Geodesic
The role of visualisation in the process of generalisation
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 111-128 Cet article a éte moissonné depuis la source The Polish Digital Mathematics Library

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In my paper, I discuss the results of individual observations of pupils aged 13-14. These children undertook an attempt to solve problems which were designed in order to bring about an inductive type of generalizing. The main aim of the study was to classify typical methods of proceeding, which represent the pupils’ ways of reasoning and to determine what influence a particular method of proceeding may have on the final outcome of their work. These results indicate the general pupils’ strategies of generalizing. Presumably, visual thinking produces a positive effect on the pupils’ process of generalizing and abilities to describe regularity with the aid of a letter symbol.
Keywords: generalisation, visualisation in mathematics 
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Zaręba, Lidia. The role of visualisation in the process of generalisation. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 111-128. http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a8/