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Five Easy Steps to a Balanced Math Program for Secondary Grades

by: Ainsworth, Larry

Five Easy Steps to a Balanced Math Program for Secondary Grades

by: Ainsworth, Larry

ISBN 13:
9781933196244
ISBN 10:
1933196246
Format: Paperback
Copyright: 01/31/2007
Publisher: Lead + Learn Pr

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Summary

Five Easy Steps to a Balanced Math Program is a method for educators to use the texts and tools that they currently have to create a math instruction program that will create powerfully math literate students.

Acknowledgments

xiii

About the Authors

Introduction

xix

The Need for a Balanced Math Program

xix

Designing the Balanced Math Program

xxiv

Organization of This Book

xxvi

As We Begin

xxvii

PART ONE THE FIVE EASY STEPS

(132)

Step 1: Computational Skills (Math Review and Mental Math)

(26)

Essential Questions

(1)

Rationale

(1)

Description of Step 1: Math Review Component

(10)

A Deliberate Selection of Problems

(1)

The Middle School Challenge

(1)

The Math Review Template

(1)

The Teacher's Role During Math Review

(1)

Processing Math Review

(1)

Other Important Ways to Process Math Review

(4)

Assessment: The Math Review Quiz

(1)

Essential Questions

(1)

Rationale

(7)

The Math Review Quiz

(1)

A Sample Math Review Quiz

(1)

Scoring the Math Review Quiz

(1)

Math Review Quiz Self-Reflection

(1)

Tutors and Tutees

(1)

The Home Connection and Extra Practice

(1)

Benefits of the Math Review Quiz

(1)

Differentiation

(2)

Description of Step 1: Mental Math Component

(1)

Essential Questions

(1)

Rationale

(4)

How to Implement Mental Math

(3)

Mental Math Benefits

(1)

Reader's Assignment

(2)

Step 2: Problem Solving

(46)

Essential Questions

(1)

Rationale

(2)

Description of Step 2

(18)

Selecting the Problem-Solving Task

(2)

Teaching Students to Solve the Problem-Solving Task

(6)

Problem-Solving Strategies

(1)

Problem-Solving Steps for Secondary Students

(2)

An Investment of Time

(5)

Suggested Problem-Solving Sequence for Secondary Students

(2)

Differentiation

(14)

The Alternative Problem-Solving Method

(5)

The Teacher's Role in the Alternative Method

(5)

The Time Factor

(1)

Student Benefits

(2)

Formally Assessing Problem Solving

(10)

Creating a Problem-Solving Rubric

(2)

How to Design the Problem-Solving Rubric

(5)

A Feedback Tool for Revision

(1)

Weighting and Grading Issues

(1)

Using the Rubric to Assess

(1)

Benefits of the Problem-Solving and Rubric Assessment Process

(1)

Reader's Assignment

(2)

Step 3: Conceptual Understanding

(26)

Essential Questions

(1)

Definitions

(1)

Rationale

(1)

The Conceptual Understanding Unit of Study

(1)

Designing a Conceptual Unit

(14)

The Value of Planning a Unit Collaboratively

(12)

Secondary Example of Conceptual Unit Planning

(2)

Other Considerations

(1)

The Knowledge Package Process

(3)

Differentiation and Vocabulary Development

(2)

Reader's Assignment

100

(1)

Step 4: Mastery of Math Facts

101

(16)

Essential Questions

101

(1)

Rationale

101

(1)

Implementing Step 4

102

(7)

Emphasize Patterns

102

(2)

Determine Grade-Appropriate Facts

104

(1)

Inform Parents at Beginning of Year

105

(1)

Establish Timeline to Assess Progress

106

(1)

Assess What Students Presently Know

106

(1)

Provide Daily Practice Materials

107

(1)

Math Review and Mental Math

108

(1)

A Simple Management System

109

(1)

Helping Students Handle Time Pressure

109

(5)

