1. Prologue.
2. Problem Solving, Reasoning, and Communicating.
3. What the NCTM Curriculum Standards Say.
4. Mathematics as Problem Solving.
5. The Case of the Loosely Used Term.
6. A Case of Stunted Growth.
7. The Problem Solving Process.
8. Problem Solving Instruction.
9. Mathematics as Reasoning.
10. Reasons for Focusing on Reasoning.
11. Children's Natural Strengths and Weaknesses.
12. Reasoning Instruction.
13. Mathematics as Communication.
14. Reasons for Focusing on Communication.
15. Building a Mathematical Community.
16. Fostering All Aspects of Communicating.
17. For Further Explanation.
18. Some Instructional Resources.
19. Sample of Children's Literature.
20. Tips on Using Technology.
21. Questions to Consider.
22. Things to Do.
23. Questions to Check Understanding.
Problems.
Answers to Selected Questions.
Source Notes.
References.