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9780205386444

Learning and Teaching K-8 Mathematics (with "Understanding Children's Mathematical Thinking" Video CD-ROM)

by ;
  • ISBN13:

    9780205386444

  • ISBN10:

    020538644X

  • Edition: CD
  • Format: Paperback
  • Copyright: 2005-01-01
  • Publisher: Allyn & Bacon
  • View Upgraded Edition
  • Purchase Benefits
List Price: $101.20
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Summary

This hands-on text takes an ACTIVE approach to teaching mathematics in grades K-8. Adult learners confirm they are grasping the mathematics by completing the activities embedded in each chapter. Future teachers gain invaluable insight into how children think about the learn math, and are thereby equipped with the skills to make sound instructional decisions.

Table of Contents

The basics
Introduction
How We Learn
Theories
Features
Role of the Teacher
Algebra Connections
Middle School Connections
Before we get started
A bit about the NCTM and the NCTM Standards
Technology Connectionsndash;The Basics
Classroom Connections
Box 0.1: Classroom Connections (Video enhanced)ndash;Understanding How Children Learn Math
Instruction
Models of Teaching
Problem Solving
Lesson plan components
Box 0.2: Classroom Connectionsndash;Providing Interactive Instruction
Questioning
Assessment
Box 0.3: Classroom Connections ndash;Using Assessment of Many Forms
Curriculum
Geometry and Spatial Thinking
Thinking about the Mathematics of Geometry and Spatial Thinking
Understanding The Mathematics--Mental Ideas v. Physical Models
Pulling Plane Knowledge from Solid Shapes
Accurate Descriptions
Analyzing a Circle
A Cylinder of a Circle?
Concentrating on the Concepts--Relationships among Shapes
Examples and Non-Examples
Rigid Motions
Symmetry
Box 1.1: Classroom Connectionsndash;Finding Symmetry in Nature
Practicing Spatial Visualizations
Box 1.2: Middle School Connectionsndash;The Net of a Solid Shape
Grasping the Proceduresndash;How to Build Shapes
Children Describe a Square
Drawing a Triangle
How We Learn About Geometry and Spatial Thinking
Using Relevant Learning Theoryndash;The Van Hiele Theory
Level 0 (Visual)
Level 1 (Analysis)
Level 2 (Informal Deduction)
Level 3 (Formal Deduction)
Level 4 (Rigor)
Characteristics of the Theory
Promoting Development
Table of Contents provided by Publisher. All Rights Reserved.

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