Preparing to Teach Mathematics with Technology: An Integrated Approach to Geometry / Edition 1

Preparing to Teach Mathematics with Technology: An Integrated Approach to Geometry / Edition 1

ISBN-10:
1465203869
ISBN-13:
9781465203861
Pub. Date:
06/11/2012
Publisher:
Kendall/Hunt Publishing Company
Preparing to Teach Mathematics with Technology: An Integrated Approach to Geometry / Edition 1

Preparing to Teach Mathematics with Technology: An Integrated Approach to Geometry / Edition 1

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Overview

Preparing to Teach Mathematics with Technology: An Integrated Approach to Geometry is the second in a series of textbooks prepared through research and development funded by the National Science Foundation at North Carolina State University. This textbook focuses on the teaching and learning of several foundational geometry topics amenable to the use of technology. Our approach integrates teachers’ learning of mathematical ideas, pedagogy, and technology skills in order to prepare teachers for the challenges of teaching with technology in mathematics classrooms. The technology tool used in the book is The Geometer's Sketchpad (version 5).

Each chapter contains information about issues of learning and teaching with technology, including some specific directions for skills needed in a technology. Some technology directions are also given along the left-hand border as “Tech Tips”. There are many opportunities for teachers to engage in doing geometry tasks with technology in questions labeled “Focusing on Content”, typically followed by opportunities to discuss specific pedagogical issues in the “Considerations for Teaching” questions. Throughout the book, there are video clips of students and teachers working with dynamic geometry tools and tasks. These clips provide several opportunities to discuss students' thinking and pedagogical decisions a teacher can make when using dynamic geometry tools in classrooms. Each chapter includes a bibliography of sources, a list of suggested articles for assigned readings, and several suggested homework assignments.

A companion website (ptmtdata.com) contains all technology resources needed to complete the materials. If you are an adopting instructor, please contact Katie Wendler at kwendler@kendallhunt.com for access.

A companion text, Preparing to Teach Mathematics with Technology: An Integrated Approach to Data Analysis and Probability, is also available.


Product Details

ISBN-13: 9781465203861
Publisher: Kendall/Hunt Publishing Company
Publication date: 06/11/2012
Edition description: 1
Pages: 1
Product dimensions: 8.80(w) x 10.90(h) x 0.40(d)

Table of Contents

INTRODUCTION - LEARNING TO TEACH MATHEMATICS WITH TECHNOLOGY THROUGH AN INTEGRATED APPROACH

CHAPTER 1 INTRODUCTION TO DYNAMIC GEOMETRY ENVIRONMENTS
Introduction
Section 1: What Is Geometry?
Section 2: Geometry and Representations
Section 3: Introduction to Dynamic Geometry Environments
Section 4: Exploring Invariances with a DGE
Section 5: Drawing versus Constructing
Bibliography
Suggested Readings
Suggested Assignments

CHAPTER 2 EXPLORING TRIANGLES
Introduction
Section 1: Investigating the Triangle Inequality Theorem
Section 2: Using Triangles to Solve Problems
Section 3: Exploring a Triangle Center and Creating Custom Tools
Section 4: Partitioning a Triangle
Bibliography
Suggested Readings
Suggested Assignments

CHAPTER 3 EXPLORING QUADRILATERALS
Introduction
Section 1: Defining in Geometry
Section 2: Constructing and Exploring Properties of Special Quadrilaterals
Section 3: Students’ Levels of Geometric Thinking
Section 4: Analyzing Students’ Geometric Thinking
Section 5: Solving Problems Involving Quadrilaterals
Section 6: Types of Tasks
Bibliography
Suggested Readings
Suggested Assignments

CHAPTER 4 GEOMETRIC TRANSFORMATIONS
Introduction
Section 1: Translations
Section 2: Reflections
Section 3: Rotations
Section 4: Considering Geometric Transformations as Functions
Section 5: Examining Students’ Thinking about Rotations and Functions
Section 6: Creating and Using Adjustable Angles in a DGE
Section 7: Animation
Section 8: Identifying Translations, Reflections, and Rotations by Examining Behaviors in a DGE
Bibliography
Suggested Readings
Suggested Assignments

CHAPTER 5 MATRIX REPRESENTATIONS AND COMPOSITIONS OF GEOMETRIC TRANSFORMATIONS
Introduction
Section 1: Using Matrices to Describe Translations
Section 2: Using Matrices to Describe Reflections
Section 3: Using Matrices to Describe Rotations
Section 4: Compositions of Geometric Transformations
Bibliography
Suggested Readings
Suggested Assignments

CHAPTER 6 SYMMETRY AND TESSELLATIONS
Introduction
Section 1: Reflective Symmetry
Section 2: Rotational Symmetry
Section 3: Tessellations
Bibliography
Suggested Readings
Suggested Assignments

CHAPTER 7 SIMILARITY
Introduction
Section 1: Describing Similar Figures
Section 2: Dilations
Section 3: Representing Dilations with Matrices
Section 4: Creating Designs with Dilations
Section 5: The Pythagorean Theorem
Section 6: Using Similarity to Solve Problems
Section 7: Fractals and Self-Similarity
Bibliography
Suggested Readings
Suggested Assignments

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