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ERIC Number: ED551393
Record Type: Non-Journal
Publication Date: 2012
Pages: 132
Abstractor: As Provided
Reference Count: N/A
ISBN: 978-1-2677-8292-2
ISSN: N/A
Constructivized Calculus in College Mathematics
Lawrence, Barbara Ann
ProQuest LLC, Ed.D. Dissertation, Teachers College, Columbia University
The purpose of this study is to present some of the classical concepts, definitions, and theorems of calculus from the constructivists' point of view in the spirit of the philosophies of L.E.J. Brouwer and Errett Bishop. This presentation will compare the classical statements to the constructivized statements. The method focuses on giving numerical meaning to some of the classical calculus statements such as functions, limits, continuity, derivatives, Definite Integral, and The Fundamental Theorem of calculus. The process is referred to as constructivizing calculus statements. The advantage of this process is giving calculus rigor and a more realistic meaning rather than an idealistic meaning. In addition, the calculus becomes more accessible to students in engineering, the sciences, computer technology, and business. Because students in these fields use calculus as a tool, the constructive calculus course meet their needs. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.]
ProQuest LLC. 789 East Eisenhower Parkway, P.O. Box 1346, Ann Arbor, MI 48106. Tel: 800-521-0600; Web site: http://www.proquest.com/en-US/products/dissertations/individuals.shtml
Publication Type: Dissertations/Theses - Doctoral Dissertations
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A