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The Eighth Characteristic for Successful Calculus Programs: Diversity, Equity, & Inclusion Practices

Hagman, Jessica Ellis – PRIMUS, 2021

Through a multi-year, national calculus study, researchers have recently identified seven characteristics of successful college calculus programs. We identified these seven characteristics by visiting five doctoral-granting mathematics departments with successful calculus programs and uncovering the common traits among them. These seven traits…

Descriptors: Mathematics Instruction, Calculus, Inclusion, Preservice Teacher Education

Radzimski, Vanessa; Leung, Fok-Shuen; Sargent, Pam; Prat, Alain – PRIMUS, 2021

We discuss an innovative course model used in first-year calculus courses at a large North American research university, which we refer to as the "Blended Model." We argue that our model takes the best features of lectures, flipped classrooms, and traditional recitations, and gathers them into a cohesive, robust structure that benefits…

Descriptors: Teaching Methods, Flipped Classroom, Calculus, Research Universities

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)

Bertrand, Elliott; McArdle, David T.; Thoma, Lubos; Wu, Li – PRIMUS, 2021

The percentage of college students receiving unproductive grades in introductory mathematics courses is a concern for post-secondary institutions across the country. Many factors can be targeted as potential explanations for this lack of success, yet none of these issues are more noteworthy than the fact that many students enter college…

Descriptors: College Students, Mathematics Instruction, College Mathematics, Mathematics Skills

Osborne, Jason M.; Cook, William; Bossé, Michael J. – PRIMUS, 2021

In this paper we introduce the reader to a foundational topic of differential geometry: the curvature of a curve. To make this topic engaging to a wide audience of readers, we develop this intuitive introduction employing only basic geometry without calculus and derivatives. It is hoped that this introduction will encourage many more to both…

Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, High Schools

El Turkey, Houssein; Turki, Salam; Kottegoda, Yasanthi – PRIMUS, 2021

Many active learning practices highly depend on students' advance preparation for the class. However, reading Calculus can be a challenging task to students. We address this concern by assigning targeted pre-class readings in multiple Calculus courses. We report on our implementations, provide students' feedback, and discuss the lessons learned…

Descriptors: Reading Assignments, Calculus, Flipped Classroom, Mathematics Instruction

Case, Joshua; Speer, Natasha – PRIMUS, 2021

In undergraduate mathematics, deductive reasoning plays important roles in teaching and learning various ideas, and is primarily characterized by the concept of logical implication. This comes up whenever conditional statements are applied, i.e., one checks if a statement's hypotheses are satisfied and then makes inferences. In calculus, students…

Descriptors: Calculus, Mathematics Instruction, Logical Thinking, Teaching Methods

Moore-Russo, Deborah; Kornelson, Keri; Savic, Milos; Andrews, Candace – PRIMUS, 2021

In this case study, we use organizational development and change theory to look at how the University of Oklahoma (OU) has attended to the mathematical pathway leading to STEM fields. Using multiple sources of data, we are able to create an informative narrative that provides the particular context of the situation and in-depth picture of the…

Descriptors: Organizational Change, Organizational Development, College Mathematics, STEM Education

Villalobos, Cristina; Kim, Hyung Won; Huber, Timothy J.; Knobel, Roger; Setayesh, Shaghayegh; Sasidharan, Lekshmi; Galstyan, Anahit; Balogh, Andras – PRIMUS, 2021

Research indicates multi-section coordination improves the academic performance of students in STEM education. This paper describes the process of coordination in Precalculus, Calculus 1, and Calculus 2 courses undertaken by a large department that grew from the merger of two institutions through a pilot program and a project grant. Components…

Descriptors: STEM Education, Calculus, Success, Mathematics Achievement

Goyer, Alysia; Lynch, Alison; Wand, Jeffrey – PRIMUS, 2021

With the goal of improving student success, the chancellor of the California State University (CSU) system issued an executive order that required all CSU campuses to eliminate remedial math courses as of Fall 2018 and place all first-year students into appropriate General Education (GE) mathematics/quantitative reasoning courses. The Mathematics…

Descriptors: Mathematics Instruction, Calculus, College Mathematics, College Freshmen

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

Gruber, Sean; Rosca, Raluca I.; Chazan, Daniel; Fleming, Elizabeth; Balady, Steve; VanNetta, Catherine; Okoudjou, Kasso A. – PRIMUS, 2021

Addressed toward course coordinators and departmental leaders interested in redesigning an undergraduate mathematics course, we highlight the steps our team at the University of Maryland, College Park has taken in bringing active learning to our Precalculus course. We provide examples of ways in which we have coordinated active learning across…

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

Lange, Karin E.; Deiger, Megan; Bourque, Matthew; Tingley, Peter; Peters, Emily; Jordan, Laurie E.; Giaquinto, Anthony – PRIMUS, 2021

In the context of national collaborative efforts to increase the prevalence of active learning strategies in undergraduate precalculus and calculus classrooms, we discuss the context, strategy, and processes used at one university to create change within a mathematics department. We highlight the use of a unified active learning approach and the…

Descriptors: College Mathematics, Mathematics Instruction, Active Learning, Teaching Methods

Ksir, Amy E.; Allman, Justin M.; Hetherington, Noble, III.; Selbach-Allen, Megan E.; Skipper, Daphne – PRIMUS, 2021

Over the past 10 years, the authors of this paper have implemented a series of project-based and inquiry-based learning initiatives in the calculus sequence at our institution. These initiatives took place in a department with an existing strong culture supporting teaching innovation and improvement. In this paper, we describe three initiatives in…

Descriptors: Calculus, Mathematics Instruction, Inquiry, Teaching Methods

Miller, E.; Fowler, J.; Johns, C.; Johnson, J., Jr.; Ramsey, B.; Snapp, B. – PRIMUS, 2021

We discuss a decade of initiatives to improve the teaching and learning of calculus at The Ohio State University. Calculus at OSU is taught in lecture/recitation format with large lectures and is tightly coordinated, so all innovations had to occur within that framework. We show how many smaller projects built upon one another to create a larger…

Descriptors: Mathematics Instruction, Calculus, College Mathematics, Active Learning