Discusses the need for a geometry course in a two-year college mathematics program. Provided are guidelines for developing the geometry course separately or integrally with current curricular pattern. (25 references) (YP)

Considers the reflections of the graphs of a function through an arbitrary line. Determines whether the result is a function and which functions are reflected on to themselves through a given line. (YP)

Presents classroom curriculum and student projects that use dynamical systems--something that changes over time, such as weather or populations--to capture students' attention. (MKR)

Considered is the open-ended question of the various means of marking an n-inch ruler so that the distance of any integral number of inches from 1 to n can be ascertained with a single measurement. The relationship between a sparsely marked ruler, which is one gracefully marked with the fewest number of marks, and specific discrete graphs is…

Following a short history of calculus reform efforts, this article discusses curriculum development and research on student learning with respect to the concepts of function, limits and continuity, the derivative, and the integral; the availability and influence of new technologies on curriculum development; the consideration of the role of the…

Under the assumption that the current perplexing state of calculus instruction is a result of the presuppositions inherent within conventional teaching practices, the author examines why calculus is taught the way it is, indicates unprofitable practices that result from the way calculus is taught, and recommends possible ameliorative actions. (JJK)

Presented are several geometrical and graphical methods of solving quadratic equations. Discussed are Greek origins, Carlyle's method, von Staudt's method, fixed graph methods and imaginary solutions. (CW)

Presented are five short articles which describe innovations in mathematics teaching. Included are "Polar Summation,""The Age of the Solar System,""Forward Homework--A Motivational Tool,""Trigonometric Identities through Calculus," and "Algorithms for Evaluation of Polynomials." (CW)

Describes a scheme for testing and assisting students with the mathematical skills essential for math courses. Discusses the aims and philosophy of the scheme and describes the logistics of running such a scheme. Reviews student performance and discusses those skills that students are strong in or have difficulty mastering. (Author/ASK)

Outlines an attempt at integrating web-based activities into a precalculus course at a large university in which discussion of the development of the activities is initially provided. Investigates the effects of the use these activities in four classrooms. Focuses on the use of the activities by two instructors, only one of whom received…

An inconsistency between American and British accounting methods led the author to this problem whose solution involves linear equations and geometric series. (SD)

This is a resource book that indexes all articles published in "The Mathematics Teacher" from 1976-1985 (Volumes 69-78). Entries are indexed alphabetically by author and subject. "The Mathematics Teacher" is a journal devoted to the improvement of mathematics instruction in the junior high schools, high schools, and colleges.…

In July 1982, a conference was held at Williams College in Williamstown, Massachusetts, to discuss the need for more discrete mathematics in the first two years of the core undergraduate mathematics curriculum. This paper reviews the recommendations that were made during the conference, the progress that has been made in the implementation of…

In 1981, a survey was conducted to determine the methods used in Arizona community colleges to place students in English composition courses. Questionnaires concerning placement practices were sent to 32 community college administrators, and 21 usable responses were returned. Study findings included the following: (1) while no college required an…

This paper proposes an hypothsis describing how some college students incorrectly view semantically laden letters and provides both clinical and written data that supports that hypothesis. Several word problems were given to nine college math students. These students were then interviewed as they attempted to solve these problems. In addition to…