Mathematical Modeling Handbooks I, II, and III were prepared at Teacher College Columbia University and published by the Consortium for Mathematics and its Applications [COMAP] to support the Common Core State Standards in mathematical modeling. Each of the three handbooks focuses on a specific aspect of modeling implementation: modeling content, evaluation of modeling performance, and planning modeling instruction.
Mathematical Modeling Handbook III: Lesson Paradigms
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 illsuited 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 III
INTRODUCTION
Mathematical Modeling Lesson Planning,
Philosophy, and Execution
THE
DIFFERENTIATED STUDENT SOPHISTICATION PARADIGM
A NoviceApprenticeSkilledExpert Scale of
Modeling Competency
FOR THE BIRDS
ON SAFARI
A TOUR OF JAFFA
WATER DOWN THE DRAIN
THE
EXTERNAL INFORMATION SOURCES PARADIGM
Employing RealWorld Resources to Teach
Mathematical Modeling
NARROW CORRIDOR
SUNKEN TREASURE
BENDING STEEL
SUNRISE, SUNSET
THE
EXPERIMENTAL APPROACH PARADIGM
Cultivating Student and Teacher Creativity in
Mathematical Modeling
UNSTABLE TABLE
ESTIMATING TEMPERATURES
PACKER'S PUZZLE
PRESCIENT GRADING
About The Authors
