Contents
SECTION I:TEACHING MATHEMATICS: FOUNDATIONS AND PERSPECTIVES
1. TeachingMathematics in the 21st Century
2. ExploringWhat It Means to Know and Do Mathematics
3. Teachingthrough Problem Solving
4. Planningin the Problem-Based Classroom
5. CreatingAssessments for Learning
6. Teaching MathematicsEquitably to All Students
SECTION II:DEVELOPMENT OF MATHEMATICAL CONCEPTS AND PROCEDURES
7. DevelopingEarly Number Concepts and Number Sense
8. DevelopingMeanings for the Operations
9. DevelopingBasic Fact Fluency
10.Developing Whole-Number Place-Value Concepts
11.Developing Strategies for Addition and Subtraction Computation
12.Developing Strategies for Multiplication and Division Computation
13. AlgebraicThinking, Equations, and Functions
14.Developing Fraction Concepts
15. DevelopingFraction Operations
16.Developing Decimal and Percent Concepts and Decimal Computation
17. Ratios,Proportions, and Proportional Reasoning
18.Developing Measurement Concepts
19. GeometricThinking and Geometric Concepts
20.Developing Concepts of Data Analysis
21. ExploringConcepts of Probability
22.Developing Concepts of Exponents, Integers, and Real Numbers
Appendix A.Standards for Mathematical Practice A-1
Appendix B.NCTM Mathematics Teaching Practices: from Principles to Actions A-5
Appendix C.Guide to Blackline Masters A-7
Appendix D.Activities at a Glance A-13
