Intellectual Development And Mathematics Learning
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Intellectual Development And Mathematics Learning
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Author : Chongde Lin
language : en
Publisher: Springer Nature
Release Date : 2023-03-30
Intellectual Development And Mathematics Learning written by Chongde Lin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-30 with Education categories.
This book introduces the outcomes of author’s 40 years of research, especially the theory of “the Triangular Pyramid Structure of Thinking” that he independently proposed, and the application of his development theory in the field of mathematics education. The book firstly explains the substantial character of intelligence, the development law of intelligence, and the relationship between intelligence development and creativity cultivation. Secondly, it discusses the structure of mathematical thinking of children and adolescents from 0 to 18 years old, and the methods of developing students’ thinking ability and the quality of intelligence through arithmetic learning. In the end, this book also demonstrates the characteristics of the development of mathematical thinking ability of children at age 0-6, elementary school students, and secondary school students, and the related latest research in this field. Based on the theory of “the Triangular Pyramid Structure of Thinking”, a number of examples are given to illustrate how the theory of intelligence development can be used in mathematics teaching to promote the development of students’ thinking abilities and to improve the quality of teaching. This book covers various areas including psychology, mathematics, and education. It has a great reference value for scholars in the field of psychology to study the theory of intelligence and the structure of thinking, providing guidance for parents and mathematics teachers to promote children’s quality of intelligence and mathematical thinking abilities, and to enhance their mathematics learning effects. In addition, it provides examples for psychological research to serve specific subject teaching in elementary and secondary schools.
Cognitive Foundations For Improving Mathematical Learning
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Author : David C. Geary
language : en
Publisher: Academic Press
Release Date : 2019-01-30
Cognitive Foundations For Improving Mathematical Learning written by David C. Geary and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Psychology categories.
Cognitive Foundations for Improving Mathematical Learning, Volume 5, the latest release 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. Chapters cover the use of numerical play and games for improving foundational number knowledge, 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. In addition, the book examines 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 more. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties
Cognitive Development Mathematics Learning
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Author : Kevin Francis Collis
language : en
Publisher:
Release Date : 1974
Cognitive Development Mathematics Learning written by Kevin Francis Collis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
The Origins Of Mathematical Knowledge In Childhood
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Author : Catherine Sophian
language : en
Publisher: Routledge
Release Date : 2017-09-25
The Origins Of Mathematical Knowledge In Childhood written by Catherine Sophian and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Education categories.
This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.
Mathematics In The Early Years
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Author : Juanita V. Copley
language : en
Publisher:
Release Date : 1999
Mathematics In The Early Years written by Juanita V. Copley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Education categories.
Noting that young children are capable of surprisingly complex forms of mathematical thinking and learning, this book presents a collection of articles depicting children discovering mathematical ideas, teachers fostering students' informal mathematical knowledge, adults asking questions and listening to answers, and researchers examining children's mathematical thinking. The chapters are: (1) "Why Do We Teach Young Children So Little Mathematics? Some Historical Considerations" (Balfanz); (2) "Children's Ways of Knowing: Lessons from Cognitive Development Research" (Sophian); (3) "The Sociology of Day Care" (McDill and Natriello); (4) "Cultural Aspects of Young Children's Mathematics Knowledge" (Guberman); (5) "Ready To Learn: Developing Young Children's Mathematical Powers" (Greenes); (6) "The Development of Informal Counting, Number, and Arithmetic Skills and Concepts" (Baroody and Wilkins); (7) "Geometric and Spatial Thinking in Young Children" (Clements); (8) "Rational-Number Learning in the Early Years: What Is Possible?" (Hunting); (9) "Young Children Doing Mathematics: Observations of Everyday Activities" (Ginsburg, Inoue, and Seo); (10) "Cognitively Guided Instruction in One Kindergarten Classroom" (Warfield and Yttri); (11) "Supporting