The Concept of function: aspects of epistemology and pedagogy/ Ed Dubinsky, Guershon Harel, editors.
Series: MAA notes ; no. 25.Publication details: [Washington, DC]: Mathematical Association of America, [c1992].Description: xii, 333 p.: ill.; 28 cmISBN:- 0883850818
- 511.33 C744
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Books | Castorina Estantes Abertas (Open Shelves) | Livros (Books) | 511.33 C744 1992 IMPA (Browse shelf(Opens below)) | 1 | Available | 39063000050628 |
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511.33 B836l 2012 IMPA Lattice basis reduction: an introduction to the LLL algorithm and its applications/ | 511.33 C435s 2007 IMPA Semilattice structures/ | 511.33 C737 1980 IMPA A Compendium of continuous lattices/ | 511.33 C744 1992 IMPA The Concept of function: aspects of epistemology and pedagogy/ | 511.33 D248i 1990 IMPA Introduction to lattices and order/ | 511.33 E15l 2002 IMPA Lattices and codes: a course partially based on lectures by F. Hirzebruch/ | 511.33 E26c 2004 IMPA Cogwheels of the mind: the story of Venn diagrams/ |
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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