Improving Problem-Solving Skills with the Help of Plane-Space Analogies
Abstract
We live our lives in three-dimensional space and encounter geometrical problems (equipment instructions, maps, etc.) every day. Yet there are not sufficient opportunities for high school students to learn geometry. New teaching methods can help remedy this. Specifically our experience indicates that there is great promise for use of geometry programs, GeoGebra and DGS, combined with plane space analogies for the development of spatial thinking and problem-solving skills in the three dimensions of solid geometry.
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References
Gorska, R., & Jušcakova, Z. (2007). TPS Test Development and Application into Research on Spatial Abilities. Jour. Geom. Graph., 11, 223–236.
Hoffmann, M., Németh, B., & Sörös, Cs. (2007). Typical Mistakes in Mental Cutting Test and Their Consequences in Gender Differences. Teaching Mathematics and Computer Science, 5(2), 385–392.
Hoffmann, M., & Németh, B. (2006). Gender differences in spatial visualization among engineering students. Annales Mathematicae et Informaticae, 33, 169–174
Leclére, P., & Raymond, C. (2010). Use of the GeoGebra software at upper secondary school, FICTUP Public case report, INPL, France.
Lénárd, F. (1978). A problémamegoldó gondolkodás. Budapest: Akadémiai Kiadó.
Lord, T. R. (1985). Enhancing the Visuo-spatial Aptitude of Students. Journal of Research in Science Teaching, 22, 395–405.
McGee, M. G. (1979). Human Spatial Abilities: Psychometric studies and environmental, genetic, hormonal and neurological influences. Psychological Bulletin, 86, 899–918.
Nagy-Kondor, R. (2007). Spatial ability of engineering students. Annales Mathematicae et Informaticae, 34, 113–122.
Nagy-Kondor, S. (2012). Engineering students’ spatial abilities in Budapest and Debrecen. Annales Math. et Inf., 40, 187-201.
Nagy-Kondor (2010). Spatial Ability, Descriptive Geometry and Dynamic Geometry Systems. Annales Math. et Inf., 37, 199-210
Nagy, L. (2000). Analógiák és az analógiás gondolkodás a kognitív tudományok eredményeinek tükrében. Magyar Pedagógia.
Pólya, Gy. (1985). A problémamegoldás iskolája I. Budapest: Typotex Kft.
Pólya, Gy. (1988). A gondolkodás iskolája. Budapest: Typotex Kft.
Pólya, Gy. (1988). A problémamegoldás iskolája II. Budapest: Typotex Kft.
Pólya, Gy. (1989). A plauzibilis következtetés. Budapest: Gondolat Kiadó.
Pólya, Gy. (1989). Indukció és analógia. Budapest: Gondolat Kiadó.
Reiman, I. (1986). A geometria és határterületei. Budapest: Gondolat Kiadó.
Schröcker, H.-P., Stachel, H., Tsutsumi, E., & Weiss, G. (2005). Evaluation of Students’ Spatial Abilities in Austria and Germany. Jour. Geom. Graph., 9, 107–117.
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