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Yurasovskaya, Ekaterina – PRIMUS, 2021

Service-learning provides a versatile pedagogical platform that can improve the academic performance of participating students and open space for a discussion of issues of social justice within a mathematics classroom. We describe our Precalculus course with a service-learning component, in which university students regularly tutor algebra…

Descriptors: Service Learning, Teaching Methods, Mathematics Instruction, Social Justice

Bertrand, Elliott; McArdle, David T.; Thoma, Lubos; Wu, Li – PRIMUS, 2021

The percentage of college students receiving unproductive grades in introductory mathematics courses is a concern for post-secondary institutions across the country. Many factors can be targeted as potential explanations for this lack of success, yet none of these issues are more noteworthy than the fact that many students enter college…

Descriptors: College Students, Mathematics Instruction, College Mathematics, Mathematics Skills

Childers, Annie Burns; Lu, Lianfang; Hairston, Joshua; Squires, Timothy – PRIMUS, 2021

This paper reports on mathematics remediation efforts at a public 4-year institution. Specifically, it describes redesign efforts that led to the implementation of co-requisite mathematics remediation. Data on this program were collected and analyzed with respect to completion rates, length of time to earn college mathematics credit, and factors…

Descriptors: Remedial Mathematics, College Students, Program Effectiveness, College Mathematics

Moore-Russo, Deborah; Kornelson, Keri; Savic, Milos; Andrews, Candace – PRIMUS, 2021

In this case study, we use organizational development and change theory to look at how the University of Oklahoma (OU) has attended to the mathematical pathway leading to STEM fields. Using multiple sources of data, we are able to create an informative narrative that provides the particular context of the situation and in-depth picture of the…

Descriptors: Organizational Change, Organizational Development, College Mathematics, STEM Education

Petrilli, Salvatore J., Jr. – PRIMUS, 2021

The Department of Mathematics and Computer Science at Adelphi University engaged in a year-long program revision of its mathematics major, which was initiated by a longitudinal study and the publication of the 2015 Curriculum Guide by the MAA's Committee on Undergraduate Programs in Mathematics. This paper stands as a short story, so to speak, of…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Mathematical Logic

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

Venkatesh, Anil; Piercey, Victor – PRIMUS, 2021

Quantitative Reasoning for Professionals is a two-semester general education sequence that teaches basic and intermediate algebra through the lens of quantitative reasoning. In this course sequence, we emphasize communication and inference-making while teaching practical algebra skills for students in programs such as business, nursing, and social…

Descriptors: Mathematics Instruction, College Mathematics, Inquiry, Grading

Coggins, Porter E., III; Glatzer, Tim – PRIMUS, 2020

We present an algorithm for a matrix-based Enigma-type encoder based on a variation of the Hill Cipher as an application of 2 × 2 matrices. In particular, students will use vector addition and 2 × 2 matrix multiplication by column vectors to simulate a matrix version of the German Enigma Encoding Machine as a basic example of cryptography. The…

Descriptors: Mathematics Instruction, Matrices, Technology, Addition

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

Calkins, Susanna; Grannan, Sharisse; Siefken, Jason – PRIMUS, 2020

This study explores the impact of Peer-Assisted Reflection (PAR), a structured active learning strategy that emphasizes peer feedback and reflection, on students' perceptions of mathematical thinking, and of the roles their peers and their instructors play in their learning process. This study also examines the impact of PAR on the students'…

Descriptors: Reflection, Peer Influence, Active Learning, Feedback (Response)

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

Boyce, Steven; O'Halloran, Joyce – PRIMUS, 2020

We describe the process of adjusting the balance between computer-based learning and peer interaction in a college algebra course. In our first experimental class, students used the adaptive-learning program ALEKS within an emporium-style format. Comparing student performance in the emporium format class with that in a traditional lecture format…

Descriptors: Active Learning, College Students, Algebra, Mathematics Instruction

Krouss, Paul; Lesseig, Kristin – PRIMUS, 2020

Introductory and remedial courses in college mathematics often serve as a gateway to student success. However, these university courses have seen little innovation despite historically low success rates. We sought to address deficits of the traditional lecture model and enhance student learning in an introductory college algebra course through the…

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

Adiredja, Aditya P.; Bélanger-Rioux, Rosalie; Zandieh, Michelle – PRIMUS, 2020

In this paper we share a classroom implementation of a task about basis in linear algebra, which was originally developed for research about the topic. The task asks students to construct an everyday situation that captures the definition of basis, and then to critique it mathematically. Using this task, the original research study uncovered…

Descriptors: Mathematics Instruction, Algebra, Relevance (Education), Teaching Methods

Cline, K.; Fasteen, J.; Francis, A.; Sullivan, E.; Wendt, T. – PRIMUS, 2020

We have integrated computer programming instruction into the required courses of our mathematics major. Our majors take a sequence of four courses in their first 2 years, each of which is paired with a weekly 75-minute computer lab period that has a dual purpose of both computationally exploring the mathematical concepts from the lecture portion…

Descriptors: College Mathematics, Majors (Students), Programming, Teaching Methods