Sea and Sea of Azov. Russ. J. Numer. Anal. Math. Modelling (2012) 27, No.1, pp. 95-111. 4. Agoshkov V.I.,Assovsky M.B., Giniatulin S. V., Zakharova N.B., Kuimov G.V., Parmuzin E.I., Fomin V.V. Informational Computational system of variational assimilation of observation data "INM RAS - Black sea"// Ecological safety of coastal and shelf zones and complex use of shelf resources: Collection of scientific works. Issue 26, Volume 2. - National Academy of Sciences of Ukraine, Marine Hydrophysical Institute, Sebastopol, 2012. Pages 352-360. (In russian)

Visual working memory and number sense: Testing the double deficit hypothesis in mathematics.

PubMed

Toll, Sylke W M; Kroesbergen, Evelyn H; Van Luit, Johannes E H

2016-09-01

Evidence exists that there are two main underlying cognitive factors in mathematical difficulties: working memory and number sense. It is suggested that real math difficulties appear when both working memory and number sense are weak, here referred to as the double deficit (DD) hypothesis. The aim of this study was to test the DD hypothesis within a longitudinal time span of 2 years. A total of 670 children participated. The mean age was 4.96 years at the start of the study and 7.02 years at the end of the study. At the end of the first year of kindergarten, both visual-spatial working memory and number sense were measured by two different tasks. At the end of first grade, mathematical performance was measured with two tasks, one for math facts and one for math problems. Multiple regressions revealed that both visual working memory and symbolic number sense are predictors of mathematical performance in first grade. Symbolic number sense appears to be the strongest predictor for both math areas (math facts and math problems). Non-symbolic number sense only predicts performance in math problems. Multivariate analyses of variance showed that a combination of visual working memory and number sense deficits (NSDs) leads to the lowest performance on mathematics. Our DD hypothesis was confirmed. Both visual working memory and symbolic number sense in kindergarten are related to mathematical performance 2 years later, and a combination of visual working memory and NSDs leads to low performance in mathematical performance. © 2016 The British Psychological Society.

Learning Problems

MedlinePlus

... such as dyslexia or dyscalculia (serious trouble with math), remember that you are not slow or dumb. ... reading and writing. Kids who have trouble with math may have dyscalculia (say: diss-kal-KYOO-lee- ...

Recalibrating Reference within a Dual-Space Interaction Environment

ERIC Educational Resources Information Center

Zemel, Alan; Koschmann, Timothy

2013-01-01

In this paper we examine how two groups of middle school students arrive at shared understandings of and solutions to mathematical problems. Our data consists of logs of student participation in the Virtual Math Teams (VMT) system as they work on math problems. The project supports interaction both through chat and through a virtual whiteboard. We…

On the Computational Complexity of Stochastic Scheduling Problems,

DTIC Science & Technology

1981-09-01

Survey": 1979, Ann. Discrete Math . 5, pp. 287-326. i I (.4) Karp, R.M., "Reducibility Among Combinatorial Problems": 1972, R.E. Miller and J.W...Weighted Completion Time Subject to Precedence Constraints": 1978, Ann. Discrete Math . 2, pp. 75-90. (8) Lawler, E.L. and J.W. Moore, "A Functional

Child Labor, Learning Problems, and Poverty

ERIC Educational Resources Information Center

Taylor, Mark

2017-01-01

In Africa, approximately 80 million children are working. Africa's 41% child labor rate is nearly twice as high as that in Asia. This study examined whether child labor is a direct result of poverty or of reading and math problems in school. The study analyzed reading and math scores of 62 child laborers and 62 non-child laborers from a farming…

Sensitivity and bias under conditions of equal and unequal academic task difficulty.

PubMed

Reed, Derek D; Martens, Brian K

2008-01-01

We conducted an experimental analysis of children's relative problem-completion rates across two workstations under conditions of equal (Experiment 1) and unequal (Experiment 2) problem difficulty. Results were described using the generalized matching equation and were evaluated for degree of schedule versus stimulus control. Experiment 1 involved a symmetrical choice arrangement in which the children could earn points exchangeable for rewards contingent on correct math problem completion. Points were delivered according to signaled variable-interval schedules at each workstation. For 2 children, relative rates of problem completion appeared to have been controlled by the schedule requirements in effect and matched relative rates of reinforcement, with sensitivity values near 1 and bias values near 0. Experiment 2 involved increasing the difficulty of math problems at one of the workstations. Sensitivity values for all 3 participants were near 1, but a substantial increase in bias toward the easier math problems was observed. This bias was possibly associated with responding at the more difficult workstation coming under stimulus control rather than schedule control.

An Out-of-Math Experience: Einstein, Relativity, and the Developmental Mathematics Student.

ERIC Educational Resources Information Center

Fiore, Greg

2000-01-01

Discusses Einstein's special relativity theory and some of the developmental mathematics involved. Presents motivational classroom materials used in discussing relative-motion problems, evaluating a radical expression, graphing with asymptotes, interpreting a graph, studying variation, and solving literal and radical equations. (KHR)

Gender Equity: Still Knocking at the Classroom Door.

ERIC Educational Resources Information Center

Sadker, David

1999-01-01

Subtlety and complacency mask ongoing gender bias in today's classrooms. Updates are presented concerning career segregation; single-sex classrooms; safety and health problems; dropout rates; gifted programs; male/female stereotypes; classroom interactions; SAT scores; math, science and technology gender gaps; political reversals; and female…

Con Carino: Teacher Caring, Math Self-Efficacy, and Math Achievement among Hispanic English Learners

ERIC Educational Resources Information Center

Lewis, James L.; Ream, Robert K.; Bocian, Kathleen M.; Cardullo, Richard A.; Hammond, Kimberly A.; Fast, Lisa A.

2012-01-01

Background/Context: How do we account for the persistence of below-average math test score performance among California Hispanics who are fluent in English, as well as Spanish-dominant English learners? Recent studies have attributed the problem to an overly rigid focus on "what works" in curriculum and fluency in English to the…

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.…

Shaping the Future with Math, Science, and Technology: Solutions and Lesson Plans to Prepare Tomorrow's Innovators

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…

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.…

Problem Solvers: MathLab's Design Brings Professional Learning into the Classroom

ERIC Educational Resources Information Center

Morales, Sara; Sainz, Terri

2017-01-01

Imagine teachers, administrators, and university mathematicians and staff learning together in a lab setting where students are excited about attending a week-long summer math event because they are at the forefront of the experience. Piloted in three New Mexico classrooms during summer 2014, MathLab expanded into 17 lab settings over six…

An Exploration of the Relationships among Cattell-Horn-Carroll (CHC) Theory-Aligned Cognitive Abilities and Math Fluency

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…

Problem Solvers: Teacher Leader Teams with Content Specialist to Strengthen Math Instruction

ERIC Educational Resources Information Center

Zrike, Sara; Connolly, Christine

2015-01-01

In early November 2013, the authors started talking about visiting the Hurley School, a dual-language school in Boston, Massachusetts. The Hurley School had spent considerable time transitioning to the Common Core State Standards on literacy, but little time addressing the shifts in math. They worried that math classes were no longer rigorous…

Introduction to Problem Solving, Grades 6-8 [with CD-ROM]. The Math Process Standards, Grades 6-8 Series

ERIC Educational Resources Information Center

Schackow, Joy Bronston; O'Connell, Susan

2008-01-01

The National Council of Teachers of Mathematics' (NCTM's) Process Standards support teaching that helps students develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every middle grades math teacher the opportunity to explore each standard in depth. The series offers friendly,…

Diagrams and Math Notation in E-Learning: Growing Pains of a New Generation

ERIC Educational Resources Information Center

Smith, Glenn Gordon; Ferguson, David

2004-01-01

Current e-learning environments are ill-suited to college mathematics. Instructors/students struggle to post diagrams and math notation. A new generation of math-friendly e-learning tools, including WebEQ, bundled with Blackboard 6, and NetTutor's Whiteboard, address these problems. This paper compares these two systems using criteria for ideal…

More, All Gone, Empty, Full: Math Talk Every Day in Every Way

ERIC Educational Resources Information Center

Greenberg, Jan

2012-01-01

Math is everywhere! Mathematics is "a way of describing the world--a way of thinking, knowing, and problem-solving" (Virginia's Early Childhood Development Alignment Project 2008, 83). Infants and toddlers are natural mathematicians. Even without adult support, infants and toddlers use math concepts to make sense of their world. An important role…

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…

Academic Progress in Developmental Math Courses: A Comparative Study of Student Retention

ERIC Educational Resources Information Center

Silverman, Loretta H.

2010-01-01

The majority of college students are not ready for college-level math courses, which, when completed, have been shown to increase graduation and transfer rates among college students. To address this problem, the Math My Way (MMW) program was developed to integrate module-based curriculum and mastery learning approaches. The purpose of this study…

Mathvision: A Mobile Video Application for Math Teacher Noticing of Learning Progressions

ERIC Educational Resources Information Center

Lewis, Stephen T.; Chao, Theodore; Battista, Michael

2017-01-01

We report on the development and evaluation of MathVision, a mobile-application designed to develop Virtual Professional Learning Communities through asynchronous discussion about 2nd, 3rd, 4th, and 5th grade students' mathematical thinking. MathVision allows teachers to upload videos of problems solving sessions using Cognition Based Assessment…

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…

Effectiveness of Mastering Math Facts on Second- and Third-Grade Students with Specific Learning Disabilities in Mathematics

ERIC Educational Resources Information Center

Fries, Karen M.

2013-01-01

Students with specific learning disabilities (SLD) in mathematics can typically experience long-lasting problems when developing fluency with basic math facts despite the use of evidence-based practices. One recently developed intervention to promote memorization and fact-fluency is Mastering Math Facts (MMF). MMF is a commercially-available…

Types of Learning Problems

MedlinePlus

... Dyscalculia is defined as difficulty performing mathematical calculations. Math is problematic for many students, but dyscalculia may prevent a teenager from grasping even basic math concepts. Auditory Memory and Processing Disabilities Auditory memory ...

The effectiveness of problem-based learning on students’ problem solving ability in vector analysis course

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.

Effects of methylphenidate on acute math performance in children with attention-deficit hyperactivity disorder.

PubMed

Grizenko, Natalie; Cai, Emmy; Jolicoeur, Claude; Ter-Stepanian, Mariam; Joober, Ridha

2013-11-01

Examine the short-term (acute) effects of methylphenidate (MPH) on math performance in children with attention-deficit hyperactivity disorder (ADHD) and what factors predict improvement in math performance. One hundred ninety-eight children with ADHD participated in a double-blind, placebo-controlled, randomized crossover MPH trial. Math response to MPH was determined through administration of math problems adjusted to their academic level during the Restricted Academic Situation Scale (RASS). Student t tests were conducted to assess change in math performance with psychostimulants. Correlation between change on the RASS and change on the math performance was also examined. Linear regression was performed to determine predictor variables. Children with ADHD improved significantly in their math with MPH (P < 0.001). The degree of improvement on the RASS (which evaluates motor activity and orientation to task) and on math performance on MPH was highly correlated. A child's age at baseline and Wechsler Individual Achievement Test (WIAT)-Numerical Operations standard scores at baseline accounted for 15% of variances for acute math improvement. MPH improves acute math performance in children with ADHD. Younger children with lower math scores (as assessed by the WIAT) improved most on math scores when given psychostimulants. NCT00483106.

Math anxiety in Thai early adolescents: a cognitive-behavioral perspective.

PubMed

Wangsiriwech, Tawatchai; Pisitsungkagarn, Kullaya; Jarukasemthawee, Somboon

2017-08-29

With its high prevalence and debilitating impact on students, math anxiety is well studied within the educational context. However, the problem has yet to be examined from the psychological perspective, which is necessary in order to produce a more comprehensive perspective and to pave the way for therapeutic intervention. The current study, therefore, was conducted to identify cognitive and behavioral factors relevant to the occurrence and maintenance of math anxiety. Data were collected from 300 grade 9 students (150 females and 150 males) from public and private schools in Bangkok, Thailand. Participants responded to the measures of math anxiety, negative math beliefs, negative math appraisals and math avoidance. Structural equation modeling was conducted. Model fit indices obtained consistently suggested the good fitness of the model to the data [e.g. χ2/df = 0.42, root mean square error of approximation (RMSEA) = 0.00]. Negative math beliefs, negative math appraisals and math avoidance had a significant direct effect on math anxiety. Additionally, the indirect effect of negative math appraisal was observed between negative math beliefs and math anxiety. In summary, the proposed model accounted for 84.5% of the variance in the anxiety. The findings are discussed with particular focus on implications for therapeutic intervention for math anxiety.

The effects of using diagramming as a representational technique on high school students' achievement in solving math word problems

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).

MathBrowser: Web-Enabled Mathematical Software with Application to the Chemistry Curriculum, v 1.0

NASA Astrophysics Data System (ADS)

Goldsmith, Jack G.

1997-10-01

MathSoft: Cambridge, MA, 1996; free via ftp from www.mathsoft.com. The movement to provide computer-based applications in chemistry has come to focus on three main areas: software aimed at specific applications (drawing, simulation, data analysis, etc.), multimedia applications designed to assist in the presentation of conceptual information, and packages to be used in conjunction with a particular textbook at a specific point in the chemistry curriculum. The result is a situation where no single software package devoted to problem solving can be used across a large segment of the curriculum. Adoption of World Wide Web (WWW) technology by a manufacturer of mathematical software, however, has produced software that provides an attractive means of providing a problem-solving resource to students in courses from freshman through senior level.

Learning Disabilities and ADHD

MedlinePlus

... several areas, including speaking, reading, writing, and doing math. Attention deficit hyperactivity disorder (ADHD) is not a ... Dyscalculia makes it hard for people to understand math. They may also have problems telling time and ...

Your Brain and Nervous System

MedlinePlus

... using your cerebrum. You need it to solve math problems, figure out a video game, and draw ... said to be more analytical, helping you with math, logic, and speech. Scientists do know for sure ...

Computer-based training for improving mental calculation in third- and fifth-graders.

PubMed

Caviola, Sara; Gerotto, Giulia; Mammarella, Irene C

2016-11-01

The literature on intervention programs to improve arithmetical abilities is fragmentary and few studies have examined training on the symbolic representation of numbers (i.e. Arabic digits). In the present research, three groups of 3rd- and 5th-grade schoolchildren were given training on mental additions: 76 were assigned to a computer-based strategic training (ST) group, 73 to a process-based training (PBT) group, and 71 to a passive control (PC) group. Before and after the training, the children were given a criterion task involving complex addition problems, a nearest transfer task on complex subtraction problems, two near transfer tasks on math fluency, and a far transfer task on numerical reasoning. Our results showed developmental differences: 3rd-graders benefited more from the ST, with transfer effects on subtraction problems and math fluency, while 5th-graders benefited more from the PBT, improving their response times in the criterion task. Developmental, clinical and educational implications of these findings are discussed. Copyright © 2016 Elsevier B.V. All rights reserved.

Does Cognitive Strategy Training on Word Problems Compensate for Working Memory Capacity in Children with Math Difficulties?

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…

Experimental Intervention Studies on Word Problem Solving and Math Disabilities: A Selective Analysis of the Literature

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…

A Pilot Study of a Self-Voicing Computer Program for Prealgebra Math Problems

ERIC Educational Resources Information Center

Beal, Carole R.; Rosenblum, L. Penny; Smith, Derrick W.

2011-01-01

Fourteen students with visual impairments in Grades 5-12 participated in the field-testing of AnimalWatch-VI-Beta. This computer program delivered 12 prealgebra math problems and hints through a self-voicing audio feature. The students provided feedback about how the computer program can be improved and expanded to make it accessible to all users.…

The AMATYC Review. 1994-1995.

ERIC Educational Resources Information Center

Browne, Joseph, Ed.

1995-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features presenting book and software reviews and math problems. In addition to regular features such as…

One Fish, Two Fish, Redfish, You Fish!

ERIC Educational Resources Information Center

White, Katherine; Timmons, Maryellen; Medders, Paul

2011-01-01

The recreational fishing activity presented in this article provides a hands-on, problem-based experience for students; it unites biology, math, economics, environmental policy, and population dynamics concepts. In addition, the activity allows students to shape environmental policy in a realistic setting and evaluate their peers' work. By…

Number Talks Build Numerical Reasoning

ERIC Educational Resources Information Center

Parrish, Sherry D.

2011-01-01

"Classroom number talks," five- to fifteen-minute conversations around purposefully crafted computation problems, are a productive tool that can be incorporated into classroom instruction to combine the essential processes and habits of mind of doing math. During number talks, students are asked to communicate their thinking when presenting and…

The effects of anxious responding on mental arithmetic and lexical decision task performance.

PubMed

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 University Math Help Centre as a Support Framework for Students, the Instructor, the Course, and the Department

ERIC Educational Resources Information Center

Menz, Petra; Jungic, Veselin

2015-01-01

Among many challenges a math department at a post-secondary institution will most likely be faced with the optimization problem of how best to offer out-of-lecture learning support to several thousand first- and second-year university students enrolled in large math service courses within given spatial, scheduling, financial, technological, and…

Effects of Training on Pre-Service Special Educators' Abilities to Co-Teach Math Vocabulary in Preparation for Inclusion Settings

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…

Impact of Cover, Copy, and Compare on Fluency Outcomes for Students with Disabilities and Math Deficits: A Review of the Literature

ERIC Educational Resources Information Center

Stocker, James D., Jr.; Kubina, Richard M., Jr.

2017-01-01

Fluency, a combination of response accuracy and speed, enables students to work efficiently through academic tasks. Students with disabilities and math deficits often struggle to learn math facts fluently. Although issues with fluency frequently coexist with a disability, problems gaining fluency also stem from a lack of practice and appropriate…

Learning by Choosing: Fourth Graders Use of an Online Multimedia Tutoring System for Math Problem Solving

ERIC Educational Resources Information Center

Maloy, Robert W.; Razzaq, Leena; Edwards, Sharon A.

2014-01-01

This study explored the use of an online mathematics tutoring system in eight fourth grade classrooms in two Massachusetts communities--a small rural city with a low 2010 Adequate Yearly Progress (AYP) math performance rating and a small suburban district with a high 2010 AYP math performance rating. 165 fourth graders completed 11 modules…

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…

"With Percentages the 100 Is Always in the Denominator": From the Field to Pre-Service Teachers

ERIC Educational Resources Information Center

Cincinatus, Ronit Bassan; Sheffet, Malka

2016-01-01

The ubiquity of the subject of percentages in our everyday life demands that math teachers and pre-service math teachers demonstrate a profound knowledge and thorough understanding of the concept of percentages. This work, which originated from one specific lesson in an 8th grade math class, studies the conceptual understanding and problem-solving…

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…

Utility of an Error Analysis and Performance Deficit Assessment for Selecting Brief Interventions to Increase Math Fluency

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…

Using Mathematics Curriculum Based Measurement as an Indicator of Student Performance on State Standards

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…

How preschool executive functioning predicts several aspects of math achievement in Grades 1 and 3: A longitudinal study.

