The calculus of finite differences and finite sums is used to create a context in which the computer can be incorporated into calculus courses. Analyses of the experimental implementations are included. (MP)

Results from a large-scale study of sixth-form and college students' understanding of elementary calculus and mathematical ideas underlying calculus are presented. Difficulties with speed, tables, linear graphs, curves and differences, the tangent as the limit, and the average rate of change are each discussed. (MNS)

Two-hundred forty-seven students in AP Calculus BC classes in 15 schools were compared to 229 students in college calculus courses in nine colleges, using a testing instrument valid for both groups. The AP Calculus BC students achieved as well as, or better than, their college counterparts. (MNS)

Reviews the findings from two international studies of mathematics achievement that have been conducted over the past 20 years. The majority of twelth-grade, college-bound American students scored among the lowest quarter of countries in the latest study. Includes tables and graphs. (MD)

This set of five papers, written in German with abstracts in English, was collected by the Institut fuer Didaktit der Mathematik (Institute for the Teaching of Mathematics) at the University of Bielefeld in West Germany. In the first paper, Bauersfeld considers domains of subjective experiences as the best issue for an interactive theory of…