Most college algebra courses are offered in the spirit of preparing the students to move on toward calculus. In reality, only a vanishingly small fraction of the million students a year who take these courses ever get to calculus. This article builds a strong case for the need to change the focus in college algebra to one that better meets the…

This project was designed to address gender issues in mathematics education. The author's findings led her to conclude that students construct their own understanding and knowledge as a result of activities in the classroom. Constructivism, a theory of knowledge based on the idea that people construct their own realities by interacting with the…

How instructional television can supplement the high school math curriculum. (Author)

Reported are the results of an experiment designed to test the effectiveness of computer use by junior college students in a calculus class. The primary objective involved the replacing of pencil and paper computations by a computer program output. The topical areas of investigation were limits, extrema, functional evaluation, and integration.…

A computer-based instructional system for teaching the notion of mathematical proof is described. The system is capable of handling formalizations of the full predicate calculus with identity and, with minor work, definite description. Designed as an instructional device, the program is also the basis for a number of research projects involving…

This brief article summarizes the major contributions of several British mathematicians to the development of the calculus. (SD)

Arithmetic combinations of functions and their arguments are discussed, and resulting properties are related to first-year calculus topics. (MP)

Described is a sequence of calculus courses utilizing the computer to enhance concepts and ideas in calculus. (JLH)

A quasi-experimental, factorial design was employed to determine the interactive effect of motivation, math preparation, and instructional method on achievement in a calculus course taught by two methods; personalized system of instruction (PSI) and the conventional method. (Author/STS)

Directions are given for using a gravity protractor in constructing an instrument for finding derivatives. (DT)

The development of the derivative because of being part of calculus in permanent dialectic, demands on one part an analytical, deductive study and on another an application of rochrematic methods, sources of resources, within calculus of derivative which allows to dialectically confront knowledge in its different phases and to test the results.…

The development of calculus and science by being permanent, didactic, demands on one part an analytical, deductive study and on another an application of methods, rhochrematics, resources, within calculus, which allows to dialectically conform knowledge in its different phases and to test the results. For the purpose of this study, the motivation…

Two approaches are discussed for calculating the work necessary to pump water from a conical or parabolic container. The direct method derived from the definition of work is easy to misuse, as illustrated by a student's incorrect solution. (JP)

A look at a computer-oriented calculus test recently developed by the Center for Research in College Instruction in Science and Mathematics. (AK)