PubMed

Viterbori, Paola; Usai, M Carmen; Traverso, Laura; De Franchis, Valentina

2015-12-01

This longitudinal study analyzes whether selected components of executive function (EF) measured during the preschool period predict several indices of math achievement in primary school. Six EF measures were assessed in a sample of 5-year-old children (N = 175). The math achievement of the same children was then tested in Grades 1 and 3 using both a composite math score and three single indices of written calculation, arithmetical facts, and problem solving. Using previous results obtained from the same sample of children, a confirmatory factor analysis examining the latent EF structure in kindergarten indicated that a two-factor model provided the best fit for the data. In this model, inhibition and working memory (WM)-flexibility were separate dimensions. A full structural equation model was then used to test the hypothesis that math achievement (the composite math score and single math scores) in Grades 1 and 3 could be explained by the two EF components comprising the kindergarten model. The results indicate that the WM-flexibility component measured during the preschool period substantially predicts mathematical achievement, especially in Grade 3. The math composite scores were predicted by the WM-flexibility factor at both grade levels. In Grade 3, both problem solving and arithmetical facts were predicted by the WM-flexibility component. The results empirically support interventions that target EF as an important component of early childhood mathematics education. Copyright © 2015 Elsevier Inc. All rights reserved.

Positive solutions of fractional integral equations by the technique of measure of noncompactness.

PubMed

Nashine, Hemant Kumar; Arab, Reza; Agarwal, Ravi P; De la Sen, Manuel

2017-01-01

In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo's fixed point theorem. To achieve the goal, we first establish new fixed point theorems using a new contractive condition of the measure of noncompactness in Banach spaces. By doing this we generalize Darbo's fixed point theorem along with some recent results of (Aghajani et al. (J. Comput. Appl. Math. 260:67-77, 2014)), (Aghajani et al. (Bull. Belg. Math. Soc. Simon Stevin 20(2):345-358, 2013)), (Arab (Mediterr. J. Math. 13(2):759-773, 2016)), (Banaś et al. (Dyn. Syst. Appl. 18:251-264, 2009)), and (Samadi et al. (Abstr. Appl. Anal. 2014:852324, 2014)). We also derive corresponding coupled fixed point results. Finally, we give an illustrative example to verify the effectiveness and applicability of our results.

Post-error response inhibition in high math-anxious individuals: Evidence from a multi-digit addition task.

PubMed

Núñez-Peña, M Isabel; Tubau, Elisabet; Suárez-Pellicioni, Macarena

2017-06-01

The aim of the study was to investigate how high math-anxious (HMA) individuals react to errors in an arithmetic task. Twenty HMA and 19 low math-anxious (LMA) individuals were presented with a multi-digit addition verification task and were given response feedback. Post-error adjustment measures (response time and accuracy) were analyzed in order to study differences between groups when faced with errors in an arithmetical task. Results showed that both HMA and LMA individuals were slower to respond following an error than following a correct answer. However, post-error accuracy effects emerged only for the HMA group, showing that they were also less accurate after having committed an error than after giving the right answer. Importantly, these differences were observed only when individuals needed to repeat the same response given in the previous trial. These results suggest that, for HMA individuals, errors caused reactive inhibition of the erroneous response, facilitating performance if the next problem required the alternative response but hampering it if the response was the same. This stronger reaction to errors could be a factor contributing to the difficulties that HMA individuals experience in learning math and doing math tasks. Copyright © 2017 Elsevier B.V. All rights reserved.

Communication Problems in Children with Autism Spectrum Disorder

MedlinePlus

... or an advanced ability to count and do math calculations. Approximately 10 percent of children with ASD ... areas, such as memorization, calendar calculation, music, or math. Uneven language development. Many children with ASD develop ...

Maths Games: A Universal Design Approach to Mathematical Reasoning

ERIC Educational Resources Information Center

Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.

2017-01-01

Providing students with an opportunity to explore mathematical content through games allows teachers to include tasks that: (1) present alternative representations of the content; (2) welcome various expressions of mathematical reasoning; and (3) incorporate variations that empower all students to engage in the problem solving process. Games not…

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…

An Excel-Aided Method for Teaching Calculus-Based Business Mathematics

ERIC Educational Resources Information Center

Liang, Jiajuan; Martin, Linda

2008-01-01

Calculus-based business mathematics is a required quantitative course for undergraduate business students in most AACSB accredited schools or colleges of business. Many business students, however, have relatively weak mathematical background or even display math-phobia when presented with calculus problems. Because of the popularity of Excel, its…

Teaching Pre-Service Teachers to Make Digital Stories That Explain Complex Mathematical Concepts in a Real-World Context: The "Math-eo" Project, Creating "Cool New Tools"

ERIC Educational Resources Information Center

Walters, Lynne Masel; Green, Martha R.; Goldsby, Dianne; Walters, Timothy N.; Wang, Liangyan

2016-01-01

This mixed methods study examines whether engaging in a problem-solving project to create Math-eos (digital videos) increases pre-service teachers' understanding of the relationship between visual, auditory, and verbal representation and critical thinking in mathematics. Additionally, the study looks at what aspects of a digital problem solving…

Integrating Multiple Intelligences and Learning Styles on Solving Problems, Achievement in, and Attitudes towards Math in Six Graders with Learning Disabilities in Cooperative Groups

ERIC Educational Resources Information Center

Eissa, Mourad Ali; Mostafa, Amaal Ahmed

2013-01-01

This study investigated the effect of using differentiated instruction by integrating multiple intelligences and learning styles on solving problems, achievement in, and attitudes towards math in six graders with learning disabilities in cooperative groups. A total of 60 students identified with LD were invited to participate. The sample was…

Algebraic reasoning and bat-and-ball problem variants: Solving isomorphic algebra first facilitates problem solving later.

PubMed

Hoover, Jerome D; Healy, Alice F

2017-12-01

The classic bat-and-ball problem is used widely to measure biased and correct reasoning in decision-making. University students overwhelmingly tend to provide the biased answer to this problem. To what extent might reasoners be led to modify their judgement, and, more specifically, is it possible to facilitate problem solution by prompting participants to consider the problem from an algebraic perspective? One hundred ninety-seven participants were recruited to investigate the effect of algebraic cueing as a debiasing strategy on variants of the bat-and-ball problem. Participants who were cued to consider the problem algebraically were significantly more likely to answer correctly relative to control participants. Most of this cueing effect was confined to a condition that required participants to solve isomorphic algebra equations corresponding to the structure of bat-and-ball question types. On a subsequent critical question with differing item and dollar amounts presented without a cue, participants were able to generalize the learned information to significantly reduce overall bias. Math anxiety was also found to be significantly related to bat-and-ball problem accuracy. These results suggest that, under specific conditions, algebraic reasoning is an effective debiasing strategy on bat-and-ball problem variants, and provide the first documented evidence for the influence of math anxiety on Cognitive Reflection Test performance.

Universals and Specifics of Math Self-Concept, Math Self-Efficacy, and Math Anxiety across 41 PISA 2003 Participating Countries

ERIC Educational Resources Information Center

Lee, Jihyun

2009-01-01

The overarching goal of the present study is to investigate the factorial structure of three closely related constructs: math self-concept, math self-efficacy, and math anxiety. The factorial structure consisting of three factors, each representing math self-concept, math self-efficacy, and math anxiety, is supported in all 41 countries employed…

Using Bayesian Networks to Understand Relationships among Math Anxiety, Genders, Personality Types, and Study Habits at a University in Jordan

ERIC Educational Resources Information Center

Smail, Linda

2017-01-01

Mathematics is the foundation of all sciences, but most students have problems learning math. Although students' success in life related to their success in learning, many would not take a math course unless it is their university's core requirements. Multiple reasons exist for students' poor performance in mathematics, but one prevalent variable…

Evaluation of Floors and Item Gradients for Reading and Math Tests for Young Children

ERIC Educational Resources Information Center

Bradley-Johnson, Sharon; Durmusoglu, Gokce

2005-01-01

Ignoring the adequacy of floors and item gradients for tests used with young children can have serious consequences. Thus, because of the importance of early intervention for reading and math problems, we used the criteria suggested by Bracken for adequate floors and item gradients, and reviewed 15 reading tests and 12 math tests for ages 4-0…

Training in Influencing Skills from Neuro-Linguistic Programming (Modelled from Hypnosis and Family Therapy), in Combination with Innovative Maths Pedagogy, Raises Maths Attainment in Adult Numeracy Learners

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…

Automated Loads Analysis System (ATLAS)

NASA Technical Reports Server (NTRS)

Gardner, Stephen; Frere, Scot; O’Reilly, Patrick

2013-01-01

ATLAS is a generalized solution that can be used for launch vehicles. ATLAS is used to produce modal transient analysis and quasi-static analysis results (i.e., accelerations, displacements, and forces) for the payload math models on a specific Shuttle Transport System (STS) flight using the shuttle math model and associated forcing functions. This innovation solves the problem of coupling of payload math models into a shuttle math model. It performs a transient loads analysis simulating liftoff, landing, and all flight events between liftoff and landing. ATLAS utilizes efficient and numerically stable algorithms available in MSC/NASTRAN.

Dynamic SPECT reconstruction from few projections: a sparsity enforced matrix factorization approach

NASA Astrophysics Data System (ADS)

Ding, Qiaoqiao; Zan, Yunlong; Huang, Qiu; Zhang, Xiaoqun

2015-02-01

The reconstruction of dynamic images from few projection data is a challenging problem, especially when noise is present and when the dynamic images are vary fast. In this paper, we propose a variational model, sparsity enforced matrix factorization (SEMF), based on low rank matrix factorization of unknown images and enforced sparsity constraints for representing both coefficients and bases. The proposed model is solved via an alternating iterative scheme for which each subproblem is convex and involves the efficient alternating direction method of multipliers (ADMM). The convergence of the overall alternating scheme for the nonconvex problem relies upon the Kurdyka-Łojasiewicz property, recently studied by Attouch et al (2010 Math. Oper. Res. 35 438) and Attouch et al (2013 Math. Program. 137 91). Finally our proof-of-concept simulation on 2D dynamic images shows the advantage of the proposed method compared to conventional methods.

Children’s Mathematics and Verbal Self-concepts and Externalizing Behaviors: The Moderating Role of Peer Rejection at School

PubMed Central

Passiatore, Ylenia; Grimaldi Capitello, Teresa; De Stasio, Simona; Millioni, Michela; Gentile, Simonetta; Fiorilli, Caterina

2017-01-01

Previous research has found a strong correlation between children’s academic self-concept and their behavioral problems. The present study examined whether children’s peer rejection moderated the relationship between children’s math and verbal self-concepts and their behavioral problems at school. We expected that children’s social competence, as measured by peer rejection, moderated the negative effect of low self-concept on children’s externalizing behaviors. Participants were 173 children (males = 93, Mage = 10.31 years, SD = 1.43). The main findings showed that peer rejection moderated the effect of both low verbal and math self-concepts on children’s externalizing behavior. The results are discussed in terms of the protective factor played by children’s social competence reducing the impact of low self-concept on children’s externalizing behaviors. PMID:29163290

10 Ways to Help Your Child Succeed in Middle School

MedlinePlus

... dog (dinner) study for social studies test finish math worksheet read over science class notes put clothes ... number of tries to remember something correctly. In math or science, doing practice problems is a great ...

Keeping Up in School? Identifying Learning Problems

MedlinePlus

... español Send us your comments Reading, writing, and math are the building blocks of learning. Mastering these ... and can create issues with reading, writing, and math. “Typically, in the first few years of elementary ...

An improved error bound for linear complementarity problems for B-matrices.

PubMed

Gao, Lei; Li, Chaoqian

2017-01-01

A new error bound for the linear complementarity problem when the matrix involved is a B -matrix is presented, which improves the corresponding result in (Li et al. in Electron. J. Linear Algebra 31(1):476-484, 2016). In addition some sufficient conditions such that the new bound is sharper than that in (García-Esnaola and Peña in Appl. Math. Lett. 22(7):1071-1075, 2009) are provided.

The Neurodevelopmental Basis of Math Anxiety

PubMed Central

Young, Christina B.; Wu, Sarah S.; Menon, Vinod

2012-01-01

Math anxiety is a negative emotional reaction to situations involving mathematical problem solving. Math anxiety has a detrimental impact on an individual’s long-term professional success, but its neurodevelopmental origins are unknown. In a functional MRI study on 7- to 9-year-old children, we showed that math anxiety was associated with hyperactivity in right amygdala regions that are important for processing negative emotions. In addition, we found that math anxiety was associated with reduced activity in posterior parietal and dorsolateral prefrontal cortex regions involved in mathematical reasoning. Multivariate classification analysis revealed distinct multivoxel activity patterns, which were independent of overall activation levels in the right amygdala. Furthermore, effective connectivity between the amygdala and ventromedial prefrontal cortex regions that regulate negative emotions was elevated in children with math anxiety. These effects were specific to math anxiety and unrelated to general anxiety, intelligence, working memory, or reading ability. Our study identified the neural correlates of math anxiety for the first time, and our findings have significant implications for its early identification and treatment. PMID:22434239

The neurodevelopmental basis of math anxiety.

PubMed

Young, Christina B; Wu, Sarah S; Menon, Vinod

2012-05-01

Math anxiety is a negative emotional reaction to situations involving mathematical problem solving. Math anxiety has a detrimental impact on an individual's long-term professional success, but its neurodevelopmental origins are unknown. In a functional MRI study on 7- to 9-year-old children, we showed that math anxiety was associated with hyperactivity in right amygdala regions that are important for processing negative emotions. In addition, we found that math anxiety was associated with reduced activity in posterior parietal and dorsolateral prefrontal cortex regions involved in mathematical reasoning. Multivariate classification analysis revealed distinct multivoxel activity patterns, which were independent of overall activation levels in the right amygdala. Furthermore, effective connectivity between the amygdala and ventromedial prefrontal cortex regions that regulate negative emotions was elevated in children with math anxiety. These effects were specific to math anxiety and unrelated to general anxiety, intelligence, working memory, or reading ability. Our study identified the neural correlates of math anxiety for the first time, and our findings have significant implications for its early identification and treatment.

Insecure attachment is associated with math anxiety in middle childhood.

PubMed

Bosmans, Guy; De Smedt, Bert

2015-01-01

Children's anxiety for situations requiring mathematical problem solving, a concept referred to as math anxiety, has a unique and detrimental impact on concurrent and long-term mathematics achievement and life success. Little is known about the factors that contribute to the emergence of math anxiety. The current study builds on the hypothesis that math anxiety might reflect a maladaptive affect regulation mechanism that is characteristic for insecure attachment relationships. To test this hypothesis, 87 children primary school children (M age = 10.34 years; SD age = 0.63) filled out questionnaires measuring insecure attachment and math anxiety. They all completed a timed and untimed standardized test of mathematics achievement. Our data revealed that individual differences in math anxiety were significantly related to insecure attachment, independent of age, sex, and IQ. Both tests of mathematics achievement were associated with insecure attachment and this effect was mediated by math anxiety. This study is the first to indicate that math anxiety might develop in the context of insecure parent-child attachment relationships.

Insecure attachment is associated with math anxiety in middle childhood

PubMed Central

Bosmans, Guy; De Smedt, Bert

2015-01-01

Children’s anxiety for situations requiring mathematical problem solving, a concept referred to as math anxiety, has a unique and detrimental impact on concurrent and long-term mathematics achievement and life success. Little is known about the factors that contribute to the emergence of math anxiety. The current study builds on the hypothesis that math anxiety might reflect a maladaptive affect regulation mechanism that is characteristic for insecure attachment relationships. To test this hypothesis, 87 children primary school children (Mage = 10.34 years; SDage = 0.63) filled out questionnaires measuring insecure attachment and math anxiety. They all completed a timed and untimed standardized test of mathematics achievement. Our data revealed that individual differences in math anxiety were significantly related to insecure attachment, independent of age, sex, and IQ. Both tests of mathematics achievement were associated with insecure attachment and this effect was mediated by math anxiety. This study is the first to indicate that math anxiety might develop in the context of insecure parent–child attachment relationships. PMID:26528233

Your Child and Problem Solving, Math and Science. Getting Involved Workshop Guide: A Manual for the Parent Group Trainer. The Best of BES--Basic Educational Skills Materials.

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…

Math Notebook (From Theory to Practice). Information for Teachers/Parents of Children with Learning Problems in Mathematics. Volumes 5 and 6.

ERIC Educational Resources Information Center

Sharma, Mahesh C., Ed.; Travaglini, Lillian E., Ed.

1988-01-01

Math Notebook is a publication issued 10 times a year, with each issue focusing on a particular learning problem in mathematics and its diagnosis and remediation through practical, workable strategies for use by teaches, parents, and tutors. All the articles were written by Mahesh C. Sharma, with the exception of "The Japanese Soroban," by Frances…

Girls Talk Math - Engaging Girls Through Math Media

NASA Astrophysics Data System (ADS)

Bernardi, Francesca; Morgan, Katrina

2017-11-01

``Girls Talk Math: Engaging Girls through Math Media'' is a free two-week long summer day camp for high-school girls in the Triangle area of NC. This past June the camp had its second run thanks to renewed funding from the Mathematical Association of America Tensor Women and Mathematics Grant. The camp involved 35 local high-school students who identify as female. Campers complete challenging problem sets and research the life of a female scientist who worked on similar problems. They report their work in a blog post and record a podcast about the scientist they researched. The curriculum has been developed by Mathematics graduate students at UNC from an inquiry based learning perspective; problem sets topics include some theoretical mathematics, but also more applied physics-based material. Campers worked on fluid dynamics, special relativity, and quantum mechanics problem sets which included experiments. The camp has received positive feedback from the local community and the second run saw a large increase in the number of participants. The program is evaluated using pre and post surveys, which measure campers' confidence and interest in pursuing higher level courses in STEM. The results from the past two summers have been encouraging. Mathematical Association of America Tensor Women and Mathematics Grant.

Petrina White | Oregon State University Extension Service

Science.gov Websites

the "Get a new challenge" button which displays below the challenge text. Math question: * 6 + 6 = Solve this simple math problem and enter the result. E.g. for 1+3, enter 4. Send e-mail

A Quantitative Study of the Use of "DreamBox Learning" and Its Effectiveness in Improving Math Achievement of Elementary Students with Math Difficulties

ERIC Educational Resources Information Center

Grams, Devonee

2018-01-01

Math underachievement is of grave concern with 42% of 4th grade and 36% of 8th grade students achieving at a proficient or advanced level in mathematics, and schools are continually searching for interventions to implement with struggling students. The problem addressed in this study is recently an elementary school purchased access to…

SATA Stochastic Algebraic Topology and Applications

DTIC Science & Technology

2017-01-23

Harris et al. Selective sampling after solving a convex problem". arXiv:1609.05609 [ math , stat] (Sept. 2016). arXiv: 1609.05609. 13. Baryshnikov...Functions, Adv. Math . 245, 573-586, 2014. 15. Y. Baryshnikov, Liberzon, Daniel,Robust stability conditions for switched linear systems: Commutator bounds...Consistency via Kernel Estimation, arXiv:1407.5272 [ math , stat] (July 2014) arXiv: 1407.5272. to appear in Bernoulli 18. O.Bobrowski and S.Weinberger

The Tale of Two Noras: How a Yup'ik Middle Schooler Was Differently Constructed as a Math Learner

ERIC Educational Resources Information Center

Hogan, Maureen P.

2008-01-01

This case study seeks to explain why a Yup'ik middle schooler, Nora, from a remote Alaskan village, was differently constructed as a math learner by her 6th- and 7th-grade math teachers. When a culturally relevant curriculum was used in 6th grade, Nora had a greater opportunity for leadership, ownership of knowledge, collaborative problem solving,…

The AMATYC Review, Fall 1992-Spring 1993.

ERIC Educational Resources Information Center

Cohen, Don, Ed.; Browne, Joseph, Ed.

1993-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, as well as regular features presenting book and software reviews and math problems. The first of two issues of volume 14…

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…

Arithmetic Practice Can Be Modified to Promote Understanding of Mathematical Equivalence

ERIC Educational Resources Information Center

McNeil, Nicole M.; Fyfe, Emily R.; Dunwiddie, April E.

