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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

Rapke, Tina; Hall, Jennifer; Marynowski, Richelle – PRIMUS, 2021

We describe a method that instructors can use to grade tests and assignments that can be used in follow-up inquiry-based activities in class to review material. The grading process is essentially a sorting of student assignment/test responses based on the instructor's conception of what makes responses acceptable. The instructor can assign a grade…

Descriptors: Grading, Assignments, Tests, Inquiry

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

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

Krause, Andrew J.; Maccombs, Ryan J.; Wong, Willie W. Y. – PRIMUS, 2021

Our traditional model of calculus instruction at a large public research university emphasized factual knowledge and procedural fluency with few realistic applications, leaving a chasm between classroom mathematics and disciplinary practice. Amid an ongoing effort by our department to improve undergraduate learning outcomes, we replaced…

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

Bennoun, Steve; Holm, Tara – PRIMUS, 2021

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

Descriptors: Mathematics Instruction, Teaching Methods, Educational Change, Active Learning

Hancock, Emilie; Franco, Lorraine; Bagley, Spencer; Karakok, Gulden – PRIMUS, 2021

As calculus instruction moves further from lecture-based instruction toward student-centered pedagogy, support services must align with the changing goals for the course. This paper describes the work of a department as they collectively design and redesign a co-requisite Calculus I course, in an effort to better promote students' academic and…

Descriptors: Teaching Methods, Mathematics Instruction, Calculus, Social Integration

Ellington, Roni; Barber, Janet; Tannouri, Ahlam; Syafrida, Syafrida; Nkwanta, Asamoah – PRIMUS, 2021

In this paper, we provide a report of preliminary findings of the Morgan State University (MSU) Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) project and its focus on culturally responsive teaching (CRT) as an active learning framework for pre-calculus instruction. The paper concludes with a…

Descriptors: Calculus, Mathematics Instruction, College Mathematics, Culturally Relevant Education

Maciejewski, Wes – PRIMUS, 2021

What if your students could access "any" resource during a test? How would they react? How would "you" react? This paper presents some results from a trial of allowing students access to notes, calculators, and any device connected to the internet, which occurred during a midterm in a second-year ordinary differential equations…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Students, Mathematics Tests

Becker, Paul; Medwid, Mark – PRIMUS, 2021

Almost all finite groups encountered by undergraduates can be represented as multiplicative groups of concise block-diagonal binary matrices. Such representations provide simple examples for beginning a group theory course. More importantly, these representations provide concrete models for "abstract" concepts. We describe Maple lab…

Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Students, Assignments

Yao, Guangming; Black, Kelly; Ramsdell, Michael; Skufca, Joseph – PRIMUS, 2020

Improving student success rates in introductory calculus and physics courses is critically important for our students' path in STEM fields. Many of the students who have an intuitive understanding of physics fail calculus and are pushed to delay or drop their majors in technical fields. One way of addressing this issue is by adopting a program…

Descriptors: STEM Education, Undergraduate Students, Success, Mathematics Achievement

Hanusch, Sarah – PRIMUS, 2020

A summative portfolio is a project completed at the end of the semester that gives a student an opportunity to look at a course as a whole. This study investigates whether collegiate mathematics students gain a deeper understanding of course material through the portfolio project, via an analysis of the students' work, and a survey of students'…

Descriptors: Undergraduate Students, Alternative Assessment, Portfolio Assessment, Summative Evaluation

Carducci, Olivia M. – PRIMUS, 2020

The activity described in this paper is based on the idea that reading an introductory undergraduate mathematics text is similar to reading instructions. I want my students to think about how to read when the goal is to learn to complete a task. I give them written instructions for doing a card trick and ask them to complete the trick. The…

Descriptors: Undergraduate Students, College Mathematics, Mathematics Instruction, Reading Instruction

Hodge, Angie; Wanek, Katie; Rech, Janice – PRIMUS, 2020

In this paper, we will discuss a type of activity that lets the mathematics classroom become a place where students can learn more than mathematical content. Specifically, students can learn interdisciplinary skills in the area of communication (both verbal and non-verbal) and debate skills that are often taught in communication or English…

Descriptors: Interdisciplinary Approach, Communication Skills, Learning Activities, Mathematics Instruction

David, Erika J.; Hah Roh, Kyeong; Sellers, Morgan E. – PRIMUS, 2020

This paper offers instructional interventions designed to support undergraduate math students' understanding of two forms of representations of Calculus concepts, mathematical language and graphs. We first discuss issues in students' understanding of mathematical language and graphs related to Calculus concepts. Then, we describe tasks, which are…

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