The history of the International Mathematical Olympiad (IMO) is presented, emphasizing U.S. participation, competitive events leading to selection of an American team, and rewards of the program. Also revealed are results of a survey of 58 American IMO participants and personal views of six American participants to the 1986 IMO. (JDD)

Presents a lesson to compute differences of positive and negative numbers using historical events of science. Describes the skills, concepts, objectives, rationale, outline, procedure, evaluation, and extensions of the lesson. Provides a list of events in the history of science. (YP)

Investigated the effect of mathematics instruction with the aid of microcomputer illustrations on the achievement of college students enrolled in an intermediate algebra course. There was a treatment effect on the comprehensive final examination. (YP)

Describes the steps for making overhead manipulative materials on base-10 blocks, colored chips, place-value charts, number lines, and grids. Suggests the materials, procedures, and uses. (YP)

Investigated the effect of the choice of a model's medium (algebraic expression or computer program) on the performance of students. Student programers did not transfer the qualities of a computer program approach to their algebraic models. Provides items for five tests. (YP)

Provides two examples of the "regular falsi" method using geometry and a computer program. (YP)

Provides four activities asking students to observe and classify star patterns and to identify polygons and continuous paths while observing similarities and differences. Presents the objectives, directions, extensions, answers, references, and worksheet for each activity. (YP)

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Describes activities for grade levels 8 to 10 to improve students' understanding of the concepts of variable, expression, domain, and roots of an equation. Includes materials, objects, procedures, answers, and worksheets. (YP)

Investigates children's behaviors and conceptual achievements in the transition from informal calculation strategies to a written division algorithm. Describes five different strategies observed in the solution of division problems. Discusses the implications of the children's behavior. (YP)

Describes basic problem-solving skills and presents a protocol of a student solving a problem. Discusses some of the difficulties in obtaining a correct solution. Lists basic prompts for problem solving. (YP)

Describes how to develop students' communication skills, regular study habits, basic mathematics skills, and a talent for logical thinking in a calculus class. Eight references are listed. (YP)

Presents two practice-discovery activities to furnish computational review in a nonroutine setting. Provides a worksheet for the activities. (YP)

Describes how to check constructions measuring with a protractor or compass and using LOGO programs. The LOGO program and directions are included. (YP)

Shows that the ratio of the area of the quadrilateral formed by joining the kth points to the area of the original quadrilateral is constant whether it is convex or concave quadrilateral. Presents many geoboard or dot paper diagrams and geometrical expresssions. (YP)