The shared hope and vision of the Consortium for Mathematics and its Applications (COMAP) and the Society for Industrial and Applied Mathematics (SIAM) is that this report motivates the educational community to make a place for mathematical modeling in curriculum, from pre-K through undergraduate levels. Further, that the value and importance of the skills required to execute math modeling effectively - logical thinking, problem solving, sensitivity analysis, and communication to name a few - are recognized and nurtured.
Our primary audience is you the teacher. While we hope that test and policy makers will read this document and use it in their decision-making, it has been written for the front-line teacher. We hope and intend that these guidelines will be of help as you incorporate the practice of mathematical modeling into your classrooms.
A major reason for the creation of GAIMME was the fact that, despite the usefulness and value in demonstrating how mathematics can help analyze and guide decision making for real world messy problems, many people have limited experience with math modeling. We wanted to paint a clearer picture of mathematical modeling (what it is and what it isn't) as a process and how the teaching of that process can mature as students move through the grade bands, independent of the mathematical knowledge they may bring to bear.
CHAPTER 1 WHAT IS MATHEMATICAL MODELING?
CHAPTER 2 MATHEMATICAL MODELING IN THE EARLY GRADES: PREKINDERGARTEN THROUGH GRADE 8
CHAPTER 3 MATHEMATICAL MODELING IN HIGH SCHOOL: GRADES 9 THROUGH 12
CHAPTER 4 MATHEMATICAL MODELING AT THE UNDERGRADUATE LEVEL
CHAPTER 5 WHAT IS MATHEMATICAL MODELING, THE ART AND FLAVOR
APPENDIX A MATHEMATICAL MODELING RESOURCES
APPENDIX B MODELING EXAMPLES, ELEMENTARY AND MIDDLE GRADES
APPENDIX C EXTENDED EXAMPLES
APPENDIX D ASSESSMENT TOOLS