The recent increase in enrollments in college remedial mathematics courses makes clear the need for the development of pedagogy and curriculum which is tailored to this relatively new class of service courses. Besides the need for courses which teach basic skills in arithmentic, general mathematics, and elementary and intermediate algebra, a…

A British report recommending widespread compulsory retirement of mathematics faculty based on current enrollment trends and predictions is analyzed and criticized for both its statistics and its assumptions. It is argued that social influences in enrollment and social considerations in public policy toward education are largely being ignored.…

Teaching the concept of integration differs depending on which of four perspectives is used to introduce the topic. Presents a method based on the historical development of the use of integration that introduces integral as antiderivative. Discusses examples of differential equations used in the development and ways to connect this to the other…

Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)

The nine articles in this collection were selected because they represent concerns central to computer science, emphasize topics of particular interest to mathematicians, and underscore the wide range of areas deeply and continually affected by computer science. The contents consist of: "Introduction" (S. V. Pollack), "The…

This is a report of the National Advisory Groups of Sigma Xi to explore the nature and quality of undergraduate education in science, mathematics, and engineering and to identify the significant topics and issues that should be addressed in charting a policy for undergraduate education. The topics identified are: (1) "Quality of Instruction"…

The regenerative model for the mathematics education of elementary school teachers that is presented is an interactive model that recognizes the need to consider local and national professional concerns as well as local preservice and in-service teacher concerns. A process for identifying and utilizing these concerns is described. Other models…

Argues that while microcomputer and graphing calculators have evolved to a stage where they should be used routinely by mathematics students at all levels, there is sometimes potential to mislead students with computer generated graphs. Examples are included. (PK)

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)

Out-of-date textbooks, inappropriate tests, and underprepared teachers have left mathematics in the classroom in disarray. The need for a permanent national capability to influence all agencies responsible for mathematics education is discussed. (MLW)

A critical curriculum promoting mathematical literacy can be effective in involving more people of color in mathematics and science fields. A program that conveys the relevance of mathematics and statistical knowledge can be politically and socially empowering. Describes how ethnomathematics challenges the Eurocentric dichotomy between practical…

Discussed are the major historical developments of geometry. Euclid, Descartes, Klein's Erlanger Program, Gaus and Riemann, globalization, topology, Elie Cartan, and an application to molecular biology are included as topics. (KR)

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)

Recommendations are made for introduction into mathematics undergraduate degree program of a course that focuses on issues relating to the cultural perspective of the discipline and for the allowance of more time and formal analysis about the history and philosophy underlying the topics examined within all mathematics courses. A list of 15…

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)…