There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions:




What is the mathematical knowledge teachers need to know in order to teach well?
How can teachers develop the mathematical knowledge they need to teach well?


The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.


Table of Contents


Front Matter
Introduction
Workshop Overview: Knowing and Learning Mathematics for Teaching
Pre-Workshop Tasks
Teachers' Understanding of Fundamental Mathematics
Reconsidering the Mathematics That Teachers Need to Know
Investigating Teaching Practice: Setting the Stage
Investigating Teaching Practice: What Mathematical Knowledge,
Skills, and Sensibilities Does It Take?
What Kinds of Mathematical Knowledge Matter in Teaching?
How Can Teachers Develop Such Mathematical Knowledge?
Investigating Alternative Approaches to Helping Teachers Learn
Mathematics
Promising Approaches for Helping Prospective Elementary Teachers
Learn Mathematics for Teaching
Concluding Remarks
Discussion Group Reports
Question #1
Question #2
Question #3
Question #4
Question #5
Appendix A: Pre-Workshop Reading
Appendix B: Workshop Agenda
Appendix C: Homework Problems
Appendix D: Workshop Participant List
Appendix E: Transcript of Ball Videos
Appendix F: Explanation of the Unit on Weight
Appendix G: Excerpts from Investigations
Appendix H: Mathematics Case Methods Project
Appendix I: Biographical Information