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| Acknowledgments | |
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| About the Authors | |
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| Introduction | |
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| A Glimpse at Mathematics Instruction | |
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| Two Illustrations | |
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| Algebra I-Shake Across America | |
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| Discussion | |
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| Adaptations and Extensions | |
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| Seventh Grade-Surface Area With Polydron Shapes | |
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| Discussion | |
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| Adaptations and Extensions | |
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| Success in Teaching Mathematics | |
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| Summary | |
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| Standards-Based Teaching | |
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| Why Do We Need Standards for Teaching Mathematics? | |
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| The National Council of Teachers of Mathematics (NCTM) Principles and Standards | |
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| State and District Standards for Teaching Mathematics | |
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| The Relationship Between Standards and Standards-Based Mathematics Textbooks | |
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| Aligning Algebraic Reading With the Process Standards | |
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| Summary | |
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| Engaging Students in Learning Mathematics | |
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| What Is Engagement? | |
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| Engaging Learners in the Affective Domain | |
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| Math Clubs | |
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| Seventh Grade-Math Jeopardy | |
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| Glasser's Five Basic Needs | |
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| Increasing a Student's Confidence in Mathematics | |
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| A Fresh Look at Math Clubs and Math Jeopardy | |
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| Affective Issues Related to Teaching and Learning Mathematics | |
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| Students Engaged in Learning Probability | |
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| Engaging Learners in the Behavioral Domain | |
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| Engaging Learners in the Cognitive Domain | |
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| Summary | |
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| Engagement Strategies for Special Populations | |
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| Disparate Learners in Algebra I | |
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| The Special Needs Learner | |
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| The Gifted Learner | |
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| The English Language Learner | |
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| Examples of Engaging Learners in a Mathematics Classroom | |
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| Permutations, Counting, and Ice Cream Cones | |
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| Discussion | |
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| Summary | |
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| Assessment | |
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| Types of Assessment | |
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| Rubrics | |
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| Developing Assessments: The Use of Backward Design | |
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| Grading and Assessment Schemes | |
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| Practical Ways of Assessing Throughout the Instructional Process | |
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| Tailoring Assessments for Special Populations | |
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| Data Driven Instructional Practices | |
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| A Word About Standardized Tests | |
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| Summary | |
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| Putting It All Together | |
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| The Year at a Glance: Designing Your Curriculum | |
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| Making Connections Within Mathematics | |
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| Mathematical Connections Across the Grades | |
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| More Connections Across the Grades | |
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| Making Connections Across the Curriculum | |
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| Succeeding at Teaching Mathematics-and Loving It! | |
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| Solutions to Shake Across America | |
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| Solution to the Following Problem From the Polydron Vignette | |
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| The Dart Board Game Solution | |
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| Generalization for Original Pizza Problem | |
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| References | |
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| Index | |