Mathematical Thinking and Learning: Perspectives on Mathematical Minds in the Elementary and Middle School Years

ISBN-13: 9783031318474 / Angielski

Katherine M. Robinson; Donna Kotsopoulos; Adam K. Dubé

Opis

This book focuses on teaching and learning in elementary and middle school mathematics and how teachers’ practices in helping their children learn to be successful mathematical thinkers are varied and can be enhanced by considering contributions from diverse theoretical and disciplinary perspectives. Topics include the roles of technology, language, and classroom discussion in mathematics learning, the use of creativity, visuals, and teachers’ physical gestures to enhance problem solving, inclusive educational activities to promote children’s mathematics understanding, how learning in the home can enhance children’s mathematical skills, the application of mathematics learning theories in designing effective teaching tools, and a discussion of how students, teachers, teacher educators, and school boards differentially approach elementary and middle school mathematics. This book and its companion, Mathematical Cognition and Understanding, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.

Spis treści

List of Contributors

List of Abbreviations

Chapter 1. An introduction to mathematical teaching and learning in the elementary and middle school years (Donna Kotsopoulos, Adam K. Dubé & Katherine M. Robinson)

Part I: PEDOGICAL APPROACHES TO TEACHING

Chapter 2. Instructional Supports for Mathematical Problem Solving and Learning: Visual Representations (Martha W. Alibali, Anna N. Bartel, & Amelia Yeo)

Chapter 3. Equilibrated Development Approach to Word Problem Solving in Elementary Grades: Fostering Relational Thinking (Elena Polotskaia, Annie Savard, Olga Fellus, and Viktor Freiman)

Chapter 4. Experiences of Tension in Teaching Mathematics for Social Justice (Ann LeSage & Ami Mamolo)

Chapter 5. Designing Inclusive Educational Activities in Mathematics: The Case of Algebraic Proof (Francesca Morselli & Elisabetta Robotti)

Chapter 6. A Sustained Board Level Approach to Elementary School Teacher Mathematics Development (Brandon Allan Dickson, Donna Kotsopoulos, & Carolyn Mussio)

Part II: MATHEMATICAL LEARNING

Chapter 7. A Digital Home Numeracy Practice (DHNP) Model to Understand the Digital Factors Affecting Middle School Children’s Mathematics Practice (Sabrina Shajeen Alam & Adam K. Dubé)

Chapter 8. How Number Talks Assist Students in Becoming Doers of Mathematics (Dawn M. Woods)

Chapter 9. Language Matters: Mathematical Learning and Cognition in Bilingual Children (Mona Anchan & Firat Soylu)

Chapter 10. Mathematical Creativity of Learning in 5th Grade Students (Cleyton Hércules Gontijo & Mateus Gianni Fonseca)

Chapter 11. Symbolic Mathematics Language Literacy: A Framework and Evidence from a Mixed Methods Analysis (Marcia Gail Headley, Vicki L. Plano Clar, Sarah M. Stitzlein, Rhonda Douglas Brown & Christopher M. Swoboda)

Chapter 12. Grasping Patterns of Algebraic Understanding: Dynamic Technology Facilitates Learning, Research, and Teaching in Mathematics Education (Jenny Yun-Chen Chan, Avery Harrison Closser, Hannah Smith, Ji-Eun Lee, Kathryn C. Drzewiecki & Erin Ottmar)

Index

O autorze

Katherine Robinson is a professor in the Department of Psychology at Campion College at the University of Regina, Saskatchewan, Canada. Her research interests focus on cognitive development with special emphases on the development of conceptual and strategic understanding in arithmetic in both children and adults. She is a member of The Campion College Mathematical Cognition Centre (mc²).

Donna Kotsopoulos is the Dean and a professor in the Faculty of Education, at Western University, Ontario, Canada. Her research focuses on mathematical cognition and learning across the lifespan. Her research has resulted in social innovation with the LittleCounters® program – a community and early child care centre play-based early numeracy program.

Adam Dubé is an Associate Professor of Learning Sciences in the Faculty of Education, at McGill University, Quebec, Canada. His research focuses on the use of educational technology and games with emphases on how these technologies affect mathematical cognition. He is an AERA-SRCD Early Career Fellow in middle childhood education and development and his work has informed the UNESCO-MGIEP ‘Industry Guidelines on Digital Learning’.

 

Blurb

This book focusses on teaching and learning in elementary and middle school mathematics and suggests practices for teachers to help children be successful mathematical thinkers. Contributions from diverse theoretical and disciplinary perspectives are explored. Topics include the roles of technology, language, and classroom discussion in mathematics learning, the use of creativity, visuals, and teachers’ physical gestures to enhance problem solving, inclusive educational activities to promote children’s mathematics understanding, how learning in the home can enhance children’s mathematical skills, the application of mathematics learning theories in designing effective teaching tools, and a discussion of how students, teachers, teacher educators, and school boards differentially approach elementary and middle school mathematics.

This book and its companion, Mathematical Cognition and Understanding, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.