The goal of this paper is to present a framework of researcher knowledge development in conducting a study in mathematics education. The key components of the framework are: knowledge germane to conducting a particular study, processes of knowledge accumulation, and catalyzing filters that influence a researcher's decision making. The components…

This article describes a study, from a Canadian technical institute's upgrading mathematics course, where students played a role in developing the final closed-book exam that they sat. The study involved a process where students developed practice exams and solutions keys, students sat each other's practice exams, students evaluated classmates'…

Drawing on data from interviews with mathematics faculty in three different types of undergraduate institutions and using Rabardel's model of instrument use (Verillon & Rabardel "1995"), we describe three ways textbooks mediate college faculty work regarding instruction. The model anticipates epistemic and pragmatic mediations between the…

In this study we investigate the conceptions of mathematics bridging courses held by students enrolled in these courses at a major Australian university. We report on the participants' responses to email-interview questions about the mathematics bridging courses to describe a two-dimensional outcome space of variations in awareness about the…

An understanding of geologic time is comprised of 2 facets. Events in Earth's history can be placed in relative and absolute temporal succession on a vast timescale. Rates of geologic processes vary widely, and some occur over time periods well outside human experience. Several factors likely contribute to an understanding of geologic time, one of…

This is a preliminary study of (community) college mathematics instructors. Through interviews of twelve instructors we explore each individual's educational background and path to the college, as well as his/her preparation for and feelings about teaching. The purpose of this study is to add to the emerging research on college mathematics…

The rapid advances in technology and scientific knowledge in modern society increases the need for a workforce with an understanding of technology and critical thinking skills College graduates are entering the working world without the critical thinking skills and ability to apply the scientific knowledge gained during their undergraduate…

Topics discussed include Professor Polya's contributions, influences on his work, and past and future directions of mathematics and mathematics education. (MP)

Topics discussed by the renowned geometer include: his early interest in mathematics, the nature of geometry, geometry education, and the future of geometry. (MK)

Topics covered include: back-to-basics vs "new math"; history--a guide to pedagogy; does research affect teaching; and a doctor of arts degree for teachers. (MP)

Describes the minimal use of the personal computer in the mathematics curriculum at three Japanese universities. (11 references) (MKR)

This article presents an interview with William H. Graves, a professor emeritus of mathematics at the University of North Carolina (UNC) at Chapel Hill. From 1989 to 1997, he also served UNC as senior technology officer (under various titles) and as founder and director of the Institute for Academic Technology. Graves took leave from the…

Data from interviews with pupils who attempted to solve problems involving the appropriate weighing and combining of individual means into an overall mean is reported. For many, dealing with the mean seems to be a computational rather than a conceptual act, with many subjects unable to correctly carry out the task. (MP)

Investigated were those long-term processes which contribute to high rates of attrition for women out of mathematics. It is based on the contention that university students drop out of mathematics as a consequence of prior socialization, educational career contingencies, and goal commitment and career aspirations, with the mix of these factors…

The focus of this document is on students' understanding of symbolization processes in algebra, and specifically their understanding of semantically laden letters. In the first four sections, four inappropriate ways in which many college students use semantically laden letters are described. Evidence from clinical interview protocols demonstrate…