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Wenn das Unausgesprochene regelnd wirkt – eine theoretische und empirische Arbeit zum Impliziten


Rüede, C (2009). Wenn das Unausgesprochene regelnd wirkt – eine theoretische und empirische Arbeit zum Impliziten. Journal für Mathematik-Didaktik, 30(2):93-120.

Abstract

This article introduces a concept that will help to make explicit those elements which are often ta¬citly „assumed“ in certain rules and terms. The concept refers both to Ludwig Wittgenstein’s model of meaning and use of conceptual terms, as well as to methods of empirical research in the expert/novice paradigm. Putting those concepts into practice is the main focus of the research pre-sented in this article. I analyzed examples of how experts and novices sort fraction equations into different categories as they solve them. My research shows that experts categorize certain fraction equations differently from each other: what some experts see as a reduction, others classify as structuring, reducing or applying a standardized method. In other word, the implicit meaning in these terms is revealed only in the sum of all the experts’ opinions. Compared to novices, experts tend to work more directly towards possible solutions, and tend to look further ahead. What sepa-rated experts from novices is their expertise in “flexible calculation”.

This article introduces a concept that will help to make explicit those elements which are often ta¬citly „assumed“ in certain rules and terms. The concept refers both to Ludwig Wittgenstein’s model of meaning and use of conceptual terms, as well as to methods of empirical research in the expert/novice paradigm. Putting those concepts into practice is the main focus of the research pre-sented in this article. I analyzed examples of how experts and novices sort fraction equations into different categories as they solve them. My research shows that experts categorize certain fraction equations differently from each other: what some experts see as a reduction, others classify as structuring, reducing or applying a standardized method. In other word, the implicit meaning in these terms is revealed only in the sum of all the experts’ opinions. Compared to novices, experts tend to work more directly towards possible solutions, and tend to look further ahead. What sepa-rated experts from novices is their expertise in “flexible calculation”.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:06 Faculty of Arts > Institute of Education
Dewey Decimal Classification:370 Education
Date:2009
Deposited On:30 Oct 2009 10:22
Last Modified:05 Apr 2016 13:31
Publisher:Vieweg+Teubner
ISSN:0173-5322
Permanent URL: https://doi.org/10.5167/uzh-23453

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