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

  • Formatas: EPUB+DRM
  • Išleidimo metai: 20-Feb-2014
  • Leidėjas: Corwin Press Inc
  • Kalba: eng
  • ISBN-13: 9781483359083
  • Formatas: EPUB+DRM
  • Išleidimo metai: 20-Feb-2014
  • Leidėjas: Corwin Press Inc
  • Kalba: eng
  • ISBN-13: 9781483359083

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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. Youll 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

Youll 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 whove 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 K2, 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.

Recenzijos

"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 "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

Preface: Mathematics Assessment Probes vii
Acknowledgments ix
About the Authors x
Chapter 1 Mathematics Assessment Probes
1(27)
Questioning Student Understanding: Determine the Key Mathematical Concepts You Want Students to Learn
5(5)
Uncovering Student Understanding: Use a Probe to Uncover Understandings and Areas of Difficulties
10(3)
What Is the Structure of a Probe?
13(4)
QUEST Cycle: Structure of the Supporting Teacher Notes
17(5)
Beginning to Use the Probes
22(2)
How to Navigate the Book
24(3)
Final
Chapter 1 Thoughts
27(1)
Chapter 2 Number and Quantity Probes
28(22)
Complex Numbers
30(5)
Rational Exponents
35(8)
Operating With Matrices
43(7)
Chapter 3 Algebra Probes
50(37)
Equivalent Expressions
53(8)
Simplifying Rational Expressions
61(5)
Solving for a Variable
66(7)
Solving Quadratic Equations
73(5)
Systems of Linear Equations
78(5)
Matrix Equations
83(4)
Chapter 4 Functions Probes
87(45)
Jogging: Graphical Representation
90(6)
Interpreting Functions
96(5)
Transformation of Functions
101(6)
Circular Measurement
107(5)
Direct and Inverse Variation
112(8)
Equation of the Function
120(6)
Logarithms
126(6)
Chapter 5 Geometry Probes
132(41)
Properties of Angles
135(6)
Is It a Parallelogram?
141(6)
Names of the Shape
147(5)
Circles and Angles
152(7)
Trigonometric Ratios
159(6)
Geometry Formulas Card Sort
165(8)
Chapter 6 Statistics and Probability Probes
173(23)
Modeling With Linear Graphs
176(6)
Comparing Data in Box Plots
182(8)
Probability
190(6)
Chapter 7 Additional Considerations
196(18)
Establishing Learning Targets
197(3)
Individual Metacognition and Reflection (The 4Cs)
200(3)
Giving Student Interviews
203(1)
Addressing Individual Needs
203(1)
Promoting Mathematical Discourse
204(2)
Supporting the Mathematical Practices
206(5)
Sharing Experiences and Promoting Professional Collaboration
211(2)
Summary
213(1)
Appendix A Information on the Standards for Mathematical Practice 214(8)
Appendix B Developing Assessment Probes 222(2)
Appendix C Action Research Reflection Template: QUEST Cycle 224(2)
References 226(4)
Index 230
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 coprincipal 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 coprincipal investigator and project director for MMSAs 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 Governors 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.