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Showing 1 to 15 of 140 results Save | Export
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Nievergelt, Yves – PRIMUS, 2021
Answering a call by the "Common Vision" for instructional material to "establish stronger connections with other disciplines" and "work with professional-level technology tools," the present article shows how various aspects of fitting circles to data fit in existing courses from basic calculus to advanced calculus.
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Undergraduate Study
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Spindler, Richard – PRIMUS, 2020
Modeling projects in differential equations and engineering courses create an authentic activity and an opportunity to attain the holy grail of "deeper" learning. However, what do we mean by "deeper" learning and how do we create an environment that encourages that? This article describes a proposal and case study in using…
Descriptors: Mathematics Instruction, Educational Objectives, Classification, Undergraduate Students
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Cilli-Turner, Emily; Dunmyre, Justin; Mahoney, Thomas; Wiley, Chad – PRIMUS, 2020
While you may be ready to make the change to implementing Mastery Grading, you may still wonder exactly how to do this. This paper seeks to compile recommendations on implementing mastery grading from various sources as well as examples from our own experiences. The reader should expect a detailed overview of the components involved in mastery…
Descriptors: Grading, Mastery Learning, Evaluation Methods, Program Implementation
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Elsinger, Jason; Lewis, Drew – PRIMUS, 2020
This article describes a framework of Standards-Based Grading suitable for use in a variety of mathematics courses. We detail our experience adapting this framework to various courses, ranging from Pre-calculus to Differential Equations, at four different institutions, including both small liberal arts colleges and large universities, and in class…
Descriptors: Academic Standards, Grading, Mathematics Education, College Mathematics
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Rasmussen, Chris; Dunmyre, Justin; Fortune, Nicholas; Keene, Karen – PRIMUS, 2019
This article provides an overview of a modeling sequence that culminates in student reinvention of a bifurcation diagram. The sequence is the result of years of classroom-based research and curriculum development grounded in the instructional design theory of Realistic Mathematics Education. The sequence of modeling tasks and examples of student…
Descriptors: Mathematical Models, Teaching Methods, Mathematics Instruction, Inquiry
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Kostadinov, Boyan; Thiel, Johann; Singh, Satyanand – PRIMUS, 2019
The goal of this paper is to promote the use of R and Python as high-level, free, open-source programming environments that can be used as a computational and visualization tool for teaching differential equations. Both R and Python also allow for creating reproducible dynamic documents using Markdown, which combines live code, plain text, and…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Programming
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Singh, Satyanand – PRIMUS, 2019
We show that the total distance traveled by an under-damped oscillating spring mass system with sinusoidal displacement results in a nice, closed-form expression.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Mathematical Concepts
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Anderson, Jeffrey A.; McCusker, Michael V. – PRIMUS, 2019
We present a new learning activity that enables students to apply eigenvalue theory to investigate a practical modeling problem. We demonstrate how to build a spring-coupled pair of pendula and describe how students can measure the movements of these pendula using open-source image processing software. We then illustrate how to analyze this…
Descriptors: Mathematics Instruction, College Mathematics, Experiential Learning, Learning Activities
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Diedrichs, Danilo R. – PRIMUS, 2019
Harvesting models based on ordinary differential equations are commonly used in the fishery industry and wildlife management to model the evolution of a population depleted by harvest mortality. We present a project consisting of a series of scenarios based on fishery harvesting models to teach the application of theoretical concepts learned in a…
Descriptors: Mathematical Models, Equations (Mathematics), Calculus, Industry
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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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McCarthy, Chris; Lan, Jie; Li, Jieying – PRIMUS, 2019
We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…
Descriptors: Equations (Mathematics), Mathematical Models, Problem Solving, Computer Simulation
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Clark, Thomas J. – PRIMUS, 2019
The first day of many mathematics classes is filled with the formalities of the syllabus and a lecture introduction to the course content. Here, an alternative is presented where modeling is placed as the centerpiece to orient students to the work of differential equations; namely, to capture as beautifully and compactly as possible through the…
Descriptors: Equations (Mathematics), Calculus, Mathematical Models, College Mathematics
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Spindler, Richard – PRIMUS, 2019
Project-based learning supports unique and authentic problems in differential equations courses. An intuitive, interesting and deep differential equations project is described. The description illustrates a case study of guiding students through a complex project and the technical and personal rewards gained from it. Valuable advice is provided to…
Descriptors: Student Projects, Calculus, Equations (Mathematics), Mathematics Instruction
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Linhart, Jean Marie – PRIMUS, 2019
This article describes a method for using the United States Census data to open a differential equations course. The question of finding a model for the United States population data gives students a first experience with creating a model using differential equations, and also understanding derivatives, what they mean, and how to calculate them in…
Descriptors: Census Figures, Equations (Mathematics), Calculus, Mathematical Models
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Livingston, Colleen – PRIMUS, 2019
This paper describes an activity using a dog treat ball to introduce systems of first-order differential equations. Beads are placed in the first of two hemispherical chambers of a food-dispensing dog toy. As the ball is turned, students track the number of beads in the first chamber, the second chamber, and the exterior of the ball. Students…
Descriptors: Calculus, Equations (Mathematics), Spreadsheets, Toys
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