Guide teachers to help all PreK-8 learners make sense of mathematics Elementary and Middle School Mathematics: Teaching Developmentally illustrates how children learn mathematics, and then shows pre-service teachers the most effective methods of teaching PreK-8 math through hands-on, problem-based activities. As teacher candidates engage with the activities, they boost their own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in their classrooms. Examples of real student work and new common challenges and misconception tables allow readers to visualise good mathematics instruction and assessment that supports and challenges all learners. An important reference to consult throughout a teaching career, this book reflects the Common Core State Standards and NCTM's Principles to Actions, as well as current research and coverage of the latest teaching technology.
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Inhalt
- 1. Teaching Mathematics in the 21st Century
- 2. Exploring What It Means to Know and Do Mathematics
- 3. Teaching through Problem Solving
- 4. Planning in the Problem-Based Classroom
- 5. Creating Assessments for Learning
- 6. Teaching Mathematics Equitably to All Students
- 7. Developing Early Number Concepts and Number Sense
- 8. Developing Meanings for the Operations
- 9. Developing Basic 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. Algebraic Thinking, Equations, and Functions
- 14. Developing Fraction Concepts
- 15. Developing Fraction Operations
- 16. Developing Decimal and Percent Concepts and Decimal Computation
- 17. Ratios, Proportions, and Proportional Reasoning
- 18. Developing Measurement Concepts
- 19. Geometric Thinking and Geometric Concepts
- 20. Developing Concepts of Data Analysis
- 21. Exploring Concepts 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