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Das Wesen Der Mathematik

Das Wesen Der Mathematik

          
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About the Book

Altere Lehrbücher der Mathematik pflegten damit zu beginnen, die Frage nach dem Wesen der Mathematik und ihrer einzelnen Teilgebiete zu beantworten, ja, geradezu Definitionen dieser Be- griffe zu geben. Wir sind heute davon abgekommen. Mit Recht! Denn eine solche Frage gehört nicht an den Anfang, sondern an den Schluß einer gewissen Beschäftigung mit Mathematik. Erst wenn man bereits etwas von der Mathematik kennengelernt hat, erscheint es angebracht, sich einmal über die mathematische Methode, über den Aufbau des Lehrgutes und über seine Grundlage klarzuwerden. Es haben zahlreiche frühere Lehrpläne für höhere Schulen einen "wiederholenden Aufbau des Zahlbegriffes" in die Ober- klassen verlegt. Es haben die Meraner Vorschläge und nach ihnen andere moderne Stoffpläne als Abschluß des mathematischen Unterrichts "Rückblicke unter Heranziehung geschichtlich '[ und philosophischer Gesichtspunkte" gefot: dert. Die preußischen Richt- linien vom Jahre 1925 legten sowohl in den methodischen Bemerkungen wie in den Lehrplänen großen Nachdruck auf derartige philosophisch vertiefte Rückblicke: "Logik und Er- kenntnistheorie finden einen Platz in der Mathematik. Auch die psychologischen Grundlagen des mathematischen Denkens soll der Unterricht berühren. Einzelfragen wie Zahlen- und Raumvor- stellungen sind nach Möglichkeit philosophisch zu vertiefen- so heißt es in ihnen. Auch die Marienauer Vorschläge (1945), um wenigstens einen der neuen Pläne zu nennen, fordern: "Aufbau und Grundlage der Mathematik: Entwicklung des Zahl-und Funk- tionsbegriffes, axiomatisches Verfahren der Grundlegung am Bei- spiel der Geometrie, Ausblicke auf Logik und Erkenntnislehre.


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Product Details
  • ISBN-13: 9783322960597
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Edition: 1949 ed.
  • Language: German
  • Returnable: N
  • Spine Width: 10 mm
  • Width: 148 mm
  • ISBN-10: 3322960595
  • Publisher Date: 01 Jan 1949
  • Binding: Paperback
  • Height: 210 mm
  • No of Pages: 168
  • Series Title: Die Wissenschaft
  • Weight: 222 gr


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