Two-year colleges are often overlooked in undergraduate education even though they are responsible for educating 37 percent of all college students and over half of the minorities in higher education. In the fall of 1988, the Office of Undergraduate Science, Engineering, and Mathematics Education (USEME) convened a 2-day conference to discuss the…

This paper presents the thesis that pair problem-solving serves as an aid to students in developing their metacognitive skills. Metacognition has been defined as knowledge and cognition about cognitive objects and as any kind of monitoring. The ability to monitor one's thoughts and actions is greatly facilitated through the pair problem-solving…

This paper explores the role of instructional scaffolding in the development of undergraduate students' understanding of mathematical proof during a one-year discrete mathematics course. We describe here the framework adapted for the analysis of whole-class discussion and examine how the teacher scaffolded students' thinking. Results suggest that…

Using Kazemi's and Stipek's (2001) framework of classroom practice, the discourse between students enrolled in a mathematics-for-teachers course and their instructor is examined. The teacher's practice is in transition from a focus on having students share multiple strategies toward a practice that additionally includes the mathematical…

Near the conclusion of their final term in the calculus sequence at The United States Military Academy, cadets are given a week long group project. At the end of the week, the project is briefed to their instructors, classmates, and superior officers. From a teaching perspective, the goal is to encapsulate as much of the course as possible in one…

The purpose of this volume is to provide or identify the major sources of information used by the National Science Board Committee in preparing its report: Four public hearings were conducted and testimony received from knowledgeable leaders in higher education, the scientific community, industry, and government. This volume is principally a…

This paper reports on initial results from an ongoing evaluation study of a National Science Foundation project to implement reform-oriented teaching practices in college science and mathematics courses. The purpose of this study was to determine what elements of reform teaching are being utilized by college faculty members teaching undergraduate…

Computer algebra methods based on results of commutative algebra like Groebner bases of ideals and elimination of variables make it possible to solve complex, elementary and non elementary problems of geometry, which are difficult to solve using a classical approach. Computer algebra methods permit the proof of geometric theorems, automatic…

It is argued that, given the importance and the increased use of multivariate techniques such as factor analysis and canonical correlation, students need to be made aware of multivariate methods and the appropriate ways in which they can be applied. As a general linear model that subsumes all other parametric measures, canonical correlation…

A method pertaining to the identification and analysis of course objectives is discussed. A framework is developed by which post facto objectives can be determined and students' attainment of the objectives can be assessed. The method can also be used for examining the quality of instruction. Using this method, it is possible to determine…

This document, an extensive revision of the original "Guidelines," was prepared by the National Council of Teachers of Mathematics (NCTM)'s Commission on the Education of Teachers of Mathematics. It represents the current thought of the mathematics and mathematics education communities on the preparation of teachers of mathematics. Its developers…

In this paper we report on some patterns of reasoning, which emerged during an activity of proving a mathematical statement performed by nine grade and university mathematics students. The statement in question involves drawing figures, working in arithmetic and in algebra. As for secondary students we detected fluency, flexibility and ability of…

We developed, piloted, and evaluated a successful model for integrating other disciplinary perspectives while learning a specific discipline. Faculty who taught first-year biology and mathematics courses produced examples of how these disciplines complement each other. These faculty presented students with the connecting threads that integrate…

Using data from Achieving the Dream: Community Colleges Count, this issue examines the percentages and numbers of students who attempted and completed both developmental and college-level math. The analysis reveals that a large portion of students either do not attempt or do not complete developmental math coursework. Furthermore, the data show…

Using data from Achieving the Dream: Community Colleges Count, this Data Note's issue examines developmental math referrals, attempts and completions from the 2002 Achieving the Dream student cohort over two academic years, fall 2002 through spring 2004. Although approximately half of the students who were referred to developmental math completed…