Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8
Purchase
Description
Pinpoint and reverse math misconceptions with laser-like accuracy
Here’s the middle-grades math resource you’ve been waiting for! Bestselling authors Cheryl Tobey and Carolyn Arline are back with 25 entirely new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction. Learn to ask the right questions to uncover common student misconceptions. Get practical instructional ideas that build new and accurate skills--while learning is already underway. It’s all here in this detailed and grade-level specific guide.
Organized by strand, the probes will enable you to:
- Quickly and objectively evaluate common misconceptions around fractions and decimals, linear equations, ratios and percents, statistics, and more
- Systematically address conceptual misunderstandings and procedural mistakes--before they become long-term problems
- Help students better understand areas of difficulty
- Plan targeted instruction that builds on students’ current understandings while addressing areas of struggle
- Master the essential CCSM mathematical processes and proficiencies for Grades 6-8
You’ll find sample student responses, extensive Teacher Notes, and research-based tips and resources. Eliminate the guesswork and join thousands of busy middle-grades teachers who’ve used these easy-to-implement tools to foster solid math proficiency!
"This book will definitely help mathematics teachers now that the CCSS are becoming such a big part of our teaching."
—Debra A. Scarpelli, Middle School Mathematics Teacher
RIMLE President, PARCC/CCSS ELC Cadre for Rhode Island, and Adjunct Professor
Contents
Preface: Mathematics Assessment Probes
Preface: Mathematics Assessment Probes
Acknowledgments
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 A. Information on the Standards for Mathematical Practice
Appendix B. Developing Assessment Probes
Appendix B. Developing Assessment Probes
Appendix C. Action Research Reflection Template: QUEST Cycle
Appendix C. Action Research Reflection Template: QUEST Cycle
References
References
Index
Index
Additional materials
Description
Pinpoint and reverse math misconceptions with laser-like accuracy
Here’s the middle-grades math resource you’ve been waiting for! Bestselling authors Cheryl Tobey and Carolyn Arline are back with 25 entirely new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction. Learn to ask the right questions to uncover common student misconceptions. Get practical instructional ideas that build new and accurate skills--while learning is already underway. It’s all here in this detailed and grade-level specific guide.
Organized by strand, the probes will enable you to:
- Quickly and objectively evaluate common misconceptions around fractions and decimals, linear equations, ratios and percents, statistics, and more
- Systematically address conceptual misunderstandings and procedural mistakes--before they become long-term problems
- Help students better understand areas of difficulty
- Plan targeted instruction that builds on students’ current understandings while addressing areas of struggle
- Master the essential CCSM mathematical processes and proficiencies for Grades 6-8
You’ll find sample student responses, extensive Teacher Notes, and research-based tips and resources. Eliminate the guesswork and join thousands of busy middle-grades teachers who’ve used these easy-to-implement tools to foster solid math proficiency!
"This book will definitely help mathematics teachers now that the CCSS are becoming such a big part of our teaching."
—Debra A. Scarpelli, Middle School Mathematics Teacher
RIMLE President, PARCC/CCSS ELC Cadre for Rhode Island, and Adjunct Professor
Contents
Preface: Mathematics Assessment Probes
Preface: Mathematics Assessment Probes
Acknowledgments
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 A. Information on the Standards for Mathematical Practice
Appendix B. Developing Assessment Probes
Appendix B. Developing Assessment Probes
Appendix C. Action Research Reflection Template: QUEST Cycle
Appendix C. Action Research Reflection Template: QUEST Cycle
References
References
Index
Index
Additional materials
Reviews
Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8
25 Formative Assessment Probes
October 2013 | 232 pages | Corwin
| Format | Published Date | ISBN | Price |
|---|---|---|---|
| Paperback | 27/02/2023 | 9781452230887 | $43.95 |
Pinpoint and reverse math misconceptions with laser-like accuracy
Here’s the middle-grades math resource you’ve been waiting for! Bestselling authors Cheryl Tobey and Carolyn Arline are back with 25 entirely new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction. Learn to ask the right questions to uncover common student misconceptions. Get practical instructional ideas that build new and accurate skills--while learning is already underway. It’s all here in this detailed and grade-level specific guide.
Organized by strand, the probes will enable you to:
- Quickly and objectively evaluate common misconceptions around fractions and decimals, linear equations, ratios and percents, statistics, and more
- Systematically address conceptual misunderstandings and procedural mistakes--before they become long-term problems
- Help students better understand areas of difficulty
- Plan targeted instruction that builds on students’ current understandings while addressing areas of struggle
- Master the essential CCSM mathematical processes and proficiencies for Grades 6-8
You’ll find sample student responses, extensive Teacher Notes, and research-based tips and resources. Eliminate the guesswork and join thousands of busy middle-grades teachers who’ve used these easy-to-implement tools to foster solid math proficiency!
"This book will definitely help mathematics teachers now that the CCSS are becoming such a big part of our teaching."
—Debra A. Scarpelli, Middle School Mathematics Teacher
RIMLE President, PARCC/CCSS ELC Cadre for Rhode Island, and Adjunct Professor
Table Of Contents:
- 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