This catalog presents brief descriptions of all lessons developed by the PLATO project for community colleges and adult education. One hundred six lessons are available for computer-based use. Topics range from elementary arithmetic to function theory and trigonometry. For each of these lessons, this catalog presents the title, code name, author,…

Thirteen different research reports related to mathematics education, plus a set of five studies by one investigator and his associates, are abstracted and analyzed. The set of five studies is primarily concerned with how students deal with ratio. Of the other studies, one focuses on the longitudinal effects of inservice teacher training; five…

Presents a method of viewing the reflective properties of the parabola and ellipse. Reinforces previously studied concepts of mathematics useful for individual or classroom projects. (PK)

This article presents some of the optics and mathematics related to what causes a rainbow, why it is brighter inside than out, and why more than one rainbow may appear. (PK)

Presented are two sets of materials appropriate for exploring different aspects of shape. Ideas about sequences are considered. (PK)

Practical and classroom-tested ideas are suggested for teaching the midpoint theorem and exponents and factorials. (PK)

Describes origami, the oriental art of paper folding as an activity to teach upper elementary students concepts and skills in geometry involving polygons, angles, measurement, symmetry, and congruence. (PK)

Describes an enrichment activity based on the problem "Given a 2x2 square, and three colors, how many different ways can we shade the square?" (PK)

This article describes "Geopardy," a geometry version of the television game show "Jeopardy." Rules, rewards, miscellaneous suggestions and sample questions are included. (PK)

Summarizes an initial foray in tackling artificial intelligence problems using a connectionist approach. The task chosen is visual recognition of Origami objects, and the questions answered are how to construct a connectionist network to represent and recognize projected Origami line drawings and the advantages such an approach would have. (30…

Presented are four activities (each accompanied by ready-to-duplicate worksheets) dealing with: colors and shapes (grades K-2); using a coordinate grid in map reading (grades 3-4); order pairs of whole numbers (grades 5-6); and locating ordered pairs of rational numbers in the coordinate plane (grades 7-8). (JN)

Describes a project in which 11- to 13-year-old children used their LOGO programing experience to assist them in investigating a mathematical topic. Students initially drew frieze patterns on graph paper and then wrote LOGO program. Implications of the project for mathematics instruction are noted. (JN)

Discusses a computer program requiring students to find an object on a grid by using location coordinates. The program, which provides a wide range of problem-solving activities, is a highly motivating approach to hands-on metric measurement, rounding off numbers, and plotting points on Cartesian coordinate systems. Includes complete program…

The sample assessment items in this volume are sorted according to the strands of number and operations, algebra, geometry, measurement, and data analysis and probability. Because one goal of assessment is to determine students' abilities to communicate mathematically, the writing team suggests ways to extend or modify multiple-choice and…

The object of this paper is to present and analyze some observations of the language children in 1st grade (6-7 years old) use when they talk about geometrical objects. The observations are made during a number of encounters with the pupils during one year. The work is part of an ongoing collaboration project between a university college and a…