Suggested are investigations for junior and senior high school students that may lead to discoveries and at the same time provide a variety of practice in computing with fractions. (JP)

A formula comparable to Pick's formula for area of a polygonal region on a geoboard is presented for the situation in which the standard unit is an equilateral triangle instead of a square. (JP)

A particular shot on a pool table is analyzed using the concept of similar triangles, to introduce the equivalence of the "incident-reflection" principle and the "minimum-distance" principle. (CR)

Described are the text materials "The Computer - Yours Obediently," developed for a course in computer appreciation. (SD)

This report investigates recent tenth-grade algebra achievement, after first suggesting there are good reasons for maintaining algebra in the syllabuses for grades nine and ten. Results indicate the students studied have mastered such algebraic skills as "collecting like terms" and "substitution in formulae." It is noted that…

Described is the Mathematics component of the Iowa Developed Energy Activity Sampler (IDEAS), a multidisciplinary energy education program designed for infusion into the curriculum of grades 7-12. Also included in the program are activity sets for Home Economics (SE 034 678), Industrial Arts (SE 034 679), Language Arts (SE 034 680), Science (SE…

Kanawha County Schools' replication of the Johns Hopkins Fast Paced Mathematics program has completed its first year of implementation. This program is an alternative that speeds up the rate of learning for mathematically gifted students to a pace that is consistent with their capabilities. The program served eighth grade students. The main…

This study attempts to establish the ability of a panel of five judges with varied mathematics background to distinguish between two types of mathematical tests by separating their component items when they are presented in a mixed pool of aptitude and achievement tests. Typically, the two tests show high correlation. The judges showed about 70%…

The goal of this study was to develop a framework for classifying algebra story problems and to determine observed frequencies for each problem type. One thousand ninety-seven algebra story problems were selected from nine standard algebra textbooks. These are divided into eight families based on the nature of the source formula involved; for…

Differences in social-psychological environments between parochial and public schools, and between mathematics and English courses, were investigated involving 317 grade 10 boys and girls. Multivariate and univariate analysis of variance produced significant main effects and School x Subject interaction. Differential validities of environment…

The calculator is used to investigate properties and characteristics of certain unary operations. These include how a number is related to the number resulting from a unary operation and the result of two unary operations. A discussion of the calculator algorithm to accomplish a series of unary operations is given. Record sheets to summarize…

This research involved the observation and audio-recording of 30 ninth-grade mathematics students recommended as being outstanding by their mathematics teachers. Each student was presented with five different problem situations for which he or she was to make mathematical conjectures. During the interview, the students thought aloud and all of…

An extensive list of criterion-referenced metric test items are published in this booklet for use by educators in levels K-8. Multiple-choice tests are referenced to the goals and behavioral objectives published in "Metrics in the K-8 Curriculum." Each test item is labeled according to grade level, broad goal, and behavioral objective. Questions…

The natural sciences and engineering are two of the areas of employment with low participation rates of women and minorities. This article explores as a possible cause, the rate of enrollment of these groups in mathematics and science courses in high school. Results include data showing that all females and non-Asian males take less college…