Mathematical Representation by Students in Building Relational Understanding on Concepts of Area and Perimeter of Rectangle

ERIC Educational Resources Information Center

Anwar, Rahmad Bustanul; Yuwono, Ipung; As'ari, Abdur Rahman; Sisworo; Dwi, Rahmawati

2016-01-01

Representation is an important aspect of learners in building a relational understanding of mathematical concepts. But the ability of a mathematical representation of students in building relational understanding is still very limited. The purpose of this research is to description of mathematical representation of students who appear in building…

Hybrid Task Design: Connecting Learning Opportunities Related to Critical Thinking and Statistical Thinking

ERIC Educational Resources Information Center

Kuntze, Sebastian; Aizikovitsh-Udi, Einav; Clarke, David

2017-01-01

Stimulating thinking related to mathematical content is the focus of many tasks in the mathematics classroom. Beyond such content-related thinking, promoting forms of higher order thinking is among the goals of mathematics instruction as well. So-called hybrid tasks focus on combining both goals: they aim at fostering mathematical thinking and…

In the Middle of Nowhere: How a Textbook Can Position the Mathematics Learner

ERIC Educational Resources Information Center

Herbel-Eisenmann, Beth; Wagner, David

2005-01-01

We outline a framework for investigating how a mathematics textbook positions the mathematics learner. We use tools and concepts from discourse analysis, a field of linguistic scholarship, to illustrate the ways in which a textbook can position people in relation to mathematics and how the text can position the mathematics learner in relation to…

Secondary Teachers’ Mathematics-related Beliefs and Knowledge about Mathematical Problem-solving

NASA Astrophysics Data System (ADS)

E Siswono, T. Y.; Kohar, A. W.; Hartono, S.

2017-02-01

This study investigates secondary teachers’ belief about the three mathematics-related beliefs, i.e. nature of mathematics, teaching mathematics, learning mathematics, and knowledge about mathematical problem solving. Data were gathered through a set of task-based semi-structured interviews of three selected teachers with different philosophical views of teaching mathematics, i.e. instrumental, platonist, and problem solving. Those teachers were selected from an interview using a belief-related task from purposively selected teachers in Surabaya and Sidoarjo. While the interviews about knowledge examine teachers’ problem solving content and pedagogical knowledge, the interviews about beliefs examine their views on several cases extracted from each of such mathematics-related beliefs. Analysis included the categorization and comparison on each of beliefs and knowledge as well as their interaction. Results indicate that all the teachers did not show a high consistency in responding views of their mathematics-related beliefs, while they showed weaknesses primarily on problem solving content knowledge. Findings also point out that teachers’ beliefs have a strong relationship with teachers’ knowledge about problem solving. In particular, the instrumental teacher’s beliefs were consistent with his insufficient knowledge about problem-solving, while both platonist and problem-solving teacher’s beliefs were consistent with their sufficient knowledge of either content or pedagogical problem solving.

Why do early mathematics skills predict later reading? The role of mathematical language.

PubMed

Purpura, David J; Logan, Jessica A R; Hassinger-Das, Brenna; Napoli, Amy R

2017-09-01

A growing body of evidence indicates that the development of mathematics and literacy skills is highly related. The importance of literacy skills-specifically language-for mathematics development has been well rationalized. However, despite several prominent studies indicating that mathematics skills are highly predictive of literacy development, the reason for this relation is not well understood. The purpose of this study was to identify how and why early mathematics is predictive of early literacy development. Participants included 125 preschool children 3-5 years old (M = 4 years 3 months). Participants were assessed on mathematics, literacy, and cognitive measures in both the fall and spring of their preschool year. Mediation analyses indicated that the relation between early mathematics and literacy skills is mediated by children's mathematical language skills. These findings suggest that, in prior research identifying mathematical performance as a significant predictor of later literacy skills, mathematical performance may have acted only as a proxy measure for more complex language skills such as those assessed on a mathematical language measure. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

The co-development and interrelation of proof and authority: The case of Yana and Ronit

NASA Astrophysics Data System (ADS)

Fried, Michael N.; Amit, Miriam

2008-12-01

Students' mathematical lives are characterized not only by a set of mathematical ideas and the engagement in mathematical thinking, but also by social relations, specifically, relations of authority. Watching student actions and speaking to students, one becomes cognizant of a `web of authority' ever present in mathematics classrooms. In past work, it has been shown how those relations of authority may sometimes interfere with students' reflecting on mathematical ideas. However, "…by shifting the emphasis from domination and obedience to negotiation and consent…" (Amit & Fried, 2005, p.164) it has also been stressed that these relations are fluid and are, in fact, a sine qua non in the process of students' defining their place in a mathematical community. But can these fluid relations be operative also in the formation of specific mathematical ideas? It is my contention that they may at least coincide with students' thinking about one significant mathematical idea, namely, the idea of proof. In this talk, I shall discuss both the general question of authority in the mathematics classroom and its specific connection with students' thinking about proof in the context of work done in two 8th grade classrooms.

Mathematics beliefs and achievement of a national sample of Native American students: results from the Trends in International Mathematics and Science Study (TIMSS) 2003 United States assessment.

PubMed

House, J Daniel

2009-04-01

Recent mathematics assessment findings indicate that Native American students tend to score below students of the ethnic majority. Findings suggest that students' beliefs about mathematics are significantly related to achievement outcomes. This study examined relations between self-beliefs and mathematics achievement for a national sample of 130 Grade 8 Native American students from the Trends in International Mathematics and Science Study (TIMSS) 2003 United States sample of (M age = 14.2 yr., SD = 0.5). Multiple regression indicated several significant relations of mathematics beliefs with achievement and accounted for 26.7% of the variance in test scores. Students who earned high test scores tended to hold more positive beliefs about their ability to learn mathematics quickly, while students who earned low scores expressed negative beliefs about their ability to learn new mathematics topics.

Early Executive Function and Mathematics Relations: Correlation Does Not Ensure Concordance.

PubMed

Mazzocco, Michèle M M; Chan, Jenny Yun-Chen; Bock, Allison M

2017-01-01

In this chapter, we address one potentially overlooked component of the relation between executive function (EF) skills and early mathematics, a relation for which there is widespread empirical support. Evidence for this relation has, thus far, been largely correlational. Here we emphasize that because positive correlations do not guarantee concordance among all members of a sample or population, a small but meaningful number of children may either fare well in mathematics despite poor EF skills, or may have strong EF skills despite weak mathematics skills. We propose that attention to different profiles of discordance for EF and mathematics may help identify individualized learning needs for students at risk for mathematics difficulties and disabilities. © 2017 Elsevier Inc. All rights reserved.

Exploring Collective Mathematical Creativity in Elementary School

ERIC Educational Resources Information Center

Levenson, Esther

2011-01-01

This study combines theories related to collective learning and theories related to mathematical creativity to investigate the notion of collective mathematical creativity in elementary school classrooms. Collective learning takes place when mathematical ideas and actions, initially stemming from an individual, are built upon and reworked,…

Dynamic Boolean Mathematics

ERIC Educational Resources Information Center

Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla; Lynch-Davis, Kathleen

2016-01-01

Dynamic mathematical environments allow users to reify mathematical concepts through multiple representations, transform mathematical relations and organically explore mathematical properties, investigate integrated mathematics, and develop conceptual understanding. Herein, we integrate Boolean algebra, the functionalities of a dynamic…

Pedagogical Reform and College WOMEN’S Persistence in Mathematics

NASA Astrophysics Data System (ADS)

Strand, Kerry J. Strand; Mayfield, M. Elizabeth

Significant gender differences persist in the election of mathematics courses and math-related majors in college. Recent research suggests that part of the blame lies with conventional pedagogical approaches and that alternative approaches emphasizing practical applications, collaborative problem solving, and group work make mathematics more understandable and appealing to all students, particularly women. Using questionnaires administered to 355 traditional-age female college students, the authors examined the relationship between alternative teaching strategies in high school mathematics classes and two categories of outcome variables: mathematics-related attitudes and mathematics persistence in college. Multivariate analysis showed that experience with this so-called female-friendly pedagogy is positively related to students’ math-related attitudes and that these attitudes predict math persistence in college. However, the authors’ data also indicate that alternative teaching strategies have no discernible direct effect on students’ choices of mathematics courses or mathrelated

The Threshold Hypothesis Applied to Spatial Skill and Mathematics

ERIC Educational Resources Information Center

Freer, Daniel

2017-01-01

This cross-sectional study assessed the relation between spatial skills and mathematics in 854 participants across kindergarten, third grade, and sixth grade. Specifically, the study probed for a threshold for spatial skills when performing mathematics, above which spatial scores and mathematics scores would be significantly less related. This…

Perception determinants in learning mathematics

NASA Astrophysics Data System (ADS)

Mokhtar, Siti Fairus; Ali, Noor Rasidah; Rashid, Nurazlina Abdul

2015-05-01

This article described a statistical study of students' perception in mathematics. The objective of this study is to identify factors related to perception about learning mathematics among non mathematics' student. This study also determined the relationship between of these factors among non mathematics' student. 43 items questionnaires were distributed to one hundred students in UiTM Kedah who enrolled in the Business Mathematics course. These items were measured by using a semantic scale with the following anchors: 1 = strongly disagree to 7 = strongly agree. A factor analysis of respondents were identified into five factors that influencing the students' perception in mathematics. In my study, factors identified were attitude, interest, role of the teacher, role of peers and usefulness of mathematics that may relate to the perception about learning mathematics among non mathematics' student.

The Relation Between Inattentive and Hyperactive/Impulsive Behaviors and Early Mathematics Skills.

PubMed

Sims, Darcey M; Purpura, David J; Lonigan, Christopher J

2016-08-01

Despite strong evidence that inattentive and hyperactive/impulsive behaviors are associated with mathematical difficulties in school-age children, little research has been conducted to examine the link between these constructs before the start of formal education. The purpose of this study was to examine how different manifestations of inattentive and hyperactive/impulsive behaviors, as measured by different assessment tools, are related to early mathematics skills in preschoolers. Eighty-two preschool children completed a measure of early mathematics and the Continuous Performance Test (CPT). Teachers rated children's behaviors using the Conners' Teacher Rating Scale-15 Item. Sixty-five of these children completed mathematics assessments 1 year later. Teacher ratings of inattention were uniquely related to concurrent early mathematics skills, whereas CPT errors were uniquely predictive of early mathematics skills 1 year later. Findings have implications for the understanding and assessment of behavior problems that are associated with early mathematics difficulties. © The Author(s) 2012.

Special relativity from observer's mathematics point of view

NASA Astrophysics Data System (ADS)

Khots, Boris; Khots, Dmitriy

2015-09-01

When we create mathematical models for quantum theory of light we assume that the mathematical apparatus used in modeling, at least the simplest mathematical apparatus, is infallible. In particular, this relates to the use of "infinitely small" and "infinitely large" quantities in arithmetic and the use of Newton - Cauchy definitions of a limit and derivative in analysis. We believe that is where the main problem lies in contemporary study of nature. We have introduced a new concept of Observer's Mathematics (see www.mathrelativity.com). Observer's Mathematics creates new arithmetic, algebra, geometry, topology, analysis and logic which do not contain the concept of continuum, but locally coincide with the standard fields. We use Einstein special relativity principles and get the analogue of classical Lorentz transformation. This work considers this transformation from Observer's Mathematics point of view.

Using Mathematics, Mathematical Applications, Mathematical Modelling, and Mathematical Literacy: A Theoretical Study

ERIC Educational Resources Information Center

Mumcu, Hayal Yavuz

2016-01-01

The purpose of this theoretical study is to explore the relationships between the concepts of using mathematics in the daily life, mathematical applications, mathematical modelling, and mathematical literacy. As these concepts are generally taken as independent concepts in the related literature, they are confused with each other and it becomes…

Relations of different types of numerical magnitude representations to each other and to mathematics achievement.

PubMed

Fazio, Lisa K; Bailey, Drew H; Thompson, Clarissa A; Siegler, Robert S

2014-07-01

We examined relations between symbolic and non-symbolic numerical magnitude representations, between whole number and fraction representations, and between these representations and overall mathematics achievement in fifth graders. Fraction and whole number symbolic and non-symbolic numerical magnitude understandings were measured using both magnitude comparison and number line estimation tasks. After controlling for non-mathematical cognitive proficiency, both symbolic and non-symbolic numerical magnitude understandings were uniquely related to mathematics achievement, but the relation was much stronger for symbolic numbers. A meta-analysis of 19 published studies indicated that relations between non-symbolic numerical magnitude knowledge and mathematics achievement are present but tend to be weak, especially beyond 6 years of age. Copyright © 2014 Elsevier Inc. All rights reserved.

A Meta-Analysis of Mathematics and Working Memory: Moderating Effects of Working Memory Domain, Type of Mathematics Skill, and Sample Characteristics

ERIC Educational Resources Information Center

Peng, Peng; Namkung, Jessica; Barnes, Marcia; Sun, Congying

2016-01-01

The purpose of this meta-analysis was to determine the relation between mathematics and working memory (WM) and to identify possible moderators of this relation including domains of WM, types of mathematics skills, and sample type. A meta-analysis of 110 studies with 829 effect sizes found a significant medium correlation of mathematics and WM, r…

The relation between children’s constructive play activities, spatial ability, and mathematical word problem-solving performance: a mediation analysis in sixth-grade students

PubMed Central

Oostermeijer, Meike; Boonen, Anton J. H.; Jolles, Jelle

2014-01-01

The scientific literature shows that constructive play activities are positively related to children’s spatial ability. Likewise, a close positive relation is found between spatial ability and mathematical word problem-solving performances. The relation between children’s constructive play and their performance on mathematical word problems is, however, not reported yet. The aim of the present study was to investigate whether spatial ability acted as a mediator in the relation between constructive play and mathematical word problem-solving performance in 128 sixth-grade elementary school children. This mediating role of spatial ability was tested by utilizing the current mediation approaches suggested by Preacher and Hayes (2008). Results showed that 38.16% of the variance in mathematical word problem-solving performance is explained by children’s constructive play activities and spatial ability. More specifically, spatial ability acted as a partial mediator, explaining 31.58% of the relation between constructive play and mathematical word problem-solving performance. PMID:25101038

Project-Based Learning and Design-Focused Projects to Motivate Secondary Mathematics Students

ERIC Educational Resources Information Center

Remijan, Kelly W.

2017-01-01

This article illustrates how mathematics teachers can develop design-focused projects, related to project-based learning, to motivate secondary mathematics students. With first-hand experience as a secondary mathematics teacher, I provide a series of steps related to the engineering design process, which are helpful to teachers in developing…

The Transition from School to University in Mathematics: Which Influence Do School-Related Variables Have?

ERIC Educational Resources Information Center

Rach, Stefanie; Heinze, Aiso

2017-01-01

Particularly in mathematics, the transition from school to university often appears to be a substantial hurdle in the individual learning biography. Differences between the characters of school mathematics and scientific university mathematics as well as different demands related to the learning cultures in both institutions are discussed as…

Mathematics-Related Anxiety and Attitudes: Examining the Impact among Latina Preservice Teachers

ERIC Educational Resources Information Center

Gautreau, Cynthia; Brye, Michelle VanderVeldt; Lunceford, Christina

2016-01-01

The purpose of this study was to investigate mathematics-related anxiety and attitudes among Latina preservice teachers. Three sections from the Inventory of Mathematics Attitudes, Experience, and Self Awareness were administered to preservice teachers enrolled in a curriculum and instruction mathematics course during the 1st semester of a…

Exploring individual differences in children's mathematical skills: a correlational and dimensional approach.

PubMed

Sigmundsson, H; Polman, R C J; Lorås, H

2013-08-01

Individual differences in mathematical skills are typically explained by an innate capability to solve mathematical tasks. At the behavioural level this implies a consistent level of mathematical achievement that can be captured by strong relationships between tasks, as well as by a single statistical dimension that underlies performance on all mathematical tasks. To investigate this general assumption, the present study explored interrelations and dimensions of mathematical skills. For this purpose, 68 ten-year-old children from two schools were tested using nine mathematics tasks from the Basic Knowledge in Mathematics Test. Relatively low-to-moderate correlations between the mathematics tasks indicated most tasks shared less than 25% of their variance. There were four principal components, accounting for 70% of the variance in mathematical skill across tasks and participants. The high specificity in mathematical skills was discussed in relation to the principle of task specificity of learning.

Detailing Relational Interactions in Urban Elementary Mathematics Classrooms

ERIC Educational Resources Information Center

Battey, Dan; Neal, Rebecca A.

2018-01-01

The lack of quality of instruction in urban mathematics classrooms in the United States has received much attention in the scholarly literature. Other classroom mechanisms such as relational interactions, however, have not received much attention of mathematics education researchers. Relational interactions go above and beyond content instruction…

Mathematical background and attitudes toward statistics in a sample of Spanish college students.

PubMed

Carmona, José; Martínez, Rafael J; Sánchez, Manuel

2005-08-01

To examine the relation of mathematical background and initial attitudes toward statistics of Spanish college students in social sciences the Survey of Attitudes Toward Statistics was given to 827 students. Multivariate analyses tested the effects of two indicators of mathematical background (amount of exposure and achievement in previous courses) on the four subscales. Analysis suggested grades in previous courses are more related to initial attitudes toward statistics than the number of mathematics courses taken. Mathematical background was related with students' affective responses to statistics but not with their valuing of statistics. Implications of possible research are discussed.

Relationship between academic motivation and mathematics achievement among Indian adolescents in Canada and India.

PubMed

Areepattamannil, Shaljan

2014-01-01

This study examined the relationships between academic motivation-intrinsic motivation, extrinsic motivation, amotivation-and mathematics achievement among 363 Indian adolescents in India and 355 Indian immigrant adolescents in Canada. Results of hierarchical multiple regression analyses showed that intrinsic motivation, extrinsic motivation, and amotivation were not statistically significantly related to mathematics achievement among Indian adolescents in India. In contrast, both intrinsic motivation and extrinsic motivation were statistically significantly related to mathematics achievement among Indian immigrant adolescents in Canada. While intrinsic motivation was a statistically significant positive predictor of mathematics achievement among Indian immigrant adolescents in Canada, extrinsic motivation was a statistically significant negative predictor of mathematics achievement among Indian immigrant adolescents in Canada. Amotivation was not statistically significantly related to mathematics achievement among Indian immigrant adolescents in Canada. Implications of the findings for pedagogy and practice are discussed.

Obstacles Related to Structuring for Mathematization Encountered by Students When Solving Physics Problems

ERIC Educational Resources Information Center

Niss, Martin

2017-01-01

This paper studies the cognitive obstacles related to one aspect of mathematization in physics problem-solving, namely, what might be called "structuring for mathematization," where the problem situation is structured in such a way that a translation to a mathematical universe can be done. We report the results of an analysis of four…

Is There a Causal Relation between Mathematical Creativity and Mathematical Problem-Solving Performance?

ERIC Educational Resources Information Center

Tyagi, Tarun Kumar

2016-01-01

The relationship between mathematical creativity (MC) and mathematical problem-solving performance (MP) has often been studied but the causal relation between these two constructs has yet to be clearly reported. The main purpose of this study was to define the causal relationship between MC and MP. Data from a representative sample of 480…

The Relation between Mathematics and Working Memory in Young Children with Fetal Alcohol Spectrum Disorders

ERIC Educational Resources Information Center

Rasmussen, Carmen; Bisanz, Jeffrey

2011-01-01

The goal of this study was to examine the relation between mathematics and working memory in young children with Fetal Alcohol Spectrum Disorders (FASD). Children with FASD and comparison children (4 to 6 years old) completed standardized tests of mathematics and working memory. Children with FASD showed impairments on mathematics (applied…

The Co-Development and Interrelation of Proof and Authority: The Case of Yana and Ronit

ERIC Educational Resources Information Center

Fried, Michael N.; Amit, Miriam

2008-01-01

Students' mathematical lives are characterized not only by a set of mathematical ideas and the engagement in mathematical thinking, but also by social relations, specifically, relations of authority. Watching student actions and speaking to students, one becomes cognizant of a "web of authority" ever present in mathematics classrooms. In…

Assessing Senior Secondary School Students' Mathematical Proficiency as Related to Gender and Performance in Mathematics in Nigeria

ERIC Educational Resources Information Center

Awofala, Adeneye O. A.

2017-01-01

The study investigated mathematical proficiency as related to gender and performance in mathematics among 400 Nigerian senior secondary school students from 10 elitist senior secondary schools in Lagos State using the quantitative research method within the blueprint of descriptive survey design. Data collected were analysed using the descriptive…

Assessing Preservice Teachers' Mathematics Cognitive Failures as Related to Mathematics Anxiety and Performance in Undergraduate Calculus

ERIC Educational Resources Information Center

Awofala, Adeneye O. A.; Odogwu, Helen N.

2017-01-01

The study investigated mathematics cognitive failures as related to mathematics anxiety, gender and performance in calculus among 450 preservice teachers from four public universities in the South West geo-political zone of Nigeria using the quantitative research method within the blueprint of the descriptive survey design. Data collected were…

Prospective Mathematics Teachers' Ability to Identify Mistakes Related to Angle Concept of Sixth Grade Students

ERIC Educational Resources Information Center

Arslan, Cigdem; Erbay, Hatice Nur; Guner, Pinar

2017-01-01

In the present study we try to highlight prospective mathematics teachers' ability to identify mistakes of sixth grade students related to angle concept. And also we examined prospective mathematics teachers' knowledge of angle concept. Study was carried out with 30 sixth-grade students and 38 prospective mathematics teachers. Sixth grade students…

The Characteristics of Mathematical Creativity

ERIC Educational Resources Information Center

Sriraman, Bharath

2004-01-01

Mathematical creativity ensures the growth of mathematics as a whole. However, the source of this growth, the creativity of the mathematician, is a relatively unexplored area in mathematics and mathematics education. In order to investigate how mathematicians create mathematics, a qualitative study involving five creative mathematicians was…

Examining Mathematics Anxiety in Elementary Classroom Teachers

ERIC Educational Resources Information Center

McAnallen, Rachel R.

2010-01-01

Test anxiety and mathematics anxiety have been found to relate to mathematics performance in both children and adults. This study investigated mathematics anxiety in elementary teachers and whether those who experience mathematics anxiety also have professional anxiety about teaching mathematics. A researcher-developed instrument called the…

Promoting Preservice Teachers' Mathematics Identity Exploration

ERIC Educational Resources Information Center

Heffernan, Kayla

2016-01-01

Despite the effort of teacher education programs, early childhood, and elementary preservice teachers often fear mathematics, have high mathematics anxiety, hold negative self-perceptions in relation to mathematics, find mathematics irrelevant, and have low mathematics achievement. The aim of this study was to implement and investigate the…

Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities

PubMed Central

Chu, Felicia W.; vanMarle, Kristy; Geary, David C.

2016-01-01

One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted reading and mathematics achievement at the end of kindergarten. Preliteracy skills were more strongly related to word reading, whereas sensitivity to relative quantity was more strongly related to mathematics achievement. The overall results indicate that a combination of domain-general and domain-specific abilities contribute to development of children's early mathematics and reading achievement. PMID:27252675

Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities.

PubMed

Chu, Felicia W; vanMarle, Kristy; Geary, David C

2016-01-01

One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted reading and mathematics achievement at the end of kindergarten. Preliteracy skills were more strongly related to word reading, whereas sensitivity to relative quantity was more strongly related to mathematics achievement. The overall results indicate that a combination of domain-general and domain-specific abilities contribute to development of children's early mathematics and reading achievement.

Using confirmatory factor analysis to understand executive control in preschool children: sources of variation in emergent mathematic achievement

PubMed Central

Bull, Rebecca; Espy, Kimberly Andrews; Wiebe, Sandra A.; Sheffield, Tiffany D.; Nelson, Jennifer Mize

2010-01-01

Latent variable modeling methods have demonstrated utility for understanding the structure of executive control (EC) across development. These methods are utilized to better characterize the relation between EC and mathematics achievement in the preschool period, and to understand contributing sources of individual variation. Using the sample and battery of laboratory tasks described in Wiebe, Espy and Charak (2008), latent EC was related strongly to emergent mathematics achievement in preschool, and was robust after controlling for crystallized intellectual skills. The relation between crystallized skills and emergent mathematics differed between girls and boys, although the predictive association between EC and mathematics did not. Two dimensions of the child’s social environment contributed to mathematics achievement: social network support through its relation to EC and environmental stressors through its relation with crystallized skills. These findings underscore the need to examine the dimensions, mechanisms, and individual pathways that influence the development of early competence in basic cognitive processes that underpin early academic achievement. PMID:21676089

Using confirmatory factor analysis to understand executive control in preschool children: sources of variation in emergent mathematic achievement.

PubMed

Bull, Rebecca; Espy, Kimberly Andrews; Wiebe, Sandra A; Sheffield, Tiffany D; Nelson, Jennifer Mize

2011-07-01

Latent variable modeling methods have demonstrated utility for understanding the structure of executive control (EC) across development. These methods are utilized to better characterize the relation between EC and mathematics achievement in the preschool period, and to understand contributing sources of individual variation. Using the sample and battery of laboratory tasks described in Wiebe, Espy and Charak (2008), latent EC was related strongly to emergent mathematics achievement in preschool, and was robust after controlling for crystallized intellectual skills. The relation between crystallized skills and emergent mathematics differed between girls and boys, although the predictive association between EC and mathematics did not. Two dimensions of the child 's social environment contributed to mathematics achievement: social network support through its relation to EC and environmental stressors through its relation with crystallized skills. These findings underscore the need to examine the dimensions, mechanisms, and individual pathways that influence the development of early competence in basic cognitive processes that underpin early academic achievement. © 2010 Blackwell Publishing Ltd.

Mathematics is differentially related to reading comprehension and word decoding: Evidence from a genetically-sensitive design

PubMed Central

Harlaar, Nicole; Kovas, Yulia; Dale, Philip S.; Petrill, Stephen A.; Plomin, Robert

2013-01-01

Although evidence suggests that individual differences in reading and mathematics skills are correlated, this relationship has typically only been studied in relation to word decoding or global measures of reading. It is unclear whether mathematics is differentially related to word decoding and reading comprehension. The current study examined these relationships at both a phenotypic and etiological level in a population-based cohort of 5162 twin pairs at age 12. Multivariate genetic analyses of latent phenotypic factors of mathematics, word decoding and reading comprehension revealed substantial genetic and shared environmental correlations among all three domains. However, the phenotypic and genetic correlations between mathematics and reading comprehension were significantly greater than between mathematics and word decoding. Independent of mathematics, there was also evidence for genetic and nonshared environmental links between word decoding and reading comprehension. These findings indicate that word decoding and reading comprehension have partly distinct relationships with mathematics in the middle school years. PMID:24319294

Mathematics is differentially related to reading comprehension and word decoding: Evidence from a genetically-sensitive design.

PubMed

Harlaar, Nicole; Kovas, Yulia; Dale, Philip S; Petrill, Stephen A; Plomin, Robert

2012-08-01

Although evidence suggests that individual differences in reading and mathematics skills are correlated, this relationship has typically only been studied in relation to word decoding or global measures of reading. It is unclear whether mathematics is differentially related to word decoding and reading comprehension. The current study examined these relationships at both a phenotypic and etiological level in a population-based cohort of 5162 twin pairs at age 12. Multivariate genetic analyses of latent phenotypic factors of mathematics, word decoding and reading comprehension revealed substantial genetic and shared environmental correlations among all three domains. However, the phenotypic and genetic correlations between mathematics and reading comprehension were significantly greater than between mathematics and word decoding. Independent of mathematics, there was also evidence for genetic and nonshared environmental links between word decoding and reading comprehension. These findings indicate that word decoding and reading comprehension have partly distinct relationships with mathematics in the middle school years.

Preschool children's mathematical knowledge: The effect of teacher "math talk.".

PubMed

Klibanoff, Raquel S; Levine, Susan C; Huttenlocher, Janellen; Vasilyeva, Marina; Hedges, Larry V

2006-01-01

This study examined the relation between the amount of mathematical input in the speech of preschool or day-care teachers and the growth of children's conventional mathematical knowledge over the school year. Three main findings emerged. First, there were marked individual differences in children's conventional mathematical knowledge by 4 years of age that were associated with socioeconomic status. Second, there were dramatic differences in the amount of math-related talk teachers provided. Third, and most important, the amount of teachers' math-related talk was significantly related to the growth of preschoolers' conventional mathematical knowledge over the school year but was unrelated to their math knowledge at the start of the school year. Copyright 2006 APA, all rights reserved.

Orientations toward Mathematical Processes of Prospective Secondary Mathematics Teachers as Related to Work with Tasks

ERIC Educational Resources Information Center

Cannon, Tenille

2016-01-01

Mathematics can be conceptualized in different ways. Policy documents such as the National Council of Teachers of Mathematics (NCTM) (2000) and the Common Core State Standards Initiative (CCSSI) (2010), classify mathematics in terms of mathematical content (e.g., quadratic functions, Pythagorean theorem) and mathematical activity in the form of…

Examining Relations between Mathematics Teachers' Instructional Vision and Knowledge and Change in Practice

ERIC Educational Resources Information Center

Munter, Charles; Correnti, Richard

2017-01-01

This article provides a longitudinal examination of how changes in more than 200 middle-grades mathematics teachers' instructional practices related to their (a) mathematical knowledge for teaching (MKT) and (b) instructional vision. Results of this multilevel regression analysis suggest that MKT and instructional vision are related to instruction…

Self-Concept Mediates the Relation between Achievement and Emotions in Mathematics

ERIC Educational Resources Information Center

Van der Beek, Jojanneke P. J.; Van der Ven, Sanne H. G.; Kroesbergen, Evelyn H.; Leseman, Paul P. M.

2017-01-01

Background: Mathematics achievement is related to positive and negative emotions. Pekrun's control-value theory of achievement emotions suggests that students' self-concept (i.e., self-appraisal of ability) may be an important mediator of the relation between mathematics achievement and emotions. Aims: The aims were (1) to investigate the…

Relating Difficulty in School Mathematics to Nature of Mathematics: Perception of High School Students from Kerala

ERIC Educational Resources Information Center

Gafoor, Kunnathodi Abdul; Sarabi, M. K.

2015-01-01

This study relates factors in nature of Mathematics and its teaching learning to student difficulties for diverse mathematics tasks. Descriptive survey was done on a sample of 300 high school students in Kerala with a questionnaire on difficulties in learning. Student perception of difficulty on 26 types of tasks, under five heads that students…

Intentional and automatic numerical processing as predictors of mathematical abilities in primary school children

PubMed Central

Pina, Violeta; Castillo, Alejandro; Cohen Kadosh, Roi; Fuentes, Luis J.

2015-01-01

Previous studies have suggested that numerical processing relates to mathematical performance, but it seems that such relationship is more evident for intentional than for automatic numerical processing. In the present study we assessed the relationship between the two types of numerical processing and specific mathematical abilities in a sample of 109 children in grades 1–6. Participants were tested in an ample range of mathematical tests and also performed both a numerical and a size comparison task. The results showed that numerical processing related to mathematical performance only when inhibitory control was involved in the comparison tasks. Concretely, we found that intentional numerical processing, as indexed by the numerical distance effect in the numerical comparison task, was related to mathematical reasoning skills only when the task-irrelevant dimension (the physical size) was incongruent; whereas automatic numerical processing, indexed by the congruency effect in the size comparison task, was related to mathematical calculation skills only when digits were separated by small distance. The observed double dissociation highlights the relevance of both intentional and automatic numerical processing in mathematical skills, but when inhibitory control is also involved. PMID:25873909

The relationship among mathematics anxiety, beliefs about mathematics, mathematics self-efficacy, and mathematics performance in associate degree nursing students.

PubMed

Walsh, Kathleen A

2008-01-01

This research explored nursing students' mathematics anxiety, beliefs about mathematics, and mathematics self-efficacy in relation to performance on a medication mathematics test. Results revealed that the participants experienced some mathematics anxiety and had positive beliefs about mathematics and mathematics self-efficacy. Qualitative responses indicated that participants worried about the consequences of failing the medication mathematics test and that practice helped reduce this anxiety. In addition, participants acknowledged the importance of correct dosage calculations for nursing practice. Implications for nursing education are discussed.

The Mathematics Education Debates: Preparing Students to Become Professionally Active Mathematics Teachers

ERIC Educational Resources Information Center

Munakata, Mika

2010-01-01

The Mathematics Education Debate is an assignment designed for and implemented in an undergraduate mathematics methods course for prospective secondary school mathematics teachers. For the assignment, students read and analyze current research and policy reports related to mathematics education, prepare and present their positions, offer…

Mathematization Competencies of Pre-Service Elementary Mathematics Teachers in the Mathematical Modelling Process

ERIC Educational Resources Information Center

Yilmaz, Suha; Tekin-Dede, Ayse

2016-01-01

Mathematization competency is considered in the field as the focus of modelling process. Considering the various definitions, the components of the mathematization competency are determined as identifying assumptions, identifying variables based on the assumptions and constructing mathematical model/s based on the relations among identified…

State and trait effects on individual differences in children's mathematical development.

