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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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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)

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

Klebanoff, Aaron – Primus, 1997

Describes a project involving a short car trip in which students experience an early opportunity to work in teams, think about mathematics, gather and analyze speed and distance data, and produce a report on their findings. Provides a typical-authored solution. (Author/ASK)

Descriptors: Calculus, Data Collection, Higher Education, Mathematical Concepts

Peer reviewed

Craighead, Robert L., Jr.; Fleck, Cynthia – Primus, 1997

Presents an experiment to design a precalculus topic that would help prepare students for limits in differential calculus. Emphasizes the topic to enhance the interpretation of graphs and to be applicable in both technology-based and traditional precalculus courses. Uses graphing calculators to help students observe the results of their…

Descriptors: Calculus, Educational Technology, Functions (Mathematics), Graphing Calculators

Peer reviewed

Dray, Tevian; Manogue, Corinne A. – Primus, 1999

Discusses some of the differences between the ways mathematicians and physicists view vector calculus and the gap between the way this material is traditionally taught by mathematicians and the way physicists use it. Suggests some ways to narrow the gap. (Author/ASK)

Descriptors: Calculus, Elementary Secondary Education, Engineers, Geometric Concepts

Peer reviewed

Ashline, George; Ellis-Monaghan, Joanna – Primus, 1999

Discusses how applications from microbiology and sociology can be used to involve students. Presents a physical context for critical concepts in a first-semester calculus course. (Author/ASK)

Descriptors: Calculus, Computer Uses in Education, Educational Technology, Graphing Calculators