A Broader Way Through Themas of Elementary School Mathematics, I
The Teaching of Mathematics, II (1999) no. 1, p. 41

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As a basis for treatment of elementary school mathematical themas, a phenomenological scheme representing concepts as three component entities is given. Three related components: class of examples, mental image and name, serve very well as a piece of general language used in subject analysis. With regard to iconic representation of concepts, ``leaf'' used in that representation is considered as being a premodel of geometric plane. To underline that idea and hence, to avoid some often encountered discrepancies, the following rule which governs such representation is formulated: two icons occupying different places are different. At the end, the first topic ``Sets and Counting'' is sketched, setting forth the way how the meaning of words ``set'' and ``element'' can be assimilated at the initial stage.
Classification : 00A35
Keywords: Schematic representation of concepts, iconic and syntactic environments, sets and counting.
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Milosav M. Marjanović. A Broader Way Through Themas of Elementary School Mathematics, I. The Teaching of Mathematics, II (1999) no. 1, p. 41 . http://geodesic.mathdoc.fr/item/TM2_1999_II_1_a2/