2015-01-01

This experiment tested if a modified version of arithmetic practice facilitates understanding of math equivalence. Children within 2nd-grade classrooms (N = 166) were randomly assigned to practice single-digit addition facts using 1 of 2 workbooks. In the control workbook, problems were presented in the traditional "operations = answer"…

Mathematics Forum, Second Edition, August 1972.

ERIC Educational Resources Information Center

Qalo, Ropate, Ed.; And Others

This is a magazine for teachers of mathematics in the South Pacific who teach at the Form I level or above. Most of the articles present activities or materials to use in the classroom. Included are articles on instructional strategies, curriculum developments, interesting problems, puzzles, and math lab activities. This issue includes an article…

The AMATYC Review, Volume 15, Numbers 1-2, Fall 1993-Spring 1994.

ERIC Educational Resources Information Center

Browne, Joseph, Ed.

1994-01-01

Designed as a avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features presenting book and software reviews and math problems. Volume 15 includes the following articles:…

The AMATYC Review, Fall 1987, Spring 1988.

ERIC Educational Resources Information Center

Cohen, Don, Ed.

1988-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features that present book and software reviews and math problems. The first of two issues of volume 9…

Comparison of Difficulties and Reliabilities of Math-Completion and Multiple-Choice Item Formats.

ERIC Educational Resources Information Center

Oosterhof, Albert C.; Coats, Pamela K.

Instructors who develop classroom examinations that require students to provide a numerical response to a mathematical problem are often very concerned about the appropriateness of the multiple-choice format. The present study augments previous research relevant to this concern by comparing the difficulty and reliability of multiple-choice and…

Extreme value problems without calculus: a good link with geometry and elementary maths

NASA Astrophysics Data System (ADS)

Ganci, Salvatore

2016-11-01

Some classical examples of problem solving, where an extreme value condition is required, are here considered and/or revisited. The search for non-calculus solutions appears pedagogically useful and intriguing as shown through a rich literature. A teacher, who teaches both maths and physics, (as happens in Italian High schools) can find in these kinds of problems a mind stimulating exercise compared with the standard solution obtained by the differential calculus. A good link between the geometric and analytical explanations is so established.

Math anxiety and exposure to statistics in messages about genetically modified foods: effects of numeracy, math self-efficacy, and form of presentation.

PubMed

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.

Air Force Officer Qualifying Test Form T: Initial Item-, Test-, Factor-, and Composite-Level Analyses

DTIC Science & Technology

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

On the Maximum-Weight Clique Problem.

DTIC Science & Technology

1985-06-01

hypergeometric distribution", Discrete Math . 25, 285-287 .* CHVATAL, V. (1983), Linear Programming, W.H. Freeman, New York/San Francisco. COOK, S.A. (1971...Annals Discrete Math . 21, 325-356 GROTSCHEL, M., L. LOVASZ, and A. SCHRIJVER ((1984b), "Relaxations of Vertex Packing", Preprint No. 35...de Grenoble. See also N. Sbihi, "Algorithme de recherche d’un stable de cardinalite maximum dans un graphe sans etoile", Discrete Math . 19 (1980), 53

Sources of difficulty in the solution of verbal arithmetic problems by mentally retarded and nonretarded individuals.

PubMed

Bilsky, L H; Judd, T

1986-01-01

Effects of several logical (i.e., operation type and amount of extraneous information), memory (i.e., availability of memory aids and number of problem presentations), and semantic variables (i.e., problem text type) on verbal math problem-solving performance were assessed. Results revealed that the overall problem-solving performance of mildly mentally retarded adolescents was inferior to that of nonretarded fourth graders in spite of comparable performance on a computational screening test. Although the retarded individuals experienced particular difficulty with subtraction and static problem texts, the two groups responded similarly to the other experimental variables. The possibly important role of comprehension in problem-solving was discussed.

Math Anxiety in Second and Third Graders and Its Relation to Mathematics Achievement

PubMed Central

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.

PubMed

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.

A Duality Theory for Non-convex Problems in the Calculus of Variations

NASA Astrophysics Data System (ADS)

Bouchitté, Guy; Fragalà, Ilaria

2018-07-01

We present a new duality theory for non-convex variational problems, under possibly mixed Dirichlet and Neumann boundary conditions. The dual problem reads nicely as a linear programming problem, and our main result states that there is no duality gap. Further, we provide necessary and sufficient optimality conditions, and we show that our duality principle can be reformulated as a min-max result which is quite useful for numerical implementations. As an example, we illustrate the application of our method to a celebrated free boundary problem. The results were announced in Bouchitté and Fragalà (C R Math Acad Sci Paris 353(4):375-379, 2015).

A Duality Theory for Non-convex Problems in the Calculus of Variations

NASA Astrophysics Data System (ADS)

Bouchitté, Guy; Fragalà, Ilaria

2018-02-01

We present a new duality theory for non-convex variational problems, under possibly mixed Dirichlet and Neumann boundary conditions. The dual problem reads nicely as a linear programming problem, and our main result states that there is no duality gap. Further, we provide necessary and sufficient optimality conditions, and we show that our duality principle can be reformulated as a min-max result which is quite useful for numerical implementations. As an example, we illustrate the application of our method to a celebrated free boundary problem. The results were announced in Bouchitté and Fragalà (C R Math Acad Sci Paris 353(4):375-379, 2015).

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…

Understanding student use of mathematics in IPLS with the Math Epistemic Games Survey

NASA Astrophysics Data System (ADS)

Eichenlaub, Mark; Hemingway, Deborah; Redish, Edward F.

2017-01-01

We present the Math Epistemic Games Survey (MEGS), a new concept inventory on the use of mathematics in introductory physics for the life sciences. The survey asks questions that are often best-answered via techniques commonly-valued in physics instruction, including dimensional analysis, checking special or extreme cases, understanding scaling relationships, interpreting graphical representations, estimation, and mapping symbols onto physical meaning. MEGS questions are often rooted in quantitative biology. We present preliminary data on the validation and administration of the MEGS in a large, introductory physics for the life sciences course at the University of Maryland, as well as preliminary results on the clustering of questions and responses as a guide to student resource activation in problem solving. This material is based upon work supported by the US National Science Foundation under Award No. 15-04366.

Variational data assimilation system "INM RAS - Black Sea"

NASA Astrophysics Data System (ADS)

Parmuzin, Eugene; Agoshkov, Valery; Assovskiy, Maksim; Giniatulin, Sergey; Zakharova, Natalia; Kuimov, Grigory; Fomin, Vladimir

2013-04-01

Development of Informational-Computational Systems (ICS) for Data Assimilation Procedures is one of multidisciplinary problems. To study and solve these problems one needs to apply modern results from different disciplines and recent developments in: mathematical modeling; theory of adjoint equations and optimal control; inverse problems; numerical methods theory; numerical algebra and scientific computing. The problems discussed above are studied in the Institute of Numerical Mathematics of the Russian Academy of Science (INM RAS) in ICS for Personal Computers (PC). Special problems and questions arise while effective ICS versions for PC are being developed. These problems and questions can be solved with applying modern methods of numerical mathematics and by solving "parallelism problem" using OpenMP technology and special linear algebra packages. In this work the results on the ICS development for PC-ICS "INM RAS - Black Sea" are presented. In the work the following problems and questions are discussed: practical problems that can be studied by ICS; parallelism problems and their solutions with applying of OpenMP technology and the linear algebra packages used in ICS "INM - Black Sea"; Interface of ICS. The results of ICS "INM RAS - Black Sea" testing are presented. Efficiency of technologies and methods applied are discussed. The work was supported by RFBR, grants No. 13-01-00753, 13-05-00715 and by The Ministry of education and science of Russian Federation, project 8291, project 11.519.11.1005 References: [1] V.I. Agoshkov, M.V. Assovskii, S.A. Lebedev, Numerical simulation of Black Sea hydrothermodynamics taking into account tide-forming forces. Russ. J. Numer. Anal. Math. Modelling (2012) 27, No.1, 5-31 [2] E.I. Parmuzin, V.I. Agoshkov, Numerical solution of the variational assimilation problem for sea surface temperature in the model of the Black Sea dynamics. Russ. J. Numer. Anal. Math. Modelling (2012) 27, No.1, 69-94 [3] V.B. Zalesny, N.A. Diansky, V.V. Fomin, S.N. Moshonkin, S.G. Demyshev, Numerical model of the circulation of Black Sea and Sea of Azov. Russ. J. Numer. Anal. Math. Modelling (2012) 27, No.1, 95-111 [4] V.I. Agoshkov, S.V. Giniatulin, G.V. Kuimov. OpenMP technology and linear algebra packages in the variation data assimilation systems. - Abstracts of the 1-st China-Russia Conference on Numerical Algebra with Applications in Radiactive Hydrodynamics, Beijing, China, October 16-18, 2012. [5] Zakharova N.B., Agoshkov V.I., Parmuzin E.I., The new method of ARGO buoys system observation data interpolation. Russian Journal of Numerical Analysis and Mathematical Modelling. Vol. 28, Issue 1, 2013.

Online Interactive Teaching Modules Enhance Quantitative Proficiency of Introductory Biology Students

PubMed Central

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

Online interactive teaching modules enhance quantitative proficiency of introductory biology students.

PubMed

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.

Modifying a Research-Based Problem-Solving Intervention to Improve the Problem-Solving Performance of Fifth and Sixth Graders With and Without Learning Disabilities.

PubMed

Krawec, Jennifer; Huang, Jia

The purpose of the present study was to test the efficacy of a modified cognitive strategy instructional intervention originally developed to improve the mathematical problem solving of middle and high school students with learning disabilities (LD). Fifth and sixth grade general education mathematics teachers and their students of varying ability (i.e., average-achieving [AA] students, low-achieving [LA] students, and students with LD) participated in the research study. Several features of the intervention were modified, including (a) explicitness of instruction, (b) emphasis on meta-cognition, (c) focus on problem-solving prerequisites, (d) extended duration of initial intervention, and (e) addition of visual supports. General education math teachers taught all instructional sessions to their inclusive classrooms. Curriculum-based measures (CBMs) of math problem solving were administered five times over the course of the year. A multilevel model (repeated measures nested within students and students nested within schools) was used to analyze student progress on CBMs. Though CBM scores in the intervention group were initially lower than that of the comparison group, intervention students improved significantly more in the first phase, with no differences in the second phase. Implications for instruction are discussed as well as directions for future research.

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…

Dialogue-Based Activities and Manipulatives to Engage Liberal Arts Majors in Mathematics

ERIC Educational Resources Information Center

Price, James C.

2015-01-01

This article presents four inquiry-based learning activities developed for a liberal arts math course. The activities cover four topics: the Pythagorean theorem, interest theory, optimization, and the Monty Hall problem. Each activity consists of a dialogue, with a theme and characters related to the topic, and a manipulative, that allow students…

Effects of a Mathematics Fluency Program on Mathematics Performance of Students with Challenging Behaviors

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…

Using Multiattribute Utility Copulas in Support of UAV Search and Destroy Operations

DTIC Science & Technology

2012-03-01

1, ..., n. (2.3) where ai = a(1 − li) and bi = 1 − ai = ali + b. This implies the same mathe- matical properties of a strictly increasing cumulative...and DTMC defined target movement. Abdelhafiz et al. [6] present several instances of the multi-objective UAV mis- sion planning problem where the

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…

ESPN2 Sports Figures Makes Math and Physics a Ball! 1996-97 Educator's Curriculum.

ERIC Educational Resources Information Center

Rusczyk, Richard; Lehoczky, Sandor

This guide is designed to accompany ESPN's SportsFigures video segments which were created to enhance the interest and learning progress of high school students in mathematics, physics, and physical science. Using actual, re-enacted, or staged events, the problems presented in each of the 16 Sports Figures segments illustrate the relationship…

Lessons Learned from a State-Funded Workplace Literacy Program. Upjohn Institute Staff Working Paper No. 09-146

ERIC Educational Resources Information Center

Hollenbeck, Kevin; Timmeney, Bridget

2009-01-01

Findings from an evaluation of a workplace literacy program funded by the State of Indiana are presented. Working with employers, providers were given considerable latitude to design their own training regimens. The state awarded certificates to workers who achieved certain levels of proficiency in reading, math, critical thinking, problem solving…

PUMAS: Practical Uses of Math And Science

NASA Astrophysics Data System (ADS)

Kahn, R. A.

2009-12-01

For more than ten years, PUMAS has provided a forum for disseminating peer-reviewed examples of Practical Uses of Math And Science, aimed at helping pre-college teachers enrich their presentation of math and science topics. Contributors include scientists, engineers, and content experts from many disciplines. The innovative ideas in PUMAS examples tend to be treasures, containing the ‘sparks’ of understanding that comes only from having real-life experience with the material. Examples can be essays, anecdotes, problems, demonstrations, or activities, and can be written in any style that serves the material well. They are keyed to the National Standards and Benchmarks, which provide the critical connection to K-12 curriculum guidelines, and the peer-review process involves at least one scientist with a relevant background, and at least one teacher at an appropriate grade level. The PUMAS Web Site has recently been upgraded. It is now a NASA-wide facility, recognized by both the National Science Teachers Association (NSTA) and the National Council of Teachers of Mathematics (NCTM). This presentation will describe and illustrate the operation of PUMAS, will highlight a few of our many treasures, and will appeal to scientists interested in contributing meaningfully to pre-college education to consider submitting examples to PUMAS.

Attentional bias in high math-anxious individuals: evidence from an emotional Stroop task

PubMed Central

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

Star Students Make Connections

ERIC Educational Resources Information Center

Marshall, Anne Marie; Superfine, Alison Castro; Canty, Reality S.

2010-01-01

Ms. Beyer's first graders have been working for several weeks on solving problems that encourage the use of such multiple representations as ten frames and number lines. The class is using Math Trailblazers, a National Science Foundation-supported elementary school math curriculum developed to reflect recent reform efforts in mathematics…

Addressing the Math-Practice Gap in Elementary School: Are Tablets a Feasible Tool for Informal Math Practice?

PubMed Central

Stacy, Sara T.; Cartwright, Macey; Arwood, Zjanya; Canfield, James P.; Kloos, Heidi

2017-01-01

Students rarely practice math outside of school requirements, which we refer to as the “math-practice gap”. This gap might be the reason why students struggle with math, making it urgent to develop means by which to address it. In the current paper, we propose that math apps offer a viable solution to the math-practice gap: Online apps can provide access to a large number of problems, tied to immediate feedback, and delivered in an engaging way. To substantiate this conversation, we looked at whether tablets are sufficiently engaging to motivate children’s informal math practice. Our approach was to partner with education agencies via a community-based participatory research design. The three participating education agencies serve elementary-school students from low-SES communities, allowing us to look at tablet use by children who are unlikely to have extensive access to online math enrichment programs. At the same time, the agencies differed in several structural details, including whether our intervention took place during school time, after school, or during the summer. This allowed us to shed light on tablet feasibility under different organizational constraints. Our findings show that tablet-based math practice is engaging for young children, independent of the setting, the student’s age, or the math concept that was tackled. At the same time, we found that student engagement was a function of the presence of caring adults to facilitate their online math practice. PMID:28270780

Addressing the Math-Practice Gap in Elementary School: Are Tablets a Feasible Tool for Informal Math Practice?

PubMed

Stacy, Sara T; Cartwright, Macey; Arwood, Zjanya; Canfield, James P; Kloos, Heidi

2017-01-01

Students rarely practice math outside of school requirements, which we refer to as the "math-practice gap". This gap might be the reason why students struggle with math, making it urgent to develop means by which to address it. In the current paper, we propose that math apps offer a viable solution to the math-practice gap: Online apps can provide access to a large number of problems, tied to immediate feedback, and delivered in an engaging way. To substantiate this conversation, we looked at whether tablets are sufficiently engaging to motivate children's informal math practice. Our approach was to partner with education agencies via a community-based participatory research design. The three participating education agencies serve elementary-school students from low-SES communities, allowing us to look at tablet use by children who are unlikely to have extensive access to online math enrichment programs. At the same time, the agencies differed in several structural details, including whether our intervention took place during school time, after school, or during the summer. This allowed us to shed light on tablet feasibility under different organizational constraints. Our findings show that tablet-based math practice is engaging for young children, independent of the setting, the student's age, or the math concept that was tackled. At the same time, we found that student engagement was a function of the presence of caring adults to facilitate their online math practice.

Computer Courseware Evaluations, June 1985 to March 1986.

ERIC Educational Resources Information Center

Alberta Dept. of Education, Edmonton. Curriculum Branch.

The fifth in a series, this report reviews Apple microcomputer courseware--and some IBM computer courseware--authorized by Alberta Education from June 1985 to March 1986. It provides detailed evaluations of 97 authorized programs in business education (11), business education/math (1), computer literacy (4), computer literacy/math/problem solving…

Can't Do Maths--Understanding Students' Maths Anxiety

ERIC Educational Resources Information Center

Metje, N.; Frank, H. L.; Croft, P.

2007-01-01

The number of students continuing with their mathematics education post GCSE level has declined in recent years and hence students entering Engineering degrees are reducing. The University of Birmingham recognized this problem and introduced the Suite of Technology programme (STP) which no longer requires students to have A-level mathematics.…

Math Problem

ERIC Educational Resources Information Center

Oguntoyinbo, Lekan

2012-01-01

Many experts give the nation's schools a poor grade for their approach to teaching mathematics and for their preparation of mathematics teachers. While many policymakers make much of data that suggest children in the United States lag behind many other advanced countries in math, many experts call for a change in mathematics education,…

Penguin Math

ERIC Educational Resources Information Center

Green, Daniel; Kearney, Thomas

2015-01-01

Emperor penguins, the largest of all the penguin species, attain heights of nearly four feet and weigh up to 99 pounds. Many students are not motivated to learn mathematics when textbook examples contain largely nonexistent contexts or when the math is not used to solve significant problems found in real life. This article's project explores how…

Tic Tac Toe Math. Train the Trainer.

ERIC Educational Resources Information Center

Center for Alternative Learning, Bryn Mawr, PA.

This report describes a project that developed a "Train the Trainer" program that would enable individuals to learn and teach the alternative instructional technique, Tic Tac Toe Math, developed by Richard Cooper for adult basic education students. The pilot workshop conducted as part of the project identified problems that traditional…

A Model for Math Modeling

ERIC Educational Resources Information Center

Lin, Tony; Erfan, Sasan

2016-01-01

Mathematical modeling is an open-ended research subject where no definite answers exist for any problem. Math modeling enables thinking outside the box to connect different fields of studies together including statistics, algebra, calculus, matrices, programming and scientific writing. As an integral part of society, it is the foundation for many…

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)

Self-Regulated Math Instructions for Pupils with Learning Disabilities

ERIC Educational Resources Information Center

Bishara, Saied

2016-01-01

In this research, we considered the different impact two methods of teaching had on pupils' ability to solve complex math problems. The methods considered were: self-regulated study and traditional teaching. We also examined the pedagogical consequences the differences made among the population of pupils with learning disabilities in special…

Using High-Probability Instructional Sequences and Explicit Instruction to Teach Multiplication Facts

ERIC Educational Resources Information Center

Leach, Debra

2016-01-01

Students with learning disabilities often struggle with math fact fluency and require specialized interventions to recall basic facts. Deficits in math fact fluency can result in later difficulties when learning higher-level mathematical computation, concepts, and problem solving. The response-to-intervention (RTI) and…

Guided Investigations in Middle School Math

ERIC Educational Resources Information Center

Schroth, Stephen T.; Helfer, Jason A.

