Geodesic
Understanding algorithms of vertical addition and subtraction
The Teaching of Mathematics, XII (2009) no. 2, p. 57

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we split into all intermediate steps and illustrate algorithms of vertical addition and subtraction of two-digit and three-digit numbers. We consider the relating of symbolic codes of arithmetic to their iconic representations to be a basic way of supplying them with meaning. Hence, our didactical maxim is: I see, therefore I understand. Writing this paper, our intension is deepening of teachers' understanding of these classical algorithms of arithmetic and, as our analysis shows it clearly, a right understanding is more a matter of good knowledge of didactics of mathematics than of mathematics itself.
Classification : 1AMS00A35 97F30 2ZDMF32
Keywords: Decimal notation, decimal grouping, algorithms of vertical addition and subtraction, regrouping and the Cantor Principle of Invariance of Number. 
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Milosav M. Marjanović; Aleksandra N. Mandić. Understanding algorithms of vertical addition and subtraction. The Teaching of Mathematics, XII (2009) no. 2, p. 57 . http://geodesic.mathdoc.fr/item/TM2_2009_XII_2_a1/