Beschreibung:
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.
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?