PubMed

Bailey, Drew H; Watts, Tyler W; Littlefield, Andrew K; Geary, David C

2014-11-01

Substantial longitudinal relations between children's early mathematics achievement and their much later mathematics achievement are firmly established. These findings are seemingly at odds with studies showing that early educational interventions have diminishing effects on children's mathematics achievement across time. We hypothesized that individual differences in children's later mathematical knowledge are more an indicator of stable, underlying characteristics related to mathematics learning throughout development than of direct effects of early mathematical competency on later mathematical competency. We tested this hypothesis in two longitudinal data sets, by simultaneously modeling effects of latent traits (stable characteristics that influence learning across time) and states (e.g., prior knowledge) on children's mathematics achievement over time. Latent trait effects on children's mathematical development were substantially larger than state effects. Approximately 60% of the variance in trait mathematics achievement was accounted for by commonly used control variables, such as working memory, but residual trait effects remained larger than state effects. Implications for research and practice are discussed. © The Author(s) 2014.

State and Trait Effects on Individual Differences in Children's Mathematical Development

PubMed Central

Bailey, Drew H.; Watts, Tyler W.; Littlefield, Andrew K.; Geary, David C.

2015-01-01

Substantial longitudinal relations between children's early mathematics achievement and their much later mathematics achievement are firmly established. These findings are seemingly at odds with studies showing that early educational interventions have diminishing effects on children's mathematics achievement across time. We hypothesized that individual differences in children's later mathematical knowledge are more an indicator of stable, underlying characteristics related to mathematics learning throughout development than of direct effects of early mathematical competency on later mathematical competency. We tested this hypothesis in two longitudinal data sets, by simultaneously modeling effects of latent traits (stable characteristics that influence learning across time) and states (e.g., prior knowledge) on children's mathematics achievement over time. Latent trait effects on children's mathematical development were substantially larger than state effects. Approximately 60% of the variance in trait mathematics achievement was accounted for by commonly used control variables, such as working memory, but residual trait effects remained larger than state effects. Implications for research and practice are discussed. PMID:25231900

Foundations of mathematics and literacy: The role of executive functioning components.

PubMed

Purpura, David J; Schmitt, Sara A; Ganley, Colleen M

2017-01-01

The current study investigated the relations between the three cognitive processes that comprise executive functioning (EF)-response inhibition, working memory, and cognitive flexibility-and individual components of mathematics and literacy skills in preschool children. Participants were 125 preschool children ranging in age from 3.12 to 5.26years (M=4.17years, SD=0.58). Approximately 53.2% were female, and the sample was predominantly Caucasian (69.8%). Results suggest that the components of EF may be differentially related to the specific components of early mathematics and literacy. For mathematics, response inhibition was broadly related to most components. Working memory was related to more advanced mathematics skills that involve comparison or combination of numbers and quantities. Cognitive flexibility was related to more conceptual or abstract mathematics skills. For early literacy, response inhibition and cognitive flexibility were related to print knowledge, and working memory was related only to phonological awareness. None of the EF components was related to vocabulary. These findings provide initial evidence for better understanding the ways in which EF components and academic skills are related and measured. Furthermore, the findings provide a foundation for further study of the components of each domain using a broader and more diverse array of measures. Copyright © 2016 Elsevier Inc. All rights reserved.

Attitudinal and Motivational Variables Related to Mathematics Achievement in Jordan: Findings from the Third International Mathematics and Science Study (TIMSS)

ERIC Educational Resources Information Center

Hammouri, Hind

2004-01-01

The purpose of the present study was to examine the effects of student-related variables on achievement in mathematics. The sample consisted of 3736 13-year-old Jordanian 8th-graders who participated in the Third International Mathematics and Science Study (TIMSS). The participants completed a student questionnaire and participated in the…

Peirce's Philosophy of Mathematical Education: Fostering Reasoning Abilities for Mathematical Inquiry

ERIC Educational Resources Information Center

Campos, Daniel G.

2010-01-01

I articulate Charles S. Peirce's philosophy of mathematical education as related to his conception of mathematics, the nature of its method of inquiry, and especially, the reasoning abilities required for mathematical inquiry. The main thesis is that Peirce's philosophy of mathematical education primarily aims at fostering the development of the…

African American Mathematics Teachers as Agents in Their African American Students' Mathematics Identity Formation

ERIC Educational Resources Information Center

Clark, Lawrence M.; Badertscher, Eden M.; Napp, Carolina

2013-01-01

Background/Context: Recent research in mathematics education has employed sociocultural and historical lenses to better understand how students experience school mathematics and come to see themselves as capable mathematics learners. This work has identified mathematics classrooms as places where power struggles related to students'…

Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches

ERIC Educational Resources Information Center

Erbas, Ayhan Kürsat; Kertil, Mahmut; Çetinkaya, Bülent; Çakiroglu, Erdinç; Alacaci, Cengiz; Bas, Sinem

2014-01-01

Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related concepts, along with differing perspectives on the use of mathematical modeling in teaching and…

Elementary Pre-Service Teachers' Mathematics Anxiety and Mathematics Teaching Anxiety

ERIC Educational Resources Information Center

Haciomeroglu, Guney

2014-01-01

The present study examined the structure of elementary pre-service teachers' mathematics anxiety and mathematics teaching anxiety by asking whether the two systems of anxiety are related. The Turkish Mathematics Anxiety Rating Scale Short Version and the Mathematics Teaching Anxiety Scale were administered to 260 elementary pre-service teachers.…

Teaching Mathematical Modeling in Mathematics Education

ERIC Educational Resources Information Center

Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant

2016-01-01

Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

Adolescents' perceptions of socializers' beliefs, career-related conversations, and motivation in mathematics.

PubMed

Lazarides, Rebecca; Rubach, Charlott; Ittel, Angela

2017-03-01

Research based on the Eccles model of parent socialization demonstrated that parents are an important source of value and ability information for their children. Little is known, however, about the bidirectional effects between students' perceptions of their parents' beliefs and behaviors and the students' own domain-specific values. This study analyzed how students' perceptions of parents' beliefs and behaviors and students' mathematics values and mathematics-related career plans affect each other bidirectionally, and analyzed the role of students' gender as a moderator of these relations. Data from 475 students in 11th and 12th grade (girls: 50.3%; 31 classrooms; 12 schools), who participated in 2 waves of the study, were analyzed. Results of longitudinal structural equation models demonstrated that students' perceptions of their parents' mathematics value beliefs at Time 1 affected the students' own mathematics utility value at Time 2. Bidirectional effects were not shown in the full sample but were identified for boys. The paths within the tested model varied for boys and girls. For example, boys', not girls', mathematics intrinsic value predicted their reported conversations with their fathers about future occupational plans. Boys', not girls', perceived parents' mathematics value predicted the mathematics utility value. Findings are discussed in relation to their implications for parents and teachers, as well as in relation to gendered motivational processes. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

The contribution of executive functions to emergent mathematic skills in preschool children.

PubMed

Espy, Kimberly Andrews; McDiarmid, Melanie M; Cwik, Mary F; Stalets, Melissa Meade; Hamby, Arlena; Senn, Theresa E

2004-01-01

Mathematical ability is related to both activation of the prefrontal cortex in neuroimaging studies of adults and to executive functions in school-age children. The purpose of this study was to determine whether executive functions were related to emergent mathematical proficiency in preschool children. Preschool children (N = 96) were administered an executive function battery that was reduced empirically to working memory (WM), inhibitory control (IC), and shifting abilities by calculating composite scores derived from principal component analysis. Both WM and IC predicted early arithmetic competency, with the observed relations robust after controlling statistically for child age, maternal education, and child vocabulary. Only IC accounted for unique variance in mathematical skills, after the contribution of other executive functions were controlled statistically as well. Specific executive functions are related to emergent mathematical proficiency in this age range. Longitudinal studies using structural equation modeling are necessary to better characterize these ontogenetic relations.

Twenty Years Later: High School Students Who Showed Promise in Mathematics.

ERIC Educational Resources Information Center

Turner, Nura D.

1981-01-01

Data from longitudinal studies of high school students who took the Annual High School Mathematics Examination sponsored by the Mathematical Association of America (MAA) indicate that 56 percent of the top achievers pursued careers in mathematics or mathematically related fields. (MP)

Girls, Moms, and Math: A Study of the Relationship of Self and Maternal Attitudes towards Mathematics and Girls' Mathematical Success in an Affluent Suburban Community

ERIC Educational Resources Information Center

DeRosa, Ann T.

2011-01-01

This study focused on gender-based mathematics performance. It was a qualitative study of girls and their mothers conducted to identify variables that may to be associated with the success or lack of success of the girls. By examining maternal responses to mathematics-related questions, themes emerged that could be related to information gathered…

Is There a Relationship between Pre-Service Teachers' Mathematical Values and Their Teaching Anxiety in Mathematics?

ERIC Educational Resources Information Center

Yazici, Ersen; Peker, Murat; Ertekin, Erhan; Dilmac, Bulent

2011-01-01

Introduction: The aim of this study is to investigate the relation between the pre-service teachers' mathematical values and teaching anxieties in mathematics. Method: The research was carried out on 359 teacher candidates attending the elementary school mathematics, secondary school mathematics and primary school teaching programs. To this end,…

A Structural Analysis on Korean Young Children's Mathematical Ability and Its Related Children's and Mothers' Variables

ERIC Educational Resources Information Center

Lee, Hye Jung; Kim, Jihyun

2016-01-01

The objective of this study is to examine the structural relationships among variables that predict the mathematical ability of young children, namely young children's mathematical attitude, exposure to private mathematical learning, mothers' view about their children's mathematical learning, and mothers' mathematical attitude. To this end, we…

From Searle's Chinese Room to the Mathematics Classroom: Technical and Cognitive Mathematics

ERIC Educational Resources Information Center

Gavalas, Dimitris

2007-01-01

Employing Searle's views, I begin by arguing that students of Mathematics behave similarly to machines that manage symbols using a set of rules. I then consider two types of Mathematics, which I call "Cognitive Mathematics" and "Technical Mathematics" respectively. The former type relates to concepts and meanings, logic and sense, whilst the…

Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of the "Responsive Classroom Approach"

ERIC Educational Resources Information Center

Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.

2015-01-01

This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…

Achievement of Eighth-Grade Students in Korea on the TIMSS 2011 Assessment: Effects of Confidence in Mathematics and Engagement in Mathematics Lessons

ERIC Educational Resources Information Center

House, J. Daniel; Telese, James A.

2016-01-01

Research studies have identified several factors related to mathematics achievement of students in Korea. Further, results from the Trends in International Mathematics and Science Study (TIMSS) assessments have shown that instructional practices and beliefs about mathematics were significantly associated with mathematics achievement of students in…

Relations between Mathematical Knowledge for Teaching, Mathematics Instructional Quality, and Student Achievement in the Context of the "Responsive Classroom (RC)" Approach

ERIC Educational Resources Information Center

Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross; Merritt, Eileen G.

2011-01-01

Despite over thirty years of theoretically based research investigating "how" teacher mathematical knowledge and instructional practice relate to student learning, it is still largely unclear how these constructs are related, and policy makers and practitioners are still situated in a context with insufficient data to make decisions. Thus, there…

Literacy in Language and Mathematics: More in Common Than You Think

ERIC Educational Resources Information Center

Thompson, Denisse R.; Rubenstein, Rheta N.

2014-01-01

This paper shares perspectives on literacy in mathematics, particularly highlighting commonalities with literacy in language arts. We discuss levels of language development appropriate for the mathematics classroom, issues related to mathematical definitions, implied meanings in many mathematics concepts, and the importance of justification. We…

Mathematical Caring Relations: A Challenging Case

ERIC Educational Resources Information Center

Hackenberg, Amy

2010-01-01

Developed from Noddings's (2002) care theory, von Glasersfeld's (1995) constructivism, and Ryan and Frederick's (1997) notion of subjective vitality, a mathematical caring relation (MCR) is a quality of interaction between a student and a mathematics teacher that conjoins affective and cognitive realms in the process of aiming for mathematical…

Construction Industry Related Mathematics: Seventh Grade.

ERIC Educational Resources Information Center

Mundell, Scott

The field tested construction industry-related mathematics unit is intended to familiarize seventh grade students with various facets of the construction industry, including the various occupations available and the mathematical abilities and other skills and training necessary to pursue an occupation in the industry. The final set of activities…

"Effective" Mathematics Teaching of African American Adolescents and the Development of a Mathematics Identity

ERIC Educational Resources Information Center

Green, Marcus Allen

2016-01-01

In order to increase mathematics achievement, persistence, and participation in mathematics-related careers and majors for African American adolescents, researchers have discussed the need for students to develop positive mathematical identities (English-Clarke, Slaughter-Defoe, & Martin, 2012; Gutstein, 2003; Larnell, 2013; Martin, 2000,…

Abstraction in Mathematics and Mathematics Learning

ERIC Educational Resources Information Center

Mitchelmore, Michael; White, Paul

2004-01-01

It is claimed that, since mathematics is essentially a self-contained system, mathematical objects may best be described as "abstract-apart." On the other hand, fundamental mathematical ideas are closely related to the real world and their learning involves empirical concepts. These concepts may be called "abstract-general" because they embody…

The Mathematical Sciences: A Report.

ERIC Educational Resources Information Center

National Academy of Sciences, Washington, DC.

Presented are position statements for the support of the mathematical sciences and a description of the present state of both research and education in mathematics and related disciplines. The report calls attention to the penetration of mathematics and mathematical modes of thought into many new areas of scholarship and the resultant increase in…

Locating Mathematics within Post-16 Vocational Education in England

ERIC Educational Resources Information Center

Dalby, Diane; Noyes, Andrew

2016-01-01

The political importance of mathematics in post-16 education is clear. Far less clear is how mathematics does and should relate to vocational education. Successive mathematics curricula (e.g. core skills, key skills) have been developed in England with vocational learners in mind. Meanwhile, general mathematics qualifications remain largely…

Why Do Early Mathematics Skills Predict Later Reading? The Role of Mathematical Language

ERIC Educational Resources Information Center

Purpura, David J.; Logan, Jessica A. R.; Hassinger-Das, Brenna; Napoli, Amy R.

2017-01-01

A growing body of evidence indicates that the development of mathematics and literacy skills is highly related. The importance of literacy skills--specifically language--for mathematics development has been well rationalized. However, despite several prominent studies indicating that mathematics skills are highly predictive of literacy…

Longitudinal Associations between Executive Control and Developing Mathematical Competence in Preschool Boys and Girls

PubMed Central

Clark, Caron A.C.; Sheffield, Tiffany D.; Wiebe, Sandra A.; Espy, Kimberly Andrews

2012-01-01

Executive control (EC) is related to mathematics performance in middle childhood. However, little is known regarding how EC and informal numeracy differentially support mathematics skill acquisition in preschoolers. A sample of preschoolers (115 girls, 113 boys), stratified by social risk, completed an EC task battery at 3 years, informal numeracy assessments at 3.75 and 4.5 years, and a broad mathematics assessment during kindergarten. Strong associations were observed between latent EC at 3 and mathematics achievement in kindergarten, which remained robust after accounting for earlier informal numeracy, socio-economic status, language and processing speed. Relations between EC and mathematics achievement were stronger in girls than boys. Findings highlight the unique role of EC in predicting which children may have difficulty transitioning to formal mathematics instruction. PMID:23006040

When Do Girls Prefer Football to Fashion? An Analysis of Female Underachievement in Relation to "Realistic" Mathematics Context.

ERIC Educational Resources Information Center

Boaler, Jo

1994-01-01

Reports on a study of the move away from abstract calculations toward "mathematics in context" among 50 British female secondary school students. Discusses implications of findings in relation to reported female underachievement and disinterest in school mathematics. (CFR)

Preservice Mathematics Teachers' Experiences about Function and Equation Concepts

ERIC Educational Resources Information Center

Dede, Yuksel; Soybas, Danyal

2011-01-01

The purpose of this study is to determine the experience of mathematics preservice teachers related to function and equation concepts and the relations between them. Determining preservice mathematics teachers' understanding of function and equation concepts has great importance since it directly affects their future teaching careers. Data were…

On Relative and Absolute Conviction in Mathematics

ERIC Educational Resources Information Center

Weber, Keith; Mejia-Ramos, Juan Pablo

2015-01-01

Conviction is a central construct in mathematics education research on justification and proof. In this paper, we claim that it is important to distinguish between absolute conviction and relative conviction. We argue that researchers in mathematics education frequently have not done so and this has lead to researchers making unwarranted claims…

Mathematical Thinking: Challenging Prospective Teachers to Do More than "Talk the Talk"

ERIC Educational Resources Information Center

Prendergast, Mark; Johnson, Patrick; Fitzmaurice, Olivia; Liston, Miriam; O'Keeffe, Lisa; O'Meara, Niamh

2014-01-01

This paper reports on a research project which aims to improve prospective mathematics teachers' relational understanding and pedagogical beliefs for teaching in second-level Irish classrooms. Prospective mathematics teachers complete their teacher education training with varying pedagogical beliefs, and often little relational understanding of…

An Investigation of Elementary Preservice Teachers' Self-Efficacy for Teaching Mathematics

ERIC Educational Resources Information Center

Giles, Rebecca McMahon; Byrd, Kelly O.; Bendolph, Angelia

2016-01-01

Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers' self-efficacy beliefs related to teaching mathematics. Forty-one…

Origins of the brain networks for advanced mathematics in expert mathematicians

PubMed Central

Amalric, Marie; Dehaene, Stanislas

2016-01-01

The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit. PMID:27071124

Origins of the brain networks for advanced mathematics in expert mathematicians.

PubMed

Amalric, Marie; Dehaene, Stanislas

2016-05-03

The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.

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

Mathematics Self-Efficacy and Mistake-Handling Learning as Predictors of Mathematics Anxiety

ERIC Educational Resources Information Center

Aksu, Zeki; Ozkaya, Merve; Gedik, Solmaz Damla; Konyalioglu, Alper Cihan

2016-01-01

This study aims to analyze the relationship between secondary school seventh grade students' perception of mathematical self-efficacy, mistake-handling learning awareness, and mathematical anxiety; and to define the power of mistake-handling learning and self-efficacy in predicting mathematical anxiety. In this study, relational model was used and…

The Use of Teachers' Baseline Normative Beliefs to Guide Professional Development in Teaching Mathematics

ERIC Educational Resources Information Center

Lloyd, Mary Elizabeth Riley; Veal, William; Howell, Malia

2016-01-01

This article describes the normative beliefs and the discursive claims related to mathematics and teaching mathematics made by approximately 50 middle-level and secondary mathematics teachers within four high-need local education associations participating in a Mathematics and Science Partnership with a southeastern college's Science and Math for…

Pre-Service Teachers' Mathematics Language and Reflection in the Context of an Early Childhood Mathematics Methods Course

ERIC Educational Resources Information Center

Boyd, Soleil

2016-01-01

Preschool teachers are expected to engage young children in challenging and supportive mathematics learning. Rich and responsive language experiences in mathematics support children's language acquisition and engagement related to mathematics, however, such engaging experiences may be minimally available to many young children. Professional…

Transfer of Algebraic and Graphical Thinking between Mathematics and Chemistry

ERIC Educational Resources Information Center

Potgieter, Marietjie; Harding, Ansie; Engelbrecht, Johann

2008-01-01

Students in undergraduate chemistry courses find, as a rule, topics with a strong mathematical basis difficult to master. In this study we investigate whether such mathematically related problems are due to deficiencies in their mathematics foundation or due to the complexity introduced by transfer of mathematics to a new scientific domain. In the…

Are Disadvantaged Students Given Equal Opportunities to Learn Mathematics? PISA in Focus. No. 63

ERIC Educational Resources Information Center

OECD Publishing, 2016

2016-01-01

Socio-economically advantaged and disadvantaged students are not equally exposed to mathematics problems and concepts at school. Exposure to mathematics at school has an impact on performance, and disadvantaged students' relative lack of familiarity with mathematics partly explains their lower performance. Widening access to mathematics content…

Increasing Awareness of Practice through Interaction across Communities: The Lived Experiences of a Mathematician and Mathematics Teacher Educator

ERIC Educational Resources Information Center

Bleiler, Sarah K.

2015-01-01

Collaborations between mathematicians and mathematics teacher educators are increasingly being expected, and realized, within the context of mathematics teacher education. Most research related to collaborative efforts between members of the mathematics and mathematics education communities has focused on the products, rather than the process of…

Early Number Skills Gains and Mathematics Achievement: Intervening to Establish Successful Early Mathematics Trajectories

ERIC Educational Resources Information Center

Shanley, Lina; Clarke, Ben; Doabler, Christian T.; Kurtz-Nelson, Evangeline; Fien, Hank

2017-01-01

Early number skills, comprised of both informal and formal skills, are associated with later mathematics achievement. Thus, the development of foundational early number skills is an important aspect of early mathematics instruction. This study explored relations between early number skills gains and mathematics achievement for students at risk for…

Symbolic Drawings Reveal Changes in Preservice Teacher Mathematics Attitudes after a Mathematics Methods Course

ERIC Educational Resources Information Center

Rule, Audrey C.; Harrell, Mary H.

2006-01-01

A new method of analyzing mathematics attitudes through symbolic drawings, situated within the field of Jungian-oriented analytical psychology, was applied to 52 preservice elementary teachers before and after a mathematics methods course. In this triangulation mixed methods design study, pretest images related to past mathematics experiences…

Content Analysis of Jordanian Elementary Textbooks during 1970-2013 as Case Study

ERIC Educational Resources Information Center

Abed, Eman Rasmi; Al-Absi, Mohammad Mustafa

2015-01-01

This study aims to determine types of mathematic disciplines (in term of topics) in Jordanian Elementary textbooks. This study evaluates mathematics text books especially in the period between 1970 and 2013 and identifies types and quantities of mathematics. To examine the relative quantity of mathematics, branches of mathematics, presentation…

The study of middle school mathematics and science teachers' practices, perceptions, and attitudes related to mathematics and science integration

NASA Astrophysics Data System (ADS)

Leszczynski, Eliza

The purpose of this qualitative study was to investigate the nature of mathematics and science connections made by sixth and seventh grade mathematics and science teachers in their classrooms. This study also examined the extent to which these connections represented mathematics and science integration and described the teachers' perceptions of and attitudes about mathematics and science integration. The primary data sources included classroom observations and teacher interviews. Findings suggested that teacher practices in making mathematics and science connections in the classroom incorporated many of the characteristics of integrated instruction presented in the literature. Teacher attitudes toward integration were found to be generally positive and supportive of integrated instruction. Mathematics teachers shared a common perception of integration being two separate lessons taught together in one lesson. In contrast, science teachers perceived integration to be a seamless blend of the two disciplines. The researcher related these perceptions and attitudes to the teachers' past experiences with mathematics and science connections and integration, and also to their practices of mathematics and science connections in the study.

Early Career Elementary Mathematics Teachers' Noticing Related to Language and Language Learners

ERIC Educational Resources Information Center

Turner, Erin Elizabeth; McDuffie, Amy Roth; Sugimoto, Amanda Tori; Stoehr, Kathleen Jablon; Witters, Angela; Aguirre, Julia; Bartell, Tonya; Drake, Corey; Foote, Mary Q.

2016-01-01

There has been limited attention to early career teachers' (ECTs) understandings and practices related to language in teaching and learning mathematics. In this qualitative case study, we drew upon frameworks for teacher noticing to study the language practices of six early career elementary and middle school mathematics teachers. We describe…

Insurance and Mathematics: Developing Democratic Citizenship through Interdisciplinary Approaches to Contemporary Issues

ERIC Educational Resources Information Center

Misco, Thomas; Lee, Lena; Malone, Kevin; Goley, G. Steven; Seabolt, Phaedra

2012-01-01

Insurance is an interesting interdisciplinary topic that can offer generative meaning and relevance for students. By adapting real life examples and authentic simulations, mathematical concepts can be applied to insurance-related social studies issues and content. This article explores ways to teach insurance and related mathematical concepts to…

Are Taiwanese and Singaporean Future Teachers Similar in Their Mathematics-Related Teaching Competencies?

ERIC Educational Resources Information Center

Hsieh, Feng-Jui; Wong, Khoon Yoong; Wang, Ting-Ying

2013-01-01

This study investigates the similarities and differences of mathematics-related teaching competencies between the future secondary school teachers of Taiwan and Singapore by using data from the international Teacher Education and Development Study in Mathematics (TEDS-M), organized by the International Association for the Evaluation of Educational…

Early numerical foundations of young children's mathematical development.

PubMed

Chu, Felicia W; vanMarle, Kristy; Geary, David C

2015-04-01

This study focused on the relative contributions of the acuity of the approximate number system (ANS) and knowledge of quantitative symbols to young children's early mathematical learning. At the beginning of preschool, 191 children (Mage=46 months) were administered tasks that assessed ANS acuity and explicit knowledge of the cardinal values represented by number words, and their mathematics achievement was assessed at the end of the school year. Children's executive functions, intelligence, and preliteracy skills and their parents' educational levels were also assessed and served as covariates. Both the ANS and cardinality tasks were significant predictors of end-of-year mathematics achievement with and without control of the covariates. As simultaneous predictors and with control of the covariates, cardinality remained significantly related to mathematics achievement, but ANS acuity did not. Mediation analyses revealed that the relation between ANS acuity and mathematics achievement was fully mediated by cardinality, suggesting that the ANS may facilitate children's explicit understanding of cardinal value and in this way may indirectly influence early mathematical learning. Copyright © 2015 Elsevier Inc. All rights reserved.

Rainforest Mathematics

ERIC Educational Resources Information Center

Kilpatrick, Jeremy

2014-01-01

This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…

Countries with Higher Levels of Gender Equality Show Larger National Sex Differences in Mathematics Anxiety and Relatively Lower Parental Mathematics Valuation for Girls

PubMed Central

2016-01-01

Despite international advancements in gender equality across a variety of societal domains, the underrepresentation of girls and women in Science, Technology, Engineering, and Mathematics (STEM) related fields persists. In this study, we explored the possibility that the sex difference in mathematics anxiety contributes to this disparity. More specifically, we tested a number of predictions from the prominent gender stratification model, which is the leading psychological theory of cross-national patterns of sex differences in mathematics anxiety and performance. To this end, we analyzed data from 761,655 15-year old students across 68 nations who participated in the Programme for International Student Assessment (PISA). Most importantly and contra predictions, we showed that economically developed and more gender equal countries have a lower overall level of mathematics anxiety, and yet a larger national sex difference in mathematics anxiety relative to less developed countries. Further, although relatively more mothers work in STEM fields in more developed countries, these parents valued, on average, mathematical competence more in their sons than their daughters. The proportion of mothers working in STEM was unrelated to sex differences in mathematics anxiety or performance. We propose that the gender stratification model fails to account for these national patterns and that an alternative model is needed. In the discussion, we suggest how an interaction between socio-cultural values and sex-specific psychological traits can better explain these patterns. We also discuss implications for policies aiming to increase girls’ STEM participation. PMID:27100631

Countries with Higher Levels of Gender Equality Show Larger National Sex Differences in Mathematics Anxiety and Relatively Lower Parental Mathematics Valuation for Girls.

PubMed

Stoet, Gijsbert; Bailey, Drew H; Moore, Alex M; Geary, David C

2016-01-01

Despite international advancements in gender equality across a variety of societal domains, the underrepresentation of girls and women in Science, Technology, Engineering, and Mathematics (STEM) related fields persists. In this study, we explored the possibility that the sex difference in mathematics anxiety contributes to this disparity. More specifically, we tested a number of predictions from the prominent gender stratification model, which is the leading psychological theory of cross-national patterns of sex differences in mathematics anxiety and performance. To this end, we analyzed data from 761,655 15-year old students across 68 nations who participated in the Programme for International Student Assessment (PISA). Most importantly and contra predictions, we showed that economically developed and more gender equal countries have a lower overall level of mathematics anxiety, and yet a larger national sex difference in mathematics anxiety relative to less developed countries. Further, although relatively more mothers work in STEM fields in more developed countries, these parents valued, on average, mathematical competence more in their sons than their daughters. The proportion of mothers working in STEM was unrelated to sex differences in mathematics anxiety or performance. We propose that the gender stratification model fails to account for these national patterns and that an alternative model is needed. In the discussion, we suggest how an interaction between socio-cultural values and sex-specific psychological traits can better explain these patterns. We also discuss implications for policies aiming to increase girls' STEM participation.

Developing My Mathematics Identity

ERIC Educational Resources Information Center

Gonzalez, Lidia

2016-01-01

Assuming the role of storyteller, the author uses her experiences as a graduate student and beginning teacher to reflect critically on issues related to mathematics, mathematics education, gender, and diversity.

Do Inequalities in Parents' Education Play an Important Role in PISA Students' Mathematics Achievement Test Score Disparities?

ERIC Educational Resources Information Center

Martins, Lurdes; Veiga, Paula

2010-01-01

This paper measures and decomposes socioeconomic-related inequality in mathematics achievement in 15 European Union member states. Data is taken from the 2003 wave of the OECD Programme for International Student Assessment (PISA). There is socioeconomic-related inequality in mathematics achievement, favoring the higher socioeconomic groups in each…

The Factors Related to Preschool Children and Their Mothers on Children's Intuitional Mathematics Abilities

ERIC Educational Resources Information Center

Guven, Yildiz

2009-01-01

The aim of this study is to assess the factors that are related to preschool children and their mothers on children's intuitional mathematics abilities. Results of the study showed that there were significant differences in children's intuitional mathematics abilities when children are given the opportunity to think intuitionally and to make…

The Effect of Inhibitory Control on General Mathematics Achievement and Fraction Comparison in Middle School Children

ERIC Educational Resources Information Center

Gómez, David Maximiliano; Jiménez, Abelino; Bobadilla, Roberto; Reyes, Cristián; Dartnell, Pablo

2015-01-01

Individual differences in inhibitory control have been shown to relate to general mathematics achievement, but whether this relation varies for specific areas within mathematics is a question that remains open. Here, we evaluate if inhibitory processes play a specific role in the particular case of fraction comparison, where learners must ignore…

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…

Comparison of the Mathematics Expectations Related to Number and Quantity for Student Learning

ERIC Educational Resources Information Center

Chen, Jung-chih; Chen, Chia-huang

2011-01-01

In the study reported here, the authors examined the LEs (learning expectations) related to Grades 1 to 8 number and quantity in mathematics across several US states and high performing TIMSS (Third International Mathematics and Science Study) Asian countries, including Singapore, Taiwan and Japan. The general strategy used is based on the topic…

Sex Differences in Mathematics and Reading Achievement Are Inversely Related: Within- and Across-Nation Assessment of 10 Years of PISA Data

PubMed Central

Stoet, Gijsbert; Geary, David C.

2013-01-01

We analyzed one decade of data collected by the Programme for International Student Assessment (PISA), including the mathematics and reading performance of nearly 1.5 million 15 year olds in 75 countries. Across nations, boys scored higher than girls in mathematics, but lower than girls in reading. The sex difference in reading was three times as large as in mathematics. There was considerable variation in the extent of the sex differences between nations. There are countries without a sex difference in mathematics performance, and in some countries girls scored higher than boys. Boys scored lower in reading in all nations in all four PISA assessments (2000, 2003, 2006, 2009). Contrary to several previous studies, we found no evidence that the sex differences were related to nations’ gender equality indicators. Further, paradoxically, sex differences in mathematics were consistently and strongly inversely correlated with sex differences in reading: Countries with a smaller sex difference in mathematics had a larger sex difference in reading and vice versa. We demonstrate that this was not merely a between-nation, but also a within-nation effect. This effect is related to relative changes in these sex differences across the performance continuum: We did not find a sex difference in mathematics among the lowest performing students, but this is where the sex difference in reading was largest. In contrast, the sex difference in mathematics was largest among the higher performing students, and this is where the sex difference in reading was smallest. The implication is that if policy makers decide that changes in these sex differences are desired, different approaches will be needed to achieve this for reading and mathematics. Interventions that focus on high-achieving girls in mathematics and on low achieving boys in reading are likely to yield the strongest educational benefits. PMID:23516422

Sex differences in mathematics and reading achievement are inversely related: within- and across-nation assessment of 10 years of PISA data.

PubMed

Stoet, Gijsbert; Geary, David C

2013-01-01

We analyzed one decade of data collected by the Programme for International Student Assessment (PISA), including the mathematics and reading performance of nearly 1.5 million 15 year olds in 75 countries. Across nations, boys scored higher than girls in mathematics, but lower than girls in reading. The sex difference in reading was three times as large as in mathematics. There was considerable variation in the extent of the sex differences between nations. There are countries without a sex difference in mathematics performance, and in some countries girls scored higher than boys. Boys scored lower in reading in all nations in all four PISA assessments (2000, 2003, 2006, 2009). Contrary to several previous studies, we found no evidence that the sex differences were related to nations' gender equality indicators. Further, paradoxically, sex differences in mathematics were consistently and strongly inversely correlated with sex differences in reading: Countries with a smaller sex difference in mathematics had a larger sex difference in reading and vice versa. We demonstrate that this was not merely a between-nation, but also a within-nation effect. This effect is related to relative changes in these sex differences across the performance continuum: We did not find a sex difference in mathematics among the lowest performing students, but this is where the sex difference in reading was largest. In contrast, the sex difference in mathematics was largest among the higher performing students, and this is where the sex difference in reading was smallest. The implication is that if policy makers decide that changes in these sex differences are desired, different approaches will be needed to achieve this for reading and mathematics. Interventions that focus on high-achieving girls in mathematics and on low achieving boys in reading are likely to yield the strongest educational benefits.

