This document contains findings of a year-long evaluation of the Mathematics and Education Reform (MER) Forum, a voluntary association targeting the academic mathematics community in four-year colleges and universities. Specifically, the evaluation sought to assess the extent to which MER influenced its members' involvement in…

In fall 1992, a study was performed at Evergreen Valley College, in San Jose, California, to determine whether the presence of full-time instructional aides and part-time matriculation aides in four specific courses (English 321, 322, 330, and Math 12) led to increases in student success. Success was defined as receipt of a grade of…

This study was designed to determine students' abilities and difficulties in articulating the relationship between function and derivative. High-school students were presented 15 problems during two 75-minute interviews in which they were asked to construct functions experimentally in three different contexts: motion, fluids, and number-change. In…

This study evaluated the effectiveness of the curriculum for a remedial mathematics program administered as an audio-tutorial self-paced class at Lake Michigan College. Twelve variables were selected for analysis, including pretest scores, mathematics skills test scores, final grades, time spent, age, gender, and attitude from 247 students…

This study was an initial effort at Brenau College (Georgia) to analyze the relative effectiveness of a self-paced math lab approach to developmental pre-college algebra. Students enrolled in 1988-89 were taught under the lecture method; this applied to students needing both developmental arithmetic and developmental algebra. During the subsequent…

The Prefreshman Summer Program for academically and economically handicapped students at the City University of New York (CUNY) was evaluated in 1985 and compared to previous evaluations. The voluntary, 6-week transitional program provides intensive basic skills instruction, tutoring, counseling, and financial aid to incoming students who fail to…

When one encounters a problem that one has no adequate way of representing, a new mental model for the problem may have to be found. When a possible model is found, an important next step is to evaluate the validity of the model. In this document, examples of subjects finding and evaluating mental models used as problem representations are…

This study assessed patterns of differences in quantitative performance across groups of intended undergraduate majors consistent with those previously found for students who had completed their undergraduate study. Data were drawn from the College Board Admissions Testing Program's national sample of 10,000 college-bound high school seniors in…

This document presents four research papers related to the role of inconsistent ideas in learning mathematics and a discussion paper related to the same issue. The titles of the papers are: (1) "Cognitive Conflict in Procedure Applications" (Merlyn Behr and Guershon Harel); (2) "Inconsistencies in Preservice Elementary Teachers'…

It is a concern of many educators and researchers that females are underrepresented in the field of mathematics and careers that require mathematics. This study begins with a review of the literature that examines the sex-related differences in mathematics. Three major categories involving the relationship between females and mathematics are then…

This document contains the course syllabus and 12 independent practice modules for a college pre-calculus course designed as the second course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes applications from technology and verbal problems. Topics include trigonometric functions; identities;…

The implementation of the program used in this study, TPIXIE, was predicated on the assumption that acquiring the skill to diagnose student errors was important for teacher trainees. The TPIXIE system (part of the PIXIE family of intelligent tutoring systems) was designed to present users with a series of task-student-answer pairs (where the…

This is a narrative review of research in mathematics education reported during 1987. The purpose of this review is to extract from research reports ideas that may prove useful to school practitioners. Major sections are: (1) "Planning for Instruction" (relating historical developments, aides and grades, teaching approaches, problem…

This report describes a computer-based instructional system, the Story Problem Solver (SPS). SPS provides students with instruction about the semantic structure of story problems. It was developed to test a specific schema theory of knowledge organization in long-term memory. For this reason SPS depends explicitly upon a theory of the relationship…

In response to the urgent national need to revitalize mathematics and science education, the National Research Council (NRC) has undertaken an examination of mathematics education from kindergarten through graduate study. This is a summary of a report outlining the seriousness of the situation and emphasizing how critical mathematics is for…