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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

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

Gordon, Sheldon P. – Primus, 1997

Illustrates the qualitative nature of the differences between reform courses and traditional courses based on the types of student questions and comments generated in reform classes ranging from college algebra to multivariable calculus. (AIM)

Descriptors: Algebra, Calculus, Course Evaluation, Higher Education

Peer reviewed

Alarcon, Francisco E.; Stoudt, Rebecca A. – Primus, 1997

Describes the preparation for the implementation of a Mathematica-based calculus curriculum and the curriculum selection process at Indiana University of Pennsylvania. Contains a summary of the problems encountered and the resulting modifications. Evaluation of the curriculum implementation, some reasons for its demise, and suggested future…

Descriptors: Calculus, Curriculum Based Assessment, Curriculum Development, Curriculum Problems

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

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

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

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

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

Peer reviewed

Young, Anne Ludington – Primus, 1996

Error estimates for tangent line approximations and for numerical integration are found using special cases of the error formulas for Taylor's Theorem and the Trapezoidal Rule, respectively. Proofs of these theorems rely on a modification of Rolle's Theorem. (Author/MKR)

Descriptors: Calculus, Concept Formation, Higher Education, Proof (Mathematics)

Peer reviewed

McDonald, Michael A.; And Others – Primus, 1996

Discusses a precalculus project in which students create a model United Nations to present and discuss the long-term prognosis for individual countries given data on population growth and food production. Students compare exponential and linear functions to determine whether starvation will occur and prepare oral and written presentations of their…

Descriptors: Calculus, Functions (Mathematics), High Schools, Higher Education