Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5: 25 Formative Assessment Probes

Overview

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

Quickly pinpoint and reverse your students’ common math difficulties with this detailed and easy-to-follow resource from best-selling authors Cheryl Tobey and Carolyn Arline. Twenty research-based assessment probes help you ask the right questions to uncover just where your students get confused – while learning is already...

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Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5: 25 Formative Assessment Probes

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Overview

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

Quickly pinpoint and reverse your students’ common math difficulties with this detailed and easy-to-follow resource from best-selling authors Cheryl Tobey and Carolyn Arline. Twenty research-based assessment probes help you ask the right questions to uncover just where your students get confused – while learning is already underway.

These CCSM-aligned probes eliminate all guesswork and will help you:

  • Systematically address conceptual and procedural mistakes
  • Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond
  • Master essential CCSM mathematical processes and proficiencies for Grades 3-5

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Product Details

  • ISBN-13: 9781452270241
  • Publisher: SAGE Publications
  • Publication date: 12/10/2013
  • Edition description: New Edition
  • Pages: 248
  • Sales rank: 679,176
  • Product dimensions: 8.40 (w) x 10.90 (h) x 1.00 (d)

Meet the Author

Cheryl Rose Tobey is a Senior Mathematics Associate at EDC. She is the implementation director for the Pathways to Mathematics Achievement Study and a mathematics specialist for the NSF-funded Formative Assessment in the Mathematics Classroom: Engaging Teachers and Students (FACETS) and Differentiated Professional Development: Building Mathematics Knowledge for Teaching Struggling Students (DPD) projects. She also serves as a project director for an Institute for Educational Science (IES) project, Eliciting Mathematics Misconceptions (EM2). Her work is primarily in the areas of formative assessment and professional development.

Prior to joining EDC, Tobey was the senior program director for mathematics at the Maine Mathematics and Science Alliance (MMSA), where she served as the co-principal investigator of the mathematics section of the NSF-funded Curriculum Topic Study, and principal investigator and project director of two Title IIa State Mathematics and Science
Partnership projects. Prior to working on these projects, Tobey was the co-principal investigator and project director for MMSA’s NSF-funded Local Systemic Change Initiative, Broadening Educational Access to Mathematics in Maine (BEAMM), and she was a fellow in Cohort 4 of the National Academy for Science and Mathematics Education Leadership. She is the coauthor of four published Corwin books, including three books in the Uncovering Student Thinking Series and Mathematics Curriculum Topic Study: Bridging the Gap Between Standards and Practice. Before joining MMSA
in 2001 to begin working with teachers, Tobey was a high school and middle school mathematics educator for 10 years. She received her BS in secondary mathematics education from the University of Maine at Farmington and her MEd from City University in Seattle.

Emily R. Fagan is a senior curriculum design associate at Education Development Center (EDC) in Massachusetts, where for twelve years she has developed print and online curricula as well as professional development and assessment materials in mathematics. Currently, she’s working on two NSF-funded projects: Differentiated Professional Development: Building Mathematics Knowledge for Teaching Struggling Students (DPD) and Formative Assessment in the Mathematics Classroom: Engaging Teachers and Students (FACETS).

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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

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