2008-01-01

Gifted middle school mathematics students often exhibit boundless energy, a desire to exert some degree of control over their learning, and an ability to think logically and abstractly in ways that astound their parents and teachers. Middle school math curriculum that combines guided investigations of real-life problems with product-based…

Longitudinal Mediators of Achievement in Mathematics and Reading in Typical and Atypical Development

PubMed Central

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

Math anxiety: Brain cortical network changes in anticipation of doing mathematics.

PubMed

Klados, Manousos A; Pandria, Niki; Micheloyannis, Sifis; Margulies, Daniel; Bamidis, Panagiotis D

2017-12-01

Following our previous work regarding the involvement of math anxiety (MA) in math-oriented tasks, this study tries to explore the differences in the cerebral networks' topology between self-reported low math-anxious (LMA) and high math-anxious (HMA) individuals, during the anticipation phase prior to a mathematical related experiment. For this reason, multichannel EEG recordings were adopted, while the solution of the inverse problem was applied in a generic head model, in order to obtain the cortical signals. The cortical networks have been computed for each band separately, using the magnitude square coherence metric. The main graph theoretical parameters, showed differences in segregation and integration in almost all EEG bands of the HMAs in comparison to LMAs, indicative of a great influence of the anticipatory anxiety prior to mathematical performance. Copyright © 2017 Elsevier B.V. All rights reserved.

Supporting English Language Learners in Math Class, Grades 6-8

ERIC Educational Resources Information Center

Melanese, Kathy; Chung, Luz; Forbes, Cheryl

2011-01-01

This new addition to Math Solutions "Supporting English Language Learners in Math Class series" offers a wealth of lessons and strategies for modifying grades 6-8 instruction. Section I presents an overview of teaching math to English learners: the research, the challenges, the linguistic demands of a math lesson, and specific strategies and…

Education for International Development: Problems for Planned Change. A Presentation in the College of Education Dialogue Series, New Mexico State University.

ERIC Educational Resources Information Center

Bergsma, Harold M.

Colonial educational development viewed education as: 1) means of training an elite to maintain the imported political/economical system; 2) a vehicle for creating individuals thoroughly conversant with alien values; 3) a commodity for the few of intellectual capability; 4) a broad based entity predicated upon literature, science, math, and…

The Math You Need, When You Need It: Student-Centered Web Resources Designed to Decrease Math Review and Increase Quantitative Geology in the Classroom

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?

A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials

NASA Astrophysics Data System (ADS)

Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.

2001-08-01

A few years ago the authors introduced a new approach to study asymptotic questions for orthogonal polynomials. In this paper we give an overview of our method and review the results which have been obtained in Deift et al. (Internat. Math. Res. Notices (1997) 759, Comm. Pure Appl. Math. 52 (1999) 1491, 1335), Deift (Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Courant Lecture Notes, Vol. 3, New York University, 1999), Kriecherbauer and McLaughlin (Internat. Math. Res. Notices (1999) 299) and Baik et al. (J. Amer. Math. Soc. 12 (1999) 1119). We mainly consider orthogonal polynomials with respect to weights on the real line which are either (1) Freud-type weights d[alpha](x)=e-Q(x) dx (Q polynomial or Q(x)=x[beta], [beta]>0), or (2) varying weights d[alpha]n(x)=e-nV(x) dx (V analytic, limx-->[infinity] V(x)/logx=[infinity]). We obtain Plancherel-Rotach-type asymptotics in the entire complex plane as well as asymptotic formulae with error estimates for the leading coefficients, for the recurrence coefficients, and for the zeros of the orthogonal polynomials. Our proof starts from an observation of Fokas et al. (Comm. Math. Phys. 142 (1991) 313) that the orthogonal polynomials can be determined as solutions of certain matrix valued Riemann-Hilbert problems. We analyze the Riemann-Hilbert problems by a steepest descent type method introduced by Deift and Zhou (Ann. Math. 137 (1993) 295) and further developed in Deift and Zhou (Comm. Pure Appl. Math. 48 (1995) 277) and Deift et al. (Proc. Nat. Acad. Sci. USA 95 (1998) 450). A crucial step in our analysis is the use of the well-known equilibrium measure which describes the asymptotic distribution of the zeros of the orthogonal polynomials.

Math remediation intervention for student success in the algebra-based introductory physics course

NASA Astrophysics Data System (ADS)

Forrest, Rebecca L.; Stokes, Donna W.; Burridge, Andrea B.; Voight, Carol D.

2017-12-01

Pretesting and early intervention measures to identify and remediate at-risk students were implemented in algebra-based introductory physics to help improve student success rates. Pretesting via a math and problem-solving diagnostic exam administered at the beginning of the course was employed to identify at-risk students based on their scores. At-risk students were encouraged to utilize an online math tutorial to increase their chances of passing the course. The tutorial covers the same math topics covered by the diagnostic exam. Results from 643 students enrolled in the course showed that the 61 at-risk students who successfully completed the math tutorial increased their odds of passing the course by roughly 4 times those of the at-risk students who did not. This intervention is easily implemented, short term, and can be administered concurrently with the course. Based on these results, the Department of Physics has implemented the math tutorials in all sections of the introductory algebra as well as the calculus-based physics courses.

Hamster Math: Authentic Experiences in Data Collection.

ERIC Educational Resources Information Center

Jorgensen, Beth

1996-01-01

Describes the data collection and interpretation project of primary grade students involving predicting, graphing, estimating, measuring, number problem construction, problem solving, and probability. (MKR)

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…

Does Spatial Training Improve Children's Mathematics Ability?

ERIC Educational Resources Information Center

Cheng, Yi-Ling; Mix, Kelly

2011-01-01

The authors' primary aim was to investigate a potential causal relationship between spatial ability and math ability. To do so, they used a pretest-training-posttest experimental design in which children received short-term spatial training and were tested on problem solving in math. They focused on first and second graders because earlier studies…

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…

Strengthening Higher Education: Simplify Student Aid & Emphasize Vital Science, Math, and Language Skills

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…

Teaching Inquiry with Linked Classes and Learning Communities

ERIC Educational Resources Information Center

Piercey, Victor; Cullen, Roxanne

2017-01-01

In order to improve problem-solving dispositions, a section of an inquiry-based math sequence for first-year business students was linked with a section of our general education English sequence. We describe how the linked classes worked and compare some preliminary results from linked and unlinked sections of the math sequence.

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…

Matching Extension and the Genus of a Graph,

DTIC Science & Technology

1986-04-01

genus and the cardinality of the maximum matchings of a graph, Discrete Math . 25, 1979, 149-156. oQORE 1967. The Four-Color Problem, Academic Press...Press, New York, 1969, 287-293. M D PLUMMER 1980. On n-extendable graphs, Discrete Math . 31, 1980, 201-210. 1985. A theorem on matchings in the plane

Designing Tasks for Math Modeling in College Algebra: A Critical Review

ERIC Educational Resources Information Center

Staats, Susan; Robertson, Douglas

2014-01-01

Over the last decade, the pedagogical approach known as mathematical modeling has received increased interest in college algebra classes in the United States. Math modeling assignments ask students to develop their own problem-solving tools to address non-routine, realistic scenarios. The open-ended quality of modeling activities creates dilemmas…

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…

Recruitment to Physics and Mathematics Teaching: A Personality Problem?

ERIC Educational Resources Information Center

Smithers, Alan; Hill, Susan

1989-01-01

Results of a British study indicate that, among potential applicants (N=177), a small demand exists for a proposed science education degree program. Findings suggest that recruitment of science and math teachers may be hampered because the satisfactions provided by teaching are unlike those sought by science and math specialists. (IAH)

Finding a Good Fit: Using MCC in a "Third Space"

ERIC Educational Resources Information Center

Webster, Joan Parker; Wiles, Peter; Civil, Marta; Clark, Stacy

2005-01-01

Math in a Cultural Context (MCC) is based in traditional Yup'ik cultural values and ways of knowing and representing the world, which provide access to math concepts through hands-on exploration and active problem solving. This case illustrates how a novice and outsider teacher successfully implemented MCC in a classroom with predominantly…

Talking about Math

ERIC Educational Resources Information Center

Hintz, Allison; Kazemi, Elham

2014-01-01

By simply asking students how they got the answer to a problem, math teachers can open the door to stimulating discussions in class. But how can they make sure those discussions promote mathematical understanding? Allison Hintz and Elham Kazemi explain that teachers need to know what the goal is for a discussion and plan accordingly. The authors…

The Community College Student: Preparation for the Math Placement Test

ERIC Educational Resources Information Center

Dudley, Jennifer

2010-01-01

The purpose of this action research case study was to explore attitudes and beliefs regarding strategies to improve math placement scores for low-socioeconomic community college students at an urban campus. Using a pragmatic worldview, qualitative techniques were used to gather data to explore this problem at a single community college located in…

A Comparison of Behavioral and Constructivist Interventions for Increasing Math-Fact Fluency in a Second-Grade Classroom

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…

Assessing Quantitative Learning With The Math You Need When You Need It

NASA Astrophysics Data System (ADS)

Wenner, J. M.; Baer, E. M.; Burn, H.

2008-12-01

We present new data from a pilot project using the The Math You Need, When You Need It (TMYN) web resources in conjunction with several introductory geoscience courses. TMYN is a series of NSF-supported, NAGT-sponsored, web-based modular resources designed to help students learn (or relearn) mathematical skills essential for success in introductory geoscience courses. TMYN presents mathematical topics that are relevant to introductory geoscience based on a survey of more than 75 geoscience faculty members. To date, modules include unit conversions, many aspects of graphing, density calculations, rearranging equations and other simple mathematical concepts commonly used in the geosciences. The modular nature of the resources make it simple to select the units that are appropriate for a given course. In the fall of 2008, nine TMYN modules were tested in three courses taught at Highline Community College (Geology 101) and University of Wisconsin Oshkosh (Physical and Environmental Geology). Over 300 students participated in the study by taking pre- and post-tests and completing modules relevant to their course. Feedback about the use of these modules has been mixed. Initial results confirm anecdotal evidence that students initially have difficulty applying mathematical concepts to geologic problems. Furthermore, pre- test results indicate that, although instructors assume that students can perform simple mathematical manipulations, many students arrive in courses without the skills to apply mathematical concepts in problem solving situations. TMYN resources effectively provide support for learning quantitative problem solving and a mechanism for students to engage in self-teaching. Although we have seen mixed results due to a range of instructor engagement with the material, TMYN can have significant effect on students who are math phobic or "can't do math" because they can work at their own pace to overcome affective obstacles such as fear and dislike of mathematics. TMYN is most effective when instructors make explicit connections between material in the modules and course content. Instructors who participated in the study in Fall 2008 reacted positively to the use of TMYN in introductory geoscience courses because the resources require minimal class and prep time. Furthermore, when instructors can hold students responsible for the quantitative concepts covered with TMYN, they feel more comfortable including quantitative information without significant loss of geologic content.

Opportunities for Learning Math in Elementary School: Implications for SES Disparities in Procedural and Conceptual Math Skills

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…

Exploring the relationship between math anxiety and gender through implicit measurement

PubMed Central

Rubinsten, Orly; Bialik, Noam; Solar, Yael

2012-01-01

Math anxiety, defined as a negative affective response to mathematics, is suggested as a strong antecedent for the low visibility of women in the science and engineering workforce. However, the assumption of gender differences in math anxiety is still being studied and results are inconclusive, probably due to the use of explicit measures such as direct questionnaires. Thus, our primary objective was to investigate the effects of math anxiety on numerical processing in males and females by using a novel affective priming task as an indirect measure. Specifically, university students (23 males and 30 females) completed a priming task in which an arithmetic equation was preceded by one of four types of priming words (positive, neutral, negative, or related to mathematics). Participants were required to indicate whether the equation (simple math facts based on addition, subtraction, multiplication, or division) was true or false. People are typically found to respond to target stimuli more rapidly after presentation of an affectively related prime than after an affectively unrelated one. In the current study, shorter response latencies for positive as compared to negative affective primes were found in the male group. An affective priming effect was found in the female group as well, but with a reversed pattern. That is, significantly shorter response latencies were observed in the female group for negative as compared to positive targets. That is, for females, negative affective primes act as affectively related to simple arithmetic problems. In contrast, males associated positive affect with simple arithmetic. In addition, only females with lower or insignificant negative affect toward arithmetic study at faculties of mathematics and science. We discuss the advantages of examining pure anxiety factors with implicit measures which are free of response factors. In addition it is suggested that environmental factors may enhance the association between math achievements and math anxiety in females. PMID:23087633

Exploring the relationship between math anxiety and gender through implicit measurement.

PubMed

Rubinsten, Orly; Bialik, Noam; Solar, Yael

2012-01-01

Math anxiety, defined as a negative affective response to mathematics, is suggested as a strong antecedent for the low visibility of women in the science and engineering workforce. However, the assumption of gender differences in math anxiety is still being studied and results are inconclusive, probably due to the use of explicit measures such as direct questionnaires. Thus, our primary objective was to investigate the effects of math anxiety on numerical processing in males and females by using a novel affective priming task as an indirect measure. Specifically, university students (23 males and 30 females) completed a priming task in which an arithmetic equation was preceded by one of four types of priming words (positive, neutral, negative, or related to mathematics). Participants were required to indicate whether the equation (simple math facts based on addition, subtraction, multiplication, or division) was true or false. People are typically found to respond to target stimuli more rapidly after presentation of an affectively related prime than after an affectively unrelated one. In the current study, shorter response latencies for positive as compared to negative affective primes were found in the male group. An affective priming effect was found in the female group as well, but with a reversed pattern. That is, significantly shorter response latencies were observed in the female group for negative as compared to positive targets. That is, for females, negative affective primes act as affectively related to simple arithmetic problems. In contrast, males associated positive affect with simple arithmetic. In addition, only females with lower or insignificant negative affect toward arithmetic study at faculties of mathematics and science. We discuss the advantages of examining pure anxiety factors with implicit measures which are free of response factors. In addition it is suggested that environmental factors may enhance the association between math achievements and math anxiety in females.

Geometry of PDE's. IV

NASA Astrophysics Data System (ADS)

Prástaro, Agostino

2008-02-01

Following our previous results on this subject [R.P. Agarwal, A. Prástaro, Geometry of PDE's. III(I): Webs on PDE's and integral bordism groups. The general theory, Adv. Math. Sci. Appl. 17 (2007) 239-266; R.P. Agarwal, A. Prástaro, Geometry of PDE's. III(II): Webs on PDE's and integral bordism groups. Applications to Riemannian geometry PDE's, Adv. Math. Sci. Appl. 17 (2007) 267-285; A. Prástaro, Geometry of PDE's and Mechanics, World Scientific, Singapore, 1996; A. Prástaro, Quantum and integral (co)bordism in partial differential equations, Acta Appl. Math. (5) (3) (1998) 243-302; A. Prástaro, (Co)bordism groups in PDE's, Acta Appl. Math. 59 (2) (1999) 111-201; A. Prástaro, Quantized Partial Differential Equations, World Scientific Publishing Co, Singapore, 2004, 500 pp.; A. Prástaro, Geometry of PDE's. I: Integral bordism groups in PDE's, J. Math. Anal. Appl. 319 (2006) 547-566; A. Prástaro, Geometry of PDE's. II: Variational PDE's and integral bordism groups, J. Math. Anal. Appl. 321 (2006) 930-948; A. Prástaro, Th.M. Rassias, Ulam stability in geometry of PDE's, Nonlinear Funct. Anal. Appl. 8 (2) (2003) 259-278; I. Stakgold, Boundary Value Problems of Mathematical Physics, I, The MacMillan Company, New York, 1967; I. Stakgold, Boundary Value Problems of Mathematical Physics, II, Collier-MacMillan, Canada, Ltd, Toronto, Ontario, 1968], integral bordism groups of the Navier-Stokes equation are calculated for smooth, singular and weak solutions, respectively. Then a characterization of global solutions is made on this ground. Enough conditions to assure existence of global smooth solutions are given and related to nullity of integral characteristic numbers of the boundaries. Stability of global solutions are related to some characteristic numbers of the space-like Cauchy dataE Global solutions of variational problems constrained by (NS) are classified by means of suitable integral bordism groups too.

Making a Math Teaching Aids of Junior High School Based on Scientific Approach Through an Integrated and Sustainable Training

NASA Astrophysics Data System (ADS)

Pujiastuti, E.; Mashuri

2017-04-01

Not all of teachers of Mathematics in Junior High School (JHS) can design and create teaching aids. Moreover, if teaching aids should be designed so that it can be used in learning through scientific approaches. The problem: How to conduct an integrated and sustainable training that the math teacher of JHS, especially in Semarang can design and create teaching aids that can be presented to the scientific approach? The purpose of this study to find a way of integrated and continuous training so that the math teacher of JHS can design and create teaching aids that can be presented to the scientific approach. This article was based on research with a qualitative approach. Through trials activities of resulting of training model, Focus Group Discussions (FGD), interviews, and triangulation of the results of the research were: (1) Produced a training model of integrated and sustainable that the mathematics teacher of JHS can design and create teaching aids that can be presented to the scientific approach. (2) In training, there was the provision of material and workshop (3) There was a mentoring in the classroom. (4) Sustainability of the consultation. Our advice: (1) the trainer should be clever, (2) the training can be held at the holidays, while the assistance during the holiday season was over.

Word Problem Solving in Contemporary Math Education: A Plea for Reading Comprehension Skills Training

PubMed Central

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

Word Problem Solving in Contemporary Math Education: A Plea for Reading Comprehension Skills Training.

PubMed

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.

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

Math anxiety differentially affects WAIS-IV arithmetic performance in undergraduates.

PubMed

Buelow, Melissa T; Frakey, Laura L

2013-06-01

Previous research has shown that math anxiety can influence the math performance level; however, to date, it is unknown whether math anxiety influences performance on working memory tasks during neuropsychological evaluation. In the present study, 172 undergraduate students completed measures of math achievement (the Math Computation subtest from the Wide Range Achievement Test-IV), math anxiety (the Math Anxiety Rating Scale-Revised), general test anxiety (from the Adult Manifest Anxiety Scale-College version), and the three Working Memory Index tasks from the Wechsler Adult Intelligence Scale-IV Edition (WAIS-IV; Digit Span [DS], Arithmetic, Letter-Number Sequencing [LNS]). Results indicated that math anxiety predicted performance on Arithmetic, but not DS or LNS, above and beyond the effects of gender, general test anxiety, and math performance level. Our findings suggest that math anxiety can negatively influence WAIS-IV working memory subtest scores. Implications for clinical practice include the utilization of LNS in individuals expressing high math anxiety.

Web Sitings.

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…

Moderating effects of executive functions and the teacher-child relationship on the development of mathematics ability in kindergarten.

PubMed

Blair, Clancy; McKinnon, Rachel D

2016-02-01

Academic preparedness, executive function abilities, and positive relationships with teachers have each been shown to be uniquely important for school readiness and success in the early elementary grades. Few studies, however, have examined the joint influence of these readiness variables on early school outcomes. Using data from a prospective longitudinal sample of 1292 children and families in predominantly low-income and rural communities, we found that executive function at child age 48 months and a higher quality relationship with the kindergarten teacher each uniquely moderated the effect of math ability in preschool on math ability at the end of kindergarten. This effect was seen for math ability as measured by the Early Childhood Longitudinal Study-Kindergarten (ECLS-K) mathematics assessment battery but not the Woodcock-Johnson III Tests of Achievement Applied Problems subtest. For children with lower math ability in preschool as assessed by the ECLS-K Math battery, higher executive function abilities and a more positive relationship with the kindergarten teacher were each associated with a higher than expected level of math ability in kindergarten. Conversely, lowest levels of math ability in kindergarten were observed among children with low math ability in preschool and poor executive function or a less positive relationship with the kindergarten teacher.

