716
Views
38
CrossRef citations to date
0
Altmetric
Original Articles

Concepts and figures in geometrical reasoning

&
Pages 1193-1211 | Published online: 09 Jul 2006

References

  • Anderson , J.R. 1978 . Arguments concerning representations for mental imagery . Psychological Review , 85 : 249 – 277 .
  • Anderson , J.R. 1990 . Cognitive Psychology and its Implications , 3rd edn , New York : Freeman, Carnegie‐Mellon University .
  • Blanc‐Garin , J. 1974 . Recherches récentes sur les images mentales: leur rôle dans les processus de traitment perceptif et cognitif . Année Psychologique , 76 : 541 – 562 .
  • Denis , M. and Dubois , D. 1976 . La représentation cognitive: quelques modèles récentes . Année Psychologique , : 541 – 562 .
  • Fischbein , E. 1993 . The theory of figurai concepts . Educational Studies in Mathematics , 24 : 139 – 142 .
  • Herschkowitz , R. 1989 . Visualization in geometry: two sides of the coin . Focus on Learning Problems in Mathematics , 11 (1) : 61 – 76 .
  • Herschkowitz , R. 1990 . “ Psychological aspects of learning geometry ” . In Mathematics and Cognition , Edited by: Kilpatrick , J. and Nesher , P. Cambridge, MA : Cambridge University Press .
  • Herschkowitz , R. and Vinner , S. 1982 . “ Basic geometric concepts: definitions and images ” . In Proceedings of the Sixth International Conference for the Psychology of Mathematics Education , Edited by: Vermandel , A. 16 – 23 . Universitaire Instelling, Antwerpen .
  • Kosslyn , S.M. 1980 . Image and Mind. , Cambridge, MA : Harvard University Press .
  • Kosslyn , S.M. 1983 . Ghosts in the Mind's Machine: Creating and Using Images in the Brain , NY : Norton .
  • Mariotti , A. 1992 . Imagint e concetti in geometria . L'Insegnamento Delia Matematica e Delie Scienze Integrata , 15 (9) : 863 – 885 .
  • Mariotti , M.A. 1995 . The Interaction Between Images and Concepts in Geometrical Reasoning , Tel Aviv University . Doctoral thesis
  • Paivio , A. 1970 . On the functional significance of imagery . Psychological Bulletin , 73 (6) : 385 – 392 .
  • Paivio , A. 1971 . Imagery and Verbal Processes , New York : Holt, Rinehart and Winston .
  • Panzycz , B. 1988 . ‘Knowing’ vs ‘Seeing’: problems of the plane representation of space geometry figures . Educational Studies in Mathematics , 19 : 79 – 92 .
  • Piaget , J. and Inhelder , B. 1966 . L'Image Mentale chez l'Enfant. Étude sur le Développement des Représentations Imagées , Paris : PUF .
  • Pylyshyn , Z.W. 1973 . What the mind's eye tells the mind's brain: a critique of mental imagery . Psychological Bulletin , 80 : 1 – 24 .
  • Shepard , R.N. 1978 . “ Externalization of mental images and the act of creation ” . In Visual Learning, Thinking and Communication , Edited by: Randhawa , B.S. and Coffman , W.E. 133 – 189 . New York : Academic Press .
  • Shepard , R.N. and Cooper , L.A. 1982 . Mental Images and Their Transformations , Cambridge, MA : MIT Press .

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.