Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes / Edition 1

Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes / Edition 1

ISBN-10:
1452276579
ISBN-13:
9781452276571
Pub. Date:
03/10/2014
Publisher:
SAGE Publications
ISBN-10:
1452276579
ISBN-13:
9781452276571
Pub. Date:
03/10/2014
Publisher:
SAGE Publications
Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes / Edition 1

Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes / Edition 1

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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


Product Details

ISBN-13: 9781452276571
Publisher: SAGE Publications
Publication date: 03/10/2014
Edition description: New Edition
Pages: 256
Product dimensions: 8.40(w) x 10.80(h) x 0.70(d)
Age Range: 3 Months

About the Author

Cheryl Rose Tobey is a senior mathematics associate at Education Development Center (EDC) in Massachusetts. She is the project director for Formative Assessment in the Mathematics Classroom: Engaging Teachers and Students (FACETS) and a mathematics specialist for Differentiated Professional Development: Building Mathematics Knowledge for Teaching Struggling Students (DPD); both projects are funded by the National Science Foundation (NSF). She also serves as a director of development 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 six published Corwin books, including seven books in the Uncovering Student Thinking series (2007, 2009, 2011, 2013, 2014), two Mathematics Curriculum Topic Study resources (2006, 2012), and Mathematics Formative Assessment: 75 Practical Strategies for Linking Assessment, Instruction and Learning (2011). Before joining MMSA in 2001 to begin working with teachers, Tobey was a high school and middle school mathematics educator for ten years. She received her BS in secondary mathematics education from the University of Maine at Farmington and her MEd from City University in Seattle. She currently lives in Maine with her husband and blended family of five children.

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.

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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