Psychostimulant and sensory stimulation interventions that target the reading and math deficits of students with ADHD.

PubMed

Zentall, Sydney S; Tom-Wright, Kinsey; Lee, Jiyeon

2013-05-01

The purpose of this review of students with attention deficit hyperactivity disorder (ADHD) was to summarize the following: (1) academic deficits in math and reading, (2) possible theoretical contributors to these deficits, and (3) psychostimulant interventions that target math and reading, as well as, parallel interventions involving sensory stimulation. A comprehensive examination of the literature was conducted on children with ADHD with and without co-occurring disabilities, summarizing their reading and math achievement and the effects of psychostimulant and sensory stimulant interventions on these academic areas. Students without co-occurring disabilities (ADHD-) had fewer deficits in reading than in math and than students with co-occurring disabilities (ADHD+). Furthermore, students with ADHD+ demonstrated greater responsiveness to psychostimulants through improved reading recognition and math calculations, with limited gains in literal reading comprehension. Added sensory stimulation produced differential gains for both groups in reading recognition and comprehension and in math calculations and problem solving. The efficacy of psychostimulants was documented on specific areas of achievement for the ADHD+ group, but this review did not support the administration of psychostimulants for students with ADHD-. For both groups of students, differential gains, losses, and habituation were documented in response to sensory stimulation for both subareas within reading and math, which were interpreted as support for the optimal stimulation theory.

Moderating effects of executive functions and the teacher–child relationship on the development of mathematics ability in kindergarten

PubMed Central

Blair, Clancy; McKinnon, Rachel D.

2017-01-01

Academic preparedness, executive function abilities, and positive relationships with teachers have each been shown to be uniquely important for school readiness and success in the early elementary grades. Few studies, however, have examined the joint influence of these readiness variables on early school outcomes. Using data from a prospective longitudinal sample of 1292 children and families in predominantly low-income and rural communities, we found that executive function at child age 48 months and a higher quality relationship with the kindergarten teacher each uniquely moderated the effect of math ability in preschool on math ability at the end of kindergarten. This effect was seen for math ability as measured by the Early Childhood Longitudinal Study-Kindergarten (ECLS-K) mathematics assessment battery but not the Woodcock-Johnson III Tests of Achievement Applied Problems subtest. For children with lower math ability in preschool as assessed by the ECLS-K Math battery, higher executive function abilities and a more positive relationship with the kindergarten teacher were each associated with a higher than expected level of math ability in kindergarten. Conversely, lowest levels of math ability in kindergarten were observed among children with low math ability in preschool and poor executive function or a less positive relationship with the kindergarten teacher. PMID:28154471

Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations

NASA Astrophysics Data System (ADS)

O'Malley, Robert E., Jr.; Williams, David B.

2006-06-01

Results by physicists on renormalization group techniques have recently sparked interest in the singular perturbations community of applied mathematicians. The survey paper, [Phys. Rev. E 54(1) (1996) 376-394], by Chen et al. demonstrated that many problems which applied mathematicians solve using disparate methods can be solved using a single approach. Analysis of that renormalization group method by Mudavanhu and O'Malley [Stud. Appl. Math. 107(1) (2001) 63-79; SIAM J. Appl. Math. 63(2) (2002) 373-397], among others, indicates that the technique can be streamlined. This paper carries that analysis several steps further to present an amplitude equation technique which is both well adapted for use with a computer algebra system and easy to relate to the classical methods of averaging and multiple scales.

Three brief assessments of math achievement.

PubMed

Steiner, Eric T; Ashcraft, Mark H

2012-12-01

Because of wide disparities in college students' math knowledge-that is, their math achievement-studies of cognitive processing in math tasks also need to assess their individual level of math achievement. For many research settings, however, using existing math achievement tests is either too costly or too time consuming. To solve this dilemma, we present three brief tests of math achievement here, two drawn from the Wide Range Achievement Test and one composed of noncopyrighted items. All three correlated substantially with the full achievement test and with math anxiety, our original focus, and all show acceptable to excellent reliability. When lengthy testing is not feasible, one of these brief tests can be substituted.

Summertime Math.

ERIC Educational Resources Information Center

Broderick, Kathy

1998-01-01

These new paperbacks and recent paperback reprints present simple and complex math concepts as engaging, challenging puzzles and can make math fun for children from preschool through primary grades. (Author/AEF)

Science and Math through Role-Play Centers in the Elementary School Classroom.

ERIC Educational Resources Information Center

Jarrett, Olga S.

1997-01-01

Describes role-play centers in which children can do math problems, invent, experiment, write with a purpose, and act out adult career roles. Examples of centers include a doctor's office, a supermarket, a fix-it or inventor's workshop, a post office, a pet store, a zoo, a veterinary clinic, a museum, and a restaurant. (DKM)

Influence of a Mathematics Teachers' Circle on Elementary Teachers' Use of Problem Solving

ERIC Educational Resources Information Center

Garner, Mary L.; Watson, Virginia; Rogers, Beth; Head, Catherine

2017-01-01

Math teachers' circles are a form of professional development that is recommended by the Conference Board of the Mathematical Sciences in their publication Mathematical Education of Teachers II (2012). However, little research has been published on how effective math teachers' circles are in advancing the mathematical knowledge of teachers and…

Mathematics Instruction and Behavior Problems: Making the Connection

ERIC Educational Resources Information Center

Mancil, G. Richmond; Maynard, Katrina L.

2007-01-01

According to the National Center for Education Statistics' latest data on cross-national differences in math, science, and reading literacy among fourth- and eighth-graders and 15-year-olds, U.S. students rank close to the bottom in math. Just teaching more advanced subjects and forcing students to take more classes and do more homework, however,…

Framework and Implementation for Improving Physics Essential Skills via Computer-Based Practice: Vector Math

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…

Problems in the Pipeline: Stereotype Threat and Women's Achievement in High-Level Math Courses

ERIC Educational Resources Information Center

Good, Catherine; Aronson, Joshua; Harder, Jayne Ann

2008-01-01

It is well established that negative stereotypes can undermine women's performance on mathematics tests. Despite considerable laboratory evidence for the role of "stereotype threat" in girls' and women's math test performance, the relevance of such findings for the "real world" gender test-score gap remains unclear and debates about causes focus…

Merging Cognitive Science and Curriculum to Strengthen Middle School Math

ERIC Educational Resources Information Center

WestEd, 2014

2014-01-01

Consider that colorful photographs, eye-catching illustrations, and captivating images intended to make textbooks more appealing may actually distract students from the lesson at hand. Or that asking students to simply solve math problems might not be as effective as having them explain the steps of solutions that are already worked out--even some…

Learning Geography Promotes Learning Math: Results and Implications of Arizona's GeoMath Grade K-8 Program

ERIC Educational Resources Information Center

Dorn, Ronald I.; Douglass, John; Ekiss, Gale Olp; Trapido-Lurie, Barbara; Comeauz, Malcolm; Mings, Robert; Eden, Rebecca; Davis, Cathy; Hinde, Elizabeth; Ramakrishna, B.

2005-01-01

The "No Child Left Behind" (NCLB) legislation has resulted in declining classroom time dedicated to geography instruction, especially in grades K-8. To combat this problem, a National Geographic Society Grosvenor grant provided resources allowing 28 teacher-authors to generate a package of more than 80 lessons that combine the teaching…

Reading First: Impact on Third Grade Student Performance in Reading, Math, Science Before, During, and after Implementation

ERIC Educational Resources Information Center

Allen, Vikki Renee

2012-01-01

Critical issues are confronting educators regarding increasing student achievement levels in reading, math and science in United States' public schools. Educators and legislators are attempting to make radical changes in instructional methodology and to find viable and sustainable solutions to problems associated with poor student achievement.…

Longitudinal mediators of achievement in mathematics and reading in typical and atypical development.

PubMed

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.

Math and Science Are America's Future. National Math and Science Initiative Annual Report, 2008

ERIC Educational Resources Information Center

National Math and Science Initiative, 2008

2008-01-01

This paper presents the annual report of the National Math and Science Initiative (NMSI) for 2008. Eighteen months ago, the National Math and Science Initiative did not exist. Today NMSI is helping lead the country forward in math and science. In just 18 months, NMSI has rolled out the first round of grants and has implemented programs in 14…

Group Activities for Math Enthusiasts

ERIC Educational Resources Information Center

Holdener, J.; Milnikel, R.

2016-01-01

In this article we present three group activities designed for math students: a balloon-twisting workshop, a group proof of the irrationality of p, and a game of Math Bingo. These activities have been particularly successful in building enthusiasm for mathematics and camaraderie among math faculty and students at Kenyon College.

Gender Compatibility, Math-Gender Stereotypes, and Self-Concepts in Math and Physics

ERIC Educational Resources Information Center

Koul, Ravinder; Lerdpornkulrat, Thanita; Poondej, Chanut

2016-01-01

Positive self-assessment of ability in the quantitative domains is considered critical for student participation in science, technology, engineering, and mathematics field studies. The present study investigated associations of gender compatibility (gender typicality and contentedness) and math-gender stereotypes with self-concepts in math and…

[The application of new technologies to solving maths problems for students with learning disabilities: the 'underwater school'].

PubMed

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).

Math and Humane Education.

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)

Solving Math Problems Approximately: A Developmental Perspective

PubMed Central

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

The Role of Parental Math Anxiety and Math Attitude in Their Children's Math Achievement

ERIC Educational Resources Information Center

Soni, Akanksha; Kumari, Santha

2017-01-01

The present study investigated the antecedents and consequences of children's math anxiety and math attitude. A total of 595 students aged 10 to 15 years (5th to 10th grades) and 1 parent of each (mother or father) participated in the study. The study was conducted in India, with the study sample drawn from schools in South-West Punjab. Math…

Mathematics anxiety in children with developmental dyscalculia.

PubMed

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.

Gesture Recognition for Educational Games: Magic Touch Math

NASA Astrophysics Data System (ADS)

Kye, Neo Wen; Mustapha, Aida; Azah Samsudin, Noor

2017-08-01

Children nowadays are having problem learning and understanding basic mathematical operations because they are not interested in studying or learning mathematics. This project proposes an educational game called Magic Touch Math that focuses on basic mathematical operations targeted to children between the age of three to five years old using gesture recognition to interact with the game. Magic Touch Math was developed in accordance to the Game Development Life Cycle (GDLC) methodology. The prototype developed has helped children to learn basic mathematical operations via intuitive gestures. It is hoped that the application is able to get the children motivated and interested in mathematics.

Remediation of Childhood Math Anxiety and Associated Neural Circuits through Cognitive Tutoring

PubMed Central

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

Visual Attention and Math Performance in Survivors of Childhood Acute Lymphoblastic Leukemia.

PubMed

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.

Changes in frontal-parietal activation and math skills performance following adaptive number sense training: Preliminary results from a pilot study

PubMed Central

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

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…

Teaching Money Computation Skills to High School Students with Mild Intellectual Disabilities via the TouchMath[C] Program: A Multi-Sensory Approach

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…

Learning Math at Home. Making the Parent Connection! Leader Guide.

ERIC Educational Resources Information Center

Moke, Susan, Ed.; Shermis, Michael, Ed.

This manual is a resource book for organizers and leaders and parent groups who want to explore specific strategies to use to encourage children to view math as a "user-friendly" subject. The guide contains material necessary to conduct a 1- or 1.5-hour session to help parents see the importance of: showing their children how problem-solving math…

Demystify Math, Science, and Technology: Creativity, Innovation, and Problem-Solving

ERIC Educational Resources Information Center

Adams, Dennis; Hamm, Mary

2010-01-01

Technology is viewed as a powerful force both in and out of school and has long been linked with math and science. Although concepts and activities of this book apply to any grade, the primary focus is on the elementary and middle school levels. This book provides principles and practical strategies for promoting creative and innovative work in…

Take the S.M.I.L.E. Challenge: Indoor Air Quality and Your High School.

ERIC Educational Resources Information Center

Deira, Maria-Isabel; Bloomfield, Molly

1998-01-01

The S.M.I.L.E. (Science and Math Investigative Learning Experiences) Program is a partnership between Oregon State University and eight rural Oregon school districts to provide science and math opportunities for disadvantaged students. Students in this program work on a problem that involves them in a real-world environmental issue. Describes an…

A Summative Evaluation of a Middle School Summer Math Program

ERIC Educational Resources Information Center

Nelson, Brian W.

2014-01-01

By some estimates, students lose an average of 2.6 months of learning during summer break, roughly one quarter of the time spent in school. To combat this problem, the school under study implemented a summer math program that was thematically linked to the Boston Red Sox baseball team. Hundreds of students have participated in the program, but the…

The Use of a Mathematics Professional Learning Community Uniting Math 1 and Math Support Teachers

ERIC Educational Resources Information Center

Shirley, George R., Jr.

2010-01-01

In an effort to improve its mathematics education, the state of Georgia instituted a performance-based curriculum in the high schools during the 2008 school year. With the implementation of this new curriculum, teachers needed resources and the opportunity to collaborate regularly. The problem this project-based study addressed was how to refine a…

A Calculating Web Site Could Ignite a New Campus "Math War"

ERIC Educational Resources Information Center

Young, Jeffrey R.

2009-01-01

The long-running debate over whether students should be allowed to wield calculators during mathematics exams may soon seem quaint. The latest dilemma facing professors is whether to let students turn to a Web site called WolframAlpha, which not only solves complex math problems, but also can spell out the steps leading to those solutions. In…

Teaching Early Mathematics with PLATO[R] Software: An Overview of the New PLATO Elementary Mathematics Curricula and How To Use Them. Technical Paper.

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…

Collaborative Workshops and Student Academic Performance in Introductory College Mathematics Courses: A Study of a Treisman Model Math Excel Program.

ERIC Educational Resources Information Center

Duncan, Hollis; Dick, Thomas

2000-01-01

Describes the Treisman model which involves supplemental workshops in which college students solve problems in collaborative learning groups. Reports on the effectiveness of Math Excel, an implementation of the Treisman model for introductory mathematics courses at Oregon State University over five academic terms. Reveals a significant effect on…

Slow off the Mark: Elementary School Teachers and the Crisis in Science, Technology, Engineering, and Math Education

ERIC Educational Resources Information Center

Epstein, Diana; Miller, Raegen T.

2011-01-01

One can't throw a stone without hitting a STEM initiative these days, but most science, technology, engineering, and math initiatives--thus the STEM acronym--overlook a fundamental problem. In general, the workforce pipeline of elementary school teachers fails to ensure that the teachers who inform children's early academic trajectories have the…

It Pays to Be Organized: Organizing Arithmetic Practice around Equivalent Values Facilitates Understanding of Math Equivalence

ERIC Educational Resources Information Center

McNeil, Nicole M.; Chesney, Dana L.; Matthews, Percival G.; Fyfe, Emily R.; Petersen, Lori A.; Dunwiddie, April E.; Wheeler, Mary C.

2012-01-01

This experiment tested the hypothesis that organizing arithmetic fact practice by equivalent values facilitates children's understanding of math equivalence. Children (M age = 8 years 6 months, N = 104) were randomly assigned to 1 of 3 practice conditions: (a) equivalent values, in which problems were grouped by equivalent sums (e.g., 3 + 4 = 7, 2…

The Differential Effects of Two Self-Managed Math Instruction Procedures: Cover, Copy, and Compare versus Copy, Cover, and Compare

ERIC Educational Resources Information Center

Grafman, Joel M.; Cates, Gary L.

2010-01-01

This study compared the fluency and error rates produced when using the Cover, Copy, and Compare (CCC) and a modified CCC procedure (MCCC) called Copy, Cover, and Compare to complete subtraction math problems. Two second-grade classrooms consisting of 47 total students participated in the study. The following items were administered to…

Preliminary Success and Retention Rates in Selected Math Courses. Research Report.

ERIC Educational Resources Information Center

Cuesta Coll., San Luis Obispo, CA. Matriculation and Research Services.

This report presents findings of exploratory research on success, retention, and persistence in math courses at Cuesta College. The following research questions were addressed: (1) How do success rates in Math 23 (elementary algebra) and Math 27 (intermediate algebra) compare with traditional and computer-assisted formats? (2) What are the…

Making Math Real: Effective Qualities of Guest Speaker Presentations and the Impact of Speakers on Student Attitude and Achievement in the Algebra Classroom

ERIC Educational Resources Information Center

McKain, Danielle R.

2012-01-01

The term real world is often used in mathematics education, yet the definition of real-world problems and how to incorporate them in the classroom remains ambiguous. One way real-world connections can be made is through guest speakers. Guest speakers can offer different perspectives and share knowledge about various subject areas, yet the impact…

Math for Learning, Math for Life: An Annotated Bibliography.

ERIC Educational Resources Information Center

Elliott, Claire

This document presents a total of 109 references and annotations of works that are in some way related to the topic of math for learning and life. Section 1 presents 68 annotated references with keywords drawn from the Canadian Literacy Thesaurus. Selected topics covered in the listed publications are as follows: numeracy as social practice; the…

The role of early language abilities on math skills among Chinese children.

PubMed

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

PubMed Central

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

Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model

NASA Astrophysics Data System (ADS)

Littin, Jorge; Picco, Pierre

2017-07-01

In this work, we study the problem of getting quasi-additive bounds for the Hamiltonian of the long range Ising model, when the two-body interaction term decays proportionally to 1/d2 -α , α ∈(0,1 ) . We revisit the paper by Cassandro et al. [J. Math. Phys. 46, 053305 (2005)] where they extend to the case α ∈[0 ,ln3/ln2 -1 ) the result of the existence of a phase transition by using a Peierls argument given by Fröhlich and Spencer [Commun. Math. Phys. 84, 87-101 (1982)] for α =0 . The main arguments of Cassandro et al. [J. Math. Phys. 46, 053305 (2005)] are based in a quasi-additive decomposition of the Hamiltonian in terms of hierarchical structures called triangles and contours, which are related to the original definition of contours introduced by Fröhlich and Spencer [Commun. Math. Phys. 84, 87-101 (1982)]. In this work, we study the existence of a quasi-additive decomposition of the Hamiltonian in terms of the contours defined in the work of Cassandro et al. [J. Math. Phys. 46, 053305 (2005)]. The most relevant result obtained is Theorem 4.3 where we show that there is a quasi-additive decomposition for the Hamiltonian in terms of contours when α ∈[0,1 ) but not in terms of triangles. The fact that it cannot be a quasi-additive bound in terms of triangles lead to a very interesting maximization problem whose maximizer is related to a discrete Cantor set. As a consequence of the quasi-additive bounds, we prove that we can generalise the [Cassandro et al., J. Math. Phys. 46, 053305 (2005)] result, that is, a Peierls argument, to the whole interval α ∈[0,1 ) . We also state here the result of Cassandro et al. [Commun. Math. Phys. 327, 951-991 (2014)] about cluster expansions which implies that Theorem 2.4 that concerns interfaces and Theorem 2.5 that concerns n point truncated correlation functions in Cassandro et al. [Commun. Math. Phys. 327, 951-991 (2014)] are valid for all α ∈[0,1 ) instead of only α ∈[0 ,ln3/ln2 -1 ) .

Classification and identification of reading and math disabilities: the special case of comorbidity.

