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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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| Why Do Students Struggle with Mathematics? | |
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| How Is Mathematics Taught Effectively for All Students? | |
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| Place Value | |
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| The Impact of Place Value on Mathematics | |
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| Why Do Students Struggle with Place Value? | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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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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| 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: Caitlin | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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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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| 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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| 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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| 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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| Problem Solving | |
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| What Is Problem Solving? | |
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| Why Do Students Struggle with Solving Problems? | |
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| Improving Students' Problem-Solving Ability | |
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| Learning to Solve Problems | |
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| Suggested Lesson Plan Structure | |
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| Time and Money | |
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| Time and Money as Measurement Topics | |
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| Why Do Students Struggle with Learning About Time and Money? | |
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| About the Student: Sarah | |
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| Error Patterns: Diagnosis, Prescription, Remediation | |
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| Appendix A | |
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| Appendix B | |
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| Index | |