Students' Ways of Reasoning about Patterns and Partitions" (McClain and Cobb); (12) "The Effective Use of Computers with Young Children" (Clements); (13) "Making Connections: A 'Number Curriculum' for Preschoolers" (Shane); (14) "Within Easy Reach: Using a Shelf-Based Curriculum To Increase the Range of Mathematical Concepts Accessible to Young Children" (Nelson); (15) "Teaching Mathematics through Musical Activities" (Kim); (16) "The Boston University--Chelsea Project" (Greenes); (17) "The Outdoors as a Context for Mathematics in the Early Years" (Basile); (18) "Using Storybooks To Help Young Children Make Sense of Mathematics" (Hong); (19) "Movement, Mathematics, and Learning: Experiences Using a Family Learning Model" (Coates and Franco); (20) "Math in Motion" (Goodway, Rudisill, Hamilton, and Hart); (21) "Assessing the Mathematical Understanding of the Young Child" (Copley); (22) "Improving Opportunities and Access to Mathematics Learning in the Early Years" (Padron); (23) "What To Do When They Don't Speak English: Teaching Mathematics to English-Language Learners in the Early Childhood Classroom" (Weaver and Gaines); (24) "Involving Parents of Four- and Five-Year-Olds in Their Children's Mathematics Education: The FAMILY MATH Experience" (Coates and Thompson); (25) "Perspectives on Mathematics Education and Professional Development through the Eyes of Early Childhood Administrators" (Weber); and (26) "Early Childhood Mathematics in Japan" (Hatano and Inagaki). (Each chapter contains references.) (KB)
Development Of Mathematical Cognition
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Author : Daniel B. Berch
language : en
Publisher: Academic Press
Release Date : 2015-10-03
Development Of Mathematical Cognition written by Daniel B. Berch and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-03 with Psychology categories.
Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition Addresses recent work in quantitative and molecular genetics Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning Informs policy to help increase the level of mathematical proficiency among the general public
Mathematical Learning And Cognition In Early Childhood
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Author : Katherine M. Robinson
language : en
Publisher: Springer
Release Date : 2019-05-07
Mathematical Learning And Cognition In Early Childhood written by Katherine M. Robinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Psychology categories.
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.
Culture And Cognitive Development
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Author : Geoffrey B. Saxe
language : en
Publisher: Psychology Press
Release Date : 2015-01-28
Culture And Cognitive Development written by Geoffrey B. Saxe and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-28 with Psychology categories.
Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education
Neuroscience Of Mathematical Cognitive Development
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Author : Rhonda Douglas Brown
language : en
Publisher: Springer
Release Date : 2018-04-13
Neuroscience Of Mathematical Cognitive Development written by Rhonda Douglas Brown and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-13 with Psychology categories.
This book examines the neuroscience of mathematical cognitive development from infancy into emerging adulthood, addressing both biological and environmental influences on brain development and plasticity. It begins by presenting major theoretical frameworks for designing and interpreting neuroscience studies of mathematical cognitive development, including developmental evolutionary theory, developmental systems approaches, and the triple-code model of numerical processing. The book includes chapters that discuss findings from studies using neuroscience research methods to examine numerical and visuospatial cognition, calculation, and mathematical difficulties and exceptionalities. It concludes with a review of mathematical intervention programs and recommendations for future neuroscience research on mathematical cognitive development. Featured neuroscience research methods include: Functional Magnetic Resonance Imaging (fMRI). Diffusion Tensor Imaging (DTI). Event Related Potentials (ERP). Transcranial Magnetic Stimulation (TMS). Neuroscience of Mathematical Cognitive Development is an essential resource for researchers, clinicians and related professionals, and graduate students in child and school psychology, neuroscience, educational psychology, neuropsychology, and mathematics education.
Children S Numbers
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Author : Catherine Sophian
language : en
Publisher: Routledge
Release Date : 2019-03-11
Children S Numbers written by Catherine Sophian and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-11 with Psychology categories.
Synthesizing research on numerical development, the book explores the implications for instruction, drawing upon the ideas of Piaget, Vygotsky, and several contemporary cognitive-developmental theorists. The text is intended for use in undergraduate and graduate-level courses in developmental psychology and education. Children’s developing underst