PubMed

Branum-Martin, Lee; Fletcher, Jack M; Stuebing, Karla K

2013-01-01

Much of learning disabilities research relies on categorical classification frameworks that use psychometric tests and cut points to identify children with reading or math difficulties. However, there is increasing evidence that the attributes of reading and math learning disabilities are dimensional, representing correlated continua of severity. We discuss issues related to categorical and dimensional approaches to reading and math disabilities, and their comorbid associations, highlighting problems with the use of cut points and correlated assessments. Two simulations are provided in which the correlational structure of a set of cognitive and achievement data are simulated from a single population with no categorical structures. The simulations produce profiles remarkably similar to reported profile differences, suggesting that the patterns are a product of the cut point and the correlational structure of the data. If dimensional approaches better fit the attributes of learning disability, new conceptualizations and better methods to identification and intervention may emerge, especially for comorbid associations of reading and math difficulties.

The Interference of Stereotype Threat with Women's Generation of Mathematical Problem-Solving Strategies.

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…

No Parent Left Behind: Strengthening Ties between Educators and African American Parents/Guardians.

ERIC Educational Resources Information Center

Thompson, Gail L.

2003-01-01

Used regression analyses to identify variables predicting the six most frequently cited problems that concerned African American parents and guardians of children enrolled in urban schools. Data from parent/guardian surveys highlighted six problems: school district racial climate; math problems; suspension; writing problems; reading comprehension…

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…

Attributional Gender Bias: Teachers' Ability and Effort Explanations for Students' Math Performance

ERIC Educational Resources Information Center

Espinoza, Penelope; Arêas da Luz Fontes, Ana B.; Arms-Chavez, Clarissa J.

2014-01-01

Research is presented on the attributional gender bias: the tendency to generate different attributions (explanations) for female versus male students' performance in math. Whereas boys' successes in math are attributed to ability, girls' successes are attributed to effort; conversely, boys' failures in math are attributed to a…

Measurement of math beliefs and their associations with math behaviors in college students.

PubMed

Hendy, Helen M; Schorschinsky, Nancy; Wade, Barbara

2014-12-01

Our purpose in the present study was to expand understanding of math beliefs in college students by developing 3 new psychometrically tested scales as guided by expectancy-value theory, self-efficacy theory, and health belief model. Additionally, we identified which math beliefs (and which theory) best explained variance in math behaviors and performance by college students and which students were most likely to have problematic math beliefs. Study participants included 368 college math students who completed questionnaires to report math behaviors (attending class, doing homework, reading textbooks, asking for help) and used a 5-point rating scale to indicate a variety of math beliefs. For a subset of 84 students, math professors provided final math grades. Factor analyses produced a 10-item Math Value Scale with 2 subscales (Class Devaluation, No Future Value), a 7-item single-dimension Math Confidence Scale, and an 11-item Math Barriers Scale with 2 subscales (Math Anxiety, Discouraging Words). Hierarchical multiple regression revealed that high levels of the newly discovered class devaluation belief (guided by expectancy-value theory) were most consistently associated with poor math behaviors in college students, with high math anxiety (guided by health belief model) and low math confidence (guided by self-efficacy theory) also found to be significant. Analyses of covariance revealed that younger and male students were at increased risk for class devaluation and older students were at increased risk for poor math confidence. (c) 2014 APA, all rights reserved.

Remediating Common Math Errors.

ERIC Educational Resources Information Center

Wagner, Rudolph F.

1981-01-01

Explanations and remediation suggestions for five types of mathematics errors due either to perceptual or cognitive difficulties are given. Error types include directionality problems, mirror writing, visually misperceived signs, diagnosed directionality problems, and mixed process errors. (CL)

General topology meets model theory, on and

PubMed Central

Malliaris, Maryanthe; Shelah, Saharon

2013-01-01

Cantor proved in 1874 [Cantor G (1874) J Reine Angew Math 77:258–262] that the continuum is uncountable, and Hilbert’s first problem asks whether it is the smallest uncountable cardinal. A program arose to study cardinal invariants of the continuum, which measure the size of the continuum in various ways. By Gödel [Gödel K (1939) Proc Natl Acad Sci USA 25(4):220–224] and Cohen [Cohen P (1963) Proc Natl Acad Sci USA 50(6):1143–1148], Hilbert’s first problem is independent of ZFC (Zermelo-Fraenkel set theory with the axiom of choice). Much work both before and since has been done on inequalities between these cardinal invariants, but some basic questions have remained open despite Cohen’s introduction of forcing. The oldest and perhaps most famous of these is whether “,” which was proved in a special case by Rothberger [Rothberger F (1948) Fund Math 35:29–46], building on Hausdorff [Hausdorff (1936) Fund Math 26:241–255]. In this paper we explain how our work on the structure of Keisler’s order, a large-scale classification problem in model theory, led to the solution of this problem in ZFC as well as of an a priori unrelated open question in model theory. PMID:23836659

Global Container Management Process Improvements

DTIC Science & Technology

2015-06-19

Salesman Problem . Retrieved December 31, 2014, from TSP: http://www.math.uwaterloo.ca/tsp/ Department of Defense. (2002, January 1). MIL-HDBK-138B...6 Problem Statement... Problem Statement SDDC has a fragmented GCM policy caused by horizontal levels of authority, conflicting mission and metrics, incomplete

Cognitive Profiles of Mathematical Problem Solving Learning Disability for Different Definitions of Disability

PubMed Central

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

Mathematics anxiety in children with developmental dyscalculia

PubMed Central

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

Cultural differences in complex addition: efficient Chinese versus adaptive Belgians and Canadians.

PubMed

Imbo, Ineke; LeFevre, Jo-Anne

2009-11-01

In the present study, the authors tested the effects of working-memory load on math problem solving in 3 different cultures: Flemish-speaking Belgians, English-speaking Canadians, and Chinese-speaking Chinese currently living in Canada. Participants solved complex addition problems (e.g., 58 + 76) in no-load and working-memory load conditions, in which either the central executive or the phonological loop was loaded. The authors used the choice/no-choice method to obtain unbiased measures of strategy selection and strategy efficiency. The Chinese participants were faster than the Belgians, who were faster and more accurate than the Canadians. The Chinese also required fewer working-memory resources than did the Belgians and Canadians. However, the Chinese chose less adaptively from the available strategies than did the Belgians and Canadians. These cultural differences in math problem solving are likely the result of different instructional approaches during elementary school (practice and training in Asian countries vs. exploration and flexibility in non-Asian countries), differences in the number language, and informal cultural norms and standards. The relevance of being adaptive is discussed as well as the implications of the results in regards to the strategy choice and discovery simulation model of strategy selection (J. Shrager & R. S. Siegler, 1998).

Math Anxiety Is Related to Some, but Not All, Experiences with Math

PubMed Central

O'Leary, Krystle; Fitzpatrick, Cheryll L.; Hallett, Darcy

2017-01-01

Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through elementary school, junior high, and high school, while also assessing math anxiety, general anxiety, and test anxiety. Some reported experiences (e.g., support in high school, giving students plenty of examples) were significantly related to the level of math anxiety, even after controlling for general and test anxiety, but many other factors originally thought to be related to math anxiety did not demonstrate a relation in this study. Overall, this study addresses a gap in the literature and provides some suggestive specifics of the kinds of past experiences that are related to math anxiety and those that are not. PMID:29375410

Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School

PubMed Central

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

Math Anxiety Is Related to Some, but Not All, Experiences with Math.

PubMed

O'Leary, Krystle; Fitzpatrick, Cheryll L; Hallett, Darcy

2017-01-01

Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through elementary school, junior high, and high school, while also assessing math anxiety, general anxiety, and test anxiety. Some reported experiences (e.g., support in high school, giving students plenty of examples) were significantly related to the level of math anxiety, even after controlling for general and test anxiety, but many other factors originally thought to be related to math anxiety did not demonstrate a relation in this study. Overall, this study addresses a gap in the literature and provides some suggestive specifics of the kinds of past experiences that are related to math anxiety and those that are not.

Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School.

PubMed

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.

Comment on "Classification of Lie point symmetries for quadratic Liénard type equation x ̈ + f ( x ) x ˙ 2 + g ( x ) = 0 " [J. Math. Phys. 54, 053506 (2013)] and its erratum [J. Math. Phys. 55, 059901 (2014)

NASA Astrophysics Data System (ADS)

Paliathanasis, A.; Leach, P. G. L.

2016-02-01

We demonstrate a simplification of some recent works on the classification of the Lie symmetries for a quadratic equation of Liénard type. We observe that the problem could have been resolved more simply.

Math Space Mission. [A Product of] the Regional Math Network: A Teacher Invigoration and Curriculum Development Project.

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…

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 and let the free path length be defined as The distribution of values of is studied in the limit as for all . It is shown that the value is critical for this problem: in other words, the limiting behavior of depends only on whether γ is larger or smaller than .

Seeking an African Einstein

NASA Astrophysics Data System (ADS)

Durrani, Matin

2008-07-01

A new postgraduate centre for maths and computer science is set to open in the Nigerian capital of Abuja this month as part of an ambitious plan to find the "next Einstein" in Africa. The centre will provide advanced training to graduate students from across Africa in maths and related fields. It will seek to attract the best young African scientists and nurture their talents as problem-solvers and teachers.

Reducing the Effects of Auditory and Visual Distraction on the Math Performances of Students with Attention Deficit Hyperactivity Disorder

ERIC Educational Resources Information Center

Kercood, Suneeta; Grskovic, Janice A.

2010-01-01

Two exploratory studies assessed the effects of an intervention on the math problem solving of students with Attention Deficit Hyperactivity Disorder (ADHD). In the first study, students were assessed on a visual task in a high stimulation classroom analog setting with and without the use of a fine motor activity. Results showed that the fine…

Can Salience of Gender Identity Impair Math Performance among 7-8 Years Old Girls? The Moderating Role of Task Difficulty

ERIC Educational Resources Information Center

Neuville, Emmanuelle; Croizet, Jean-Claude

2007-01-01

Can the salience of gender identity affect the math performance of 7-8 year old girls? Third-grade girls and boys were required to solve arithmetical problems of varied difficulty. Prior to the test, one half of the participants had their gender identity activated. Results showed that activation of gender identity affected girls' performance but…

Preface

DTIC Science & Technology

2016-09-13

lems arising, for example, after discretization of optimal control problems. Lucien developed a general framework for quantifying near-optimality...Polak, E., Da Cunha, N.O.: Constrainedminimization under vector valued-criteria in finite dimensional spaces. J. Math . Anal. Appl. 19(1), 103–124...1969) 12. Pironneau, O., Polak, E.: On the rate of convergence of certain methods of centers. Math . Program. 2(2), 230–258 (1972) 13. Polak, E., Sargent

Problem representation and mathematical problem solving of students of varying math ability.

PubMed

Krawec, Jennifer L

2014-01-01

The purpose of this study was to examine differences in math problem solving among students with learning disabilities (LD, n = 25), low-achieving students (LA, n = 30), and average-achieving students (AA, n = 29). The primary interest was to analyze the processes students use to translate and integrate problem information while solving problems. Paraphrasing, visual representation, and problem-solving accuracy were measured in eighth grade students using a researcher-modified version of the Mathematical Processing Instrument. Results indicated that both students with LD and LA students struggled with processing but that students with LD were significantly weaker than their LA peers in paraphrasing relevant information. Paraphrasing and visual representation accuracy each accounted for a statistically significant amount of variance in problem-solving accuracy. Finally, the effect of visual representation of relevant information on problem-solving accuracy was dependent on ability; specifically, for students with LD, generating accurate visual representations was more strongly related to problem-solving accuracy than for AA students. Implications for instruction for students with and without LD are discussed.

Higher Self-Control Capacity Predicts Lower Anxiety-Impaired Cognition during Math Examinations.

PubMed

Bertrams, Alex; Baumeister, Roy F; Englert, Chris

2016-01-01

We assumed that self-control capacity, self-efficacy, and self-esteem would enable students to keep attentional control during tests. Therefore, we hypothesized that the three personality traits would be negatively related to anxiety-impaired cognition during math examinations. Secondary school students (N = 158) completed measures of self-control capacity, self-efficacy, and self-esteem at the beginning of the school year. Five months later, anxiety-impaired cognition during math examinations was assessed. Higher self-control capacity, but neither self-efficacy nor self-esteem, predicted lower anxiety-impaired cognition 5 months later, over and above baseline anxiety-impaired cognition. Moreover, self-control capacity was indirectly related to math grades via anxiety-impaired cognition. The findings suggest that improving self-control capacity may enable students to deal with anxiety-related problems during school tests.

Higher Self-Control Capacity Predicts Lower Anxiety-Impaired Cognition during Math Examinations

PubMed Central

Bertrams, Alex; Baumeister, Roy F.; Englert, Chris

2016-01-01

We assumed that self-control capacity, self-efficacy, and self-esteem would enable students to keep attentional control during tests. Therefore, we hypothesized that the three personality traits would be negatively related to anxiety-impaired cognition during math examinations. Secondary school students (N = 158) completed measures of self-control capacity, self-efficacy, and self-esteem at the beginning of the school year. Five months later, anxiety-impaired cognition during math examinations was assessed. Higher self-control capacity, but neither self-efficacy nor self-esteem, predicted lower anxiety-impaired cognition 5 months later, over and above baseline anxiety-impaired cognition. Moreover, self-control capacity was indirectly related to math grades via anxiety-impaired cognition. The findings suggest that improving self-control capacity may enable students to deal with anxiety-related problems during school tests. PMID:27065013

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…

Are Psychology Students Getting Worse at Math?: Trends in the Math Skills of Psychology Statistics Students across 21 Years

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…

Math Strategies You Can Count On: Tools & Activities to Build Math Appreciation, Understanding & Skills

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…

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.

Fluid reasoning predicts future mathematics among children and adolescents

PubMed Central

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

Remediation of Childhood Math Anxiety and Associated Neural Circuits through Cognitive Tutoring.

PubMed

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.

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.…

Integrating Quantitative Reasoning into STEM Courses Using an Energy and Environment Context

NASA Astrophysics Data System (ADS)

Myers, J. D.; Lyford, M. E.; Mayes, R. L.

2010-12-01

Many secondary and post-secondary science classes do not integrate math into their curriculum, while math classes commonly teach concepts without meaningful context. Consequently, students lack basic quantitative skills and the ability to apply them in real-world contexts. For the past three years, a Wyoming Department of Education funded Math Science Partnership at the University of Wyoming (UW) has brought together middle and high school science and math teachers to model how math and science can be taught together in a meaningful way. The UW QR-STEM project emphasizes the importance of Quantitative Reasoning (QR) to student success in Science, Technology, Engineering and Mathematics (STEM). To provide a social context, QR-STEM has focused on energy and the environment. In particular, the project has examined how QR and STEM concepts play critical roles in many of the current global challenges of energy and environment. During four 3-day workshops each summer and over several virtual and short face-to-face meetings during the academic year, UW and community college science and math faculty work with math and science teachers from middle and high schools across the state to improve QR instruction in math and science classes. During the summer workshops, faculty from chemistry, physics, earth sciences, biology and math lead sessions to: 1) improve the basic science content knowledge of teachers; 2) improve teacher understanding of math and statistical concepts, 3) model how QR can be taught by engaging teachers in sessions that integrate math and science in an energy and environment context; and 4) focus curricula using Understanding by Design to identify enduring understandings on which to center instructional strategies and assessment. In addition to presenting content, faculty work with teachers as they develop classroom lessons and larger units to be implemented during the school year. Teachers form interdisciplinary groups which often consist of math and science teachers from the same school or district. By jointly developing units focused on energy and environment, math and science curricula can be coordinated during the school year. During development, teams present their curricular ideas for peer-review. Throughout the school year, teachers implement their units and collect pre-post data on student learning. Ultimately, science teachers integrate math into their science courses, and math teachers integrate science content in their math courses. Following implementation, participants share their experiences with their peers and faculty. Of central interest during these presentations are: 1) How did the QR-STEM experience change teacher practices in the classroom?; and 2) How did the modification of their teaching practices impact student learning and their ability to successfully master QR? The UW QR-STEM has worked with Wyoming science and math teachers from across the state over the three year grant period.

Attentional bias in math anxiety.

PubMed

Rubinsten, Orly; Eidlin, Hili; Wohl, Hadas; Akibli, Orly

2015-01-01

Cognitive theory from the field of general anxiety suggests that the tendency to display attentional bias toward negative information results in anxiety. Accordingly, the current study aims to investigate whether attentional bias is involved in math anxiety (MA) as well (i.e., a persistent negative reaction to math). Twenty seven participants (14 with high levels of MA and 13 with low levels of MA) were presented with a novel computerized numerical version of the well established dot probe task. One of six types of prime stimuli, either math related or typically neutral, was presented on one side of a computer screen. The prime was preceded by a probe (either one or two asterisks) that appeared in either the prime or the opposite location. Participants had to discriminate probe identity (one or two asterisks). Math anxious individuals reacted faster when the probe was at the location of the numerical related stimuli. This suggests the existence of attentional bias in MA. That is, for math anxious individuals, the cognitive system selectively favored the processing of emotionally negative information (i.e., math related words). These findings suggest that attentional bias is linked to unduly intense MA symptoms.

Nonlinear Wave Propagation

DTIC Science & Technology

1983-12-30

Transform for the Kadomtsev - Petviashvili Equation , M.J. Ablowitz , D. Bar Yaacov and A.S. Fokas, to appear in Stud. in Appl. Math. I.N.S. #21 preprint...Benjamin-Ono equation bears many similariti to the multidimensional problem, especially the Kadomtsev - Petviashvili equation . We discuss many of these...appear in Stud. in Appl. Math. I.N.S. #22 preprint, 1982. 67. On the Inverse Scattering Transform for the Kadomtsev - Petviashvili Equation , M.J. Ablowitz

Where Have All the Good Men Gone?: An Analysis of Gender Differences in Achievement Growth in Eighth and Ninth Grade Math

ERIC Educational Resources Information Center

Plue, Kevin Eric

2011-01-01

The growing epidemic of male underachievement has spawned a great deal of research in the recent past. This body of research has been inconclusive in determining the causes of the problem. This Capstone Project looked at six factors to determine if any of them had a significant effect on the math achievement of either gender. This study was…

"I Can't "Evn" Get Why She Would Make Me "Rite" in Her Class:" Using Think-Alouds in Middle School Math for "At-Risk" Students

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…

New algorithms to compute the nearness symmetric solution of the matrix equation.

PubMed

Peng, Zhen-Yun; Fang, Yang-Zhi; Xiao, Xian-Wei; Du, Dan-Dan

2016-01-01

In this paper we consider the nearness symmetric solution of the matrix equation AXB = C to a given matrix [Formula: see text] in the sense of the Frobenius norm. By discussing equivalent form of the considered problem, we derive some necessary and sufficient conditions for the matrix [Formula: see text] is a solution of the considered problem. Based on the idea of the alternating variable minimization with multiplier method, we propose two iterative methods to compute the solution of the considered problem, and analyze the global convergence results of the proposed algorithms. Numerical results illustrate the proposed methods are more effective than the existing two methods proposed in Peng et al. (Appl Math Comput 160:763-777, 2005) and Peng (Int J Comput Math 87: 1820-1830, 2010).

On control of systems delays in economics

NASA Astrophysics Data System (ADS)

Kim, A. V.; Kormyshev, V. M.; Novikov, M. Yu.; Nikonov, M. A.

