Teaching Mathematics Foundations to Middle Years

Lists of tables, figures, Abbreviations and Acronyms
Glossary
Preface
Guided Tour
Introduction
Part 1: Thinking Critically about School Mathematics
1. School Mathematics: what is it, where has it come from?
2. Learning Mathematics: what do we know?
3. Teaching Mathematics; what does this mean?
Part 2: Understanding the Challenges and Opportunities
4. Problem-solving: interpreting and applying mathematics
5. Communication, making connections in mathematics
6. Materials, models, representations & recording
7. Assessing and reporting
8. Planning for Diversity
Part 3: Exploring the Big Ideas in Mathematics
9. Numeracy in the School Curriculum
10. Number and pattern sense
11. A Sense of measurement and geometry
12. Understanding statistics and probability
Part 4: Developing the knowledge needed to teach mathematics: Laying the foundation in the early years (K-4)
13. Pattern and Structure
14. Developing early number ideas and strategies
15. Introducing place value
16. Developing Additive Thinking
17. Introducing multiplicative thinking
18. Introducing fractions
19. Developing measurement concepts and strategies
20. Developing geometric thinking and concepts
21. Early chance and data
Part 5: Developing the knowledge needed to teach mathematics: extending the foundation to the middle years (5-9)
22. Extending number and numeration
23. Extending fraction knowledge and confidence
24. Extending operations
25. Algebraic thinking, pattern and colour
26. Consolidating measurement concepts
27. Consolidating geometric thinking and concepts
28. Interpreting data, statistics and probability
Part 6: And now it's your turn
29. Building on what is known: becoming a professional teacher
Appendices: various charts and tables
Bibliography
Index