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Turner, Dusty; Pleuss, James; Collins, Christopher – PRIMUS, 2021
In the continual pursuit of classroom learning effectiveness, researchers and educators aim to develop strategies that improve student performance and learning. One such strategy is to create academically homogeneous environments where students are grouped into classes based on their preconceived academic ability. The research team tests this…
Descriptors: Grouping (Instructional Purposes), Undergraduate Study, Ability Grouping, College Mathematics
Ciganik, Shari; McDaniel, Michael – PRIMUS, 2021
Prospective teachers and cryptography students use programming, statistics and guile to enrich both their courses.
Descriptors: Preservice Teachers, Elementary School Teachers, Technology, Problem Solving
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
Rapke, Tina; Hall, Jennifer; Marynowski, Richelle – PRIMUS, 2021
We describe a method that instructors can use to grade tests and assignments that can be used in follow-up inquiry-based activities in class to review material. The grading process is essentially a sorting of student assignment/test responses based on the instructor's conception of what makes responses acceptable. The instructor can assign a grade…
Descriptors: Grading, Assignments, Tests, Inquiry
Case, Joshua; Speer, Natasha – PRIMUS, 2021
In undergraduate mathematics, deductive reasoning plays important roles in teaching and learning various ideas, and is primarily characterized by the concept of logical implication. This comes up whenever conditional statements are applied, i.e., one checks if a statement's hypotheses are satisfied and then makes inferences. In calculus, students…
Descriptors: Calculus, Mathematics Instruction, Logical Thinking, Teaching Methods
Weir, Rachel J. – PRIMUS, 2020
Like many math educators, I have spent much of my career bound to traditional methods of instruction and assessment. In recent years, motivated by a growing understanding that such approaches may not result in equitable or inclusive classroom environments, my teaching philosophy has shifted radically. In this article, I describe how I transformed…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Student Centered Learning
Davis, Tara C.; Spaeth, Anneliese H. – PRIMUS, 2020
This article includes a case study describing our innovative teaching technique of assigning reading journals in a first semester calculus course (Calculus I), as well as an exposition about and recommendations arising from our subsequent experiences implementing similar methods in Junior and Senior mathematics courses. In the primary case study…
Descriptors: Student Journals, Reading Assignments, College Mathematics, Calculus
Soto, Hortensia – PRIMUS, 2020
In this expository piece based on my Haimo teaching award presentation, I share three guidelines that drive my teaching: be informed, be courageous, and have compassion. Becoming an informed mathematics educator requires knowledge about evidence-based teaching practices, which can be acquired via mathematics education research and policy…
Descriptors: Teacher Characteristics, Mathematics Teachers, Evidence Based Practice, 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
Bieda, Kristen N.; Visnawathan, Aditya; McCrory, Raven; Sikorskii, Pavel – PRIMUS, 2020
Preparing students placing into developmental mathematics for success in undergraduate mathematics and preparing future teachers for the increasing demands of K-12 school settings are both persistent, yet seemingly divergent, problems facing higher education. In this paper, we shed light on a model that attempts to address aspects of each problem…
Descriptors: Models, Remedial Instruction, Mathematics Instruction, Mathematics Teachers
Karaali, Gizem; Yih, Samuel – PRIMUS, 2020
When first learning how to write mathematical proofs, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially come across as more puzzling or even mysterious. In this article we explore three specific statements from abstract algebra that involve the number…
Descriptors: Mathematics Instruction, College Mathematics, Algebra, Numbers
Schueller, Albert W. – PRIMUS, 2020
Recently, a new source of data with great potential for use in the mathematics classroom has become available. The smartphones in our pockets are packed with sensors. Most phones have at a minimum global positioning, accelerometer, magnetometer, and gyroscope sensors. We give an example of the collection and analysis of global positioning sensor…
Descriptors: Mathematics Instruction, Telecommunications, Handheld Devices, Geographic Information Systems
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
Schembari, N. Paul – PRIMUS, 2020
Ciphers based on rotor machines were the state-of-the-art in the mid-1900s, with arguably the most famous being the German Enigma. We have found that students have great interest in the Enigma and its cryptanalysis, so we created our own rotor cipher that is simulated with shifting tables and can be cryptanalyzed. Ours and the historic rotor…
Descriptors: Mathematics Instruction, Equipment, Technology, Teaching Methods
Jones, Leslie B.; Hopkins, Britney J. – PRIMUS, 2020
Computer programming and mathematical algorithms are natural partners in the development of programming skills, logical thought, and a deeper understanding of mathematical concepts. We present the details of a course which blends the two at the sophomore level. This course is required of our mathematics majors, but attracts mathematics minors from…
Descriptors: Mathematics Instruction, Programming, Teaching Methods, College Mathematics