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Book The Psychology of Mathematical Abilities in Schoolchildren

Download or read book The Psychology of Mathematical Abilities in Schoolchildren written by V. A. Krutetskii and published by . This book was released on 1976 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Psychology of Mathematical Abilities in Schoolchildren

Download or read book The Psychology of Mathematical Abilities in Schoolchildren written by Vadim Andreevich Krutetskii and published by . This book was released on 1989 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Psychology of Mathematical Abilities in Schoolchildren

Download or read book The Psychology of Mathematical Abilities in Schoolchildren written by Vadim A. Kruteckij and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Trade and Employment in Developing Countries  Volume 1

Download or read book Trade and Employment in Developing Countries Volume 1 written by Anne O. Krueger and published by University of Chicago Press. This book was released on 1980-11-01 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first book of a three-volume study examines the way trade policies in developing countries affect the level and composition of employment. There is special emphasis on the effects of import substitution policies that attempt to make a country self-sufficient by producing local substitutes for imports, as compared with policies that further the expansion of imports. Ten countries are studied: Brazil, Chile, Colombia, Indonesia, the Ivory Coast, Pakistan, South Korea, Thailand, Tunisia, and Uruguay. The contributors to the volume analyze the link between trade strategies and employment within a common framework, and the analyses of trade policy include the level and structure of protection, the relation of trade policy to labor demand, the labor intensiveness of trade, and the extent of distortions in factor markets and their effects on trade.

Book The Nature of Mathematical Thinking

Download or read book The Nature of Mathematical Thinking written by Robert J. Sternberg and published by Routledge. This book was released on 2012-10-12 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.

Book Mathematical Learning and Cognition in Early Childhood

Download or read book Mathematical Learning and Cognition in Early Childhood written by Katherine M. Robinson and published by Springer. This book was released on 2019-05-07 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores mathematical learning and cognition in early childhood from interdisciplinary perspectives, including developmental psychology, neuroscience, cognitive psychology, and education. It examines how infants and young children develop numerical and mathematical skills, why some children struggle to acquire basic abilities, and how parents, caregivers, and early childhood educators can promote early mathematical development. The first section of the book focuses on infancy and toddlerhood with a particular emphasis on the home environment and how parents can foster early mathematical skills to prepare their children for formal schooling. The second section examines topics in preschool and kindergarten, such as the development of counting procedures and principles, the use of mathematics manipulatives in instruction, and the impacts of early intervention. The final part of the book focuses on particular instructional approaches in the elementary school years, such as different additive concepts, schema-based instruction, and methods of division. Chapters analyze the ways children learn to think about, work with, and master the language of mathematical concepts, as well as provide effective approaches to screening and intervention. Included among the topics: The relationship between early gender differences and future mathematical learning and participation. The connection between mathematical and computational thinking. Patterning abilities in young children. Supporting children with learning difficulties and intellectual disabilities. The effectiveness of tablets as elementary mathematics education tools. Mathematical Learning and Cognition in Early Childhood is an essential resource for researchers, graduate students, and professionals in infancy and early childhood development, child and school psychology, neuroscience, mathematics education, educational psychology, and social work.

Book The Development of Mathematical Skills

Download or read book The Development of Mathematical Skills written by Chris Donlan and published by Psychology Press. This book was released on 2022-01-27 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current research into the psychology of children's mathematics is extremely diverse. The present volume reflects this diversity; it is unique in its breadth, bringing together accounts of cutting-edge research from widely differing, sometimes opposing viewpoints. The reader with a grounding in developmental psychology but no knowledge of mathematical development will enjoy a wide ranging and challenging summary of current trends. Those already familiar with some of the work may take the opportunity to broaden their knowledge and to evaluate new methodologies and the insights they offer. The book is an invitation to explore a complex set of phenomena for which no unitary explanation can be offered. It aims to show that apparently disparate research perspectives may be complementary to each other; and to suggest that progress towards a comprehensive account of mathematical skills may require a broad-based understanding of research from more than one viewpoint.

Book Cognitive Foundations for Improving Mathematical Learning

Download or read book Cognitive Foundations for Improving Mathematical Learning written by David C. Geary and published by Academic Press. This book was released on 2019-01-08 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout.

Book Psychological Abilities of Primary School Children in Learning Mathematics

Download or read book Psychological Abilities of Primary School Children in Learning Mathematics written by Vasiliĭ Vasilʹevich Davydov and published by National Council of Teachers of English. This book was released on 1991 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Psychology and Mathematics Education

Download or read book Psychology and Mathematics Education written by Gila Hanna and published by Frontiers Media SA. This book was released on 2023-09-05 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).

Book The Design of Two Instruments to Reveal the Psychology of Mathematical Giftedness in Schoolchildren

