The recent push toward active learning -- engaging students in the learning process -- is meant to benefit students. Yet there is still much to learn about students' perceptions of this phenomenon. We share results from an interview study of students' perceptions of features of two active learning models institutionalized at a large…

This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of…

The calculus concepts of concavity and inflection points are often given meaning through the shape or curvature of a graph. However, there appear to be deeper core ideas for these two concepts, though the research literature has yet to give explicit attention to what these core ideas might be or what it might mean to "understand" them.…

This study holistically explores the experiences of two Latino/a undergraduate freshman pursuing or interested in pursuing STEM majors as they engage in an Emerging Scholars Program (ESP) Calculus I workshop; a mathematical community of practice recognized for assisting culturally diverse student groups in realizing mathematical success. The study…

In this article we focus on university lecturers' approaches to the service teaching and factors that influence their approaches. We present data obtained from the interviews with 19 mathematics and three physics lecturers along with the observations of two mathematics lecturers' calculus courses. The findings show that lecturers' approaches to…

Despite its frequent use, there is little understanding of the concept of differential among upper high school and undergraduate students of physics. As a first step to identify the origin of this situation and to revert it, we have done a historic and epistemological study aimed at clarifying the role and the meaning of the differential in…

Two studies of the effectiveness of supplemental instruction (SI) for college-level calculus courses are reported. In each, achievement was compared for students whose discussion groups were conducted using the supplemental instruction (SI) model and those whose discussion groups were conducted with traditional content-only focus. In both cases,…

The crisis confronting calculus and mathematics education generally results from a number of failed assumptions implicit in the dominant lecture-homework-exam methodology used in teaching mathematics. Positive resolution of this crisis can be found in adopting a noncompetitive, collaborative approach to mathematics education. (Author)

The work described in this paper is part of a larger project, called InterQuest, which is dedicated to establishing effective models and methods for teaching using Internet technology, especially the World Wide Web. Features of two InterQuest projects, CalculusQuest and QuestWriter, are discussed. CalculusQuest is a first-term differential…

Commissioned by the College Board's National Task Force on Minority High Achievement, this report presents a history of the Emerging Scholars Program, a proven strategy for increasing the number of underrepresented minority students who achieve at high levels in freshman calculus (and in initial freshman courses in several of the sciences,…