Teaching and Learning Middle Grades Mathematics

ISBN-10: 0470413506

ISBN-13: 9780470413500

Edition: 2004

List price: $167.95
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Description: Transitioning between two worlds, students in the middle grades (4-9) are no longer elementary students but are not quite ready for the challenges of secondary school. The state departments of education are beginning to recognize that the preparation of teachers for these students must change. Teaching and Learning Middle Grades Mathematics is the ideal text for future teachers who are completing their pre-service instruction. Through readings, lessons, sample middle grades exercises, and more, future teachers learn to address the teaching and learning of algebraic and geometric thinking at the level appropriate for middle grades students. The lessons in this text follow a popular collaborative teaching method used in middle schools called Launch, Explore, Share and Summarize that involves very little lecturing, a lot of group work, and class discussions. Teaching and Learning Middle Grades Mathematics will serve as a life long resources to students, as each lesson is filled with student pages which are worksheets that can be modified for use in actual middle grades classrooms. The text comes packaged with a CD-ROM that will be a valuable resource, containing professional readings that correlate directly to the lessons in the text.

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Book details

List price: $167.95
Copyright year: 2004
Publisher: John Wiley & Sons, Incorporated
Publication date: 6/16/2008
Binding: Paperback
Pages: 326
Size: 8.50" wide x 10.50" long x 0.50" tall
Weight: 1.782
Language: English

Annotated Contents
Preface and Acknowledgments
Course Introduction
Introductory Lesson
Mathematics Education: Where Do I Stand?
Getting to Know Colleagues: Uniquely Us
A Learning Community
Mathematics Strand: Reasoning with Patterns and Algebra
Figurate Numbers
Preparing to Interview Students about Reasoning with Patterns
Problem Solving: Careful Counting
Reasoning and Proof: Patterns and Multiplication
Generalizing from Patterns: The Concept of Variable
Using Experiments: Exploring Graphs and Lines
Learning with Materials: Integers and Equations
Using Contexts: Functions
Using Interviews to Understand Students' Reasoning with Patterns
Synthesizing Unit One
The Learning of Mathematics
Mathematics Strand: Rational Numbers and their Uses
Unit Two Investigation: Four Fours
Preparing to Interview Students about Proportional Reasoning
Using Multiple Representations: Rational Numbers
Using Learning Theory: Fractions, Decimals, and Percents
Developing Meanings of Operations: Addition and Subtraction
Developing Meanings of Operations: Multiplication and Division
Analyzing Student Thinking: Proportional Reasoning
Using Interviews to Understand Students' Proportional Reasoning
Synthesizing Unit Two
Planning and Instruction
Mathematics Strand: Geometry, Measurement, and Transformations
Unit Three Investigation: Historical Formulas
Preparing to Interview Students about Perimeter and Area
Identifying Worthwhile Mathematical Tasks: Measurement Formulas
Lesson Planning: Proportions among Measures in Similar Figures
Guided Discovery: Quadrilaterals
Open-Ended Exploration: Tessellations
Integrating Direct Instruction with Guided Discovery: Transformations
Effective Classroom Discourse: The Pythagorean Theorem
Using Interviews to Plan Instruction on Perimeter and Area
Synthesizing Unit Three
Mathematics Strand: Data Analysis and Probability
Unit Four Investigation: Pascal's Triangle
Preparing to Interview Students about Their Views on Assessment
Multiple Uses of Assessment: Categorical and Discrete Data
Assessment That Highlights Students' Thinking: Continuous Data
Managing and Grading Every Day: Introduction to Probability
Rubrics and Their Uses: Systematic Counts for Probabilities
Issues in Developing and Using Tests
Using Interviews to Develop a Classroom Assessment Plan
Synthesizing Unit Four
Collaborating with Educational Partners
Preparing to Interview Educational Partners
Curriculum Integration
Facilitating Educational Growth
Evaluating Curriculum Materials
Using Interviews to Prepare for Educational Collaboration
Synthesizing Unit Five
References and Permissions
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