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Showing 1 to 15 of 221 results Save | Export
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Markus Reitenbach – PRIMUS, 2024
We describe Shamir's secret sharing scheme and explain how it can be used for secure and redundant cryptocurrency storage. We include samples of individual and group assignments that can be used in an upper-division cryptology class for students who are familiar with modular arithmetic. It takes about one class to cover Shamir's secret sharing,…
Descriptors: Technology, Coding, Monetary Systems, Privacy
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Jeffrey Ehme – PRIMUS, 2024
The Miller-Rabin test is a useful probabilistic method for finding large primes. In this paper, we explain the method in detail and give three variations on this test. These variations were originally developed as student projects to supplement a course in error correcting codes and cryptography.
Descriptors: Probability, Numbers, Coding, Algorithms
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Jordan Kostiuk – PRIMUS, 2024
National studies continue to indicate that the graduating STEM student body is not representative of the diversity of the U.S. population. In addition to, or in the absence of, institutional change, instructors must learn how to implement equity-focused pedagogical changes in order to better support their students. This article describes my…
Descriptors: Reflection, Communication (Thought Transfer), Communication Strategies, Metacognition
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Teixeira, Katiuscia Costa Barros – PRIMUS, 2023
In this study, we evaluate an innovative method to improve the teaching of linear algebra. The use of peer instruction in conjunction with a seminar strategy and supported by didactic engineering is proposed as a means to facilitate the mastery of abstract concepts, the undertaking of innovative research in problem solving, and the practical…
Descriptors: Algebra, Mathematics Instruction, Peer Teaching, Teaching Methods
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Melhuish, K.; Lew, K.; Hicks, M. – PRIMUS, 2022
Connecting and comparing across student strategies has been shown to be productive for students in elementary and secondary classrooms. We have recently been working on a project converting such practices from the K-12 level to the undergraduate classroom. In this paper, we share a particular instantiation of this practice in an abstract algebra…
Descriptors: Mathematics Instruction, Teaching Methods, Best Practices, Algebra
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DiGregorio, G.; Hagman, J. Ellis – PRIMUS, 2021
As higher education institutions focus on increasing mathematics success, it is important to consider the experiences and needs of structurally disadvantaged identities. In this article, an asset-based framework was used to examine how eight first-generation, low-income, Students of Color perceive their mathematics placement experience. Although…
Descriptors: Higher Education, Mathematics Instruction, Disadvantaged, Self Concept
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Piercey, Victor – PRIMUS, 2021
Since the content of the Theory of Interest course in an actuarial science program is tied to an external exam, instructors may be hesitant to attempt to use inquiry-based learning. In this paper, I outline how and why I did so, including descriptions of the materials that I wrote. I found that student performance on the final exam improved…
Descriptors: Risk Management, Inquiry, Mathematics, Money Management
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Villalobos, Cristina; Kim, Hyung Won; Huber, Timothy J.; Knobel, Roger; Setayesh, Shaghayegh; Sasidharan, Lekshmi; Galstyan, Anahit; Balogh, Andras – PRIMUS, 2021
Research indicates multi-section coordination improves the academic performance of students in STEM education. This paper describes the process of coordination in Precalculus, Calculus 1, and Calculus 2 courses undertaken by a large department that grew from the merger of two institutions through a pilot program and a project grant. Components…
Descriptors: STEM Education, Calculus, Success, Mathematics Achievement
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Shelton, Therese; Laurent, Theresa; Agyemang-Barimah, Beulah – PRIMUS, 2019
We present adaptable activities for models of drug movement in the human body -- pharmacokinetics -- that motivate the learning of ordinary differential equations with an interdisciplinary topic. Specifically, we model aspirin, caffeine, and digoxin. We discuss the pedagogy of guiding students to understand, develop, and analyze models,…
Descriptors: Equations (Mathematics), Active Learning, Calculus, Pharmacology
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Autin, Melanie; Bateiha, Summer; Marchionda, Hope – PRIMUS, 2013
Traditional classroom instruction consists of teacher-centered learning in which the instructor presents course material through lectures. A recent trend in higher education is the implementation of student-centered learning in which students take a more active role in the learning process. The purpose of this article is to describe the discomfort…
Descriptors: Introductory Courses, Statistics, Active Learning, Educational Practices
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Lucas, Adam R. – PRIMUS, 2012
"WeBWorK," an online homework system, can be be used to deliver daily reading questions to students. The author studied its use for this purpose with a lower division Introduction to Programming course and an upper division Probability and Statistics course. In the lower division course, "WeBWorK" significantly improved peer…
Descriptors: Homework, Student Attitudes, Active Learning, Grading
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Cardetti, Fabiana; McKenna, P. Joseph – PRIMUS, 2012
The purpose of this article is to provide a deeper understanding of the natural rhythm of a typical semester, as observed in students' reflections in journals kept during the semester. Our analysis of students' writings rendered a breakdown of the semester into four distinct periods that were independent of the particular semester or section the…
Descriptors: Higher Education, Anatomy, Calculus, Teaching Methods
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Otten, Samuel; Zin, Christopher – PRIMUS, 2012
The emergence of non-Euclidean geometries in the 19th century rocked the foundations of mathematical knowledge and certainty. The tremors can still be felt in undergraduate mathematics today where encounters with non-Euclidean geometry are novel and often shocking to students. Because of its divergence from ordinary and comfortable notions of…
Descriptors: Undergraduate Students, Mathematics Education, Textbooks, Geometry
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Ada, Tuba; Kurtulus, Aytac – PRIMUS, 2012
In Turkey, the content of the geometry course in the Primary School Mathematics Education, which is developed by The Council of Higher Education (YOK), comprises Euclidean and non-Euclidean types of geometry. In this study, primary mathematics teacher candidates compared these two geometries by focusing on Taxicab geometry among non-Euclidean…
Descriptors: Student Projects, Mathematics Education, Active Learning, Foreign Countries
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Gonzalez-Muniz, Madeline; Klingler, Lee; Moosai, Susan; Raviv, Daniel – PRIMUS, 2012
Florida Atlantic University implemented a number of changes in the College Algebra course in an attempt to improve student success. We summarize these changes, and how they have affected the course. We also discuss possibilities for future improvements. (Contains 3 figures and 1 footnote.)
Descriptors: Algebra, Mathematics Instruction, College Mathematics, Higher Education
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