Described is a "studio" procedure utilized at The University of Michigan for teaching mathematical modeling. (SL)

The purpose of this paper is to offer a framework for categorizing and describing the different types of processes that undergraduates use to construct proofs. Based on 176 observations of undergraduates constructing proofs collected over several studies, I describe three qualitatively different ways that undergraduates use to construct proofs. In…

This set of transparencies shows how the manipulation of combinatorial structures in the context of modern combinatorics can easily lead to interesting teaching and learning activities at every level of education from elementary school to university. The transparencies describe: (1) the importance and relations of combinatorics to science and…

This research brief highlights the role of mathematics in Advanced Technological Education (ATE) programs. In 1994, in response to an urgent national need for highly qualified technicians, the National Science Foundation established a major effort to support innovative programs in Advanced Technological Education, especially in the nation's…

A 3-year high school program based on functional mathematics (FM) benefits all students, regardless of career goals, by providing a strong background for students entering the workforce and for those moving directly into postsecondary education. A high school curriculum that helps all students master FM would effectively address issues of both…

This book shows students how to increase their power to analyze problems and comprehend what they read. First it outlines and illustrates methods that good problem solvers use in attacking complex ideas, then it provides practice in applying these methods to a variety of comprehension and reasoning questions. The "Whimbey Method" of teaching…

Illustrates a system of calculating dollar expenditures over periods of time in terms of present value. The system enables planners, school boards, and administrators to compare expenditure alternatives as a decisionmaking factor. (Author)

Discusses the use of a new approach, rather than quantum mechanics, to obtain practical solutions to bond energy problems. Indicates that the complex nature of mathematics and the small magnitude of bond energies involved in an approximation are two practical impossibilities for quantum mechanics to reach simple, reliable results. (CC)

Author intended to illustrate how mathematics could be used as a humanistic enterprise to convey knowledge and attitudes towards the world. (Author/RK)

The organization, presentation, and results of a mock adversary hearing on a topic involving the use of simple and complex statistics is described. The use of this format as a teaching technique for mathematics and statistics classes is discussed. (DT)

Author suggests criteria that can be weighted mathematically for computing comparable strengths and weaknesses in textbooks. (MB)