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Showing 1 to 15 of 256 results Save | Export
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Ulrich A. Hoensch – PRIMUS, 2024
We present a concrete situation where there is a difference between the theoretical security of a cipher and its limitations when implemented in practice. Specifically, when entering a PIN, smudges on the keypad substantially reduce its security. We show how the number of possible keys in the presence of the "smudge attack" can be…
Descriptors: Information Security, Computer Security, Coding, Undergraduate Study
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David P. Bunde; John F. Dooley – PRIMUS, 2024
We present a detailed description of a Cryptography and Computer Security course that has been offered at Knox College for the last 15 years. While the course is roughly divided into two sections, Cryptology and Computer Security, our emphasis here is on the Cryptology section. The course puts the cryptologic material into its historical context…
Descriptors: Technology, Coding, Computer Security, Mathematics Education
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Stephanie A. Blanda – PRIMUS, 2024
This article describes the author's experience designing and implementing an inquiry-based learning (IBL) pedagogical approach to an upper-division undergraduate cryptology course. The author shares the course goals and how the IBL style supports their achievement. The article concludes with sample activities -- in-class exercises that touch on…
Descriptors: Technology, Undergraduate Students, Inquiry, Active Learning
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Matthew T. Johnson; Brandon Kim; Daniel O'Keefe; Wilson J. Gonz├ílez-Espada – PRIMUS, 2024
We investigated the effects of a major revision of the differential and integral calculus curriculum, the primary goal of which was to improve STEM retention. The revamped curriculum has greater emphasis on the power of computing to help visualize patterns and gain insights to better prepare students for STEM majors, and less emphasis on…
Descriptors: STEM Education, Mathematics Education, Curriculum Design, Majors (Students)
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Kirsten Doehler; Laura Taylor – PRIMUS, 2024
A project involving data related to socioeconomic indicators was administered in an introductory statistics course. As part of this project, student groups investigated a data set from the United States Department of Agriculture Food and Nutrition Service website with information on recipients of Supplemental Nutrition Assistance Program (SNAP)…
Descriptors: College Students, Statistics Education, Introductory Courses, Mathematics Education
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Ethan Berkove; Ben Galluzzo – PRIMUS, 2024
This curated collection covers a selection of PRIMUS articles published over a roughly 12-year period that focus on modeling and applications. The collection includes sections on individual projects, courses with a significant modeling component, and modeling and applications in extracurricular settings and throughout the curriculum.
Descriptors: Mathematics Education, Undergraduate Study, Mathematical Models, Mathematical Applications
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Malagon, Audrey – PRIMUS, 2023
The mathematical egg hunt is a hands-on activity designed to help students understand mathematical relations in an Introduction to Proofs course. This activity gives students the opportunity to practice selecting which ordered pairs do and do not belong to a given relation in a moderately competitive egg hunt. It is designed to be low-stakes, yet…
Descriptors: Mathematics Education, Active Learning, Mathematical Logic, Validity
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DeLegge, Anthony; Kaur, Manmohan – PRIMUS, 2023
Mathematics is not just the queen of the sciences; it permeates through art, commerce, and in fact, every aspect of modern life. However, while we as mathematicians see beauty in the mathematical way of thinking and problem-solving, our students tend to think of mathematics as a set of rules and abstract computations. Our pleasure of doing…
Descriptors: Mathematics Education, Humanities, Student Attitudes, Liberal Arts
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Nabb, Keith – PRIMUS, 2023
Preservice teachers commonly struggle with topics related to fractions, ratio, and proportion. The use of double number lines can facilitate the teaching in these areas and provide autonomy and flexibility in mathematical thinking. Moreover, double number lines support many topics in the curriculum, including unit rate, convenience scaling, and…
Descriptors: Thinking Skills, Preservice Teachers, Fractions, Mathematical Concepts
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Hubbard, Keith E. – PRIMUS, 2023
Retaining mathematics majors is a pressing concern in many departments. We examined the pass rates of students across our mathematics major and then analyzed student persistence between math courses along with the underlying data collection required to make these analyses. We found that mathematics majors leaving the major after successfully…
Descriptors: Mathematics Education, Majors (Students), Academic Persistence, School Holding Power
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Deka, Lipika; Shereen, Peri; Wand, Jeffrey – PRIMUS, 2023
Course-based Undergraduate Research Experiences (CUREs) were originally developed by biologists to answer the call for undergraduate curriculum reform and expose more students to authentic research experiences [Wei and Woodin. 2011. Undergraduate research experiences in biology: Alternatives to the apprenticeship model. "CBE Life Sciences…
Descriptors: Undergraduate Students, Student Research, Mathematics Education, Models
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Hardin, Johanna; Shahriari, Shahriar – PRIMUS, 2023
The Department of Mathematics & Statistics at Pomona College has long worked to create an inclusive and welcoming space for all individuals to study mathematics. Many years ago, our approach to the lack of diversity we saw in our majors was remediation through programming, which sought to ameliorate student deficits. More recently, however, we…
Descriptors: Mathematics Education, College Faculty, Mathematics Teachers, Statistics
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Hower, Jeremiah; Merkin, Roneet; Wells, Leanne – PRIMUS, 2023
This article reports on a reconceptualization of the Precalculus course experience at Florida International University. We discuss the details of the redesign process--unified within a faculty learning community (FLC) model--along with a broader change in the course sequence leading up to Calculus. We provide data, including the comparison between…
Descriptors: College Mathematics, Mathematics Education, Calculus, Communities of Practice
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Voigt, Matthew; Wynn, Lynda; Bjorkman, Katie; Lo, Stanley M. – PRIMUS, 2023
In this paper, we briefly introduce three theoretical frameworks for mathematical identity and why they matter to practitioners teaching undergraduate mathematics courses. These frameworks are narrative identities, communities of practice, and figured worlds. After briefly describing each theory, we provide examples of how each framework can be…
Descriptors: Undergraduate Students, Self Concept, Mathematics Education, College Mathematics
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Zolt, Holly; Wrightsman, Elizabeth; Ford, Lucinda; Patterson, Cody L. – PRIMUS, 2023
We discuss student conceptions of improper integrals and infinity in the context of a second-semester calculus course (in a three-course sequence). Our observations stem from a sequence of activities used in an online course over a three-day period. Throughout the enactment of these activities, students are challenged to develop conceptions of…
Descriptors: Mathematical Concepts, Mathematics Education, Calculus, Online Courses
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