The van Hiele model of geometric understanding and mathematically talented students

Journal for the Education of the Gifted

Volumn 21, Issue 1, 1997, Pages 38-53

  Mason, Marguerite M ^a  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031232291     PISSN: 01623532     EISSN: None     Source Type: Journal    
DOI: 10.1177/016235329702100103     Document Type: Article

References (18)

1. Burger, W., & Shaughnessy, J. (1986). Characterizing the van Hiele levels of development in geometry. Journal for Research in Mathematics Education, 17, 31-48.
2. Carter, K., & Ormrod, J. (1982). Acquisition of formal operations by intellectually gifted children. Gifted Child Quarterly, 26, 110-115.
3. Clements, D., & Battista, M. (1992). Geometry and spatial reasoning. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning, (pp. 420-464). New York: Macmillan.
4. Crowley, M. (1990). Criterion-referenced reliability indices associated with the van Hiele geometry test. Journal for Research in Mathematics Education, 21, 238-241.
5. Fuys, D., Geddes, D., & Tischler, R. (1988). The van Hiele model of thinking in geometry among adolescents. Journal for Research in Mathematics Education Monograph, 3.
6. Gutiérrez, A., & Jaime, A. (1987). Estudio de las caracteristicas de los niveles de van Hiele. Paper presented at the Eleventh Conference of the International Group for the Psychology of Mathematics Education, Montreal.
7. Gutiérrez, A., Jaime, A., & Fortuny, J. (1991). An alternative paradigm to evaluate the acquisition of the van Hiele levels. Journal for Research in Mathematics Education, 22, 237-251.
8. Mayberry, J. (1981). An investigation in the van Hiele levels of geometric thought in undergraduate preservice teachers. Dissertations Abstract International, 42, 2008A (University Microfilms No. 80-23078)
9. Mayberry, J. (1983). The van Hiele levels of geometric thought in undergraduate preservice teachers. Journal for Research in Mathematics Education, 14, 58-69.
10. Roeper, A. (1978). Some thoughts about Piaget and the young gifted child. Gifted Child Quarterly, 22, 252-257.
11. Senk, S. (1989). Van Hiele levels and achievement in writing geometry proofs. Journal for Research in Mathematics Education, 20, 309-321.
12. Usiskin, Z. (1982). Van Hiele levels and achievement in secondary school geometry. (Final Report of the Cognitive Development and Achievement in Secondary School Geometry Project.) Chicago: University of Chicago.
13. Usiskin, Z., & Senk, S. (1990). Evaluating a test of van Hiele levels: A response to Crowley and Wilson. Journal for Research in Mathematics Education, 21, 242-245.
14. van Hiele, P. (1984). The child's thought and geometry. In D. Fuys, D. Geddes, & R. Tischler (Eds.), English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hiele, (pp. 243-252). Brooklyn: Brooklyn College, School of Education. (ERIC Document Reproduction Service No. 287 697)
15. van Hiele, P. (1986). Structure and insight. Orlando: Academic Press.
16. van Hiele-Geldof, D. (1984). The didactics of geometry in the lowest class of secondary school. In D. Fuys, D. Geddes, & R. Tischler (Eds.), English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hiele (pp. 1-214). Brooklyn: Brooklyn College, School of Education. (ERIC Document Reproduction Service 287 697)
17. Weisz, J., & Zigler, E. (1979). Cognitive development in retarded and non-retarded persons: Piagetian tests of the similar sequence hypothesis. Psychological Bulletin, 86, 831-851.
18. Wilson, M. (1990). Measuring a van Hiele geometry sequence: A reanalysis. Journal for Research in Mathematics Education, 21, 230-237.