Paper folding is an underappreciated method with a number of interesting applications in real life. From Japanese traditional origami we moved to today's use in space research or medicine, all thanks to the application of mathematical principles on it. The work explains the basic rules of paper geometry and its difference from Euclidean geometry. The problems of doubling the cube or trisection of the angle, which cannot be solved in Euclidean geometry, can be solved quite easily by translating the paper. The thesis contains ideas for mathematics teachers from elementary school to high school on how to use paper folding directly in mathematics teaching. Among the ideas we can find a simple verification of the Pythagorean theorem and the construction of conic sections. Physical handling of paper helps to consolidate the topic, develops spatial imagination and dexterity.
Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:453643 |
Date | January 2021 |
Creators | Hatschbachová, Jana |
Contributors | Hromadová, Jana, Surynková, Petra |
Source Sets | Czech ETDs |
Language | Czech |
Detected Language | English |
Type | info:eu-repo/semantics/masterThesis |
Rights | info:eu-repo/semantics/restrictedAccess |
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