Document (#38210)

Author

Reiss, K.
Ufer, S.

Title

Was macht mathematisches Arbeiten aus? : Empirische Ergebnisse zum Argumentieren, Begründen und Beweisen

Source

Jahresbericht der Deutschen Mathematiker-Vereinigung. 111(2009) H.4, S.155-177

Year

2009

Abstract

Beweisen ist die Tätigkeit, durch die sich mathematisches Arbeiten von der Vorgehensweise in allen anderen Wissenschaften unterscheidet. Dazu gehört es selbstverständlich, Aussagen zu begründen und logisch konsistent zu argumentieren. Argumentieren, Begründen und Beweisen sind entsprechend auch als wichtige Zielkompetenzen des Mathematikunterrichts durch Lehrpläne und Bildungsstandards festgeschrieben. Wie aber gehen Schülerinnen und Schüler mit diesen schwierigen Lerngegenständen um? Eine Antwort auf die Frage ist von zentraler Bedeutung, wenn man wirklich der Thematik im Unterricht gerecht werden will und die Lehramtsausbildung darauf abstimmen möchte. Der vorliegende Beitrag widmet sich diesem Thema und den entsprechenden Kompetenzen von Schülerinnen und Schülern. Dabei geht es zunächst um eine Klärung und Abgrenzung der Begriffe und um die Beschreibung von Voraussetzungen mathematischen Argumentierens, Begründens und Beweisens. Anhand von nationalen und internationalen empirischen Ergebnissen zu Schülerkompetenzen werden sie in ihrer Bedeutung diskutiert und verglichen. Eine vertiefte Analyse führt zu Vorschlägen für die Ausbildung (nicht nur) von Lehramtsstudierenden im Fach Mathematik.

Field

Mathematik

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