Mathematical Teaching and Learning

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 onthe 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’.

• Chapter 1. An introduction to mathematical teaching and learning in the elementary and middle school years.- Part I: PEDOGICAL APPROACHES TO TEACHING.- Chapter 2. Instructional Supports for Mathematical Problem Solving and Learning: Visual Representations.- Chapter 3. Equilibrated Development Approach to Word Problem Solving in Elementary Grades: Fostering Relational Thinking.- Chapter 4. Experiences of Tension in Teaching Mathematics for Social Justice.- Chapter 5. Designing Inclusive Educational Activities in Mathematics: The Case of Algebraic Proof.- Chapter 6. A Sustained Board Level Approach to Elementary School Teacher Mathematics Development.- 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.- Chapter 8. How Number Talks Assist Students in Becoming Doers of Mathematics.- Chapter 9. Language Matters: Mathematical Learning and Cognition in Bilingual Children.- Chapter 10. Mathematical Creativity of Learning in 5th Grade Students.- Chapter 11. Symbolic Mathematics Language Literacy: A Framework and Evidence from a Mixed Methods Analysis.- Chapter 12. Grasping Patterns of Algebraic Understanding: Dynamic Technology Facilitates Learning, Research, and Teaching in Mathematics Education.- Index.