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.
विषयसूची
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
लेखक के बारे में
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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