These proceedings are a written record of the research presented at the 42nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Mazatlán, Mexico, virtually beginning May 27, 2021 and in-person June 2-6, 2021. The conference was originally scheduled to take place…

We report the qualitative and quantitative results of incorporating interdisciplinary application projects and increasing the use of teaching with technology into Calculus I, II and III at the University of Colorado Denver. Minimal changes were made to the curriculum and minimal time was required of instructors to make the changes. Instructors…

This project served as a capstone event for the United States Military Academy sophomore Calculus II course. This multi-disciplinary problem-solving exercise motivated the link between math and biology and many other fields of study. The seven-lesson block of instruction was developed to show students how mathematics play a role in every…

The choice of pedagogy in statistics should take advantage of the quantitative capabilities and scientific background of the students. In this article, we propose a model for a statistics course that assumes student competency in calculus and a broadening knowledge in biology. We illustrate our methods and practices through examples from the…

This document constitutes a complete revision of the report of the same name first published in 1965. A new list of basic courses is described, consisting of Calculus I, Calculus II, Elementary Linear Algebra, Multivariable Calculus I, Linear Algebra, and Introductory Modern Algebra. Commentaries outline the content and spirit of these courses in…

Functions with a variety of properties (sets of discontinuities, unbounded derivations, etc.) are discussed. (SD)

A model for securing student input for curriculum construction, including textbook writing, through observing small groups of students at work is described; its application to the topic of limits of sequences and implications for curriculum development in general are discussed. (DT)

Calculus is overemphasized in elementary physics courses at the expense of other types of mathematical reasoning, especially modern algebra and numerical methods. Discusses approaches to several problems in physics using either a time-sharing computer terminal or symmetry arguments to solve problems at a level appropriate for liberal arts…

The fundamental results of integration theory are shown to follow from an axiomatic definition of the integral as a real valued function whose domain is a subset of the set of real valued functions of a real variable. (SD)

Presents a technique, using the method of variation of parameters for solving differential equations, for introducing Green's function early in an undergraduate curriculum. Presents various examples. (Author/MLH)

This is part two of a three-part SMSG calculus text for high school students. One of the goals of the text is to present calculus as a mathematical discipline as well as presenting its practical uses. The authors emphasize the importance of being able to interpret the concepts and theory in terms of models to which they apply. The text…