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Boudreaux, Gregory M.; Haugh, Janine; Johnson, Ed; Tinney, Laura; Whitlock, Cathy – PRIMUS, 2022

Several publishing companies now offer competing brands of online homework (OHW) software. Students rarely have a voice in choosing their required course materials, even though, ultimately, they will be asked to use and pay for these systems. In this study, Calculus I students each tested three different OHW systems. The students were then asked…

Descriptors: Mathematics Instruction, Calculus, Homework, Educational Technology

Palmer, Katrina; Bauldry, William; Bossé, Michael J.; Post, Jaehee – PRIMUS, 2022

Most any students can explain the meaning of "a[superscript b]", for "a" ? R and for "b" ? Z. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" ? R and for "c" ? Z. However, few may be able to explain "a[superscript di]" or…

Descriptors: Mathematics Instruction, Mathematical Concepts, Secondary School Mathematics, College Mathematics

Gaines, Benjamin – PRIMUS, 2022

In introductory level math classes, writing prompts can be used as part of weekly homework assignments to encourage students to think more deeply about the subject at hand. These writing prompts present scenarios related to recently learned material in a new context and require students to submit a short written response online. Writing prompts…

Descriptors: Introductory Courses, Mathematics Instruction, Cues, Writing (Composition)

Bennoun, Steve – PRIMUS, 2022

Cornell University has long offered a Calculus for Life Sciences course. In this case study, we report on how a team of pure mathematicians has modernized both the content and teaching methods of this course. The content went from a standard calculus course with few genuine applications in the life sciences to a course focusing on dynamical…

Descriptors: Mathematics Instruction, Calculus, Biological Sciences, Interdisciplinary Approach

Stoner, Melissa A.; Joyner, Robert L. – PRIMUS, 2022

Relating mathematics learned in the classroom to real situations increases student motivation and enhances learning. In this paper, we provide an example of a classroom application of calculus to physiology in two courses: "Differential Equations" and "Calculus I for Biology and Medicine." We designed and implemented a project…

Descriptors: Mathematics Instruction, Calculus, Mathematical Models, Physiology

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

Norton, Douglas E. – PRIMUS, 2022

This paper introduces a course design for a post-Calculus undergraduate course on mathematical modeling for the life sciences. The course includes differential equations, discrete, and cellular automata approaches (among others) to modeling questions in the life sciences, as well as a variety of biological topics. The course focuses on model…

Descriptors: Undergraduate Study, College Mathematics, Mathematical Models, Biological Sciences

Nievergelt, Yves – PRIMUS, 2022

This article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing…

Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Undergraduate Students

Aligning Calculus with Life Sciences Disciplines: The Argument for Integrating Statistical Reasoning

Luque, Antoni; Mullinix, James; Anderson, Matt; Williams, Kathy S.; Bowers, Janet – PRIMUS, 2022

Governmental and educational organizations have pointed out that students coming into the biological sciences require stronger skills in statistics and data modeling that are not usually addressed in typical engineering-based calculus courses. Our work here documents how faculty in biology and mathematics addressed this issue at a large urban…

Descriptors: Mathematics Instruction, Calculus, Undergraduate Students, STEM Education

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

Jura, Matthew; Gerhardt, Ira – PRIMUS, 2022

In summer 2013, Manhattan College introduced an online summer "bridge to calculus" course for incoming first-year students in science, engineering, and mathematics education who marginally did not receive a calculus recommendation based on a mathematics placement test. In this paper, we describe the development of the bridge course and…

Descriptors: Summer Programs, Program Evaluation, Program Effectiveness, Calculus

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

A Case Study of Teaching Single Variable Calculus Traditionally vs. Virtually: A Semester Bifurcated

Collins, Christopher A.; Galbreath, David R. – PRIMUS, 2022

The pedagogical discussion between the merits of traditional learning versus online learning provides much discussion from both camps. Following the Coronavirus of 2019 pandemic in the spring of 2020, undergraduate students enrolled in the freshman Single Variable Calculus course at the United States Military Academy at West Point were forced to…

Descriptors: Online Courses, COVID-19, Pandemics, Calculus

Fleming, Sarah Ann; Lind, Joan; Ho, Anne M. – PRIMUS, 2022

In this study, we use Class Preparation Worksheets (CPWs) as pre-class reading assignments for a Calculus I course. We describe the implementation and data collection as well as a qualitative and quantitative analysis. Then, we discuss the implications for student engagement with course materials, a student-and-instructor feedback loop, impacts on…

Descriptors: Reading Assignments, Calculus, Worksheets, Teacher Student Relationship