Knowing and Learning Mathematics for Teaching

Mathematics Teacher Preparation Content Workshop Program Steering Committee, Center for Education, National Research Council

• 1 Front Matter; 2 Introduction; 3 Workshop Overview: Knowing and Learning Mathematics for Teaching; 4 Pre-Workshop Tasks; 5 Teachers' Understanding of Fundamental Mathematics; 6 Reconsidering the Mathematics That Teachers Need to Know; 7 Investigating Teaching Practice: Setting the Stage; 8 Investigating Teaching Practice: What Mathematical Knowledge, Skills, and Sensibilities Does It Take?; 9 What Kinds of Mathematical Knowledge Matter in Teaching?; 10 How Can Teachers Develop Such Mathematical Knowledge?; 11 Investigating Alternative Approaches to Helping Teachers Learn Mathematics; 12 Promising Approaches for Helping Prospective Elementary Teachers Learn Mathematics for Teaching; 13 Concluding Remarks; 14 Discussion Group Reports; 15 Question #1; 16 Question #2; 17 Question #3; 18 Question #4; 19 Question #5; 20 Appendix A: Pre-Workshop Reading; 21 Appendix B: Workshop Agenda; 22 Appendix C: Homework Problems; 23 Appendix D: Workshop Participant List; 24 Appendix E: Transcript of Ball Videos; 25 Appendix F: Explanation of the Unit on Weight; 26 Appendix G: Excerpts from Investigations; 27 Appendix H: Mathematics Case Methods Project; 28 Appendix I: Biographical Information