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- Transformation_geometry abstract "In mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic approach to the study of geometry by focusing on groups of geometric transformations, and the properties of figures that are invariant under them. It is opposed to the classical synthetic geometry approach of Euclidean geometry, that focus on geometric constructions.For example, within transformation geometry, the properties of an isosceles triangle are deduced from the fact that it is mapped to itself by a reflection about a certain line. This contrasts with the classical proofs by the criteria for congruence of triangles.The first systematic effort to use transformations as the foundation of geometry was made by Felix Klein in the 19th century, under the name Erlangen programme. For nearly a century this approach remained confined to mathematics research circles. In the 20th century efforts were made to exploit it for mathematical education. Andrei Kolmogorov included this approach (together with set theory) as part of a proposal for geometry teaching reform in Russia. These efforts culminated in the 1960s with the general reform of mathematics teaching know as the New Math movement.".
- Transformation_geometry thumbnail Simx2=traslOK.png?width=300.
- Transformation_geometry wikiPageExternalLink books?id=K7U6I3fxRSoC&printsec=frontcover.
- Transformation_geometry wikiPageExternalLink Transformational%20Proof%20NCTM.pptx.
- Transformation_geometry wikiPageExternalLink y9s7tn.pdf.
- Transformation_geometry wikiPageExternalLink 27958671.
- Transformation_geometry wikiPageExternalLink 748492.
- Transformation_geometry wikiPageID "473774".
- Transformation_geometry wikiPageRevisionID "599235320".
- Transformation_geometry hasPhotoCollection Transformation_geometry.
- Transformation_geometry subject Category:Geometry.
- Transformation_geometry subject Category:Mathematics_education.
- Transformation_geometry subject Category:Symmetry.
- Transformation_geometry comment "In mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic approach to the study of geometry by focusing on groups of geometric transformations, and the properties of figures that are invariant under them.".
- Transformation_geometry label "Geometria das transformações".
- Transformation_geometry label "Geometria delle trasformazioni".
- Transformation_geometry label "Geometría de las transformaciones".
- Transformation_geometry label "Transformation geometry".
- Transformation_geometry sameAs Transformationsgeometrie.
- Transformation_geometry sameAs Geometría_de_las_transformaciones.
- Transformation_geometry sameAs Geometria_delle_trasformazioni.
- Transformation_geometry sameAs Geometria_das_transformações.
- Transformation_geometry sameAs m.02dtn5.
- Transformation_geometry sameAs Q3956339.
- Transformation_geometry sameAs Q3956339.
- Transformation_geometry wasDerivedFrom Transformation_geometry?oldid=599235320.
- Transformation_geometry depiction Simx2=traslOK.png.
- Transformation_geometry isPrimaryTopicOf Transformation_geometry.
