Connecting Mathematical Ideas: Middle School Video Cases to Support Teaching and Learning / Edition 1

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Overview

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.

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Editorial Reviews

From the Publisher
“Where do content and pedagogy meet? They converge in these beautifully crafted cases of teaching - richly detailed, deeply interpreted, sensitively glossed, moving effortlessly between written and visual media. Mathematically sophisticated and pedagogically nuanced, these cases and their engaging elaborations fulfill the promise of a case-based pedagogy of teacher education and professional development. Jo Boaler and Cathy Humphreys model the exquisite collaboration between a scholar of practice and a scholarly practitioner.”–Lee S. Shulman, President, The Carnegie Foundation for the Advancement of Teaching
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Product Details

  • ISBN-13: 9780325006703
  • Publisher: Heinemann
  • Publication date: 3/24/2005
  • Edition description: BK&CD-ROM
  • Edition number: 1
  • Pages: 144
  • Sales rank: 310,166
  • Product dimensions: 7.40 (w) x 9.30 (h) x 0.37 (d)

Meet the Author

Jo Boaler is associate professor of Mathematics Education at Stanford University, where she researches the impact of different teaching approaches on learning, identity, and equity. She is a former president of the International Association of Women and Mathematics. Her Ph.D. and first book - Experiencing School Mathematics (2002)-won national awards in England. She lives with her husband and daughter in California.

Cathy Humphreys, teacher and Noyce Mathematics coach in California's Silicon Valley, has taught middle-school math for more than twenty years. She has been an instructor for Marilyn Burns Education Associates, a lecturer for preservice mathematics teachers at Stanford University, and is an instructor for the Mathematics Education Collaborative. Her current teaching and coaching focus is on helping low-attaining students build mathematical proficiency.

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Table of Contents

Opening the Door to My Classroom, Cathy Humphreys Building on Student Ideas: The Border Problem Part 1 Building Understanding of Algebraic Representation: The Border Problem Part 2 Defending Reasonableness: Division of Fractions Introducing the Notion of Proof Continuing Our Discussion of Proof: Convincing Others Class Participation: Through the Eyes of Students Volume: Extending Prior Knowledge Surface Area: Generating Geometric Formulas
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Sort by: Showing 1 Customer Reviews
  • Posted August 12, 2009

    more from this reviewer

    I Also Recommend:

    "Perfect for those Slightly Advanced-Needs lttle improvement wants to know students"

    I think this book is absolutely perfectfor students who are starting middle school, and already are very smart. They try to find a good textbook that can help them improve in those shied areas, and this one is perfect.

    Was this review helpful? Yes  No   Report this review
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