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Foreword | |
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Preface | |
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Acknowledgments | |
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About the Authors | |
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Mathematics Assessment Probes | |
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Introduction | |
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What Types of Understandings and Misunderstandings Does a Mathematics Assessment Probe Uncover? | |
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How Were the Mathematics Assessment Probes Developed? | |
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What Is the Structure of a Mathematics Assessment Probe? | |
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What Additional Information Is Provided With Each Mathematics Assessment Probe? | |
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What Mathematics Assessment Probes Are Included in the Book? | |
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Instructional Implications | |
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Differentiating Instruction | |
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Assessing Points of Entry | |
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Analyzing Trends in Student Thinking | |
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Giving Student Interviews | |
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Promoting Student-to-Student Dialogue | |
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Developing Vocabulary | |
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Allowing for Individual Think Time | |
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Improving Students' Process Skills | |
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Assessing Effectiveness of Instructional Activities | |
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Moving Beyond the Individual Classroom | |
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Summary | |
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Number and Operations Assessment Probes | |
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What Is the Value of the Digit? | |
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Teachers' Notes: What Is the Value of the Digit? | |
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What Is the Value of the Digit? Variation | |
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What Is the Meaning of 2/3? | |
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Teachers' Notes: What Is the Meaning of 2/3? | |
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What Is the Meaning of 2/3? Variation | |
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Is It Equivalent? | |
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Teachers' Notes: Is It Equivalent? | |
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Is It Equivalent? Variation | |
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What's Your Estimate? | |
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Teachers' Notes: What's Your Estimate? | |
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Is It an Estimate? | |
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Teachers' Notes: Is It an Estimate? | |
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Is It Simplified? | |
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Teachers' Notes: Is It Simplified? | |
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Is It Simplified? Algebraic Variation | |
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Where Is a Million? | |
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Teachers' Notes: Where Is a Million? | |
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How Low Can You Go? | |
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Teachers' Notes: How Low Can You Go? | |
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How Low Can You Go? Variation | |
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What's Your Addition Strategy? | |
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Teachers' Notes: What's Your Addition Strategy? | |
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What's Your Addition Strategy? Decimals Variation | |
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What's Your Addition Strategy? Fractions Variation | |
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What's Your Subtraction Strategy? | |
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Teachers' Notes: What's Your Subtraction Strategy? | |
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What's Your Subtraction Strategy? Decimals Variation | |
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What's Your Subtraction Strategy? Fractions Variation | |
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What's Your Multiplication Strategy? | |
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Teachers' Notes: What's Your Multiplication Strategy? | |
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What's Your Multiplication Strategy? Decimals Variation | |
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What's Your Division Strategy? | |
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Teachers' Notes: What's Your Division Strategy? | |
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What's Your Division Strategy? Decimals Variation | |
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Geometry, Measurement, and Data Assessment Probes | |
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What's the Measure? | |
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Teachers' Notes: What's the Measure? | |
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What's the Measure? Variation | |
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Are Area and Perimeter Related? | |
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Teachers' Notes: Are Area and Perimeter Related? | |
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What's the Area? | |
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Teachers' Notes: What's the Area? | |
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What's the Capacity? | |
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Teachers' Notes: What's the Capacity? | |
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Is It Transformed? | |
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Teachers' Notes: Is It Transformed? | |
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Are They Similar? | |
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Teachers' Notes: Are They Similar? | |
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What Do You Mean? | |
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Teachers' Notes: What Do You Mean? | |
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What Do You Mean? Variation | |
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Name of the Graph? | |
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Teachers' Notes: Name of the Graph? | |
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Graph Construction? | |
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Teachers' Notes: Graph Construction? | |
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Algebra and Data Assessment Probes | |
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Equal or Not Equal? | |
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Teachers' Notes: Equal or Not Equal? | |
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Is It the Same as a+b? | |
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Teachers' Notes: Is It the Same as a+b? | |
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M & N's? | |
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Teachers' Notes: M & N's? | |
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What's the Substitute? | |
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Teachers' Notes: What's the Substitute? | |
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Is It True? | |
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Teachers' Notes: Is It True? | |
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Solving Equations? | |
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Teachers' Notes: Solving Equations? | |
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Correct Representation of the Inequality? | |
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Teachers' Notes: Correct Representation of the Inequality? | |
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Is It a Variable? | |
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Teachers' Notes: Is It a Variable? | |
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Binomial Expansion? | |
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Teachers' Notes: Binomial Expansion? | |
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Is It Quadratic? | |
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Teachers' Notes: Is It Quadratic? | |
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Note Template for QUEST Cycle | |
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References | |
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Index | |