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E-raamat: Designing Assessment for Mathematics

  • Formaat: EPUB+DRM
  • Ilmumisaeg: 31-May-2007
  • Kirjastus: Corwin Press Inc
  • Keel: eng
  • ISBN-13: 9781452293912
  • Formaat - EPUB+DRM
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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 31-May-2007
  • Kirjastus: Corwin Press Inc
  • Keel: eng
  • ISBN-13: 9781452293912

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"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 todays 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-tos 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.

Arvustused

"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 "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 "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

Acknowledgments ix
About the Author xi
Introduction xiii
The State of Mathematics xiii
About This Book xiv
Using Rubrics in Mathematics
1(30)
The Rubric
1(2)
Why Use Rubrics in Mathematics?
3(3)
Rubric/Mathematics Application: You're Right on Target!
6(5)
Performance Task Explanation
6(3)
Rubric
9(1)
Checklist
9(1)
Expanding the Task
9(1)
Simplifying the Task
9(1)
Playing the Game
10(1)
Checkup
11(1)
Mathematics Reflection
11(1)
In Summary
11(20)
The Relationship Between Mathematics Standards and Rubrics
31(20)
The Importance of Standards
31(1)
Mathematics Standards and Rubrics
32(3)
Creating a Rubric That Addresses Standards
33(2)
Rubric/Mathematics Application: How Negative Are My Temperatures?
35(4)
Performance Task Explanation
35(2)
Rubric
37(1)
Expanding the Task
37(1)
Simplifying the Task
37(1)
Shortening the Task
37(1)
Checkup
38(1)
Challenge Activity
38(1)
Visual Display
39(1)
In Summary
39(12)
Performance Tasks and Rubrics
51(18)
Why Use Performance Tasks?
51(1)
Characteristics of Performance Tasks
52(1)
Creating the Performance Task
53(3)
Rubric/Mathematics Application: Let's Go Shopping!
56(3)
Performance Task Explanation
56(2)
Rubric
58(1)
Checklist
58(1)
In Summary
59(10)
Developing the Rubric From a Checklist
69(20)
The Checklist
69(1)
The Transition From Checklist to Rubric
70(2)
Summary of Steps for Developing a Rubric
72(3)
Step 1: Develop a Checklist and Rubric Criteria From the Checklist
72(2)
Step 2: Develop the Point System for Each Criterion
74(1)
Step 3: Develop the Descriptors for Each Level of Quality
74(1)
Rubric/Mathematics Application: What's My Area?
75(4)
Performance Task Explanation
75(1)
Rubric
76(2)
Student Helper
78(1)
Expanding the Task
78(1)
Simplifying the Task
78(1)
Checkup
79(1)
In Summary
79(10)
Weighted Rubrics
89(20)
The Purpose of Weighted Rubrics
89(3)
Using Technology in Rubric Development
92(1)
Rubric/Mathematics Application: Discoveries in Rainbow Candy Land
93(4)
Performance Task Explanation
93(2)
Business Letter
95(1)
Rubric
95(1)
Expanding the Task
96(1)
Simplifying the Task
96(1)
Checkup
96(1)
In Summary
97(12)
Student-Created Rubrics
109(20)
Using Student-Created Rubrics
109(1)
The Process
110(4)
Rubric/Mathematics Application: I'm Not Just Average!
114(4)
Performance Task Explanation
114(1)
Reflections
115(2)
Checklist
117(1)
Rubric
117(1)
Expanding the Task
117(1)
Simplifying the Task
117(1)
Checkup
118(1)
In Summary
118(11)
Teacher-Made Tests and Rubrics
129(18)
Using Teacher-Made Tests
129(1)
Creating a Teacher-Made Test
130(5)
Standards
130(1)
Questions on a Teacher-Made Test
131(2)
Evaluating a Teacher-Made Test
133(1)
Sharing Test Results
133(2)
Rubric/Mathematics Application: Finding LCM and GCF
135(3)
Performance Task Explanation
136(1)
Rubric
136(1)
Expanding the Task
136(1)
Simplifying the Task
136(2)
Checkup (Teacher-Made Test)
138(1)
In Summary
138(9)
Using Rubric Data
147(18)
Analyzing Data
147(1)
Individual Graphs
147(3)
Group and Summary Information
150(2)
Student Comparisons
152(1)
Rubric/Mathematics Application: The Garden
153(2)
Performance Task Explanation
153(1)
Rubric
154(1)
Expanding the Task
155(1)
Simplifying the Task
155(1)
Viewing Rubric Results
155(1)
In Summary
155(10)
Mathematics and Communication
165(14)
Mathematical Vocabulary
165(1)
Communication
165(3)
Feedback
168(1)
Reflection
168(5)
Share-List Strategy
171(1)
Think-Speak-Write Strategy
171(1)
Give-Me-10 Strategy
171(1)
Two-Four-Eight Strategy
171(1)
Stand Up--Sit Down Strategy
171(1)
The Big Three Strategy
172(1)
Headline News Strategy
172(1)
Echo Strategy
172(1)
Have a Ball Strategy
172(1)
2L-1Q Strategy
172(1)
What Do I Think? Strategy
172(1)
Mathematics Application: Sales Tax Task
173(4)
Performance Task Explanation
173(1)
Rubric
173(1)
Expanding the Task
173(3)
Simplifying the Task
176(1)
Communication
176(1)
In Summary
177(2)
Appendix 1: Additional Rubric/Mathematics Application Projects
179(24)
Project 1 Overview: Measurement and Statistics
180(6)
Project 2 Overview: Symmetry and Area
186(5)
Project 3 Overview: Standard Measurement
191(3)
Project 4 Overview: Unit Pricing
194(4)
Project 5 Overview: Complementary and Supplementary Angles
198(5)
Appendix 2: Turning a 4-Point Rubric Score Into a Letter Grade
203(4)
Bibliography 207(4)
Index 211
Dr. Depka is an educational consultant and author. Eileen has supervised and coordinated curriculum, instruction, assessment, special education, educational technology, and continuous improvement efforts. In addition, she provides professional development for K12 administrators and teachers. Eileen has taught all subjects at the elementary and middle levels, and she has also taught graduate-level courses. As a consultant, she has worked with schools and districts across the country, focusing on topics including assessment, grading and reporting, portfolio development, rubrics, continuous improvement, and data collection. Since 1998, Eileen has presented at the local, state, and national levels.

 

Eileen has been featured in and consulted on educational videos, and she has written online courses. She is the author of Focus on Homework, Designing Rubrics for Mathematics, Designing Assessment for Mathematics, and The Data Guidebook for Teachers and Leaders: Tools for Continuous Improvement. She is the co-author of Formative Assessment in the RTI Framework and a contributing author to Data Enhanced Leadership.  Her newest book concentrating on questioning strategies will be available later this year through Solution-Tree press. 

 

Eileen earned a bachelors degree in elementary education from the University of Wisconsin.  Her Masters and Doctoral degrees were earned from Cardinal Stritch University.

 

Eileen is passionate about student achievement and is driven by the belief that all children can achieve academic success.  Her goal is to work with teachers and administrators to collectively increase expertise and add to strategy banks used in educational settings in an effort to impact student achievement.