An Introduction to Mathematical Cognition

ISBN-13: 9781138923959 / Angielski / Miękka / 2018 / 264 str.

Camilla Gilmore; Silke Gobel; Matthew Inglis

Opis

The last decade has seen a rapid growth in our understanding of mathematical learning and performance and an increased recognition of the importance of the topic. The book traces the development of mathematical skills from basic number concepts to mathematical proofs, emphasising the hierarchical nature of mathematical development from early childhood to research-level mathematics. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter begins with a classic problem used to investigate mathematical cognition, to give a concrete example of the issues addressed. The book will provide an essential introduction to the fragmented field of Mathematical Cognition.

Spis treści

1. Introduction 2. Nonsymbolic number 3. Symbolic number 4. The development of arithmetic skills 5. Understanding arithmetic concepts 6. Individual differences and mathematical difficulties 7. Number systems 8. Algebra and equivalence 9. Mathematical argumentation and proof 10. Logic, conditional reasoning and mathematics 11. Where next for mathematical cognition?