In this paper we report on two complementary research results. In the first we describe a tool that allows different modes of synchronous distance teaching of mathematics. In the second we report the preliminary results of a pilot study conducted using this tool to teach geometry, both with school students aged 14-15 and with undergraduate…

Discusses improving mathematical reasoning through the design of computer microworlds and evaluates a computer-based learning environment that uses multiple representations to improve undergraduate students' conception of average speed. Describes improvement of students' estimates of average speed by using visual feedback from a simulation.…

When students are working with hand held technology, such as graphics calculators, we usually only see the outcomes of their activities in the form of a contribution to a written solution of a mathematical problem. It is more difficult to capture their process of thinking or actions as they use the technology to solve a problem. In this paper we…

Most undergraduate programs require completion of a mathematics course, but pass rates in these courses are often low. To determine predictors of student success in 100-level mathematics courses at the University of Southern Maine, we used a questionnaire to collect information on possible predictors of grade (student demographics, attitude,…

This study examined and refined a mathematics skills instrument used to predict success in an introductory statistics course and to measure improvement in mathematics skills. Alternate forms of a 28-item true-false test were administered as a pretest and posttest to 18 undergraduate and 19 graduate students enrolled in introductory educational…

Proposes methods to teach the more difficult concepts of linear algebra. Examines features of the Linear Algebra Curriculum Study Group Core Syllabus, and presents problems from the core syllabus that utilize the mathematical process skills of making conjectures, proving the results, and communicating the results to colleagues. Presents five…

The tendency of female students to avoid mathematics and science courses has been of concern to many researchers. The concern stems from the fact that avoidance of these academic areas places young women in a position of reduced choice with respect to careers. This research examined mathematics and science related attitudes and behaviors among…

For several semesters, the teaching staff of the administrative statistics course at The University of Massachusetts have engaged in "acceptance testing"--the screening of incoming students for some very basic skills with an open book, unlimited time, repeatable test. Test results demonstrated that successful completion of prerequisite…

Students at the undergraduate level usually tend to view research methods courses negatively. However, an understanding of these attitudes is necessary to help instructors facilitate the learning of research for their students, by enabling them to create more positive attitudes toward such courses. The aim of this study is to describe the…

Describes undergraduate projects at Harvey Mudd College (California) that use advanced laboratory equipment and procedures normally reserved for graduate students. Examples are given in experimental biology (e.g., digital imaging and DNA analysis), in physics (e.g., using satellites to study earthquake faults), and in mathematics (e.g., teaching…

Understanding abstract concepts and ideas in mathematics, if instruction takes place in the first language of the student, is difficult. Yet worldwide students often have to master mathematics via a second or third language. The majority of students in South Africa--a country with eleven official languages--has to face this difficulty. In a…

A meta-analysis of research on college students in science, mathematics, engineering, and technology (SMET) was undertaken to clarify the effects of small-group learning at the undergraduate level. The focus was three broad categories of outcomes among SMET undergraduates: achievement, persistence, and attitudes. Research concerns included:…

This submission contains the Proceedings of the 2004 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Universite Laval in Quebec City, Quebec. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study…

The work of this committee has been done in large part by three subcommittees, as follows: (1) On men's colleges; (2) On women's colleges; and (3) On coeducational colleges. The facts presented in these reports have been gathered from 60 or more leading colleges by the Bureau of Education through the use of a questionnaire, and have been…

This submission contains the Proceedings of the 2005 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Ottawa in Ottawa, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…