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Appears in:
ICERI2017 Proceedings (browse)
Pages: 2210-2217
Publication year: 2017
ISBN: 978-84-697-6957-7
ISSN: 2340-1095
doi: 10.21125/iceri.2017.0646

Conference name: 10th annual International Conference of Education, Research and Innovation
Dates: 16-18 November, 2017
Location: Seville, Spain

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FORMS AND FORMULAS WITH GEOGEBRA

M. Oliveira, S. Nápoles, J. Soeiro

Faculdade de Ciências Universidade de Lisboa (PORTUGAL)
The purpose of this paper is to show how mathematics can relate the natural and man-made forms with equations and, conversely, how it allows the visualization of forms generated by equations.

We show how to take advantage, simultaneously, of 2D and 3D GeoGebra, to construct applications that simulate the generation of surfaces by families of generating functions. Regarding the curves to generate surfaces, a special attention is given to the conics to be studied using a 2D Geogebra application based on the general equation of conics.

Relations with art and architecture arise naturally. Works by renowned architects such as Antoni Gaudí, Felix Candela, Oscar Niemeyer and Santiago Calatrava are commented in terms of its forms and formulas.

We believe that the association of forms with formulas has great potential from an interactive point of view, providing an enrichment of knowledge and stimulating the development of activities in school environment.
keywords: geometry, geogebra, applications, architecture.
@InProceedings{OLIVEIRA2017FOR,
author = {Oliveira, M. and N{\'{a}}poles, S. and Soeiro, J.},
title = {FORMS AND FORMULAS WITH GEOGEBRA},
series = {10th annual International Conference of Education, Research and Innovation},
booktitle = {ICERI2017 Proceedings},
isbn = {978-84-697-6957-7},
issn = {2340-1095},
doi = {10.21125/iceri.2017.0646},
url = {https://dx.doi.org/10.21125/iceri.2017.0646},
publisher = {IATED},
location = {Seville, Spain},
month = {16-18 November, 2017},
year = {2017},
pages = {2210-2217}}
TY - CONF
AU - M. Oliveira AU - S. Nápoles AU - J. Soeiro
TI - FORMS AND FORMULAS WITH GEOGEBRA
SN - 978-84-697-6957-7/2340-1095
DO - 10.21125/iceri.2017.0646
PY - 2017
Y1 - 16-18 November, 2017
CI - Seville, Spain
JO - 10th annual International Conference of Education, Research and Innovation
JA - ICERI2017 Proceedings
SP - 2210
EP - 2217
ER -
M. Oliveira, S. Nápoles, J. Soeiro (2017) FORMS AND FORMULAS WITH GEOGEBRA, ICERI2017 Proceedings, pp. 2210-2217.
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