2017-11-01

The paper continues presentation of the differential game theory for systems with delays and is devoted to the solution of an approach problem in application to economic problems (Dockner E.J., et all, 2000; R. Isaacs, 1999). The results are obtained in the framework of the positional differential game theory (N.N. Krasovskii, A.I. Subbotin, 1988; A.V. Kryazhimskii, Yu.S. Osipov, 1973; Yu.S. Osipov, J. Appl. Math. Mech. Vol. 35, № 1, № 6, 1971) with application of the i-smooth analysis methodology (A.V. Kim, 2015). Effective construction of extremal positional control is based on the utilization of the so called u-stable sets The necessary and sufficient conditions of high u-stability are presented in the paper.

Flight Software Math Library

NASA Technical Reports Server (NTRS)

McComas, David

2013-01-01

The flight software (FSW) math library is a collection of reusable math components that provides typical math utilities required by spacecraft flight software. These utilities are intended to increase flight software quality reusability and maintainability by providing a set of consistent, well-documented, and tested math utilities. This library only has dependencies on ANSI C, so it is easily ported. Prior to this library, each mission typically created its own math utilities using ideas/code from previous missions. Part of the reason for this is that math libraries can be written with different strategies in areas like error handling, parameters orders, naming conventions, etc. Changing the utilities for each mission introduces risks and costs. The obvious risks and costs are that the utilities must be coded and revalidated. The hidden risks and costs arise in miscommunication between engineers. These utilities must be understood by both the flight software engineers and other subsystem engineers (primarily guidance navigation and control). The FSW math library is part of a larger goal to produce a library of reusable Guidance Navigation and Control (GN&C) FSW components. A GN&C FSW library cannot be created unless a standardized math basis is created. This library solves the standardization problem by defining a common feature set and establishing policies for the library s design. This allows the libraries to be maintained with the same strategy used in its initial development, which supports a library of reusable GN&C FSW components. The FSW math library is written for an embedded software environment in C. This places restrictions on the language features that can be used by the library. Another advantage of the FSW math library is that it can be used in the FSW as well as other environments like the GN&C analyst s simulators. This helps communication between the teams because they can use the same utilities with the same feature set and syntax.

Primary Place. Math Projects That Count.

ERIC Educational Resources Information Center

Buschman, Larry; And Others

1993-01-01

Offers elementary math-centered recycling activities and ideas on transforming throwaways into valuable classroom resources. The math activities teach estimating, counting, measuring, weighing, graphing, patterning, thinking, comparing, proportion, and dimensions. The recycling ideas present ways to use pieces of trash to create educational games.…

Curriculum-Based Language Assessment With Culturally and Linguistically Diverse Students in the Context of Mathematics.

PubMed

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).

One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p^{-2} U(1) Gauge Model

NASA Astrophysics Data System (ADS)

Blaschke, Daniel N.; Rofner, Arnold; Sedmik, René I. P.

2010-05-01

This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative p-2 model originally introduced by Gurau et al. [Comm. Math. Phys. 287 (2009), 275-290]. It is shown that breaking terms of the form used by Vilar et al. [J. Phys. A: Math. Theor. 43 (2010), 135401, 13 pages] and ourselves [Eur. Phys. J. C: Part. Fields 62 (2009), 433-443] to localize the BRST covariant operator (D2θ2D2)-1 lead to difficulties concerning renormalization. The reason is that this dimensionless operator is invariant with respect to any symmetry of the model, and can be inserted to arbitrary power. In the present article we discuss explicit one-loop calculations, and analyze the mechanism the mentioned problems originate from.

Effects of phonological awareness and naming speed on mathematics skills in children with mild intellectual disabilities.

PubMed

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.

The influence of cardiorespiratory fitness on strategic, behavioral, and electrophysiological indices of arithmetic cognition in preadolescent children

PubMed Central

Moore, R. Davis; Drollette, Eric S.; Scudder, Mark R.; Bharij, Aashiv; Hillman, Charles H.

2014-01-01

The current study investigated the influence of cardiorespiratory fitness on arithmetic cognition in forty 9–10 year old children. Measures included a standardized mathematics achievement test to assess conceptual and computational knowledge, self-reported strategy selection, and an experimental arithmetic verification task (including small and large addition problems), which afforded the measurement of event-related brain potentials (ERPs). No differences in math achievement were observed as a function of fitness level, but all children performed better on math concepts relative to math computation. Higher fit children reported using retrieval more often to solve large arithmetic problems, relative to lower fit children. During the arithmetic verification task, higher fit children exhibited superior performance for large problems, as evidenced by greater d' scores, while all children exhibited decreased accuracy and longer reaction time for large relative to small problems, and incorrect relative to correct solutions. On the electrophysiological level, modulations of early (P1, N170) and late ERP components (P3, N400) were observed as a function of problem size and solution correctness. Higher fit children exhibited selective modulations for N170, P3, and N400 amplitude relative to lower fit children, suggesting that fitness influences symbolic encoding, attentional resource allocation and semantic processing during arithmetic tasks. The current study contributes to the fitness-cognition literature by demonstrating that the benefits of cardiorespiratory fitness extend to arithmetic cognition, which has important implications for the educational environment and the context of learning. PMID:24829556

Minimization of the root of a quadratic functional under a system of affine equality constraints with application to portfolio management

NASA Astrophysics Data System (ADS)

Landsman, Zinoviy

2008-10-01

We present an explicit closed form solution of the problem of minimizing the root of a quadratic functional subject to a system of affine constraints. The result generalizes Z. Landsman, Minimization of the root of a quadratic functional under an affine equality constraint, J. Comput. Appl. Math. 2007, to appear, see , articles in press, where the optimization problem was solved under only one linear constraint. This is of interest for solving significant problems pertaining to financial economics as well as some classes of feasibility and optimization problems which frequently occur in tomography and other fields. The results are illustrated in the problem of optimal portfolio selection and the particular case when the expected return of finance portfolio is certain is discussed.

Problem Solving Software for Math Classes.

ERIC Educational Resources Information Center

Troutner, Joanne

1987-01-01

Described are 10 computer software programs for problem solving related to mathematics. Programs described are: (1) Box Solves Story Problems; (2) Safari Search; (3) Puzzle Tanks; (4) The King's Rule; (5) The Factory; (6) The Royal Rules; (7) The Enchanted Forest; (8) Gears; (9) The Super Factory; and (10) Creativity Unlimited. (RH)

Artificial Intelligence and the Education of the Learning Disabled.

ERIC Educational Resources Information Center

Halpern, Noemi

1984-01-01

Computer logic is advised for teaching learning disabled children because the computer reduces complicated problems to series of subproblems, then combines solutions of subproblems to solve the initial problem. Seven examples for using the technique are given, including solving verbal math problems. Encourages teachers to learn computer…

That Can't Be Right! Using Counterintuitive Math Problems.

ERIC Educational Resources Information Center

Maylone, Nelson John

This book is designed to provide middle-grade mathematics teachers with ideas for enlivening instruction to help students acquire a sense about numbers. Guided classroom discussions for writing opportunities centered on the theme of problem solving are provided. Following an introduction, chapters include the following: Counterintuitive Problems;…

Mathematical Problem Solving for Youth with ADHD, with and without Learning Disabilities.

ERIC Educational Resources Information Center

Zentall, Sydney S.; Ferkis, Mary Ann

1993-01-01

This review of research finds that, when IQ and reading ability are controlled, "true" math deficits of students with learning disabilities, attention deficit disorders, and attention deficit hyperactive disorders (ADHD) are specific to mathematical concepts and problem types. Slow computation affects problem solving by increasing attentional…

Problem Solving: How Do In-Service Secondary School Teachers of Mathematics Make Sense of a Non-Routine Problem Context?

ERIC Educational Resources Information Center

Mwei, Philip K.

2017-01-01

The concept of mathematical problem solving is an important mathematical process in mathematics curricula of education systems worldwide. These math curricula demand that learners are exposed to authentic problems that foster successful problem solving. To attain this very important goal, there must be mathematics teachers well versed in content…

Gender stereotype endorsement differentially predicts girls' and boys' trait-state discrepancy in math anxiety.

PubMed

Bieg, Madeleine; Goetz, Thomas; Wolter, Ilka; Hall, Nathan C

2015-01-01

Mathematics is associated with anxiety for many students; an emotion linked to lower well-being and poorer learning outcomes. While findings typically show females to report higher trait math anxiety than males, no gender differences have to date been found in state (i.e., momentary) math anxiety. The present diary study aimed to replicate previous findings in investigating whether levels of academic self-concept was related to this discrepancy in trait vs. state anxiety measures. Additionally, mathematics-related gender stereotype endorsement (mathematics is a male domain) was investigated as an additional predictor of the trait-state discrepancy. The sample included 755 German 9th and 10th graders who completed self-report measures of trait math anxiety, math self-concept, and gender stereotype endorsement, in addition to state measures of anxiety after math classes by use of a standardized diary for 2-3 weeks (N within = 6207). As expected, females reported higher trait math anxiety but no gender differences were found for state math anxiety. Also in line with our assumptions, multilevel analyses showed the discrepancy between trait and state anxiety to be negatively related to students' self-concept (i.e., a lower discrepancy for students with higher self-concepts). Furthermore, gender stereotype endorsement differentially predicted the trait-state discrepancy: When controlling for self-concept in mathematics, females who endorsed the gender stereotype of math being a male domain more strongly overestimated their trait math anxiety as compared to their state anxiety whereas this effect was not significant for males. The present findings suggest that gender stereotype endorsement plays an important role in explaining gender differences in math anxiety above and beyond academic self-concept. Implications for future research and educational practice are discussed.

Gender stereotype endorsement differentially predicts girls' and boys' trait-state discrepancy in math anxiety

PubMed Central

Bieg, Madeleine; Goetz, Thomas; Wolter, Ilka; Hall, Nathan C.

2015-01-01

Mathematics is associated with anxiety for many students; an emotion linked to lower well-being and poorer learning outcomes. While findings typically show females to report higher trait math anxiety than males, no gender differences have to date been found in state (i.e., momentary) math anxiety. The present diary study aimed to replicate previous findings in investigating whether levels of academic self-concept was related to this discrepancy in trait vs. state anxiety measures. Additionally, mathematics-related gender stereotype endorsement (mathematics is a male domain) was investigated as an additional predictor of the trait-state discrepancy. The sample included 755 German 9th and 10th graders who completed self-report measures of trait math anxiety, math self-concept, and gender stereotype endorsement, in addition to state measures of anxiety after math classes by use of a standardized diary for 2–3 weeks (Nwithin = 6207). As expected, females reported higher trait math anxiety but no gender differences were found for state math anxiety. Also in line with our assumptions, multilevel analyses showed the discrepancy between trait and state anxiety to be negatively related to students' self-concept (i.e., a lower discrepancy for students with higher self-concepts). Furthermore, gender stereotype endorsement differentially predicted the trait-state discrepancy: When controlling for self-concept in mathematics, females who endorsed the gender stereotype of math being a male domain more strongly overestimated their trait math anxiety as compared to their state anxiety whereas this effect was not significant for males. The present findings suggest that gender stereotype endorsement plays an important role in explaining gender differences in math anxiety above and beyond academic self-concept. Implications for future research and educational practice are discussed. PMID:26441778

Professional Development for Early Childhood Educators: Efforts to Improve Math and Science Learning Opportunities in Early Childhood Classrooms.

PubMed

Piasta, Shayne B; Logan, Jessica A R; Pelatti, Christina Yeager; Capps, Janet L; Petrill, Stephen A

2015-05-01

Because recent initiatives highlight the need to better support preschool-aged children's math and science learning, the present study investigated the impact of professional development in these domains for early childhood educators. Sixty-five educators were randomly assigned to experience 10.5 days (64 hours) of training on math and science or on an alternative topic. Educators' provision of math and science learning opportunities were documented, as were the fall-to-spring math and science learning gains of children ( n = 385) enrolled in their classrooms. Professional development significantly impacted provision of science, but not math, learning opportunities. Professional development did not directly impact children's math or science learning, although science learning was indirectly affected via the increase in science learning opportunities. Both math and science learning opportunities were positively associated with children's learning. Results suggest that substantive efforts are necessary to ensure that children have opportunities to learn math and science from a young age.

Professional Development for Early Childhood Educators: Efforts to Improve Math and Science Learning Opportunities in Early Childhood Classrooms

PubMed Central

Piasta, Shayne B.; Logan, Jessica A. R.; Pelatti, Christina Yeager; Capps, Janet L.; Petrill, Stephen A.

2014-01-01

Because recent initiatives highlight the need to better support preschool-aged children’s math and science learning, the present study investigated the impact of professional development in these domains for early childhood educators. Sixty-five educators were randomly assigned to experience 10.5 days (64 hours) of training on math and science or on an alternative topic. Educators’ provision of math and science learning opportunities were documented, as were the fall-to-spring math and science learning gains of children (n = 385) enrolled in their classrooms. Professional development significantly impacted provision of science, but not math, learning opportunities. Professional development did not directly impact children’s math or science learning, although science learning was indirectly affected via the increase in science learning opportunities. Both math and science learning opportunities were positively associated with children’s learning. Results suggest that substantive efforts are necessary to ensure that children have opportunities to learn math and science from a young age. PMID:26257434

Gender compatibility, math-gender stereotypes, and self-concepts in math and physics

NASA Astrophysics Data System (ADS)

Koul, Ravinder; Lerdpornkulrat, Thanita; Poondej, Chanut

2016-12-01

[This paper is part of the Focused Collection on Gender in Physics.] Positive self-assessment of ability in the quantitative domains is considered critical for student participation in science, technology, engineering, and mathematics field studies. The present study investigated associations of gender compatibility (gender typicality and contentedness) and math-gender stereotypes with self-concepts in math and physics. Statistical analysis of survey data was based on a sample of 170 male and female high school science students matched on propensity scores based on age and past GPA scores in math. Results of MANCOVA analyses indicated that the combination of high personal gender compatibility with low endorsement of math-gender stereotypes was associated with low gender differentials in math and physics self-concepts whereas the combination of high personal gender compatibility with high endorsement of math-gender stereotypes was associated with high gender differentials in math and physics self-concepts. These results contribute to the recent theoretical and empirical work on antecedents to the math and physics identities critical to achieving gender equity in STEM fields.

Structuring Word Problems for Diagnostic Teaching: Helping Teachers Meet the Needs of Children with Mild Disabilities.

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…

The Development and Validation of a Revised Version of the Math Anxiety Scale for Young Children.

PubMed

Ganley, Colleen M; McGraw, Amanda L

2016-01-01

Although there is an extensive amount of research that examines the relation between math anxiety and math performance in adolescents and adults, little work has focused on this relation in young children. Recently more attention has been paid to the early development of math anxiety, and new measures have been created for use with this age group. In the present study, we report on the development and validation of a revised version of the Math Anxiety Scale for Young Children (MASYC; Harari et al., 2013). We conducted cognitive interviews with the 12 MASYC items with nine children and then administered the MASYC and five newly-developed items to 296 first-, second- and third-grade children. Results from cognitive interviews show that three of the items from the original scale were being systematically misinterpreted by young children. We present a revised measure (the MASYC-R) consisting of 13 items (eight original, five newly-developed) that shows strong evidence for reliability and validity. Results also showed that a small, but meaningful, proportion of children at this age show signs of high math anxiety. Validity of the MASYC-R was supported through correlations with a number of other factors, including general anxiety, math performance, and math attitudes. In addition, results suggest that a substantial proportion of the variance in math anxiety can be explained from these other variables together. The findings suggest that the MASYC-R is appropriate for use with young children and can help researchers to answer important questions about the nature and development of math anxiety at this age.

The Development and Validation of a Revised Version of the Math Anxiety Scale for Young Children

PubMed Central

Ganley, Colleen M.; McGraw, Amanda L.

2016-01-01

Although there is an extensive amount of research that examines the relation between math anxiety and math performance in adolescents and adults, little work has focused on this relation in young children. Recently more attention has been paid to the early development of math anxiety, and new measures have been created for use with this age group. In the present study, we report on the development and validation of a revised version of the Math Anxiety Scale for Young Children (MASYC; Harari et al., 2013). We conducted cognitive interviews with the 12 MASYC items with nine children and then administered the MASYC and five newly-developed items to 296 first-, second- and third-grade children. Results from cognitive interviews show that three of the items from the original scale were being systematically misinterpreted by young children. We present a revised measure (the MASYC-R) consisting of 13 items (eight original, five newly-developed) that shows strong evidence for reliability and validity. Results also showed that a small, but meaningful, proportion of children at this age show signs of high math anxiety. Validity of the MASYC-R was supported through correlations with a number of other factors, including general anxiety, math performance, and math attitudes. In addition, results suggest that a substantial proportion of the variance in math anxiety can be explained from these other variables together. The findings suggest that the MASYC-R is appropriate for use with young children and can help researchers to answer important questions about the nature and development of math anxiety at this age. PMID:27605917

Mixed Nash equilibria in Eisert-Lewenstein-Wilkens (ELW) games

NASA Astrophysics Data System (ADS)

Bolonek-Lasoń, Katarzyna; Kosiński, Piotr

2017-01-01

The classification of all mixed Nash equilibria for the original ELW game is presented. It is based on the quaternionic form of the game proposed by Landsburg (Proc. Am. Math. Soc. 139 (2011), 4423; Rochester Working Paper No 524 (2006); Wiley Encyclopedia of Operations Research and Management Science (Wiley and Sons, New York, (2011)). This approach allows to reduce the problem of finding the Nash equilibria to relatively simple analysis of the extrema of certain quadratic forms.

Project Shuttle simulation math model coordination catalog, revision 1

NASA Technical Reports Server (NTRS)

1974-01-01

A catalog is presented of subsystem and environment math models used or planned for space shuttle simulations. The purpose is to facilitate sharing of similar math models between shuttle simulations. It provides information on mach model requirements, formulations, schedules, and contact persons for further information.

On Darboux's approach to R-separability of variables. Classification of conformally flat 4-dimensional binary metrics

NASA Astrophysics Data System (ADS)

Szereszewski, A.; Sym, A.

2015-09-01

The standard method of separation of variables in PDEs called the Stäckel-Robertson-Eisenhart (SRE) approach originated in the papers by Robertson (1928 Math. Ann. 98 749-52) and Eisenhart (1934 Ann. Math. 35 284-305) on separability of variables in the Schrödinger equation defined on a pseudo-Riemannian space equipped with orthogonal coordinates, which in turn were based on the purely classical mechanics results by Paul Stäckel (1891, Habilitation Thesis, Halle). These still fundamental results have been further extended in diverse directions by e.g. Havas (1975 J. Math. Phys. 16 1461-8 J. Math. Phys. 16 2476-89) or Koornwinder (1980 Lecture Notes in Mathematics 810 (Berlin: Springer) pp 240-63). The involved separability is always ordinary (factor R = 1) and regular (maximum number of independent parameters in separation equations). A different approach to separation of variables was initiated by Gaston Darboux (1878 Ann. Sci. E.N.S. 7 275-348) which has been almost completely forgotten in today’s research on the subject. Darboux’s paper was devoted to the so-called R-separability of variables in the standard Laplace equation. At the outset he did not make any specific assumption about the separation equations (this is in sharp contrast to the SRE approach). After impressive calculations Darboux obtained a complete solution of the problem. He found not only eleven cases of ordinary separability Eisenhart (1934 Ann. Math. 35 284-305) but also Darboux-Moutard-cyclidic metrics (Bôcher 1894 Ueber die Reihenentwickelungen der Potentialtheorie (Leipzig: Teubner)) and non-regularly separable Dupin-cyclidic metrics as well. In our previous paper Darboux’s approach was extended to the case of the stationary Schrödinger equation on Riemannian spaces admitting orthogonal coordinates. In particular the class of isothermic metrics was defined (isothermicity of the metric is a necessary condition for its R-separability). An important sub-class of isothermic metrics are binary metrics. In this paper we solve the following problem: to classify all conformally flat (of arbitrary signature) 4-dimensional binary metrics. Among them there are 1) those that are separable in the sense of SRE metrics Kalnins-Miller (1978 Trans. Am. Math. Soc. 244 241-61 1982 J. Phys. A: Math. Gen. 15 2699-709 1984 Adv. Math. 51 91-106 1983 SIAM J. Math. Anal. 14 126-37) and 2) new examples of non-Stäckel R-separability in 4 dimensions.

