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| The Dissimilar Learner and Mathematics Instruction | |
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| A Problem and a Solution | |
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| The Learner-Centered Approach | |
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| Systematic Instruction | |
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| Why Do Students Struggle with Mathematics? | |
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| Environmental Factors | |
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| Personal or Individualized Factors | |
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| How Is Mathematics Taught Effectively for All Students? | |
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| Developing Mathematics Proficiency | |
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| Valuing Mathematics | |
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| Meeting Standards for Dissimilar Learners | |
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| Identifying and Meeting the Needs of Dissimilar Learners | |
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| Conclusions | |
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| Discussion Questions | |
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| Bibliography | |
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| Place Value | |
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| The Impact of Place Value on Mathematics | |
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| What Is Place Value? | |
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| Why Do Students Struggle with Place Value? | |
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| Common Errors | |
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| Conceptual and Procedural Errors | |
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| About the Student: Colin | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Place Value Error Pattern I for Colin | |
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| Place Value Error Pattern II for Colin | |
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| Place Value Error Pattern III for Colin | |
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| Conclusions: Instructional Strategies Summary | |
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| Instructional Activities | |
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| Discussion Questions | |
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| Bibliography | |
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| Addition of Whole Numbers | |
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| What Is Addition? | |
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| What Should Students Understand About Addition? | |
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| About the Student: Ian | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Addition Error Pattern I for Ian | |
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| Addition Error Pattern II for Ian | |
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| Addition Error Pattern III for Ian | |
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| Conclusions: Instructional Strategies Summary | |
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| Instructional Activities | |
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| Discussion Questions | |
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| Bibliography | |
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| Subtraction of Whole Numbers | |
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| What Is Subtraction? | |
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| What Should Students Understand About Subtraction? | |
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| About the Student: Ernestine | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Subtraction Error Pattern I for Ernestine | |
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| Subtraction Error Pattern II for Ernestine | |
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| Subtraction Error Pattern III for Ernestine | |
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| Conclusions: Instructional Strategies Summary | |
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| Instructional Activities | |
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| Discussion Questions | |
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| Bibliography | |
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| Multiplication | |
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| What Is Multiplication? | |
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| What Should Students Understand About Multiplication? | |
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| About the Student: Alberto | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Multiplication Error Pattern I for Alberto | |
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| Multiplication Error Pattern II for Alberto | |
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| Multiplication Error Pattern III for Alberto | |
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| Conclusions: Instructional Strategies Summary | |
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| Instructional Activities | |
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| Discussion Questions | |
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| Bibliography | |
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| Division | |
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| What Is Division? | |
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| What Should Students Understand About Division? | |
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| About the Student: Marie | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Division Error Pattern I for Marie | |
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| Division Error Pattern II for Marie | |
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| Division Error Pattern III for Marie | |
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| Conclusions: Instructional Strategies Summary | |
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| Instructional Activities | |
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| Discussion Questions | |
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| Bibliography | |
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| Rational Numbers | |
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| What Are Rational Numbers? | |
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| Why Do Students Struggle with Rational Numbers? | |
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| About the Student: Tawana | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Rational Number Error Pattern I for Tawana | |
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| Rational Number Error Pattern II for Tawana | |
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| Rational Number Error Pattern III for Tawana | |
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| Rational Number Error Pattern IV for Tawana | |
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| Rational Number Error Pattern V for Tawana | |
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| Conclusions: Instructional Strategies Summary | |
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| Instructional Activities | |
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| Discussion Questions | |
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| Bibliography | |
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| Decimal Fractions | |
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| What Are Decimals? | |
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| Why Do Students Struggle with Decimals? | |
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| About the Student: Jose | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Decimal Error Pattern I for Jose | |
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| Decimal Error Pattern II for Jose | |
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| Decimal Error Pattern III for Jose | |
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| Decimal Error Pattern IV for Jose | |
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| Decimal Error Pattern V for Jose | |
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| Conclusions: Instructional Strategies Summary | |
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| Instructional Activities | |
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| Discussion Questions | |
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| Bibliography | |
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| Problem Solving | |
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| What Is Problem Solving? | |
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| What Does Problem Solving Involve? | |
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| Types of Problems | |
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| Using Heuristics | |
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| Why Do Students Struggle with Solving Problems? | |
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| Literacy Issues | |
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| Number Sense Issues | |
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| Instructional Issues | |
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| Improving Students' Problem-Solving Ability | |
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| Instructional Strategies | |
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| Learning to Solve Problems | |
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| Problem Solving: Step by Step | |
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| Suggested Lesson Plan Structure | |
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| Conclusions: Instructional Strategies Summary | |
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| Discussion Questions | |
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| Bibliography | |
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| Sample DAS and MIP Tables | |
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| Suggestions for Planning Academic Content Lessons | |
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| Index | |