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Foreword | |
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Acknowledgments | |
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Introduction | |
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The Mathematical Tasks Framework | |
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Analyzing Mathematics Instructional Tasks | |
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Defining Levels of Cognitive Demand of Mathematical Tasks | |
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Matching Tasks with Goals for Student Learning | |
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Differentiating Levels of Cognitive Demand | |
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Gaining Experience in Analyzing Cognitive Demands | |
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Moving Beyond Task Selection and Creation | |
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Using Cognitively Complex Tasks in the Classroom | |
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The Evolution of Tasks During a Lesson | |
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Patterns of Task Setup and Implementation | |
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Learning from Cases | |
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Theoretical Considerations | |
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Moving on to Considerations of One's Own Practice | |
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Advantages to Guided Reflection | |
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The Cases | |
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Introduction to the Cases | |
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The Cases and Supporting Materials | |
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How to Orchestrate Teacher Learning from the Cases | |
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Linking Fractions, Decimals, and Percents Using an Area Model | |
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The Case of Ron Castleman | |
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Discussion Questions | |
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Teaching Notes | |
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Possible Solution Strategies | |
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Multiplying Fractions with Pattern Blocks | |
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The Case of Fran Gorman and Kevin Cooper | |
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Discussion Questions | |
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Teaching Notes | |
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Giving Meaning to Measures of Central Tendency | |
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The Case of Trina Naruda and Ursula Hernandez | |
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Discussion Questions | |
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Teaching Notes | |
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Using Algebra Tiles to Multiply Monomials and Binomials | |
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The Case of Monique Butler | |
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Discussion Questions | |
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Teaching Notes | |
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Organizing Data | |
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The Case of Nicole Clark | |
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Discussion Questions | |
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Teaching Notes | |
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Solving Problems | |
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The Case of Jerome Robinson | |
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Discussion Questions | |
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Teaching Notes | |
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Possible Solution Strategies | |
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Using The Cases | |
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Assisting the Learning of Teachers | |
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Transformative Professional Development | |
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Key Professional Activities Related To Mathematical Tasks | |
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Conclusion | |
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Assisting the Learning and Professional Practice of Principals | |
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Conducting Observations and Arranging for Tailored Professional Development | |
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Providing Schoolwide Resources for Ongoing Teacher Development | |
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Conclusion | |
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References | |
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Index | |
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About the Authors | |