Though written accounts of collegiate mathematics teaching exist (e.g., mathematicians' reflections and analyses of learning and teaching in innovative courses), research on collegiate teachers' actual classroom teaching practice is virtually non-existent. We advance this claim based on a thorough review of peer-reviewed journals where scholarship…

In this paper, we draw on a 16-month study funded by the Learning and Teaching Support Network in the UK and entitled "Mathematicians as Educational Co-Researchers." The study's aims were two-fold. Primarily we intended to explore mathematicians' reflections on issues identified in the literature as highly topical in the area of teaching and…

This paper reviews the presentation of problem solving and process aspects of mathematics in curriculum documents from Australia, UK, USA and Singapore. The place of problem solving in the documents is reviewed and contrasted, and illustrative problems from teachers' support materials are used to demonstrate how problem solving is now more often…

Attempts to reconstruct the productive ideas that evolved from already existing sources for the teaching and understanding of negative numbers. Discusses examples from developmental research. (Author/MKR)

The range of problems associated with learned helplessness in mathematics is introduced through three hypothetical case studies. Then the basic theory of, the evidence for, and variables affecting learned helplessness are described. Issues of cure and prevention are discussed, and some suggestions are offered for teachers. (MNS)

The first in a series of three articles, successful instructional materials from a 15-year software development effort are analyzed and characterized with special attention given to educational experiences intended to shape students' perceptions of the fundamental nature, interconnectedness, and usefulness of mathematics. The software programs…

Clarifies aims and objectives of school algebra, reviews research on students' performance, and suggests curriculum modifications. This article is one of the keynote addresses of the Algebra Working Group of the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (26 references) (Author/MKR)

Compares the decisions facing teachers in current reform proposals to decisions made by teachers participating in the Madison Project in the 1960s. Discusses teaching methods utilized, lesson planning, and teacher/student interactions. Reports Madison Project teacher's responses to interview transcripts of the tutoring project at Berkeley,…

Discusses a new approach to mathematics education that moves away from methods that tell students what to do and toward methods that help students build mental representations of mathematical concepts. Contrasts the previous and emerging views and examines aspects of the new approach. (26 references) (MDH)

Reviews research literature leading to design of a new LOGO environment, Geo-LOGO, tailored for elementary students' learning of geometry. Presents empirical data from the first field test of the Geo-LOGO environment, which generally support the efficacy of the software design. (Author/MKR)

The study of statistics has been examined in terms of content, readiness to learn, pedagogy, and assessment. Presents a proposal of how a cognitive apprenticeship model can be developed from the research to build more effective instructional and assessment methods for statistics education. Contains 72 references. (Author/MKR)

Reviews research using diagrams, number sentences, and algorithms to help students learn to add and subtract; poses questions on the relationship of instruction to children's knowledge construction; and proposes a research agenda in this area. (86 references) (MKR)