Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8

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. Number System Probes Estimating Quotients Division of Fractions Number Lines Rational Number Multiplication Estimates Is It Positive? Number Card Sort Chapter 3. Ratio and Proportional Relationship Probes Best Estimates: Finding Percents Comparing Measures Best Estimates: Solving Proportions Proportional Reasoning Sort Chapter 4. Expressions and Equations and Functions Probes Value of the Inequality Writing Equations Is It Equivalent? Linear Equations Is It a Linear Function? Chapter 5. Statistics and Probability Probes Measures of Center and Spread What's the Chance? Scatterplots Chapter 6. Geometry Probes Perimeter and Area Properties of Angles Finding Volume Scale Right Triangles Heights of Solids Parallelograms 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