protogeometrie.de
ProtogeometrieProtogeometrie
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Protogeometrie
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Protogeometrie | protogeometrie.de Reviews
https://protogeometrie.de
Protogeometrie
protogeometrie.de
Neuere Entwicklung
http://www.protogeometrie.de/neuere_entwicklung.html
Ab Ende der 1970er Jahre verfolgen einerseits Lorenzen selbst und sein Schüler. Revidierte Konzeption der Protogeometrie. Vorgestellt und versucht, sie als Vortheorie der Geometrie mit methodischer Zielsetzung im Rahmen der Theoriekonstitution der Geometrie hervortreten zu lassen. Im Buch Protogeometrie (Amiras 2014), das auf der Habilitationsschrift beruht, wird die aktuelle Version dieser Protogeometrie vorgestellt. Die Aufgabe, die ich mir gestellt habe, ergibt sich aus folgenden Tatbeständen:. Die bi...
Lucas Amiras
http://www.protogeometrie.de/lucas_amiras.html
Grundlagen der Geometrie, Protogeometrie Didaktik der Mathematik, insb. Diaktik der Geometrie Philosophie der Mathematik Phänomenologie. Studium der Mathematik, Philosophie und Physik an den Universitäten Heidelberg und Konstanz. Studium der Psychologie und Pädagogik an der PH Weingarten. Mehrjährige Lehrtätigkeit in Schule und Erwachsenenbildung. 1999 Promotion in Philosophie. Seit 1999 Dozent für Mathematik und ihre Didaktik an der PH Weingarten. 2006 Habilitation. 2006-.
Dingler und Lorenzen
http://www.protogeometrie.de/dingler_und_lorenzen.html
Der erste Theoretiker, der die handwerkliche Herstellung der Ebene ( Urzeugung , Drei-. Verfahren ) zur Grundlage der geometrischen Begriffsbildung anstrebt, ist. 1954) Seine Idee läuft darauf hinaus, die zur Beschreibung des technischen Verfahrens zur Herstellung von Ebenen verwendeten Begriffe, welche gestaltliche oder Form-. Verhältnisse betreffen (allen voran die. In der Folge greift. 1994) die Idee Dinglers auf, präzisiert sie logisch mit Hilfe von.
Lobatschewski Bis Poincare
http://www.protogeometrie.de/lobatschewski_bis_poincare.html
Den ersten Schritt über Euklid hinaus unternimmt 1829. 1793 1856) mit seinem Versuch, die geometrischen Grundbegriffe Punkt, Linie und Fläche auf der Basis von Berührbeziehungen zwischen Körpern zu erklären. Dieser Versuch blieb bis zu unserer Zeit relativ unbeachtet und völlig wirkungslos. Im Zuge der technischen und industriellen Revolution im 19. Jahrhundert entsteht zunehmend das Bedürfnis, immer genauere Geraden und Ebenen an Werkstücken herzustellen. Viele namhafte Handwerker in England neh...
Antike
http://www.protogeometrie.de/antike.html
3 Jhdt v. Chr.) werden die Grundbegriffe der Geometrie (Punkt, Linie, Fläche, Gerade, Ebene) mit Hilfe von problematischen Definitionen erklärt, deren Status für den Aufbau der Geometrie problematisch bleibt. I Buch. Definitionen. 1 Ein Punkt ist, was keine Teile hat. 2 Eine Linie ist breitenlose Länge. 3 Die Enden einer Linie sind Punkte. 4 Eine gerade Linie ist eine solche, die zu den Punkten auf ihr gleichmäßig liegt. 5 Eine Fläche ist, was nur Länge und Breite hat. 6 Die Enden einer Fläche sind Linien.
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Recent developments
http://www.protogeometry.org/recent_developments.html
Lorenzen and his pupil. On one side and. Thesis in 2006. In my book Protogeometrie (Amiras 2014) the actual version of my efforts can be found. A little book concerning the main aspects and presenting them in a more popular scientific manner is already in planning. This website is designed to serve the needs emerging from the following facts:. The historical development of the efforts since Dingler is. The contributions to Protogeometry are. In journals and for those interested in the subject not easily ...