Astronomy and Mathematics Education

NASA Astrophysics Data System (ADS)

Ros, Rosa M.

There are many European countries where Astronomy does not appear as a specific course on the secondary school. In these cases Astronomy content can be introduced by means of other subjects. There are some astronomical topics within the subject of Physics but this talk concerns introducing Astronomy in Mathematics classes. Teaching Astronomy through Mathematics would result in more exposure than through Physics as Mathematics is more prevalent in the curriculum. Generally it is not easy to motivate students in Mathematics but they are motivated to find out more about the universe and Astronomy current events than appears in the media. This situation can be an excellent introduction to several mathematics topics. The teachers in secondary and high school can use this idea in order to present more attractive mathematics courses. In particular some different examples will be offered regarding * Angles and spherical coordinates considering star traces * Logarithms and visual magnitudes * Plane trigonometry related orbital movements * Spherical trigonometry in connection with ecliptic obliquity * Conic curves related to sundial at several latitudes Some students do not enjoy studying Mathematics but they can be attracted by practical situations using Applied Mathematics: Astronomy is always very attractive to teenagers.

Children’s visuospatial memory predicts mathematics achievement through early adolescence

PubMed Central

Li, Yaoran

2017-01-01

A previous study showed that gains in visuospatial memory from first to fifth grade predicted end-of-fifth grade mathematics but not reading achievement, controlling other factors. In this follow up study, these relations were assessed from sixth to ninth grade, inclusive (n = 145). The results showed that growth in visuospatial memory across the elementary school years was related to growth in mathematics achievement after fifth grade, controlling intelligence, the central executive and phonological memory components of working memory, in-class attentive behavior, parental education, and fifth grade mathematics achievement. As found for fifth grade, this relation was not found for reading achievement after fifth grade. In total, the results suggest that visuospatial memory has a unique influence on ease of learning some types of mathematics and that this influence becomes more important across successive grades. PMID:28192484

Children's visuospatial memory predicts mathematics achievement through early adolescence.

PubMed

Li, Yaoran; Geary, David C

2017-01-01

A previous study showed that gains in visuospatial memory from first to fifth grade predicted end-of-fifth grade mathematics but not reading achievement, controlling other factors. In this follow up study, these relations were assessed from sixth to ninth grade, inclusive (n = 145). The results showed that growth in visuospatial memory across the elementary school years was related to growth in mathematics achievement after fifth grade, controlling intelligence, the central executive and phonological memory components of working memory, in-class attentive behavior, parental education, and fifth grade mathematics achievement. As found for fifth grade, this relation was not found for reading achievement after fifth grade. In total, the results suggest that visuospatial memory has a unique influence on ease of learning some types of mathematics and that this influence becomes more important across successive grades.

From Anxiety as a Psychological and Biological Phenomenon to Mathematics Anxiety: A Theoretical Approach

ERIC Educational Resources Information Center

Moreno-García, Elena; García-Santillán, Arturo; Molchanova, Violetta S.; Larracilla-Salazar, Némesis

2017-01-01

In the educational field, anxiety towards mathematics has been a recurrent theme that has been intensified with the results of the PISA test of 2012 and 2015. Since students who are anxious about mathematics tend to avoid any area related to mathematics, it leads to a decrease in the number of professionals in mathematics. However, this construct…

Mathematics and the Flight from the Feminine: The Discursive Construction of Gendered Subjectivity in Mathematics Textbooks

ERIC Educational Resources Information Center

Hottinger, Sara

2010-01-01

There is a widespread awareness in the American culture that women do not pursue careers in mathematics-related fields in equal numbers to men. Efforts to address this disparity by reforming mathematics education have met with some success; recent research shows that girls' achievements in mathematics stay on par with those of boys through…

Friend Influence and Susceptibility to Influence: Changes in Mathematical Reasoning as a Function of Relative Peer Acceptance and Interest in Mathematics

ERIC Educational Resources Information Center

DeLay, Dawn; Laursen, Brett; Kiuru, Noona; Poikkeus, Anna-Maija; Aunola, Kaisa

2016-01-01

This study investigated friend influence over mathematics achievement in 202 same-sex friendship dyads (106 girl dyads). Participants were in the third grade (around age 9) at the outset. Each friend completed a questionnaire describing interest in mathematics and a standardized mathematical reasoning assessment. Peer nominations provided a…

Multicultural and Gender Equity Issues in a History of Mathematics Course: Not Only Dead European Males

ERIC Educational Resources Information Center

Flores, Alfinio; Kimpton, Kelly E.

2012-01-01

We address issues related to gender and cultural equity in a history of mathematics course. We first look at the preponderance of male European mathematicians represented in textbooks of mathematics and history or mathematics. Then we discuss ways to highlight the presence of female and non-European mathematicians in the history of mathematics.…

Evaluating the Suitability of Mathematical Thinking Problems for Senior High-School Students by Including Mathematical Sense Making and Global Planning

ERIC Educational Resources Information Center

van Velzen, Joke H.

2016-01-01

The mathematics curriculum often provides for relatively few mathematical thinking problems or non-routine problems that focus on a deepening of understanding mathematical concepts and the problem-solving process. To develop such problems, methods are required to evaluate their suitability. The purpose of this preliminary study was to find such an…

Influence of Difficulty with Language of Mathematics on Perceived Self-Efficacy in Learning Mathematics among Upper Primary Students of Kerala

ERIC Educational Resources Information Center

Sarabi, M. K.; Gafoor, K. Abdul

2017-01-01

There is increasing realization that mathematics-related self-efficacy expectations are a strong predictor of an array of significant mathematics outcomes. It is also evident that the curricular practice in schools largely neglects development of a student understanding in the unique language of mathematics. Consequently, this study probes how…

Mathematical skills in Prader-Willi Syndrome.

PubMed

Bertella, L; Girelli, L; Grugni, G; Marchi, S; Molinari, E; Semenza, C

2005-02-01

This paper investigates mathematical skills in Prader-Willi Syndrome (PWS), a pathological condition because of congenital alterations of chromosome pair 15. The following questions were addressed: (1) Are mathematical skills in PWS relatively more impaired with respect to other cognitive functions (as has been repeatedly but anecdotally reported)?; and (2) What is the nature of the mathematical impairment? The first study employed the Wechsler Adult Intelligence Scale (WAIS) and an extensive battery of cognitive tasks for which norms are known. Both batteries include a mathematical section. The second study used a theoretically motivated series of mathematical tasks specifically designed to individually assess the different cognitive components underlying mathematical skills. Mathematical skills were found to be the most impaired cognitive abilities together with short-term memory capacity. No specific mathematical domain was seen to be unaffected in PWS participants. The clearest deficits observed concern 'syntactic' processes in number transcoding, multiplication, number facts retrieval and calculation procedures. Failure of mathematical skills is the most distinctive feature in the cognitive profile of PWS. However, to determine whether this is indeed a specific pattern of performance related to PWS, results must be compared with those obtained with patients manifesting other genetic disorders.

Applying Lakatos' Theory to the Theory of Mathematical Problem Solving.

ERIC Educational Resources Information Center

Nunokawa, Kazuhiko

1996-01-01

The relation between Lakatos' theory and issues in mathematics education, especially mathematical problem solving, is investigated by examining Lakatos' methodology of a scientific research program. (AIM)

Teachers' Beliefs and Teaching Mathematics with Manipulatives

ERIC Educational Resources Information Center

Golafshani, Nahid

2013-01-01

To promote the implementation of manipulatives into mathematics instruction, this research project examined how the instructional practices of four Grade 9 applied mathematics teachers related to their beliefs about the use of manipulatives in teaching mathematics, its effects on students' learning, and enabling and disabling factors. Teacher…

Transitioning to Secondary School: The Case of Mathematics

ERIC Educational Resources Information Center

Carmichael, Colin

2015-01-01

At a time when Australia's international competitiveness is compromised by a shortage of skilled workers in Science, Technology, Engineering and Mathematics (STEM) related careers, reports suggest a decline in Australian secondary school students' performances in international tests of mathematics. This study focuses on the mathematics performance…

Mathematics and General Education. Stirling Seminar Papers No. 2.

ERIC Educational Resources Information Center

Ruthven, Kenneth

1979-01-01

Despite the development of a common mathematics course, and the raising of the school leaving age, Scotland's mathematics curriculum is still designed for specialization. A general education perspective suggests that the curriculum should enable students to relate mathematics to everyday life (f=fiche number). (Author/CP)

Investigations in Mathematics Education, Vol. 10, No. 4.

ERIC Educational Resources Information Center

Osborne, Alan R., Ed.

Eighteen research reports related to mathematics education are abstracted and analyzed. Four of the reports deal with aspects of learning theory, five with topics in mathematics instruction (history of mathematics, exponents, probability, calculus, and calculators), four with teacher characteristics, and one each with testing, student interests,…

Understanding the Chinese Approach to Creative Teaching in Mathematics Classrooms

ERIC Educational Resources Information Center

Niu, Weihua; Zhou, Zheng; Zhou, Xinlin

2017-01-01

Using Amabile's componential theory of creativity as a framework, this paper analyzes how Chinese mathematics teachers achieve creative teaching through acquiring in-depth domain-specific knowledge in mathematics, developing creativity-related skills, as well as stimulating student interest in learning mathematics, through well-crafted,…

Task force on applied mathematics

NASA Technical Reports Server (NTRS)

Prieto, A.

1979-01-01

Tomas Garza relates how the Research Center for Applied Mathematics Systems and Services in Mexico became the Research Institute for Applied Mathematics and Systems and what the type of work performed is.

Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety

PubMed Central

2012-01-01

Background Mathematics anxiety (MA), a state of discomfort associated with performing mathematical tasks, is thought to affect a notable proportion of the school age population. Some research has indicated that MA negatively affects mathematics performance and that girls may report higher levels of MA than boys. On the other hand some research has indicated that boys’ mathematics performance is more negatively affected by MA than girls’ performance is. The aim of the current study was to measure girls’ and boys’ mathematics performance as well as their levels of MA while controlling for test anxiety (TA) a construct related to MA but which is typically not controlled for in MA studies. Methods Four-hundred and thirty three British secondary school children in school years 7, 8 and 10 completed customised mental mathematics tests and MA and TA questionnaires. Results No gender differences emerged for mathematics performance but levels of MA and TA were higher for girls than for boys. Girls and boys showed a positive correlation between MA and TA and a negative correlation between MA and mathematics performance. TA was also negatively correlated with mathematics performance, but this relationship was stronger for girls than for boys. When controlling for TA, the negative correlation between MA and performance remained for girls only. Regression analyses revealed that MA was a significant predictor of performance for girls but not for boys. Conclusions Our study has revealed that secondary school children experience MA. Importantly, we controlled for TA which is typically not controlled for in MA studies. Girls showed higher levels of MA than boys and high levels of MA were related to poorer levels of mathematics performance. As well as potentially having a detrimental effect on ‘online’ mathematics performance, past research has shown that high levels of MA can have negative consequences for later mathematics education. Therefore MA warrants attention in the mathematics classroom, particularly because there is evidence that MA develops during the primary school years. Furthermore, our study showed no gender difference in mathematics performance, despite girls reporting higher levels of MA. These results might suggest that girls may have had the potential to perform better than boys in mathematics however their performance may have been attenuated by their higher levels of MA. Longitudinal research is needed to investigate the development of MA and its effect on mathematics performance. PMID:22769743

Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety.

PubMed

Devine, Amy; Fawcett, Kayleigh; Szűcs, Dénes; Dowker, Ann

2012-07-09

Mathematics anxiety (MA), a state of discomfort associated with performing mathematical tasks, is thought to affect a notable proportion of the school age population. Some research has indicated that MA negatively affects mathematics performance and that girls may report higher levels of MA than boys. On the other hand some research has indicated that boys' mathematics performance is more negatively affected by MA than girls' performance is. The aim of the current study was to measure girls' and boys' mathematics performance as well as their levels of MA while controlling for test anxiety (TA) a construct related to MA but which is typically not controlled for in MA studies. Four-hundred and thirty three British secondary school children in school years 7, 8 and 10 completed customised mental mathematics tests and MA and TA questionnaires. No gender differences emerged for mathematics performance but levels of MA and TA were higher for girls than for boys. Girls and boys showed a positive correlation between MA and TA and a negative correlation between MA and mathematics performance. TA was also negatively correlated with mathematics performance, but this relationship was stronger for girls than for boys. When controlling for TA, the negative correlation between MA and performance remained for girls only. Regression analyses revealed that MA was a significant predictor of performance for girls but not for boys. Our study has revealed that secondary school children experience MA. Importantly, we controlled for TA which is typically not controlled for in MA studies. Girls showed higher levels of MA than boys and high levels of MA were related to poorer levels of mathematics performance. As well as potentially having a detrimental effect on 'online' mathematics performance, past research has shown that high levels of MA can have negative consequences for later mathematics education. Therefore MA warrants attention in the mathematics classroom, particularly because there is evidence that MA develops during the primary school years. Furthermore, our study showed no gender difference in mathematics performance, despite girls reporting higher levels of MA. These results might suggest that girls may have had the potential to perform better than boys in mathematics however their performance may have been attenuated by their higher levels of MA. Longitudinal research is needed to investigate the development of MA and its effect on mathematics performance.

Students attitude towards calculus subject: Bumiputera case-study

NASA Astrophysics Data System (ADS)

Awang, Noorehan; Ilias, Mohd Rijal; Che Hussain, Wan Siti Esah; Mokhtar, Siti Fairus

2013-04-01

Mathematics has always become the most dislike subject among other subjects in school. Study showed that attitudes of students in science subjects such as mathematics were closely related to how they solve problems, accessing ideas and making a right decision. According to another study on mathematics achievement of eighth grade students in Malaysia, mathematics grades among bumiputera students was lower when compared to other races such as Chinese and Indians. The poor performance was due to their attitude and pre-conceived ideas towards the subject. Therefore, this study was designed todetermine the criteria and subcriteria that were considered important in measuring students' attitude toward mathematics among the bumiputeras. Factor analysis was carried out to identify the groups among criterion. Instrument used to measure mathematics attitude was Test of Mathematics Related Attitude (TOMRA) which measured student attitudes in four criteria: normality of mathematics, attitudes towards mathematics inquiry, adoption of mathematics attitude and enjoyment of mathematics lessons. The target population of this study was all computer science and quantitative science students who enrolled Calculus subject in UiTM Kedah. Findings shows that there are two criteria that influenced students attitude toward mathematics namely normality of mathematics with eleven subcriteria and enjoyment of mathematics with eight subcriteria. From the analysis it shows that the total percentage of variation explained is 35.071% with 0.837 Cronbach's alpha reliability test. The findings will help the lecturers, parents and society to consider what action should be taken to install interest and positive attitude of bumiputera students towards mathematics and thus improve their achievement.

A Longitudinal Look at Attitudes and Perceptions Related to the Integration of Mathematics, Science, and Technology Education

ERIC Educational Resources Information Center

Berlin, Donna F.; White, Arthur L.

2012-01-01

The purpose of this study is to provide an in-depth analysis of attitudes and perceptions related to the integration of mathematics, science, and technology education of preservice teachers preparing to teach STEM disciplines. Longitudinal data by individual cohort and across 7 years of the Integrated Mathematics, Science, and Technology (MSAT)…

An Examination of the Role of Technological Tools in Relation to the Cognitive Demand of Mathematical Tasks in Secondary Classrooms

ERIC Educational Resources Information Center

Sherman, Milan

2011-01-01

This study investigates the role of digital cognitive technologies in supporting students' mathematical thinking while engaging with instructional tasks. Specifically, the study sought to better understand how the use of technology is related to the cognitive demand of tasks. Data were collected in four secondary mathematics classrooms via…

Peer Relations and Access to Capital in the Mathematics Classroom: A Bourdieusian Social Network Analysis

ERIC Educational Resources Information Center

Choudry, Sophina; Williams, Julian; Black, Laura

2017-01-01

The aim of this article is to explore the structure of social capital in peer networks and its relation to the unequal access of educational resources within mathematics classrooms. We hypothesise that learners can gain access to mathematics through friendship networks which provide more or less help from peers that might sustain (or curtail)…

Selected Factors Related to the Mathematics Academic Achievement of Eighth Grade English Language Learners

ERIC Educational Resources Information Center

Garza, Anthony

2012-01-01

The purpose of this study was to examine selected factors related to the 8th grade mathematics achievement levels of English Language Learner (ELL) students in selected South Texas middle schools. The dependent variable, ELL mathematics achievement, was measured by the ELL student's raw score on the State of Texas Assessment of Academic Readiness…

Starting a Conversation about Open Data in Mathematics Education Research

ERIC Educational Resources Information Center

Logan, Tracy

2015-01-01

This position paper discusses the role of open access research data within mathematics education, a relatively new initiative across the wider research community. International and national policy documents are explored and examples from both the scientific and social science paradigms of mathematical sciences and mathematics education…

Mathematical Sense-Making in Quantum Mechanics: An Initial Peek

ERIC Educational Resources Information Center

Dreyfus, Benjamin W.; Elby, Andrew; Gupta, Ayush; Sohr, Erin Ronayne

2017-01-01

Mathematical sense-making--looking for coherence between the structure of the mathematical formalism and causal or functional relations in the world--is a core component of physics expertise. Some physics education research studies have explored what mathematical sense-making looks like at the introductory physics level, while some historians and…

Forces and Issues Related to Curriculum and Instruction, K-6

ERIC Educational Resources Information Center

DeVault, M. Vere; Weaver, J. Fred

1970-01-01

Traces the development of elementary mathematics curriculum and instruction from colonial times to the present. Each section emphasizes four major issues: Why teach mathematics? What mathematics should be taught? How should the mathematics we teach be organized? How should we organize and implement instruction? Also included are several items…

Financial Mathematical Tasks in a Middle School Mathematics Textbook Series: A Content Analysis

ERIC Educational Resources Information Center

Hamburg, Maryanna P.

2009-01-01

This content analysis examined the distribution of financial mathematical tasks (FMTs), mathematical tasks that contain financial terminology and require financially related solutions, across the National Standards in K-12 Personal Finance Education categories (JumpStart Coalition, 2007), the thinking skills as identified by "A Taxonomy for…

Mathematics and Global Survival.

ERIC Educational Resources Information Center

Schwartz, Richard H.

This resource was written to provide students with an awareness of critical issues facing the world today. In courses for college students, it can motivate their study of mathematics, teach them how to solve mathematical problems related to current global issues, provide coherence to mathematical studies through a focus on issues of human…

What Students Say about Their Mathematical Thinking When They Listen

ERIC Educational Resources Information Center

Kosko, Karl W.

2014-01-01

Mathematical listening is an important aspect of mathematical communication. Yet there are relatively few examinations of this phenomenon. Further, existing studies of students' mathematical listening come from observational data, lacking the student perspective. This study examined student replies to an open-response question regarding what…

A New Start for Mathematics Curriculum.

ERIC Educational Resources Information Center

Tucker, Alan

Arguing that a major re-thinking of the mathematics curriculum is needed, this paper urges two-year colleges to take the lead in curriculum revision. Section I suggests that the pre-calculus orientation of high school mathematics may be inappropriate, viewing mathematics related to computers and dependent on computers for computation as more…

Alternate Trajectories: Women Moving into Mathematics Education

ERIC Educational Resources Information Center

Toney, Allison F.

2014-01-01

While only about one-third of each year's doctoral graduates in mathematics are women, about two-thirds of the doctoral graduates in mathematics education are women. This article reports on the results of a qualitative investigation into the nature of the graduate school-related experiences of women in collegiate mathematics education doctoral…

Writing in Mathematics: A Survey of K-12 Teachers' Reported Frequency in the Classroom

ERIC Educational Resources Information Center

Kosko, Karl Wesley

2016-01-01

Although writing in mathematics has been advocated in practitioner journals, policy documents, and various research, surveys of mathematics teachers between 1988 and 2008 in various English-speaking countries have reported relatively infrequent incorporation into mathematics lessons. Further, much of prior survey research has yielded only…

Problem Posing with the Multiplication Table

ERIC Educational Resources Information Center

Dickman, Benjamin

2014-01-01

Mathematical problem posing is an important skill for teachers of mathematics, and relates readily to mathematical creativity. This article gives a bit of background information on mathematical problem posing, lists further references to connect problem posing and creativity, and then provides 20 problems based on the multiplication table to be…

Exploring an Integrative Lens of Identity for a High School Mathematics Teacher

ERIC Educational Resources Information Center

Wilson, Kimi

2016-01-01

Driven largely by societal discourse regarding the underrepresentation of African American males pursuing science, technology, engineering and mathematics (STEM) majors, careers and professions, it becomes salient to understand how African American males experience mathematics in K-12 public schools in relation to their mathematics identity…

Preservice Mathematics Teachers' Perceptions of Drama Based Instruction

ERIC Educational Resources Information Center

Bulut, Neslihan

2016-01-01

The purpose of this study was to determine the perceptions of pre-service mathematics teachers related to drama-based instruction. For this purpose, effects of a drama-based mathematics course on senior class pre-service mathematics teachers' knowledge about drama-based instruction and teacher candidates' competencies for developing and…

Students' and Teachers' Conceptual Metaphors for Mathematical Problem Solving

ERIC Educational Resources Information Center

Yee, Sean P.

2017-01-01

Metaphors are regularly used by mathematics teachers to relate difficult or complex concepts in classrooms. A complex topic of concern in mathematics education, and most STEM-based education classes, is problem solving. This study identified how students and teachers contextualize mathematical problem solving through their choice of metaphors.…

Engaging with Issues of Emotionality in Mathematics Teacher Education for Social Justice

ERIC Educational Resources Information Center

Boylan, Mark

2009-01-01

This article focuses on the relationship between social justice, emotionality and mathematics teaching in the context of the education of prospective teachers of mathematics. A relational approach to social justice calls for giving attention to enacting socially just relationships in mathematics classrooms. Emotionality and social justice in…

Information Literacy in Mathematics Undergraduate Education: Where Does It Stand Today?

ERIC Educational Resources Information Center

Bussmann, Jeffra Diane; Bond, Jeffrey D.

2015-01-01

The published literature on information literacy in mathematics is relatively sparse. This article explores the current state of information literacy initiatives in undergraduate mathematics. The authors survey academic librarians (n = 118) who liaise with mathematics departments in order to gain an understanding of their practices and attitudes…

Exploring Relationships between Presage Variables of Florida Preservice Agricultural Education Teachers Related to Teaching Contextualized Mathematics

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

The purpose of this exploratory study was to investigate the relationships between mathematics ability, personal mathematics efficacy, mathematics teaching efficacy, personal teaching efficacy, and background characteristics of preservice agricultural education teachers. Data were collected for two years at the University of Florida. Fourteen…

Teaching Preschoolers to Count: Effective Strategies for Achieving Early Mathematics Milestones

ERIC Educational Resources Information Center

Jacobi-Vessels, Jill L.; Brown, E. Todd; Molfese, Victoria J.; Do, Ahn

2016-01-01

Attention to early childhood mathematics instructional strategies has sharpened due to the relatively poor mathematics performance of U.S. students in comparison to students from other countries and research evidence that early mathematics skills impact later achievement. Early Childhood counting skills form the foundation for subsequent…

Early math matters: kindergarten number competence and later mathematics outcomes.

PubMed

Jordan, Nancy C; Kaplan, David; Ramineni, Chaitanya; Locuniak, Maria N

2009-05-01

Children's number competencies over 6 time points, from the beginning of kindergarten to the middle of 1st grade, were examined in relation to their mathematics achievement over 5 later time points, from the end of 1st grade to the end of 3rd grade. The relation between early number competence and mathematics achievement was strong and significant throughout the study period. A sequential process growth curve model showed that kindergarten number competence predicted rate of growth in mathematics achievement between 1st and 3rd grades as well as achievement level through 3rd grade. Further, rate of growth in early number competence predicted mathematics performance level in 3rd grade. Although low-income children performed more poorly than their middle-income counterparts in mathematics achievement and progressed at a slower rate, their performance and growth were mediated through relatively weak kindergarten number competence. Similarly, the better performance and faster growth of children who entered kindergarten at an older age were explained by kindergarten number competence. The findings show the importance of early number competence for setting children's learning trajectories in elementary school mathematics. Copyright 2009 APA, all rights reserved

Basic and Advanced Numerical Performances Relate to Mathematical Expertise but Are Fully Mediated by Visuospatial Skills

PubMed Central

2016-01-01

Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. PMID:26913930

Early Math Matters: Kindergarten Number Competence and Later Mathematics Outcomes

PubMed Central

Jordan, Nancy C.; Kaplan, David; Ramineni, Chaitanya; Locuniak, Maria N.

2009-01-01

Children’s number competencies over 6 time points, from the beginning of kindergarten to the middle of 1st grade, were examined in relation to their mathematics achievement over 5 later time points, from the end of 1st grade to the end of 3rd grade. The relation between early number competence and mathematics achievement was strong and significant throughout the study period. A sequential process growth curve model showed that kindergarten number competence predicted rate of growth in mathematics achievement between 1st and 3rd grades as well as achievement level through 3rd grade. Further, rate of growth in early number competence predicted mathematics performance level in 3rd grade. Although low-income children performed more poorly than their middle-income counterparts in mathematics achievement and progressed at a slower rate, their performance and growth were mediated through relatively weak kindergarten number competence. Similarly, the better performance and faster growth of children who entered kindergarten at an older age were explained by kindergarten number competence. The findings show the importance of early number competence for setting children’s learning trajectories in elementary school mathematics. PMID:19413436

Internationalizing the University Mathematics Curriculum

ERIC Educational Resources Information Center

Appelbaum, Peter; Friedler, Louis M.; Ortiz, Carlos E.; Wolff, Edward F.

2009-01-01

This article offers suggestions for achieving the internationalization of university mathematics-related curricular offerings. It presents learning objectives and related student outcomes, raises general issues related to internationalization, and then discusses how to incorporate the objectives and address these issues within the university…

Application of Vectors to Relative Velocity

ERIC Educational Resources Information Center

Tin-Lam, Toh

2004-01-01

The topic 'relative velocity' has recently been introduced into the Cambridge Ordinary Level Additional Mathematics syllabus under the application of Vectors. In this note, the results of relative velocity and the 'reduction to rest' technique of teaching relative velocity are derived mathematically from vector algebra, in the hope of providing…

Spatial transformation abilities and their relation to later mathematics performance.

PubMed

Frick, Andrea

2018-04-10

Using a longitudinal approach, this study investigated the relational structure of different spatial transformation skills at kindergarten age, and how these spatial skills relate to children's later mathematics performance. Children were tested at three time points, in kindergarten, first grade, and second grade (N = 119). Exploratory factor analyses revealed two subcomponents of spatial transformation skills: one representing egocentric transformations (mental rotation and spatial scaling), and one representing allocentric transformations (e.g., cross-sectioning, perspective taking). Structural equation modeling suggested that egocentric transformation skills showed their strongest relation to the part of the mathematics test tapping arithmetic operations, whereas allocentric transformations were strongly related to Numeric-Logical and Spatial Functions as well as geometry. The present findings point to a tight connection between early mental transformation skills, particularly the ones requiring a high level of spatial flexibility and a strong sense for spatial magnitudes, and children's mathematics performance at the beginning of their school career.

The relative importance of two different mathematical abilities to mathematical achievement.

PubMed

Nunes, Terezinha; Bryant, Peter; Barros, Rossana; Sylva, Kathy

2012-03-01

Two distinct abilities, mathematical reasoning and arithmetic skill, might make separate and specific contributions to mathematical achievement. However, there is little evidence to inform theory and educational practice on this matter. The aims of this study were (1) to assess whether mathematical reasoning and arithmetic make independent contributions to the longitudinal prediction of mathematical achievement over 5 years and (2) to test the specificity of this prediction. Data from Avon Longitudinal Study of Parents and Children (ALSPAC) were available on 2,579 participants for analyses of KS2 achievement and on 1,680 for the analyses of KS3 achievement. Hierarchical regression analyses were used to assess the independence and specificity of the contribution of mathematical reasoning and arithmetic skill to the prediction of achievement in KS2 and KS3 mathematics, science, and English. Age, intelligence, and working memory (WM) were controls in these analyses. Mathematical reasoning and arithmetic did make independent contributions to the prediction of mathematical achievement; mathematical reasoning was by far the stronger predictor of the two. These predictions were specific in so far as these measures were more strongly related to mathematics than to science or English. Intelligence and WM were non-specific predictors; intelligence contributed more to the prediction of science than of maths, and WM predicted maths and English equally well. There is clear justification for making a distinction between mathematical reasoning and arithmetic skills. The implication is that schools must plan explicitly to improve mathematical reasoning as well as arithmetic skills. ©2011 The British Psychological Society.

Teachers' Evaluations and Use of Web-Based Curriculum Resources in Relation to the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Webel, Corey; Krupa, Erin E.; McManus, Jason

2015-01-01

This study examines patterns in how a group of fifth- and sixth-grade teachers evaluated and reported using different types of curriculum resources to support their teaching in relation to the mathematical concepts outlined in the Common Core State Standards for Mathematics. In particular, it explores the use of resources that were available to…

Predictive Relation between Early Numerical Competencies and Mathematics Achievement in First Grade Portuguese Children.

PubMed

Marcelino, Lilia; de Sousa, Óscar; Lopes, António

2017-01-01

Early numerical competencies (ENC) (counting, number relations, and basic arithmetic operations) have a central position in the initial learning of mathematics, and their assessment is useful for predicting later mathematics achievement. Using a regression model, this study aims to analyze the correlational and predictive evidence between ENC and mathematics achievement in first grade Portuguese children ( n = 123). The children's ENC were examined at the point of school entry. Three criterion groups (low, moderate, and high ENC) were formed based on the results of the early numerical brief screener and mathematics achievement measured at the end of first grade. The following hypotheses were tested: children who started first grade with low numerical competencies remained low mathematics achievement at the end of first grade; and children who started with high numerical competencies, finished the first grade with high mathematics achievement. The results showed that ENC contributed to a significant amount of explained variance in mathematics achievement at the end of the first grade. Children with low numerical competencies performed lower than children with moderate and high numerical competencies. Findings suggest that ENC are meaningful for predicting first-grade mathematics difficulties.

Predictive Relation between Early Numerical Competencies and Mathematics Achievement in First Grade Portuguese Children

PubMed Central

Marcelino, Lilia; de Sousa, Óscar; Lopes, António

2017-01-01

Early numerical competencies (ENC) (counting, number relations, and basic arithmetic operations) have a central position in the initial learning of mathematics, and their assessment is useful for predicting later mathematics achievement. Using a regression model, this study aims to analyze the correlational and predictive evidence between ENC and mathematics achievement in first grade Portuguese children (n = 123). The children’s ENC were examined at the point of school entry. Three criterion groups (low, moderate, and high ENC) were formed based on the results of the early numerical brief screener and mathematics achievement measured at the end of first grade. The following hypotheses were tested: children who started first grade with low numerical competencies remained low mathematics achievement at the end of first grade; and children who started with high numerical competencies, finished the first grade with high mathematics achievement. The results showed that ENC contributed to a significant amount of explained variance in mathematics achievement at the end of the first grade. Children with low numerical competencies performed lower than children with moderate and high numerical competencies. Findings suggest that ENC are meaningful for predicting first-grade mathematics difficulties. PMID:28713308

Mathematics in Early Childhood: Research-Based Rationale and Practical Strategies

ERIC Educational Resources Information Center

Linder, Sandra M.; Powers-Costello, Beth; Stegelin, Dolores A.

2011-01-01

Mathematics education is a critical part of the curriculum for students worldwide. The foundation for understanding mathematical concepts related to number sense begins early in life, and early childhood classrooms can provide the seeds for mathematical skills that will be needed later in life. In this article, the authors make a case for…

Actitud Hacia las Matematicas: Revision Bibliografica (Attitudes Toward Mathematics: Revised Bibliography). Publication No. 39.

ERIC Educational Resources Information Center

Rodriguez Feijoo, Nelida

Investigations about attitudes toward mathematics carried out in the past decade were revised. The instruments used to measure attitudes toward mathematics were analysed as well as the attitudes toward different aspects of mathematics, their relation with other school subjects and their stability through time. Opinions about the influence of…

Influences on Mathematical Preparation of Secondary School Teachers of Mathematics.

ERIC Educational Resources Information Center

Johnson, Carl S.; Byars, Jackson A.

The results of a survey related to the impact of various recommendations on preservice content programs for teachers of mathematics are reported. The content of current programs is compared to the recommendations of the Committee on Undergraduate Programs in Mathematics (CUPM). The acceptance of CUPM and the Cambridge Conference on School…

Final Report of Cambridge Conference on School Mathematics, January 1962 - August 1970.

