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Introduction | |
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Workshop Overview: Knowing and Learning Mathematics for Teaching | |
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Pre-Workshop Tasks | |
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Teacher's Understanding of Fundamental Mathematics | |
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Knowledge of Fundamental Mathematics for Teaching | |
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Elementary Teachers and Essential Mathematical Knowledge | |
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What Is Fundamental Mathematics? | |
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Reconsidering the Mathematics That Teachers Need to Know | |
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Investigating Teaching Practice: Setting the Stage | |
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What Mathematical Knowledge Is Entailed in Teaching Children to Reason Mathematically? | |
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Reaction to the Presentation by Deborah Ball and Hyman Bass | |
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Investigating Teaching Practice: What Mathematical Knowledge, Skills, and Sensibilities Does It Take? | |
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Analyzing Student Thinking | |
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Remodeling Mathematical Tasks | |
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Analyzing Student Work | |
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Managing Class Discussion | |
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What Kinds of Mathematical Knowledge Matter in Teaching? | |
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Perspectives from a Mathematician | |
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Perspectives from a Mathematics Educator | |
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Perspectives from the Community College | |
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How Can Teachers Develop Such Mathematical Knowledge? | |
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Investigating Alternative Approaches to Helping Teachers Learn Mathematics | |
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Student Curriculum Materials: Japanese Teachers' Manuals | |
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Student Curriculum Materials: Investigations in Number, Data, and Space | |
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Case Materials | |
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Programs and Practices | |
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Video as a Delivery Mechanism | |
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Promising Approaches for Helping Prospective Elementary Teachers Learn Mathematics for Teaching | |
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Looking at Textbooks | |
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The Professional Growth of a Classroom Teacher | |
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The Importance of Mathematical Content | |
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NSF and Teacher Preparation Programs | |
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Where Are We? Moderator's Summary | |
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Concluding Remarks: Deborah Loewenberg Ball | |
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Discussion Group Reports | |
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Discussion Group #1 | |
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Discussion Group #10 | |
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Discussion Group #2 | |
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Discussion Group #9 | |
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Discussion Group #3 | |
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Discussion Group #8 | |
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Discussion Group #4 | |
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Discussion Group #7 | |
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Discussion Group #5 | |
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Discussion Group #6 | |
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Appendices | |
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Pre-Workshop Reading | |
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Workshop Agenda | |
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Homework Problems | |
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Workshop Participant List | |
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Transcript of Ball Videos | |
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Explanation of the Unit on Weight | |
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Excerpts from Investigations | |
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Mathematics Case Methods Project | |
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Biographical Information | |