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

25 Formative Assessment Probes
Cheryl Rose Tobey - Tobey Education Group, LLC
Emily R. Fagan - Education Development Center, Newton, MA
Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5
November 2013 | 248 pages | Corwin
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eBook
ISBN: 9781483340197
Available from January 0001
Paperback
ISBN: 9781452270241
Available from January 0001

Description

Take the guesswork out of grades 3-5 math assessment!

Expertly pinpoint and reverse your students’ common math difficulties with this must-have resource from best-selling authors Cheryl Tobey and Carolyn Arline. You’ll find 25 research-based assessment probes designed specifically for Grades 3-5 and the new Common Core Standards for Mathematics. Learn to ask the right questions to uncover just where your students get confused, and apply practical strategies to get them quickly back on track – while learning is already underway. It’s all here in this detailed and time-saving guide.

Organized by strand, the probes will enable you to:

  • Quickly and objectively identify and correct students’ difficulties
  • Systematically address conceptual misunderstandings and procedural mistakes-- before they become long-term problems
  • Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond
  • Master the essential CCSM mathematical processes and proficiencies for Grades 3-5

With the help of sample student responses, extensive Teacher Notes, reproducibles, and research-based tips and resources, you’ll quickly eliminate the guesswork and join thousands of busy teachers who’ve used these easy-to-implement probes to foster solid math proficiency!

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. 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 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

Description

Take the guesswork out of grades 3-5 math assessment!

Expertly pinpoint and reverse your students’ common math difficulties with this must-have resource from best-selling authors Cheryl Tobey and Carolyn Arline. You’ll find 25 research-based assessment probes designed specifically for Grades 3-5 and the new Common Core Standards for Mathematics. Learn to ask the right questions to uncover just where your students get confused, and apply practical strategies to get them quickly back on track – while learning is already underway. It’s all here in this detailed and time-saving guide.

Organized by strand, the probes will enable you to:

  • Quickly and objectively identify and correct students’ difficulties
  • Systematically address conceptual misunderstandings and procedural mistakes-- before they become long-term problems
  • Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond
  • Master the essential CCSM mathematical processes and proficiencies for Grades 3-5

With the help of sample student responses, extensive Teacher Notes, reproducibles, and research-based tips and resources, you’ll quickly eliminate the guesswork and join thousands of busy teachers who’ve used these easy-to-implement probes to foster solid math proficiency!

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. 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 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

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

25 Formative Assessment Probes


November 2013 | 248 pages | Corwin

Format Published Date ISBN Price
Paperback 28/04/2023 9781452270241 $39.95
Lifetime 28/04/2023 9781483340197 $36.00

Take the guesswork out of grades 3-5 math assessment!

Expertly pinpoint and reverse your students’ common math difficulties with this must-have resource from best-selling authors Cheryl Tobey and Carolyn Arline. You’ll find 25 research-based assessment probes designed specifically for Grades 3-5 and the new Common Core Standards for Mathematics. Learn to ask the right questions to uncover just where your students get confused, and apply practical strategies to get them quickly back on track – while learning is already underway. It’s all here in this detailed and time-saving guide.

Organized by strand, the probes will enable you to:

  • Quickly and objectively identify and correct students’ difficulties
  • Systematically address conceptual misunderstandings and procedural mistakes-- before they become long-term problems
  • Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond
  • Master the essential CCSM mathematical processes and proficiencies for Grades 3-5

With the help of sample student responses, extensive Teacher Notes, reproducibles, and research-based tips and resources, you’ll quickly eliminate the guesswork and join thousands of busy teachers who’ve used these easy-to-implement probes to foster solid math proficiency!


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. 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

Recent Product Reviews:

The book does not align with NYS's current Next Generation Learning Standards. Some great strategies are useful and applicable across all content areas. Would be confusing to my students who are learning and implementing the Next Gen standards.
Mrs Jennifer Harris, Education Dept, Hobart & William Smith Clgs

Recommendations