We expand the theoretical perspective based on the notions of description and conflict, which was previously used to the learning of functions and calculus, to the learning of deductive geometry supported by Dynamic Geometry (DG) environments. Based on prior studies on functions and on the potential role of a DG software, we analyze a case study…

Discusses differences between computer-enhanced learning (CEL) and computer-aided learning (CAL), and describes a microcomputer-based graph-plotting program called Capgraph that was developed for use in a college calculus course. Results of a course evaluation are presented; student attitudes are described; and future considerations are discussed.…

Discussion of the use of computers for presentations in the classroom focuses on their use in a calculus course to explain graphs of functions. Topics discussed include the importance of managing the group process in the classroom; environmental considerations; and projectors and screens. (LRW)

Discusses the debate concerning the teaching of calculus. States that some consider calculus reform urgent because of the course's position in undergraduate studies. Considers the quality of mathematics instruction in the computer era. Cites examples of institutional experiments with new course designs. (CW)

Examines characteristics of interactive video and microcomputer technology that are useful in the design and development of instructional modules for precalculus, especially for minority groups that have traditionally been underrepresented in math and science. Theoretical design principles are discussed, and examples for use in secondary schools…

Various ways in which computers can be used in the classroom depending on the subject, students' background, and individual teaching style are discussed. A way to evaluate professional software packages for use in the classroom is included. (KR)

This document promotes a better awareness of available technological tools, their implementation, and their advantages and applications in teaching and learning mathematics. Principles for successful implementation are: (1) computation should be an integral part of instruction; (2) software and curriculum development should go hand-in-hand; (3)…

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Calculus must evolve or face the prospect of becoming irrelevant. The minimum level of classroom technology now available requires us to rethink the content of our calculus courses. Proposes using graphing calculators and computer algebra systems to include the following topics: local linearity, optimization problems, families of curves, and…

Argues that the use of computer technologies in secondary schools should change the nature of mathematics education. Urges the rethinking of the uses of traditional paper-and-pencil computations. Suggests some computer applications for elementary algebra and for problem solving in arithmetic and calculus. (TW)

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)

Notes some of the concerns about calculus education that were expressed at a recent conference of the National Academy of Sciences. Lists problems with unwieldy textbooks, poor teaching, large classes, and low standards. Suggests that the increasing use of computers and advanced calculators can help reform calculus instruction. (TW)