Das Baumdiagramm als Hilfsmittel zur Erstbegegnung mit kombinatorischen Fragestellungen: Planung, Durchführung und Reflexion einer Unterrichtseinheit
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Examensarbeit aus dem Jahr 2007 im Fachbereich Mathematik - Stochastik, Note: 2,0, Sprache: Deutsch, Abstract: "Stochastik? Was war das doch gleich noch mal?" [...] "Ach ja, das habe ich in der Schule nie verstanden!" So, oder ähnlich lauteten die Antworten, die ich in meinem Freundes- und Bekanntenkreis zu hören bekam, als ich ihnen von der Idee erzählte, die ich für meine Examenseinheit hatte. Mein Vorhaben, den Kindern bereits in der Grundschule Grundkenntnisse der Stochastik, hier speziell der Kombinatorik zu vermitteln, löste gro e Diskussionen aus. Ich selbst bin als Schülerin erst in der Oberstufe (und später wieder an der Uni) mit Wahrscheinlichkeitsrechnung konfrontiert worden und habe dabei festgestellt, dass selbst erfahrungsgemä gute Schüler Probleme damit hatten. Von daher gehe ich mit der Meinung vieler Wissenschaftler konform, die behaupten, dass Stochastik im Sinne des Spiralcurriculums bereits in der Grundschule beginnend unterrichtet werden soll. Trotzdem gibt es auch immer wieder gegenteilige Meinungen, die es für zu früh oder überflüssig halten, Kindern in der Grundschule solche Themen zuzumuten. Allzu häufig gilt die Meinung, die Kinder seien damit überfordert. In diesem Zusammenhang habe ich mir als Ziel gesetzt, folgende drei Fragen am Ende der Einheit beantworten zu können: 1. Ist das Thema "Kombinatorik" bereits in der Grundschule sinnvoll? 2. Wie korreliert das sonstige mathematische Leistungsniveau mit dem Leistungsniveau auf dem Gebiet der Kombinatorik bei den Schülern? 3. Erkennen die Schüler das Baumdiagramm als systematische Hilfe und nehmen es als Lösungsweg (von Textaufgaben) an? Um die Fragen in der Schlussreflexion beantworten zu können, umfasst die Examenshausarbeit die Bereiche: Planung, Durchführung und Reflexion des Themas
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