Geometric concepts and theorems can be discovered by high school students using the materials described. Among the topics explored are Platonic solids and Euler's formula. (SD)

New York State teachers who had taught a computer-based mathematics course were surveyed regarding their conceptions of what topics such a course should cover. A common core of content was determined. (SD)

Effective and ineffective teachers were identified by administrative personnel. These teachers were given paper and pencil tests which were compared on 19 variables. Their classrooms were systematically observed using the Pupil Involvement Inventory. Several significant differences between the two groups are reported. (SD)

The author describes a sequence of activities in which his eighth-grade mathematics class studied banking, general business, and stock market applications of mathematical concepts and operations. (SD)

Students, playing the game described, develop strategies for guessing the four-digit number chosen by the opponent. The rules of the game are easily understood by low achievers, yet strategy development is challenging to advanced students. The game can be extended to numbers having more digits. (SD)

The basic rationale for incorporating information about instructional experiences in the design and analysis of assessment data is that student ability, topic exposure, and forms of instructional exposure each contribute to student performance as measured at a given point in time. The purpose of this study is to investigate the degree of…

Two central concepts in probability theory are those of independence and mutually exclusive events. This document is intended to provide suggestions to teachers that can be used to equip students with an intuitive, comprehensive understanding of these basic concepts in probability. The first section of the paper delineates mutually exclusive and…

These units were developed during the summer of 1987 as one component of a project on "Integrating Problem Solving Into Mathematics Teaching." Each unit has the objective of developing students' thinking abilities in mathematics. These units have been revised subsequent to field try-outs prior to dissemination. The summaries of 56 different…

This publication is designed to aid schools in planning a course of study for students in Course III Mathematics in New York State schools. This guide continues the developmental program begun in Course I. It is intended to serve as the Regents syllabus for the third year of the academic sequence for a New York State Regents diploma. This document…

The Virginia International Mathematics Assessment Project was undertaken in response to the need for high quality baseline data on student achievement and on curriculum and instructional issues. The assessment model chosen for this project used the design and instruments of the Second International Mathematics Study (SIMS). The study included 104…

Some ideas are presented about the ways in which the three domains of metacognition, affective factors, and beliefs influence the cognitive activities of seventh graders as they solve mathematics problems. The research project, initiated in 1981, is first described. Theoretical considerations are then discussed, with sections on affects, beliefs,…

This case study examined an experienced secondary school mathematics teacher's knowledge and teaching of problem solving, using interviews, classroom observations, teaching documents, and experimental tasks. The informant revealed a broad interpretation of problem solving, integrated with mathematics but widely applicable. This interpretation…

An assessment of sex-related differences in mathematics achievement and related attitude variables of 13-year-old students from 20 different countries is presented in this study. The analyses of student achievement were based on pretest and posttest data from seven of the participating countries and a single-test condition from the remaining l3…

This curriculum activities guide presents a series of instructional plans for practicing teachers who desire to infuse career education into curricular areas, grades 7 through 12. Introductory materials discuss the guide's purpose and instructional thrust of Project MECCA (Migrant Education Counseling and Career Awareness). They also provide…

The concept of three curriculums--intended, implemented, and attained--is central to this report. In the second international mathematics study, students were surveyed at age 13 (grade 8 in the United States) and in the terminal grade of secondary schooling; this analysis is limited to the first group. How each of the three curriculums was…