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Reading and Writing to Learn Mathematics: A Guide and a Resource Book

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Reading and Writing to Learn Mathematics responds directly to changing patterns of discourse in the mathematics classroom. The book shows how to teach math using writing and reading lessons and activities in accordance with NCTM standard #2, math-as-communication, which makes ideas clearer by placing complex mathematics concepts in meaningful contexts and helps the student make the transition to mathematical language. KEY TOPICS: Writing to learn mathematics enhances the development of effective problem-solving strategies and inductive reasoning; promotes metacognition; and facilitates assessment by documenting the problem-solving process. Reading to learn mathematics helps break down barriers between mathematics learning and learning across the curriculum. As children become better math readers, they develop cognitive structures and contexts for processes and procedures. This book includes classroom examples, lessons, activities, and stories for teachers to show how everyday language skills can transfer to math learning. The authors illustrate how to make writing a meaningful part of cognitive as well as affective development, how to use reading and writing in assessment of math sills and how to make reading-math assignments more meaningful. This book emphasizes practical, innovative ideas for integrating reading and writing into the K-6 mathematics curriculum. MARKET: For K-6 preservice and inservice teachers who wish to incorporate writing and reading more effectively into their math curriculum.

Table of Contents



Introduction.

Writing and Mathematics.

Writing and the Cognitive Domain of Mathematics Learning.

Writing and the Affective Domain of Mathematics Learning.

Writing and Assessment of Mathematics Performance.

Reading and Mathematics.

Reading Mathematics in Ordinary Language and Mathematical Language.

Reading about Mathematics in Stories, the Media, and Literature.

Writing and Reading to Learn Mathematics.



1.Writing and Reading Mathematics.

Ordinary Language, Mathematical Language, and “Math Speak.”

Process Log.

Summaries and Explanations.

Investigative Reports.

Reading Mathematics in Ordinary Language.

Reading Aloud, Reading Along, and Reading Alone.

Reading/Writing Connections.

Math Readings: Difficult Concepts Explained in Ordinary Language.



2.Reading and Writing Math Stories.

Open-Ended Stories.

Chart: Learning with Math Stories by Grade Level.

Reading/Writing Connections.

More Math Stories and Activities.



3.Reading and Writing about Mathematics.

The 6R's and 4W's.

Reading about Mathematics in History.

Reading about Math-Heroes.

Finding Mathematics in Literature.

Reading about Mathematics in Science.

Finding Mathematics in Today's World.

Reading/Writing Connections.

More readings about Mathematics.

Lewis Carroll, from, The Hunting of the Shark.

Edwin A. Abbott, Adapted from, Flatland: a Romance of Many Dimensions.

Jules Verne, Adapted from, The Mysterious Island.

Henry David Thoreau, Adapted from, Walden.

Jean Conrad, from, Golden Gates.

Dell J. McCormick, from, Paul Bunyan Swings His Axe.

Activities, Leonhard Euler.

Activities, Mrs. Wendt, My Best Math Teacher.

Louisa M. Alcott, Adapted from, Little Men.

Activities, Space Station to Nowhere.

Lewis Carroll, from, Through the Looking Glass.



4.Reading the Newspaper as a Mathematics Text.

Activities.

Math in the News Chart.

Finding Mathematics in “Hard” News.

Finding Mathematics in “Soft” News.

Finding Mathematics in Sports.

Finding Mathematics about Children in the Financial Pages.

Finding Mathematics in Home Pages.

Finding Mathematics in the Ads and Classifieds.

Finding Mathematics in the Comics.

Finding Mathematics in the Weather Report.

Guidelines for Studying Newspaper Mathematics.

Reading/Writing Connections.



5.Math News.

Writing Personal and Private Math Journalism.

Becoming a Math-Learning Journalist.

Keeping a Personal Math-Learning Journal.

Using the Journal.

Math Journal Assignments.

Reading/Writing Connections.

101 Math Journalism Activities/Topics for Journal Entries.



6.Assessing Mathematics Learning with Reading and Writing Assignments.

Assessment as a Multidimensional Process.

Multiple Measures for Multi-Dimensions.

Quantitative and Qualitative Assessment: Where Reading and Writing Fit into Evaluation.

Self-Assessment: Knowing and Knowing That You Know.

Teresa's Problem Solving.

Teacher Activities.

Evaluation of Writing Activity: Achilles and Tortilla.

Assessment to Shape instead of Rank.



Appendix A.

Teaching Mathematics with Reading and Writing to Students with Special Needs.

Appendix B.

Books and Reading for Children.

Books and Readings for Teachers.

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