# Mathematical Modeling Handbook III: Lesson Paradigms

### Author: Various

The authors of Handbook III approached the planning of mathematical modeling lessons with a broader brush than is customary for more commonplace topics from algebra and geometry. Traditional planning templates may be ill-suited to modeling instruction since the same modeling topic could be approached from many directions depending upon the capabilities of the students and the knowledge of the teacher. For example, the module entitled Unstable Table could be approached from an experimental standpoint with an actual table on an uneven floor or from a sophisticated, three dimensional geometric point of view.

**TABLE OF CONTENTS**

**PREFACE**

Mathematical Modeling Handbook Ill

Bruce R. Vogeli, Editor

**INTRODUCTION**

Mathematical Modeling Lesson Planning, Philosophy, and Execution

Rita Borromeo Ferri, University of Kassel, Germany

**THE DIFFERENTIATED STUDENT SOPHISTICATION PARADIGM**

A Novice-Apprentice-Skilled-Expert Scale of Modeling Competency

Andrew Sanfratello, Borough of Manhattan Community College

1. For the Birds

2. OnSafari

3. A Tour of Jaffa

4. Water Down the Drain

**THE EXTERNAL INFORMATION SOURCES PARADIGM**

Employing Real-World Resources to Teach Mathematical Modeling

Christopher J. Huson, Bronx Early College Academy

5. Narrow Corridor

6. Sunken Treasure

7. Bending Steel

8. Sunrise, Sunset

**THE EXPERIMENTAL APPROACH PARADIGM**

Cultivating Student and Teacher Creativity in Mathematical Modeling

Luke Rawlings, City College of New York

9. Unstable Table

10. Estimating Temperatures

11. Packer's Puzzle

12. Prescient Grading

**ABOUT THE AUTHORS**

#### Mathematics Topics:

#### Application Areas:

#### Prerequisites:

You must have a **Full Membership** to download this resource.

If you're already a member, **login here**.