Chaos: Iteration Sensitivität Mandelbrot-Menge Ein Arbeitsbuch
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Das vorliegende Arbeitsbuch ist Teil eines Paketes von verschiedenen Materialien, die das Ziel haben, das Thema Chaos und Fraktale in den mathematisch-naturwissenschaftlichen Unterricht einzuf�hren. Ein weiteres Anliegen besteht darin, das mentale Bild von Mathematik im Bewu tsein der Sch�ler attraktiver zu gestalten. Mathematik ist die Antwort des Menschen auf die Komplexit�t der Welt. Mathematik ist die Ordnungsmacht im Dschungel der Ph�nomene. Deshalb ist Mathematik le- bendig, frisch und aktuell. Deshalb gibt es zwischen einzelnen Teilgebieten und Ergebnissen der Mathematik immer wieder �berraschende Querverbindungen, die oft das Verst�ndnis einer Sache erst wirklich erhellen. Und deshalb bietet es sich an, durch entdeckendes, explorierendes Lernen die Anziehungskraft dieser Eigenschaften der Mathematik im Unterricht auszunutzen. Chaos und Fraktale bieten hierf�r eine besondere neue Chance. Beide sind jung und aktuell und belegen so ohne weiteres, da Mathematik lebt. F�r beide gilt, da einige ihrer schrittmachenden Entdeckungen nicht ohne Hilfe von Computern m�glich gewesen w�ren. Damit r�cken faszinie- rende Computerexperimente nat�rlich in den Mittelpunkt. Beide sind hochgradig interdisziplin�r. Dieses hei t, da gehaltvolle Anwendungen nicht erst m�hsam konstruiert werden m�ssen. Beide behandeln Themen, die von sich aus wirken. Tats�chlich durchlaufen seit Ende der siebziger Jahre Mathematik und Naturwissenschaften eine Welle, die in ihrer Kraft, Kreativit�t und Weitr�umigkeit l�ngst ein interdisziplin�res Ereignis er- sten Ranges geworden ist. Das andauernde Interesse innerhalb und au erhalb der Wissenschaften ist in einer aufr�ttelnden Betroffenheit begr�ndet, die eine radikale Wende in dem �berkommenen naturwissenschaftlichenWeltbild und manchen �berdehnten Interpretationen ank�ndigt.
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