Cover image for Geometry out loud : learning mathematics through reading and writing activities
Title:
Geometry out loud : learning mathematics through reading and writing activities
Personal Author:
Publication Information:
San Francisco, CA : Jossey Bass, 2006
Physical Description:
xiii, 258 p. : ill. ; 28 cm.
ISBN:
9780787976019

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30000010175756 QA461 M68 2006 Open Access Book Book
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Summary

Summary

Geometry Out Loud is the second volume in the popular Math Out Loud series. Written for mathematics teachers of students in grades 8-12, this easy-to-use resource is filled with illustrative examples, strategies, activities, and lessons that will help students more easily understand mathematical text and learn the skills they need to effectively communicate mathematical concepts. Geometry Out Loud outlines the progression of axiomatic geometry through transformational geometry and shows the differences in visual thinking that have occurred over the years. The book is filled with strategies and activities for learning geometry, numerous illustrative examples, and ready-to-use lessons. Geometry Out Loud gives teachers the tools they need to help their students learn how to communicate about math ideas between student and teacher, student and peers, and student and the wider world. For quick access and easy use, the activities are printed in a big 8-1/2" x 11" format for photocopying, and are organized into eight chapters.


Author Notes

Pat Mower, Ph.D., is an associate professor in the Department of Mathematics and Statistics at Washburn University in Topeka, Kansas


Table of Contents

The Authorp. v
Acknowledgmentsp. vi
Introductionp. xi
Geometry Time Line of the Most Important Geometers and Conceptsp. xiii
Part 1 Reading to Learn Geometry
1 Preeading Strategies and Activities
Preludep. 5
Review/Preview Processp. 7
Knowledge Ratingsp. 10
Anticipation Guidesp. 15
PreP (Prereading Plan)p. 19
Problem-Solving PrePp. 21
Wordsmithingp. 27
2 Reading and Vocabulary-Building Strategies and Activities
Preludep. 33
Magic Square Activityp. 35
Vocabulary Scramblep. 40
Concept Circlesp. 42
K-W-Lp. 44
Semantic Feature Analysisp. 48
Graphic Organizersp. 55
Reading Math Symbolsp. 59
Reading Proofsp. 60
Semantic Word Mapsp. 63
3 Postreading Strategies and Activities
Preludep. 69
Fill in the Picturep. 70
Concept Cardsp. 74
Frayer Modelp. 80
Question-Answer Relationship (QAR)p. 84
Comparison and Contrast Matrixp. 90
4 Readings in Geometry
Preludep. 95
Reading 1 Early Geometryp. 96
Reading 2 Types of Geometriesp. 99
Reading 3 Important Women Geometersp. 104
Reading 4 A Geometric Awakeningp. 106
Part 2 Writing to Learn Geometry
5 Writing to Understand Geometry
Preludep. 111
In Your Own Words: A Paraphrasing Activityp. 113
Method of Operationp. 117
Geometric Figure Description Activityp. 123
Crib Sheetsp. 127
Math Story Activityp. 131
Math Advertisementsp. 136
The Writing Is on the Wallp. 140
Creating a Math Mnemonicp. 142
Creation of Written Problemsp. 147
Geometric Concept Paragraphsp. 148
Biographies of Geometersp. 151
Experimenting-to-Learn-Geometry Reportsp. 155
Concept Mathp. 162
Learning Logsp. 166
6 Writing to Communicate Geometry
Preludep. 171
Writing Across Campusp. 172
Group Expositioonp. 174
Guided Math Poetryp. 178
Math Lettersp. 182
Geometer Profilingp. 186
Math Journalsp. 191
Mathematical Investigatorp. 199
7 Writing as Authentic Assessment
Preludep. 205
Muddiest Pointp. 206
Geometry Analogiesp. 209
One-Minute Summaryp. 212
Geometry as a Four-Letter Word!p. 215
E-Writingp. 217
Geometry Similes, Metaphors, and Analogiesp. 220
Targeted Problem-Solving Assessmentsp. 225
Self-Portrait as a Learner of Geometryp. 230
8 Writing for Assessment
Preludep. 235
Math Portfoliosp. 237
Math Essaysp. 241
Write Questionsp. 246
The Geometry of Tessellationsp. 249
Referencesp. 257