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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

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

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

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

Schlatter, Mark D. – Primus, 2002

Discusses one way of addressing the difficulty of mastering a large number of concepts through the use of ConcepTests; that is, multiple choice questions given in a lecture that test understanding as opposed to calculation. Investigates various types of ConcepTests and the material they can cover. (Author/KHR)

Descriptors: Calculus, Concept Formation, Evaluation, Group Activities

Peer reviewed

Mahavier, W. Ted – Primus, 2002

Describes a two-semester numerical methods course that serves as a research experience for undergraduate students without requiring external funding or the modification of current curriculum. Uses an engineering problem to introduce students to constrained optimization via a variation of the traditional isoperimetric problem of finding the curve…

Descriptors: Calculus, College Mathematics, Computer Uses in Education, Curriculum Design

Peer reviewed

Watnick, Richard – Primus, 1993

Presents a college calculus program based on the discovery method and the educational psychology literature used to develop it. Lists departmental, educational, and calculus reform goals, and describes characteristics of the program, including relaxed atmosphere, use of visualization, and supplemental teaching techniques. (13 references) (MKR)

Descriptors: Calculus, Discovery Learning, Educational Psychology, Experimental Programs

Peer reviewed

Foehl, Henry C. – Primus, 1993

Proposes a calculus curriculum combining formative knowledge, mathematical foundations, and instrumental knowledge in mathematics. Discusses each of these components, the organization of a core calculus course, and the use of problem solving in calculus instruction. (10 references) (MKR)

Descriptors: Calculus, Higher Education, Mathematics Curriculum, Mathematics Education

Peer reviewed

Narasimhan, Carolyn C. – Primus, 1993

Compares experiences in two calculus courses for non-science majors: a traditional business calculus course and a course using materials from the Calculus Consortium based at Harvard. The latter program is recommended. (MKR)

Descriptors: Business Education, Calculus, College Mathematics, Higher Education

Peer reviewed

Haws, LaDawn – Primus, 1992

Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Enrichment Activities

Peer reviewed

Rosenthal, Bill – Primus, 1992

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Descriptors: Calculus, College Mathematics, Discovery Learning, Experiential Learning

Peer reviewed

Gura, Kay – Primus, 1992

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Cooperative Learning

Peer reviewed

de Alwis, Tilak – Primus, 1992

Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)

Descriptors: Calculus, College Mathematics, Estimation (Mathematics), Higher Education