About this paper

Appears in:
Pages: 3151-3156
Publication year: 2016
ISBN: 978-84-608-5617-7
ISSN: 2340-1079
doi: 10.21125/inted.2016.1735

Conference name: 10th International Technology, Education and Development Conference
Dates: 7-9 March, 2016
Location: Valencia, Spain

THE GEOMETRY THROUGH THE BODY: DOING, ACTING, THINKING

C. D'Anna1, N. Palladino2, N. Pastena1

1Università di Salerno (ITALY)
2Università di Palermo (ITALY)
The geometry has been for more than two millennia one of the most important fields of knowledge of mathematics, identifying with it for a long time. In education, the relationship between the geometry and the physical world it has always been considered one of the main elements for the acquisition of specific skills and competencies. In the teaching-learning processes the thinking he close interconnection between doing, acting, thinking is therefore crucial.

Teaching through the body may prove effective for teaching mathematics wich, very often, is hard to be learned because of difficulties that the child encounters in assimilating mathematical symbolism and, after, applying it to real life and the abstract context of academic problems.

The difficulty that the child encounters in the acquisition of a mathematical concept, is often due to the reason that he experimentes with the action too late; it is necessary, indeed, that the manipulative and concrete experience comes before the others.

Piaget stated that “the intelligence is a system of operations […] the operation is nothing more than action: a real action, but internalized, that becomes reversible. In order that the child comes to combine operations, whether numerical operations or space operations, it is necessary that he has manipulated, it is necessary that he has acted, made experience not only on pictures but on real materials, on physical objects” (Piaget, J. (1956). Avviamento al calcolo. Firenze: La Nuova Italia).

The child, therefore, learns by doing, and the body, in all its forms, becomes a useful tool for learning.
We present here an experimentation with primary school children, in order to teach a few fundamentals of elementary euclidean geometry; for example, properties of triangles: when we can compose triangles with side lengths (the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side).
@InProceedings{DANNA2016GEO,
author = {D'Anna, C. and Palladino, N. and Pastena, N.},
title = {THE GEOMETRY THROUGH THE BODY: DOING, ACTING, THINKING},
series = {10th International Technology, Education and Development Conference},
booktitle = {INTED2016 Proceedings},
isbn = {978-84-608-5617-7},
issn = {2340-1079},
doi = {10.21125/inted.2016.1735},
url = {http://dx.doi.org/10.21125/inted.2016.1735},
publisher = {IATED},
location = {Valencia, Spain},
month = {7-9 March, 2016},
year = {2016},
pages = {3151-3156}}
TY - CONF
AU - C. D'Anna AU - N. Palladino AU - N. Pastena
TI - THE GEOMETRY THROUGH THE BODY: DOING, ACTING, THINKING
SN - 978-84-608-5617-7/2340-1079
DO - 10.21125/inted.2016.1735
PY - 2016
Y1 - 7-9 March, 2016
CI - Valencia, Spain
JO - 10th International Technology, Education and Development Conference
JA - INTED2016 Proceedings
SP - 3151
EP - 3156
ER -
C. D'Anna, N. Palladino, N. Pastena (2016) THE GEOMETRY THROUGH THE BODY: DOING, ACTING, THINKING, INTED2016 Proceedings, pp. 3151-3156.
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