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Designing Assessment for Mathematics
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Designing Assessment for Mathematics

Second Edition


May 2007 | 232 pages | Corwin

"Clearly demonstrates how to design rubrics for math, a content area that desperately needs support. The use of rubrics combined with performance tasks helps educators teach math at a higher, more engaging level. A must-have book for all educators seeking to build a strong thinking-based math program."
—Lee Ann Cervini, Principal, Holley Elementary School, NY

"Makes a distinct contribution to the field. Not only does the text clearly explain how to create rubrics and performance tasks in a step-by-step manner, each chapter also provides an example for immediate use in the classroom."
—Marcia Carlson, Sixth-Grade Teacher, Crestview Elementary School, Clive, IA

Enhance students' understanding of math concepts through rubrics and hands-on learning!

Teaching mathematics in today's world requires practices and procedures integrated with performance tasks that actively involve students. In this second edition of Designing Rubrics for Mathematics, Eileen Depka clarifies the purpose of rubrics in math instruction and illustrates the relationship between assessment, rubrics, and the National Council of Teachers of Mathematics' Principles and Standards for School Mathematics (2000).

Each chapter in this research-based updated edition offers easy-to-use strategies, suggestions, creative sample problems, and tasks to engage students in hands-on learning while allowing them to have fun in the process. With two new chapters focused on communication to deepen students' understanding of math concepts and using rubric data to improve instruction, this resource provides teachers with:

  • Reflective activities to use with students for metacognitive processing
  • Strategies for creating standards-linked rubrics, plus samples
  • Tips for differentiating performance tasks
  • How-to's for student-created rubrics
  • Internet resource links for rubric development, mathematical focal points, and standards

Designing Assessment for Mathematics, Second Edition, demonstrates how to drive instruction and successfully boost achievement levels by providing students with experiences that impact their learning and performance.


 
Acknowledgments
 
About the Author
 
Introduction
The State of Mathematics

 
About This Book

 
 
Chapter 1. Using Rubrics in Mathematics
The Rubric

 
Why Use Rubrics in Mathematics?

 
Rubric/Mathematics Application: You're Right on Target!

 
In Summary

 
 
Chapter 2. The Relationship Between Mathematics Standards and Rubrics
The Importance of Standards

 
Mathematics Standards and Rubrics

 
Rubric/Mathematics Application: How Negative Are My Temperatures?

 
In Summary

 
 
Chapter 3. Performance Tasks and Rubrics
Why Use Performance Tasks?

 
Characteristics of Performance Tasks

 
Creating the Performance Task

 
Rubric/Mathematics Application: Let's Go Shopping!

 
In Summary

 
 
Chapter 4. Developing the Rubric From a Checklist
The Checklist

 
The Transition from Checklist to Rubric

 
Summary of Steps for Developing a Rubric

 
Rubric/Mathematics Application: What's My Area?

 
In Summary

 
 
Chapter 5. Weighted Rubrics
The Purpose of Weighted Rubrics

 
Using Technology in Rubric Development

 
Rubric/Mathematics Application: Discoveries in Rainbow Candy Land

 
In Summary

 
 
Chapter 6. Student-Created Rubrics
Using Student-Created Rubrics

 
The Process

 
Rubric/Mathematics Application: I'm Not Just Average!

 
In Summary

 
 
Chapter 7. Teacher-Made Tests and Rubrics
Using Teacher-Made Tests

 
Creating a Teacher-Made Test

 
Rubric/Mathematics Application: Finding LCM and GCF

 
In Summary

 
 
Chapter 8. Using Rubric Data
Analyzing Data

 
Individual Graphs

 
Group and Summary Information

 
Student Comparisons

 
Rubric/Mathematics Application: The Garden

 
In Summary

 
 
Chapter 9. Mathematics and Communication
Mathematical Vocabulary

 
Communication

 
Feedback

 
Reflection

 
Mathematics Application: Sales Tax Task

 
In Summary

 
 
Appendix 1: Additional Rubric/Mathematics Application Projects
Project 1 Overview: Measurement and Statistics

 
Project 2 Overview: Symmetry and Area

 
Project 3 Overview: Standard Measurement

 
Project 4 Overview: Unit Pricing

 
Project 5 Overview: Complementary and Supplementary Angles

 
 
Appendix 2: Turning a 4-Point Rubric Score Into a Letter Grade
 
Bibliography
 
Index

"Makes a distinct contribution to the field. Not only does the text clearly explain how to create rubrics and performance tasks in a step-by-step manner, each chapter also provides an example for immediate use in the classroom."

Marcia Carlson, Sixth-Grade Teacher
Crestview Elementary School, Clive, IA

"Clearly demonstrates how to design rubrics for math, a content area that desperately needs support. The use of rubrics combined with performance tasks helps educators teach math at a higher, more engaging level. A must-have book for all educators seeking to build a strong, thinking-based math program."

Lee Ann Cervini, Principal
Holley Elementary School, NY

"From strategies to increase cognitive processing abilities to providing students with tailored experiences to reinforce learning, this book is a solid pick for any education collection."

California Bookwatch, October 2007
Key features
  • Guidelines for creating standards-linked rubrics
  • Steps for creating performance tasks and rubric assessments
  • Samples rubrics and tasks and steps for creating your own
  • Tips for differentiating performance tasks
  • How-to's for involving students in the creation of rubrics
  • Reflective activities to use with students for metacognitive processing

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