This study attempted to enhance 8th grade students' acquisition of basic geometrical concepts through an instructional intervention which focused on constructing meaningful definitions by incorporating the use of the GEOMETRIC SUPPOSER software. Results of a test administered subsequent to the learning indicated that students in the experimental group did not exhibit the widely held misconceptions demonstrated in a comparison group's performance, thus acquired a more complete and correct concept image, apparently induced by the intervention.
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References
1.
HofferA., Geometry Is More than Proof, Mathematics Teacher, 74:1, pp. 11–18, 1981.
2.
UsiskinZ., Van Hiele Levels and Achievement in Secondary School Geometry, The University of Chicago, 1982.
3.
PresmegN., Visualisation in High-School Mathematics, For the Learning of Mathematics, 6, pp. 42–46, 1986.
4.
HershkowitzR., The Acquisition of Concepts and Misconceptions in Basic Geometry—or When “A Little Learning Is a Dangerous Thing,” in Proceedings of the Second International Seminar on Misconceptions and Educational Strategies in Science and Mathematics, NovakJ. (ed.), Cornell University, Ithaca, New York, 1987.
5.
VinnerS.HershkowitzR., Concept Images and Common Cognitive Paths in the Development of Some Simple Geometrical Concepts, Proceedings of the 4th P.M.E. Conference, Berkeley, 1980.
6.
VinnerS.HershkowitzR., On Concept Formation in Geometry, ZDM, 83:1, pp. 20–25, 1983.
7.
HershkowitzR.BruckheimerM.VinnerS., Activities with Teachers Based on Cognitive Research, in The Secondary School Mathematics Curriculum, HirschC. R.ZwengM. J. (eds.), National Council of Teachers of Mathematics, Reston, Virginia, 1987.
8.
HershkowitzR.VinnerS., The Role of Critical and Non-Critical Attributes in the Concept Image of Geometrical Concepts, in Proceedings of the 7th P.M.E. Conference, HershkowitzR. (ed.), Weizman Institute, Israel, pp. 223–228, 1983.
9.
SchwartzJ. L.YerushalmyM., The Geometric Supposer, Sunburst Communications, Inc., Pleasantville, New York, 1985.
10.
YerushalmyM.SchwartzJ. L., The Geometric Supposer (in Hebrew), Center of Educational Technology (CET), Ramat-Aviv, Israel, 1987.
11.
HershkowitzR., “Geometrical Concept Images of Students and Teachers”, Unpublished Doctoral Dissertation, Hebrew University, Israel, (Appendix I), 1989.
12.
RisslandE., (Michener), Epistemology, Representation, “Understanding, and Interactive Exploration of Mathematical Theories”, Unpublished Doctoral Dissertation, Massachusetts Institute for Technology, Cambridge, Massachusetts, 1977.
13.
TallD., Concept Image of Tangent, Proceedings of the 11th P.M.E. Conference, Vol. III, Montreal, 1987.
14.
YerushalmyM.ChazanD., Overcoming Visual Obstacles with the Aid of the SUPPOSER, Educational Studies in Mathematics, 1990.