When It Is Time to Start Assessing

111

(1)

Assessment Day

111

(1)

Scoring, Collecting, and Recording Results

112

(1)

Extra Practice Required

113

(1)

Reassessing

113

(1)

Differentiation: Strategies for Struggling Students

114

(1)

Summing Up

115

(1)

Reader's Assignment

116

(1)

Step 5: Common Formative Assessment

117

(16)

Essential Questions

117

(1)

Overview

117

(1)

Rationale

118

(1)

Power Standards

119

(2)

Vertical Alignment

121

(3)

Beginning with the End in Mind

124

(1)

Designing the Common Formative Assessment

124

(3)

The Implementation Sequence

125

(2)

The Big Picture---How All the Practices Connect

127

(3)

Implementation

130

(1)

Benefits

131

(1)

Reader's Assignment

132

(1)

PART TWO INSIDE THE SECONDARY CLASSROOM

133

(46)

Inside the Grade 6 Classroom

135

(14)

Step 1 Sixth-Grade Computational Skills (Math Review and Mental Math)

135

(6)

The Math Review Template

135

(4)

The Math Review Quiz

139

(1)

Mental Math

139

(2)

Step 2 Sixth-Grade Problem Solving

141

(2)

Sample Grade 6 Problem-Solving Task

141

(2)

Step 3 Sixth-Grade Conceptual Understanding

143

(4)

Step 4 Sixth-Grade Mastery of Math Facts

147

(1)

Step 5 Common Formative Assessment

148

(1)

Inside the Grade 7 and Grade 8 Classrooms

149

(16)

Step 1 Seventh- and Eighth-Grade Computational Skills (Math Review and Mental Math)

149

(6)

The Math Review Template

149

(4)

The Math Review Quiz

153

(1)

Mental Math

154

(1)

Step 2 Seventh- and Eighth-Grade Problem Solving

155

(4)

Sample Grades 7 and 8 Problem-Solving Task

155

(4)

Step 3 Seventh- and Eighth-Grade Conceptual Understanding

159

(3)

Step 4 Seventh- and Eighth-Grade Mastery of Math Facts

162

(1)

Step 5 Common Formative Assessment

163

(2)

Inside the High School Classroom

165

(14)

Step 1 Computational Skills (Math Review and Mental Math) for Grades 9 and 10

165

(6)

The Math Review Template

165

(4)

The Math Review Quiz

169

(1)

Mental Math

170

(1)

Step 2 High School Problem Solving

171

(2)

Sample High School Problem-Solving Task

171

(2)

Step 3 High School Conceptual Understanding

173

(3)

Step 4 High School Mastery of Math Facts

176

(1)

Step 5 Common Formative Assessment

177

(2)

PART THREE RESOURCES FOR IMPLEMENTATION

179

(52)

Putting It All Together: Time Management and Frequently Asked Questions

181

(28)

Part 1 Time Management

181

(5)

Daily Math Schedule for Secondary Grades

182

(4)

Part 2 Frequently Asked Questions

186

(21)

Step 1: Computational Skills (Math Review and Mental Math)

186

(8)

Step 2: Problem Solving

194

(4)

Step 3: Conceptual Understanding

198

(6)

Step 4: Mastery of Math Facts

204

(3)

Closing Thoughts

207

(2)

Guidelines for School Leaders

209

(22)

Executive Summary

209

(5)

Math Leadership Team Planning Questions

214

(4)

Alignment Diagram

218

(2)

A Framework for Implementation

220

(11)

Reproducibles

231

(40)

References and Other Resources

271

(10)

References

271

(3)

Webliography of Online Math

274

(5)

Amazon no longer offers textbook rentals. We do!

Five Easy Steps to a Balanced Math Program for Secondary Grades

Five Easy Steps to a Balanced Math Program for Secondary Grades

9781933196244

1933196246

Summary

Table of Contents

Supplemental Materials

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