Connecting Mathematical Ideas Middle School Video Cases to Support Teaching and Learning

ISBN-10: 0325006709
ISBN-13: 9780325006703
Edition: 2005
List price: $31.25 Buy it from $24.26
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Description: 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  More...

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Book details

List price: $31.25
Copyright year: 2005
Publisher: Heinemann
Publication date: 3/24/2005
Binding: Paperback
Pages: 144
Size: 7.50" wide x 9.50" long x 0.50" tall
Weight: 0.660
Language: English

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 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.

Opening the Door to My Classroom, Cathy Humphreys Building on Student Ideas
The Border Problem
Building Understanding of Algebraic Representation
The Border Problem
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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