Evaluated was a three-year pilot project, the Academic Scholars Achievement Program. Its goals were: (1) to revitalize the college-preparatory mathematics program of two California high schools, and (2) to increase the number of minority students completing that program. Establishing collegial relationships between the faculties of the schools and…

As part of a comprehensive, interdisciplinary environmental education program for elementary and secondary education in Hawaii, this teaching guide provides a variety of energy education activities for secondary school mathematics. An extensive introduction outlines the total program and how it fits into the general education program and explains…

The purpose of this study was to conduct formative and summative evaluation for Computer Integrated Instruction (CII), an alternative use of computer-assisted instruction (CAI). The non-equivalent control group, pretest-posttest design was implemented with the class as the unit of analysis. Several of the instruments were adopted from existing CAI…

A problem-solving program supplemented by calculators in one treatment group was conducted in 63 grade 7 classes with about 1350 students. Teachers were provided with problems correlated with textbooks, and instruction for teaching problem-solving strategies. School districts provided calculators and problem-solving materials. Pretest scores…

A battery of aptitude and vocabulary tests was administered to 477 students from two high schools. Test scores were correlated with grades in three mathematics courses (algebra, geometry, and algebra II/trigonometry) and scores on the PSAT and SAT. It was found that course grades are most strongly related to analytical reasoning, English…

Algebra is a skill, according to this author, and as such, is best learned through repeated practice over an extended period of time. Unlike texts which treat a topic in some detail before moving to the next, Saxon's 126 lessons break a concept down into small units so that each may be practiced thoroughly before the next part of the same concept…

The extent of congruence of the underlying factor structures of the learning environment and cognitive variables for mathematics and English courses in grade 10 are presented. The Learning Environment Inventory (LEI), the Otis-Lennon Mental Ability Test, and the Sequential Tests of Educational Progress were administered to 317 students. The…

Pilot research using a draft version of the Mathematics Inventory is discussed in this report. The Mathematics Inventory is a self evaluation instrument which covers five major subject areas: elementary algebra, intermediate/advanced algebra, plane and solid geometry, trigonometry, and coordinate geometry and functions. The instrument is…

The objective of this study was to evaluate the effectiveness of the "Groups of Four" program, examining the impact of the cooperative learning strategy on students' achievement in mathematical problem solving. Effects of three specific independent variables in the program were examined in terms of gender, group assignment, and ability,…

Working in groups of three, seventh-grade students were video taped solving an applied mathematical problem. Audio tapes were made of each group discussing their session. Analysis focused on the first stage of Noddings (1984) model of problem solving for school mathematics: Creation of a representation. Some factors identified as impeding…

The Stanford Achievement Test (SAT), Test of Academic Skills Level I was administered to 10,186 tenth grade students in Hawaii during fall 1984. This two-section report presents findings from the SAT's mathematics subtest. This subtest measured students' competency in these nine areas: numbers, symbols, and sets; number properties and operations…

Details of an investigation into polygonal numbers are given. From a study of the tabled series, patterns are discovered both within and between the various polygonal series. From a study of these results and the corresponding figures, formulas are developed. (LS)

This document is designed for grade eight to enrich and supplement the usual courses of instruction. Mathematics and Living Things (MALT) utilizes exercises in biological science to derive data through which mathematical concepts and principles may be introduced and expanded. Chapters included are: (1) Leaves and Natural Variation: Measurement of…

This text was written for junior high school teachers who wish to have more mathematical background on number systems. It is particularly useful for teachers who teach SMSG materials at grades 7 and 8. Chapters included are: (1) Introduction; (2) Numeration; (3) The Whole Numbers; (4) Divisibility and Properties of Whole Numbers; (5) The…