Abstract

BOERO, Paolo. From analysis and representation of space situations, to theoretical thinking in Geometry: A grade 3 - grade 9 pathway. Rev. Fac. Cienc. Tecnol. [online]. 2012, n.32, pp.37-52. ISSN 0121-3814.

The aim of this paper is to illustrate, through examples taken from a Project widely experimented in primary and lower secondary school since the end of the seventieths, how it is possible to move from the argumentative construction of geometrical concepts in suitable fields of experience (in particular, the field of experience of sun shadows) to the development of students' argumentative skills that are needed to validate conjectures in geometry, and to their approach to 3-D geometry theorems. Production and argumentative validation of hypotheses concerning suitable space situations and phenomena provide students with the opportunity of both developing conceptualization in the field of geometry, and approaching hypothetical reasoning (''if... then...''), deductive enchaining of propositions, etc. Most examples will deal with 3D-situations concerning sun shadows

Keywords : Geometry of sun shadows; argumentation; conceptualization; approach to proof.

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