Over the past two decades, calculus reformers have called for the use of alternative pedagogical techniques to promote student learning. Some mathematics instructors have responded by developing a set of student projects intended to hone thinking skills and improve the mathematical writing skills of calculus students. Drawbacks to this strategy…

What is a routine question? The focus of this paper is routine questions and time (in years) since a hitherto routine question was last attempted by the solver. The data comes from undergraduate students' work on solving two calculus questions. The data was selected for reporting purposes because it is well documented and because it threw up…

We examine the behavior of the curvature function associated with most common families of functions and curves, with the focus on establishing where maximum curvature occurs. Many examples are included for student illustrations. (Contains 18 figures.)

Do students who focus on some content areas in high school chemistry have an advantage over others in college chemistry? Published research on high school preparation for college science dates back as far as the 1920s, but results have been mixed. This manuscript seeks to answer this question through the use of a broad-based survey of 3521…

In this paper, results of a questionnaire about continuity of functions are analysed. The tested students attend Novi Sad grammar school. The aim of this test was to check the student's theoretical and visual knowledge of continuous functions at the end of their high school education. The questions were given with and without the graphs of…

In this study, the effect of different definitions of concavity on students' understanding was investigated. Students enrolled in the calculus-II course in the science and engineering faculties in Anadolu University, Turkey were divided into two groups and each group was given a different definition of concavity. At the end of the study, both…

This paper focuses on blended learning in mathematics I module in elementary calculus, at a University of Technology. A computer laboratory was used to create a learning environment that promoted interactive learning together with traditional teaching. The interactive learning was performed using projects to optimize the discovery and error…

This study examined how students with a minimum background of Calculus IV (n=17) differ from other college students (n=17) on personality traits as determined by the 16 PF, fifth edition. Significant differences were found on Factor A (Warmth), Factor B (Reasoning), Factor F (Liveliness) and Factor H (Social Boldness). Gender differences were also…

This document contains nine research papers presented at the Joint Special Session on Research in Undergraduate Mathematics Education at the annual meeting of the American Mathematical Society and the Mathematical Association of America (San Francisco, California, January 1991). Paper titles are: "The Teaching and Learning of College…

A study was conducted at California's Orange Coast College (OCC) to determine if students who completed college algebra at OCC or at another college prior to enrolling in the college's calculus for business, management, and social sciences (CBMSS) course performed significantly better than students who had not previously completed college algebra.…

This paper documents how eight high school students in a precalculus class enhanced with graphing calculators think about functions. Three models of thinking about functions emerged from students' function images observed over a period of 9 months. In the graph model, students believed that functions are essentially graphs; in the equation model,…

The papers in this report represent the imagination, analysis, and experiences of many people involved in recent curricular studies in secondary school mathematics. It differs from reports that seek broad agreement on conservative, traditional curricula, representing instead the point of view of those working with emerging electronic technology…

The conference of which these are the proceedings was held in June-July 1982 at Williams College in Williamstown, Massachusetts. The purpose was to discuss the restructuring of the first two years of college mathematics to provide some balance between the traditional calculus-linear algebra sequence, and discrete mathematics. The volume contains…

This manual outlines a calculus course, one of three optional courses designed to meet the needs of students in Manitoba (Canada) secondary schools who demonstrate particular aptitude in mathematics and who desire to study more topics and more advanced topics. Major emphasis is placed on applications and problem solving. The four units in the…

There has been much recent discussion concerning the content of the standard calculus course for students majoring in mathematics and the sciences. Some of this discussion has focused on the available textbooks. One weakness noted in some of these books involves the definitions of limit and continuity for functions of several variables. A…