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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

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

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

A Portfolio Problem for Second Semester Reform Calculus: The Gudermannian and the Inverted Pendulum.

Peer reviewed

Biagini-Komas, Rob – Primus, 1999

Alternative forms of evaluation can provide deep and powerful learning experiences for students. Explains how to implement portfolios as an evaluation tool and describes a problem that was successfully implemented in a second semester reform calculus class. (Author/ASK)

Descriptors: Calculus, College Mathematics, Cooperative Learning, Higher Education

Peer reviewed

Mueller, William – Primus, 1999

Common student attitudes toward reform methods are conveyed through the thoughts of a student leaving a multivariable calculus exam and musings range over textbooks, homework, workload, group work, writing, noncomputational problems, instructional problems, instructional styles, and classroom activities. (Author/ASK)

Descriptors: Calculus, Educational Change, Higher Education, Mathematics Education

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

Zia, Lee l. – PRIMUS, 1991

Presented are classroom-tested examples of instructional materials (courseware) for ordinary differential equations using the software package PHASER. All of the examples include in-class demonstration techniques and commentaries for instructor use, student homework and laboratory exercises, and suggestions for in-class examination questions. (JJK)

Descriptors: Calculus, Classroom Techniques, College Mathematics, Computer Assisted Instruction

Peer reviewed

Malyshev, I.; Feldman, L. – PRIMUS, 1991

Discussed is the method of substitution of variables within the framework of precalculus level extremum problems, both maximum and minimum. Many examples with graphical representations are provided. (JJK)

Descriptors: Calculus, College Mathematics, Graphs, Higher Education

Peer reviewed

Timmons, Todd – PRIMUS, 1991

Described is an instructional method that makes use of an electronic spreadsheet for the numerical and graphical introduction of the fundamentals of Taylor polynomials. Included is a demonstration spreadsheet using the expansion polynomial to evaluate the cosine function. (JJK)

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Educational Technology

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

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