Dynamic Assessment of Algebraic Learning in Predicting Third Graders’ Development of Mathematical Problem Solving

PubMed Central

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

Attentional bias in math anxiety

PubMed Central

Rubinsten, Orly; Eidlin, Hili; Wohl, Hadas; Akibli, Orly

2015-01-01

Cognitive theory from the field of general anxiety suggests that the tendency to display attentional bias toward negative information results in anxiety. Accordingly, the current study aims to investigate whether attentional bias is involved in math anxiety (MA) as well (i.e., a persistent negative reaction to math). Twenty seven participants (14 with high levels of MA and 13 with low levels of MA) were presented with a novel computerized numerical version of the well established dot probe task. One of six types of prime stimuli, either math related or typically neutral, was presented on one side of a computer screen. The prime was preceded by a probe (either one or two asterisks) that appeared in either the prime or the opposite location. Participants had to discriminate probe identity (one or two asterisks). Math anxious individuals reacted faster when the probe was at the location of the numerical related stimuli. This suggests the existence of attentional bias in MA. That is, for math anxious individuals, the cognitive system selectively favored the processing of emotionally negative information (i.e., math related words). These findings suggest that attentional bias is linked to unduly intense MA symptoms. PMID:26528208

Developmental and individual differences in pure numerical estimation.

PubMed

Booth, Julie L; Siegler, Robert S

2006-01-01

The authors examined developmental and individual differences in pure numerical estimation, the type of estimation that depends solely on knowledge of numbers. Children between kindergarten and 4th grade were asked to solve 4 types of numerical estimation problems: computational, numerosity, measurement, and number line. In Experiment 1, kindergartners and 1st, 2nd, and 3rd graders were presented problems involving the numbers 0-100; in Experiment 2, 2nd and 4th graders were presented problems involving the numbers 0-1,000. Parallel developmental trends, involving increasing reliance on linear representations of numbers and decreasing reliance on logarithmic ones, emerged across different types of estimation. Consistent individual differences across tasks were also apparent, and all types of estimation skill were positively related to math achievement test scores. Implications for understanding of mathematics learning in general are discussed. Copyright 2006 APA, all rights reserved.

Global Well-Posedness of the Incompressible Magnetohydrodynamics

NASA Astrophysics Data System (ADS)

Cai, Yuan; Lei, Zhen

2018-06-01

This paper studies the Cauchy problem of the incompressible magnetohydro dynamic systems with or without viscosity ν. Under the assumption that the initial velocity field and the displacement of the initialmagnetic field froma non-zero constant are sufficiently small in certain weighted Sobolev spaces, the Cauchy problem is shown to be globally well-posed for all ν ≧ 0 and all spaces with dimension n ≧ 2. Such a result holds true uniformly in nonnegative viscosity parameters. The proof is based on the inherent strong null structure of the systems introduced by Lei (Commun Pure Appl Math 69(11):2072-2106, 2016) and the ghost weight technique introduced by Alinhac (Invent Math 145(3):597-618, 2001).

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,…

Wake up, because Math Matters

ERIC Educational Resources Information Center

Gilpin, Jeanny

2010-01-01

This article presents the author's story, as a teacher, about building a Math Matters club and discusses why her students arrived at school before first bell to participate enthusiastically. The author's students seemed to have a negative attitude about math. In giving that stirring motivational speech, she apparently overlooked one important…

Math in Action. Number-Sense Fun: Solving Riddles, Making Change.

ERIC Educational Resources Information Center

Bresser, Rusty; Sheffield, Stephanie; Burns, Marilyn, Ed.

1997-01-01

Presents two activities for teaching elementary level mathematics by immersing students in worthwhile literature (the Hello Math Reader series) while introducing them to real-life mathematics. The primary level activity teaches students to use number relationships to solve math riddles. The intermediate level activity has students explore…

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…

Mini-Portfolio on Math and Science.

ERIC Educational Resources Information Center

Teaching PreK-8, 1996

1996-01-01

Presents six articles dealing with math and science education: "Sneaker Geometry" (Jack George), "Fairs with a Flair" (Diane McCarty), "Generating Excitement with Math Projects" (Jeffrey Kostecky and Louis Roe), "Playing with Numbers" (Diana Smith), "When Student Teachers Want to Do Hands-On Science" (Betsy Feldkamp-Price), and "Science ala Carte"…

The Impact of Providing Vision Screening and Free Eyeglasses on Academic Outcomes: Evidence from a Randomized Trial in Title I Elementary Schools in Florida

PubMed Central

West, Kristine L.; Lee, Jongwook

2018-01-01

More than 20 percent of all school-aged children in the United States have vision problems, and low-income and minority children are disproportionately likely to have unmet vision care needs. Vision screening is common in U.S. schools, but it remains an open question whether screening alone is sufficient to improve student outcomes. We implemented a multi-armed randomized controlled trial to evaluate the impact of vision screening, and of vision screening accompanied by eye exams and eyeglasses, provided by a non-profit organization to Title I elementary schools in three large central Florida school districts. We find that providing additional/enhanced screening alone is generally insufficient to improve student achievement in math and reading. In contrast, providing screening along with free eye exams and free eyeglasses to students with vision problems improved student achievement as measured by standardized test scores. We find, averaging over all students (including those without vision problems), that this more comprehensive intervention increased the probability of passing the Florida Comprehensive Achievement Tests (FCAT) in reading and math by approximately 2.0 percentage points. We also present evidence that indicates that this impact fades out over time, indicating that follow-up actions after the intervention may be necessary to sustain these estimated achievement gains. PMID:29693366

Effects of Cognitive Strategy Interventions on Word Problem Solving and Working Memory in Children with Math Disabilities

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…

Nonfiction Literature that Highlights Inquiry: How "Real" People Solve "Real" Problems

ERIC Educational Resources Information Center

Zarnowski, Myra; Turkel, Susan

2011-01-01

In this article, the authors explain how nonfiction literature can demonstrate the nature of problem solving within disciplines such as math, science, and social studies. This literature illustrates what it means to puzzle over problems, to apply disciplinary thinking, and to develop creative solutions. The authors look closely at three examples…

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…

Math Problems for Water Quality Control Personnel, Student Workbook. Second Edition.

ERIC Educational Resources Information Center

Delvecchio, Fred; Brutsch, Gloria

This document is the student workbook for a course in mathematics for water quality control personnel. This version contains complete problems, answers and references. Problems are arranged alphabetically by treatment process. Charts, graphs, and drawings represent data forms an operator might see in a plant containing information necessary for…

The Use of a Bar Model Drawing to Teach Word Problem Solving to Students with Mathematics Difficulties

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…

Limitations to Teaching Children 2 + 2 = 4: Typical Arithmetic Problems Can Hinder Learning of Mathematical Equivalence

ERIC Educational Resources Information Center

McNeil, Nicole M.

2008-01-01

Do typical arithmetic problems hinder learning of mathematical equivalence? Second and third graders (7-9 years old; N= 80) received lessons on mathematical equivalence either with or without typical arithmetic problems (e.g., 15 + 13 = 28 vs. 28 = 28, respectively). Children then solved math equivalence problems (e.g., 3 + 9 + 5 = 6 + __),…

Who is afraid of math? Two sources of genetic variance for mathematical anxiety.

PubMed

Wang, Zhe; Hart, Sara Ann; Kovas, Yulia; Lukowski, Sarah; Soden, Brooke; Thompson, Lee A; Plomin, Robert; McLoughlin, Grainne; Bartlett, Christopher W; Lyons, Ian M; Petrill, Stephen A

2014-09-01

Emerging work suggests that academic achievement may be influenced by the management of affect as well as through efficient information processing of task demands. In particular, mathematical anxiety has attracted recent attention because of its damaging psychological effects and potential associations with mathematical problem solving and achievement. This study investigated the genetic and environmental factors contributing to the observed differences in the anxiety people feel when confronted with mathematical tasks. In addition, the genetic and environmental mechanisms that link mathematical anxiety with math cognition and general anxiety were also explored. Univariate and multivariate quantitative genetic models were conducted in a sample of 514 12-year-old twin siblings. Genetic factors accounted for roughly 40% of the variation in mathematical anxiety, with the remaining being accounted for by child-specific environmental factors. Multivariate genetic analyses suggested that mathematical anxiety was influenced by the genetic and nonfamilial environmental risk factors associated with general anxiety and additional independent genetic influences associated with math-based problem solving. The development of mathematical anxiety may involve not only exposure to negative experiences with mathematics, but also likely involves genetic risks related to both anxiety and math cognition. These results suggest that integrating cognitive and affective domains may be particularly important for mathematics and may extend to other areas of academic achievement. © 2014 The Authors. Journal of Child Psychology and Psychiatry. © 2014 Association for Child and Adolescent Mental Health.

The Problem-Solving Nemesis: Mindless Manipulation.

ERIC Educational Resources Information Center

Hawkins, Vincent J.

1987-01-01

Indicates that only 21% of respondents (secondary school math teachers) used computer-assisted instruction for tutorial work, physical models to interpret abstract concepts, or real-life application of the arithmetic or algebraic manipulation. Recommends that creative teaching methods be applied to problem solving. (NKA)

What Are the Signs of Alzheimer's Disease? | NIH MedlinePlus the Magazine

MedlinePlus

... in behavior and personality Conduct tests of memory, problem solving, attention, counting, and language Carry out standard medical ... over and over having trouble paying bills or solving simple math problems getting lost losing things or putting them in ...

Placing Math Reform: Locating Latino English Learners in Math Classrooms and Communities

ERIC Educational Resources Information Center

Erbstein, Nancy

2015-01-01

This article explores how place matters in public school reform efforts intended to promote more equitable opportunities and outcomes. Qualitative case studies of three California middle schools' eighth grade math reforms and the resulting opportunities for Latino English learners are presented, using the conceptual frameworks of critical human…

Effects of Math Anxiety on Student Success in Higher Education

ERIC Educational Resources Information Center

Nunez-Pena, M. I.; Suarez-Pellicioni, M.; Bono, R.

2013-01-01

This study examines whether math anxiety and negative attitudes toward mathematics have an effect on university students' academic achievement in a methodological course forming part of their degree. A total of 193 students were presented with a math anxiety test and some questions about their enjoyment, self-confidence and motivation regarding…

Accelerated Math®. Secondary Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2017

2017-01-01

This intervention report presents findings from a systematic review of "Accelerated Math®" conducted using the WWC Procedures and Standards Handbook (version 3.0) and the Secondary Mathematics review protocol (version 3.1). No studies of "Accelerated Math®" that fall within the scope of the Secondary Mathematics review protocol…

Teachers' Ability and Help Attributions and Children's Math Performance and Task Persistence

ERIC Educational Resources Information Center

Tõeväli, Paula-Karoliina; Kikas, Eve

2016-01-01

The present longitudinal study examined the reciprocal relationships between teachers' causal attributions and children's math performance and task persistence. In total, 760 elementary school children and their teachers participated in this study. The children were tested in math twice, at the end of the second and third grades. At both time…

Gender Similarities in Math Performance from Middle School through High School

ERIC Educational Resources Information Center

Scafidi, Tony; Bui, Khanh

2010-01-01

Using data from 10 states, Hyde, Lindberg, Linn, Ellis, and Williams (2008) found gender similarities in performance on standardized math tests. The present study attempted to replicate this finding with national data and to extend it by examining whether gender similarities in math performance are moderated by race, socioeconomic status, or math…

Classroom Composition, Classroom Management, and the Relationship between Student Attributes and Grades

ERIC Educational Resources Information Center

Hochweber, Jan; Hosenfeld, Ingmar; Klieme, Eckhard

2014-01-01

The present study examined the extent to which the relationships between student self-reported math grades and different types of student variables (standardized math test scores, interest and effort in math, parental education) are predicted by classroom composition and teachers' classroom management. Based on a representative sample of 31,038…

Evaluating Procedures for Reducing Measurement Error in Math Curriculum-Based Measurement Probes

ERIC Educational Resources Information Center

Methe, Scott A.; Briesch, Amy M.; Hulac, David

2015-01-01

At present, it is unclear whether math curriculum-based measurement (M-CBM) procedures provide a dependable measure of student progress in math computation because support for its technical properties is based largely upon a body of correlational research. Recent investigations into the dependability of M-CBM scores have found that evaluating…

Explaining Variation in Student Efforts towards Using Math and Science Knowledge in Engineering Contexts

ERIC Educational Resources Information Center

Berland, Leema K.; Steingut, Rebecca

2016-01-01

Previous research suggests that in classes that take an integrated approach to science, technology, engineering, and math (STEM) education, students tend to engage in fulfilling goals of their engineering design challenges, but only inconsistently engage with the related math and science content. The present research examines these inconsistencies…

ASTP ranging system mathematical model

NASA Technical Reports Server (NTRS)

Ellis, M. R.; Robinson, L. H.

1973-01-01

A mathematical model is presented of the VHF ranging system to analyze the performance of the Apollo-Soyuz test project (ASTP). The system was adapted for use in the ASTP. The ranging system mathematical model is presented in block diagram form, and a brief description of the overall model is also included. A procedure for implementing the math model is presented along with a discussion of the validation of the math model and the overall summary and conclusions of the study effort. Detailed appendices of the five study tasks are presented: early late gate model development, unlock probability development, system error model development, probability of acquisition and model development, and math model validation testing.

Girls' math performance under stereotype threat: the moderating role of mothers' gender stereotypes.

PubMed

Tomasetto, Carlo; Alparone, Francesca Romana; Cadinu, Mara

2011-07-01

Previous research on stereotype threat in children suggests that making gender identity salient disrupts girls' math performance at as early as 5 to 7 years of age. The present study (n = 124) tested the hypothesis that parents' endorsement of gender stereotypes about math moderates girls' susceptibility to stereotype threat. Results confirmed that stereotype threat impaired girls' performance on math tasks among students from kindergarten through 2nd grade. Moreover, mothers' but not fathers' endorsement of gender stereotypes about math moderated girls' vulnerability to stereotype threat: performance of girls whose mothers strongly rejected the gender stereotype about math did not decrease under stereotype threat. These findings are important because they point to the role of mothers' beliefs in the development of girls' vulnerability to the negative effects of gender stereotypes about math. PsycINFO Database Record (c) 2011 APA, all rights reserved

Some practical observations on the predictor jump method for solving the Laplace equation

NASA Astrophysics Data System (ADS)

Duque-Carrillo, J. F.; Vega-Fernández, J. M.; Peña-Bernal, J. J.; Rossell-Bueno, M. A.

1986-01-01

The best conditions for the application of the predictor jump (PJ) method in the solution of the Laplace equation are discussed and some practical considerations for applying this new iterative technique are presented. The PJ method was remarked on in a previous article entitled ``A new way for solving Laplace's problem (the predictor jump method)'' [J. M. Vega-Fernández, J. F. Duque-Carrillo, and J. J. Peña-Bernal, J. Math. Phys. 26, 416 (1985)].

(Quasi)-convexification of Barta's (multi-extrema) bounding theorem: Inf_x\\big(\\ssty\\frac{H\\Phi(x)}{\\Phi(x)} \\big) \\le E_gr \\le Sup_x \\big(\\ssty\\frac{H\\Phi(x)}{\\Phi(x)} \\big)

NASA Astrophysics Data System (ADS)

Handy, C. R.

2006-03-01

There has been renewed interest in the exploitation of Barta's configuration space theorem (BCST) (Barta 1937 C. R. Acad. Sci. Paris 204 472) which bounds the ground-state energy, Inf_x\\big({{H\\Phi(x)}\\over {\\Phi(x)}} \\big ) \\leq E_gr \\leq Sup_x \\big({{H\\Phi(x)}\\over {\\Phi(x)}}\\big) , by using any Φ lying within the space of positive, bounded, and sufficiently smooth functions, {\\cal C} . Mouchet's (Mouchet 2005 J. Phys. A: Math. Gen. 38 1039) BCST analysis is based on gradient optimization (GO). However, it overlooks significant difficulties: (i) appearance of multi-extrema; (ii) inefficiency of GO for stiff (singular perturbation/strong coupling) problems; (iii) the nonexistence of a systematic procedure for arbitrarily improving the bounds within {\\cal C} . These deficiencies can be corrected by transforming BCST into a moments' representation equivalent, and exploiting a generalization of the eigenvalue moment method (EMM), within the context of the well-known generalized eigenvalue problem (GEP), as developed here. EMM is an alternative eigenenergy bounding, variational procedure, overlooked by Mouchet, which also exploits the positivity of the desired physical solution. Furthermore, it is applicable to Hermitian and non-Hermitian systems with complex-number quantization parameters (Handy and Bessis 1985 Phys. Rev. Lett. 55 931, Handy et al 1988 Phys. Rev. Lett. 60 253, Handy 2001 J. Phys. A: Math. Gen. 34 5065, Handy et al 2002 J. Phys. A: Math. Gen. 35 6359). Our analysis exploits various quasi-convexity/concavity theorems common to the GEP representation. We outline the general theory, and present some illustrative examples.

Behavior: My Problem or Yours?

ERIC Educational Resources Information Center

Trede, Mildred

1991-01-01

Activities are described for learning about problem classroom behaviors, the impact of one's manner of attire on one's behavior, and personal responsibility for one's behavior. Learning activities include role playing, making math puzzles, writing personal anecdotes, drawing a persuasive cartoon concerning smoking and discipline, and making bar…

Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay

NASA Astrophysics Data System (ADS)

Dai, Qiuyi; Yang, Zhifeng

2014-10-01

In this paper, we consider initial-boundary value problem of viscoelastic wave equation with a delay term in the interior feedback. Namely, we study the following equation together with initial-boundary conditions of Dirichlet type in Ω × (0, + ∞) and prove that for arbitrary real numbers μ 1 and μ 2, the above-mentioned problem has a unique global solution under suitable assumptions on the kernel g. This improve the results of the previous literature such as Nicaise and Pignotti (SIAM J. Control Optim 45:1561-1585, 2006) and Kirane and Said-Houari (Z. Angew. Math. Phys. 62:1065-1082, 2011) by removing the restriction imposed on μ 1 and μ 2. Furthermore, we also get an exponential decay results for the energy of the concerned problem in the case μ 1 = 0 which solves an open problem proposed by Kirane and Said-Houari (Z. Angew. Math. Phys. 62:1065-1082, 2011).

It's not maths; it's science: exploring thinking dispositions, learning thresholds and mindfulness in science learning

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.

Multi-Program High School Students' Attitudes and Self-Efficacy Perceptions toward Mathematics

ERIC Educational Resources Information Center

Yavuz Mumcu, Hayal; Cansiz Aktas, Meral

2015-01-01

Problem Statement: So far, there have been many problems in maths education in the world; negative attitudes and low self-efficacy perceptions towards mathematics are the two important reasons for these problems. Though there are several studies regarding the topic, choosing random students from secondary school for the sample group of the study…