Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes

Overview

Take the guesswork out of high school math instruction!

Quickly and reliably uncover common math misconceptions in Grades 9-12 with these convenient and easy-to-implement diagnostic tools! Bestselling authors Cheryl Rose Tobey and Carolyn B. Arline provide 25 new assessment probes that pinpoint subconcepts within the Common Core State Standards to promote deep learning and expert math instruction—all while ...

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Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes

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Overview

Take the guesswork out of high school math instruction!

Quickly and reliably uncover common math misconceptions in Grades 9-12 with these convenient and easy-to-implement diagnostic tools! Bestselling authors Cheryl Rose Tobey and Carolyn B. Arline provide 25 new assessment probes that pinpoint subconcepts within the Common Core State Standards to promote deep learning and expert math instruction—all while learning is underway.

Completely Common Core aligned, these grade-specific probes eliminate the guesswork and will help you

  • Systematically address conceptual and procedural mistakes
  • Pinpoint where students are struggling
  • Plan targeted instruction in algebra, functions, logarithms, geometry, trigonometric ratios, statistics and probability, and more

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Editorial Reviews

Lyneille Meza
"High school mathematics can be one of the most difficult subjects for students to learn. This book provides the teacher with tools to help the student get to the root of their thinking in order to correct the underlying misconceptions that students amass during their school years. "
Randy Wormald
"Not only does this book make strong connections to the CCSS, it provides a framework for teachers to improve their craft. Identifying student misconceptions is an extremely important aspect of assessment and this book provides a solid format to aide teachers. "
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Product Details

  • ISBN-13: 9781452276571
  • Publisher: SAGE Publications
  • Publication date: 3/4/2014
  • Edition description: New Edition
  • Pages: 256
  • Sales rank: 939,763
  • Product dimensions: 8.40 (w) x 10.80 (h) x 0.70 (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.

Carolyn B. Arline is a secondary mathematics educator, currently teaching high school students in Maine. Carolyn also works as a teacher leader in the areas of mathematics professional development, learning communities, assessment, systematic school reform, standards-based teaching, learning and grading, student-centered classrooms, and technology. She has previously worked as a mathematics specialist at the Maine Mathematics and Science Alliance (MMSA) and continues her work with them as a consultant. Carolyn is a fellow of the second cohort group of the Governor’s Academy for Science and Mathematics Educators and serves as a mentor teacher with the current cohort. She participated as a mathematics mentor in the NSF-funded Northern New England Co-Mentoring Network (NNECN) and continues her role as a mentor teacher. She serves as a board member of the Association of Teachers of Mathematics in Maine (ATOMIM) and on local curriculum committees. Carolyn received her B.S. in secondary mathematics education from the University of Maine.

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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. Number and Quantity Probes
Complex Numbers
Rational Exponents
Operating With Matrices
Chapter 3. Algebra Probes
Equivalent Expressions
Simplifying Rational Expressions
Solving for a Variable
Solving Quadratic Equations
Systems of Linear Equations
Matrix Equations
Chapter 4. Functions Probes
Jogging: Graphical Representation
Interpreting Functions
Transformation of Functions
Circular Measurement
Direct and Inverse Variation
Equation of the Function
Logarithms
Chapter 5. Geometry Probes
Properties of Angles
Is It a Parallelogram?
Names of the Shape
Circles and Angles
Trigonometric Ratios
Geometry Formulas Card Sort
Chapter 6. Statistics and Probability Probes
Modeling With Linear Graphs
Comparing Data in Box Plots
Probability
Chapter 7. Additional Considerations
Establishing Learning Targets
Individual Metacognition and Reflection (The 4Cs)
Giving Student Interviews
Addressing Individual Needs
Promoting Mathematical Discourse
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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