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

by Jo Boaler, Cathleen Humphreys, Deborah Loewenberg Ball

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.

Product Details

ISBN-13:	9780325006703
Publisher:	Heinemann
Publication date:	03/24/2005
Edition description:	BK&CD-ROM
Pages:	144
Product dimensions:	7.40(w) x 9.30(h) x 0.37(d)
Age Range:	11 - 13 Years

About 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.

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

Editorial Reviews

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

From the Publisher