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Apkarian, Naneh; Kirin, Dana; Gehrtz, Jessica; Vroom, Kristen – PRIMUS, 2021

The Mathematical Association of America's "Precalculus to Calculus: Insights and Innovations Conference" brought together representatives of mathematics departments from across the country with members of two national research projects to share and discuss both research findings and on-the-ground concerns of faculty. In this article, we…

Descriptors: College Mathematics, Undergraduate Study, Mathematics Education, Conferences (Gatherings)

berg, jenn; Buell, Catherine A.; Day, Danette; Evans, Rhonda – PRIMUS, 2019

As an interdisciplinary team, we set out to create an applied statistics course that would cover the traditional introductory statistics topics in a consistent framework of social justice. The goal was to motivate students to understand and learn math while deepening their understanding of the interplay, at local and global levels, between social…

Descriptors: Mathematics Instruction, Social Justice, Interdisciplinary Approach, College Mathematics

Oates, Greg; Paterson, Judy; Reilly, Ivan; Woods, Grant – PRIMUS, 2016

We report on three approaches taken to incorporate collaborative activities into undergraduate mathematics classes. There is strong evidence from research in K-12 classrooms that these, and similar, approaches support a range of positive learning outcomes for students. Despite the potential benefits the cited studies have shown, research into the…

Descriptors: Undergraduate Study, College Mathematics, Mathematics Instruction, Cooperative Learning

Pankavich, Stephen; Swanson, Rebecca – PRIMUS, 2015

Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the Spectral Theorem and is commonly used within a variety of fields, including statistics,…

Descriptors: Factor Analysis, Mathematics Instruction, College Mathematics, Algebra

Gerhardt, Ira – PRIMUS, 2015

An experiment was conducted over three recent semesters of an introductory calculus course to test whether it was possible to quantify the effect that difficulty with basic algebraic and arithmetic computation had on individual performance. Points lost during the term were classified as being due to either algebraic and arithmetic mistakes…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Calculus

Lutzer, Carl V. – PRIMUS, 2015

We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random. We assume only a basic understanding of probability.

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Equations (Mathematics)

Bargagliotti, Anna E.; Orrison, Michael E. – PRIMUS, 2014

Increased importance is being placed on statistics at both the K-12 and undergraduate level. Research divulging effective methods to teach specific statistical concepts is still widely sought after. In this paper, we focus on best practices for teaching topics in nonparametric statistics at the undergraduate level. To motivate the work, we…

Descriptors: Nonparametric Statistics, Mathematics Instruction, College Mathematics, Undergraduate Study

Block, Robert M. – PRIMUS, 2012

The use of open-book tests, closed-book tests, and notecards on tests in an introductory statistics course is described in this article. A review of the literature shows that open-book assessments are universally recognized to reduce anxiety. The literature is mixed however on whether deeper learning or better preparation occurs with open-book…

Descriptors: Statistics, Mathematics Instruction, College Mathematics, Tests

Johnston, William; McAllister, Alex M. – PRIMUS, 2012

Successful outcomes for a "Transition Course in Mathematics" have resulted from two unique design features. The first is to run the course as a "survey course" in mathematics, introducing sophomore-level students to a broad set of mathematical fields. In this single mathematics course, undergraduates benefit from an introduction of proof…

Descriptors: Majors (Students), Introductory Courses, Mathematics Instruction, Logical Thinking