Bees and GeoGebra: partnership in animation the waggle dance

Authors

DOI:

https://doi.org/10.23925/2237-9657.2021.v10i1p151-167

Keywords:

Artistic Animation, Bee Dance, GeoGebra

Abstract

In the present work, through artistic animation, the behavior of bees is analyzed through the dance known as the “waggle dance”. The aim of this work is to reproduce the artistic animation of the dance of the "waggle dance" of the bees through parametric curves and functions using the software GeoGebra, according to the distance from the food source and the direction of the sun. The work has been carried out by a group of students in an interdisciplinary way supported by two teachers between the months of August and December 2019. Parametric curves with the number eight format, has been the way to idealize the dance and the dynamics of the communication of the location and distance from the food source, built using GeoGebra software to understand animation in the perspective of mathematical development within the hive.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Author Biography

Walyssom Miranda Medeiros, Universidade Federal de Uberlândia

Licenciado em Matemática pelas Faculdades Integradas de Fernandópolis - Fernandópolis, SP;

Bacharelando em Matemática pela Universidade Federal de Uberlândia - Uberlândia, MG;

Professor de Matemática da rede pública estadual de Minas Gerais na cidade de Uberlândia.

References

BARRON, A. B.; PLATH, J. A. The Evolution of honeybee dance communication: a mechanistic perspective. Journal of Experimental Biology. 4339, 2017.

BASSANEZI, R. C. Ensino-aprendizagem com modelagem matemática: uma nova estratégia. 3. ed., 1ª reimpressão. - São Paulo: Contexto, 2009. 390 p.

COUVILLON, M. J.; SCHÜRCH, R.; RATNIEKS, F. L.W. Waggle dance distances as integrative indicators of seasonal foraging challenges. PloS one, v. 9, n. 4, p. e93495, 2014.

GRÜTER, C., LEADBEATER, E. Insights from insects about adaptive social information use. Trends in ecology & evolution, v. 29, n. 3, p. 177-184, 2014. HOHENWARTER, M. GeoGebra 5.0, 2019. Disponível em: http://www.geogebra.org.

PROCTOR, R. A. The Geometry of Cycloids. Londres: London, Longmans, Green and Co., 1878.

VON FRISCH, K. The Dance Language and Orientation of Bees. New York, Harcourt, Brace. 1955.

VON FRISCH, K.; LINDAUER, M. The language and orientation of the honeybee. Annual review of entomology, v. 1, n. 1, p. 45-58, 1956.

VON FRISCH, K. The Dance Language and Orientation of the Bees, Harvard University Press, Cambridge, MA. (Second Edition) 1967.

WINSTON, M. L. 2003. A biologia da abelha. Tradução de Carlos A. Osowski. Magister. Porto Alegre. 276 p.

Downloads

Published

2021-06-05

How to Cite

Bertone, A. M. A., Tanajura, V. D. do V., Borges, A. S., Medeiros, W. M., & Jafelice, R. S. da M. (2021). Bees and GeoGebra: partnership in animation the waggle dance. Journal of the GeoGebra International Institute of São Paulo, 10(1), 151–167. https://doi.org/10.23925/2237-9657.2021.v10i1p151-167

Issue

Vol. 10 No. 1 (2021)

Section

Artigos

License

Submission, processing, and publication of articles sent to the journal and registration of the DOI at Crossref is free of charge.

Authors retain their copyright and grant the journal the right of first publication of their article, which is simultaneously licensed under a Creative Commons - Attribution 4.0 International license CC BY that allows others to share the article by acknowledging its authorship and initial publication by the journal.

The GeoGebra journal encourages its authors to register their work with information and communication management systems aimed at researchers, such as Academia.edu, Mendeley, ResearchGate, etc.