ERIC Educational Resources Information Center

Cambridge Conference on School Mathematics, Newton, MA.

The Cambridge Conference on School Mathematics (CCSM) was an association of prominent mathematicians who had a concern for mathematics education at school level, from kindergarten through grade twelve. These mathematicians organized three main conferences in three areas of mathematics education, and have carried on activities related to the…

What Is the Problem in Problem-Based Learning in Higher Education Mathematics

ERIC Educational Resources Information Center

Dahl, Bettina

2018-01-01

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge…

Working Memory and Language: Skill-Specific or Domain-General Relations to Mathematics?

ERIC Educational Resources Information Center

Purpura, David J.; Ganley, Colleen M.

2014-01-01

Children's early mathematics skills develop in a cumulative fashion; foundational skills form a basis for the acquisition of later skills. However, non-mathematical factors such as working memory and language skills have also been linked to mathematical development at a broad level. Unfortunately, little research has been conducted to evaluate the…

Gender, Parental Beliefs and Children's Mathematics Performance: Insights from the Longitudinal Study of Australian Children

ERIC Educational Resources Information Center

Carmichael, Colin

2014-01-01

With reports of declining participation in mathematics related careers and low female participation rates, the issue of gender differences in mathematics remains relevant. This study seeks to examine the relationship between: children's sex, parents' beliefs regarding their children's education, and, the children's mathematics performance. Through…

Mathematics Undergraduates' Responses to Semantic Abbreviations, 'Geometric' Images and Multi-Level Abstractions in Group Theory.

ERIC Educational Resources Information Center

Nardi, Elena

2000-01-01

Identifies and explores the difficulties in the novice mathematician's encounter with mathematical abstraction. Observes 20 first-year mathematics undergraduates and extracts sets of episodes from the transcripts of the tutorials and interviews within five topics in pure mathematics. Discusses issues related to the learning of one mathematical…

Problem Solving in Swedish Mathematics Textbooks for Upper Secondary School

ERIC Educational Resources Information Center

Brehmer, Daniel; Ryve, Andreas; Van Steenbrugge, Hendrik

2016-01-01

The aim of this study is to analyse how mathematical problem solving is represented in mathematical textbooks for Swedish upper secondary school. The analysis comprises dominating Swedish textbook series, and relates to uncovering (a) the quantity of tasks that are actually mathematical problems, (b) their location in the chapter, (c) their…

Engaging First Graders to Participate as Students of Mathematics

ERIC Educational Resources Information Center

Perry, Michelle; McConney, Marc; Flevares, Lucia M.; Mingle, Leigh A.; Hamm, Jill V.

2011-01-01

First-grade students often come to school relatively naive about what it means to be mathematics students. Thus, first-grade teachers have the responsibility not only of teaching mathematical content to their young students, but also of socializing them into a culture of mathematics learning. In this article, the authors document both how teachers…

Discourse-Based Instructional Strategies to Engage Middle School Students with Standards for Mathematical

ERIC Educational Resources Information Center

Cookson, Sandra

2017-01-01

Student achievement in mathematics is correlated with factors related to student engagement. Improving engagement has the potential to improve student achievement at the middle school level. The Common Core State Standards for Mathematics explicate eight specific Standards for Mathematical Practice (SMPs) that clarify the types of skills and…

Assessing the Relation between Seventh-Grade Students' Engagement and Mathematical Problem Solving Performance

ERIC Educational Resources Information Center

Lein, Amy E.; Jitendra, Asha K.; Starosta, Kristin M.; Dupuis, Danielle N.; Hughes-Reid, Cheyenne L.; Star, Jon R.

2016-01-01

In this study, the authors assessed the contribution of engagement (on-task behavior) to the mathematics problem-solving performance of seventh-grade students after accounting for prior mathematics achievement. A subsample of seventh-grade students in four mathematics classrooms (one high-, two average-, and one low-achieving) from a larger…

An Analysis of the Reasoning Skills of Pre-Service Teachers in the Context of Mathematical Thinking

ERIC Educational Resources Information Center

Yavuz Mumcu, Hayal; Aktürk, Tolga

2017-01-01

The aim of this study is to address and analyse pre-service teachers' mathematical reasoning skills in relation to mathematical thinking processes. For these purposes, pre-service teachers' mathematical reasoning skills namely generalising/abstraction/modelling, ratiocination, development and creative thinking skills and the relationships among…

Race/Ethnicity and Early Mathematics Skills: Relations between Home, Classroom, and Mathematics Achievement

ERIC Educational Resources Information Center

Sonnenschein, Susan; Galindo, Claudia

2015-01-01

This study used Early Childhood Longitudinal Study-Kindergarten Cohort data to examine influences of the home and classroom learning environments on kindergarten mathematics achievement of Black, Latino, and White children. Regardless of race/ethnicity, children who started kindergarten proficient in mathematics earned spring scores about 7-8…

Motivation and Achievement of Middle School Mathematics Students

ERIC Educational Resources Information Center

Herges, Rebecca M.; Duffield, Stacy; Martin, William; Wageman, Justin

2017-01-01

Mathematics achievement among K-12 students has been a long-standing concern in schools across the United States. A possible solution to this mathematics achievement problem is student motivation. A survey was administered to 65 mathematics students at a Midwestern middle school to determine their beliefs and attitudes related to motivation and…

Student-Teachers in Higher Education Institutions' (HEIs) Emotional Intelligence and Mathematical Competencies

ERIC Educational Resources Information Center

Eustaquio, William Rafael

2015-01-01

As manifested by various studies conducted, the present state of Mathematics education in the teaching-learning process is relatively declining and the existing effort to identify emotional intelligence and mathematics competencies of Mathematics major student-teachers at Higher Education Institutions in Isabela is an attempt to help alleviate the…

How Flipping Much? Consecutive Flipped Mathematics Courses and Their Influence on Students' Anxieties and Perceptions of Learning

ERIC Educational Resources Information Center

Dove, Anthony; Dove, Emily

2017-01-01

While studies have shown positive attributes related to flipped learning, especially in mathematics and statistics, there is limited understanding of how taking multiple flipped courses may impact students' learning of mathematics and their perceptions of mathematics. Specifically, this study examined how completing consecutive flipped mathematics…

A Framework for Describing Mathematics Discourse in Instruction and Interpreting Differences in Teaching

ERIC Educational Resources Information Center

Adler, Jill; Ronda, Erlina

2015-01-01

We describe and use an analytical framework to document mathematics discourse in instruction (MDI), and interpret differences in mathematics teaching. MDI is characterised by four interacting components in the teaching of a mathematics lesson: exemplification (occurring through a sequence of examples and related tasks), explanatory talk (talk that…

Women and Mathematics: Research Perspectives for Change. NIE Papers in Education and Work, Number Eight.

ERIC Educational Resources Information Center

Fox, Lynn H.; And Others

The results of three investigations into major influences affecting women's participation and achievement in mathematics and their preferences for mathematics-related careers are reported. The major cognitive, affective and educational influences are studied. Major social influences, including sex role stereotyping mathematics as a male domain,…

First-Year Students' Beliefs about Context Problems in Mathematics in University Science Programmes

ERIC Educational Resources Information Center

Drobnic Vidic, Andreja

2015-01-01

Mathematics-related beliefs play an important role in the willingness to engage in academic activities in mathematics education. Such beliefs might not be consistent with the beliefs students hold about context problems that require sufficient mathematical knowledge and the application of such knowledge to various real-life situations. This study…

Research Reporting Sections, Annual Meeting of National Council of Teachers of Mathematics (54th, Atlanta, Georgia, April 21-24, 1976). Mathematics Education Information Report

ERIC Educational Resources Information Center

Higgins, Jon L., Ed.

Abstracts of 28 research reports are provided. The reports were prepared by investigators for presentation at the 54th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education are covered. Three reports concern the effects of differing presentations of mathematics, four are related…

Teachers' Self-Efficacy in Mathematics and Teaching Mathematics, Instructional Practices, and the Mississippi Curriculum Test, Second Edition for Mathematics in Grades 3-5

ERIC Educational Resources Information Center

Yates, Tracy Hardwell

2014-01-01

The purpose of this correlational study was to examine the relationship among the mathematical self-efficacies, mathematical teaching self-efficacies, and instructional practices of elementary teachers. This study was also designed to determine how these variables influence an individual teacher's QDI in relation to MCT2 math scores in grades 3-5.…

Conceptions for Relating the Evolution of Mathematical Concepts to Mathematics Learning--Epistemology, History, and Semiotics Interacting: To the Memory of Carl Menger (1902-1985)

ERIC Educational Resources Information Center

Schubring, Gert

2011-01-01

There is an over-arching consensus that the use of the history of mathematics should decidedly improve the quality of mathematics teaching. Mathematicians and mathematics educators show here a rare unanimity. One deplores, however, and in a likewise general manner, the scarcity of positive examples of such a use. This paper analyses whether there…

The Empathizing-Systemizing Theory, Social Abilities, and Mathematical Achievement in Children

PubMed Central

Escovar, Emily; Rosenberg-Lee, Miriam; Uddin, Lucina Q.; Menon, Vinod

2016-01-01

The Empathizing-Systemizing (E-S) theory describes a profile of traits that have been linked to autism spectrum disorders, and are thought to encompass a continuum that includes typically developing (TD) individuals. Although systemizing is hypothesized to be related to mathematical abilities, empirical support for this relationship is lacking. We examine the link between empathizing and systemizing tendencies and mathematical achievement in 112 TD children (57 girls) to elucidate how socio-cognitive constructs influence early development of mathematical skills. Assessment of mathematical achievement included standardized tests designed to examine calculation skills and conceptual mathematical reasoning. Empathizing and systemizing were assessed using the Combined Empathy Quotient-Child (EQ-C) and Systemizing Quotient-Child (SQ-C). Contrary to our hypothesis, we found that mathematical achievement was not related to systemizing or the discrepancy between systemizing and empathizing. Surprisingly, children with higher empathy demonstrated lower calculation skills. Further analysis using the Social Responsiveness Scale (SRS) revealed that the relationship between EQ-C and mathematical achievement was mediated by social ability rather than autistic behaviors. Finally, social awareness was found to play a differential role in mediating the relationship between EQ-C and mathematical achievement in girls. These results identify empathy, and social skills more generally, as previously unknown predictors of mathematical achievement. PMID:26972835

The Empathizing-Systemizing Theory, Social Abilities, and Mathematical Achievement in Children.

PubMed

Escovar, Emily; Rosenberg-Lee, Miriam; Uddin, Lucina Q; Menon, Vinod

2016-03-14

The Empathizing-Systemizing (E-S) theory describes a profile of traits that have been linked to autism spectrum disorders, and are thought to encompass a continuum that includes typically developing (TD) individuals. Although systemizing is hypothesized to be related to mathematical abilities, empirical support for this relationship is lacking. We examine the link between empathizing and systemizing tendencies and mathematical achievement in 112 TD children (57 girls) to elucidate how socio-cognitive constructs influence early development of mathematical skills. Assessment of mathematical achievement included standardized tests designed to examine calculation skills and conceptual mathematical reasoning. Empathizing and systemizing were assessed using the Combined Empathy Quotient-Child (EQ-C) and Systemizing Quotient-Child (SQ-C). Contrary to our hypothesis, we found that mathematical achievement was not related to systemizing or the discrepancy between systemizing and empathizing. Surprisingly, children with higher empathy demonstrated lower calculation skills. Further analysis using the Social Responsiveness Scale (SRS) revealed that the relationship between EQ-C and mathematical achievement was mediated by social ability rather than autistic behaviors. Finally, social awareness was found to play a differential role in mediating the relationship between EQ-C and mathematical achievement in girls. These results identify empathy, and social skills more generally, as previously unknown predictors of mathematical achievement.

The development of executive functions and early mathematics: a dynamic relationship.

PubMed

Van der Ven, Sanne H G; Kroesbergen, Evelyn H; Boom, Jan; Leseman, Paul P M

2012-03-01

The relationship between executive functions and mathematical skills has been studied extensively, but results are inconclusive, and how this relationship evolves longitudinally is largely unknown. The aim was to investigate the factor structure of executive functions in inhibition, shifting, and updating; the longitudinal development of executive functions and mathematics; and the relation between them. A total of 211 children in grade 2 (7-8 years old) from 10 schools in the Netherlands. Children were followed in grade 1 and 2 of primary education. Executive functions and mathematics were measured four times. The test battery contained multiple tasks for each executive function: Animal stroop, local global, and Simon task for inhibition; Animal Shifting, Trail Making Test in Colours, and Sorting Task for shifting; and Digit Span Backwards, Odd One Out, and Keep Track for updating. The factor structure of executive functions was assessed and relations with mathematics were investigated using growth modelling. Confirmatory factor analysis (CFA) showed that inhibition and shifting could not be distinguished from each other. Updating was a separate factor, and its development was strongly related to mathematical development while inhibition and shifting did not predict mathematics in the presence of the updating factor. The strong relationship between updating and mathematics suggest that updating skills play a key role in the maths learning process. This makes updating a promising target for future intervention studies. ©2011 The British Psychological Society.

Symbolic-Graphical Calculators: Teaching Tools for Mathematics.

ERIC Educational Resources Information Center

Dick, Thomas P.

1992-01-01

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

Factors involved in making post-performance judgments in mathematics problem-solving.

PubMed

García Fernández, Trinidad; Kroesbergen, Evelyn; Rodríguez Pérez, Celestino; González-Castro, Paloma; González-Pienda, Julio A

2015-01-01

This study examines the impact of executive functions, affective-motivational variables related to mathematics, mathematics achievement and task characteristics on fifth and sixth graders’ calibration accuracy after completing two mathematical problems. A sample of 188 students took part in the study. They were divided into two groups as function of their judgment accuracy after completing the two tasks (accurate= 79, inaccurate= 109). Differences between these groups were examined. The discriminative value of these variables to predict group membership was analyzed, as well as the effect of age, gender, and grade level. The results indicated that accurate students showed better levels of executive functioning, and more positive feelings, beliefs, and motivation related to mathematics. They also spent more time on the tasks. Mathematics achievement, perceived usefulness of mathematics, and time spent on Task 1 significantly predicted group membership, classifying 71.3% of the sample correctly. These results support the relationship between academic achievement and calibration accuracy, suggesting the need to consider a wide range of factors when explaining performance judgments.

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)

Children thinking mathematically beyond authoritative identities

NASA Astrophysics Data System (ADS)

MacMillan, Agnes

1995-10-01

A study into the mathematics-related interactions and developing attitudes of young children during the transition period between pre-school and school is reported. Transcripts of interactions during a six-week observation period in one of two preschool sites are coded according to the classifications defined within a theoretical framework. Two separate episodes of construction play were analysed and one of these is used to examine the mathematical nature of the children's interactions within an emerging model of autonomous learning. The results of the analysis indicate that access to self-regulatory social relations is very closely linked to the accessibility of mathematical meanings.

Preservice Mathematics and Science Teachers in an Integrated Teacher Preparation Program for Grades 7-12: A 3-Year Study of Attitudes and Perceptions Related to Integration

ERIC Educational Resources Information Center

Berlin, Donna F.; White, Arthur L.

2010-01-01

The purpose of this article is twofold: (a) to describe a unique teacher licensure program for grades 7-12 that integrates mathematics, science, and technology education and (b) to explore the attitudes and perceptions related to the integration of mathematics, science, and technology education of three cohorts of preservice teachers enrolled in…

Anxiety is not enough to drive me away: A latent profile analysis on math anxiety and math motivation.

PubMed

Wang, Zhe; Shakeshaft, Nicholas; Schofield, Kerry; Malanchini, Margherita

2018-01-01

Mathematics anxiety (MA) and mathematics motivation (MM) are important multi-dimensional non-cognitive factors in mathematics learning. While the negative relation between global MA and MM is well replicated, the relations between specific dimensions of MA and MM are largely unexplored. The present study utilized latent profile analysis to explore profiles of various aspects of MA (including learning MA and exam MA) and MM (including importance, self-perceived ability, and interest), to provide a more holistic understanding of the math-specific emotion and motivation experiences. In a sample of 927 high school students (13-21 years old), we found 8 distinct profiles characterized by various combinations of dimensions of MA and MM, revealing the complexity in the math-specific emotion-motivation relation beyond a single negative correlation. Further, these profiles differed on mathematics learning behaviors and mathematics achievement. For example, the highest achieving students reported modest exam MA and high MM, whereas the most engaged students were characterized by a combination of high exam MA and high MM. These results call for the need to move beyond linear relations among global constructs to address the complexity in the emotion-motivation-cognition interplay in mathematics learning, and highlight the importance of customized intervention for these heterogeneous groups.

Anxiety is not enough to drive me away: A latent profile analysis on math anxiety and math motivation

PubMed Central

Shakeshaft, Nicholas; Schofield, Kerry; Malanchini, Margherita

2018-01-01

Mathematics anxiety (MA) and mathematics motivation (MM) are important multi-dimensional non-cognitive factors in mathematics learning. While the negative relation between global MA and MM is well replicated, the relations between specific dimensions of MA and MM are largely unexplored. The present study utilized latent profile analysis to explore profiles of various aspects of MA (including learning MA and exam MA) and MM (including importance, self-perceived ability, and interest), to provide a more holistic understanding of the math-specific emotion and motivation experiences. In a sample of 927 high school students (13–21 years old), we found 8 distinct profiles characterized by various combinations of dimensions of MA and MM, revealing the complexity in the math-specific emotion-motivation relation beyond a single negative correlation. Further, these profiles differed on mathematics learning behaviors and mathematics achievement. For example, the highest achieving students reported modest exam MA and high MM, whereas the most engaged students were characterized by a combination of high exam MA and high MM. These results call for the need to move beyond linear relations among global constructs to address the complexity in the emotion-motivation-cognition interplay in mathematics learning, and highlight the importance of customized intervention for these heterogeneous groups. PMID:29444137

The reasonable effectiveness of mathematics in the natural sciences

NASA Astrophysics Data System (ADS)

Harvey, Alex

2011-12-01

Mathematics and its relation to the physical universe have been the topic of speculation since the days of Pythagoras. Several different views of the nature of mathematics have been considered: Realism—mathematics exists and is discovered; Logicism—all mathematics may be deduced through pure logic; Formalism—mathematics is just the manipulation of formulas and rules invented for the purpose; Intuitionism—mathematics comprises mental constructs governed by self evident rules. The debate among the several schools has major importance in understanding what Eugene Wigner called, The Unreasonable Effectiveness of Mathematics in the Natural Sciences. In return, this `Unreasonable Effectiveness' suggests a possible resolution of the debate in favor of Realism. The crucial element is the extraordinary predictive capacity of mathematical structures descriptive of physical theories.

Basic and advanced numerical performances relate to mathematical expertise but are fully mediated by visuospatial skills.

PubMed

Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi

2016-09-01

Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

Conceptualizing and Measuring Fidelity of Implementation of Secondary Mathematics Textbooks: Results of a Three-Year Study

ERIC Educational Resources Information Center

McNaught, Melissa D.; Tarr, James E.; Sears, Ruthmae

2010-01-01

The purpose of this study was to examine the extent and manner in which teachers use mathematics textbooks in their daily teaching. Specific attention was given to textbook implementation differences related to two types of mathematics textbooks where the mathematical content is organized differently. Only schools where a dual curricular option…

The Mathematics of Tithing: A Study of Religious Giving and Mathematical Development

ERIC Educational Resources Information Center

Taylor, Edd V.

2013-01-01

The purpose of this study was to examine children's mathematical understandings related to participation in tithing (giving 10% of earnings to the church). Observations of church services and events, as well as interviews with parents, children, and church leaders, were analyzed in an effort to capture the ways in which mathematical problem…

The Mathematics of Tithing: A Study of Religious Giving and Mathematical Development

ERIC Educational Resources Information Center

Taylor, Edd V.

2013-01-01

The purpose of this study was to examine children's mathematical understandings related to participation in tithing (giving 10% of earnings to the church). Observations of church services and events, as well as interviews with parents, children, and church leaders, were analyzed in an effort to capture the ways in which mathematical problem…

Effects of Teacher Preparation Courses: Do Graduates Use What They Learned to Plan Mathematics Lessons?

ERIC Educational Resources Information Center

Morris, Anne K.; Hiebert, James

2017-01-01

We investigated whether the content pre-service teachers studied in elementary teacher preparation mathematics courses was related to their performance on a mathematics lesson planning task 2 and 3 years after graduation. The relevant mathematics knowledge was studied when the teachers were freshmen, 5 to 6 years earlier. Results showed that when…

Gender-Related Beliefs and Mathematics Performance of Preservice Primary Teachers

ERIC Educational Resources Information Center

Duru, Adem

2011-01-01

The aim of this study was to examine whether there are gender differences in mathematics achievement and in beliefs about mathematics of preservice teachers over a period of four years. Data were collected from preservice teachers (156 males and 155 females) from the Adiyaman University Faculty of Education in Turkey. The Mathematics as a Gendered…

Preliminary Evaluation Report on the Los Angeles City Schools SB 28 Demonstration Program in Mathematics. CSE Working Paper No. 1.

ERIC Educational Resources Information Center

Gordon, C. Wayne

The objectives of the Los Angeles Model Mathematics Project (LAMMP) are stated by the administration as improvement of mathematical skills and understanding of mathematical concepts; improvement of the pupils' self-image; identification of specific assets and limitations relating to the learning process; development and use of special…

Designing and Teaching the Course "Mathematical View" for Turkish Literature Majors at Duzce University

ERIC Educational Resources Information Center

Kanuni, Muge

2017-01-01

This article deals with giving a perspective of mathematics to students whose majors are not related to mathematics. A course named "Mathematical View" was specifically designed and implemented for this purpose. The course was given to students majoring in the Turkish Language and Literature Department at Duzce University who opted to…

Investigating Grade Nine Textbook Problems for Characteristics Related to Mathematical Literacy

ERIC Educational Resources Information Center

Gatabi, Abolfazl Rafiepour; Stacey, Kaye; Gooya, Zahra

2012-01-01

This study presents a content analysis of the new Iranian Grade 9 mathematics textbook and two Australian Year 9 mathematics textbooks, examining the extent to which the problems show characteristics associated in the literature with promoting mathematical literacy. The new Iranian book was produced to meet a range of needs including several well…

Characteristics of mathematics teaching in Shanghai, China: Through the lens of a Malaysian

NASA Astrophysics Data System (ADS)

Lim, Chap Sam

2007-06-01

The mathematical performance of Chinese students, from mainland China, Hong Kong and Taiwan, is widely acclaimed in international comparisons of mathematics achievement. However, in the eyes of the Western educators, the environments established in Chinese schools are deemed relatively unfavourable for mathematics learning. This paper reports on a study that investigates the characteristics of effective mathematics teaching in five Shanghai schools. Findings reveal that those characteristics include (a) teaching with variation; (b) emphasis of precise and elegant mathematical language; (c) emphasis of logical reasoning, mathematical thinking and proofing during teaching; (d) order and serious classroom discipline; (e) strong and coherence teacher-student rapport, and (f) strong collaborative culture amongst mathematics teachers.

Mathematics Fitness.

ERIC Educational Resources Information Center

Trezise, Kathleen A.

1998-01-01

Students receiving mathematics instruction relevant to life will understand that mathematics is part of the real world and not just another school subject. Presents an activity that integrates rational numbers with health-related science content as students collect data and engage in decision making. (ASK)

Mathematics and the Heart: Understanding Cardiac Output

ERIC Educational Resources Information Center

Champanerkar, Jyoti

2013-01-01

This paper illustrates a biological application of the concepts of relative change and area under a curve, from mathematics. We study two biological measures "relative change in cardiac output" and "cardiac output", which are predictors of heart blockages and other related ailments. Cardiac output refers to the quantity of…

Exploring international gender differences in mathematics self-concept

PubMed Central

Goldman, Amy D.; Penner, Andrew M.

2013-01-01

This study provides an international perspective on mathematics by examnnng mathematics self-concept, achievement, and the desire to enter a career involving mathematics among eighth graders in 49 countries. Using data from the Trends in International Mathematics and Science Study, this study shows that self-concept in mathematics is more closely related to the desire to enter a career using mathematics than achievement is. Further, while gender differences in mathematics self-concept are smaller in more egalitarian countries, both girls and boys have lower mathematics self-concepts and less interest in mathematics careers in these countries. These findings reveal a policy paradox: policies aimed at training the next generation of STEM professionals often highlight the need to close the gender gap, but countries with smaller gender gaps have fewer boys and girls interested in mathematics-intensive careers. We conclude by highlighting the importance of disentangling instrumental and expressive aspects of gender inequality in STEM fields. PMID:27840545

What is the problem in problem-based learning in higher education mathematics

NASA Astrophysics Data System (ADS)

Dahl, Bettina

2018-01-01

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.

Fostering young children's interest in numeracy through demonstration of its value: the Footsteps Study

NASA Astrophysics Data System (ADS)

Colliver, Yeshe

2017-07-01

Children's early mathematical abilities are fundamental to their later academic achievement. An interest in mathematics in the early years is likely to establish a positive attitude to later mathematical learning, hopefully sustaining continued interest in mathematics and mathematical learning. Approaches to early mathematics teaching in the early years, however, are typically adult-initiated, which may fail to capture children's interest. Given the importance of children's motivation and sustained interest, the study described here strove to spark children's interests in mathematical problems in everyday life. The study sought to determine if children would incorporate more numeracy-related concepts into their free play if exposed to adult demonstrations of age-appropriate numeracy activities such as patterning. For at least 15 min three times weekly, participating children's parents and educators demonstrated numeracy problem-solving nearby, while children engaged in other activities. Demonstrations were thought to ascribe social value to the problem-solving activities. If children became interested in participating, adults told them to wait until the demonstrations finished, further indicating social value. Results show these children chose to play with numeracy-related activities in their free play time at preschool significantly more than children in a control group. These results suggest that seeking to foster children's interest in mathematics through child-initiated play, rather than prescribing adult-initiated mathematics activities, may be an important means of laying the foundation for lifelong mathematics learning. Ascribing social value to numeracy applications is proposed as a new approach to teaching mathematics in the early years.

Lack of quantitative training among early-career ecologists: a survey of the problem and potential solutions

PubMed Central

Ezard, Thomas H.G.; Jørgensen, Peter S.; Zimmerman, Naupaka; Chamberlain, Scott; Salguero-Gómez, Roberto; Curran, Timothy J.; Poisot, Timothée

2014-01-01

Proficiency in mathematics and statistics is essential to modern ecological science, yet few studies have assessed the level of quantitative training received by ecologists. To do so, we conducted an online survey. The 937 respondents were mostly early-career scientists who studied biology as undergraduates. We found a clear self-perceived lack of quantitative training: 75% were not satisfied with their understanding of mathematical models; 75% felt that the level of mathematics was “too low” in their ecology classes; 90% wanted more mathematics classes for ecologists; and 95% more statistics classes. Respondents thought that 30% of classes in ecology-related degrees should be focused on quantitative disciplines, which is likely higher than for most existing programs. The main suggestion to improve quantitative training was to relate theoretical and statistical modeling to applied ecological problems. Improving quantitative training will require dedicated, quantitative classes for ecology-related degrees that contain good mathematical and statistical practice. PMID:24688862

Integrating Non-Mathematical Domains into Mathematical Development: Key Factors to Consider in Constructing Effective Interventions

ERIC Educational Resources Information Center

Purpura, David J.; Ganley, Colleen

2013-01-01

The successful acquisition and development of mathematics skills and concepts is a critical aspect of children's early academic growth. The purpose of this study was to systematically evaluate the unique relations of working memory and language to a range of specific early mathematics skills in a sample of preschool and kindergarten age children.…

The Effect of German and Turkish Mathematics Teachers' Teaching Experience on Mathematics Education Values: A Cross-Comparative Study

ERIC Educational Resources Information Center

Dede, Yuksel

2013-01-01

This study reported the specific findings of a larger comparative study concerning Turkish and German mathematics teachers' values. The main focus was on the teaching experience of the mathematics teachers. Interactions related to nationality were also of interest. The research methodology employed in this study was a descriptive study. The…

Gender Difference in Mathematics Achievement and Its Relation with Reading Comprehension of Children at Upper Primary Stage

ERIC Educational Resources Information Center

Anjum, Sabahat

2015-01-01

The progress and prosperity of a country depends on the quality of mathematics taught in its school system. For people to survive and improve the quality of life, basic learning skills, reading, writing, arithmetic and life skills, are necessary and mathematics education is intended to develop these skills. The importance of mathematics transcends…

Comparing Primary and Secondary Mathematics Teachers' Preferences Regarding Values about Mathematics Teaching in Turkey and Germany

ERIC Educational Resources Information Center

Dede, Yüksel

2015-01-01

This study presents a small part of a larger study investigating Turkish and German mathematics teachers' and their students' values (Values in Mathematics Teaching in Turkey and Germany). The main focus of the study was school levels of the teachers working at primary and secondary schools. The interactions related to nationality were also of…

The Role of Mathematical Homework and Prior Knowledge on the Relationship between Students' Mathematical Performance, Cognitive Style and Working Memory Capacity

ERIC Educational Resources Information Center

Mousavi, Shima; Radmehr, Farzad; Alamolhodaei, Hasan

2012-01-01

Introduction: The main objective of this study is (a) to investigate whether cognitive styles and working memory capacity could predict mathematical performance and which variable is relatively most important in predicting mathematical performance and b) to explore whether cognitive styles and working memory capacity could predict mathematical…

Mathematics Anxiety and Mathematics Self-Efficacy in Relation to Medication Calculation Performance in Nurses

ERIC Educational Resources Information Center

Melius, Joyce

2012-01-01

The purpose of this study is to identify and analyze the relationships that exist between mathematics anxiety and nurse self-efficacy for mathematics, and the medication calculation performance of acute care nurses. This research used a quantitative correlational research design and involved a sample of 84 acute care nurses, LVNs and RNs, from a…

Co-Relational Study of Achievement in Mathematics and Students' Academic Performance at the Federal College of Forestry

ERIC Educational Resources Information Center

Appah, O. R.; Ojo, M. O.; Adegbite, R. A.; Adeniyi, O. S.; Oluwatayo, G. K.

2014-01-01

Mathematics serves as a strong reinforcement to most of the courses being offered at the Federal College of Forestry Ibadan, Oyo state, Nigeria. The knowledge gained from mathematics is expected to be applied to the courses offered in the College of Forestry. This study investigated the relationship between the students' score in mathematics and…

The State of Proof in Finnish and Swedish Mathematics Textbooks--Capturing Differences in Approaches to Upper-Secondary Integral Calculus

ERIC Educational Resources Information Center

Bergwall, Andreas; Hemmi, Kirsti

2017-01-01

Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…

The Relationship of Achievement and Attitudes Towards Mathematics in the Elementary School: A Longitudinal Study.

ERIC Educational Resources Information Center

Beattie, Ian D.; And Others

The purpose was to investigate changes in attitudes towards mathematics which occurred over a three year period in relation to mathematics achievement, sex, reading achievement, and I.Q. Scores were obtained for 120 fourth graders in a small school system through the use of an attitude scale (adapted from a School Mathematics Study Group (SMSG)…

Content-Related Evidence for Validity for Mathematics Tests: Teacher Review. Technical Report # 42

ERIC Educational Resources Information Center

Martinez, Martha I.; Ketterlin-Geller, Leanne; Tindal, Gerald

2007-01-01

Behavioral Research and Teaching (BRT) has developed a series of mathematics tests to assist local school districts in identifying students in grades 1-8 who may be at risk of not meeting year-end mathematics achievement goals. The tests were developed using the state mathematics standards for the relevant grade levels and administered to students…

Exploration of Pre-Service Teachers' Beliefs in Relation to Mathematics Teaching Activities in Classroom-Based Setting

ERIC Educational Resources Information Center

Kul, Umit; Celik, Sedef

2017-01-01

This paper has been conducted to determine future teachers' mathematical beliefs and to explore the relationship between their mathematical beliefs and initial teaching practice in a classroom setting, in terms of how they design the content of teaching activities, they employed the style of teaching in mathematics, and they engaged with pupils. A…

Why Should Mathematics Educators Learn from and about Latina/o Students' In-School and Out-of-School Experiences?

ERIC Educational Resources Information Center

Civil, Marta

2014-01-01

University of Arizona's Marta Civil has been studying the complexities of bridging in-school and out-of-school mathematics for some time, during which she has raised specific questions related to connecting in-school and out-of-school mathematics (Civil, 2002, 2007, 2014). These questions have to do with "What is mathematics?"…

Educating in Place: Mathematics and Technology. Working Paper No. 38

ERIC Educational Resources Information Center

Klein, Robert

2007-01-01

This paper focuses on the tension between the idea that "mathematics is everywhere" and the idea that it is so difficult to craft meaningful, place-based, mathematics lessons. The approach is through an exploration of the nature of place and mathematics, what they are, how they relate, and ways of engaging the two through a pedagogical turn guided…

Mathematical Skills and Motor Life Skills in Toddlers: Do Differences in Mathematical Skills Reflect Differences in Motor Skills?

