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Read a Sample Chapter
A Mathematical Passage
Strategies for Promoting Inquiry in Grades 4-6

David J. Whitin, Wayne State University, Robin Cox, South Carolina Reading Initiative

ISBN 978-0-325-00506-5 / 0-325-00506-0 / 2003 / 160pp / Paperback
Imprint: Heinemann
Availability: In Stock

Grade Level: 4-6

List Price: $19.00
Online Price: $15.20

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Description

If you're searching for practical answers to the challenge of inquiry while meeting the demands of covering the curriculum, look no further than A Mathematical Passage.

In this book, classroom teacher Robin Cox and university professor David Whitin tell how they devised strategies and activities to nurture the same kind of initiative, voice, and ownership in mathematics that children display in writing their own stories and choosing their own books to read. They offer a wealth of information for teachers who want to make a similar kind of passage toward inquiry in mathematics. Here you will find:

  • lesson plans that outline mathematical content and strategies, as well as important attitudes and dispositions
  • specific connections to NCTM's Principles and Standards for School Mathematics
  • detailed descriptions of ways to build a community of mathematical inquirers
  • strategies for developing and managing a math workshop
  • suggestions for encouraging children to be independent, responsible, and reflective decision makers
  • ways to use math journals to assess children's understandings
  • activities that promote interdisciplinary connections
  • strategies for using conversation to challenge, clarify, justify, and extend mathematical thinking
  • tips on communicating with parents
  • references to manipulatives, children's literature, and real-world applications
  • parallels between the work of children and the work of mathematicians, such as discovering patterns, developing hypotheses, posing and extending problems.
Better understand the nature of inquiry learning. Nurture its growth in your own classroom. See how key principles of learning are consistent across the curriculum. Read Whitin and Cox.

Table of Contents
    Introduction: Looking at the Beliefs in the Mathematics Community
    Chapter 1: Understanding the Classroom: An Interview with the Teacher
    Chapter 2: Mathematicians Keep Records and the Pose Their Own Problems
    The Investigation Begins
    Generating and Pursuing New Questions
    Reflecting on the Process
    What We Learned About the Process of Inquiry
    Going Beyond the Experience
    Chapter 3: Mathematicians Are Skeptics Who Go Beyond the Data
    The Investigation Begins
    Discussing Our Findings
    Skepticism Leads to Further Investigating
    Mathematicians Go Beyond the Data
    Mathematicians Create Their Own Language
    Going Beyond the Experience
    Chapter 4: Mathematicians Are Problem Solvers Who Invest Their Own Tools
    Starting the Investigation
    Generating and Pursuing New Questions
    The First Day: Examining the Potato and the Squash
    Developing Tools for Calculating the Area
    Testing Their Measuring Tools
    A Window into One Child’s Thinking
    Calculating the Area Using Water
    Using Clay to Determine Area
    Summarizing Our Findings
    Going Beyond the Experience
    Chapter 5: Mathematicians Discover Patterns and Relatioinships
    The Initial Investigation
    The First Conversation: Mathematicians Analyze Patterns and Develop Theories
    Teachers Are Vulnerable Too: Reflecting on What We Did Not Know
    Conjectures About Patterns Build a Sense of Community
    Children Reflect on the Conversation
    The Strength of Triangles: Mathematicians Connect Concepts to the Real World
    Building Structures on Their Own: Mathematicians Apply Their New Knowledge
    Children Reflect on Working Together
    Investigating the Strength of Structures
    Examining the Buildings of Others
    Reflecting on the Experience with Triangles
    Going Beyond the Experience
    Notes: Clarification from a University Colleague
    Chapter 6: Developing a Math Workshop
    Laying the Groundwork for the Math Workshop
    Pursuing Heartbeats, Deaths, and Nanoseconds
    Exploring the Largest Potato Chip and the Largest Stamp
    How Long Does It Take a Jet to Go Around the World?
    Investigating the Fort McHenry Flag
    Counting to One Million
    Other Math Workshop Explorations
    Teachers’ Reflections on Math Workshop: Benefits and Next Steps
    Children’s Reflections on the Benefits of Math Workshop
    Chapter 7: Reflections on Living a Mathematical Life
    A Conversation with Jason
    A Mathematician’s Bill of Rights
    References
Also Available From David J. Whitin
Books
Also Available From Robin Cox
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