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Infinity – The never-ending struggle

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REFERENCES

  • Falk, R. Gassner, D., Ben Zoor, F. and Ben Simon, K.: 1986, ‘How do children cope with the infinity of numbers?’ in Proceedings of the 10th Conference of the International Group for the Psychology of Mathematics Education, UK, London, pp. 13–18.

  • Fischbein, E.: 1978, ‘Intuition and mathematical education’, Osnabrücker Schriften zür Mathematik 1, 148–176.

    Google Scholar 

  • Fischbein, E., Jehiam, R. and Cohen, D.: 1995, ‘The concept of rational numbers in high school students and prospective teachers’, Educational Studies in Mathematics 29, 29–44.

    Article  Google Scholar 

  • Fischbein, E., Tirosh, D. and Hess, P.: 1979, ‘The intuition of infinity’, Educational Studies in Mathematics 10, 3–40.

    Article  Google Scholar 

  • Fischbein, E., Tirosh, D. and Melamed, U.: 1981, ‘Is it possible to measure the intuitive acceptance of mathematical statement?’ Educational Studies in Mathematics 12, 491–512.

    Article  Google Scholar 

  • Monaghan, J.: 1986, Adolescents' Understanding of Limits and Infinity, Unpublished Ph.D. thesis. Mathematics Education Research Centre, University of Warwick, UK.

    Google Scholar 

  • Piaget, J. and Inhelder, B.: 1956, The Child's Conception of Space, Routledge and Kegan Paul, London.

    Google Scholar 

  • Taback, S.: 1975, ‘The child's concept of limit’, in M. Rosskopf (ed.), Children's Mathematical Concepts, Teachers College Press, New York, pp. 111–144.

    Google Scholar 

  • Tsamir, P.: 1999, ‘The transition from comparison of finite to the comparison of infinite sets: Teaching prospective teachers’, Educational Studies in Mathematics 38, 209–234.

    Article  Google Scholar 

  • Tsamir, P. and Tirosh, D.: 1999, ‘Consistency and representations: The case of actual infinity’, Journal for Research in Mathematics Education 30, 213–219.

    Article  Google Scholar 

  • Vinner, S. and Kidron, I.: 1985, ‘The concept of repeating and non-repeating decimals at the senior high level’, in R. Herskowitz (ed.), Proceedings of the 10th Conference of the International Group for the Psychology of Mathematics Education, Noorwijkerhout, The Netherlands, pp. 357–361.

    Google Scholar 

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Tall, D., Tirosh, D. Infinity – The never-ending struggle. Educational Studies in Mathematics 48, 129–136 (2001). https://doi.org/10.1023/A:1016019128773

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