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Showing 136 to 150 of 1,134 results Save | Export
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Bliss, Karen M.; Galluzzo, Benjamin J.; Kavanagh, Kathleen R.; Skufa, Joseph D. – PRIMUS, 2019
To promote and facilitate the teaching of math modeling throughout the K-16 setting, the Consortium for Mathematics and Its Applications and the Society for Industrial and Applied Mathematics recently published the GAIMME (Guidelines for Assessment and Instruction in Mathematical Modeling Education) Report. This paper provides insight into how the…
Descriptors: Mathematical Models, Undergraduate Study, Mathematics Instruction, Elementary Secondary Education
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Larripa, Kamila; Mazzag, Borbala – PRIMUS, 2019
This article proposes that in addition to training teams of students to succeed in the Mathematical Contest in Modeling, the contest and the preparation for competition can be successfully used as a framework to teach an auxiliary skill set to undergraduate STEM majors through workshop-style modules. The skills emphasized are collaboration across…
Descriptors: Mathematical Models, Competition, STEM Education, Undergraduate Students
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Nabb, Keith; Murawska, Jaclyn – PRIMUS, 2019
The Corvette Problem is a nonroutine investigation, one that provides an authentic context to explore many interrelated calculus ideas. In our years of sharing this problem with students and colleagues, we have found additional topics from the calculus curriculum to have rich interpretations in this environment. The Corvette Problem contextualizes…
Descriptors: Calculus, Student Motivation, Mathematics Instruction, College Mathematics
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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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Czocher, Jennifer A.; Tague, Jenna; Baker, Greg – PRIMUS, 2019
In this paper, we tell a story of iterative design and continual improvement of an asynchronous technological resource, pencasts, to support development of students' modeling skills while studying at home. Our students were typically engineering majors, enrolled in differential equations as a prerequisite for their subsequent engineering courses.…
Descriptors: Homework, Mathematical Models, Technology Uses in Education, Asynchronous Communication
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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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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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