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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 focuses 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 known as the New Math movement.".
- Transformation_geometry thumbnail Simx2=transl_OK.svg?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 wikiPageExternalLink TransformationGeometry.
- Transformation_geometry wikiPageID "473774".
- Transformation_geometry wikiPageLength "9448".
- Transformation_geometry wikiPageOutDegree "62".
- Transformation_geometry wikiPageRevisionID "698822115".
- Transformation_geometry wikiPageWikiLink Academic_Press.
- Transformation_geometry wikiPageWikiLink American_Mathematical_Monthly.
- Transformation_geometry wikiPageWikiLink Analytic_geometry.
- Transformation_geometry wikiPageWikiLink Andrey_Kolmogorov.
- Transformation_geometry wikiPageWikiLink Cambridge_University_Press.
- Transformation_geometry wikiPageWikiLink Category:Geometry.
- Transformation_geometry wikiPageWikiLink Category:Mathematics_education.
- Transformation_geometry wikiPageWikiLink Category:Symmetry.
- Transformation_geometry wikiPageWikiLink Chirality_(mathematics).
- Transformation_geometry wikiPageWikiLink Commutative_property.
- Transformation_geometry wikiPageWikiLink Compass-and-straightedge_construction.
- Transformation_geometry wikiPageWikiLink Complex_number.
- Transformation_geometry wikiPageWikiLink Congruence_(geometry).
- Transformation_geometry wikiPageWikiLink Coordinate_rotations_and_reflections.
- Transformation_geometry wikiPageWikiLink Erlangen_program.
- Transformation_geometry wikiPageWikiLink Euclidean_geometry.
- Transformation_geometry wikiPageWikiLink Euclidean_plane_isometry.
- Transformation_geometry wikiPageWikiLink Eulers_rotation_theorem.
- Transformation_geometry wikiPageWikiLink Felix_Klein.
- Transformation_geometry wikiPageWikiLink Function_composition.
- Transformation_geometry wikiPageWikiLink Geometric_transformation.
- Transformation_geometry wikiPageWikiLink Geometry.
- Transformation_geometry wikiPageWikiLink Group_(mathematics).
- Transformation_geometry wikiPageWikiLink Group_theory.
- Transformation_geometry wikiPageWikiLink Heinrich_Guggenheimer.
- Transformation_geometry wikiPageWikiLink Homothetic_transformation.
- Transformation_geometry wikiPageWikiLink Hypercomplex_number.
- Transformation_geometry wikiPageWikiLink Invariant_(mathematics).
- Transformation_geometry wikiPageWikiLink Inversive_geometry.
- Transformation_geometry wikiPageWikiLink Isaak_Yaglom.
- Transformation_geometry wikiPageWikiLink Linear_algebra.
- Transformation_geometry wikiPageWikiLink Mathematics.
- Transformation_geometry wikiPageWikiLink Mathematics_education.
- Transformation_geometry wikiPageWikiLink Matrix_(mathematics).
- Transformation_geometry wikiPageWikiLink Max_Jeger.
- Transformation_geometry wikiPageWikiLink Motion_(geometry).
- Transformation_geometry wikiPageWikiLink New_Math.
- Transformation_geometry wikiPageWikiLink One-seventh_area_triangle.
- Transformation_geometry wikiPageWikiLink Pedagogy.
- Transformation_geometry wikiPageWikiLink Reflection_(mathematics).
- Transformation_geometry wikiPageWikiLink Reflection_symmetry.
- Transformation_geometry wikiPageWikiLink Robin_Hartshorne.
- Transformation_geometry wikiPageWikiLink Roger_Evans_Howe.
- Transformation_geometry wikiPageWikiLink Roger_Lyndon.
- Transformation_geometry wikiPageWikiLink Rotation.
- Transformation_geometry wikiPageWikiLink Russia.
- Transformation_geometry wikiPageWikiLink Set_theory.
- Transformation_geometry wikiPageWikiLink Springer_Science+Business_Media.
- Transformation_geometry wikiPageWikiLink Symmetry_group.
- Transformation_geometry wikiPageWikiLink Synthetic_geometry.
- Transformation_geometry wikiPageWikiLink Transformation_matrix.
- Transformation_geometry wikiPageWikiLink Translation_(geometry).
- Transformation_geometry wikiPageWikiLink Zalman_Usiskin.
- Transformation_geometry wikiPageWikiLink File:Simx2=rotOK.svg.
- Transformation_geometry wikiPageWikiLink File:Simx2=transl_OK.svg.
- Transformation_geometry wikiPageWikiLinkText "Transformation approaches".
- Transformation_geometry wikiPageWikiLinkText "Transformation geometry".
- Transformation_geometry wikiPageWikiLinkText "Transformation_geometry".
- Transformation_geometry wikiPageWikiLinkText "geometric transformations".
- Transformation_geometry wikiPageWikiLinkText "transformation geometry".
- Transformation_geometry wikiPageWikiLinkText "transformation model".
- Transformation_geometry wikiPageWikiLinkText "transformation".
- Transformation_geometry wikiPageUsesTemplate Template:Cite_book.
- Transformation_geometry wikiPageUsesTemplate Template:Reflist.
- Transformation_geometry subject Category:Geometry.
- Transformation_geometry subject Category:Mathematics_education.
- Transformation_geometry subject Category:Symmetry.
- Transformation_geometry hypernym Approach.
- Transformation_geometry type ProgrammingLanguage.
- Transformation_geometry type Field.
- Transformation_geometry type Physic.
- Transformation_geometry type Technique.
- 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 "Transformation geometry".
- Transformation_geometry sameAs Q3956339.
- Transformation_geometry sameAs Transformationsgeometri.
- Transformation_geometry sameAs Transformationsgeometrie.
- Transformation_geometry sameAs Geometría_de_las_transformaciones.
- Transformation_geometry sameAs Transzformációgeometria.
- Transformation_geometry sameAs Geometria_delle_trasformazioni.
- Transformation_geometry sameAs Geometria_das_transformações.
- Transformation_geometry sameAs m.02dtn5.
- Transformation_geometry sameAs Q3956339.
- Transformation_geometry wasDerivedFrom Transformation_geometry?oldid=698822115.
- Transformation_geometry depiction Simx2=transl_OK.svg.
- Transformation_geometry isPrimaryTopicOf Transformation_geometry.