Calculus has become the center of a heated debate within the mathematics community. There are those who question the very centrality of calculus in the mathematics curriculum. Evidence indicates that many current calculus courses are not serving students well. In addition, computers and advanced calculators can now do many of the manipulations…

This paper contains an elementary and short proof for the case that the underlying distribution function F is discrete, and then extends the result to the general F. In other proofs underlying iid sequences of random variables with continuous distributions are considered to be the "ideal" case. In this paper discretization of the underlying iid…

This study was intended to determine whether sex-linked mathematics achievement and contextual differences persist into the university years. A random sample of 150 first-year mathematics students enrolled at a midwestern university was identified. A common 30-item calculus readiness test and a 37-item questionnaire, dealing with students'…

To assist the College Board Calculus Development Committee in arriving at a decision regarding the policy that should be followed in allowing the use of calculators on the Advanced Placement (AP) examinations after 1980, a questionnaire was developed. It obtains information from secondary school mathematics teachers about the extent to which…

THIS ANNOTATED BIBLIOGRAPHY IS A COMPILATION OF A NUMBER OF HIGHLY REGARDED BOOK LISTS CONSISTING OF LIBRARY BOOKS AND TEXTBOOKS FOR GRADES 7-12. THE BOOKS IN THIS LIST ARE CURRENTLY IN PRINT AND THE CONTENT IS REPRESENTATIVE OF THE FOLLOWING AREAS OF MATHEMATICS--MATHEMATICAL RECREATION, COMPUTERS, ARITHMETIC, ALGEBRA, EUCLIDEAN GEOMETRY,…

Described is a general college curriculum in mathematics that can be taught by a college staff with as few as four teachers. This report considers four related problems in mathematical education, particularly in colleges of arts and sciences. First, there is the problem of uncertainty about curriculum content and sequence. Second, the…

These materials were written with the aim of reflecting the thinking of Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics K-6. In view of the experiences of other curriculum groups and of the general discussions since 1963, the present report initiates the next step in evolving the "Goals".…

The aims of the study were to explore the effects of teaching heuristics in a calculus course and to generate hypotheses about related changes in heuristic usage and problem solving performance. Thirty college students in two classes participated and a Solomon four-group research design was used. Students from one group in each class were…

This document is the report of a curriculum writing session, and covers three activities: (1) a textbook for grade seven, written using the outlines produced the previous year (SE 012 735), was reviewed and criticized; (2) the outlines for grades eight and nine, also produced the previous year, were completed in greater detail; and (3)…

This report considers the mathematics required by life science students (those with majors in agriculture and renewable resources, all branches of biology, and medicine) who have successfully completed the usual pre-calculus courses. A core is proposed, to include one year of calculus, some linear algebra, and some probability and statistics.…

An experiment in which a minicomputer was used as an instructional aid in a calculus classroom and as a laboratory device for students is described. (SD)

This paper discusses ways of discussing limits in the secondary classroom. Particular attention is paid to showing that hypothesized answers are not limits to given sequences. (SD)

This paper describes the nature and use of a computer-assisted sequence of instruction in college-level mathematics. Units in differential and integral calculus and geometry are described. The authors claim that students acquire increased confidence in their knowledge and problem-solving ability. (SD)

Describes a method being developed for teaching mathematical physics at the college level without the use of calculus. (SL)