ERIC Educational Resources Information Center

Reikerås, Elin; Moser, Thomas; Tønnessen, Finn Egil

2017-01-01

This study examines possible relations between early mathematical skills and motor life skills in 450 toddlers aged two years and nine months. The study employs baseline data from the longitudinal Stavanger Project--The Learning Child. The children's mathematical skills and motor life skills were assessed by structured observation in the natural…

Researching Race in Mathematics Education

ERIC Educational Resources Information Center

Martin, Danny Bernard

2009-01-01

Background: Within mathematics education research, policy, and practice, race remains undertheorized in relation to mathematics learning and participation. Although race is characterized in the sociological and critical theory literatures as socially and politically constructed with structural expressions, most studies of differential outcomes in…

Mathematics Classrooms in Japan, Taiwan, and the United States.

ERIC Educational Resources Information Center

Stigler, James W.; And Others

1987-01-01

Studies were conducted in Chinese, Japanese, and American classrooms during mathematics classes. Large cross-cultural differences were found in variables related to classroom structure and management. These paralleled differences in mathematics achievement among China, Japan, and the United States. (PCB)

How to begin a new topic in mathematics: does it matter to students' performance in mathematics?

PubMed

Ma, Xin; Papanastasiou, Constantinos

2006-08-01

The authors use Canadian data from the Third International Mathematics and Science Study to examine six instructional methods that mathematics teachers use to introduce new topics in mathematics on performance of eighth-grade students in six mathematical areas (mathematics as a whole, algebra, data analysis, fraction, geometry, and measurement). Results of multilevel analysis with students nested within schools show that the instructional methods of having the teacher explain the rules and definitions and looking at the textbook while the teacher talks about it had little instructional effects on student performance in any mathematical area. In contrast, the instructional method in which teachers try to solve an example related to the new topic was effective in promoting student performance across all mathematical areas.

Cognition, emotion, and arithmetic in primary school: A cross-cultural investigation.

PubMed

Rodic, Maja; Cui, Jiaxin; Malykh, Sergey; Zhou, Xinlin; Gynku, Elena I; Bogdanova, Elena L; Zueva, Dina Y; Y Bogdanova, Olga; Kovas, Yulia

2018-06-01

The study investigated cross-cultural differences in variability and average performance in arithmetic, mathematical reasoning, symbolic and non-symbolic magnitude processing, intelligence, spatial ability, and mathematical anxiety in 890 6- to 9-year-old children from the United Kingdom, Russia, and China. Cross-cultural differences explained 28% of the variance in arithmetic and 17.3% of the variance in mathematical reasoning, with Chinese children outperforming the other two groups. No cross-cultural differences were observed for spatial ability and mathematical anxiety. In all samples, symbolic magnitude processing and mathematical reasoning were independently related to early arithmetic. Other factors, such as non-symbolic magnitude processing, mental rotation, intelligence, and mathematical anxiety, produced differential patterns across the populations. The results are discussed in relation to potential influences of parental practice, school readiness, and linguistic factors on individual differences in early mathematics. Statement of contribution What is already known on this subject? Cross-cultural differences in mathematical ability are present in preschool children. Similar mechanisms of mathematical development operate in preschool children from the United Kingdom, Russia, and China. Tasks that require understanding of numbers are best predictors of arithmetic in preschool children. What does this study add? Cross-cultural differences in mathematical ability become greater with age/years of formal education. Similar mechanisms of mathematical development operate in early primary school children from the United Kingdom, Russia, and China. Symbolic number magnitude and mathematical reasoning are the main predictors of arithmetic in all three populations. © 2018 The Authors British Journal of Developmental Psychology published by John Wiley & Sons Ltd on behalf of British Psychological Society.

The relation between learning mathematics and students' competencies in undesrtanding texts

NASA Astrophysics Data System (ADS)

Hapipi, Azmi, Syahrul; Sripatmi, Amrullah

2017-08-01

This study was a descriptive study that aimed to gain an overview on the relation between learning mathematics and students' competencies in understanding texts. This research was classified as an ex post facto study due in part to the variable studied is the variable that was already happening. While the technique of taking the sample using stratified proportional sampling techniques. These techniques have been selected for the condition of the population, in the context of learning mathematics, diverse and also tiered. The results of this study indicate that there is a relationship between learning mathematics and students' competencies in understanding texts.

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

Mathematics and the surgeon.

PubMed Central

Crank, J.

1976-01-01

The surgeon uses elementary mathematics just as much as any other educated layman. In his professional life, however, much of the knowledge and skill on which he relies has had a mathematical strand in its development, possibly woven into the supporting disciplines such as physics, chemistry, biology, and bioengineering. The valves and limitations of mathematical models are examined briefly in the general medical field and particularly in relation to the surgeon. Arithmetic and statistics are usually regarded as the most immediately useful parts of mathematics. Examples are cited, however, of medical postgraduate work which uses other highly advanced mathematical techniques. The place of mathematics in postgraduate and postexperience teaching courses is touched on. The role of a mathematical consultant in the medical team is discussed. PMID:942167

[MATHEMATICS AT THE LVOV POLYTECHNIC UP TO 1945].

PubMed

Duda, Roman

2014-01-01

The article recalls the story of the Lvov Polytechnic and of mathematical chairs there in the period 1844-1945. The chairmen and some of their collaborators are recalled as well as their close relations with and contributions to the Lvov Schools of Mathematics.

Undergraduate Mathematics Students' Pronumeral Misconceptions

ERIC Educational Resources Information Center

Bardini, Caroline; Vincent, Jill; Pierce, Robyn; King, Deborah

2014-01-01

Despite an emphasis on manipulative algebraic techniques in secondary school algebra, many tertiary mathematics students have mastered these skills without conceptual understanding. A significant number of students with high tertiary entrance ranks enrolled in first semester university mathematics were found to have misconceptions relating to…

[Collected Papers on Mathematics.

ERIC Educational Resources Information Center

Connell, Michael L., Ed.

This document contains the following papers on issues related to mathematics in technology and teacher education: "A Case for Strong Conceptualization in Technology Enhanced Mathematics Instruction" (Michael L. Connell and Delwyn L. Harnisch); "Faculty/Student Collaboration in Education and Math--Using the Web To Improve Student…

Authority, Identity, and Collaborative Mathematics

ERIC Educational Resources Information Center

Langer-Osuna, Jennifer M.

2017-01-01

The field of mathematics education research has seen a resurgence of interest in understanding collaborative learning because students in K-12 classrooms are increasingly expected to make sense of mathematics problems together. This Research Commentary argues for the importance of understanding student authority relations in collaborative…

Mathematics education practice in Nigeria: Its impact in a post-colonial era

NASA Astrophysics Data System (ADS)

Enime, Noble O. J.

This qualitative research method of study examined the impacts of the Nigerian pre-independence era Mathematics Education Practice on the Post-Colonial era Mathematics Education Practice. The study was designed to gather qualitative information related to Pre-independence and Postcolonial era data related to Mathematics Education Practice in Nigeria (Western, Eastern and the Middle Belt) using interview questions. Data was collected through face to face interviews. Over ten themes emerged from these qualitative interview questions when data was analyzed. Some of the themes emerging from the sub questions were as follows. "Mentally mature to understand the mathematics" and "Not mentally mature to understand the mathematics", "mentally mature to understand the mathematics, with the help of others" and "Not Sure". Others were "Contented with Age of Enrollment" and "Not contented with Age of Enrollment". From the questions of type of school attended and liking of mathematics the following themes emerged: "Attended UPE (Universal Primary Education) and understood Mathematics", and "Attended Standard Education System and did not like Mathematics". Connections between the liking of mathematics and the respondents' eventual careers were seen through the following themes that emerged. "Biological Sciences based career and enjoyed High School Mathematics Experience", "Economics and Business Education based career and enjoyed High School Mathematics Experience" and five more themes. The themes, "Very helpful" and "Unhelpful" emerged from the question concerning parents and students' homework. Some of the themes emerging from the interviews were as follows: "Awesome because of method of Instruction of Mathematics", "Awesome because Mathematics was easy", "Awesome because I had a Good Teacher or Teachers" and four other themes, "Like and dislike of Mathematics", "Heavy work load", "Subject matter content" and "Rigor of instruction". More emerging themes are presented in this document in Chapter IV. The emerging themes suggested that the influence Nigerian Colonial era Mathematics Education Practice had on the independent Nigerian state is yet to completely diminish. The following are among the conclusions drawn n from the study. Student's enrollment age appeared to generally have an influence over the performance in mathematics at all levels of school. Also, students that had encouraging parents were likely to enjoy learning mathematics, while students that attended mission schools were likely to be successful in mathematics. The students whose parents were educated were likely to be successful in Mathematics.

Power Pacs for Teaching Home Economics Related Science and Math.

ERIC Educational Resources Information Center

Ohio State Dept. of Education, Columbus. Div. of Vocational Education.

This guide contains materials designed to assist teachers and students in home economics related courses with mastery of job-related mathematics, science, and behavioral science. The 40 Power Pacs are divided into mathematics (16 Power Pacs), science (15), and behavioral science (9). Each Power Pac contains teacher materials and student materials.…

Geometry-Related Children's Literature Improves the Geometry Achievement and Attitudes of Second-Grade Students

ERIC Educational Resources Information Center

McAndrew, Erica M.; Morris, Wendy L.; Fennell, Francis

2017-01-01

Use of mathematics-related literature can engage students' interest and increase their understanding of mathematical concepts. A quasi-experimental study of two second-grade classrooms assessed whether daily inclusion of geometry-related literature in the classroom improved attitudes toward geometry and achievement in geometry. Consistent with the…

Relations among Five Radii of Circles in a Triangle, Its Sides and Other Segments

ERIC Educational Resources Information Center

Sigler, Avi; Stupel, Moshe; Flores, Alfinio

2017-01-01

Students use GeoGebra to explore the mathematical relations among different radii of circles in a triangle (circumcircle, incircle, excircles) and the sides and other segments in the triangle. The more formal mathematical development of the relations that follows the explorations is based on known geometrical properties, different formulas…

The Relation between Students' Math and Reading Ability and Their Mathematics, Physics, and Chemistry Examination Grades in Secondary Education

ERIC Educational Resources Information Center

Korpershoek, Hanke; Kuyper, Hans; van der Werf, Greetje

2015-01-01

Word problems are math- or science-related problems presented in the context of a story or real-life scenario. Literature suggests that, to solve these problems, advanced reading skills are required, in addition to content-related skills in, for example, mathematics. In the present study, we investigated the relation between students' reading…

Girls and Mathematics: Parental Variables.

ERIC Educational Resources Information Center

Stamp, Peggy

1979-01-01

Girls taking A-level mathematics were compared with girls taking A-level French on masculinity/femininity, parental identification, and attitudes toward their school subjects. Subject choice was related to both parents' attitudes, but subject attitudes related only to the mothers' attitudes. (Editor/SJL)

Mathematics and Demography.

ERIC Educational Resources Information Center

Schwartz, Richard

1992-01-01

Suggests that teachers use mathematics problems related to the "1992 World Population Data Sheet" to teach students about such population-related issues as hunger, resource scarcity, poverty, and pollution. Offers sample problems involving percents, ratios, basic calculations, sequences, variability, graphs, averages, and correlation. Includes a…

Scale and the evolutionarily based approximate number system: an exploratory study

NASA Astrophysics Data System (ADS)

Delgado, Cesar; Jones, M. Gail; You, Hye Sun; Robertson, Laura; Chesnutt, Katherine; Halberda, Justin

2017-05-01

Crosscutting concepts such as scale, proportion, and quantity are recognised by U.S. science standards as a potential vehicle for students to integrate their scientific and mathematical knowledge; yet, U.S. students and adults trail their international peers in scale and measurement estimation. Culturally based knowledge of scale such as measurement units may be built on evolutionarily-based systems of number such as the approximate number system (ANS), which processes approximate representations of numerical magnitude. ANS is related to mathematical achievement in pre-school and early elementary students, but there is little research on ANS among older students or in science-related areas such as scale. Here, we investigate the relationship between ANS precision in public school U.S. seventh graders and their accuracy estimating the length of standard units of measurement in SI and U.S. customary units. We also explored the relationship between ANS and science and mathematics achievement. Accuracy estimating the metre was positively and significantly related to ANS precision. Mathematics achievement, science achievement, and accuracy estimating other units were not significantly related to ANS. We thus suggest that ANS precision may be related to mathematics understanding beyond arithmetic, beyond the early school years, and to the crosscutting concepts of scale, proportion, and quantity.

Mathematics/Science Education and Technology, 1994. Proceedings of the International Symposium on Mathematics/Science Education and Technology (San Diego, California, July 21-23, 1994).

ERIC Educational Resources Information Center

Marks, Gary H., Ed.

The primary purpose of the 1994 Mathematics/Science Education and Technology Symposium was to help foster the exchange of information related to the research, development, and applications of learning and teaching using information technology in mathematics and science educations. The theme "Emerging Issues and Trends" was identified to…

Is Mathematical Anxiety Always Bad for Math Learning: The Role of Math Motivation

PubMed Central

Wang, Zhe; Lukowski, Sarah L.; Hart, Sara Ann; Lyons, Ian M.; Thompson, Lee A.; Kovas, Yulia; Mazzocco, Michèle M.; Plomin, Robert; Petrill, Stephen A.

2015-01-01

The linear relations between math anxiety and math cognition have been frequently studied. However, the relations between anxiety and performance on complex cognitive tasks have been repeatedly demonstrated to follow a curvilinear fashion. Given the lack of attention to the possibility of such complex interplay between emotion and cognition in the math learning literature, the current study aimed to address this gap via exploring the relations between math anxiety, math motivation, and math cognition. The current study consisted of two samples. One sample included 262 pairs of young adolescent twins and the other included 237 adult college students. Participants self-reported their math anxiety and math motivation. Math cognition was assessed using a comprehensive battery of mathematics tasks. In both samples, results showed inverted-U relations between math anxiety and math performance in students with high intrinsic math motivation, and modest negative associations between math anxiety and math performance in students with low intrinsic math motivation. However, this pattern was not observed in tasks assessing student’s nonsymbolic and symbolic number estimation. These findings may help advance our understanding of mathematics learning processes and may provide important insights for treatment programs that target improving mathematics learning experiences and mathematical skills. PMID:26518438

The influence of Missouri mathematics project on seventh grade students’ mathematical understanding ability

NASA Astrophysics Data System (ADS)

Rezeki, S.; Setyawan, A. A.; Amelia, S.

2018-01-01

Mathematical understanding ability is a primary goal of Indonesian national education goals. However, various sources has shown that Indonesian students’ mathematical understanding ability is still relatively low. This study used quasi-experimental research design to examine the effectiveness of the application of Missouri Mathematics Project (MMP) on students’ mathematical understanding ability. The participants of the study were seventh grade students in Pekanbaru, Riau Province, Indonesia. They were selected purposively and represented as high, medium, and low-quality schools. The result of this study indicated that there was a significant effect of MMP on the overall students’ mathematical understanding ability and in all categories, except for low school level.

Mathematics Anxiety: What Have We Learned in 60 Years?

PubMed

Dowker, Ann; Sarkar, Amar; Looi, Chung Yen

2016-01-01

The construct of mathematics anxiety has been an important topic of study at least since the concept of "number anxiety" was introduced by Dreger and Aiken (1957), and has received increasing attention in recent years. This paper focuses on what research has revealed about mathematics anxiety in the last 60 years, and what still remains to be learned. We discuss what mathematics anxiety is; how distinct it is from other forms of anxiety; and how it relates to attitudes to mathematics. We discuss the relationships between mathematics anxiety and mathematics performance. We describe ways in which mathematics anxiety is measured, both by questionnaires, and by physiological measures. We discuss some possible factors in mathematics anxiety, including genetics, gender, age, and culture. Finally, we describe some research on treatment. We conclude with a brief discussion of what still needs to be learned.

Does Early Mathematics Intervention Change the Processes Underlying Children’s Learning?

PubMed Central

Watts, Tyler W.; Clements, Douglas H.; Sarama, Julie; Wolfe, Christopher B.; Spitler, Mary Elaine; Bailey, Drew H.

2017-01-01

Early educational intervention effects typically fade in the years following treatment, and few studies have investigated why achievement impacts diminish over time. The current study tested the effects of a preschool mathematics intervention on two aspects of children’s mathematical development. We tested for separate effects of the intervention on “state” (occasion-specific) and “trait” (relatively stable) variability in mathematics achievement. Results indicated that, although the treatment had a large impact on state mathematics, the treatment had no effect on trait mathematics, or the aspect of mathematics achievement that influences stable individual differences in mathematics achievement over time. Results did suggest, however, that the intervention could affect the underlying processes in children’s mathematical development by inducing more transfer of knowledge immediately following the intervention for students in the treated group. PMID:29399243

Mathematical Skills in Prader-Willi Syndrome

ERIC Educational Resources Information Center

Bertella, L.; Girelli, L.; Grugni, G.; Marchi, S.; Molinari, E.; Semenza, C.

2005-01-01

This paper investigates mathematical skills in Prader-Willi Syndrome (PWS), a pathological condition because of congenital alterations of chromosome pair 15. The following questions were addressed: (1) Are mathematical skills in PWS relatively more impaired with respect to other cognitive functions (as has been repeatedly but anecdotally…

Mathematics Education as a Practice: A Theoretical Position

ERIC Educational Resources Information Center

Grootenboer, Peter; Edwards-Groves, Christine

2013-01-01

In this paper we will examine mathematics education using practice theory. We outline the theoretical and philosophical ideas that have been developed, and in particular, we discuss the "sayings," "doings," and "relatings" inherent in the teaching and learning practices of mathematics education. This theorising is…

A Cryptological Way of Teaching Mathematics

ERIC Educational Resources Information Center

Caballero-Gil, Pino; Bruno-Castaneda, Carlos

2007-01-01

This work addresses the subject of mathematics education at secondary schools from a current and stimulating point of view intimately related to computational science. Cryptology is a captivating way of introducing into the classroom different mathematical subjects such as functions, matrices, modular arithmetic, combinatorics, equations,…

14 CFR 1260.12 - Choice of award instrument.

Code of Federal Regulations, 2013 CFR

2013-01-01

... improving student performance in science, mathematics, technology, or related fields; (ii) Enhancing the skill, knowledge, or ability of teachers or faculty members in science, mathematics, or technology; (iii... participation and/or to enhance performance in science, mathematics, or technology education at all levels; and...

14 CFR 1260.12 - Choice of award instrument.

Code of Federal Regulations, 2011 CFR

2011-01-01

... improving student performance in science, mathematics, technology, or related fields; (ii) Enhancing the skill, knowledge, or ability of teachers or faculty members in science, mathematics, or technology; (iii... participation and/or to enhance performance in science, mathematics, or technology education at all levels; and...

14 CFR 1260.12 - Choice of award instrument.

Code of Federal Regulations, 2010 CFR

2010-01-01

... improving student performance in science, mathematics, technology, or related fields; (ii) Enhancing the skill, knowledge, or ability of teachers or faculty members in science, mathematics, or technology; (iii... participation and/or to enhance performance in science, mathematics, or technology education at all levels; and...

Technical Mathematics: Restructure of Technical Mathematics.

ERIC Educational Resources Information Center

Flannery, Carol A.

Designed to accompany a series of videotapes, this textbook provides information, examples, problems, and solutions relating to mathematics and its applications in technical fields. Chapter I deals with basic arithmetic, providing information on fractions, decimals, ratios, proportions, percentages, and order of operations. Chapter II focuses on…

Investigations in Mathematics Education, Vol. 10, No. 3.

ERIC Educational Resources Information Center

Osborne, Alan R., Ed.

Eighteen research reports related to mathematics education are abstracted and analyzed in this publication. Three of the reports deal with aspects of learning theory, seven with topics in mathematics instruction (problem solving, weight, quadratic inequalities, probability and statistics, area and volume conservation, cardinality), five with…

Mathematics Efficacy and Professional Development Needs of Wyoming Agricultural Education Teachers

ERIC Educational Resources Information Center

Haynes, J. Chris; Stripling, Christopher T.

2014-01-01

School-based agricultural education programs provide contextualized learning environments for the teaching of core academic subject matter. This study sought to examine the mathematics efficacy and professional development needs of Wyoming agricultural education teachers related to teaching contextualized mathematics. Wyoming agricultural…

South Dakota Middle School Mathematics Teachers' Perceptions of Teaching Competencies

ERIC Educational Resources Information Center

Bleecker, Heather A.

2017-01-01

This quantitative research study investigates South Dakota middle school (grades 5-8) mathematics teachers' perceptions of teaching competencies including general pedagogical knowledge (GPK) and mathematical pedagogical content knowledge (MPCK). The study also considered how teacher characteristics relate to teacher competencies. The study…

Investigations in Mathematics Education, Vol. 13, No. 4.

ERIC Educational Resources Information Center

Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed.

Thirteen research reports related to mathematics education are abstracted and critiqued in this publication. The topics of the research include counting, addition, subtraction, ratio, proportion, geometry, problem solving, and teaching strategies. Also included is an editorial comment by T. Kieren on mathematics education research. Research…

Understanding words, understanding numbers: an exploration of the mathematical profiles of poor comprehenders.

PubMed

Pimperton, Hannah; Nation, Kate

2010-06-01

Poor comprehenders are children who show significant deficits in their reading comprehension performance, despite average, or above-average word reading ability. To date, there have been no in-depth studies of the mathematical performance profiles of such children. This study aimed to explore the mathematical profiles of poor comprehenders. Given that language impairment is associated with difficulties with mathematics, and that poor comprehenders tend to have oral language weaknesses, we hypothesized that poor comprehenders would show relative weaknesses in aspects of mathematical performance. From a sample of 109 children aged 7-8 years, we selected 14 poor comprehenders and 14 controls with age-appropriate reading comprehension ability. The groups were matched on non-verbal ability, multiple measures of reading accuracy, and chronological age. We compared the performance of the group of poor comprehenders with that of the matched controls on two standardized measures of mathematical ability, one measuring procedural arithmetic prowess and the other tapping higher-level mathematical reasoning. Although there were no group differences in performance on the arithmetic measure, the poor comprehenders showed significantly lower scores than the controls on the mathematical reasoning task. The poor comprehenders exhibited impaired verbal ability relative to controls, with these differences in verbal ability associated with the group differences found on the test of mathematical reasoning. Poor comprehenders' deficits are not limited to the domain of literacy; their underlying profile of impairments also seems to selectively impact on certain components of mathematical ability.

Contribution of Auditory Learning Style to Students’ Mathematical Connection Ability

NASA Astrophysics Data System (ADS)

Karlimah; Risfiani, F.

2017-09-01

This paper presents the results of the research on the relation of mathematical concept with mathematics, other subjects, and with everyday life. This research reveals study result of the students who had auditory learning style and correlates it with their ability of mathematical connection. In this research, the researchers used a combination model or sequential exploratory design method, which is the use of qualitative and quantitative research methods in sequence. The result proves that giving learning facilities which are not suitable for the class whose students have the auditory learning style results in the barely sufficient math connection ability. The average mathematical connection ability of the auditory students was initially in the medium level of qualification. Then, the improvement in the form of the varied learning that suited the auditory learning style still showed the average ability of mathematical connection in medium level of qualification. Nevertheless, there was increase in the frequency of students in the medium level of qualification and decrease in the very low and low level of qualification. This suggests that the learning facilities, which are appropriate for the student’s auditory learning style, contribute well enough to the students’ mathematical connection ability. Therefore, the mathematics learning for students who have an auditory learning style should consist of particular activity that is understanding the concepts of mathematics and their relations.

Mathematics anxiety affects counting but not subitizing during visual enumeration.

PubMed

Maloney, Erin A; Risko, Evan F; Ansari, Daniel; Fugelsang, Jonathan

2010-02-01

Individuals with mathematics anxiety have been found to differ from their non-anxious peers on measures of higher-level mathematical processes, but not simple arithmetic. The current paper examines differences between mathematics anxious and non-mathematics anxious individuals in more basic numerical processing using a visual enumeration task. This task allows for the assessment of two systems of basic number processing: subitizing and counting. Mathematics anxious individuals, relative to non-mathematics anxious individuals, showed a deficit in the counting but not in the subitizing range. Furthermore, working memory was found to mediate this group difference. These findings demonstrate that the problems associated with mathematics anxiety exist at a level more basic than would be predicted from the extant literature. Copyright 2009 Elsevier B.V. All rights reserved.

Assessment of School Factors Related to Academic Achievement in Mathematics among Secondary School Students of Masaba South Sub County, Kenya

ERIC Educational Resources Information Center

Onderi, Peter Omae; Okwara, Michael Okello; Raburu, Pam; Barongo, Samson; Mokaya, Evans; Mokogi, Henry; Omae, David

2015-01-01

Performance in mathematics in Masaba Sub-County, Kenya has been poor for many years. In 2010 the mean score was 3.2282, while in 2011 it had a mean score of 3.9528 and in 2012 it had a mean of 4.0660 which is far below the maximum mean of 12.00. The purpose of this study was to assess factors related to academic achievement in mathematics in…

Respectful and Responsive Pedagogies for Mathematics and Statistics

ERIC Educational Resources Information Center

Averill, Robin; Clarke, Megan

2013-01-01

Teacher respect, important within culturally responsive practice, has seldom been explored in relation to mathematical pedagogy. Our study involving interviews, surveys, and lesson videos with Year 12 and 13 New Zealand mathematics students and teachers indicated specific pedagogical behaviours are important for demonstrating respect for students…

Mathematics Learning Development: The Role of Long-Term Retrieval

ERIC Educational Resources Information Center

Calderón-Tena, Carlos O.; Caterino, Linda C.

2016-01-01

This study assessed the relation between long-term memory retrieval and mathematics calculation and mathematics problem solving achievement among elementary, middle, and high school students in nationally representative sample of US students, when controlling for fluid and crystallized intelligence, short-term memory, and processing speed. As…

Manitoba Mathematics Assessment Program, 1981. Final Report.

ERIC Educational Resources Information Center

Manitoba Dept. of Education, Winnipeg.

This document contains conclusions, recommendations, a summary of results, and interpretations of the 1981 Mathematics Assessment Program. The Assessment Program involved the production of achievement tests and teacher questionnaires for the third, sixth, ninth, and twelth-grade students. These were a test related to general mathematics skills,…

The Mathematics of Medical Imaging in the Classroom

ERIC Educational Resources Information Center

Funkhouser, Charles P.; Jafari, Farhad; Eubank, William B.

2002-01-01

The article presents an integrated exposition of aspects of secondary school mathematics and a medical science specialty together with related classroom activities. Clinical medical practice and theoretical and empirical literature in mathematics education and radiology were reviewed to develop and pilot model integrative classroom topics and…

Mathematical Problem Solving through Sequential Process Analysis

ERIC Educational Resources Information Center

Codina, A.; Cañadas, M. C.; Castro, E.

2015-01-01

Introduction: The macroscopic perspective is one of the frameworks for research on problem solving in mathematics education. Coming from this perspective, our study addresses the stages of thought in mathematical problem solving, offering an innovative approach because we apply sequential relations and global interrelations between the different…

Principals' Leadership Practices and Mathematics Pass Rate in Jamaican High Schools

ERIC Educational Resources Information Center

Palmer, David; Hermond, Douglas; Gardiner, Carl

2014-01-01

This research was intended to explore the degree to which leadership practices impacted Jamaican schools' mathematics achievement. More specifically, the researchers examined Jamaica's high school students' CSEC mathematics performance in relation to principals' instructional leadership behaviors as measured by teachers' perceptions, using Kouzes…

International note: Are Emirati parents' attitudes toward mathematics linked to their adolescent children's attitudes toward mathematics and mathematics achievement?

PubMed

Areepattamannil, Shaljan; Khine, Myint Swe; Melkonian, Michael; Welch, Anita G; Al Nuaimi, Samira Ahmed; Rashad, Fatimah F

2015-10-01

Drawing on data from the 2012 Program for International Student Assessment (PISA) and employing multilevel modeling as an analytic strategy, this study examined the relations of adolescent children's perceptions of their parents' attitudes towards mathematics to their own attitudes towards mathematics and mathematics achievement among a sample of 5116 adolescents from 384 schools in the United Arab Emirates. The results of this cross-sectional study revealed that adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children not only to study but also for their career tended to report higher levels of intrinsic and instrumental motivation to learn mathematics, mathematics self-concept and self-efficacy, and mathematics work ethic. Moreover, adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children's career tended to report positive intentions and behaviors toward mathematics. However, adolescents who perceived that their parents considered mathematics was important for their children's career tended to report higher levels of mathematics anxiety. Finally, adolescents who perceived that their parents considered mathematics was important for their children to study performed significantly better on the mathematics assessment than did their peers whose parents disregarded the importance of learning mathematics. Copyright © 2015 The Foundation for Professionals in Services for Adolescents. Published by Elsevier Ltd. All rights reserved.

Functions and Relations: Some Applications from Database Management for the Teaching of Classroom Mathematics.

ERIC Educational Resources Information Center

Hauge, Sharon K.

While functions and relations are important concepts in the teaching of mathematics, research suggests that many students lack an understanding and appreciation of these concepts. The present paper discusses an approach for teaching functions and relations that draws on the use of illustrations from database management. This approach has the…

An Investigation into the Affective Profiles of Girls from Single-Sex and Co-Educational Schools, as They Relate to the Learning of Mathematics.

ERIC Educational Resources Information Center

Walter, Howard Maurice

Central to this dissertation is an attempt to investigate whether or not a single-sex environment has a positive impact upon girls' attitudes and beliefs, as they pertain to the learning of mathematics. All learners of mathematics are enveloped by the social practices pertaining to both mathematics and society at large. Underlying these social…

The Dependence on Mathematical Theory in TIMSS, PISA and TIMSS Advanced Test Items and Its Relation to Student Achievement

ERIC Educational Resources Information Center

Hole, Arne; Grønmo, Liv Sissel; Onstad, Torgeir

2018-01-01

Background: This paper discusses a framework for analyzing the dependence on mathematical theory in test items, that is, a framework for discussing to what extent knowledge of mathematical theory is helpful for the student in solving the item. The framework can be applied to any test in which some knowledge of mathematical theory may be useful,…

The language of mathematics: investigating the ways language counts for children's mathematical development.

PubMed

Vukovic, Rose K; Lesaux, Nonie K

2013-06-01

This longitudinal study examined how language ability relates to mathematical development in a linguistically and ethnically diverse sample of children from 6 to 9 years of age. Study participants were 75 native English speakers and 92 language minority learners followed from first to fourth grades. Autoregression in a structural equation modeling (SEM) framework was used to evaluate the relation between children's language ability and gains in different domains of mathematical cognition (i.e., arithmetic, data analysis/probability, algebra, and geometry). The results showed that language ability predicts gains in data analysis/probability and geometry, but not in arithmetic or algebra, after controlling for visual-spatial working memory, reading ability, and sex. The effect of language on gains in mathematical cognition did not differ between language minority learners and native English speakers. These findings suggest that language influences how children make meaning of mathematics but is not involved in complex arithmetical procedures whether presented with Arabic symbols as in arithmetic or with abstract symbols as in algebraic reasoning. The findings further indicate that early language experiences are important for later mathematical development regardless of language background, denoting the need for intensive and targeted language opportunities for language minority and native English learners to develop mathematical concepts and representations. Copyright © 2013. Published by Elsevier Inc.

Explanatory model of emotional-cognitive variables in school mathematics performance: a longitudinal study in primary school.

PubMed

Cerda, Gamal; Pérez, Carlos; Navarro, José I; Aguilar, Manuel; Casas, José A; Aragón, Estíbaliz

2015-01-01

This study tested a structural model of cognitive-emotional explanatory variables to explain performance in mathematics. The predictor variables assessed were related to students' level of development of early mathematical competencies (EMCs), specifically, relational and numerical competencies, predisposition toward mathematics, and the level of logical intelligence in a population of primary school Chilean students (n = 634). This longitudinal study also included the academic performance of the students during a period of 4 years as a variable. The sampled students were initially assessed by means of an Early Numeracy Test, and, subsequently, they were administered a Likert-type scale to measure their predisposition toward mathematics (EPMAT) and a basic test of logical intelligence. The results of these tests were used to analyse the interaction of all the aforementioned variables by means of a structural equations model. This combined interaction model was able to predict 64.3% of the variability of observed performance. Preschool students' performance in EMCs was a strong predictor for achievement in mathematics for students between 8 and 11 years of age. Therefore, this paper highlights the importance of EMCs and the modulating role of predisposition toward mathematics. Also, this paper discusses the educational role of these findings, as well as possible ways to improve negative predispositions toward mathematical tasks in the school domain.

Typology of engineering mathematics learners in a Singapore polytechnic: a socio-psychological perspective

NASA Astrophysics Data System (ADS)

Khiat, Henry

2012-03-01

This study aims to understand how engineering mathematics students form intentions in mathematics learning from a socio-psychological perspective. A grounded theory approach was adopted and 21 engineering students and six tutors participated in the study. The main findings in this study show that a student's intention in engineering mathematics learning is made up of a number of sequential components - their critical trigger, internalized significance, aim and perceived intention-related consequences in engineering mathematics learning. Accordingly, the participants may be broadly classified into five types of learners: idealistic learners, competitive learners, pragmatic learners, fatalistic learners and dissonant learners according to their intentions in engineering mathematics learning.

