Reported is the development of a mathematics course for college freshmen of lower mathematics capabilities. Materials were geared toward multi-media presentation--classroom teacher in conjunction with video-lessons. A pilot study involved a group using new materials plus teacher with video-lessons, and a second group using new materials plus…

A method of approximating the point "c" at which a continuous function attains its mean value over an interval is described. The method is applied to tax tables. (SD)

Functions with a variety of properties (sets of discontinuities, unbounded derivations, etc.) are discussed. (SD)

Four methods of teaching algebra to educationally disadvantaged students entering college were compared. (SD)

A computer program is presented that generates problem sets involving sketching graphs of trigonometric functions using graphical addition. The students use calculators to sketch the graphs and a computer solution is used to check it. (MP)

A description is given of a senior seminar in which each student reported on a topic centered around the works of David Hilbert. A brief description of each topic is given as well as a list of references. (MP)

In this study, the subjects were found to produce better estimates of standard deviations by using a "range rule" than by a direct estimation procedure, particularly when the sample variances were small. No differences were found in the subjects' performance in making direct estimates of standard deviations and variances. (Author/MN)

One possible way of looking at the limit concept, from the learner's point of view, is proposed; it can easily be built up gradually with little risk of conscious or subconscious conflicts of concepts perceived to be closely related. (MN)

It is advocated that introductory calculus texts should present topics in a manner that is understandable to students without necessarily sacrificing rigour. Illustrative examples are given of a conversational approach to problem solving. (Author/MN)

The meaning of an "application" of mathematics is examined and sample real-world mathematical problems are given. (DT)

This paper considers the aspect of heuristic teaching in which theorems are introduced in the form of problems and the proofs of these theorems as solutions to problems. The traditional treatment along with an illustration of a heuristic approach is discussed for each of several well-known theorems. (MN)

A nontraditional approach of graphing equations using parallel axes produces some dual concepts when compared to graphing equations with the traditional perpendicular axes. (JT)

Misconceptions which students have about the convergence of an alternating series are identified, and counterexamples are provided for each of the misconceptions. (DT)

A statistic giving the maximum error of proportion is derived and applied to problems concerning TV ratings, sample size, and election polls. (DT)

Examples are given of difficulties that students have in determining extrema of real-valued functions of real variables. (DT)