Table of Contents

Foreword

Chapter 1 Introduction: Modeling with Mathematics

• What is Mathematical Modeling?
• The Process of Modeling?
• Why Modeling?
• Mathematical Autonomy

Chapter 2 Rich Mathematical Modeling Tasks

• Characteristics of Rich Modeling Tasks
• Word Problems versus Modeling Tasks
• Finding Rich Mathematical Modeling Tasks

Chapter 3  Investigation and Problem Identification

• Getting Started: Student Autonomy
• The Teacher's Role
• More Problem Identification: Old MacDonald's Farm
• 1000 Paper Cranes: Getting Started

Chapter 4 Mathematical Formulation of the Model, Data Collection, and Finding a Solution

• Formulating a Model
• Multiple Representations
• The 1000 Cranes Problem: Formulating the Model and Collecting Data
• Conclusion

Chapter 5 Interpreting the Solution and Comparing with Reality

• The Importance of Interpretation
• Interpreting the Solution
• Examples of Students Interpreting Solutions
• Conclusion

Chapter 6 Communicating and Implementing the Solution

• Communicating the Solution
• Multiple Representations
• Implementing the Solution
• 1000 Cranes Work

Chapter 7 Assessment of Mathematical Modeling

• Goals of Assessment
• Informal Assessment
• Formal Assessments

Chapter 8 Conclusion