Modeling discrete and continuous entities with fractions and decimals.

PubMed

Rapp, Monica; Bassok, Miriam; DeWolf, Melissa; Holyoak, Keith J

2015-03-01

When people use mathematics to model real-life situations, their use of mathematical expressions is often mediated by semantic alignment (Bassok, Chase, & Martin, 1998): The entities in a problem situation evoke semantic relations (e.g., tulips and vases evoke the functionally asymmetric "contain" relation), which people align with analogous mathematical relations (e.g., the noncommutative division operation, tulips/vases). Here we investigate the possibility that semantic alignment is also involved in the comprehension and use of rational numbers (fractions and decimals). A textbook analysis and results from two experiments revealed that both mathematic educators and college students tend to align the discreteness versus continuity of the entities in word problems (e.g., marbles vs. distance) with distinct symbolic representations of rational numbers--fractions versus decimals, respectively. In addition, fractions and decimals tend to be used with nonmetric units and metric units, respectively. We discuss the importance of the ontological distinction between continuous and discrete entities to mathematical cognition, the role of symbolic notations, and possible implications of our findings for the teaching of rational numbers. PsycINFO Database Record (c) 2015 APA, all rights reserved.

Mathematics Anxiety: What Have We Learned in 60 Years?

PubMed Central

Dowker, Ann; Sarkar, Amar; Looi, Chung Yen

2016-01-01

The construct of mathematics anxiety has been an important topic of study at least since the concept of “number anxiety” was introduced by Dreger and Aiken (1957), and has received increasing attention in recent years. This paper focuses on what research has revealed about mathematics anxiety in the last 60 years, and what still remains to be learned. We discuss what mathematics anxiety is; how distinct it is from other forms of anxiety; and how it relates to attitudes to mathematics. We discuss the relationships between mathematics anxiety and mathematics performance. We describe ways in which mathematics anxiety is measured, both by questionnaires, and by physiological measures. We discuss some possible factors in mathematics anxiety, including genetics, gender, age, and culture. Finally, we describe some research on treatment. We conclude with a brief discussion of what still needs to be learned. PMID:27199789

Subject design and factors affecting achievement in mathematics for biomedical science

NASA Astrophysics Data System (ADS)

Carnie, Steven; Morphett, Anthony

2017-01-01

Reports such as Bio2010 emphasize the importance of integrating mathematical modelling skills into undergraduate biology and life science programmes, to ensure students have the skills and knowledge needed for biological research in the twenty-first century. One way to do this is by developing a dedicated mathematics subject to teach modelling and mathematical concepts in biological contexts. We describe such a subject at a research-intensive Australian university, and discuss the considerations informing its design. We also present an investigation into the effect of mathematical and biological background, prior mathematical achievement, and gender, on student achievement in the subject. The investigation shows that several factors known to predict performance in standard calculus subjects apply also to specialized discipline-specific mathematics subjects, and give some insight into the relative importance of mathematical versus biological background for a biology-focused mathematics subject.

The Relations among Mathematics Anxiety, Gender, and Standardized Test Performance

ERIC Educational Resources Information Center

Anis, Yasmeen; Krause, Jeremy A.; Blum, Emily N.

2016-01-01

Mathematics anxiety typically involves apprehension toward activities that require computation, which can lead to complications in every-day-life activities (Ashcraft, 2002). Mathematics anxiety also has become accepted as an issue associated with academic success for both children and adults (Ashcraft, 2002; Ashcraft & Moore, 2009; Beilock,…

Explorations into Pedagogy within Mathematics Classrooms: Insights from Contemporary Inquiries

ERIC Educational Resources Information Center

Walshaw, Margaret

2013-01-01

Pedagogy within mathematics classrooms is of keen interest in any educational discussion. On a wider scale, pedagogical practice that produces desirable outcomes is considered a major instrument for achieving national objectives. Circumstance and setting may vary, but the question relating to how mathematics teachers construct their practice is as…

Wireless communication and their mathematics

NASA Astrophysics Data System (ADS)

Komaki, Shozo

2015-05-01

Mobile phone and smart phone are penetrating into social use. To develop these system, various type of theoretical works based on mathematics are done, such as radio propagation theory, traffic theory, security coding and wireless device etc. In this speech, I will mention about the related mathematics and problems in it.

Historical Objections against the Number Line

ERIC Educational Resources Information Center

Heeffer, Albrecht

2011-01-01

Historical studies on the development of mathematical concepts will help mathematics teachers to relate their students' difficulties in understanding to conceptual problems in the history of mathematics. We argue that one popular tool for teaching about numbers, the number line, may not be fit for early teaching of operations involving negative…

Mathematical Strengths and Weaknesses of Preservice Agricultural Education Teachers

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady; Stephens, Carrie A.

2014-01-01

The purpose of this study was to describe the mathematics ability of preservice agricultural education teachers related to each of the National Council of Teachers of Mathematics (NCTM) content/process areas and their corresponding sub-standards that are cross-referenced with the National Agriculture, Food and Natural Resources Career Cluster…

Helping Students with Mathematics Difficulties Understand Ratios and Proportions

ERIC Educational Resources Information Center

Dougherty, Barbara; Bryant, Diane Pedrotty; Bryant, Brian R.; Shin, Mikyung

2016-01-01

Ratios and proportions are foundational to student understanding across multiple topics in mathematics and science. In mathematics, they are central to developing concepts and skills related to slope, constant rate of change, and similar figures, which are all fundamental to algebraic concepts and skills. This article examines the importance of…

Developmental Performance as a Predictor of Academic Success in Entry-Level College Mathematics.

ERIC Educational Resources Information Center

Johnson, Laurence F.

1996-01-01

Discusses a study examining the relationship between student academic performance in an exit-level, developmental mathematics course and subsequent academic performance in a college-level mathematics course. Finds that developmental course performance and student age were significantly and positively related to academic success, while length of…

The Assessment of Mathematical Logic: Abstract Patterns and Familiar Contexts

ERIC Educational Resources Information Center

Teppo, Anne R.; Esty, Warren W.; Kirkpatrick, Kay

2003-01-01

Undergraduate students' written exams were analyzed from a freshman-level mathematics course that emphasized, among other topics, the study of mathematical logic. Findings indicate that on questions related to the negation of a conditional sentence, students performed much better when given natural-language contexts than they did on questions…

Teaching and Learning Mathematics in the 1990s: 1990 Yearbook.

ERIC Educational Resources Information Center

Cooney, Thomas J., Ed.; Hirsch, Christian R., Ed.

This yearbook includes 28 articles related to teachers and students of mathematics education and their changing roles. Part 1, "New Perspectives on Teaching and Learning," focuses on the relationship between research and practice and suggests a perspective based on the belief that mathematical learning consists of students constructing…

Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education

ERIC Educational Resources Information Center

Meletiou-Mavrotheris, Maria, Ed.; Mavrou, Katerina, Ed.; Paparistodemou, Efi, Ed.

2015-01-01

Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. "Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education" presents…

Perceived Mathematical Ability under Challenge: A Longitudinal Perspective on Sex Segregation among STEM Degree Fields

ERIC Educational Resources Information Center

Nix, Samantha; Perez-Felkner, Lara; Thomas, Kirby

2015-01-01

Students' perceptions of their mathematics ability vary by gender and seem to influence science, technology, engineering, and mathematics (STEM) degree choice. Related, students' perceptions during academic difficulty are increasingly studied in educational psychology, suggesting a link between such perceptions and task persistence. Despite…

Mathematics Education as a Field of Research: Have We Become Too Comfortable?

ERIC Educational Resources Information Center

Lowrie, Tom

2015-01-01

Mathematics education is highly regarded as a research field within our region, especially when compared to other fields within the broader education discipline. The field has been relatively cohesive, well organised and internationally influential in a universally strong field. Mathematics education research has developed and evolved in…

Enhancing Undergraduate Mathematics Curriculum via Coding Theory and Cryptography

ERIC Educational Resources Information Center

Aydin, Nuh

2009-01-01

The theory of error-correcting codes and cryptography are two relatively recent applications of mathematics to information and communication systems. The mathematical tools used in these fields generally come from algebra, elementary number theory, and combinatorics, including concepts from computational complexity. It is possible to introduce the…

Future Directions in Research on Mathematics-Related Teacher Identity

ERIC Educational Resources Information Center

Lutovac, Sonja; Kaasila, Raimo

2018-01-01

Mathematics education research has placed great emphasis on teacher identity, examining both pre- and in-service teachers, and within these cohorts, specialised mathematics teachers and non-specialists such as elementary teachers. Extensive research has already been done; hence, this paper discusses possible future directions for research on…

Problem-Posing Research in Mathematics Education: Looking Back, Looking Around, and Looking Ahead

ERIC Educational Resources Information Center

Silver, Edward A.

2013-01-01

In this paper, I comment on the set of papers in this special issue on mathematical problem posing. I offer some observations about the papers in relation to several key issues, and I suggest some productive directions for continued research inquiry on mathematical problem posing.

Behavioural Intention and Pre-Service Mathematics Teachers' Technological Pedagogical Content Knowledge

ERIC Educational Resources Information Center

Gonzalez, Maria Jose; González-Ruiz, Ignacio

2017-01-01

Teachers' beliefs, together with sound technological pedagogical content knowledge (TPACK), are directly related to the effective integration of technology in mathematics teaching. This study explored the relationship between pre-service teachers' behavioural intention to use technology to teach mathematics and their TPACK. A case-study analysis…

Professional Vision: Elementary School Principals' Perceptions of Mathematics Instruction

ERIC Educational Resources Information Center

Schoen, Robert C.

2010-01-01

This study explored 78 elementary school principals' perceptions of classroom mathematics instruction in an effort to build understanding of the professional vision (Goodwin, 1994) of elementary school principals as it relates to mathematics instruction. This study also tested the theory of Leadership Content Knowledge (Stein & Nelson, 2003)…

Achieving Standards in a Fiber Optic Mathematics Classroom.

ERIC Educational Resources Information Center

Zbiek, Rose Mary; Foletta, Gina M.

1995-01-01

In response to standards set by the National Council of Teachers of Mathematics, K-12 teachers were interviewed to investigate issues related to implementing standards in K-12 fiber optic mathematics classes. Issues include: achieving student-centered classrooms; incorporating technology into distance education; and structuring assessment so more…

The Use of Design Practice to Teach Mathematics and Science

ERIC Educational Resources Information Center

Norton, Stephen John

2008-01-01

Relatively low participation in the hard sciences (mathematics, science, engineering and technology) has become a concern with respect to the capacity of Australia to meet critical infrastructure projects. This problem has its roots in poor student attitudes towards and perceptions about the study of prerequisite subjects including mathematics and…

Mathematics and Science across the Curriculum.

ERIC Educational Resources Information Center

Thorson, Annette, Ed.

2002-01-01

This issue, intended for classroom teachers, provides a collection of essays organized around the theme of mathematics and science across the curriculum as well as a guide to instructional materials related to the theme. Topics addressed in the essays include experiencing mathematics through nature; connecting science, fiction, and real life;…

Effects of Background and School Factors on the Mathematics Achievement.

ERIC Educational Resources Information Center

Papanastasiou, Constantinos

2002-01-01

Using a structural equation model, this study investigated the mathematics achievement of eighth graders in Cyprus enrolled in the year 1994-1995. The model considered two exogenous constructs related to student background and five endogenous constructs. Although attitudes, teaching, and beliefs had direct effect on mathematics outcomes, these…

Applied Mathematics. Florida Teaching Supplement.

ERIC Educational Resources Information Center

Florida State Dept. of Education, Tallahassee. Div. of Vocational, Adult, and Community Education.

The information in this supplementary notebook is intended to provide teachers with additional materials, ideas and suggestions, and activities to help in implementing the first 21 units of the Applied Mathematics modules that help develop and refine job-related mathematics skills. An introduction lists the 36 units of the complete Applied…

The Relationship among Mathematics Achievement, Affective Variables and Home Background.

ERIC Educational Resources Information Center

Wong, Ngai-ying

1992-01-01

Investigated the relationships among mathematics achievement, affect, and home background for Hong Kong students (n=1766) in grades 7-13. Achievement was most closely related to academic and nonacademic self-concepts and attitudes toward mathematics, and the latter was most influenced by self- and parental expectations. (LDR)

Commognitive Analysis of Undergraduate Mathematics Students' First Encounter with the Subgroup Test

ERIC Educational Resources Information Center

Ioannou, Marios

2018-01-01

This study analyses learning aspects of undergraduate mathematics students' first encounter with the subgroup test, using the commognitive theoretical framework. It focuses on students' difficulties as these are related to the object-level and metalevel mathematical learning in group theory, and, when possible, highlights any commognitive…

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…

Chinese Number Words, Culture, and Mathematics Learning

ERIC Educational Resources Information Center

Ng, Sharon Sui Ngan; Rao, Nirmala

2010-01-01

This review evaluates the role of language--specifically, the Chinese-based system of number words and the simplicity of Chinese mathematical terms--in explaining the relatively superior performance of Chinese and other East Asian students in cross-national studies of mathematics achievement. Relevant research is critically reviewed focusing on…

The Relation between Patterning, Executive Function, and Mathematics

ERIC Educational Resources Information Center

Schmerold, Katrina Lea

2015-01-01

Patterning, or the ability to understand patterns, is a skill commonly taught to young children as part of school mathematics curricula. While a number of studies have demonstrated that patterning is beneficial for young children acquiring mathematical skills, little research exists that examines the cognitive components of the skill. It seems…

Mathematical Meaning-Making and Its Relation to Design of Teaching

ERIC Educational Resources Information Center

Jaworski, Barbara

2015-01-01

This paper addresses the design of teaching to promote engineering students' conceptual understanding of mathematics, and its outcomes for mathematical meaning-making. Within a developmental research approach, inquiry-based tasks have been designed and evaluated, through the use of competencies proposed for their potential to promote conceptual…

Readings in Cooperative Learning for Undergraduate Mathematics. MAA Notes No. 44.

ERIC Educational Resources Information Center

Dubinsky, Ed, Ed.; Mathews, David, Ed.; Reynolds, Barbara E., Ed.

Seventeen papers that relate to the use of cooperative learning activities in undergraduate mathematics courses are contained within this collection. Papers were selected by the staff of Project CLUME (Cooperative Learning in Undergraduate Mathematics Education) and organized into categories pertaining to constructivism and the teachers' role,…

Mathematical Abilities in Elementary School Children with Autism Spectrum Disorder

ERIC Educational Resources Information Center

Titeca, Daisy; Roeyers, Herbert; Loeys, Tom; Ceulemans, Annelies; Desoete, Annemie

2015-01-01

Although clinical practitioners often express concerns about the mathematical functioning of children with autism spectrum disorder (ASD), the field of mathematics remains a relatively unexplored topic in individuals with ASD. Moreover, research findings are fragmentary and hold inconclusive results. The present study aimed to examine whether…

Structure Sense: A Precursor to Competency in Undergraduate Mathematics

ERIC Educational Resources Information Center

Vincent, Jill; Pierce, Robyn; Bardini, Caroline

2017-01-01

In this article the authors analyze the written solutions of some first year undergraduate mathematics students from Victorian universities as they answered tutorial exercise questions relating to complex numbers and differentiation. These students had studied at least Mathematics Methods or its equivalent at secondary school. Complex numbers was…

The Concept of Invariance in School Mathematics

ERIC Educational Resources Information Center

Libeskind, Shlomo; Stupel, Moshe; Oxman, Victor

2018-01-01

In this paper, we highlight examples from school mathematics in which invariance did not receive the attention it deserves. We describe how problems related to invariance stimulated the interest of both teachers and students. In school mathematics, invariance is of particular relevance in teaching and learning geometry. When permitted change…

Beliefs and Achievement in Seventh-Grade Mathematics.

ERIC Educational Resources Information Center

Kloosterman, Peter

1991-01-01

This study highlights the correlation between seventh grade students' (n=429) beliefs about how mathematics is learned and their achievement in mathematics. Results from structural relation modeling indicate that, when beliefs are considered as a single construct, the relationship between beliefs and achievement is much stronger than when beliefs…

Gesturing about Number Sense

ERIC Educational Resources Information Center

Lee, Joanne; Kotsopoulos, Donna; Tumber, Anupreet; Makosz, Samantha

2015-01-01

Gestures such as finger counting, pointing, and touching have been found to facilitate mathematical development in preschool and school-aged children. However, little is known about the types of mathematically related gestures used by parent-toddler dyads to facilitate early mathematics learning during the first 3 years of life. A total of 24…

Are Mathematics Problems a Problem for Women and Girls?

ERIC Educational Resources Information Center

Schonberger, Ann K.

The primary questions investigated are: Is it true that males excel in mathematical problem solving and, if so, when does this superiority develop? An examination of recent research showed that sex-related differences did exist, although small, even after controlling for mathematics background. Differences appeared in early adolescence and were…

The dynamics of insight: mathematical discovery as a phase transition.

PubMed

Stephen, Damian G; Boncoddo, Rebecca A; Magnuson, James S; Dixon, James A

2009-12-01

In recent work in cognitive science, it has been proposed that cognition is a self-organizing, dynamical system. However, capturing the real-time dynamics of cognition has been a formidable challenge. Furthermore, it has been unclear whether dynamics could effectively address the emergence of abstract concepts (e.g., language, mathematics). Here, we provide evidence that a quintessentially cognitive phenomenon-the spontaneous discovery of a mathematical relation-emerges through self-organization. Participants solved a series of gear-system problems while we tracked their eye movements. They initially solved the problems by manually simulating the forces of the gears but then spontaneously discovered a mathematical solution. We show that the discovery of the mathematical relation was predicted by changes in entropy and changes in power-law behavior, two hallmarks of phase transitions. Thus, the present study demonstrates the emergence of higher order cognitive phenomena through the nonlinear dynamics of self-organization.

Problems Relating Mathematics and Science in the High School.

ERIC Educational Resources Information Center

Morrow, Richard; Beard, Earl

This document contains various science problems which require a mathematical solution. The problems are arranged under two general areas. The first (algebra I) contains biology, chemistry, and physics problems which require solutions related to linear equations, exponentials, and nonlinear equations. The second (algebra II) contains physics…

The Sky's the Limit in Math-Related Careers.

ERIC Educational Resources Information Center

Askew, Judy

This booklet introduces readers--particularly women--to some jobs that use mathematical training, in laboratories, computer centers, universities, insurance companies, and government offices. Based on information from women working in mathematics-related fields, it is designed to help women consider various career choices. Sections focus on…

Gender-Related Differential Item Functioning on a Middle-School Mathematics Performance Assessment.

ERIC Educational Resources Information Center

Lane, Suzanne; And Others

This study examined gender-related differential item functioning (DIF) using a mathematics performance assessment, the QUASAR Cognitive Assessment Instrument (QCAI), administered to middle school students. The QCAI was developed for the Quantitative Understanding: Amplifying Student Achievement and Reading (QUASAR) project, which focuses on…

Mathematics and its value for engineering students: what are the implications for teaching?

NASA Astrophysics Data System (ADS)

Harris, Diane; Black, Laura; Hernandez-Martinez, Paul; Pepin, Birgit; Williams, Julian; with the TransMaths Team

2015-04-01

Mathematics has long been known to be problematic for university engineering students and their teachers, for example, Scanlan.[1] This paper presents recent data gathered from interviews with engineering students who experienced problems with mathematics and their lecturers during their transition through the first year in different programme contexts. Our interviews with the students reveal how they understand the relation between engineering and mathematics and we draw on the concept of 'use- and exchange-value' to explore this relationship more fully. This paper challenges both the pedagogical practice of teaching non-contextualized mathematics and the lack of transparency regarding the significance of mathematics to engineering. We conclude that the value of mathematics in engineering remains a central problem, and argue that mathematics should be a fundamental concern in the design and practice of first-year engineering.

Criterion-Related Validity of Two Curriculum-Based Measures of Mathematical Skill in Relation to Reading Comprehension in Secondary Students

ERIC Educational Resources Information Center

Anselmo, Giancarlo A.; Yarbrough, Jamie L.; Kovaleski, Joseph F.; Tran, Vi N.

2017-01-01

This study analyzed the relationship between benchmark scores from two curriculum-based measurement probes in mathematics (M-CBM) and student performance on a state-mandated high-stakes test. Participants were 298 students enrolled in grades 7 and 8 in a rural southeastern school. Specifically, we calculated the criterion-related and predictive…

Epistemological Beliefs of Prospective Preschool Teachers and Their Relation to Knowledge, Perception, and Planning Abilities in the Field of Mathematics: A Process Model

ERIC Educational Resources Information Center

Dunekacke, Simone; Jenßen, Lars; Eilerts, Katja; Blömeke, Sigrid

2016-01-01

Teacher competence is a multi-dimensional construct that includes beliefs as well as knowledge. The present study investigated the structure of prospective preschool teachers' mathematics-related beliefs and their relation to content knowledge and pedagogical content knowledge. In addition, prospective preschool teachers' perception and planning…

What Happens when the Research Ends? Factors Related to the Sustainability of a Technology-Infused Mathematics Curriculum

ERIC Educational Resources Information Center

Fishman, Barry; Penuel, William R.; Hegedus, Stephen; Roschelle, Jeremy

2011-01-01

This study examines factors related to the sustainability of SimCalc Mathworlds (SCMW), a technology-infused mathematics curriculum. We surveyed middle school teachers one year after their participation in a randomized trial where they were introduced to SCMW curriculum, to identify factors related to their continued use of the materials in ways…

Predictors of Information Technology Integration in Secondary Schools: Evidence from a Large Scale Study of More than 30,000 Students

PubMed Central

Hew, Khe Foon; Tan, Cheng Yong

2016-01-01

The present study examined the predictors of information technology (IT) integration in secondary school mathematics lessons. The predictors pertained to IT resource availability in schools, school contextual/institutional variables, accountability pressure faced by schools, subject culture in mathematics, and mathematics teachers’ pedagogical beliefs and practices. Data from 32,256 secondary school students from 2,519 schools in 16 developed economies who participated in the Program for International Student Assessment (PISA) 2012 were analyzed using hierarchical linear modeling (HLM). Results showed that after controlling for student-level (gender, prior academic achievement and socioeconomic status) and school-level (class size, number of mathematics teachers) variables, students in schools with more computers per student, with more IT resources, with higher levels of IT curricular expectations, with an explicit policy on the use of IT in mathematics, whose teachers believed in student-centered teaching-learning, and whose teachers provided more problem-solving activities in class reported higher levels of IT integration. On the other hand, students who studied in schools with more positive teacher-related school learning climate, and with more academically demanding parents reported lower levels of IT integration. Student-related school learning climate, principal leadership behaviors, schools’ public posting of achievement data, tracking of school’s achievement data by administrative authorities, and pedagogical and curricular differentiation in mathematics lessons were not related to levels of IT integration. Put together, the predictors explained a total of 15.90% of the school-level variance in levels of IT integration. In particular, school IT resource availability, and mathematics teachers’ pedagogical beliefs and practices stood out as the most important determinants of IT integration in mathematics lessons. PMID:27997593

Predictors of Information Technology Integration in Secondary Schools: Evidence from a Large Scale Study of More than 30,000 Students.

PubMed

Hew, Khe Foon; Tan, Cheng Yong

2016-01-01

The present study examined the predictors of information technology (IT) integration in secondary school mathematics lessons. The predictors pertained to IT resource availability in schools, school contextual/institutional variables, accountability pressure faced by schools, subject culture in mathematics, and mathematics teachers' pedagogical beliefs and practices. Data from 32,256 secondary school students from 2,519 schools in 16 developed economies who participated in the Program for International Student Assessment (PISA) 2012 were analyzed using hierarchical linear modeling (HLM). Results showed that after controlling for student-level (gender, prior academic achievement and socioeconomic status) and school-level (class size, number of mathematics teachers) variables, students in schools with more computers per student, with more IT resources, with higher levels of IT curricular expectations, with an explicit policy on the use of IT in mathematics, whose teachers believed in student-centered teaching-learning, and whose teachers provided more problem-solving activities in class reported higher levels of IT integration. On the other hand, students who studied in schools with more positive teacher-related school learning climate, and with more academically demanding parents reported lower levels of IT integration. Student-related school learning climate, principal leadership behaviors, schools' public posting of achievement data, tracking of school's achievement data by administrative authorities, and pedagogical and curricular differentiation in mathematics lessons were not related to levels of IT integration. Put together, the predictors explained a total of 15.90% of the school-level variance in levels of IT integration. In particular, school IT resource availability, and mathematics teachers' pedagogical beliefs and practices stood out as the most important determinants of IT integration in mathematics lessons.

It's Greek to me: Domain specific relationships between intellectual helplessness and academic performance.

PubMed

Krejtz, Izabela; Nezlek, John B

2016-01-01

In a study of the domain specificity of intellectual learned helplessness, we collected data from 376 students in 14 classrooms. We measured feelings of intellectual helplessness for mathematics and language skills, anxiety about performance in each of these domains, and general working memory. Multilevel modeling analyses found that feelings of helplessness in language skills were negatively related to grades in language but were unrelated to grades in mathematics. Similarly, feelings of helplessness in mathematics were negatively related to grades in mathematics but were unrelated to grades in language. Controlling for anxiety or working memory did not change these relationships, nor did they vary across the age of students. The results support conceptualizations in which learned helplessness has a domain specific component.

Student and high-school characteristics related to completing a science, technology, engineering or mathematics (STEM) major in college

NASA Astrophysics Data System (ADS)

LeBeau, Brandon; Harwell, Michael; Monson, Debra; Dupuis, Danielle; Medhanie, Amanuel; Post, Thomas R.

2012-04-01

Background: The importance of increasing the number of US college students completing degrees in science, technology, engineering or mathematics (STEM) has prompted calls for research to provide a better understanding of factors related to student participation in these majors, including the impact of a student's high-school mathematics curriculum. Purpose: This study examines the relationship between various student and high-school characteristics and completion of a STEM major in college. Of specific interest is the influence of a student's high-school mathematics curriculum on the completion of a STEM major in college. Sample: The sample consisted of approximately 3500 students from 229 high schools. Students were predominantly Caucasian (80%), with slightly more males than females (52% vs 48%). Design and method: A quasi-experimental design with archival data was used for students who enrolled in, and graduated from, a post-secondary institution in the upper Midwest. To be included in the sample, students needed to have completed at least three years of high-school mathematics. A generalized linear mixed model was used with students nested within high schools. The data were cross-sectional. Results: High-school predictors were not found to have a significant impact on the completion of a STEM major. Significant student-level predictors included ACT mathematics score, gender and high-school mathematics GPA. Conclusions: The results provide evidence that on average students are equally prepared for the rigorous mathematics coursework regardless of the high-school mathematics curriculum they completed.

A Relational Frame and Artificial Neural Network Approach to Computer-Interactive Mathematics

ERIC Educational Resources Information Center

Ninness, Chris; Rumph, Robin; McCuller, Glen; Vasquez III, Eleazar; Harrison, Carol; Ford, Angela M.; Capt, Ashley; Ninness, Sharon K.; Bradfield, Anna

2005-01-01

Fifteen participants unfamiliar with mathematical operations relative to reflections and vertical and horizontal shifts were exposed to an introductory lecture regarding the fundamentals of the rectangular coordinate system and the relationship between formulas and their graphed analogues. The lecture was followed immediately by computer-assisted…

Parental Support of Numeracy during a Cooking Activity with Four-Year-Olds

ERIC Educational Resources Information Center

Vandermaas-Peeler, Maureen; Boomgarden, Erin; Finn, Lauren; Pittard, Caroline

2012-01-01

While research demonstrates the importance of numeracy-related activities performed at home for young children's mathematics achievement, few studies involve observational studies of the processes which support children's mathematical learning at home. On this premise, this study reports evidence from numeracy-related interactions between parents…

Family Child Care Learning Environments: Caregiver Knowledge and Practices Related to Early Literacy and Mathematics

ERIC Educational Resources Information Center

Phillips, Beth M.; Morse, Erika E.

2011-01-01

This paper presents findings from a stratified-random survey of family child care providers' backgrounds, caregiving environments, practices, attitudes, and knowledge related to language, literacy, and mathematics development for preschool children. Descriptive results are consistent with prior studies suggesting that home-based providers are…

Characterising the Perceived Value of Mathematics Educational Apps in Preservice Teachers

ERIC Educational Resources Information Center

Handal, Boris; Campbell, Chris; Cavanagh, Michael; Petocz, Peter

2016-01-01

This study validated the semantic items of three related scales aimed at characterising the perceived worth of mathematics-education-related mobile applications (apps). The technological pedagogical content knowledge (TPACK) model was used as the conceptual framework for the analysis. Three hundred and seventy-three preservice students studying…

Relations of Different Types of Numerical Magnitude Representations to Each Other and to Mathematics Achievement

ERIC Educational Resources Information Center

Fazio, Lisa K.; Bailey, Drew H.; Thompson, Clarissa A.; Siegler, Robert S.

2014-01-01

We examined relations between symbolic and non-symbolic numerical magnitude representations, between whole number and fraction representations, and between these representations and overall mathematics achievement in fifth graders. Fraction and whole number symbolic and non-symbolic numerical magnitude understandings were measured using both…

Investigating the Relational Nature of Feedback Practice

ERIC Educational Resources Information Center

Kastberg, Signe E.; Lischka, Alyson E.; Hillman, Susan L.

2017-01-01

At the crossroads of our prior research on prospective teachers' feedback to mathematics-learners and our mathematics teacher educator feedback practices, we study written feedback as part of relational practice. Using self-study methodology and an analysis of our narratives and conversations about written feedback, we identified factors that…

Mathematics and Related Occupations. Reprinted from the Occupational Outlook Handbook, 1978-79 Edition.

ERIC Educational Resources Information Center

Bureau of Labor Statistics (DOL), Washington, DC.

Focusing on mathematics and related occupations, this document is one in a series of forty-one reprints from the Occupational Outlook Handbook providing current information and employment projections for individual occupations and industries through 1985. The specific occupations covered in this document include accountants, actuaries,…

Elements of Mathematics, Book O: Intuitive Background. Chapter 1, Operational Systems.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Recruitment and Retention of Mathematics Students in Canadian Universities

ERIC Educational Resources Information Center

Fenwick-Sehl, Laura; Fioroni, Marcella; Lovric, Miroslav

2009-01-01

Data from Statistics Canada shows that while the number of mathematics degrees at the undergraduate and graduate levels remained relatively constant between 1992 and 2005, the total number of mathematics degrees as a percentage of all degrees awarded has slightly decreased over the same time period. To understand this situation better, we…

Mathematical Practices in a Technological Setting: A Design Research Experiment for Teaching Circle Properties

ERIC Educational Resources Information Center

Akyuz, Didem

2016-01-01

This article documents the classroom mathematical practices observed in a collegiate level teacher education course related to the circle topic. The course, which was prepared as design research, utilized a dynamic geometry environment which influenced the type and nature of the evolved mathematical practices. The study uses emergent perspective…

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 Algebra. 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 presented in this package concern ratios used in food…

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…

Taking the Guesswork out of Locating Evidence-Based Mathematics Practices for Diverse Learners

ERIC Educational Resources Information Center

Hughes, Elizabeth M.; Powell, Sarah R.; Lembke, Erica S.; Riley-Tillman, T. Chris

2016-01-01

Approximately 5 to 7% of school-age students have a learning disability related to mathematics (Shalev, Auerbach, Manor, & Gross-Tsur, 2000), but the percentage of students who experience mathematics difficulty is much greater. For example, results from the 2015 National Assessment of Educational Progress (NAEP; National Center for Education…

How Important Is Where You Start? Early Mathematics Knowledge and Later School Success

ERIC Educational Resources Information Center

Claessens, Amy; Engel, Mimi

2013-01-01

Background: Children's early skills are essential for their later success in school. Recent evidence highlights the importance of early mathematics, relative to reading and socioemotional skills, for elementary school achievement. Key advocacy groups for both early childhood and mathematics education have issued position statements on the…

Discovering Euler Circuits and Paths through a Culturally Relevant Lesson

ERIC Educational Resources Information Center

Robichaux, Rebecca R.; Rodrigue, Paulette R.

2006-01-01

This article describes a middle school discrete mathematics lesson that uses the context of catching crawfish to provide students with a hands-on experience related to Euler circuits and paths. The lesson promotes mathematical communication through the use of cooperative learning as well as connections between mathematics and the real world…

Elementary Teachers' Understanding and Use of Cognition Based Assessment Learning Progression Materials for Multiplication and Division

ERIC Educational Resources Information Center

Harrison, Ryan Matthew

2012-01-01

Teachers' knowledge of mathematical content and children's mathematical thinking have been identified as critical elements related to teachers' ability to effectively teach mathematics (Fennema & Franke, 1992; Kazemi & Franke, 2001; Ma, 1999; Peterson, Carpenter, & Fennema, 1989). Literature on teachers' knowledge…

And So It Grows: Using a Computer-Based Simulation of a Population Growth Model to Integrate Biology & Mathematics

ERIC Educational Resources Information Center

Street, Garrett M.; Laubach, Timothy A.

