The Sixth International Congress on Mathematical Education (ICME-6) was special in that it provided a context commemorating the life and work of George Polya (1887-1985) whose native land was Hungary and to whom all those interested in the teaching of mathematical problem solving owe a great debt. What follows in this publication is a collection…

Arizona State University uses the Computer-Administered Mathematics Examination to identify preservice teachers who need mathematics remediation. Reported are the results of the testing of several groups of students. Some of the students were retested after remediation. (RH)

Proposes a mathematical computer model for the behavior of liquids using the classical dynamic principles of Sir Isaac Newton and the molecular dynamics method invented by other scientists. Concludes that other applications will be successful using supercomputers to go beyond simple Newtonian physics. (CW)

Described is an approach to computational matrix algebra that takes advantage of a high quality, low cost microcomputer software package. The examples and applications discussed focus on matrix multiplication. (Author/CW)

The production and application of images based on fractal geometry are described. Discussed are fractal language groups, fractal image coding, and fractal dialects. Implications for these applications of geometry to mathematics education are suggested. (CW)

The implementation of the first phase of a project involving the use of computer software in a course on the mathematics of finance is discussed. Results of a controlled experiment indicated that the techniques employed seemed to have positively impacted the performance of the students. (CW)

A nonconventional graphical way to represent functions (the Parallel Axes Representation) is discussed. A computerized environment designed to support the exploration of the representation of linear functions is described. The didactical potential of this representation is illustrated. (CW)

The results of a simulation model of a queuing system are reported. Use in an introductory quantitative analysis course to enhance students' computer and quantitative modeling knowledge is described. (CW)

Argues that computer instantiations of abstract concepts could assist mathematics education by providing concrete experiences and by inducing the mental process of construction that Piaget called reflexive abstraction. College students with computer experiences scored higher than those taught with traditional methods on a test of functions and…

The Triple Representation Model of problem solving is presented. The use of microcomputers in this problem-solving environment is discussed, and examples are provided. The integration of this method into the mathematics curriculum is described. (CW)

This article presents a vector-analysis approach to the classical three-point problem in hydrogeology. Problem sets involving strike and dip, and ground water flow including computer programs (in BASIC) for their solution are given. (CW)

Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)

Summarizes papers appearing in other journals: (1) "Assessing the Impact of Computer-Based Instruction"; (2) "Computers as Tutors: MENDEL as an Example"; (3) "Computers in the Education of Science Students: A Comparison of Universities and Colleges in Japan and the United States"; (4) "Differentiation and Integration in a CAI Format"; and (5)…

The implementation of the program used in this study, TPIXIE, was predicated on the assumption that acquiring the skill to diagnose student errors was important for teacher trainees. The TPIXIE system (part of the PIXIE family of intelligent tutoring systems) was designed to present users with a series of task-student-answer pairs (where the…

This report describes a computer-based instructional system, the Story Problem Solver (SPS). SPS provides students with instruction about the semantic structure of story problems. It was developed to test a specific schema theory of knowledge organization in long-term memory. For this reason SPS depends explicitly upon a theory of the relationship…