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Flórez, Rigoberto; Mukherjee, Antara – PRIMUS, 2020

We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…

Descriptors: Mathematics Instruction, College Mathematics, Secondary School Mathematics, Undergraduate Study

Savitz, Ryan; Savitz, Fred; DiMarco, David; Hollingsworth, Blane – PRIMUS, 2020

This paper discusses a concept that we call "'m'-tile means," which are the arithmetic mean of data values that break a data set into "m"-1 equal parts. Studying "m"-tile means can engage students' critical thinking skills and demonstrate the concepts underlying commonly used measures of central tendency, and so they…

Descriptors: Mathematical Concepts, Statistics, Mathematics Instruction, Student Projects

Kilty, Joel M.; McAllister, Alex M. – PRIMUS, 2020

In our modern world, we are inundated and grapple with data daily. As mathematicians, we are often more comfortable discussing the behavior of functions presented analytically, in contrast with the data-driven or tabular presentations of functions ubiquitous in our culture. This paper introduces an entry-level course, Mathematical Modeling and…

Descriptors: Calculus, Teaching Methods, Mathematics Instruction, College Mathematics

Beagley, Jonathan; Capaldi, Mindy – PRIMUS, 2020

Homework is prevalent in mathematics courses, as are cumulative final exams. This study incorporated the memory science concepts of the "testing effect" and "spacing effect" in the homework and final exam of college mathematics courses. By replacing some new homework problems with review problems, students had additional…

Descriptors: Homework, Mathematics Instruction, Calculus, College Mathematics

Mayes-Tang, Sarah – PRIMUS, 2020

Creativity plays an important role in mathematics, but it can be overlooked in undergraduate courses. This article describes three ways an existing first-year math seminar was modified to increase its focus on creativity: introducing readings and discussions related to creativity, drawing connections to creativity in other disciplines, and adding…

Descriptors: Mathematics Instruction, Creativity, Teaching Methods, College Mathematics

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

Bagley, Spencer – PRIMUS, 2020

The flipped classroom model interchanges the roles of in-class and out-of-class time to allow students more time to engage with cognitively demanding tasks when expert help from their instructor is more available. An extensive body of literature supports the effectiveness of this model. In contrast, I present a case study of a less-successful…

Descriptors: Educational Technology, Technology Uses in Education, Homework, Video Technology

Garcia, Stephan Ramon; Horn, Roger A. – PRIMUS, 2020

Linear algebra is best done with block matrices. As evidence in support of this thesis, we present numerous examples suitable for classroom presentation.

Descriptors: Mathematics Instruction, Algebra, Teaching Methods, Matrices

Ko, Sei Jin; Marx, David M.; Nickerson, Susan D.; Bjorkman, Katie – PRIMUS, 2020

In this paper we provide a detailed account of how to implement a peer role model (PRM) program similar to the one that we developed at San Diego State University (SDSU) to broaden participation of college women in science, technology, engineering, and math (STEM). In particular, we summarize our findings of the PRM program's best practices,…

Descriptors: Role Models, Peer Influence, College Students, Calculus

Peters, Travis; Johnston, Elgin; Bolles, Heather; Ogilvie, Craig; Knaub, Alexis; Holme, Thomas – PRIMUS, 2020

Team-Based Learning (TBL) uses a flipped classroom model and involves students working collaboratively in small groups, with peer assessments to promote group accountability. We implemented TBL in Calculus I in both large (N [tilde] 150) and small (N [tilde] 35) class settings. We investigated the impact of this form of instruction over two…

Descriptors: Teamwork, Mathematics Instruction, Homework, Video Technology

Ward, Erika L. – PRIMUS, 2020

Homework gives students the opportunity to practice new skills in both familiar and unfamiliar situations, and to develop an understanding of related concepts. Although some of these goals can be easily accomplished in online homework, many systems are less useful for handling open-ended questions. Written homework, on the other hand, takes time…

Descriptors: Homework, Teaching Methods, Feedback (Response), Learner Engagement

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

Le, Phong – PRIMUS, 2020

Local community organizations with data and statistical needs provide beneficial authenticity and context in the classroom. Students can provide creative, broad perspectives to problems and issues relevant to those organizations. This paper describes characteristics of mutually beneficial relationships between classes and community partners.…

Descriptors: Statistics, Partnerships in Education, School Community Relationship, Low Income Groups

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