Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5

Preface: Mathematics Assessment Probes Acknowledgments About the Authors Chapter 1. Mathematics Assessment Probes Questioning Student Understanding: Determine the Key Mathematical Concepts You Want Students to Learn Uncovering Student Understanding: Use a Probe to Uncover Understandings and Areas of Difficulties What Is the Structure of a Probe? QUEST Cycle: Structure of the Supporting Teacher Notes Beginning to Use the Probes How to Navigate the Book Final Chapter 1 Thoughts Chapter 2. Operations and Algebraic Thinking Probes Completing Number Sentences Multiplication and Division Sentences (Number Models) Classifying Numbers Card Sort Which Answer Makes Sense? (Working With Remainders) Evaluating Expressions Chapter 3. Number and Operations: Base-Ten Probes Rounding Whole Numbers Subtracting Whole Numbers Are They Equivalent? Rounding Decimals Adding Decimals Decimal Division Estimates Chapter 4. Number and Operations: Fractions Probes Locating a Fraction on a Number Line Equivalent Fractions Card Sort Representing Decimals Comparing to 1/2 Fraction Estimates: Addition Chapter 5. Measurement and Data Probes What Does the Graph Say? Comparing Lengths Estimating Measures Comparing Metric Measures Chapter 6. Geometry and Geometric Measurement Probes Finding Area Naming the Perimeter Volume of the Box Classifying Angles Card Sort Names of the Shape Chapter 7. Additional Considerations Establishing Learning Targets Individual Metacognition and Reflection (The 4Cs) Giving Student Interviews Addressing Individual Needs Promoting Math Talk Supporting the Mathematical Practices Sharing Experiences and Promoting Professional Collaboration Summary Appendix A. Information on the Standards for Mathematical Practice Appendix B. Developing Assessment Probes Appendix C. Action Research Reflection Template: QUEST Cycle References Index