Foreword by Johnny W. Lott |
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1. Mathematics Assessment Probes |
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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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2. 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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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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3. Number and Operations Assessment Probes |
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Probe 1: What Is the Value of the Digit? |
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Teachers' Notes: What Is the Value of the Digit? |
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Probe 1a: What Is the Value of the Digit? Variation |
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Probe 2: What Is the Meaning of 2/3? |
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Teachers' Notes: What Is the Meaning of 2/3? |
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Probe 2a: What Is the Meaning of 2/3? Variation |
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Probe 3: Is It Equivalent? |
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Teachers' Notes: Is It Equivalent? |
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Probe 3a: Is It Equivalent? Variation |
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Probe 4: What's Your Estimate? |
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Teachers' Notes: What's Your Estimate? |
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Probe 5: Is It an Estimate? |
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Teachers' Notes: Is It an Estimate? |
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Probe 6: Is It Simplified? |
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Teachers' Notes: Is It Simplified? |
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Probe 6a: Is It Simplified? Algebraic Variation |
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Probe 7: Where Is a Million? |
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Teachers' Notes: Where Is a Million? |
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Probe 8: How Low Can You Go? |
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Teachers’ Notes: How Low Can You Go? |
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Probe 8a: How Low Can You Go? Variation |
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Probe 9: What’s Your Addition Strategy? |
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Teachers’ Notes: What’s Your Addition Strategy? |
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Probe 9a: What’s Your Addition Strategy? Decimals Variation |
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Probe 9b: What’s Your Addition Strategy? Fractions Variation |
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Probe 10: What’s Your Subtraction Strategy? |
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Teachers’ Notes: What’s Your Subtraction Strategy? |
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Probe 10a: What’s Your Subtraction Strategy? Decimals Variation |
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Probe 10b: What’s Your Subtraction Strategy? Fractions Variation |
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Probe 11: What’s Your Multiplication Strategy? |
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Teachers’ Notes: What’s Your Multiplication Strategy? |
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Probe 11a: What’s Your Multiplication Strategy? Decimals Variation |
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Probe 12: What’s Your Division Strategy? |
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Teachers’ Notes: What’s Your Division Strategy? |
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Probe 12a: What’s Your Division Strategy? Decimals Variation |
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4. Geometry, Measurement, and Data Assessment Probes |
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Probe 1: What’s the Measure? |
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Teachers’ Notes: What’s the Measure? |
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Probe 1a: What’s the Measure? Variation |
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Probe 2: Are Area and Perimeter Related? |
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Teachers’ Notes: Are Area and Perimeter Related? |
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Probe 3: What’s the Area? |
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Teachers’ Notes: What’s the Area? |
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Probe 4: What’s the Capacity? |
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Teachers’ Notes: What’s the Capacity? |
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Probe 5: Is It Transformed? |
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Teachers’ Notes: Is It Transformed? |
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Probe 6: Are They Similar? |
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Teachers’ Notes: Are They Similar? |
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Probe 7: What Do You Mean? |
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Teachers’ Notes: What Do You Mean? |
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Probe 7a: What Do You Mean? Variation |
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Probe 8: Name of the Graph? |
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Teachers’ Notes: Name of the Graph? |
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Probe 9: Graph Construction? |
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Teachers’ Notes: Graph Construction? |
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5. Algebra and Data Assessment Probes |
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Probe 1: Equal or Not Equal? |
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Teachers’ Notes: Equal or Not Equal? |
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Probe 2: Is It the Same as a+b? |
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Teachers’ Notes: Is It the Same as a+b? |
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Teachers’ Notes: M & N’s? |
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Probe 4: What’s the Substitute? |
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Teachers’ Notes: What’s the Substitute? |
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Teachers’ Notes: Is It True? |
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Probe 6: Solving Equations? |
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Teachers’ Notes: Solving Equations? |
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Probe 7: Correct Representation of the Inequality? |
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Teachers’ Notes: Correct Representation of the Inequality? |
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Probe 8: Is It a Variable? |
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Teachers’ Notes: Is It a Variable? |
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Probe 9: Binomial Expansion? |
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Teachers’ Notes: Binomial Expansion? |
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Probe 10: Is It Quadratic? |
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Teachers’ Notes: Is It Quadratic? |
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Resource A: Note Template for QUEST Cycle |
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