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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
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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.

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

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Email planningservices@heinemann.com if you would like to contact David J. Whitin directly about professional development support.

Email planningservices@heinemann.com if you would like to contact Robin Cox directly about professional development support.

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