ENGLISH

CREATING A LANGUAGE-RICH MATH CLASS strategies and activities for building conceptual... understanding.

By SANDRA L. ATKINS

Book information

Publisher
Routledge
Year
2021
ISBN
9781000461176, 1000461173, 9781000461244, 1000461246, 9781003175698, 1003175694
Language
english
Format
PDF
Filesize
3 MB (3308723 bytes)
Edition
2
Pages
\187
Time added
2021-10-11 07:36:34

Description

Cover Page Half Title Page Series Page Title Page Copyright Page Dedication Page Contents Support Material About the Author Acknowledgments Introduction: Language? It’s Mathematics! 1 What Are They Really Thinking? Determining the Meaning Kids Have for Terms 2 Investigating Symbolic Decoding vs. Conceptual Language 3 Understanding the Meaning of the Operations Division Partitive Division (Partitioning) Quotitive Division (Quotitioning) Multiplication Equal Grouping Model Array Model Area Model Scaling Subtraction Removal Comparison Difference as Distance Addition Joining Part-Part-Total 4 Tips for Creating a Language-Rich Math Class Consider Sitting Down Are You Sure? How Did You Get Your Answer? Don’t Be the Answer Key Ask a Question to Help Them Change Their Minds Think, Pair, Share—Tell Me What Your Partner Said Have Students Use Four Representations (Concrete, Pictorial, Verbal, Symbolic) Whenever Possible Conceptual Language vs. Symbolic Decoding Building and Using Language 5 The Power of the Forced Mute 6 Purposefully Choose and Use Materials Subitizing Ten-Frame Domino Match Increasing the Cognitive Demand of the Experience Combinations for Ten Using Materials to Build Conceptual Understandings 7 Purposefully Use Representations to Build the Language of Properties Associative Property Distributive Property 8 Changing the Order for Introducing Mathematical Language: Experience Then Name Experience First—A Look at Symmetry Area Investigations 9 Structuring Activities to Make Them Language Rich Tangram Communication Activity Memory- or Concentration-Type Activities 10 Building Precision and Flexibility in Using Mathematical Language 11 Introducing Mathematical Language as We Record Student Thinking Addition Subtraction 12 Making Sense of Word Problems: Developing Independent Problem Solvers Beware of Key Words Building Independent Problem Solvers Problem Solving Graphic Organizer The Word Problem Solving Process Sample Problem 1—Introducing the Process Sample Problem 2—Debriefing Problems Sample Problem 3—Don’t Let Your Past Interfere With the Students’ Problem Solving 13 The Importance of Writing in a Language-Rich Mathematics Class Impromptu Writing Prompts Activity Descriptions Important Characteristics Mathematical Concept Maps Conclusion: Give Students the Gift of Time Blackline Masters Ten-Frame Dominos Sample Concentration Game Cards Tangram Piece Master Sample Tangram Puzzles Sample “I Have . . . Who Has?” Cards Word Problem Graphic Organizer Sample Word Problems

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