Finding a fractional number equal to an infinite decimal is solved by two usual methods. Then a third method is discussed that allows students to avoid having to confront the idea of an attained infinity of symbols. (MNS)

An approach to teaching the proof of Lagrange's theorem reverses the traditional path of instruction. The route described first teaches that the order of an element always divides the order of the group, then moves to proving that the order of a subgroup divides the order of the group. (MP)

Suggests that a women's sense of values (especially a strong sense of community) prohibits success in higher mathematics. A study of mathematics majors (N=168, half male, half female) revealed significant sex differences in the socialization of mathematics, females being more sensitive to social obligations/pressures than to intellectual isolation…

Pure and applied mathematical research is discussed briefly. The author gives an example of mathematical research on functional differential equations that was motivated by a student error on a calculus examination. (MK)

A problem concerned with a ball on a billiard table is discussed. A theorem and corollaries regarding the path of the ball are formulated and proved. (MK)

The decline in enrollment in mathematics courses at universities is used as evidence of the increasing irrelevance of the mathematics done and taught at that level. (MP)

In this issue's "Classroom Notes" section, the following papers are discussed: (1) "Constructing a line segment whose length is equal to the measure of a given angle" (W. Jacob and T. J. Osler); (2) "Generating functions for the powers of Fibonacci sequences" (D. Terrana and H. Chen); (3) "Evaluation of mean and variance integrals without…

For the past two years, Achieve, Inc. has worked with the Transition Mathematics Project (TMP), a collaborative project of K-12 schools, community and technical colleges, and baccalaureate institutions within the state of Washington, as it developed mathematics standards that "define the core knowledge and skills expected of students entering…

This paper cites information received from a number of sources, e.g., mathematics teachers in two-year colleges, publishers, and convention speakers, about the nature of discrete mathematics and about what topics a course in this subject should contain. Note is taken of the book edited by Ralston and Young which discusses the future of college…

This book is a translation of a Russian text. The translation is exact, and the language used by the author has not been brought up to date. The volume is probably most useful as a source of supplementary materials for high school mathematics. It is also useful for teachers to broaden their mathematical background. Chapters included in the text…

THIS REPORT PRESENTS A PROGRAM FOR THE UNDERGRADUATE MATHEMATICAL PREPARATION OF ENGINEERS AND PHYSICISTS. THE FOLLOWING STATEMENTS SERVE AS UNDERLYING ASSUMPTIONS FOR ANYONE EXPECTING TO MAKE USE OF THE RECOMMENDATIONS--(1) THE PROGRAM IS ONE FOR THE PRESENT AND THE PROPOSALS ARE SUCH THAT THEY CAN BE CONTINUALLY MODIFIED TO KEEP UP WITH FUTURE…

This programed booklet is designed for the engineering student who understands and can use vector and unit vector notation, components of a vector, parallel law of vector addition, and the dot product of two vectors. Content begins with work done by a force in moving a body a certain distance along some path. For each of the examples and problem…

This is Part III of the first volume of the proceedings of the Committee on the Undergraduate Program in Mathematics (CUPM) Geometry Conference, held at Santa Barbara in June, 1967. The purpose of the conference was to consider the status of geometry in colleges at the undergraduate level. The conference, attended by undergraduate mathematics…

The National Study of Mathematics Requirements for Scientists and Engineers is concerned with establishing the mathematics experiences desired for the many specializations in science and engineering, such as microbiology, organic chemistry, electrical engineering, and molecular physics. An instruction and course content sheet and a course…