ABSTRACT

The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.

chapter 1|5 pages

Introduction

chapter 2|23 pages

Nonsymbolic Number

chapter 3|22 pages

Symbolic Number

chapter 4|22 pages

The Development of Arithmetic Skills

chapter 5|20 pages

Understanding Arithmetic Concepts

chapter 7|18 pages

Number Systems

chapter 8|16 pages

Algebra and Equivalence

chapter 9|13 pages

Mathematical Argumentation and Proof

chapter 10|15 pages

Logic, Conditional Reasoning and Mathematics

chapter 11|13 pages

Where Next For Mathematical Cognition?