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Connecting Mathematical Ideas - With 2 CD's

Connecting Mathematical Ideas - With 2 CD's - 05 edition

ISBN13: 978-0325006703

Cover of Connecting Mathematical Ideas - With 2 CD
ISBN13: 978-0325006703
ISBN10: 0325006709
Cover type:
Edition: 05
Copyright: 2005
Publisher: Heinemann
Published: 2005
International: No
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Connecting Mathematical Ideas - With 2 CD's - 05 edition

ISBN13: 978-0325006703

Jo Boaler and Cathy Humphreys

ISBN13: 978-0325006703
ISBN10: 0325006709
Cover type:
Edition: 05
Copyright: 2005
Publisher: Heinemann
Published: 2005
International: No
Summary

In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In Connecting Mathematical Ideas, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry.

Connecting Mathematical Ideas contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint.

In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as:

  • How can I organize productive class discussions?
  • How do I ask questions that stimulate discussion and thought among my students?
  • What's the most effective way to encourage reticent class members to speak up?
  • What role should student errors play in my teaching?

Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within Connecting Mathematical Ideas and find new ways to help your students connect with math.

Table of Contents

1. Opening the Door to My Classroom, Cathy Humphreys

2. Building on Student Ideas: The Border Problem Part 1

3. Building Understanding of Algebraic Representation: The Border Problem Part 2

4. Defending Reasonableness: Division of Fractions

5. Introducing the Notion of Proof

6. Continuing Our Discussion of Proof: Convincing Others

7. Class Participation: Through the Eyes of Students

8. Volume: Extending Prior Knowledge

9. Surface Area: Generating Geometric Formulas

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