Search results for "Hypocycloid"

showing 2 items of 2 documents

A continuing debate in elementary geometry: the Simson–Wallace line and its many generalisations

2016

For some years now the importance has been appraised of demonstrating elementary geometry to pupils and future teachers through interactive geometry software. This fits within a view of the teaching of geometry that stresses a hands-on approach, thanks to which it is possible to teach the subject via historical syllabi, touching on ideas from different origins and of a transversal nature. The debate about the role of elementary geometry in the last 30 years is connected to this, with contributions by scholars such as Yaglom, Scimemi and Betti. In the perspective of following a sequence of elementary geometry constructions historically connected with each other, we suggest a path that analys…

SequencePure mathematicsClifford pointSubject (philosophy)HypocycloidElementary geometry; Simson–Wallace line; Clifford point; HypocycloidEpistemologySyllabusPerspective (geometry)Transversal (combinatorics)Line (geometry)Simson–Wallace lineElementary geometry Simson–Wallace line Clifford point HypocycloidPoint (geometry)Elementary geometryHistory of scienceMathematics
researchProduct

From art to geometry: Aesthetic and beauty in the learning process

2015

Starting from the concept that knowledge comes as element of mediation between the convergent thinking, founded on experience, and the divergent thinking, placed in the perceptive, intuitive, creative dimension, in this paper we want to present an idea for developing an educational path combining the concept of “beauty” and some historical notes. It is possible to use this dissertation as a starting point to conceive a geometric laboratory that drawing inspiration from artistic works, get to create geometric shapes provided with fascinating symmetries

creative thoughtPrimary 00A66 Secondary 00A35Hypocycloids; creative thought; mathematical thought; art.History and Overview (math.HO)Mathematics - History and OverviewHypocycloids creative thought mathematical thought art.FOS: MathematicsHypocycloidsSettore MAT/04 - Matematiche Complementarimathematical thoughtart
researchProduct