2013-01-01

We provide a 5E structured-inquiry lesson so that students can learn more of the mathematics behind the logistic model of population biology. By using models and mathematics, students understand how population dynamics can be influenced by relatively simple changes in the environment.

Schooling and Sex Roles: The Case of GCE 'O' Level Mathematics.

ERIC Educational Resources Information Center

Sharma, Shiam; Meighan, Roland

1980-01-01

Questions why girls, who perform at least as well as boys in mathematical reasoning until the age of 11, experience an ever-decreasing set of educational possibilities and consequential achievements during the secondary years of schooling. Relates sex stereotyping to differences in mathematics achievement among male and female students in…

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…

Integrating History of Mathematics into the Classroom: Was Aristotle Wrong?

ERIC Educational Resources Information Center

Panasuk, Regina M.; Horton, Leslie Bolinger

2013-01-01

This article describes a part of a large scale study which helped to gain understanding of the high school mathematics teachers' perceptions related to the integration of history of mathematics into instruction. There is obvious lack of correspondence between general perception about possible benefits of students learning the history of…

CAS-Induced Difficulties in Learning Mathematics?

ERIC Educational Resources Information Center

Jankvist, Uffe Thomas; Misfeldt, Morten

2015-01-01

In recent years computer algebra systems (CAS) have become an integrated part of the upper secondary school mathematics program. Despite the many positive possibilities of CAS, there also seems to be a flip side of the coin in relation to actual difficulties in learning mathematics, not least because a strong dependence on CAS for mathematical…

Blended Learning, E-Learning and Mobile Learning in Mathematics Education

ERIC Educational Resources Information Center

Borba, Marcelo C.; Askar, Petek; Engelbrecht, Johann; Gadanidis, George; Llinares, Salvador; Aguilar, Mario Sánchez

2016-01-01

In this literature survey we focus on identifying recent advances in research on digital technology in the field of mathematics education. To conduct the survey we have used internet search engines with keywords related to mathematics education and digital technology and have reviewed some of the main international journals, including the ones in…

The Experience of Security in Mathematics

ERIC Educational Resources Information Center

Charalampous, Eleni; Rowland, Tim

2013-01-01

In this paper, we report some findings from an investigation of a topic related to affect and mathematics which is not well-represented in the literature. For some mathematicians, mathematics itself is a source of security in an uncertain world, and we investigated this feeling and experience in the case of 19 adult mathematicians working in…

Conceptualizing Mathematics as Discourse in Different Educational Settings

ERIC Educational Resources Information Center

Güçler, Beste; Wang, Sasha; Kim, Dong-Joong

2015-01-01

In this work, we focus on a relatively new theory in mathematics education research, which views thinking as communication and characterizes mathematics as a form of discourse. We discuss how this framework can be utilized in different educational settings by giving examples from our own research to highlight the insights it provides in the…

Girls' and Boys' Mathematics Achievement, Affect, and Experiences: Findings from ECLS-K

ERIC Educational Resources Information Center

Lubienski, Sarah T.; Robinson, Joseph P.; Crane, Corinna C.; Ganley, Colleen M.

2013-01-01

Amid debates about the continued salience of gender in mathematics, this report summarizes an IES-funded investigation of gender-related patterns in the Early Childhood Longitudinal Study-Kindergarten Class of 1998-99 (ECLS-K). Girls' and boys' mathematics achievement, confidence, and interest were examined, along with experiences at home and…

A Reconceptualized Framework for "Opportunity to Learn" in School Mathematics

ERIC Educational Resources Information Center

Walkowiak, Temple A.; Pinter, Holly H.; Berry, Robert Q.

2017-01-01

We present a reconceptualized framework for opportunity to learn (OTL) in school mathematics that builds on previous conceptualizations of OTL and includes features related to both quantity (i.e., time) and quality. Our framework draws on existing literature and on our own observational research of mathematics teaching practices. Through the…

Teaching Global Issues Through Mathematics. Development Education Paper No. 20.

ERIC Educational Resources Information Center

Schwartz, Richard H.

The document shows how teachers can use mathematics problems to teach fourth, fifth, and sixth grade students about critical global issues. The problems are arranged according to development topics. For each problem, the solution, reference source, and mathematical skills to be strengthened are given; global issues related to each problem are also…

Cognitive Processing and Mathematical Achievement: A Study with Schoolchildren between Fourth and Sixth Grade of Primary Education

ERIC Educational Resources Information Center

Iglesias-Sarmiento, Valentin; Deano, Manuel

2011-01-01

This investigation analyzed the relation between cognitive functioning and mathematical achievement in 114 students in fourth, fifth, and sixth grades. Differences in cognitive performance were studied concurrently in three selected achievement groups: mathematical learning disability group (MLD), low achieving group (LA), and typically achieving…

Elements of Mathematics, Book O: Intuitive Background. Chapter 5, Mappings.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Professional Development Strategically Connecting Mathematics and Science: The Impact on Teachers' Confidence and Practice

ERIC Educational Resources Information Center

Baxter, Juliet A.; Ruzicka, Angie; Beghetto, Ronald A.; Livelybrooks, Dean

2014-01-01

The press to integrate mathematics and science comes from researchers, business leaders, and educators, yet research that examines ways to support teachers in relating these disciplines is scant. Using research on science and mathematics professional development, we designed a professional development project to help elementary teachers improve…

Assessing Attitudes toward Mathematics across Teacher Education Contexts

ERIC Educational Resources Information Center

Jong, Cindy; Hodges, Thomas E.

2015-01-01

This article reports on the development of attitudes toward mathematics among pre-service elementary teachers (n = 146) in relation to their experiences as K-12 learners of mathematics and experiences within a teacher education program. Using a combination of the Rasch Rating Scale Model and traditional parametric analyses, results indicate that…

The Relationship between Reading Level and Sixth Grade Students' Acquisition of Mathematics Standards

ERIC Educational Resources Information Center

Caruthers, Tarchell Peeples

2013-01-01

Current research shows that, despite standards-based mathematics reform, American students lag behind in mathematics achievement when compared to their counterparts in other countries. The purpose of this mixed methods study was to examine if reading level, as measured by the Scholastic Reading Inventory, is related to standards-based mathematics…

Attitudes of Prospective High School Mathematics Teachers towards Integrating Information Technologies into Their Future Teaching.

ERIC Educational Resources Information Center

Hazzan, Orit

This paper examines why the number of high school mathematics teachers who integrate computers into their math classes remains relatively low by analyzing the attitudes of prospective high school mathematics teachers. Data were gathered from written questionnaires and class discussions of four classes of prospective high school mathematics…

A Reflective Journey through Theory and Research in Mathematical Learning and Development

ERIC Educational Resources Information Center

Belbase, Shashidhar

2010-01-01

This paper is an attempt to reflect on class sessions during the fall 2010 in a course "Theory and Research in Mathematical Learning and Development". This reflection as a learning journey portrays discussions based on foundational perspectives (FP), historical highlights (HH), and guiding questions (GQ) related to mathematics learning and…

A Comparison of the Pedagogical Practices of Mathematics Education for Young Children in England and South Korea

ERIC Educational Resources Information Center

Siraj-Blatchford, Iram; Nah, Kwi-Ok

2014-01-01

The pedagogical practices of mathematics education for young children in English and Korean pre-schools were compared through analyses of interviews with practitioners, observations of classroom activities and an examination of documents related to the planning and implementation of mathematics education. Practitioners in both countries used…

STUDY OF VARIABLES ASSOCIATED WITH FINAL GRADES IN MATHEMATICS COURSES.

ERIC Educational Resources Information Center

DAVIS, ELTON C.; RISSER, JOHN J.

THIS STUDY WAS CONDUCTED IN ORDER TO DETERMINE THE RELATIVE VALUE OF PREVIOUS GRADES IN MATHEMATICS COURSES, THE OVERALL HIGH SCHOOL GRADE POINT AVERAGE, AND THE PLACEMENT TEST IN MATHEMATICS DEVELOPED AT THE COLLEGE AS PREDICTORS OF ACHIEVEMENT IN INTRODUCTORY AND INTERMEDIATE ALGEBRA, IN COLLEGE ALGEBRA, IN TRIGONOMETRY, AND IN ANALYTIC GEOMETRY…

Exploring Positioning as an Analytical Tool for Understanding Becoming Mathematics Teachers' Identities

ERIC Educational Resources Information Center

Skog, Kicki; Andersson, Annica

2015-01-01

The aim of this article is to explore how a sociopolitical analysis can contribute to a deeper understanding of critical aspects for becoming primary mathematics teachers' identities during teacher education. The question we ask is the following: How may power relations in university settings affect becoming mathematics teachers' subject…

Assessing the Relation between Seventh-Grade Students' Engagement and Proportional Problem Solving Performance

ERIC Educational Resources Information Center

Lein, Amy E.; Jitendra, Asha K.; Starosta, Kristin M.; Dupuis, Danielle N.; Hughes-Reid, Cheyenne L.; Star, John R.

2016-01-01

In this study, the authors assessed the contribution of engagement (on-task behavior) to the mathematics problem-solving performance of seventh-grade students after accounting for prior mathematics achievement. A subsample of seventh-grade students in four mathematics classrooms (one high-, two average-, and one low-achieving) from a larger…

Investigating the Representational Fluency of Pre-Service Mathematics Teachers in a Modelling Process

ERIC Educational Resources Information Center

Delice, Ali; Kertil, Mahmut

2015-01-01

This article reports the results of a study that investigated pre-service mathematics teachers' modelling processes in terms of representational fluency in a modelling activity related to a cassette player. A qualitative approach was used in the data collection process. Students' individual and group written responses to the mathematical modelling…

High Achieving Girls in Mathematics: What's Wrong with Working Hard?

ERIC Educational Resources Information Center

Howe, Ann C.; Berenson, Sarah B.

2003-01-01

The participation of women in graduate studies and mathematics-related careers remains a social and economic problem in the United States. Part of a larger study to understand this lack of participation, here we present preliminary findings of girls who are high achievers in middle grades mathematics. This interpretive study documents girls'…

Basic and Advanced Numerical Performances Relate to Mathematical Expertise but Are Fully Mediated by Visuospatial Skills

ERIC Educational Resources Information Center

Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi

2016-01-01

Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic…

Elements of Mathematics, Book O: Intuitive Background. Chapter 2, The Integers.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core materials for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Differential Improvement in Student Understanding of Mathematical Principles following Formative Assessment Intervention

ERIC Educational Resources Information Center

Phelan, Julia; Choi, Kilchan; Vendlinski, Terry; Baker, Eva; Herman, Joan

2011-01-01

The authors describe results from a study of a middle school mathematics formative assessment strategy. They employed a randomized, controlled design to address the following question: Does using our strategy improve student performance on assessments of key mathematical ideas relative to a comparison group? Eighty-five teachers and 4,091 students…

Investigation of Primary Mathematics Student Teachers' Concept Images: Cylinder and Cone

ERIC Educational Resources Information Center

Ertekin, Erhan; Yazici, Ersen; Delice, Ali

2014-01-01

The aim of the present study is to determine the influence of concept definitions of cylinder and cone on primary mathematics student teachers' construction of relevant concept images. The study had a relational survey design and the participants were 238 primary mathematics student teachers. Statistical analyses implied the following: mathematics…

Teacher-Directed Student Use of Technology and Mathematics Achievement: Examining Trends in International Patterns

ERIC Educational Resources Information Center

Wang, Yang; O'Dwyer, Laura

2011-01-01

Using data from the Trends in International Mathematics and Science Study (TIMSS) 2003 and 2007 administrations, this study examines international trends in technology use and explores the international patterns in how teacher-directed, student-use of technology is related to eighth grade mathematics achievement. Descriptive patterns in…

Topics for Mathematics Clubs. Second Edition.

ERIC Educational Resources Information Center

Dalton, LeRoy C., Ed.; Snyder, Henry D., Ed.

One of the main purposes of a mathematics club is to provide the opportunity for students to study exciting topics in mathematics not ordinarily discussed in the classroom. Each of the 10 chapters in this booklet is a collection of related subtopics. Each idea is presented and discussed; bibliographies then suggest in-depth reading. The chapters…

Individualized Math Problems in Integers. 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 presents problems involving operations with positive and…

Interating the History of Mathematics in Educational Praxis

ERIC Educational Resources Information Center

Farmaki, Vassiliki; Klaudatos, Nikos; Paschos, Theodorus

2004-01-01

The integration of History in the educational practice can lead to the development of a series of activities exploiting genetic "moments" of the history of Mathematics. Utilizing genetic ideas that developed during the 14th century (Merton College, N. Oresme), activities are developed and mathematical models for solving problems related to uniform…

Focusing on the Interactive Development of Secondary School Teachers' Knowledge of Mathematical Statements

ERIC Educational Resources Information Center

Levenson, Esther; Tsamir, Pessia; Tirosh, Dina; Dreyfus, Tommy; Barkai, Ruthi; Tabach, Michal

2012-01-01

This paper focuses on the first session of a professional development course revolving around the topic of mathematical statements and their appropriate proving methods. It analyzes the interactive development of the teachers' knowledge by focusing on the relation between the mathematical statements, the instructor, and the teachers. Different…

Different Procedures for Solving Mathematical Word Problems in High School

ERIC Educational Resources Information Center

Gasco, Javier; Villarroel, Jose Domingo; Zuazagoitia, Dani

2014-01-01

The teaching and learning of mathematics cannot be understood without considering the resolution of word problems. These kinds of problems not only connect mathematical concepts with language (and therefore with reality) but also promote the learning related to other scientific areas. In primary school, problems are solved by using basic…

Elementary-School Mathematics Instruction and Achievement of Fourth-Grade Students in Japan: Findings from the TIMSS 2007 Assessment

ERIC Educational Resources Information Center

House, J. Daniel

2009-01-01

Research findings indicate that specific instructional strategies, such as the use of real-world examples and independent learning activities, are positively related to mathematics achievement. This study was designed to investigate relationships between classroom instructional strategies and mathematics achievement of elementary-school students…

Mathematics Beliefs, Instructional Strategies, and Algebra Achievement of Adolescent Students in Japan: Results from the TIMSS 1999 Assessment

ERIC Educational Resources Information Center

House, J. Daniel

2006-01-01

An important area for the application of instructional design is the development of effective teaching strategies for mathematics. Activities that include the use of computers, cooperative learning, and active learning materials are associated with mathematics achievement. Student self-beliefs are also significantly related to mathematics…

Dynamic and Interactive Mathematics Learning Environments: The Case of Teaching the Limit Concept

ERIC Educational Resources Information Center

Martinovic, Dragana; Karadag, Zekeriya

2012-01-01

This theoretical study is an attempt to explore the potential of the dynamic and interactive mathematics learning environments (DIMLE) in relation to the technological pedagogical content knowledge (TPACK) framework. DIMLE are developed with intent to support learning mathematics through free exploration in a less constrained environment. A…

Relating Aspects of Motivation to Facets of Mathematical Competence Varying in Cognitive Demand

ERIC Educational Resources Information Center

Gilbert, Melissa C.

2016-01-01

The author investigated the relationship between aspects of student motivation and performance on mathematical tasks varying in cognitive demand relevant to meeting the expectations of the Common Core State Standards for Mathematics (CCSS-M). A sample of 479 primarily Latino middle school students completed established survey measures of…

An Investigation of High Ability Adolescent Students' Affective and Motivational Responses to Mathematics

ERIC Educational Resources Information Center

Carmody, Heather Jean

2017-01-01

Students' motivational and affective responses to mathematics are related to their academic performance. This mixed methods study involved survey results from 394 middle and high school high ability students. Data revealed that students believed success was possible, and that the usefulness and enjoyment of mathematics precipitated high…

Early Mathematics Achievement Trajectories: English-Language Learner and Native English-Speaker Estimates, Using the Early Childhood Longitudinal Survey

PubMed Central

Roberts, Greg; Bryant, Diane

2012-01-01

This study used data from the Early Childhood Longitudinal Survey, Kindergarten Class of 1998 –1999, to (a) estimate mathematics achievement trends through 5th grade in the population of students who are English-language proficient by the end of kindergarten, (b) compare trends across primary language groups within this English-language proficient group, (c) evaluate the effect of low socioeconomic status (SES) for English-language proficient students and within different primary language groups, and (d) estimate language-group trends in specific mathematics skill areas. The group of English-language proficient English-language learners (ELLs) was disaggregated into native Spanish speakers and native speakers of Asian languages, the 2 most prevalent groups of ELLs in the United States. Results of multilevel latent variable growth modeling suggest that primary language may be less salient than SES in explaining the mathematics achievement of English-language proficient ELLs. The study also found that mathematics-related school readiness is a key factor in explaining subsequent achievement differences and that the readiness gap is prevalent across the range of mathematics-related skills. PMID:21574702

Mathematical, Constitutive and Numerical Modelling of Catastrophic Landslides and Related Phenomena

NASA Astrophysics Data System (ADS)

Pastor, M.; Fernández Merodo, J. A.; Herreros, M. I.; Mira, P.; González, E.; Haddad, B.; Quecedo, M.; Tonni, L.; Drempetic, V.

2008-02-01

Mathematical and numerical models are a fundamental tool for predicting the behaviour of geostructures and their interaction with the environment. The term “mathematical model” refers to a mathematical description of the more relevant physical phenomena which take place in the problem being analyzed. It is indeed a wide area including models ranging from the very simple ones for which analytical solutions can be obtained to those more complicated requiring the use of numerical approximations such as the finite element method. During the last decades, mathematical, constitutive and numerical models have been very much improved and today their use is widespread both in industry and in research. One special case is that of fast catastrophic landslides, for which simplified methods are not able to provide accurate solutions in many occasions. Moreover, many finite element codes cannot be applied for propagation of the mobilized mass. The purpose of this work is to present an overview of the different alternative mathematical and numerical models which can be applied to both the initiation and propagation mechanisms of fast catastrophic landslides and other related problems such as waves caused by landslides.

Is rapid automatized naming related to reading and mathematics for the same reason(s)? A follow-up study from kindergarten to Grade 1.

PubMed

Georgiou, George K; Tziraki, Niki; Manolitsis, George; Fella, Argyro

2013-07-01

We examined (a) what rapid automatized naming (RAN) components (articulation time and/or pause time) predict reading and mathematics ability and (b) what processing skills involved in RAN (speed of processing, response inhibition, working memory, and/or phonological awareness) may explain its relationship with reading and mathematics. A sample of 72 children were followed from the beginning of kindergarten until the end of Grade 1 and were assessed on measures of RAN, general cognitive ability, speed of processing, attention, working memory, phonological awareness, reading, and mathematics. The results indicated that pause time was the critical component in both the RAN-reading and RAN-mathematics relationships and that it shared most of its predictive variance in reading and mathematics with speed of processing and working memory. Our findings further suggested that, unlike the relationship between RAN and reading fluency in Grade 1, there is nothing in the RAN task that is uniquely related to math. Copyright © 2013 Elsevier Inc. All rights reserved.

To What Extent Is Mathematical Ability Predictive of Performance in a Methodology and Statistics Course? Can an Action Research Approach Be Used to Understand the Relevance of Mathematical Ability in Psychology Undergraduates?

ERIC Educational Resources Information Center

Bourne, Victoria J.

2014-01-01

Research methods and statistical analysis is typically the least liked and most anxiety provoking aspect of a psychology undergraduate degree, in large part due to the mathematical component of the content. In this first cycle of a piece of action research, students' mathematical ability is examined in relation to their performance across…

Near Identifiability of Dynamical Systems

NASA Technical Reports Server (NTRS)

Hadaegh, F. Y.; Bekey, G. A.

1987-01-01

Concepts regarding approximate mathematical models treated rigorously. Paper presents new results in analysis of structural identifiability, equivalence, and near equivalence between mathematical models and physical processes they represent. Helps establish rigorous mathematical basis for concepts related to structural identifiability and equivalence revealing fundamental requirements, tacit assumptions, and sources of error. "Structural identifiability," as used by workers in this field, loosely translates as meaning ability to specify unique mathematical model and set of model parameters that accurately predict behavior of corresponding physical system.

Explanatory model of emotional-cognitive variables in school mathematics performance: a longitudinal study in primary school

PubMed Central

Cerda, Gamal; Pérez, Carlos; Navarro, José I.; Aguilar, Manuel; Casas, José A.; Aragón, Estíbaliz

2015-01-01

This study tested a structural model of cognitive-emotional explanatory variables to explain performance in mathematics. The predictor variables assessed were related to students’ level of development of early mathematical competencies (EMCs), specifically, relational and numerical competencies, predisposition toward mathematics, and the level of logical intelligence in a population of primary school Chilean students (n = 634). This longitudinal study also included the academic performance of the students during a period of 4 years as a variable. The sampled students were initially assessed by means of an Early Numeracy Test, and, subsequently, they were administered a Likert-type scale to measure their predisposition toward mathematics (EPMAT) and a basic test of logical intelligence. The results of these tests were used to analyse the interaction of all the aforementioned variables by means of a structural equations model. This combined interaction model was able to predict 64.3% of the variability of observed performance. Preschool students’ performance in EMCs was a strong predictor for achievement in mathematics for students between 8 and 11 years of age. Therefore, this paper highlights the importance of EMCs and the modulating role of predisposition toward mathematics. Also, this paper discusses the educational role of these findings, as well as possible ways to improve negative predispositions toward mathematical tasks in the school domain. PMID:26441739

A study of rural preschool practitioners' views on young children's mathematical thinking

NASA Astrophysics Data System (ADS)

Hunting, Robert P.; Mousley, Judith A.; Perry, Bob

2012-03-01

The project Mathematical Thinking of Preschool Children in Rural and Regional Australia: Research and Practice aimed to investigate views of preschool practitioners about young children's mathematical thinking and development. Structured individual interviews were conducted with 64 preschool practitioners from rural areas of three Australian states. The questions focused on five broad themes: children's mathematics learning, support for mathematics teaching, technology and computers, attitudes and feelings, and assessment and record keeping. We review results from the interview data for each of these themes, discuss their importance, and outline recommendations related to teacher education as well as resource development and research.

Which Preschool Mathematics Competencies Are Most Predictive of Fifth Grade Achievement?

PubMed

Nguyen, Tutrang; Watts, Tyler W; Duncan, Greg J; Clements, Douglas H; Sarama, Julie S; Wolfe, Christopher; Spitler, Mary Elaine

In an effort to promote best practices regarding mathematics teaching and learning at the preschool level, national advisory panels and organizations have emphasized the importance of children's emergent counting and related competencies, such as the ability to verbally count, maintain one-to-one correspondence, count with cardinality, subitize, and count forward or backward from a given number. However, little research has investigated whether the kind of mathematical knowledge promoted by the various standards documents actually predict later mathematics achievement. The present study uses longitudinal data from a primarily low-income and minority sample of children to examine the extent to which preschool mathematical competencies, specifically basic and advanced counting, predict fifth grade mathematics achievement. Using regression analyses, we find early numeracy abilities to be the strongest predictors of later mathematics achievement, with advanced counting competencies more predictive than basic counting competencies. Our results highlight the significance of preschool mathematics knowledge for future academic achievement.

Line integral on engineering mathematics

NASA Astrophysics Data System (ADS)

Wiryanto, L. H.

2018-01-01

Definite integral is a basic material in studying mathematics. At the level of calculus, calculating of definite integral is based on fundamental theorem of calculus, related to anti-derivative, as the inverse operation of derivative. At the higher level such as engineering mathematics, the definite integral is used as one of the calculating tools of line integral. the purpose of this is to identify if there is a question related to line integral, we can use definite integral as one of the calculating experience. The conclusion of this research says that the teaching experience in introducing the relation between both integrals through the engineer way of thinking can motivate and improve students in understanding the material.

Validation of an instrument for mathematics enhancement teaching efficacy of Pacific Northwest agricultural educators

NASA Astrophysics Data System (ADS)

Jansen, Daniel J.

Teacher efficacy continues to be an important area of study in educational research. This study tested an instrument designed to assess the perceived efficacy of agricultural education teachers when engaged in lessons involving mathematics instruction. The study population of Oregon and Washington agricultural educators utilized in the validation of the instrument revealed important demographic findings and specific results related to teacher efficacy for the study population. An instrument was developed from the assimilation of three scales previously used and validated in efficacy research. Participants' mathematics teaching efficacy was assessed using a portion of the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), and personal mathematics efficacy was evaluated by the mathematics self-belief instrument which was derived from the Betz and Hackett's Mathematics Self-Efficacy Scale. The final scale, the Teachers' Sense of Efficacy Scale (TSES) created by Tschannen-Moran and Woolfolk Hoy, examined perceived personal teaching efficacy. Structural equation modeling was used as the statistical analyses tool to validate the instrument and examine correlations between efficacy constructs used to determine potential professional development needs of the survey population. As part of the data required for validation of the Mathematics Enhancement Teaching Efficacy instrument, demographic information defining the population of Oregon and Washington agricultural educators was obtained and reported. A hypothetical model derived from teacher efficacy literature was found to be an acceptable model to verify construct validity and determine strength of correlations between the scales that defined the instrument. The instrument produced an alpha coefficient of .905 for reliability. Both exploratory and confirmatory factor analyses were used to verify construct and discriminate validity. Specifics results related to the survey population of agricultural educators concluded that personal mathematics efficacy has a stronger correlation with mathematics teaching efficacy than personal teaching efficacy of teachers for this population. The implications of such findings suggest that professional development and pre-service preparation should be more focused on mathematics content knowledge rather than pedagogical knowledge when the objective is to enhance mathematics in interdisciplinary lessons.

Numerical approximation abilities correlate with and predict informal but not formal mathematics abilities

PubMed Central

Libertus, Melissa E.; Feigenson, Lisa; Halberda, Justin

2013-01-01

Previous research has found a relationship between individual differences in children’s precision when nonverbally approximating quantities and their school mathematics performance. School mathematics performance emerges from both informal (e.g., counting) and formal (e.g., knowledge of mathematics facts) abilities. It remains unknown whether approximation precision relates to both of these types of mathematics abilities. In the present study we assessed the precision of numerical approximation in 85 3- to 7-year-old children four times over a span of two years. Additionally, at the last time point, we tested children’s informal and formal mathematics abilities using the Test of Early Mathematics Ability (TEMA-3; Ginsburg & Baroody, 2003). We found that children’s numerical approximation precision correlated with and predicted their informal, but not formal, mathematics abilities when controlling for age and IQ. These results add to our growing understanding of the relationship between an unlearned, non-symbolic system of quantity representation and the system of mathematical reasoning that children come to master through instruction. PMID:24076381

Numerical approximation abilities correlate with and predict informal but not formal mathematics abilities.

PubMed

Libertus, Melissa E; Feigenson, Lisa; Halberda, Justin

2013-12-01

Previous research has found a relationship between individual differences in children's precision when nonverbally approximating quantities and their school mathematics performance. School mathematics performance emerges from both informal (e.g., counting) and formal (e.g., knowledge of mathematics facts) abilities. It remains unknown whether approximation precision relates to both of these types of mathematics abilities. In the current study, we assessed the precision of numerical approximation in 85 3- to 7-year-old children four times over a span of 2years. In addition, at the final time point, we tested children's informal and formal mathematics abilities using the Test of Early Mathematics Ability (TEMA-3). We found that children's numerical approximation precision correlated with and predicted their informal, but not formal, mathematics abilities when controlling for age and IQ. These results add to our growing understanding of the relationship between an unlearned nonsymbolic system of quantity representation and the system of mathematics reasoning that children come to master through instruction. Copyright © 2013 Elsevier Inc. All rights reserved.

Computer-Assisted Problem Solving in School Mathematics

ERIC Educational Resources Information Center

Hatfield, Larry L.; Kieren, Thomas E.

1972-01-01

A test of the hypothesis that writing and using computer programs related to selected mathematical content positively affects performance on those topics. Results particularly support the hypothesis. (MM)

Didactical Design Material Units of Distance and Speed to Developed Mathematical Connection in Elementary School

NASA Astrophysics Data System (ADS)

Jannah, R. R.; Apriliya, S.; Karlimah

2017-03-01

This study aims to develop alternative instructional design based of barriers learning which identified by developing mathematical connection capabilities to the material unit of distance and speed. The research was conducted in the fifth grade elementary school Instructional design is complemented with a hypothetical learning trajectory in the form of a pedagogical didactic anticipation. The method used is descriptive method with qualitative approach. Techniques data collection used were observation, interviews, and documentation. The instrument used the researchers themselves are equipped with an instrument written test. The data were analyzed qualitatively to determine the student learning obstacles, then arrange hypothetical learning trajectory and pedagogical didactic anticipation. Learning obstacle are identified, it is learning obstacle related the connections between mathematical topics, learning obstacle related with other disciplines, and learning obstacle related with everyday life. The results of this research are improvement and development of didactic design in mathematics which has activities mathematical connection to the material unit of distance and speed in elementary school. The learning activities are carried out is using varied methods include method lectures, demonstrations, practice and exercise, as well as using the modified instructional media.

Developmental gains in visuospatial memory predict gains in mathematics achievement.

PubMed

Li, Yaoran; Geary, David C

2013-01-01

Visuospatial competencies are related to performance in mathematical domains in adulthood, but are not consistently related to mathematics achievement in children. We confirmed the latter for first graders and demonstrated that children who show above average first-to-fifth grade gains in visuospatial memory have an advantage over other children in mathematics. The study involved the assessment of the mathematics and reading achievement of 177 children in kindergarten to fifth grade, inclusive, and their working memory capacity and processing speed in first and fifth grade. Intelligence was assessed in first grade and their second to fourth grade teachers reported on their in-class attentive behavior. Developmental gains in visuospatial memory span (d = 2.4) were larger than gains in the capacity of the central executive (d = 1.6) that in turn were larger than gains in phonological memory span (d = 1.1). First to fifth grade gains in visuospatial memory and in speed of numeral processing predicted end of fifth grade mathematics achievement, as did first grade central executive scores, intelligence, and in-class attentive behavior. The results suggest there are important individual differences in the rate of growth of visuospatial memory during childhood and that these differences become increasingly important for mathematics learning.

Learning to teach mathematics with technology: A survey of professional development needs, experiences and impacts

NASA Astrophysics Data System (ADS)

Bennison, Anne; Goos, Merrilyn

2010-04-01

The potential for digital technologies to enhance students' mathematics learning is widely recognised, and use of computers and graphics calculators is now encouraged or required by secondary school mathematics curriculum documents throughout Australia. However, previous research indicates that effective integration of technology into classroom practice remains patchy, with factors such as teacher knowledge, confidence, experience and beliefs, access to resources, and participation in professional development influencing uptake and implementation. This paper reports on a large-scale survey of technology-related professional development experiences and needs of Queensland secondary mathematics teachers. Teachers who had participated in professional development were found to be more confident in using technology and more convinced of its benefits in supporting students' learning of mathematics. Experienced, specialist mathematics teachers in large metropolitan schools were more likely than others to have attended technology-related professional development, with lack of time and limited access to resources acting as hindrances to many. Teachers expressed a clear preference for professional development that helps them meaningfully integrate technology into lessons to improve student learning of specific mathematical topics. These findings have implications for the design and delivery of professional development that improves teachers' knowledge, understanding, and skills in a diverse range of contexts.

Visual-spatial abilities relate to mathematics achievement in children with heavy prenatal alcohol exposure

PubMed Central

Crocker, N.; Riley, E.P.; Mattson, S.N.

2014-01-01

Objective The current study examined the relationship between mathematics and attention, working memory, and visual memory in children with heavy prenatal alcohol exposure and controls. Method Fifty-six children (29 AE, 27 CON) were administered measures of global mathematics achievement (WRAT-3 Arithmetic & WISC-III Written Arithmetic), attention, (WISC-III Digit Span forward and Spatial Span forward), working memory (WISC-III Digit Span backward and Spatial Span backward), and visual memory (CANTAB Spatial Recognition Memory and Pattern Recognition Memory). The contribution of cognitive domains to mathematics achievement was analyzed using linear regression techniques. Attention, working memory and visual memory data were entered together on step 1 followed by group on step 2, and the interaction terms on step 3. Results Model 1 accounted for a significant amount of variance in both mathematics achievement measures, however, model fit improved with the addition of group on step 2. Significant predictors of mathematics achievement were Spatial Span forward and backward and Spatial Recognition Memory. Conclusions These findings suggest that deficits in spatial processing may be related to math impairments seen in FASD. In addition, prenatal alcohol exposure was associated with deficits in mathematics achievement, above and beyond the contribution of general cognitive abilities. PMID:25000323

Visual-spatial abilities relate to mathematics achievement in children with heavy prenatal alcohol exposure.

