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.

Voir la notice de l'article provenant de la source Library of Science

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 
@article{AUPCDM_2015_7_1_a8,
     author = {Zar\k{e}ba, Lidia},
     title = {The role of visualisation in the process of generalisation},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia},
     pages = {111--128},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a8/}
}
TY  - JOUR
AU  - Zaręba, Lidia
TI  - The role of visualisation in the process of generalisation
JO  - Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
PY  - 2015
SP  - 111
EP  - 128
VL  - 7
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a8/
LA  - en
ID  - AUPCDM_2015_7_1_a8
ER  - 
%0 Journal Article
%A Zaręba, Lidia
%T The role of visualisation in the process of generalisation
%J Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
%D 2015
%P 111-128
%V 7
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a8/
%G en
%F AUPCDM_2015_7_1_a8
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/