The Individualized Supplementary Calculus Instruction (ISCI) Program is a computer-based tutorial resource in use on several campuses and by large companies needing to train employees in calculus. Evaluation showed ISCI to be effective, especially with students who report little talent for mathematics. (SD)

The development of the Individualized Study System (ISS) in The Netherlands from 1970 to 1975 is reviewed and a case study for first-year engineering is described. A classification of ISS courses illustrates the complexity of the system, with advice offered on the management of individualized study systems. (Author/LBH)

Historical background and mathematical development of Riemann's rearrangement theorem are presented. The theorem is stated and proved in two parts. (PK)

Describes a model for organizing research and development on educational applications of the information technologies. The development and evaluation of interactive video courseware using the model (an interdisciplinary team approach) for precalculus mathematics instruction is included. (JN)

Demonstrates how microcomputers can be used in teaching differential calculus, iteration, integral calculus, graphs, and statistics. Several ideas for putting this information into practice are outlined. Sample computer programs are included for the discussions on differential calculus, integral calculus, and iteration. (JN)

How min-max problems can be solved with trigonometry and without calculus is described. (MNS)

The organization, implementation, and evaluation of a self-paced calculus course is discussed. (DT)

This paper describes student difficulties in first-year calculus classes and suggests some instructional strategies to address these difficulties. Participants in this study were 200 low socio-economic background freshmen majoring in business in Brazil. Results show that the main difficulties are related to lack of understanding of algebraic…

This paper reports on research conducted to understand undergraduate students' ways of reasoning about systems of differential equations (SDEs). As part of a semester long classroom teaching experiment in a first course in differential equations, we conducted task-based interviews with six students after their study of first order differential…

This paper investigates the effects of a computer algebra system (DERIVE) on students' comprehension and computational skills in Brief Calculus, a first course for non-mathematics majors. Research results indicate better conceptual understanding by the group using DERIVE without the loss of pen-and-paper computational ability. (KHR)

A conception of discussing mathematical material in the domain of calculus is outlined. Applications include that university students work at their knowledge and prepare for their oral examinations by utilizing the dialog system. The conception is based upon three pillars. One central pillar is a knowledge base containing the collections of…

Hand-held data collection technology allows for access to real-world data collection--at any other time and almost any place. Is the use of data and its collection desirable to the mathematical learning process? The answer is a resounding yes! Not only can significant mathematical ideas be taught in the process; colleagues are also helped in the…

The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)

A discussion of some of the experiences with the design and operation of a computer calculus'' course at the University of Illinois. (Author/HB)