PubMed

Crocker, Nicole; Riley, Edward P; Mattson, Sarah N

2015-01-01

The current study examined the relationship between mathematics and attention, working memory, and visual memory in children with heavy prenatal alcohol exposure and controls. Subjects were 56 children (29 AE, 27 CON) who were administered measures of global mathematics achievement (WRAT-3 Arithmetic & WISC-III Written Arithmetic), attention, (WISC-III Digit Span forward and Spatial Span forward), working memory (WISC-III Digit Span backward and Spatial Span backward), and visual memory (CANTAB Spatial Recognition Memory and Pattern Recognition Memory). The contribution of cognitive domains to mathematics achievement was analyzed using linear regression techniques. Attention, working memory, and visual memory data were entered together on Step 1 followed by group on Step 2, and the interaction terms on Step 3. Model 1 accounted for a significant amount of variance in both mathematics achievement measures; however, model fit improved with the addition of group on Step 2. Significant predictors of mathematics achievement were Spatial Span forward and backward and Spatial Recognition Memory. These findings suggest that deficits in spatial processing may be related to math impairments seen in FASD. In addition, prenatal alcohol exposure was associated with deficits in mathematics achievement, above and beyond the contribution of general cognitive abilities. PsycINFO Database Record (c) 2015 APA, all rights reserved.

Developmental Gains in Visuospatial Memory Predict Gains in Mathematics Achievement

PubMed Central

Li, Yaoran; Geary, David C.

2013-01-01

Visuospatial competencies are related to performance in mathematical domains in adulthood, but are not consistently related to mathematics achievement in children. We confirmed the latter for first graders and demonstrated that children who show above average first-to-fifth grade gains in visuospatial memory have an advantage over other children in mathematics. The study involved the assessment of the mathematics and reading achievement of 177 children in kindergarten to fifth grade, inclusive, and their working memory capacity and processing speed in first and fifth grade. Intelligence was assessed in first grade and their second to fourth grade teachers reported on their in-class attentive behavior. Developmental gains in visuospatial memory span (d = 2.4) were larger than gains in the capacity of the central executive (d = 1.6) that in turn were larger than gains in phonological memory span (d = 1.1). First to fifth grade gains in visuospatial memory and in speed of numeral processing predicted end of fifth grade mathematics achievement, as did first grade central executive scores, intelligence, and in-class attentive behavior. The results suggest there are important individual differences in the rate of growth of visuospatial memory during childhood and that these differences become increasingly important for mathematics learning. PMID:23936154

Relations of Instructional Tasks to Teacher-Student Discourse in Mathematics Classrooms of Chinese Primary Schools

ERIC Educational Resources Information Center

Ni, Yujing; Zhou, Dehui; Li, Xiaoqing; Li, Qiong

2014-01-01

This study, based on observation of 90 fifth-grade mathematics classes in Chinese elementary schools, examined how the task features, high cognitive demand, multiple representations, and multiple solution methods may relate to classroom discourse. Results indicate that high cognitive demand tasks were associated with teachers' use higher order…

Object-Spatial Visualization and Verbal Cognitive Styles, and Their Relation to Cognitive Abilities and Mathematical Performance

ERIC Educational Resources Information Center

Haciomeroglu, Erhan Selcuk

2016-01-01

The present study investigated the object-spatial visualization and verbal cognitive styles among high school students and related differences in spatial ability, verbal-logical reasoning ability, and mathematical performance of those students. Data were collected from 348 students enrolled in Advanced Placement calculus courses at six high…

Electrooculography: Connecting Mind, Brain, and Behavior in Mathematics Education Research

ERIC Educational Resources Information Center

Shipulina, Olga V.; Campbell, Stephen R.; Cimen, Arda O.

2009-01-01

This paper reports on the potential roles and importance of electrooculography (EOG) for mathematics educational neuroscience research. EOG enables accurate measurements of eye-related behavior (i.e., blinks & movements) by recording changes in voltage potentials generated by eye-related behavior. We identify and discuss three main uses of EOG.…

An Evaluation of Some Motivational Materials Related to the History of Mathematics.

ERIC Educational Resources Information Center

Fraser, Barry J.; Koop, Anthony J.

This report evaluates motivational materials related to the history of mathematics. Materials produced included plays, written articles, slide-tape presentations, and videotapes. Two of these, plays and written articles, were chosen for intensive study. The study included a survey of teacher opinion, a student questionnaire, and evaluations by…

Thinking and Reasoning with Data and Chance: 68th NCTM Yearbook (2006)

ERIC Educational Resources Information Center

National Council of Teachers of Mathematics, 2006

2006-01-01

The 2006 NCTM Sixty-eighth Yearbook focuses on students' and teachers' learning in statistics centered on a set of activities. Topics include the relation between mathematics and statistics, the development and enrichment of mathematical concepts through the use of statistics, and a discussion of the research related to teaching and learning…

Understanding Middle School Students' Motivation in Math Class: The Expectancy-Value Model Perspective

ERIC Educational Resources Information Center

Yurt, Eyup

2015-01-01

One of the most important variables affecting middle school students' mathematics performance is motivation. Motivation is closely related with expectancy belief regarding the task and value attached to the task. Identification of which one or ones of the factors constituting motivation is more closely related to mathematics performance may help…

Mathematics-Related Competence of Early Childhood Teachers Visiting a Continuous Professional Development Course: An Intervention Study

ERIC Educational Resources Information Center

Bruns, Julia; Eichen, Lars; Gasteiger, Hedwig

2017-01-01

Recent studies highlight early childhood teachers' mathematics-related competence. Developing this competence should be a main aspect of early childhood teachers' education. This is, however, not the case in all countries. Consequently, high-quality professional development courses are needed. Based on research results, we developed a…

A Cabinet of Mathematical Curiosities at Teachers College: David Eugene Smith's Collection

ERIC Educational Resources Information Center

Murray, Diane R.

2012-01-01

This dissertation is a history of David Eugene Smith's collection of historical books, manuscripts, portraits, and instruments related to mathematics. The study analyzes surviving documents, images, objects, college announcements and catalogs, and secondary sources related to Smith's collection. David Eugene Smith (1860-1944) travelled…

Microteaching Lesson Study: Mentor Interaction Structure and Its Relation to Elementary Preservice Mathematics Teacher Knowledge Development

ERIC Educational Resources Information Center

Molina, Roxanne V.

2012-01-01

This study investigated Microteaching Lesson Study (MLS) and three possible MLS mentor interaction structures during the debriefing sessions in relation to elementary preservice teacher development of knowledge for teaching. One hundred three elementary preservice teachers enrolled in five different sections of a mathematics methods course at a…

Toward an Ethical Attitude in Mathematics Education Research Writing

ERIC Educational Resources Information Center

Andersson, Annica; le Roux, Kate

2017-01-01

In this article, the authors propose a set of multi-level questions as a guide for developing an ethical attitude in researcher--participant and researcher--researcher relations during the research writing process. Drawing on the sociopolitical turn in mathematics education, the authors view these relations in terms of power and positionings, in…

The profile of conceptual comprehension of pre-service teacher in the mathematical problem solving with low emotional intelligence

NASA Astrophysics Data System (ADS)

Prayitno, S. H.; Suwarsono, St.; Siswono, T. Y. E.

2018-03-01

Conceptual comprehension in this research is the ability to use the procedures that are owned by pre-service teachers to solve problems by finding the relation of the concept to another, or can be done by identifying the type of problem and associating it with a troubleshooting procedures, or connect the mathematical symbols with mathematical ideas and incorporate them into a series of logical reasoning, or by using prior knowledge that occurred directly, through its conceptual knowledge. The goal of this research is to describe the profile of conceptual comprehensin of pre-service teachers with low emotional intelligence in mathematical problems solving. Through observation and in-depth interview with the research subject the conclusion was that: pre-service teachers with low emotional intelligence pertained to the level of formal understanding in understanding the issues, relatively to the level of intuitive understanding in planning problem solving, to the level of relational understanding in implementing the relational problem solving plan, and pertained to the level of formal understanding in looking back to solve the problem.

Longitudinal Associations between Executive Control and Developing Mathematical Competence in Preschool Boys and Girls

ERIC Educational Resources Information Center

Clark, Caron A. C.; Sheffield, Tiffany D.; Wiebe, Sandra A.; Espy, Kimberly A.

2013-01-01

Executive control (EC) is related to mathematics performance in middle childhood. However, little is known regarding how EC and informal numeracy differentially support mathematics skill acquisition in preschoolers. A sample of preschoolers (115 girls, 113 boys), stratified by social risk, completed an EC task battery at 3 years, informal numeracy…

Getting Ready for the Profession: Prospective Teachers' Noticing Related to Teacher Actions

ERIC Educational Resources Information Center

Osmanoglu, Aslihan; Isiksal, Mine; Koc, Yusuf

2015-01-01

The aim of this study was to investigate what the prospective elementary mathematics teachers noticed and how their noticing changed in an environment in which they discuss on video cases. To achieve this aim, we asked senior elementary mathematics prospective teachers to watch and discuss videos depicting real elementary mathematics classrooms.…

The Differential Effects of Gender and Mathematics Anxiety-Apprehension on Developmental Students' Academic Performance and Persistence.

ERIC Educational Resources Information Center

Ikegulu, T. Nelson

The performance of 244 (111 male and 133 female) developmental college students was studied in relation to their perceived levels of mathematics anxiety (123 low and 121 high). The Mathematics Anxiety-Apprehension Survey (MAAS) (T. Ikegulu, 1998) was administered to students in four classes from two institutions. The product limit estimator…

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…

The Role of Mother Tongue Literacy in Language Learning and Mathematical Learning: Is There a Multilingual Benefit for Both?

ERIC Educational Resources Information Center

Dahm, Rebecca; De Angelis, Gessica

2018-01-01

The present study examines the multilingual benefit in relation to language learning and mathematical learning. The objective is to assess whether speakers of three or more languages, depending on language profile and personal histories, show significant advantages in language learning and/or mathematical learning, and whether mother tongue…

Teaching Mathematical Word Problem Solving: The Quality of Evidence for Strategy Instruction Priming the Problem Structure

ERIC Educational Resources Information Center

Jitendra, Asha K.; Petersen-Brown, Shawna; Lein, Amy E.; Zaslofsky, Anne F.; Kunkel, Amy K.; Jung, Pyung-Gang; Egan, Andrea M.

2015-01-01

This study examined the quality of the research base related to strategy instruction priming the underlying mathematical problem structure for students with learning disabilities and those at risk for mathematics difficulties. We evaluated the quality of methodological rigor of 18 group research studies using the criteria proposed by Gersten et…

Intra-Mathematical Connections Made by High School Students in Performing Calculus Tasks

ERIC Educational Resources Information Center

García-García, Javier; Dolores-Flores, Crisólogo

2018-01-01

In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas,…

Interest in Mathematics = Interest in Mathematics? What General Measures of Interest Reflect When the Object of Interest Changes

ERIC Educational Resources Information Center

Ufer, Stefan; Rach, Stefanie; Kosiol, Timo

2017-01-01

Students' motivational characteristics, e.g., subject-related interest, are considered important predictors for successful learning processes. However, few empirical studies provide evidence for the assumed chain of effects between high interest and high achievement in mathematics. One reason for this result might be that the applied measures of…

Confidence in Mathematics and Its Consequences: Gender Differences among Israeli Jewish and Arab Youth.

ERIC Educational Resources Information Center

Mittelberg, David; Lev-Ari, Lilach

1999-01-01

Studied the relative weight of personal, social, and cultural variables that explain gender differences in mathematics learning in different sectors of Israeli society. Results from 106 Jewish and 105 Arab high school students show the higher perceived achievement and mathematics self-confidence of the Arab girls. Explores reasons for the…

A Modular Approach to Teaching Mathematical Modeling in Biotechnology in the Undergraduate Curriculum

ERIC Educational Resources Information Center

Larripa, Kamila R.; Mazzag, Borbala

2016-01-01

Our paper describes a solution we found to a still existing need to develop mathematical modeling courses for undergraduate biology majors. Some challenges of such courses are: (i) relatively limited exposure of biology students to higher-level mathematical and computational concepts; (ii) availability of texts that can give a flavor of how…

Mathematics Education Research in Finland: Yearbook, 1987-1988. Publication Series B: Theory into Practice 39.

ERIC Educational Resources Information Center

Kupari, Pekka, Ed.

This yearbook includes four articles, one of which is written in German. The first article, "The Development of Mathematics Attitudes on the Upper Level of the Comprehensive School" (Olavi Karjalainen), examines the development of children's attitudes towards mathematics and the factors related to the development during the upper level…

A High School Mathematics Teacher Tacking through the Middle Way: Toward a Critical Postmodern Autoethnography in Mathematics Education

ERIC Educational Resources Information Center

Wamsted, John Oliver

2013-01-01

The "urban" mathematics classroom has become an increasingly polarized site, one where many middle-class White teachers attempt to bridge the divide between themselves and their relatively economically disadvantaged, non-White students. With its mania for high-stakes testing, current education policy has intensified the importance of…

Exploring Informal Mathematical Products of Low Achievers at the Secondary School Level

ERIC Educational Resources Information Center

Karsenty, Ronnie; Arcavi, Abraham; Hadas, Nurit

2007-01-01

This article examines the notion of informal mathematical products, in the specific context of teaching mathematics to low achieving students at the secondary school level. The complex and relative nature of this notion is illustrated and some of its characteristics are suggested. These include the use of ad-hoc strategies, mental calculations,…

Teaching Mathematics to Secondary Students with Emotional and Behavioral Disorders: Challenges and Practical Suggestions for Teachers

ERIC Educational Resources Information Center

Mulcahy, Candace A.; Krezmien, Michael; Maccini, Paula

2014-01-01

While the Common Core State Standards and state learning standards guide teachers in what mathematical content knowledge should be addressed as well as the processes and proficiencies necessary for developing mathematical competence, several student- and teacher-related factors may hinder student access to the general education curriculum for…

A Case Study of Pedagogy of Mathematics Support Tutors without a Background in Mathematics Education

ERIC Educational Resources Information Center

Walsh, Richard

2017-01-01

This study investigates the pedagogical skills and knowledge of three tertiary-level mathematics support tutors in a large group classroom setting. This is achieved through the use of video analysis and a theoretical framework comprising Rowland's Knowledge Quartet and general pedagogical knowledge. The study reports on the findings in relation to…

How Far a Star. A Supplement in Space Oriented Concepts for Science and Mathematics Curricula for Intermediate Grades.

ERIC Educational Resources Information Center

Maben, Jerrold William

Space science-oriented concepts and suggested activities are presented for intermediate grade teachers of science and mathematics in a book designed to help bring applications of space-oriented mathematics into the classroom. Concepts and activities are considered in these areas: methods of keeping time (historically); measurement as related to…

Fostering Modeling Competencies: Benefits of Worked Examples, Problems to Be Solved, and Fading Procedures

ERIC Educational Resources Information Center

Große, Cornelia S.

2015-01-01

The application of mathematics to real-world problems is moving more and more in the focus of attention of mathematics education; however, many learners experience huge difficulties in relating "pure" mathematics to everyday contents. In order to solve "modeling problems", it is first necessary to find a transition from a…

Embedding Language Support in Developmental Mathematics Lessons: Exploring the Value of Design as Professional Development for Community College Mathematics Instructors

ERIC Educational Resources Information Center

Gomez, Kimberley; Gomez, Louis M.; Rodela, Katherine C.; Horton, Emily S.; Cunningham, Jahneille; Ambrocio, Rocio

2015-01-01

Three community college faculty members used improvement science techniques to design, develop, and refine contextualized developmental mathematics lessons, where language and literacy pedagogy and related supports figured prominently in these instructional materials. This article reports on the role that their design experiences played in…

To What Extent Do Teacher-Student Interaction Quality and Student Gender Contribute to Fifth Graders' Engagement in Mathematics Learning?

ERIC Educational Resources Information Center

Rimm-Kaufman, Sara E.; Baroody, Alison E.; Larsen, Ross A. A.; Curby, Timothy W.; Abry, Tashia

2015-01-01

This study examines concurrent teacher-student interaction quality and 5th graders' (n = 387) engagement in mathematics classrooms (n = 63) and considers how teacher-student interaction quality relates to engagement differently for boys and girls. Three approaches were used to measure student engagement in mathematics: Research assistants observed…

Interactions between Language and Mathematics with Deaf Students: Defining the "Language-Mathematics" Equation.

ERIC Educational Resources Information Center

Hillegeist, Eleanor; Epstein, Kenneth

The study examined the relationship between language and mathematics with 11 classes of deaf students taking Algebra 1 or Algebra 2 at the Gallaudet University School of Preparatory Studies. Specifically, the study attempted to predict the difficulty of a variety of relatively simple algebra problems based on the abstractness of the math and the…

Students' Experiences of Mathematics during the Transition from Primary to Secondary School

ERIC Educational Resources Information Center

Attard, Catherine

2010-01-01

As part of a longitudinal case study on engagement in middle years mathematics, 20 students attending their first year of secondary school in Western Sydney were asked to provide views on their experiences of the transition to secondary school in relation to mathematics teaching and learning. Differences in teacher-student relationships caused the…

Women and Men Go to University: Mathematical Background and Gender Differences in Choice of Field in Higher Education.

ERIC Educational Resources Information Center

Ayalon, Hanna

2003-01-01

Using data on applicants to an Israeli university, researchers examined whether high school course-taking patterns affected gender segregation in higher education. Women were underrepresented among applicants to mathematics-related studies. Mathematical background in high school effectively narrowed the gender gap in applying to selective and…

The Influence of Mathematics Professional Development, School-Level, and Teacher-Level Variables on Primary Students' Mathematics Achievement

ERIC Educational Resources Information Center

Polly, Drew; Wang, Chuang; Martin, Christie; Lambert, Richard; Pugalee, David; Middleton, Catherina

2018-01-01

This study examined the influence of a professional development project about an internet-based mathematics formative assessment tool and related pedagogies on primary teachers' instruction and student achievement. Teachers participated in 72 h of professional development during the year. Descriptive statistics and multivariate analyses of…

Evaluation of Mathematical Self-Explanations with LSA in a Counterintuitive Problem of Probabilities

ERIC Educational Resources Information Center

Guiu, Jordi Maja

2012-01-01

In this paper different type of mathematical explanations are presented in relation to the mathematical problem of probabilities Monty Hall (card version) and the computational tool Latent Semantic Analyses (LSA) is used. At the moment the results in the literature about this computational tool to study texts show that this technique is…

Investigating Pre-Service Mathematics Teachers' Innovation Awareness and Views Regarding Intelligent Tutoring Systems

ERIC Educational Resources Information Center

Erdemir, Mustafa; Ingeç, Sebnem Kandil

2016-01-01

The purpose of this study is to identify pre-service primary mathematics teachers' views regarding on Web-based Intelligent Tutoring Systems (WBITS) in relation to its usability and influence on teaching. A survey method was used. The study was conducted with 43 students attending the mathematics teaching program under the department of elementary…

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…

Connecting Teacher Beliefs to the Use of Children's Literature in the Teaching of Mathematics

ERIC Educational Resources Information Center

Cotti, Rainy; Schiro, Michael

2004-01-01

This article presents examples that illustrate how teachers use children's literature in the teaching of mathematics. The examples are related to four curriculum ideologies that have influenced mathematics education in the USA for the last 75 years. It discusses why it is relevant to help teachers understand the ideological positions that…

Elements of Mathematics, Book O: Intuitive Background. Chapter 14, Geometry: Similitudes, Coordinates, and Trigonometry.

ERIC Educational Resources Information Center

Exner, Robert; And Others

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Ninth-Graders' Mathematics Coursetaking, Motivations, and Educational Plans. Stats in Brief. NCES 2015-990

ERIC Educational Resources Information Center

Hudson, Lisa; O'Rear, Isaiah

2014-01-01

Research indicates that mathematics coursetaking is related to positive academic and economic outcomes. Studies have found that high school students who take more rather than fewer mathematics courses are more likely to attend college and to have higher levels of educational attainment. Research also suggests that high school students who complete…

Who's Wrong? Tasks Fostering Understanding of Mathematical Relationships in Word Problems in Elementary Students

ERIC Educational Resources Information Center

Savard, Annie; Polotskaia, Elena

2017-01-01

Mathematical relationships are crucial elements to consider for learning mathematics. However, too often students pay more attention to the calculations to be done rather than the reasons for doing them. Relying on the relational paradigm to support elementary school students, we proposed two specially designed tasks to help students recognize and…

Gender-Related Effects of Group Learning on Mathematics Achievement among the Rural Secondary Students

ERIC Educational Resources Information Center

Hossain, Md. Anowar; Tarmizi, Rohani Ahmad

2012-01-01

Problem Statement: Gender differences in the effects of group learning play a contested role in mathematics education. Several researchers concluded that male students perform better on mathematics than female students. Whilst on the other hand, others reported that female students perform best under the group learning setting whereas the male…

Dismantling the Birdcage: Adolescent Girls' Attitudes towards Learning Mathematics with a Relational Pedagogy in a Problem-Based Environment

ERIC Educational Resources Information Center

Schettino, Carmel

2013-01-01

Although the Gender Achievement Gap is closing in mathematics, the "interest gap" in pursuing STEM fields is not. Mathematics education research has discussed constructivist, student-centered and inclusive methods of teaching that have been found to encourage students that have underachieved and been underrepresented in STEM fields. One…

A Mathematics Intervention for Low-Performing Finnish Second Graders: Findings from a Pilot Study

ERIC Educational Resources Information Center

Mononen, Riikka; Aunio, Pirjo

2014-01-01

Evidence-based practice is highly appreciated and demanded in the field of education, especially in relation to extra support provided for children struggling with learning. Currently, there is a lack of intervention studies in the area of mathematics. This study aimed to investigate the effects of a short mathematics intervention programme on…

Can Interactive Visualization Tools Engage and Support Pre-University Students in Exploring Non-Trivial Mathematical Concepts?

ERIC Educational Resources Information Center

Liang, Hai-Ning; Sedig, Kamran

2010-01-01

Many students find it difficult to engage with mathematical concepts. As a relatively new class of learning tools, visualization tools may be able to promote higher levels of engagement with mathematical concepts. Often, development of new tools may outpace empirical evaluations of the effectiveness of these tools, especially in educational…

Teaching Efficacy: Exploring Relationships between Mathematics and Science Self-Efficacy Beliefs, PCK and Domain Knowledge among Preservice Teachers from the United States

ERIC Educational Resources Information Center

Thomson, Margareta Maria; DiFrancesca, Daniell; Carrier, Sarah; Lee, Carrie

2017-01-01

This mixed-methods study investigated the relationships among preservice teachers' efficacy beliefs, pedagogical content knowledge (PCK) and their domain knowledge (DK) as related to mathematics and science teaching. Quantitative results revealed that participants' PCK was significantly correlated with their mathematics and science efficacy…

Biomedical Mathematics, Unit I: Measurement, Linear Functions and Dimensional Algebra. Student Text. Revised Version, 1975.

ERIC Educational Resources Information Center

Biomedical Interdisciplinary Curriculum Project, Berkeley, CA.

This text presents lessons relating specific mathematical concepts to the ideas, skills, and tasks pertinent to the health care field. Among other concepts covered are linear functions, vectors, trigonometry, and statistics. Many of the lessons use data acquired during science experiments as the basis for exercises in mathematics. Lessons present…

The Mathematical Abilities and Personality of Undergraduate Psychology Students Relative to Other Student Groups

ERIC Educational Resources Information Center

Bhakta, Roy; Wood, Clare; Lawson, Duncan

2010-01-01

This study examined differences in personality and mathematical ability between students studying Business, Psychology, Sports and Nursing. There were 286 participants who each completed a mathematics diagnostics test and a Revised Eysenck Personality Questionnaire (EPQ-R) during the first term of their first year of study. There was a significant…

Two Theories of "Theory" in Mathematics Education: Using Kuhn and Lakatos to Examine Four Foundational Issues.

ERIC Educational Resources Information Center

Orton, Robert E.

1988-01-01

The ideas of Kuhn and Lakatos are used to study four issues in mathematics education related to values, units of analysis, theory of mind, and nature of mathematical entities. The goal is to determine whether differences between the assumptions are best understood in Kuhnian or Lakatosian terms. (MNS)

Private Speech Use in Arithmetical Calculation: Contributory Role of Phonological Awareness in Children with and without Mathematical Difficulties

ERIC Educational Resources Information Center

Ostad, Snorre A.

2013-01-01

The majority of recent studies conclude that children's private speech development (private speech internalization) is related to and important for mathematical development and disabilities. It is far from clear, however, whether private speech internalization itself plays any causal role in the development of mathematical competence. The main…

Preservice Teachers of High School Mathematics: Success, Failure, and Persistence in the Face of Mathematical Challenges

ERIC Educational Resources Information Center

Sinicrope, Rose; Eppler, Marion; Preston, Ronald V.; Ironsmith, Marsha

2015-01-01

The goal of this study was to identify variables related to success and resilience in an undergraduate, high school mathematics teacher education program. Over a five-year period, we tracked the academic performance and achievement motivation goals of multiple cohorts of students. Students who successfully completed their degrees had higher grade…

Teacher Beliefs toward Using Alternative Teaching Approaches in Science and Mathematics Classes Related to Experience in Teaching

ERIC Educational Resources Information Center

Isiksal-Bostan, Mine; Sahin, Elvan; Ertepinar, Hamide

2015-01-01

The purpose of this study was to examine the relationships among Turkish classroom, science and mathematics teachers' beliefs toward using inquiry-based approaches, traditional teaching approaches, and technology in their mathematics and science classrooms; their efficacy beliefs in teaching those subjects; and years of experience in teaching in…

Space Mathematics, A Resource for Teachers Outlining Supplementary Space-Related Problems in Mathematics.

ERIC Educational Resources Information Center

Reynolds, Thomas D.; And Others

This compilation of 138 problems illustrating applications of high school mathematics to various aspects of space science is intended as a resource from which the teacher may select questions to supplement his regular course. None of the problems require a knowledge of calculus or physics, and solutions are presented along with the problem…

Teaching and Learning Issues in Mathematics in the Context of Nepal

ERIC Educational Resources Information Center

Panthi, Ram Krishna; Belbase, Shashidhar

2017-01-01

In this paper, we discussed major issues of mathematics teaching and learning in Nepal. The issues coming from theories such as social and radical constructivism suggest that teachers are not trained to use such approach in teaching mathematics, and there is a lack of teaching aids and materials and technological tools. The issues related to…

The Stability of Learners' Choices for Real-Life Situations to Be Used in Mathematics

ERIC Educational Resources Information Center

Julie, Cyril

2013-01-01

One of the efforts to improve and enhance the performance and achievement in mathematics of learners is the incorporation of life-related contexts in mathematics teaching and assessments. These contexts are normally, with good reasons, decided upon by curriculum makers, textbook authors, teachers and constructors of examinations and tests.…

Efficacy of the Cooperative Learning Method on Mathematics Achievement and Attitude: A Meta-Analysis Research

ERIC Educational Resources Information Center

Capar, Gulfer; Tarim, Kamuran

2015-01-01

This research compiles experimental studies from 1988 to 2010 that examined the influence of the cooperative learning method, as compared with that of traditional methods, on mathematics achievement and on attitudes towards mathematics. The related field was searched using the following key words in Turkish "matematik ve isbirlikli ögrenme,…

The Nature of Feedback Given to Elementary Student Teachers from University Supervisors after Observations of Mathematics Lessons

ERIC Educational Resources Information Center

Schwartz, Catherine; Walkowiak, Temple A.; Poling, Lisa; Richardson, Kerri; Polly, Drew

2018-01-01

This research explores the frequency and nature of mathematics-specific feedback given to elementary student teachers by university supervisors across a collection of post-lesson observation forms. Approximately one-third of the forms (n = 250) analysed from five large universities had no comments related to mathematics. Forms that did have…

Mathematics. Unit 6: A Core Curriculum of Related Instruction for Apprentices.

ERIC Educational Resources Information Center

New York State Education Dept., Albany. Bureau of Occupational and Career Curriculum Development.

The mathematics unit is presented to assist apprentices to acquire a general knowledge of mathematic skills. The unit consists of nine modules: (1) basic addition, subtraction, multiplication, and division; (2) conventional linear measure; (3) using the metric system, (4) steps to take in solving problems, (5) how to calculate areas and volumes,…

Computational Technique for Teaching Mathematics (CTTM): Visualizing the Polynomial's Resultant

ERIC Educational Resources Information Center

Alves, Francisco Regis Vieira

2015-01-01

We find several applications of the Dynamic System Geogebra--DSG related predominantly to the basic mathematical concepts at the context of the learning and teaching in Brasil. However, all these works were developed in the basic level of Mathematics. On the other hand, we discuss and explore, with DSG's help, some applications of the polynomial's…

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,…

TPACK for Pre-Service Science and Mathematics Teachers

ERIC Educational Resources Information Center

Kafyulilo, Ayoub C.

2010-01-01

This article is focused on unveiling the concept of TPACK in relation to teaching and learning in science and mathematics as well as the meaning of TPACK for pre-service science and mathematics teachers training. In describing this, different literatures were consulted on the meaning of TPACK, its origin and the way it can be integrated in…

Analysis of the Mathematical Proof Skills of Students of Science Teaching

ERIC Educational Resources Information Center

Gökkt, Burçin; Soylu, Yasin; Sahin, Ömer

2014-01-01

Mathematics and proof are two closely related concepts. Mathematics not only shows what is right or wrong, but it also teaches that it is not enough to know the latest formulas and results should be explained with causality. In this context, students learn the underlying meaning behind what mathematicians do by way of proofs. Accordingly, this…

Gaining Modelling and Mathematical Experience by Constructing Virtual Sensory Systems in Maze-Videogames

ERIC Educational Resources Information Center

Sacristán, Ana Isabel; Pretelín-Ricárdez, Angel

2017-01-01

This work is part of a research project that aims to enhance engineering students' learning of how to apply mathematics in modelling activities of real-world situations, through the construction (design and programming) of videogames. We want also for students to relate their mathematical knowledge with other disciplines (e.g., physics, computer…

Correlation Educational Model in Primary Education Curriculum of Mathematics and Computer Science

ERIC Educational Resources Information Center

Macinko Kovac, Maja; Eret, Lidija

2012-01-01

This article gives insight into methodical correlation model of teaching mathematics and computer science. The model shows the way in which the related areas of computer science and mathematics can be supplemented, if it transforms the way of teaching and creates a "joint" lessons. Various didactic materials are designed, in which all…

Examining Student Opinions on Computer Use Based on the Learning Styles in Mathematics Education

ERIC Educational Resources Information Center

Ozgen, Kemal; Bindak, Recep

2012-01-01

The purpose of this study is to identify the opinions of high school students, who have different learning styles, related to computer use in mathematics education. High school students' opinions on computer use in mathematics education were collected with both qualitative and quantitative approaches in the study conducted with a survey model. For…

A College-Level Foundational Mathematics Course: Evaluation, Challenges, and Future Directions

ERIC Educational Resources Information Center

Maciejewski, Wes

2012-01-01

Recently in Ontario, Canada, the College Math Project brought to light startling data on the achievement of students in Ontario's College of Applied Arts and Technology System related to their performance in first-year mathematics courses: one-third of the students had failed their first-year mathematics course or were at risk of not completing…

A Mediation Model to Explain the Role of Mathematics Skills and Probabilistic Reasoning on Statistics Achievement

ERIC Educational Resources Information Center

Primi, Caterina; Donati, Maria Anna; Chiesi, Francesca

2016-01-01

Among the wide range of factors related to the acquisition of statistical knowledge, competence in basic mathematics, including basic probability, has received much attention. In this study, a mediation model was estimated to derive the total, direct, and indirect effects of mathematical competence on statistics achievement taking into account…

Factors Related to White, Black, and Hispanic Women's Mathematics Attainments: A Descriptive Study.

ERIC Educational Resources Information Center

Rothschild, Susan J. S.; Lichtman, Marilyn

Virtually no research conducted on women and mathematics is longitudinal in scope, generalizable in extent, and ethnic-race specific in nature. This descriptive study begins to fill the gap by examining the effects of background, school, and social-psychological factors on Hispanic, black, and white women's mathematics attainments. Data for the…

Mathematics and Science Teachers' Use of and Confidence in Empirical Reasoning: Implications for STEM Teacher Preparation

ERIC Educational Resources Information Center

Wasserman, Nicholas H.; Rossi, Dara

2015-01-01

The recent trend to unite mathematically related disciplines (science, technology, engineering, and mathematics) under the broader umbrella of STEM education has advantages. In this new educational context of integration, however, STEM teachers need to be able to distinguish between sufficient proof and reasoning across different disciplines,…

Critical Reviews in Mathematics Education. Materialien und Studien, Band 9.

ERIC Educational Resources Information Center

Bielefeld Univ. (West Germany). Inst. for Didactics in Mathematics.

Four papers are presented which view research in mathematics education from different perspectives. The titles are: (1) Review of Recent Research Related to the Concepts of Fractions and of Ratio; (2) Some Trends in Research and the Acquisition and Use of Space and Geometry Concepts; (3) A Portrayal of Traditional Teachers of Mathematics in…

Teacher Classroom Practices and Mathematics Performance in South African Schools: A Reflection on TIMSS 2011

ERIC Educational Resources Information Center

Arends, Fabian; Winnaar, Lolita; Mosimege, Mogege

2017-01-01

Teachers play an important role in the provision of quality education. The variety of classroom practices they use in interacting with learners play a critical role in the understanding of mathematical concepts and overall performance in Mathematics. Following the work done by Hattie (2009, 2012) in relation to classroom practices this study…