Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos-Based Analysis: Part 1

Author:

Dubinsky Ed,Weller Kirk,Mcdonald Michael A.,Brown Anne

Publisher

Springer Science and Business Media LLC

Subject

Education,General Mathematics

Reference27 articles.

1. Bolzano, B.: 1950, Paradoxes of the infinite (translated from the German of the posthumous edition by Fr. Prihonsky and furnished with a historical introduction by Donald A. Steele), Routledge & Paul, London.

2. Dubinsky, E. and McDonald, M.A.: 2001, ‘APOS: A constructivist theory of learning in undergraduate mathematics education research’, in Derek Holton, et al. (eds.), The Teaching and Learning of Mathematics at University Level: An ICMI Study, Kluwer Academic Publishers, Dordrecht, Netherlands, pp. 273–280.

3. Falk, R.: 1994, ‘Infinity: A cognitive challenge’, Theory and Psychology 4(1), 35– 60.

4. Fischbein, E.: 1987, Intuition in Science and Mathematics, Reidel Publishing, Kluwer Academic Publishers, Dordrecht.

5. Fischbein, E.: 2001, ‘Tacit models of infinity’, Educational Studies in Mathematics 48(2/3), 309–329.

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