Presents an assessment activity to determine the ability of students to devise a plan for solving a problem and recording their work while solving the problem. Uses the theme of planning and organizing a birthday party. (MKR)

Describes an experimental course in which the programming language ISETL served as a tool for exploring concepts in abstract algebra, and identifies instructional strategies that facilitate the successful use of ISETL. Offers informal observations regarding the effectiveness of this approach. (13 references) (Author/MKR)

Investigations of (n=782) 7th-grade students' beliefs and perceptions of classroom learning environments found that the pattern of relationships in learning environments where teacher support emerged as irrelevant was not the same for males and females. (29 references) (Author/MKR)

Discusses a program in New Zealand to assist high school students who have an aptitude for mathematics. Uses the philosophy of extension and enrichment rather than acceleration and has a teaching emphasis of problem solving and the methodology of the research mathematician. (MKR)

Presents a lesson plan for building and investigating three- dimensional cubes and a representation of a four-dimensional cube, sometimes called a hypercube. Includes reproducible student worksheets. (MKR)

To help students appreciate the real-life application of geometric constructions, two activities are presented applying boundary lines in geography. Geometric concepts are integrated with other disciplines by giving students historical information, maps, and activity sheets to study the Delaware-Pennsylvania border and the District of Columbia's…

Presented is a series of examples that illustrate a method of solving equations developed by Leonhard Euler based on an unsubstantiated assumption. The method integrates aspects of recursion relations and sequences of converging ratios and can be extended to polynomial equation with infinite exponents. (MDH)

Discussed are two practices that can affect the confidence and attitude of students toward mathematics. The first is a questioning technique that allows students to verbalize their progress up to a perceived impasse. The second discusses the possible negative results of sending students to the blackboard and provides suggestions to improve the…

Various learning activities in language arts, mathematics, social studies, and science are presented, using the theme of favorite foods. Sample activities include thinking of similes and metaphors related to food, calculating calories eaten in a day, and listing foods associated with specific countries. (JDD)

Intermediate-level students (n=41) with learning disabilities, regardless of initial attitude or the type of program (game or drill-and-practice) used, significantly improved their arithmetic facts proficiency after four sessions of computer-based practice. The game format had a facilitative effect on continuing motivation of students with low…

A teacher introduced mathematical concepts into six year olds' stories about losing and growing teeth. Results demonstrated that children's authentic mathematical experiences are derived from the children's knowledge and experience, are multimodal, and are open ended. Calls for open-ended activities that allow children to explore ways to use…

Presents a method that connects the area formulas for triangles, rectangles, parallelograms, and trapezoids by focusing on the relationships between the bases and heights of each figure. Transformations allow figures to be reconceptualized to establish a general concept of area that can be applied to other figures. (MDH)

Describes a seven-year-old boy's activity of drawing pictures of his favorite sport of basketball. The boy's drawing involved the use of proportional reasoning, which requires an understanding of how relationships between objects vary systematically. (BB)

Presents mathematical models to determine whether seven-game baseball playoff series are significantly fairer than five-game series. Compares the results obtained from the models to actual playoff results. (MDH)

Gives an example of an open exploration using trigonometric relationships in which the law of cosines can be deduced from the law of sines. Discusses the characteristics and value of the exploration process. (MDH)