Didactics
http://www.protogeometry.org/didactics.html
In most schoolbooks and university textbooks on geometry the meaning of the primitive notions plane (surface) and straight (line) is dismissing. In few exceptions there is an effort to convey their meaning by using activities where concrete handicraft realisations of planes and straight lines are used. But after that, nobody comes over to an explanation of the properties named by plane or straight imposed on physical objects. From Lobatchevsky to Poincaré.
Protogeometry
http://www.protogeometry.org/protogeometry.html
The main issue of protogeometry can be conveyed by a question, which emerges right from the beginning at learning geometry, but has never hitherto been answered:. What is the meaning of straight (line) or flat (surface)? The table gives an idea about the relationships between these practical domains, the related concepts and the issue here:. Be positioned on, overlapping,. Coincidence of markings, inside-. Outside of figures, borders, ends etc. Position markings on bodies, drawing borderlines. Technical ...
History
http://www.protogeometry.org/history.html
The following brief outline of history can help to understand the objectives regarding my actual effort in protogeometry. More investigations of the historical background can be found in my book (Amiras 2014, in German). From Lobatchevsky to Poincaré.
Protogeometry, what is it about?
http://www.protogeometry.org/protogeometry_what_is_it_about.html
Protogeometry.what is it about? Protogeometry possesses therefore the character of a. Of common Euclidean geometry, known to us all from school experience. From Lobatchevsky to Poincaré.
Protogeometrie
http://www.protogeometry.org/index.html
This website provides a first information. About my scientific work on protogeometry. On this website you can get information about:. The approach in my book on Protogeometry (Amiras 2014). The historical background of protogeometry and operative geometry didactics. Publications on the subject. Protogeometry, what is it about? From Lobatchevsky to Poincaré.
Lucas Amiras
http://www.protogeometry.org/lucas_amiras.html
Study of mathematics, philosophy and physics at the universities of Heidelberg and Constance. Study of psychology and pedagogy at the university of education in Weingarten. For many years teacher at school and in adult education. 1999 Ph.D. in Philosophy of mathematics (University of Constance). Since 1999 Lecturer of mathematics and didactics of mathematics at the University of Education in Weingarten. 2006 Habilitation for mathematics and didactics of mathematics. 2006-. Scientific fields of activity.
Publications
http://www.protogeometry.org/publications.html
Logos Verlag Berlin 2014. The book offers comprehensive information covering all aspects of protogeometry and is addressed at mathematicians, philosophers, teachers of mathematics and experts in mathematics education. Teachers of mathematics at secondary schools can find therein new proposals for activities on introducing elementary notions of geometry. The book is in German. An article on the impact of protogeomety on didactics of geometry is already in preparation. Further, a shorter bo...
Dingler and Lorenzen
http://www.protogeometry.org/dingler_and_lorenzen.html
The first theorist, who explicitly makes the practical procedure of producing flat surfaces (primal production, German: Urzeugung, 3-. Procedure) a basis of a terminological determination of the term plane is. 1954) He has the idea to terminologically use the terms of a description of the procedure (touch relations, fitting) to give a definition of plane surface as a specifically formed surface (1911). For five decades Dingler s effort directed at the constitution of a pre-. From Lobatchevsky to Poincaré.
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Protogeometrie
Die Website bietet einen Zugang. Zu meinem wissenschaftlichen Werk. Was wird hier angeboten? Eine Orientierung über die Protogeometrie. Mit Bezug auf mein Buch (Amiras 2014). Kurze Infos über den historischen Hintergrund. Der Protogeometrie und über operative Geometriedidaktik. Aktuelle Informationen über Veröffentlichungen zur Thematik. Protogeometrie, was ist das?
Protogeometrie
This website provides a first information. About my scientific work on protogeometry. On this website you can get information about:. The approach in my book on Protogeometry (Amiras 2014). The historical background of protogeometry and operative geometry didactics. Publications on the subject. Protogeometry, what is it about? From Lobatchevsky to Poincaré.
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