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Please use this identifier to cite or link to this item: http://repository.include-erasmus.eu/jspui/handle/7112/16
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dc.contributor.authorFalagkaras, Aristeidis-
dc.contributor.authorKalogerakou, Kleopatra-
dc.date.accessioned2021-11-09T19:05:35Z-
dc.date.available2021-11-09T19:05:35Z-
dc.date.issued2021-11-09-
dc.identifier.urihttp://repository.include-erasmus.eu/jspui/handle/7112/16-
dc.descriptionTeaching symmetry through the paintings of MC Escher.en_US
dc.languageenen_US
dc.publisherIncludeen_US
dc.subjectMathematicsen_US
dc.subjectVisual Arts Educationen_US
dc.titleM.C.Escher’s paintings and the mathematical concept of symmetry.en_US
dc.typeimageen_US
dc.typeinquiryen_US
dc.typetexten_US
dc.typeeducational scenario - lesson planen_US
dc.typevideoen_US
dc.keywordRotational Symmetry , Reflectional Symmetry , Translation , Tessellation, MC Escher.en_US
dc.age14en_US
dc.school1o peiramatiko gymnasio Athinasen_US
dc.moduleSymmetryen_US
dc.unitRotational Symmetryen_US
dc.unitTranslationen_US
dc.unitReflectional Symmetry.en_US
dc.englishLevelB2en_US
dc.requirementsAccess to internet , access to Pc Lab or Interactive whiteboard or simple projector, geometrical instruments , transparent paper.en_US
dc.duration4en_US
dc.keycompetencesDetailed Competences::2. Multilingual Competence::Attitudesen_US
dc.keycompetencesDetailed Competences::2. Multilingual Competence::Skills::Ability to understand spoken messagesen_US
dc.keycompetencesDetailed Competences::3. Mathematical competence and competence in science, technology, engineering::A. Mathematical competence::Knowledge::Understanding of mathematical terms and conceptsen_US
dc.keycompetencesDetailed Competences::3. Mathematical competence and competence in science, technology, engineering::A. Mathematical competence::Skills::Ability to reason mathematical, understand mathematical proof and communicate in mathematical languageen_US
dc.keycompetencesDetailed Competences::3. Mathematical competence and competence in science, technology, engineering::B. Competence in science, technology, engineering::Knowledge::Knowledge of the basic principles of the natural world, fundamental scientific concepts, theories, principles and methodsen_US
dc.keycompetencesDetailed Competences::4. Digital Competence::Knowledge::understanding how digital technologies can support communication, creativity and innovationen_US
dc.keycompetencesDetailed Competences::8. Cultural awareness and expression Competence::Knowledge::understanding how arts and other cultural forms can be a way to both view and shape the worlden_US
dc.keycompetencesDetailed Competences::8. Cultural awareness and expression Competence::Skills::ability to express and interpret figurative and abstract ideas, experiences and emotions with empathy and the ability to do so in a range of arts and other cultural formsen_US
dc.learningOutcomeTo get acquainted with the concept of symmetry To be able to recognize the 3 types of symmetry in pictures ,designs and objects of everyday life . To use each of the three types of symmetry for the construction of symmetrical shapes with digitally manipulated tools. To use each of the three types of symmetry for the construction of symmetrical shapes in the digital Environment of Geogebra. To realize that symmetry produces objects with a sense of beauty. To understand the mathematical concept of Tessellation and Regular Tessellation. To learn about Regular polygons . To discover which Regular Polygons are suitable for Tessellation. To connect the mathematical concept of symmetry with artistic creation . To analyze the way that MC Escher used the concept of symmetry and tessellation in order to create some of his paintings. To use mathematics outside their own context, for example in painting To understand that mathematics could be a source for artistic inspiration . To enrich their knowledge in the field of Geometry in a foreign language To consolidate mathematical terms and concepts through interactive drill and practice To collaborate effectively in discussing and solving problems To develop their critical thinking, through curiosity and observation .en_US
dc.transversalSkillInformation literacyen_US
dc.transversalSkillCreativity and Innovationen_US
dc.transversalSkillCollaboration and Communicationen_US
dc.transversalSkillAutonomous learningen_US
dc.europeanityM.C. Esher is a Dutch Painter , one of the prominent figures of the 20th century. His sources of inspiration , among others , are the mathematical concepts such as symmetry , infinity , impossible constructions and illusions. He became familiar with these concepts and realized their connection with the art of painting when he visited the city of Alhambra , in Spain , where he saw the famous decorative patterns at the Arabic palaces of the city . As we know part of Spain was many centuries under the rule of the Arabs . According to Sir Roger Penrose he managed to visualise complex concepts from mathematics and physics in a simple and intuitive manner . We can see his paintings in most Mathematics textbooks around the world.en_US
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File Description SizeFormat 
Symmetry scenario _ description.docxScenario- Description3.08 MBMicrosoft Word XMLView/Open
Symmetry scenario_worksheet .docxWorksheet1.88 MBMicrosoft Word XMLView/Open
symmetry introduction.mp4Introductive video3.45 MBUnknownView/Open
symmetry 1.ggbGeogebra file62.46 kBUnknownView/Open
symmetry 2.ggbGeogebra file251.83 kBUnknownView/Open
symmetry 3.ggb214.35 kBUnknownView/Open
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