This paper presents implementation details related to the freshman integrated curriculum at Texas A&M University. Specifically, the need for strong integration between physics, calculus, engineering problem solving, engineering design graphics, and English is emphasized. The paper presents a brief summary of the design and pilot implementation…

This document is concerned with developing an understanding of problem solving by providing tasks to help students with their problem solving strategies. These tasks were used by Vermont teachers during the pilot years of the High School Mathematics Assessment and were selected by attendees of the June, 1995 Research Scoring meeting. Tasks are…

The Cockcroft Report on English Schools recommends that all schools design their syllabuses and examinations on the assumption that all students will have access to calculators. How to use calculators sensibly to improve what is taught and how curriculum content may change are discussed. (MNS)

A tool to aid elementary calculus students in the computation of unusual limits is reviewed. (MP)

A course that incorporates a computer program as a tool to take a more detailed look at differential equations is described. (MP)

An organized series of steps designed to help students solve related rate problems often found in beginning calculus is presented. Two example problems are taken through five steps of solution. (MP)

The lesson described combines mathematics, science, and literature, and is easily adaptable for use with classes in basic mathematics, geometry, analytic geometry, or calculus. (MP)

A decade after mathematicians began a crusade to make calculus more relevant to undergraduate students ("Reform Calculus"), a backlash threatens to derail the effort and divide the profession. Critics charge the movement has watered down mathematics courses, teaching only superficial use of skills. The debate is fierce and the stakes…

Investigates gender-related effects on the Western Australian Calculus Tertiary Entrance Examinations for the period 1995-2000, three years before and three years after graphics calculators were introduced. Considers students' total examination scores, scores on questions grouped by curriculum components, and students' use of graphics calculators…

Compared was the content of what is taught and what is tested in a high school calculus course. Results showed differences in content coverage across teachers and differences in the overlap between content taught and content tested. Methodological issues in the investigation of teacher grading practices are discussed. (CW)

Presented is an alternate way to derive R from Taylor's Theorem without involving the (n + 1)st derivative of f. Included is the procedure for estimating the bounds of R. (KR)

Presented are activities that help students understand the idea of a vector field. Included are definitions, flow lines, tangential and normal components along curves, flux and work, field conservation, and differential equations. (KR)

Discusses differences between computer-enhanced learning (CEL) and computer-aided learning (CAL), and describes a microcomputer-based graph-plotting program called Capgraph that was developed for use in a college calculus course. Results of a course evaluation are presented; student attitudes are described; and future considerations are discussed.…

Supersolids furnish an ideal introduction to the calculus topic of infinite series, and are useful for combining that topic with integration. Five examples of supersolids are presented, four requiring only a few basic properties of infinite series and one requiring a number of integration principles as well as infinite series. (MNS)