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.
Highlights
Spatial abilities are so important in modern life that several research projects addressed evaluation of these abilities in students (Gorska & Cižmešija, 2007; Hoffmann & Németh, 2007; Milin-Šipuš, 2012; Nagy-Kondor, 2007; Nagy-Kondor, 2012).Cultural, social, technological and mathematical-didactical changes over the past ten years have modified the benchmarks for development of spatial perception
New teaching methods use analogies/analogues to solve several of these problems together and understand the relationships between different sets of problems (Lénárd, 1978; Pólya, 1988; Pólya, 1989)
The scope of the present paper does not permit a full presentation of the study group material; instead, some analogies are illustrated in detail with student reactions and didactical comments
Summary
Živimo v tridimenzionalnem prostoru in se dnevno srečujemo z geometrijskimi problemi (navodila za uporabo različne opreme, zemljevidi idr.). Ključne besede: reševanje problemov, prostorsko-ravninska analogija, GeoGebra, DGS, poučevanje, srednješolsko izobraževanje c e p s Journal | Vol.3 | No4 | Year 2013 81
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