This article analyses the modeling approach used by one student in a business problem. It is argued that if we use previous frameworks we are not able to classify the students' approach to modeling as purely theoretical or empirical. Instead the student used a theoretical approach when constructing a real model, but abandoned it when she had to…

The relationship between transformation problem performance and Guilford Structure of Intellect (SI) abilities is explored. During two group sessions 42 females and 35 males, age 18-39, were administered 12 Guilford SI tests exemplifying all five symbolic content (numeric) operations, and three contents in the divergent production area. Logical…

Models relating individual and group problem solving solution times under the condition of limited time (time limit censoring) are presented. Maximum likelihood estimation of parameters and a goodness of fit test are presented. (Author/JKS)

A problem illustrating how physics and mathematics complement one another when analyzing problems of the physical world is described. (JT)

Problems involving the use of diagrams to depict plangers'' (in which lines cross a specified number of times) are discussed. (LS)

Provides a solution method for the problem of finding an optimal traffic network in its simplest form where there are no congestion costs. (Author)

Discusses steps to be executed when studying physiological systems with theoretical mathematical models. Steps considered include: (1) definition of goals; (2) model formulation; (3) mathematical description; (4) qualitative evaluation; (5) parameter estimation; (6) model fitting; (7) evaluation; and (8) design of new experiments based on the…

The application of Bezier polynomials in computer graphics to generate curves and surfaces is presented. The use of these curves to aid in the design of automobiles is featured, and a BASIC program designed to draw a simple caricature is included. (MP)

Methods of formulating mathematical models are discussed and problems, insights, and solutions are given. (PK)

Illustrates how mathematicians work and do mathematical research through the use of a puzzle. Demonstrates how general rules, then theorems develop from special cases. This approach may be used as a research project in high school classrooms or math club settings with the teacher helping to formulate questions, set goals, and avoid becoming…

Proposes a system to help at-risk students develop problem solving skills. Provides some teaching methods and evaluation ideas. (KHR)

Presents activities designed to engage students in an experiential and theoretical application of problems in precalculus and to study geometry, coordinate systems, rates, linear applications, and the concept of function. Illustrates problem situations and includes student worksheets and a teacher's guide. (KHR)

"Composition analysis" refers to the mathematics of how component measures combine to produce composite measures based on Bookstein's functions. Composition analysis is applied to the different ways group members might work together such that their individual measures can be combined mathematically to calculate an expected measure for…

Develops and tests a learning environment for teaching and learning how to model and solve mathematical application problems using four classes of fifth graders. Indicates that the intervention had a positive effect on different aspects of pupils' mathematical modeling and problem solving abilities. (Contains 62 references.) (Author/ASK)