73
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Intuitive rules in science and mathematics: the case of ‘Everything can be divided by two’

&
Pages 669-683 | Published online: 25 Feb 2007

References

  • Buck , P. 1993 . Continuous and discontinuous concepts: a tentative, alternative interpretation of the foregoing investigation by Stavy and Tirosh . Chimica Didactica , 19 : 160 – 172 . (Text in German)
  • Carey , S. 1992 . “ The origin and evaluation of everyday concepts ” . In Minnesota Studies in the Philosophy of Science, 15 , Edited by: Giere , R. N. 89 – 128 . Minneapolis : University of Minnesota Press .
  • Driver , R. , Guesne , E. and Tiberghien , A. 1985 . Children's Ideas in Science , Milton Keynes : Open University Press .
  • Egozi , R. 1993 . Subdivision processes in science and mathematics, Unpublished M.A. thesis. , Israel : Tel‐Aviv University . (Text in Hebrew.)
  • Eylon , B. and Lynn , M. 1988 . Learning and instruction: an examination of four research perspectives in science education . Review of Education Research , 58 : 251 – 301 .
  • Farkas , A. 1993 . Subdivision processes in material and geometrical objects, Unpublished M.A. thesis, , Israel : Tel Aviv University . (Text in Hebrew.)
  • Fischbein , E. 1987 . Intuition in Science and Mathematics: An Educational Approach , Dordrecht : Reidel .
  • Fischbein , E. , Tirosh , P. and Hess , P. 1979 . The intuition of infinity . Educational Studies in Mathematics , 12 : 491 – 512 .
  • Haidar , A. H. and Abraham , R. 1991 . A comparison of applied and theoretical knowledge of concepts based on the particulate nature of matter . Journal of Research in Science Teaching , 20 : 919 – 938 .
  • Hart , K. , ed. 1981 . Children's Understanding of Mathematics: 11‐16 , London : John Murray .
  • Hilbert , D. 1964/1925 . “ On the infinite ” . In Philosophy of Mathematics , Edited by: Benacerrof , P. and Putnam , H. 134 – 151 . New York : Cambridge University Press .
  • Martin , G. and Wheeler , M. M. Infinity concepts among preservice elementary school teachers . Proceedings of the Tenth Psychology of Mathematics Education Conference . Montreal, Canada. pp. 362 – 368 .
  • Osborne , R. and Freyberg , P. 1985 . Learning in Science: the Implications of Children's Science , Auckland, NZ : Heinemann .
  • Perkins , D. N. and Simmons , R. 1988 . Patterns of misunderstanding: an integrative model for science, math, and programming . Review of Education Research , 58 : 303 – 326 .
  • Pfundt , H. 1981 . “ Pre‐instructional conception about substances and transformation of substances ” . In Problems Concerning Students’ Representation of Physics and Chemistry Knowledge , Edited by: Jung , W. , Pfundt , H. and Rhonock , C. V. 320 – 341 . Ludwigsburg : Frankfurt University .
  • Piaget , J. and Inhelder , B. 1963 . The Child's Conception of Space , London : Routledge & Kegan Paul .
  • Poincaré , H. 1906 . La Science et l'hypothese , Paris : Flammarion .
  • Sierpinska , A. 1987 . Humanities students and epistemological obstacles related to limits . Educational Studies in Mathematics , 18 (4) : 371 – 387 .
  • Stavy , R. 1990 . Children's conception of changes in the state of matter: from liquid (or solid) to gas . Journal of Research in Science Teaching , 27 : 247 – 266 .
  • Stavy , R. and Tirosh , D. 1992 . Overgeneralization in mathematics and science: the effect of external similarity . International Journal of Mathematical Education in Science and Technology , 32 : 229 – 248 .
  • Stavy , R. and Tirosh , D. 1993a . Subdivision processes in mathematics and science . Journal of Research in Science Teaching , 30 : 579 – 586 .
  • Stavy , R. and Tirosh , D. 1993b . When analogy is perceived as such . Journal of Research in Science Teaching , 30 : 1229 – 1239 .
  • Stavy , R. and Tirosh , D. in press . Intuitive rules in science and mathematics: the case of ‘more of A ‐‐ more of B’ . International Journal of Science Education ,
  • Stern , E. and Mevarech , Z. R. 1991 . When familiar context does not facilitate mathematical understanding , Germany : Max Planck Institute . Unpublished manuscript,
  • Thijs , G. D. and Berg , E. van den . Cultural factors in the origin and remediation of alternative conceptions . Paper presented at the Third International Seminar on Misconceptions and Educational Strategies in Science and Mathematics . Ithaca. Cornell University .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.