Demonstrates a statistically valid method allowing students to explore randomization. Described are two examples: counting techniques for a small set of data and simulation for a large sample. (YP)

Explores the parallel axes representation (PAR) of linear functions. Illustrates the influences of slope and intercept values on the representation. Appended are five exercises for making the PAR programs using BASIC language. (YP)

Provides an alternative analysis of the reliability associated with the van Hiele Geometry Test based on the assumption that the norm-referenced reliability coefficients provided by the developers were inappropriate. Discusses the agreement coefficient and the kappa coefficient. (YP)

Presents techniques for developing spatial visualization while dealing with concepts of area, proportion, and symmetry. Provides the objectives, directions, extensions, answers, and worksheets for each of the four activities. Describes involving parents. (YP)

Describes the use of interactive video material for teaching mathematics using the doomsday system developed in England. The material on the videodisc contains photographs, maps, text, and statistics. Printed materials were developed to help guide the students in the use of the video material. Results of the classroom trials with the materials are…

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

A longitudinal study investigated whether or not discussion in the mathematical classroom was an aid to understanding. This preliminary analysis showed that evidence to support the hypothesis has been limited. A method of classification of mathematical talk is described. (Author/YP)

Seventh-grade students were tested to uncover arithmetic errors. Answers and intermediate steps were analyzed and models to represent students' behavior were developed. Certain errors were common across students. Others were tied to the format of the test item. Some superficial understandings of mathematical concepts were exposed. (Author/DC)

Discussed is a project promoting "thinking about what students did" in an Israeli high school. Five examples of the project are described with LOGO commands. Several educational ideas are provided. (YP)

Investigated are the developments of pupils' use and understanding of algebraic ideas within a LOGO programing context and a non-computational context. The research consists of a 3-year longitudinal case study of 4 pairs of pupils aged 11-16. LOGO experience enhanced the understanding of algebraic ideas. (Author/YP)

This article discusses two of the reasons for the decline of formal Euclidean geometry in recent syllabi: (1) Traditional approach; and (2) Inherent difficulties. Suggested are some reasons and examples as to why the decline should be reversed. (YP)

Examined inconsistencies in secondary school students' reasoning about the probability concept of equally likely events. Results of two studies suggest that the number of students who understand the concept of independence is much lower than the latest National Assessment of Educational Progress results indicate. (Contains 22 references.) (MDH)

Demonstrates how graphing calculators can be used by students to solve equations involving absolute value. Allows students to make connections between the algebraic and graphical representations of the problem. (MDH)

Presents two methods of calculating the expected value for a participant on the television game show "The Wheel of Fortune." The first approach involves the use of basic expected-value principles. The second approach uses those principles in addition to infinite geometric series. (MDH)

Pragmatic and semantic problem solving are examined as processes that enhance acquisition of mathematical knowledge. It is suggested that development of mathematical cognition involves restructuring and that math teachers can help restructure children's knowledge systems by providing them with situations in which semantic and pragmatic problem…