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Calkins, Susanna; Grannan, Sharisse; Siefken, Jason – PRIMUS, 2020
This study explores the impact of Peer-Assisted Reflection (PAR), a structured active learning strategy that emphasizes peer feedback and reflection, on students' perceptions of mathematical thinking, and of the roles their peers and their instructors play in their learning process. This study also examines the impact of PAR on the students'…
Descriptors: Reflection, Peer Influence, Active Learning, Feedback (Response)
White, David – PRIMUS, 2019
In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents a model that a mathematician asked to teach statistics can follow. This model entails connecting with faculty…
Descriptors: Mathematics Instruction, College Mathematics, Student Projects, Teaching Methods
Fowler, Jim; Snapp, Bart; Johns, Carolyn; Andrews, Darry; Boros, Dan; Clemens, Herb; Ferdinand, Vic; Findell, Brad; Husen, Bill; Johnson, John H.; Lakos, Nela; Miller, Elizabeth; Ramsey, Bobby; Sheldon, Jenny; Talamo, Jim; Carlson, Tim – PRIMUS, 2021
An interactive open-source calculus textbook is compared to a popular commercial textbook. Structured as a non-inferiority study, use of the open-source textbook does not harm student outcomes, and there is evidence that the open-source textbook is better than the commercial textbook in promoting post-course enjoyment of mathematics and confidence…
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Textbooks
McClendon, David M.; Weller, Kirk; Trouba, Jerome; Brigance, Sandra; Dekker, Michael – PRIMUS, 2021
In this paper, we describe the evolution of calculus instruction at a mid-sized, career-oriented, comprehensive public university. Changes in practice, that began with a single faculty member implementing technology as a tool for student inquiry, have spread to other department faculty via support from an internal grant, workshops, and the use of…
Descriptors: Mathematics Instruction, College Mathematics, Educational Change, Calculus
Parsley, Jason; Rusinko, Joseph – PRIMUS, 2017
The "Collaborative Research Project" ("CRP")--a mathematics research experience for undergraduates--offers a large-scale collaborative experience in research for undergraduate students. CRP seeks to widen the audience of students who participate in undergraduate research in mathematics. In 2015, the inaugural CRP had 100…
Descriptors: Cooperation, Research Projects, College Mathematics, Undergraduate Students
Karls, Michael A. – PRIMUS, 2017
In this paper I will outline the process I have developed for conducting applied mathematics research with undergraduates and give some examples of the projects we have worked on. Several of these projects have led to refereed publications that could be used to illustrate topics taught in the undergraduate curriculum.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Student Research
Howell, Russell W.; Schrohe, Elmar – PRIMUS, 2017
Rouché's Theorem is a standard topic in undergraduate complex analysis. It is usually covered near the end of the course with applications relating to pure mathematics only (e.g., using it to produce an alternate proof of the Fundamental Theorem of Algebra). The "winding number" provides a geometric interpretation relating to the…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Mathematical Logic
Lucas, Krista L.; Lucas, Timothy A. – PRIMUS, 2022
It is increasingly important for mathematics students to engage in active learning along with discussion of material with their peers. "Slopes" is a mobile application designed to visualize solutions to differential equations and support active learning in the classroom. We implemented group activities using "Slopes" into an…
Descriptors: Mathematics Instruction, Equations (Mathematics), Active Learning, Computer Oriented Programs
Carlisle, Sylvia – PRIMUS, 2020
Specifications grading is a version of mastery grading distinguished by giving students clear specifications that their work must meet, and grading most things pass/fail based on those specifications. Mastery grading systems can get quite elaborate, with hierarchies of objectives and various systems for rewriting and retesting. In this article I…
Descriptors: Grading, Standards, Mathematics Instruction, Calculus
McAllister, Alex M.; Wiglesworth, Lesley; Wilson, John H. – PRIMUS, 2020
Creating a cohesive team of coworkers can be challenging in any organization, and an academic department is no exception. The Centre College Mathematics Department has established a culture of collegial collaboration by investing in developing a strong mathematical community of faculty and students, and through careful attention to the hiring and…
Descriptors: Collegiality, Mathematics Teachers, Mathematics Instruction, Teacher Student Relationship
Bazett, Trefor; Clough, Crystal L. – PRIMUS, 2021
Our department has experienced a significant culture transformation in its approach to teaching. This change is primarily the result of sustained focus on reforming two heavily coordinated sequences, Applied Calculus and Calculus. Initially catalyzed by pilot projects introducing a flipped-class format to these courses, the reforms led to broader…
Descriptors: Coordination, Educational Change, College Mathematics, Departments
Simic-Muller, K. – PRIMUS, 2019
This manuscript describes a quantitative literacy course focusing on issues of economic and racial justice, developed for a summer bridge program. The curriculum for the course, described in the manuscript, consisted of open-ended assignments that dealt with real-world issues and required basic modeling skills; whereas the culminating assignment…
Descriptors: Social Justice, Mathematical Models, Logical Thinking, Mathematics Skills
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
Unfried, Alana; Canner, Judith – PRIMUS, 2019
Many students experience mathematics as a neutral entity, without understanding its impact on social justice and equity. Students must understand that mathematics and statistics are powerful tools for creating social change, and that students themselves are capable to enact positive social change through their mathematical abilities. In this…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Social Justice
OShaughnessy, J. – PRIMUS, 2019
This paper investigates the advantages of using a two-step homework system. First, technology is used to collect and grade traditional homework. Then, students are expected to present and explain problems from their assignments in class. Several versions of implementation are discussed for different course levels and sizes. Through these methods,…
Descriptors: Mathematics Instruction, College Mathematics, Homework, Educational Technology