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Zsombor-Murray, Paul – Engineering Design Graphics Journal, 2007
Cubic symmetry is used to build the other four Platonic solids and some formalism from classical geometry is introduced. Initially, the approach is via geometric construction, e.g., the "golden ratio" is necessary to construct an icosahedron with pentagonal faces. Then conventional elementary vector algebra is used to extract quantitative…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Thinking Skills
Karakirik, Erol; Durmus, Soner – Online Submission, 2005
The development of abstract mathematical thinking is an essential part of mathematics and the geometry is regarded as a suitable domain to serve this purpose. As different technologies such as computers and graphing calculators are widely being used, curriculum developers on geometry should take these technologies into consideration. Several…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Curriculum Development
Karakirik, Erol; Durmus, Soner – EURASIA Journal of Mathematics, Science & Technology Education, 2005
The development of abstract mathematical thinking is an essential part of mathematics and the geometry is regarded as a suitable domain to serve this purpose. As different technologies such as computers and graphing calculators are widely being used, curriculum developers on geometry should take these technologies into consideration. Several…
Descriptors: Geometric Concepts, Computer System Design, Computer Graphics, Geometry
Eisenberg, Michael; Nishioka, Ann – 1996
Mathematics educators often despair at math's austere, "abstract" reputation. This paper describes recent work in developing an application named "HyperGami," which is designed to integrate both the abstract and"real-world" aspects of mathematics by allowing children to design and construct polyhedral models and…
Descriptors: Computer Assisted Design, Computer Graphics, Computer Software Development, Computer Uses in Education