The belief that computer science should have a profound effect on undergraduate mathematics is proposed. It is also reported that alternatives to the standard curriculum would give discrete analysis an equivalent role to that now played by calculus in the first two years. (MP)

This document promotes computer symbolic mathematics and computer algebra as ideal instructional materials for mathematics, science, and engineering students. Further, computer algebra is viewed as appropriate for all students throughout the mathematics curriculum, by serving a vast area of mutual reinforcement and cross-motivation between…

This report: (1) describes the organization of an invitational conference aimed at gathering direction from classroom teachers regarding instructional applications of computers; (2) provides copies of all materials used in organizing such a conference; and (3) reports the results of the conference in terms of conference products (resolutions,…

Described is the current state of computer science education in this country. The information explosion in science and the shift in our economy from the production of industrial goods to a greater emphasis on science and knowledge-based industries has created a discontinuity in the nature of jobs and our educational needs. Computers are not a…

Describes ideas originating in the theory and practice of computer science and shows how they could benefit the teaching and exposition of mathematics. Includes discussion of specification, syntax and semantics, formal transformations, types and polymorphisms, and self-monitoring. (29 references) (MKR)

Definitions of computer science and computer literacy are discussed, with their implications for college instruction and job skills. Mathematics as a necessary condition for success in both is noted. (MNS)

The author urges that the tie between mathematics departments and computer science be severed and that computer science become a separate and independent department. Then mathematics teachers can better address mathematics curriculum changes appropriate to the computer age and computer activities that support and enhance mathematics instruction.…

Computer programing and problem-solving steps in mathematics are viewed to have related concepts. Some heuristics are compared with some suggestions for structured programing. The one fundamental difference between problem solving in general and when using the computer is seen as the computer solution must be finite. The computer is viewed as a…

Discusses the role of computers in mathematics education, including their use (computer science) as a subject area and as a means of delivering instruction. Indicates that the computer challenge is here but the mathematics education system has yet to rise to the challenge. (JN)

The director of the National Council of Teachers of Mathematics reviews proposals for surmounting a crisis in mathematics education that were made in "An Agenda for Action: Recommendations for School Mathematics of the 1980's" and have been incorporated into recent task force reports. The need for national leadership is highlighted. (MJL)

Computer science may foreshadow some near revolutions in school mathematics, concerning new ways of teaching much of the mathematics curriculum, increased emphasis on discrete mathematics, and the impact of symbolic mathematical systems. Each is discussed, with a distinction made between computer science and computer technology. (MNS)

Argues that the organization of cognitive structures for technical domains can be visualized as a network of connected thinkable models. Describes a taxonomy of models that has been developed and discusses the issue of how representations relate to human modes of perception and action. Contains 25 references. (DDR)

Seven graduate students in a seminar on classroom computing received instruction in LOGO programming. Programming protocols were collected periodically and examined for errors and misconceptions; in-depth interviews were conducted in order to understand specific misconceptions better. As novice students transit from instruction to experience in…

Mathematics teachers should be teaching computer science and using the computer to enhance their teaching of mathematics. Furthermore, the computer mandates curricular reform in mathematics. (MNS)

It is argued that the objectives identified by the Minnesota Educational Computing Consortium should not be viewed as a list of what should be taught, but as a picture of what was actually practiced in 1978 and 1979. Future courses are viewed as having heavy emphasis on computer-student interaction. (MP)