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St. Goar, Julia; Lai, Yvonne – PRIMUS, 2022
Undergraduate mathematics instructors are called by many current standards to promote prospective teachers' learning of geometry from a transformation perspective, marking a change from previous standards. The novelty of this situation means it is unclear what is involved in undergraduate learning and teaching of geometry from a transformation…
Descriptors: Preservice Teachers, Mathematics Teachers, Geometry, Validity
Banaian, Esther; Brauner, Sarah; Chandramouli, Harini; Klinger-Logan, Kim; Nadeau, Alice; Philbin, McCleary – PRIMUS, 2022
We detail our experience running an annual four-day workshop at the University of Minnesota, called the Mathematics Project at Minnesota (MPM). The workshop is for undergraduates who come from groups underrepresented in mathematics and aims to increase the participation and success of such groups in the mathematics major at the University. In this…
Descriptors: Workshops, Mathematics Education, Undergraduate Students, Disproportionate Representation
Cline, Kelly; Huckaby, David A.; Zullo, Holly – PRIMUS, 2022
To identify clicker questions likely to provoke rich and engaging student discussions, we recorded the percentage of the class voting on each option on every clicker question used throughout each semester, encompassing nineteen sections of introductory statistics, taught by three instructors. Working from the hypothesis that seeing student votes…
Descriptors: Audience Response Systems, Statistics, Introductory Courses, Discussion (Teaching Technique)
Andriunas, R.; Boyle, B.; Lazowski, A. – PRIMUS, 2022
This paper discusses a project for linear algebra instructors interested in a concrete, geometric application of matrix diagonalization. The project provides a theorem concerning a nested sequence of tetrahedrons and scaffolded questions for students to work through a proof. Along the way students learn content from three-dimensional geometry and…
Descriptors: Algebra, Geometry, Matrices, Mathematics Instruction
Ryan, S. D.; Nawalaniec, T. M. – PRIMUS, 2022
In this work, we studied the use of open education resources (OER) in the form of online modules combined with an open textbook as it relates to student performance and perceptions in a Linear Algebra course. In this approach, we compared student performance and perceptions from three sections of this intermediate level mathematics course. One was…
Descriptors: Open Educational Resources, Algebra, Mathematics Instruction, Online Courses
Carmack, Lori – PRIMUS, 2022
This paper presents ideas for constructing mathematics homework assignments based on lessons from the cognitive science of learning and memory. In particular, we focus on two popular techniques from the field: spaced practice and mixed practice. The paper describes the techniques and supporting research, and then discusses various straightforward…
Descriptors: Mathematics Education, Homework, Learning, Memory
Chih, Tien – PRIMUS, 2022
The shift of evidence-based, active and inquiry-based pedagogy to online modalities has typically been done with a synchronous model, using video conferencing technology to facilitate interaction and collaboration amongst students. Such an approach can be infeasible for some students and create inequitable situations within a class. This paper…
Descriptors: Geometry, Mathematics Instruction, Inquiry, Online Courses
Ecke, V.; von Renesse, C. – PRIMUS, 2022
In this paper, we invite the reader to think deeply about professional development opportunities for faculty. The focus of this professional development is to improve teaching and learning by including more inquiry in the mathematics classroom. Building on theories of teaching and learning, we develop the idea of "teaching procedures"…
Descriptors: Inquiry, Active Learning, Faculty Development, Mathematics Teachers
Morales-Almazan, Pedro – PRIMUS, 2022
This article explores the parallels between improvisational theater, commonly known as improv, and active teaching. Specifically, it focuses in the impact of improv techniques on instructor and teaching assistant professional development. The implementation of an active teaching seminar is analyzed, where improv techniques were used in developing…
Descriptors: Creative Activities, Drama, Teaching Methods, Faculty Development
Oremland, Lucy S.; Szabo, Csilla – PRIMUS, 2022
In this paper, we present an overview of a series of 1-credit applied problem solving courses. The goal of these courses was to help students develop their oral and written communication skills, ability to work as a team, and general problem solving skills through preparation and participation in the Mathematical Contest in Modeling (MCM) and…
Descriptors: Interdisciplinary Approach, Problem Solving, Active Learning, Student Projects
Fleming, Sarah Ann; Lind, Joan; Ho, Anne M. – PRIMUS, 2022
In this study, we use Class Preparation Worksheets (CPWs) as pre-class reading assignments for a Calculus I course. We describe the implementation and data collection as well as a qualitative and quantitative analysis. Then, we discuss the implications for student engagement with course materials, a student-and-instructor feedback loop, impacts on…
Descriptors: Reading Assignments, Calculus, Worksheets, Teacher Student Relationship
Hossain, M. Alamgir; Menz, Petra M.; Stockie, John M. – PRIMUS, 2022
We present a question bank consisting of over 250 multiple-choice and true--false questions covering a broad range of material typically taught in an introductory undergraduate course in numerical analysis or computational science. The questions are ideal for polling students during lectures by means of a student response system that uses…
Descriptors: Audience Response Systems, Undergraduate Study, Telecommunications, Handheld Devices
Reed, Zackery; Tallman, Michael A.; Oehrtman, Michael; Carlson, Marilyn P. – PRIMUS, 2022
We present our analysis of 254 Calculus I final exams from U.S. colleges and universities to identify features of assessment items that necessitate qualitatively distinct ways of understanding and reasoning. We explore salient features of exemplary tasks from our data set to reveal distinctions between exam items made apparent by our analytical…
Descriptors: Calculus, College Mathematics, Mathematical Logic, Mathematics Instruction
Soto, Hortensia – PRIMUS, 2022
In this paper, I share an activity that reinforces students' understanding of translations, reflections, and rotations via body movement. As a result of this activity, students gain a different perspective compared to previous explorations on paper, communicate mathematics, and visualize transformations as rigid motions on the plane. Furthermore,…
Descriptors: Motor Reactions, Human Body, Mathematics Instruction, Visualization
Toney, Allison F.; Boul, Stephen D. – PRIMUS, 2022
Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Difficulty Level