Download or read book The Design of Two Instruments to Reveal the Psychology of Mathematical Giftedness in Schoolchildren written by Ka-On Tse and published by . This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "The Design of Two Instruments to Reveal the Psychology of Mathematical Giftedness in Schoolchildren: Their Mathematical Creativity and Attitude" by Ka-on, Tse, 謝家安, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled The Design of Two Instruments to Reveal the Psychology of Mathematical Giftedness in Schoolchildren --- their Mathematical Creativity and Attitude Submitted by TSE Ka On Andy for the degree of Doctor of Education at the University of Hong Kong in March, 2007 The present study aimed to design two instruments and then use them to reveal the psychology of mathematical giftedness in schoolchildren--- their mathematical creativity and attitude towards mathematics. Both quantitative and qualitative methods were used. In the first phase of the study, a mathematical creativity instrument (MCT) and an attitude-scale (AS) towards mathematics were designed using the psychometric approach. The MCT was composed of nine non-routine mathematical problems aimed to test three factors of mathematical creativity: the ability to discover patterns, the ability to apply symbols and rules, and the ability to express in formalized mathematical language. The MCT was piloted in a primary school with 209 primary five pupils. The reliability (Alpha) of the MCT was found to be 0.81, and the construct validity of the MCT with the three-factor structure was confirmed by a confirmatory factor analysis with AGFI = 0.99. The AS was composed of twenty-one items aimed to measure five factors of attitude: confidence, perceived value of mathematics, perceived teacher support, interest and commitment, and negative feelings towards mathematics. The AS was piloted with the same 209 pupils. Alpha of the AS was found to be 0.93, and the construct validity with the five-factor structure was confirmed with AGFI = 0.98. In the second phase of the study, the MCT and the AS were used in three groups of primary five pupils: the mathematically gifted group (MG), the average group (AV) and the underachievers'' group (U), as identified by other researchers (Phillipson & Tse, 2006) using the traditional criteria of IQ and mathematics achievement test scores. Group sizes for the three groups were 51, 57 and 9 respectively. It was found that MG performed significantly i better than both U and AV in all the three factors of mathematical abilities. MG also showed significantly better attitudes than AV in ''confidence'', ''value'', ''interest'' and ''negative feelings'', and significantly better attitudes than U in ''interest''. In the third phase of the study, five pupils from MG and three pupils from AV were interviewed. Their think-aloud protocols in answering questions from the MCT were studied to reveal their differences in problem solving strategies. It was found that the mathematically gifted pupils tended to spend more time to decode a problem, looking for relationships among information. They had better grasp of basic mathematical knowledge and made good use of it. They made suitable analogical transfers. They looked for more efficient methods of solution and strived for answers that are simple and general. If necessary, they used systematic guesses, and constantly checked for the correctness of their answers. Similarly the five pupils from MG and two pupils from U were interviewed to reveal their differences in attitude towards mathematics. It was found that the mathematically gifted pupils had greater interest and commitment than the underachievers. The underachievers tended to dislike tedious routine calculations and prefer

Book Language and Culture in Mathematical Cognition

Download or read book Language and Culture in Mathematical Cognition written by Daniel B. Berch and published by Academic Press. This book was released on 2018-07-27 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language and Culture in Mathematical Cognition, First Edition focuses on the role of linguistic and cultural factors in math cognition and development. It covers a wide range of topics, including analogical mapping in numerical development, arithmetic fact retrieval in the bilingual brain, cross-cultural comparisons of mathematics achievement, the shaping of numerical processing by number word construction, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. - Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments - Synthesizes research from various subdomains of math cognition research - Covers the full complement of research in mathematical thinking and learning - Informs researchers, scholars, educators, students and policymakers

Book The Pshychology of Mathematical Abilities in Schoolchildren

Download or read book The Pshychology of Mathematical Abilities in Schoolchildren written by V.A. Krutetskii and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Research On and Activities For Mathematically Gifted Students

Download or read book Research On and Activities For Mathematically Gifted Students written by Florence Mihaela Singer and published by Springer. This book was released on 2016-06-13 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access Topical Survey offers a brief overview of the current state of research on and activities for mathematically gifted students around the world. This is of interest to a broad readership, including educational researchers, research mathematicians, mathematics teachers, teacher educators, curriculum designers, doctoral students, and other stakeholders. It first discusses research concerning the nature of mathematical giftedness, including theoretical frameworks and methodologies that are helpful in identifying and/or creating mathematically gifted students, which is described in this section. It also focuses on research on and the development of mathematical talent and innovation in students, including connections between cognitive, social and affective aspects of mathematically gifted students. Exemplary teaching and learning practices, curricula and a variety of programs that contribute to the development of mathematical talent, gifts, and passion are described as well as the pedagogy and mathematics content suitable for educating pre-service and in-service teachers of mathematically gifted students. The final section provides a brief summary of the paper along with suggestions for the research, activities, and resources that should be available to support mathematically gifted students and their teachers, parents, and other stakeholders.

Book Creativity  Giftedness  and Talent Development in Mathematics

Download or read book Creativity Giftedness and Talent Development in Mathematics written by Bharath Sriraman and published by IAP. This book was released on 2008-09-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our innovative spirit and creativity lies beneath the comforts and security of today's technologically evolved society. Scientists, inventors, investors, artists and leaders play a vital role in the advancement and transmission of knowledge. Mathematics, in particular, plays a central role in numerous professions and has historically served as the gatekeeper to numerous other areas of study, particularly the hard sciences, engineering and business. Mathematics is also a major component in standardized tests in the U.S., and in university entrance exams in numerous parts of world. Creativity and imagination is often evident when young children begin to develop numeric and spatial concepts, and explore mathematical tasks that capture their interest. Creativity is also an essential ingredient in the work of professional mathematicians. Yet, the bulk of mathematical thinking encouraged in the institutionalized setting of schools is focused on rote learning, memorization, and the mastery of numerous skills to solve specific problems prescribed by the curricula or aimed at standardized testing. Given the lack of research based perspectives on talent development in mathematics education, this monograph is specifically focused on contributions towards the constructs of creativity and giftedness in mathematics. This monograph presents new perspectives for talent development in the mathematics classroom and gives insights into the psychology of creativity and giftedness. The book is aimed at classroom teachers, coordinators of gifted programs, math contest coaches, graduate students and researchers interested in creativity, giftedness, and talent development in mathematics.

Book Mathematics and Cognition

Download or read book Mathematics and Cognition written by Pearla Nesher and published by CUP Archive. This book was released on 1990-02-23 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.

Book Teaching and Learning Mathematics

Download or read book Teaching and Learning Mathematics written by Peter G. Dean and published by Routledge. This book was released on 2019-01-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: School mathematics is a complex subject and an ever-changing topic, but this book will help teachers, parents and employers to understand it better.