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Showing 1 to 15 of 106 results Save | Export
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Hagman, Jessica Ellis – PRIMUS, 2021
Through a multi-year, national calculus study, researchers have recently identified seven characteristics of successful college calculus programs. We identified these seven characteristics by visiting five doctoral-granting mathematics departments with successful calculus programs and uncovering the common traits among them. These seven traits…
Descriptors: Mathematics Instruction, Calculus, Inclusion, Preservice Teacher Education
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Radzimski, Vanessa; Leung, Fok-Shuen; Sargent, Pam; Prat, Alain – PRIMUS, 2021
We discuss an innovative course model used in first-year calculus courses at a large North American research university, which we refer to as the "Blended Model." We argue that our model takes the best features of lectures, flipped classrooms, and traditional recitations, and gathers them into a cohesive, robust structure that benefits…
Descriptors: Teaching Methods, Flipped Classroom, Calculus, Research Universities
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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
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Osborne, Jason M.; Cook, William; Bossé, Michael J. – PRIMUS, 2021
In this paper we introduce the reader to a foundational topic of differential geometry: the curvature of a curve. To make this topic engaging to a wide audience of readers, we develop this intuitive introduction employing only basic geometry without calculus and derivatives. It is hoped that this introduction will encourage many more to both…
Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, High Schools
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McClendon, David M.; Weller, Kirk; Trouba, Jerome; Brigance, Sandra; Dekker, Michael – PRIMUS, 2021
In this paper, we describe the evolution of calculus instruction at a mid-sized, career-oriented, comprehensive public university. Changes in practice, that began with a single faculty member implementing technology as a tool for student inquiry, have spread to other department faculty via support from an internal grant, workshops, and the use of…
Descriptors: Mathematics Instruction, College Mathematics, Educational Change, Calculus
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Bulancea, Gabriela; Granfield, Patricia; Jauchen, Joanna; Love, Jack; Nelson, Mary; Sachs, Robert; Sausville, Catherine – PRIMUS, 2021
Our department is in the early stages of a multi-year effort to nurture a culture that values active learning. We focus on the change process, including specific, pragmatic ideas from the literature on grassroots leadership and systemic change. We briefly review Wenger's work on cultivating communities of practice and use Wenger's evaluation of…
Descriptors: Mathematics Instruction, College Mathematics, Active Learning, Calculus
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Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2020
This article illustrates ways that dynamic software using some sophisticated techniques in Excel can be used to demonstrate fundamental ideas related to hypothesis testing to increase student understanding of the concepts and methods in elementary statistics courses. The article considers hypothesis tests for the population mean with large or…
Descriptors: Hypothesis Testing, Computer Software, Educational Technology, Technology Uses in Education
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Capaldi, Mindy – PRIMUS, 2020
Definitions are fundamental to any mathematics classroom. We consider how definitions are presented in textbooks and instructors' lecture notes, and whether students are positioned to gain a full understanding of new terms. Four textbooks, covering precalculus, calculus, and analysis, as well as three professors' Calculus I lecture notes are…
Descriptors: Mathematics Instruction, College Mathematics, Definitions, Textbooks
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Habre, Samer – PRIMUS, 2020
A growing body of research supports writing as a means to learn mathematics. Although introductory courses have benefited the most from the spread of this mode of learning, writing may be promoted in advanced courses. This paper reports on writing tasks in a complex analysis course where the primary goal was for students to investigate…
Descriptors: Writing Assignments, Mathematics Education, Essays, Foreign Countries
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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
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McAllister, Alex M.; Wiglesworth, Lesley; Wilson, John H. – PRIMUS, 2020
Creating a cohesive team of coworkers can be challenging in any organization, and an academic department is no exception. The Centre College Mathematics Department has established a culture of collegial collaboration by investing in developing a strong mathematical community of faculty and students, and through careful attention to the hiring and…
Descriptors: Collegiality, Mathematics Teachers, Mathematics Instruction, Teacher Student Relationship
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OShaughnessy, J. – PRIMUS, 2019
This paper investigates the advantages of using a two-step homework system. First, technology is used to collect and grade traditional homework. Then, students are expected to present and explain problems from their assignments in class. Several versions of implementation are discussed for different course levels and sizes. Through these methods,…
Descriptors: Mathematics Instruction, College Mathematics, Homework, Educational Technology
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Ding, Wandi; Florida, Ryan; Summers, Jeffery; Nepal, Puran; Burton, Ben – PRIMUS, 2019
We share our experience and lessons learned from using Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations (SIMIODE) modeling scenarios in our Differential Equations I class at Middle Tennessee State University. Specific projects with Python codes are presented. Discussions are brought forth on how to…
Descriptors: Calculus, College Mathematics, Mathematics Instruction, Mathematical Models
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Ekici, Celil; Plyley, Chris – PRIMUS, 2019
Following a modeling-first approach to differential equations, inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors. Emerging exemplary practices are presented, building towards a balanced teaching of differential equations involving…
Descriptors: Calculus, Mathematics Instruction, Inquiry, Mathematical Models
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Sochacki, James S.; Thelwell, Roger; Tongen, Anthony – PRIMUS, 2019
How should our students think about external forcing in differential equations setting, and how can we help them gain intuition? To address this question, we share a variety of problems and projects that explore the dynamics of the undamped forced spring-mass system. We provide a sequence of discovery-based exercises that foster physical and…
Descriptors: Calculus, Mathematics Instruction, Mathematical Models, Problem Solving
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