This is Part of a series of 41 Calculus Based Physics (CBP) modules totaling about 1,000 Pages. The modules include study guides, practice tests, and mastery tests for a full-year individualized courses in calculus-based physics based on the Personalized System of Instruction (PSI). The units are not intended to be used without outside materials;…

Contains an update of an earlier listing of software for mathematics instruction at the college level. Topics are: advanced mathematics, algebra, calculus, differential equations, discrete mathematics, equation solving, general mathematics, geometry, linear and matrix algebra, logic, statistics and probability, and trigonometry. (PK)

Reviews the message and quality of the film "Stand and Deliver" which is about the methods of a Hispanic mathematics teacher in east Los Angeles and the success of his students. Gives a description of the teacher, his background, and his attitudes. Summarizes the plot of the film. (CW)

An advanced placement calculus program is described that incorporates IBM personal computers, conference telephone connections, modems that transmit computer signals over the phone lines, OPTEL graphics that allow the users to "write" on their computer screens, and a sophisticated package of calculus software used for homework…

Reviews the findings from two international studies of mathematics achievement that have been conducted over the past 20 years. The majority of twelth-grade, college-bound American students scored among the lowest quarter of countries in the latest study. Includes tables and graphs. (MD)

This paper presents the results of a pilot study conducted to examine Web-based instructional content for mathematics. Two research questions were posed during the study: (1) how is technology being used to represent mathematical concepts online? and (2) how do the representations work together as a system? A mixed method content analysis design…

We are studying two groups of preservice teachers' conceptions, progression and especially the concept of function in connection to y=x+5 when they are taking a course in algebra or one in calculus in their third and sixth term, respectively, in a teacher preparation program. There is a similar development in that they use to a higher degree a…

This report describes a workshop on developing a set of three introductory mathematics courses using new pedagogical techniques and computer technology. The courses provide underprepared students with multiple entry points into the study of mathematics and serve as a gateway for students' continued study of mathematics. These workshop courses in…

This project developed materials for an innovative new approach to calculus for students in business, economics, liberal arts, management, and the social sciences. With the focus on rates and accumulation of change and their interpretations in real life situations, the materials are data driven, technology based, and feature a unique modeling…

Explores what kinds of calculus-related insights seem to typify calculus-related reasoning. Introduces "qualitative calculus" in which learning is focused on synthesis. Discusses the resemblance and difference between traditional calculus and qualitative calculus, advantages of learning qualitative calculus, and how understanding qualitative…

Outlines a pair of projects used in introductory calculus that are inspired by techniques archaeologists use in the analysis of pottery. These real-world application problems appeal to students who are not necessarily interested in the standard application of calculus. (Author/DDR)

Describes a Total Quality Management-based system of instruction that is used in a variety of undergraduate mathematics courses. The courses that incorporate this approach include mathematics appreciation, introductory calculus, and advanced applied linear algebra. (DDR)

Presented is a mean-value theorem that generalizes the Taylor-Lagrange formula. Discussed is the asymptotic behavior of the remainder term of the formula. Several numerical schemes are derived to approximate the solution to initial-valued first order differential equations. (KR)

Describes three teaching activities for secondary school mathematics classroom: designing a house; guessing the slope function in a calculus course; and solving the six problems of bisymmetric matrices. (YP)

Proposed is a flow-chart and related formulas to obtain expressions for the derivatives of the old thermodynamic function in terms of new variables, the new function and its derivatives, and derivatives of the old function, involving only measurable quantities. (CW)