Table of Contents
Introduction
A Culture of Mathematical Expression
Communication: The Critical Piece for Student Success
Challenges at Face Math Educators
Becoming a Facilitator of Mathematical Expression
Infusing Communication into Mathematics
Supporting Learners with Math Anxiety
Supporting Learners Who Struggle in Mathematics
Supporting English Language Learners
Three-Part Problem-Solving Lesson: A Structure for Communication and Investigations
Minds On/Getting Started
Working on It/Action
Consolidation/Re ecting and Connecting
Assessing Math Learning
Using Descriptive Feedback to Promote Strong Communication and Problem-Solving Skills
Chapter 1
A Culture of Collaboration and Inquiry
Indicators of Success
What the Research Says About Cooperative Learning
Elements of the Cooperative Learning Experience
Teaching Social Processes: Equity for All Learners
Positive Interdependence and a Common Goal
Individual Accountability
Face-to-Face Interactions
Facilitating Cooperative Learning
Cooperative Groupings
Assigning Group Roles
Promoting Equity
Assessing Cooperative Learning
Cooperative Learning Structures
Think-Pair-Share
Placemat
Three Stay, One Stray
Gallery Walk
Inside-Outside Circle
Chapter 2
Mathematical Discourse
Indicators of Success
What the Research Says About Mathematical Discourse
Assessing Mathematical Discourse
Facilitating Mathematical Discourse
Creating a Culture of Meaningful Talk
Encouraging Complex Discourse
E ffective Questioning
Supporting English Language Learners
Wait Time
Mathematical Discourse: Skills and Structures
Conversational Skills
Talk Prompts
Teaching Strategies
Pattern Block Talk
Clipboard Walk and Talk
It Is and It Isn’t
Concept Attainment
Mathematical Clothesline
Wanted Number
Math Congress
Bansho
Chapter 3
Reading in Mathematics
Indicators of Success
What the Research Says About Reading in Mathematics
Assessing Reading in Mathematics
Facilitating Reading in Mathematics
Infusing Reading into Your Math Program
Supporting English Language Learners
Supporting Readers Who Struggle
Building a Mathematical Word Wall
Using Mathematical Picture Books
Reading in Mathematics: Skills and Structures
Key Reading Strategies
Reading Word Problems
Reading Mathematical Symbols
Teaching Strategies
Picture Book Read-Aloud
Visualizing Mathematical Text
Mathematical Text Paraphrasing
Mathematical Text Sorting
What’s the Problem?
Show Me the Math!
Mathematical Glyphs
Mathematical Recipes
Chapter 4
Writing in Mathematics
Indicators of Success
What the Research Says About Writing in Mathematics
Assessing Mathematical Writing
Facilitating Mathematical Writing
Classroom Organization
Supporting English Language Learners
Encouraging the Use of Pictures
Modelling the Writing Process
Mathematical Writing: Skills and Structures
Cooperative Writing
Graphic Organizers
Teaching Strategies
Affective Writing Explorations
My Best Math Moment
De fining a Mathematical Term or Concept
Lesson Feedback
Exploring Mathematical Proofs
Lateral- Thinking Explorations
Lateral-Thinking with Pictures
Recording Mathematical Discoveries
Exploring Concept Circles
Exploring Mind Maps
Exploring Concept Maps
Mapping Your Learning
Math on the Back
Line Masters
References
Index