This paper illustrates the use of computer-based projects in two one-semester first-year undergraduate mathematics classes. Developed over a period of years, the approach is one in which the classes are organised into work-groups, with computer-based projects being undertaken periodically to illustrate the class material. These projects are…

Beyond Crossroads is a call to action. Within this call, AMATYC has updated its 1995 Crossroads standards, developed a new set of guiding principles, and created a blueprint for implementing these revised principles and standards. The principles guiding Beyond Crossroads are a significant overhaul of their predecessors and are bold statements that…

Calculators used widely by students, teachers, scientists, engineers and many others provide an interesting case study of a compelling technology that has helped change the way many professionals work. They not only help in enhancing problem solving skills of most individuals, but also help visualise solutions to problems in a better way. Research…

We provide an overview of the Calculus Pilot Project that was undertaken by the Rochester Institute of Technology in the 2001 and 2002 academic years. A brief discussion of demographics is followed by a description of three specific steps that, in concert, increased student success rates by over 16%. (Contains 3 tables and 5 figures.)

The purpose of this phenomenological study was to talk to students about their experiences taking introductory statistics. The author met with eleven students individually for four interviews throughout the semester, followed by a member-checking focus group during the last week of classes. One of the most salient themes to emerge was the…

The University of Auckland offers a one-year pre-degree Tertiary Foundation Certificate (TFC) Programme, for up to 200 students who are under-prepared for university study. The students may come straight from school without having gained a university entrance qualification, or they may be students returning to education who lack the confidence to…

This paper is a comparison of three major elementary mathematics textbooks. Although the scope of this investigation is not directly related to college level mathematics, it does address a portion of the oft asked college level question, "How have my students been taught in public school?" The study looks at the strengths and weaknesses of the…

Mathematics can be perceived as being a difficult subject to learn due to the conceptual leaps required to understand particular mathematical topics. In some areas of mathematics, part of the difficulty may be associated with applying sufficient imagination to visualize a particular mathematical concept, and applying sufficient visio-spatial…

The title may appear daunting, but the exercises, which can be presented to students from middle school to graduate school, are not. The exercises center on creating fractal images in the xy-plane with free. easy-to-use software and questions appropriate to the level of the student.

This paper reports on young women students participation in their undergraduate mathematics degree programme: their gendered trajectory is characterized in terms of their being both "invisible" in the dominant university mathematics community and yet "special" in their self -conception. It draws on data collected from a…

A simple model for how traffic moves around a closed loop of road is introduced. The consequent analysis of the model can be used as an application of techniques taught at first year undergraduate level, and as a motivator to encourage students to think critically about model formulation and interpretation.

The impact of developmental mathematics programs on student success in college-level mathematics has been a controversial topic in higher education. One limitation of the current research is that scholars have been unable to isolate the causal impact of such participation on the student's success in college-level mathematics because it is…

This essay examines some aspects of the teaching of mathematics and its applications in three of the principal sixteenth century Spanish universities (Salamanca, Valencia and Alcala) and in other institutions sponsored by the monarchy, such as the "Casa de la Contratacion" (House of Trade) of Seville and the so-called Academy of…

This article describes how a presentation from the point of view of differential operators can be used to (partially) unify the myriad techniques in an introductory course in ordinary differential equations by providing students with a powerful, flexible paradigm that extends into (or from) linear algebra. (Contains 1 footnote.)

The article begins by highlighting recent trends and concerns in post-secondary Calculus and Precalculus education. The main purpose of the article is to discuss the transition to a new Precalculus/Calculus I two-semester course at Wabash College, a small liberal arts college for men. Three years of data from the earlier, traditional, sequence are…