Math Expressions: Developing Student Thinking And Problem Solving Through Communication

Paperback | January 15, 2012

byCathy Marks Krpan

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Research is clear: communication is an essential mathematical process. This book provides all the tools to make communication come alive and to ensure the classroom is a vibrant, collaborative learning environment. Centred around three main sections–Mathematical Discourse, Reading in Mathematics, and Writing in Mathematics–Dr. Cathy Marks Krpan provides practical suggestions on how to create such an environment.
Each section includes:

  • What the Research Says
  • Collaborative Skills and Structures
  • Teaching Strategies
  • Assessment Tips
  • Supports for English Language Learners
  • Canadian Student Samples with modelled Teacher Feedback
  • Line Masters and a Companion Website 

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From the Publisher

Research is clear: communication is an essential mathematical process. This book provides all the tools to make communication come alive and to ensure the classroom is a vibrant, collaborative learning environment. Centred around three main sections–Mathematical Discourse, Reading in Mathematics, and Writing in Mathematics–Dr. Cathy Ma...

Cathy Marks Krpan, Ph.D. teaches courses in the Initial Teacher Education Program and graduate program at the Ontario Institute for the Studies in Education (OISE) of the University of Toronto. Cathy is passionate about seeing students learn—all students! And at the core of this passion lies a deep belief in the power of communication ...
Format:PaperbackDimensions:174 pages, 10.79 × 8.19 × 0.39 inPublished:January 15, 2012Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0321756150

ISBN - 13:9780321756152

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Extra Content

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
       Defining 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