Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes
Autor Cheryl Rose Tobey, Carolyn B. Arlineen Limba Engleză Paperback – 23 apr 2014
- 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, functions, logarithms, geometry, trigonometric ratios, statistics and probability, and more
- Elicit the skills and processes related to the Standards for Mathematical Practices
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Specificații
ISBN-13: 9781452276571
ISBN-10: 1452276579
Pagini: 256
Ilustrații: illustrations
Dimensiuni: 216 x 279 x 16 mm
Greutate: 0.61 kg
Ediția:1
Editura: SAGE Publications
Colecția Corwin
Locul publicării:Thousand Oaks, United States
ISBN-10: 1452276579
Pagini: 256
Ilustrații: illustrations
Dimensiuni: 216 x 279 x 16 mm
Greutate: 0.61 kg
Ediția:1
Editura: SAGE Publications
Colecția Corwin
Locul publicării:Thousand Oaks, United States
Recenzii
"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."
"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."
"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."
Cuprins
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
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
Notă biografică
Descriere
25 convenient assessments designed to help secondary mathematics teachers quickly and reliably uncover common maths misconceptions, make sound instructional decisions, and improve student skills and processes in algebra, geometry, statistics, probability, and more.