The purpose of this study was to investigate a multi-faceted women's calculus course designed to retain women in advanced mathematics courses. With this research, we wanted to find out, first, in what ways students were influenced by participation in the course and, second, in what ways these influences affected their mathematics learning or…

The integration of history into educational practice can lead to the development of activities through the use of genetic "moments" in the history of mathematics. In the present paper, we utilize Oresme's genetic ideas--developed during the fourteenth century, including ideas on the velocity-time graphical representation as well as geometric…

To identify and describe the basis upon which instructors make curricular and pedagogical decisions, we have developed an artifact-based interview and an analysis technique based on multilayered concept maps. The policy capturing technique used in the interview asks instructors to make judgments about concrete instructional artifacts similar to…

Recent years it has an explosive development of IT technologies. However, the problem of natural integration of modern technologies in teaching and learning mathematics is far from its final solution. In teaching mathematics at universities, these capabilities either are ignored or have extremely limited applications. In our study, we consider…

Rate of change has its basis in everyday experience like growth and motion and is a fundamental organizing idea for relationships between varying quantities. In this paper three types of rate of change knowledge for functions are discussed: global, interval, and point-wise. Each of these types of rate of change knowledge can be examined using…

This book discusses the calculus reform effort. The first essay captures the basic themes that should characterize a calculus course that is modern in its vision as well as its pedagogy and content. The next section contains essays on the vision of calculus reform: "Visions of Calculus" (Sharon Cutler Ross); "Nonalgebraic Approaches…

Application of the integral calculus to predicting supplies of oil in future years is described. (SD)

Curve stitching activities can be used to motivate calculus students. The problem described here involves showing that a given envelope of a curve is parabolic. (SD)

Calculus has become the center of a heated debate within the mathematics community. There are those who question the very centrality of calculus in the mathematics curriculum. Evidence indicates that many current calculus courses are not serving students well. In addition, computers and advanced calculators can now do many of the manipulations…

This paper contains an elementary and short proof for the case that the underlying distribution function F is discrete, and then extends the result to the general F. In other proofs underlying iid sequences of random variables with continuous distributions are considered to be the "ideal" case. In this paper discretization of the underlying iid…

This study was intended to determine whether sex-linked mathematics achievement and contextual differences persist into the university years. A random sample of 150 first-year mathematics students enrolled at a midwestern university was identified. A common 30-item calculus readiness test and a 37-item questionnaire, dealing with students'…

To assist the College Board Calculus Development Committee in arriving at a decision regarding the policy that should be followed in allowing the use of calculators on the Advanced Placement (AP) examinations after 1980, a questionnaire was developed. It obtains information from secondary school mathematics teachers about the extent to which…

THIS ANNOTATED BIBLIOGRAPHY IS A COMPILATION OF A NUMBER OF HIGHLY REGARDED BOOK LISTS CONSISTING OF LIBRARY BOOKS AND TEXTBOOKS FOR GRADES 7-12. THE BOOKS IN THIS LIST ARE CURRENTLY IN PRINT AND THE CONTENT IS REPRESENTATIVE OF THE FOLLOWING AREAS OF MATHEMATICS--MATHEMATICAL RECREATION, COMPUTERS, ARITHMETIC, ALGEBRA, EUCLIDEAN GEOMETRY,…

Described is a general college curriculum in mathematics that can be taught by a college staff with as few as four teachers. This report considers four related problems in mathematical education, particularly in colleges of arts and sciences. First, there is the problem of uncertainty about curriculum content and sequence. Second, the…

These materials were written with the aim of reflecting the thinking of Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics K-6. In view of the experiences of other curriculum groups and of the general discussions since 1963, the present report initiates the next step in evolving the "Goals".…