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The Mathematical Concept of set and the 'Collection' Model (1998)

Fischbein, Efraim ; Baltsan, Madlen

Springer

Educational studies in mathematics 37 (1998), S. 1-22

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ISSN: 1573-0816

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Analysing the various misconceptions held by students with regard to the mathematical set concept, the authors hypothesized that these misunderstandings may be explained by the initial ‘collection’ model. Even after learning the formal properties of a set in the mathematical sense, the students are still influenced in their reactions by the collection representation, which acts ‘from behind the scenes’ as a tacit model. If the mathematical concept is not continually reinforced through systematic use, it is the initial figural interpretation which will replace, as an effect of time, the formal one. The findings confirmed this hypothesis.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1003421206945

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