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Uebungensammlung Zu Einer Geometrischen Propädeuse

Uebungensammlung Zu Einer Geometrischen Propädeuse

          
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About the Book

Die vorliegenden Aufgaben unterscheiden sich von den ge- wohnlich in den propadeutischen Geometriebiichern verwende- ten in einer wesentlichen Hinsicht: sie sind nicht auf das an- schauliche Erfassen der Siitze des systematischen Curses ge- richtet, sondern auf die Ausbildung der wichtigsten geometri- schen Begritte und auf das Anschaffen eines moglichst variier- ten Vorrates von riiumlichen Vorstellungen. Dementsprechend wird in ihnen vor allem der qualitative Aspekt der Raumbe- ziehungen hervorgehoben. Das Herstellen dieser Sammlung ist von der Ueberzeugung geleitet, dass die Erziehung des Vorstellungsvermogens durch Mittel von anschaulichen Beweisen der iiblichen propadeuti- schen Cursusse einerseits unzuIanglich, andrerseits aber auch unnotig ist - unnotig, wenn das Vorstellungsvermogen genii- gend entwickelt ist, bevor man zu irgend welchen Satzen iiber- geht; und dass der systematische Cursus in jeder Hinsicht wertvoller sein diirfte, wenn er nicht durch das unscharfe Vorarbeiten im propadeutischen Unterricht von vornherein langweilig gemacht ist. 1m Ubrigen moge die folgende einleitende Skizze die Stel- lungnahme der Verfasserin zu den herrschenden Ideen be- ziiglich des Geometrieunterrichtes erklaren und ihre eigene Auffassung von der zweckmassigsten Einfiihrung in die Geo- metrie verdeutlichen. EINLEITUNG § 1. Es gibt, bekanntlich, zwei Richtungen im Geometrie- unterricht. Die eine - recht alte - basiert auf der Auffassung, dass die Grundbegriffe und Axiome der Geometrie dem Men- schen angeboren seien, und dass man also nur braucht, von ihnen ausgehend, das ganze System der Satze und ihrer Be- weise in dem Geiste von Euclides vor den Schillern zu ent- wickeln.


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Product Details
  • ISBN-13: 9789401187428
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1931 ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 3 mm
  • Width: 156 mm
  • ISBN-10: 9401187428
  • Publisher Date: 01 Jan 1931
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 44
  • Series Title: German
  • Weight: 91 gr


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