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The Concept of function: aspects of epistemology and pedagogy/ Ed Dubinsky, Guershon Harel, editors.

Contributor(s): Series: MAA notes ; no. 25.Publication details: [Washington, DC]: Mathematical Association of America, [c1992].Description: xii, 333 p.: ill.; 28 cmISBN:
  • 0883850818
Subject(s): DDC classification:
  • 511.33  C744
Contents:
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Item type Current library Collection Call number Copy number Status Date due Barcode
Books Books Castorina Estantes Abertas (Open Shelves) Livros (Books) 511.33 C744 1992 IMPA (Browse shelf(Opens below)) 1 Available 39063000050628

Includes bibliographical references (p. 319-333).

Research perspectives on conceptions of functions: summary and overview. Glossary. Theoretical perspectives for development of the function concept : On understanding the notion of function -- Operational origins of mathematical objects and the quandary of reification-The case of function -- The nature of the process conception of function. Theory-based teaching experiments : Functions from an algebraic and graphic point of view: cognitive difficulties and teaching practices -- Horizontal and vertical growth of the student's conception of function. Conceptions held by students and teachers : On the development of a sense for functions -- Students' understanding of a function given by a physical model -- The function concept as a prototype for problems in mathematics learning -- Teachers' mathematical knowledge of the concept of function. The use of pedagogical software : Dynamic representation and the development of a process understanding of fuction -- Getting students to function in and with algebra -- Patterns in students' formalization of quantitative patterns .

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