The Consortium for Mathematics and Its
Applications (COMAP). The organization to join
for modeling resources. Membership includes several free resources on mathematical
modeling and a fine magazine, Consortium. They produce excellent books,
texts, lessons, and videos.
Modeling Approach. Driscoll, Patrick and David Olwell. McGraw-Hill,
Boston, 1998. This text contains many interesting exercises and data
sets and does a fine job using the language of modeling and discussing modeling
habits. Chapter Three, "Modeling Concepts", is a valuable discussion
of modeling considerations.
For All Practical Purposes,
5th ed. COMAP. W. H. Freeman, New York, 1997. A superb text for introducing
students to the breadth of mathematics subjects and their real world application.
A wonderful video series accompanies the text (call Annenberg/CPB at 1-800-LEARNER
Metamagical Themas. Douglas Hofstadter. Basic Books. Incredible
essays on numeracy, default thinking, and the ubiquity of the prisoner's
dilemma as an explanation for societal problems.