We examine the behavior of the curvature function associated with most common families of functions and curves, with the focus on establishing where maximum curvature occurs. Many examples are included for student illustrations. (Contains 18 figures.)

In this paper, results of a questionnaire about continuity of functions are analysed. The tested students attend Novi Sad grammar school. The aim of this test was to check the student's theoretical and visual knowledge of continuous functions at the end of their high school education. The questions were given with and without the graphs of…

Twenty-eight engineering students were presented with complex spatial problems to investigate the effects of spatial aptitude and strategy selection on problem solving. Aptitude was determined by spatial aptitude test scores and strategy was determined by verbal reports and latency measures. It was found that aptitude determined the efficiency…

A method is described for representing quadratic functions by three-dimensional wire models. This enables one to form a simple geometric concept of the location of imaginary zeros. (MNS)

A class of seldom-seen real-world applications of high school mathematics is described. The problems considered are viewed as more substantial than ordinary word problems and thus are thought to require a greater commitment of time and energy. Suggestions for student extensions of the project are made. (MP)

A set of programs, designed to supplement a high school or college course in trigonometry, is described. Student exploration is stressed. (MP)

Three models to predict future world records for footraces are reviewed. The records for the mile run are presented with time and year given in linear, hyperbolic, and experiential relationships. (MP)

Describes a classroom activity designed to give students hands-on experience using technology and geometric visualization, as well as to explore fractal geometry in a cooperative classroom environment. Natural phenomena is the context of these activities. Enriches understanding of Euclidean geometry and infinite sequences. Lists materials,…

Describes the successful use of a computer algebra system (CAS) with a student as he worked on a problem involving functions far more difficult than he had previously encountered. (Author/NB)

Provides examples of such statistical graphs as line, bar, picture and pie. Suggests uses of Logo Turtle Graphics in graph construction. Includes several program procedures for creating designs with the computer. (RT)

Three mathematics software packages, MathCAD, Point Five, and TK Solver Plus, are described and compared. The packages were rated on the accompanying documentation, ease of learning, ease of use, matrix operations, equation solving capability, versatility, use of units, generation of graphs and tables, readability of output, and overall…

Presents an overview and discussion of some results of research on the use of graphing calculators organized into the following categories: (1) achievement studies, (2) conceptual understanding, (3) problem solving, (4) classroom dynamics, and (5) future research needed. (29 references) (MKR)

Proposes that state legislatures are a laboratory for mathematics. Discusses the mathematics involved in the three income tax proposals submitted to the Connecticut General Assembly in 1991 and the effects that each plan would have on families. The proposals included a flat rate plan, a graduated rate plan, and a compromise proposal. (MDH)

Describes a project where computer-assisted graphical data analyses were introduced to inner-city high school students with weak math and science backgrounds. Provides examples of performance of students on open-ended problem-solving tasks. (PR)

Explores the co-shaping of public and private discourse and some of the circumstances under which one occasions the other in the evolution of mathematical thinking by pairs of 13-year-olds. Provides evidence that adolescents within novel problem situations can experience some difficulty in making their emergent thinking available to partners in…