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



© 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

Sample Materials & Chapters

Operating with Matrices

Preface


"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
Key features
  • Helps teachers understand the misconceptions and areas where students struggle with Mathematics and offers tools and advice on how to guide them
  • Includes useful resources to support teachers with teaching new mathematical ideas and instil maths proficiency

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ISBN: 9781452276571

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