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Crawford, Pam; Moseley, Daniel; Nancarrow, Mike; Ward, Erika – PRIMUS, 2018

One of the greatest challenges facing students new to calculus is the ability to persevere in the face of failure. Whether the student is choosing an integration technique or a series test, calculus is often the first course in mathematics where the path to the solution is not prescribed in an algorithmic way. At Jacksonville University we…

Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Active Learning

Shipman, Barbara A. – PRIMUS, 2012

Differences in definitions of limit and continuity of functions as treated in courses on calculus and in rigorous undergraduate analysis yield contradictory outcomes and unexpected language. There are results about limits in calculus that are false by the definitions of analysis, functions not continuous by one definition and continuous by…

Descriptors: Comparative Analysis, Calculus, Mathematics Instruction, Undergraduate Study

Dumitrascu, Dorin – PRIMUS, 2009

I discuss my experience with teaching an advanced undergraduate Real Analysis class using both lecturing and the small-group guided discovery method. The article is structured as follows. The first section is about the organizational and administrative components of the class. In the second section I give examples of successes and difficulties…

Descriptors: Mathematics Instruction, College Mathematics, Calculus, Numbers

Burt, Derek; Magnes, Jenny; Schwarz, Gregory; Hartke, John – PRIMUS, 2008

This article outlines a method of conducting a laboratory designed to discover mathematical integration with students. The results are produced and verified in the laboratory by students. Understanding that an integral is defined by the area bounded by a function of x and the x-axis from a point a to a point b is challenging. Students often have…

Descriptors: Laboratories, Mathematics Instruction, Equations (Mathematics), Teaching Methods

Peer reviewed

Mahavier, William S. – Primus, 1999

Describes a 'Moore Method' course whose purpose is to teach students to create and present in class mathematically correct proofs of theorems. Discusses grading, class discussions, ways to help students, and the extent to which to encourage cooperative learning. (Author/ASK)

Descriptors: Calculus, Cooperative Learning, Discovery Learning, Higher Education

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

Solow, Anita E. – Primus, 1991

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Descriptors: Calculus, Classroom Techniques, Cognitive Development, College Mathematics

Peer reviewed

Teles, Elizabeth J. – Primus, 1992

Discusses results from studies reported from 1958-86 examining the different methods of teaching calculus. Alternatives to lecture presentations to supplement and enhance learning include discovery and group learning, self-paced classes, programed materials, and use of computers. (over 50 references) (MDH)

Descriptors: Calculus, Computer Assisted Instruction, Computers, Cooperative Learning

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