Mathematical and Analogical Reasoning of Young Learners

Mathematical and Analogical Reasoning of Young Learners
Author: Lyn D. English
Publisher: Routledge
Total Pages: 237
Release: 2004-07-19
Genre: Education
ISBN: 1135638705

This book draws upon studies of the development of young children's mathematical and analogical reasoning in the United States and Australia to address a number of significant issues in the mathematical development of young children.

Engaging Young Children in Mathematics

Engaging Young Children in Mathematics
Author: Douglas H. Clements
Publisher: Routledge
Total Pages: 474
Release: 2004
Genre: Education
ISBN: 0805842101

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

The SAGE Encyclopedia of Lifespan Human Development

The SAGE Encyclopedia of Lifespan Human Development
Author: Marc H. Bornstein
Publisher: SAGE Publications
Total Pages: 2616
Release: 2018-01-15
Genre: Psychology
ISBN: 1506353312

Lifespan human development is the study of all aspects of biological, physical, cognitive, socioemotional, and contextual development from conception to the end of life. In approximately 800 signed articles by experts from a wide diversity of fields, The SAGE Encyclopedia of Lifespan Human Development explores all individual and situational factors related to human development across the lifespan. Some of the broad thematic areas will include: Adolescence and Emerging Adulthood Aging Behavioral and Developmental Disorders Cognitive Development Community and Culture Early and Middle Childhood Education through the Lifespan Genetics and Biology Gender and Sexuality Life Events Mental Health through the Lifespan Research Methods in Lifespan Development Speech and Language Across the Lifespan Theories and Models of Development. This five-volume encyclopedia promises to be an authoritative, discipline-defining work for students and researchers seeking to become familiar with various approaches, theories, and empirical findings about human development broadly construed, as well as past and current research.

Mathematical Reasoning of Children and Adults

Mathematical Reasoning of Children and Adults
Author: Alina Galvão Spinillo
Publisher: Springer Nature
Total Pages: 324
Release: 2021-05-24
Genre: Education
ISBN: 303069657X

This book adopts an interdisciplinary approach to investigate the development of mathematical reasoning in both children and adults and to show how understanding the learner’s cognitive processes can help teachers develop better strategies to teach mathematics. This contributed volume departs from the interdisciplinary field of psychology of mathematics education and brings together contributions by researchers from different fields and disciplines, such as cognitive psychology, neuroscience and mathematics education. The chapters are presented in the light of the three instances that permeate the entire book: the learner, the teacher, and the teaching and learning process. Some of the chapters analyse the didactic challenges that teachers face in the classroom, such as how to interpret students' reasoning, the use of digital technologies, and their knowledge about mathematics. Other chapters examine students' opinions about mathematics, and others analyse the ways in which students solve situations that involve basic and complex mathematical concepts. The approaches adopted in the description and interpretation of the data obtained in the studies documented in this book point out the limits, the development, and the possibilities of students' thinking, and present didactic and cognitive perspectives to the learning scenarios in different school settings. Mathematical Reasoning of Children and Adults: Teaching and Learning from an Interdisciplinary Perspective will be a valuable resource for both mathematics teachers and researchers studying the development of mathematical reasoning in different fields, such as mathematics education, educational psychology, cognitive psychology, and developmental psychology.

Mathematics Education in the Early Years

Mathematics Education in the Early Years
Author: Tamsin Meaney
Publisher: Springer
Total Pages: 443
Release: 2016-01-22
Genre: Education
ISBN: 331923935X

This book presents chapters based on papers presented at the second POEM conference on early mathematics learning. These chapters broaden the discussion about mathematics education in early childhood, by exploring the debate about construction versus instruction. Specific sections investigate the teaching and learning of mathematical processes and mathematical content, early childhood teacher development, transitions for young children between home and preschool, between home and school and between preschool and school. The chapters use a range of innovative theoretical and methodological approaches which will form an interesting basis for future research in this area.

Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning
Author: David C. Geary
Publisher: Academic Press
Total Pages: 380
Release: 2019-01-03
Genre: Psychology
ISBN: 0128159537

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. 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

Mathematical Learning and Cognition in Early Childhood

Mathematical Learning and Cognition in Early Childhood
Author: Katherine M. Robinson
Publisher: Springer
Total Pages: 273
Release: 2019-05-07
Genre: Psychology
ISBN: 3030128954

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.

Handbook of Research on the Psychology of Mathematics Education

Handbook of Research on the Psychology of Mathematics Education
Author:
Publisher: BRILL
Total Pages: 533
Release: 2006-01-01
Genre: Education
ISBN: 9087901127

This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for Mathematics Education research in the coming years.

International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives

International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives
Author: Patricia S. Moyer-Packenham
Publisher: Springer
Total Pages: 344
Release: 2016-06-21
Genre: Education
ISBN: 3319327186

This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.