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Durst, Susan; Kaschner, Scott R. – PRIMUS, 2020

We explore student performance on True-False assessments with statements in the conditional form "If P then Q" in order to better understand how students process conditional logic and to see whether logical misconceptions impede students' ability to demonstrate mathematical knowledge. We administered an online assessment to a population…

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

Capaldi, Mindy – PRIMUS, 2020

Definitions are fundamental to any mathematics classroom. We consider how definitions are presented in textbooks and instructors' lecture notes, and whether students are positioned to gain a full understanding of new terms. Four textbooks, covering precalculus, calculus, and analysis, as well as three professors' Calculus I lecture notes are…

Descriptors: Mathematics Instruction, College Mathematics, Definitions, Textbooks

Das, Tushar; George, Whitney; Warnberg, Nathan – PRIMUS, 2020

Mathematics educators view the equals sign as a bidirectional relation symbol, but the authors have observed that students might not have such flexibility in their understanding of the equals sign. The authors have observed that students have a hard time viewing mathematical properties (for example, log (MN) = log (M) log (N)) with bidirectional…

Descriptors: Mathematics Education, Mathematical Concepts, Symbols (Mathematics), College Mathematics

Bruder, Andrea; Kohler, Brynja R. – PRIMUS, 2020

Although modeling is an integral process in applied mathematics, students rarely encounter modeling opportunities in their calculus courses. We introduce a laboratory experience as a starting point for calculus students to investigate multivariable functions. A layered system of coffee and milk serves as a physical model for temperature gradients…

Descriptors: Calculus, Mathematics Instruction, Climate, Food

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

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

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

Eklund, Holly – PRIMUS, 2020

The purpose of this paper is to explain a newly implemented interactive delivery model for students at the Colorado School of Mines (Mines) repeating Calculus for Scientists & Engineers I during the spring of 2017. Since calculus is a necessary component for so many STEM degrees, it will continue to be a gateway to obtaining such degrees and…

Descriptors: Teaching Methods, Delivery Systems, Calculus, Scientists

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

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

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

Lewis, Drew – PRIMUS, 2020

This article describes a Standards-Based Grading (SBG) implementation used in a variety of lower-level mathematics courses, notably including the use of oral re-assessments. A retrospective study of this implementation was conducted that showed that female students take advantage of optional oral re-assessments at greater rates than male students…

Descriptors: Grading, Academic Standards, Mathematics Instruction, Student Evaluation

Spindler, Richard – PRIMUS, 2020

Modeling projects in differential equations and engineering courses create an authentic activity and an opportunity to attain the holy grail of "deeper" learning. However, what do we mean by "deeper" learning and how do we create an environment that encourages that? This article describes a proposal and case study in using…

Descriptors: Mathematics Instruction, Educational Objectives, Classification, Undergraduate Students