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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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Helmreich, James E.; Krog, K. Peter – PRIMUS, 2018
We present a short, inquiry-based learning course on concepts and methods underlying ordinary least squares (OLS), least absolute deviation (LAD), and quantile regression (QR). Students investigate squared, absolute, and weighted absolute distance functions (metrics) as location measures. Using differential calculus and properties of convex…
Descriptors: Least Squares Statistics, Regression (Statistics), Active Learning, Inquiry
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Latulippe, Joe; Latulippe, Christine – PRIMUS, 2014
As an often recommended but under-utilized pedagogical strategy, writing in mathematics has many benefits for students. However, creating and grading worthwhile writing projects can be more time-consuming than utilizing more traditional forms of assessment. This paper provides a concrete example of a writing project prompt, questions, directions,…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Content Area Writing
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Kalajdzievska, Darja – PRIMUS, 2014
In many post-secondary, introductory mathematics courses failure and withdrawal rates are reaching as high as 50% and average GPA is steadily decreasing. This is a problem that has been witnessed across the globe. With widespread reforms taking place in K-12 mathematics education, many innovative teaching strategies have been created, implemented,…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Student Motivation
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Kenyon, Paula L.; Bardzell, Michael J. – Primus, 2001
Summarizes an interdisciplinary undergraduate research project involving experimental physics and calculus and illustrates how mathematics was used to finesse incomplete experimental information and maximize physical quantity known as jerk. Describes how calculus can be applied in the "real world" where functions are not always given by nice…
Descriptors: Calculus, Higher Education, Integrated Activities, Interdisciplinary Approach
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Dancis, Jerome – Primus, 2001
Students in a freshmen calculus course should become fluent in modeling physical phenomena represented by integrals, in particular geometric formulas for volumes and arc length and physical formulas for work. Describes how to train students to became fluent in such modeling and derivation of standard integral formulas. Indicates that these lessons…
Descriptors: Calculus, College Mathematics, Higher Education, Mathematical Models
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Allen, David – Primus, 2001
Shares a series of problems designed to provide students with opportunities to develop an understanding of applications of the definite integral. Discourages Template solutions, solutions in which students mimic a rehearsed strategy without understanding as the variety of problems helps prevent the construction of a template. (Author/ASK)
Descriptors: Calculus, College Mathematics, Higher Education, Mathematics Instruction
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Pilzer, Scott – Primus, 2001
Explores a method of teaching called Peer Instruction. Describes how Peer Instruction was implemented in physics and summarizes the results. Discusses the way in which Peer Instruction was modified to be used in an introductory single variable calculus course. (Author/ASK)
Descriptors: Calculus, Higher Education, Mathematics Education, Peer Teaching
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Revak, Marie; Pendergraft, Dave; Brown, Cynthia – Primus, 1997
Presents a murder mystery in the form of six Calculus II review problems. Students must solve the six problems to determine the murderer, murder weapon, and time and location of the murder. (AIM)
Descriptors: Area, Calculus, Differential Equations, Estimation (Mathematics)
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Witt, Ana – Primus, 1997
Describes three labs designed to help students in a first course on ordinary differential equations with three of the most common numerical difficulties they might encounter when solving initial value problems with a numerical software package. The goal of these labs is to help students advance to independent work on common numerical anomalies.…
Descriptors: Calculus, Computer Software, Computer Uses in Education, Differential Equations
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Boelkins, Matthew R.; Pfaff, Thomas J. – Primus, 1998
Addresses the problem of poor study habits in calculus students and presents techniques to teach students how to study consistently and effectively. Concludes that many students greatly appreciate the added structure, work harder than in previous courses, and witness newfound success as a consequence. (Author/ASK)
Descriptors: Calculus, Higher Education, Learning Strategies, Mathematics Instruction
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Boelkins, Matthew R. – Primus, 1998
In standard mathematical notation it is common to have a given symbol take on different meanings in different settings. Shares anecdotes of how this symbolic double entendre causes difficulties for students. Suggests ways in which instructors can clarify these ambiguities to make mathematics more understandable to students. (Author/ASK)
Descriptors: Algebra, Calculus, College Mathematics, Higher Education
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Silvia, Evelyn M.; Hom, Carole L. – Primus, 1996
Refutes the assumption that large classes must be impersonal, characterized by lecture style, and presented in a theorem-proof-example format. Discusses successful strategies for space use, classroom management, and collecting student feedback. (DDR)
Descriptors: Calculus, Class Size, Classroom Techniques, Educational Strategies
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Bolte, Linda A. – Primus, 1998
Describes how constructing concept maps and writing accompanying interpretive essays can be used in a Calculus I course to improve students' understanding of important concepts and help teachers assess students' knowledge. This combined approach allows students to explicitly communicate their knowledge and a chance to view mathematics as a…
Descriptors: Calculus, College Mathematics, Concept Mapping, Content Area Writing
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