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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

Mazur, Kristen; Taylor, Laura – PRIMUS, 2022

According to the MAA Instructional Practices Guide, deep learning requires student engagement with content both inside and outside the classroom. Hence, mathematics instructors must work to engage students in the learning experience. Higher education research often equates engaged learning and active learning, but what does engaged learning mean…

Descriptors: Student Attitudes, Learner Engagement, Calculus, Active Learning

Prabhu, Sunitha – PRIMUS, 2022

Teaching Mathematics to tertiary students can be a challenge to educators, mainly because they must deal with learners' varying levels of readiness. Some of the factors attributing to the variability are learners' perceptions of mathematics, their previous learning experiences, and fear of failure. We implemented a teaching approach to facilitate…

Descriptors: Student Attitudes, Attitude Change, Mathematics Education, Student Experience

Oremland, Lucy S.; Dunmyre, Justin R.; Fortune, Nicholas – PRIMUS, 2022

In this paper, we discuss mathematical modeling opportunities that can be included in an introductory Differential Equations course. In particular, we focus on the development of and extensions to the single salty tank model. Typically, salty tank models are included in course materials with matter-of-fact explanations. These explanations miss the…

Descriptors: Inquiry, Active Learning, Mathematical Models, Calculus

Douventzidis, Andrew; Landquist, Eric – PRIMUS, 2022

The typical trigonometry, precalculus, or calculus student might not agree that logarithms are hot stuff, but we drew motivation from chili peppers to help students get a better taste for logarithms. The Scoville scale, which ranges from 0 to 16,000,000, has been the sole quantitative metric to measure the pungency (spiciness) of peppers since its…

Descriptors: Numbers, Food, Rating Scales, Sensory Experience

Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Fulton, Elizabeth W. – PRIMUS, 2022

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

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

Fulton, Elizabeth W.; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle – PRIMUS, 2022

This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into…

Descriptors: High Schools, Secondary School Mathematics, Mathematics Instruction, Undergraduate Study

Rohde Poole, S. B. – PRIMUS, 2022

This paper is written to provide ideas and guide faculty who want to design a mathematical modeling course for undergraduate mathematics majors and minors. We discuss course goals, assignments, and projects that can be used to help students gain experience relevant for careers and mathematical modeling opportunities. The authors designed this…

Descriptors: Undergraduate Students, Mathematics Instruction, Majors (Students), Mathematical Models

Ecke, V.; von Renesse, C. – PRIMUS, 2022

In this paper, we invite the reader to think deeply about professional development opportunities for faculty. The focus of this professional development is to improve teaching and learning by including more inquiry in the mathematics classroom. Building on theories of teaching and learning, we develop the idea of "teaching procedures"…

Descriptors: Inquiry, Active Learning, Faculty Development, Mathematics Teachers

Oremland, Lucy S.; Szabo, Csilla – PRIMUS, 2022

In this paper, we present an overview of a series of 1-credit applied problem solving courses. The goal of these courses was to help students develop their oral and written communication skills, ability to work as a team, and general problem solving skills through preparation and participation in the Mathematical Contest in Modeling (MCM) and…

Descriptors: Interdisciplinary Approach, Problem Solving, Active Learning, Student Projects

Kerrigan, John; Prendergast, Lydia – PRIMUS, 2022

As part of a departmental reform project, a large University converted a "Precalculus College Mathematics" lecture-based course for 97 students into an active learning flipped classroom for first-year engineering students. The curriculum was designed specifically to provide applications of pre-calculus in various engineering subjects.…

Descriptors: Flipped Classroom, Calculus, Mathematics Education, Engineering Education

Hwang, Jihye; Castle, Sarah D.; Karunakaran, Shiv Smith – PRIMUS, 2022

Collegiate mathematics instructors are moving away from traditional lecture-based teaching practices to accommodate the pedagogies that support more active student learning. As part of the movement, groupwork has been increasingly implemented. At the same time, mathematics classrooms have become increasingly diverse and also in the distribution of…

Descriptors: College Faculty, Mathematics Teachers, College Mathematics, Teaching Methods

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

Rämö, Johanna; Lahdenperä, Juulia; Häsä, Jokke – PRIMUS, 2021

Over the past 9 years, we have implemented, developed, and refined a novel student-centered teaching method called Extreme Apprenticeship in university mathematics context. In this paper, we report the theoretical orientation behind the method, as well as its practical implementation. We also reflect on our experiences gained from using it in our…

Descriptors: College Mathematics, Mathematics Instruction, Teaching Methods, Student Centered Learning