This paper is essentially a story that can be used to help students understand some of the definitions found in a standard introductory real analysis course.

This paper deals with a brief introduction to major remarkable discoveries of the "soliton" and the "inverse scattering transform" in the 1960s. The discovery of the soliton (or the solitary waves) began with the famous physical experiments of the Scottish Engineer and Naval Architect John Scott Russell in the Glasgow-Edinburgh…

The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT) service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies…

The present study investigated the extent to which providing students with individualized performance feedback informed and directed their learning behavior. Individualized performance feedback was delivered to students using curriculum-based measurement progress indicators, either as a visual representation of ongoing performance in the form of a…

Supplemental Instruction has a long history of effective use in third level education in the United States. However, there are few rigorously controlled studies in which the potentially confounding effects of student aptitude and experience and of "volunteer effects" have been controlled. Analysis of the effects of peer assisted learning…

Investigates the effectiveness of teaching basic calculus concepts by two approaches. One group was taught by a concrete inductive method and the other by an abstract deductive method. (Editor/PG)

Recent developments are explained which use the concepts and methods of mathematical logic to provide a suitable framework for the development of the differential and integral calculus. (DT)

Notation and definition of the derivative function are discussed. (DT)

This unit provides some activities designed to familiarize the reader with the TI-59 and instructions on creating a library of programs on magnetic cards. (MP)

An axiomatic development of the derivative and the antiderivative is presented. (DT)