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



March 2014 | 256 pages | Corwin
Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes
Cheryl Rose Tobey, Carolyn B. Arline

“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 aid teachers."
—Randy Wormald, Math Teacher
Kearsarge Regional High School, Sutton, NH

Take the guesswork out of high school math instruction!
Helping your students master high school mathematics just got a whole lot easier! Bestselling authors Cheryl Rose Tobey and Carolyn B. Arline provide 25 detailed and grade-level specific assessment probes that promote deep learning and expert math instruction. Learn to ask the right questions to uncover where and how students commonly get confused.

Focused on subconcepts within the new Common Core State Standards for Mathematics and organized by strand, the probes will help you foster new and accurate skills--while learning is underway. You’ll learn how to 

  • Quickly diagnose students’ common misconceptions and procedural mistakes 
  • Help students pinpoint areas of struggle
  • Plan targeted instruction that builds on students’ current understandings while addressing difficulties with Algebra, Geometry,Functions, Logarithms, Statistics and Probability, Trigonometric Ratios, and more
  • Elicit the skills and processes related to the Standards for Mathematical Practices

You’ll find sample student responses, extensive Teacher Notes, and research-based tips and resources to help you instill new mathematical ideas. Includes the QUEST Cycle for effective, hands-on implementation. Now you can eliminate the guesswork once and for all and join thousands of busy high school teachers who’ve used these easy-to-implement tools to build solid math proficiency!

Other Books From Corwin:
1. Tobey: Uncovering Student Thinking About Mathematics in the Common Core, Grades K–2, 978-1-4522-3003-0
2. Tobey: Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5, 978-1-4522-7024-1
3. Tobey: Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8, 978-1-4522-3088-7


Cheryl Rose Tobey is a Senior Mathematics Associate at Education Development Center (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).

Carolyn B. Arline is a secondary mathematics educator, currently teaching high school students in Maine. She 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.

 
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

"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."

Lyneille Meza, Coordinator of Data & Assessment
Denton ISD , Denton, TX

"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."

Randy Wormald, Math Teacher
Kearsarge Regional High School, Sutton, NH

Sample Materials & Chapters

Operating with Matrices

Preface


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ISBN: 9781452276571

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