This revision of a 1965 publication lists approximately 700 titles on mathematics for four-year colleges. The titles are grouped by mathematical content; included also are categories for general, foundations, journals, series, films, and foreign-language references. The purposes of the list are to provide: (1) students with introductory,…

This experiment attempted to teach abstract mathematics fo college freshmen with A.C.T. scores less than 15 in a three semester terminal course sequence. The course content included a formal mathematical language, set theory, Boolean Algebra, relations and functions, operations, cardinals and ordinals, the rational numbers, and college algebra.…

Repeatedly taking the square root with a calculator yields numbers with logarithmic-type properties, which can be used to define the logarithm functions. (MP)

A nine-point plane coordinated by the field of integers modulo three is examined using motion geometry. The conceptual advantages of teaching this geometry are emphasized. (MP)

Sums for divergent series that were seriously considered by eighteenth century mathematicians are shown to have reappeared as result of new interpretations for divergent series that make these previous conclusions valid. (MN)

A method for converting a three-dimensional coordinate system to a two-dimensional coordinate system is explained. (MN)

The author presents three methods for dealing with the problem of the number of tosses of a fair coin needed to obtain two consecutive heads. (MN)

Performance objectives for precalculus mathematics are listed after a look at the content of current calculus courses. (JT)

A problem illustrating how physics and mathematics complement one another when analyzing problems of the physical world is described. (JT)

External pacing and teacher supplementation of individualized instruction programs at the college level are found to be more effective than self-pacing and no teacher supplementation according to a review of fifty-seven research studies. (JLH)

Symbols commonly used in college-level mathematics are listed. For each symbol a brief commentary on its history, a description of the concept represented, and reference notes are provided. (SD)

Much of the current literature on the topic of discrete mathematics and calculus during the first two years of an undergraduate mathematics curriculum is cited. A relationship between the recursive integration formulas and recursively defined polynomials is described. A Pascal program is included. (Author/RH)

The forum is focused on thinking about and with algorithms as a way of unifying all one's mathematical endeavors. The lead article by Maurer presents examples and discussion of this point. Responses, often disagreeing with his views, are by Douglas, Korte, Hilton, Renz, Smorynski, Hammersley, and Halmos. (MNS)

An old way to determine asymptotes for curves described in polar coordinates is presented. Practice in solving trigonometric equations, in differentiation, and in calculating limits is involved. (MNS)

How to determine when there is a unique solution when two sides and an angle of a triangle are known, using simple algebra and the law of cosines, is described. (MNS)