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Showing 1 to 15 of 34 results Save | Export
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Kalman, Dan – PRIMUS, 2023
In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…
Descriptors: Mathematics Education, Calculus, Teaching Methods, Mathematical Models
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Galbraith, Peter – Australian Mathematics Education Journal, 2020
Recently a teacher friend enquired about the S-I-R equations for disease spread, and what follows was stimulated by that exchange. COVID-19 provides an opportunity to put mathematical flesh on verbal bones such as "self-isolation", "lockdown", "herd immunity", "flattening the curve", "closed…
Descriptors: Mathematical Models, Problem Solving, Computation, Evaluation Methods
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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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Ko, Sei Jin; Marx, David M.; Nickerson, Susan D.; Bjorkman, Katie – PRIMUS, 2020
In this paper we provide a detailed account of how to implement a peer role model (PRM) program similar to the one that we developed at San Diego State University (SDSU) to broaden participation of college women in science, technology, engineering, and math (STEM). In particular, we summarize our findings of the PRM program's best practices,…
Descriptors: Role Models, Peer Influence, College Students, Calculus
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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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Rohde Poole, S. B. – PRIMUS, 2022
This paper is written to provide ideas and guide faculty who want to design a mathematical modeling course for undergraduate mathematics majors and minors. We discuss course goals, assignments, and projects that can be used to help students gain experience relevant for careers and mathematical modeling opportunities. The authors designed this…
Descriptors: Undergraduate Students, Mathematics Instruction, Majors (Students), Mathematical Models
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Lommatsch, Christina W. – Mathematics Teacher, 2017
"Find the extreme values of the function." "At what rate is the distance between A and B increasing after 12 seconds?" Prompts like these can be heard in most first-semester calculus courses. Unfortunately, these cues also tend to prompt students' eyes to glaze over with thoughts of "When will I ever use this?" This…
Descriptors: Mathematics Instruction, Calculus, Relevance (Education), Career Choice
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Popelka, Susan R.; Langlois, Joshua – Mathematics Teacher, 2018
"Flatland: A Romance of Many Dimensions" is an 1884 novella written by English schoolmaster Edwin Abbott. He describes what it would be like to live in a two-dimensional (2D) world--Flatland. It is fascinating reading that underscores the challenge of teaching three-dimensional (3D) mathematics using 2D tools. Real-world applications of…
Descriptors: High School Students, Secondary School Mathematics, Calculus, Computer Uses in Education
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Oldenburg, Reinhard – International Journal for Technology in Mathematics Education, 2015
Quantifier Elimination is a procedure that allows simplification of logical formulas that contain quantifiers. Many mathematical concepts are defined in terms of quantifiers and especially in calculus their use has been identified as an obstacle in the learning process. The automatic deduction provided by quantifier elimination thus allows…
Descriptors: Mathematical Concepts, Mathematical Formulas, Mathematical Applications, Calculus
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Kress, Nancy Emerson – Mathematics Teacher, 2017
One of the primary expectations that the author has for her students is for them to develop greater independence when solving complex and unique mathematical problems. The story of how the author supports her students as they gain confidence and independence with complex and unique problem-solving tasks, while honoring their expectations with…
Descriptors: Mathematics Instruction, Problem Solving, Models, Teacher Student Relationship
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Fay, Temple H.; Joubert, Stephan V. – International Journal of Mathematical Education in Science and Technology, 2010
In this article we examine 2 x 2 first-order systems of ordinary differential equations and show how to identify separatrices for phase plane portraits when the system has a saddle point critical value. We describe how to use a computer algebra system to generate trajectories from contour plots, when possible, and determine the equation of the…
Descriptors: Calculus, Algebra, Equations (Mathematics), Models
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Browne, Joseph – MathAMATYC Educator, 2010
Population models are often discussed in algebra, calculus, and differential equations courses. In this article we will use the human population of the world as our application. After quick looks at two common models we'll investigate more deeply a model which incorporates the negative effect that accumulated pollution may have on population.
Descriptors: Pollution, Calculus, College Mathematics, Community Colleges
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Hardy, Nadia – Educational Studies in Mathematics, 2009
This paper presents a study of instructors' and students' perceptions of the knowledge to be learned about limits of functions in a college level Calculus course, taught in a North American college institution. I modeled these perceptions using a theoretical framework that combines elements of the Anthropological Theory of the Didactic, developed…
Descriptors: College Students, Student Attitudes, Teacher Attitudes, College Faculty
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Donovan, John E., II – AMATYC Review, 2008
To achieve the vision of mathematics set forth in "Crossroads" ("AMATYC," 1995), students must experience mathematics as a sensemaking endeavor that informs their world. Embedding the study of mathematics into the real world is a challenge, particularly because it was not the way that many of us learned mathematics in the first place. This article…
Descriptors: Mathematics Education, Calculus, Relevance (Education), Teaching Methods
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Bingolbali, E.; Ozmantar, M. F. – International Journal of Mathematical Education in Science and Technology, 2009
In this article we focus on university lecturers' approaches to the service teaching and factors that influence their approaches. We present data obtained from the interviews with 19 mathematics and three physics lecturers along with the observations of two mathematics lecturers' calculus courses. The findings show that lecturers' approaches to…
Descriptors: Mathematics Education, Calculus, Teaching Methods, Mathematics Instruction
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