A way to use tongue depressors in a model of multiplication is presented. The original intent was to use the sticks to teach about fractions, but "mistakes" in student responses led to new ideas. It is felt that teachers should use the model in teaching multiplication. (MP)

The mathematics of an educational game commonly known as "Frogs" is analyzed to see different mathematical concepts imbedded in it. (MP)

Some activities designed around the Monte Carlo method of solving probability problems are described. The instructional applications of this method involve physical models or simple BASIC computer programs. (MP)

The use of saltine crackers to illustrate whole numbers, decimal fractions, common fractions, percents, money, and other mathematical concepts is reviewed. (MP)

Presents a mathematical model that will help students explore concepts related to population growth such as doubling time, replacement level and zero population growth. (Auth/WB)

The Core-Plus Mathematics Project (CPMP) is a four-year program emphasizing mathematical modeling, featuring full use of graphing calculators, building on the theme of mathematics as sense-making, and involving investigations of real-life contexts that lead to reinventing important mathematics. (MKR)

Presents activities in which students study exponential growth and decay by collecting data, constructing graphs, and discovering algebraic formulas. (MKR)

Uses probability models in problem-solving activities based on an episode of the television show "Gunsmoke." (MKR)

A study documented 10 college students' understanding of the limit concept and the factors affecting changes in that understanding. Encouragement by the researchers for the students to change their common informal models of limit to more formal conceptions were met with extreme resistance. (Author/JJK)

Presents the theory of primary and secondary rainbow formation utilizing simple optics and geometric concepts. Describes an appropriate, waterless classroom demonstration and includes the relevant mathematical formulas and models. (JJK)

Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)

Describes two activities to analyze unit-cell structures from a geometric viewpoint and invites students to apply their mathematical understanding to scientific phenomena. Students form models of the simple cube, a building block of crystalline structures, and a methane molecule. (MKR)

Mathematical skills and reasoning and their applications are considered as forming one of the basic and essential areas of knowledge and experience that should be available to all Australian children. This collection of essays explaining problem solving in mathematics as an organizing theme for current and future curriculum development is a means…

A quantitative method developed at Stanford University that addresses programmatically the short- and long-term needs of the college physical plant is discussed. The approach allows the administrator to accurately assess funding resources for the maintenance program in conjunction with academic and construction programs. A special task force at…

Examples of the use of a mathematical model to evaluate the future renewal and replacement, or maintenance requirements, of the college physical plant are provided. The model, which was developed at Stanford University, simulates actual conditions at a specific location and allows resource allocation to be based on a definable quantitative base.…