The Concept of function: aspects of epistemology and pedagogy/
The Concept of function: aspects of epistemology and pedagogy/
Ed Dubinsky, Guershon Harel, editors.
- [Washington, DC]: Mathematical Association of America, [c1992].
- xii, 333 p.: ill.; 28 cm.
- MAA notes ; v. 25. .
- MAA notes, no. 25. .
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 .
0883850818
92064064
Functions.
Functions---Study and teaching.
511.33 / C744
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 .
0883850818
92064064
Functions.
Functions---Study and teaching.
511.33 / C744