Van Hiele Levels of Thinking in Geometry

BURGER, W. F. (1984) "Characterizing the van Hiele levels of development in geometry." (unpublished manuscript)

BURGER, W. F. (1982) "Using the van Hiele model to describe reasoning processes in geometry." Paper presented at the meeting of the American Educational Research Association.

FUYS, D. , D. GEDDES , C. LOVETT , R. TISCHLER (1982) "An investigation of the van Hiele model of thinking in geometry among adolescents." Paper presented at the meeting of the American Educational Research Association.

PYSHKALO, A. M. (1968) Geometry in Grades 1-4: Problems in the Formations of Geometric Conceptions in Pupils in the Primary Grades. (Trans. 1981 by Recent East European Mathematical Literature of the University of Chicago, I. Wirszup , ed.) Moscow: Prosveshchenie Publishing.

USISKIN, Z. (1982) "Van Hiele levels and achievement in secondary school geometry." Paper presented at the meeting of the American Educational Research Association.

van HIELE, P. M. (1959a) "La pensee de l'enfant et la geometrie." Bulletin de L'Association des Professeurs de Mathematiques de I"Enseignment Public, pp. 199-205.

van HIELE, P. M. (1959b) "Development and learning process." Acta Paedagogica Ultrajectina, pp. 1-31.

van HIELE, P. M. (1957) "De Problematick van het Inzicht Gedemonstreed van het Inzicht von Schodkindren in Meetkundeleerstof." Ph.D. dissertation, University of Utrecht. (English summary included)

van HIELE, P. M. and D. van Hiele-Geldof (1958) "A method of initiation into geometry at secondary schools," pp. 1-31 in H. Freudental (ed.) Report on Methods of lnitiation into Geometry. Groningen, The Netherlands: J. B. Wolters.

van HIELE-GELDOF, D. (1957) "De didaktick van de Meetkunde in de eerset klass van het V.H.M.O." Ph.D. dissertation, University of Utrecht. (English summary included)

WIRZUP, I. (1976) "Breakthrough in the psychology of learning and teaching geometry," in J. L. Martin (ed.) Space and Geometry: Papers from a Research Workshop. Columbus, OH: ERIC/SMEAC.