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Uncovering Student Thinking About Mathematics in the Common Core, High School
Uncover common mathematical misconceptions with 25 easy-to-implement assessments. You can continuously monitor learning and improve student skills and processes in algebra, functions, geometry, and more!
- Grade Level: PreK-12
- ISBN: 9781452276571
- Published By: Corwin
- Year: 2014
- Page Count: 256
- Publication date: March 10, 2014
When you select 'request review copy', you will be redirected to Sage Publishing (our parent site) to process your request.
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.
- 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
Table of Contents
Preface: Mathematics Assessment Probes
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
Operating With Matrices
Chapter 3. Algebra Probes
Simplifying Rational Expressions
Solving for a Variable
Solving Quadratic Equations
Systems of Linear Equations
Chapter 4. Functions Probes
Jogging: Graphical Representation
Transformation of Functions
Direct and Inverse Variation
Equation of the Function
Chapter 5. Geometry Probes
Properties of Angles
Is It a Parallelogram?
Names of the Shape
Circles and Angles
Geometry Formulas Card Sort
Chapter 6. Statistics and Probability Probes
Modeling With Linear Graphs
Comparing Data in Box Plots
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
Appendix A. Information on the Standards for Mathematical Practice
Appendix B. Developing Assessment Probes
Appendix C. Action Research Reflection Template: QUEST Cycle
"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