This curated collection covers a selection of PRIMUS articles published over a roughly 12-year period that focus on modeling and applications. The collection includes sections on individual projects, courses with a significant modeling component, and modeling and applications in extracurricular settings and throughout the curriculum.

Of the many disciplines that rely on calculus, physics is among those with the strongest connections to this branch of mathematics. For instance, the derivative--one of the key notions of calculus--is used to describe velocity and acceleration, which play a central role in mechanics. In post-secondary education, in particular at the college level,…

This study presents a bibliometric analysis of research on mathematics education from 1980 through 2020. The purpose of the study is to provide scientific data on the distribution pattern of mathematics education journals, the most prolific authors, countries, institutions, current research topics, potential international collaboration, and…

Several mathematicians have expressed their criticism of calculus instruction and some have developed innovations. This paper reviews the criticism and innovations and then questions the approach and the emphasis of the reformers. (Contains 34 references.) (Author)

Two packages in computer graphics are described that can represent three-dimensional surfaces in two dimensions. (MP)

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…

This report includes a general overview of the literature on computer use at the two-year college level and in specific academic disciplines, and a description of the development of a computer assisted instruction (CAI) program in linear algebra. The literature review was based on articles from journals, Dissertation Abstracts International, a…

The history of the journal "Esercitazioni Matematiche" (1921-43) edited by the "Circolo Matematico di Catania" for university students is described. A selection of proposed problems with some of their solutions is reported. (Author)

Abstracts of 12 mathematics education research reports and critical comments (by the abstractors) about the reports are provided in this issue of Investigations in Mathematics Education. The reports are: "More Precisely Defining and Measuring the Order-Irrelevance Principle" (Arthur Baroody); "Children's Relative Number Judgments:…

Contained in these proceedings are: (1) two lectures; (2) reports from four working groups, three review groups, and three special groups; and (3) a list of participants. Lecture I, by Caleb Gattengo, was entitled "Reflections of 40 Years of Work on Mathematics Teaching." Lecture II, by David Hawkins, was entitled, "Understanding…

Discusses results from studies reported from 1958-86 examining the different methods of teaching calculus. Alternatives to lecture presentations to supplement and enhance learning include discovery and group learning, self-paced classes, programed materials, and use of computers. (over 50 references) (MDH)