GeoGebra Discovery at EGMO 2022
DOI:
https://doi.org/10.23925/2237-9657.2022.v11i2p005-016Keywords:
GeoGebra, Automatic Proof, Euclidean Geometry, Olympics, EGMOAbstract
This study will show the ability (or inability) of GeoGebra Discovery to deal with Euclidean geometry problems proposed at the recent European Girls' Mathematical Olympiad (Hungary, April 6-12, 2022). After a brief introduction to the context of this Olympiad and to the program GeoGebra Discovery, the problems will be described and an attempt will be made to solve them with GeoGebra Discovery, finally pointing out the relationship between the difficulties encountered by the team members and by GeoGebra, which can contribute to the establishment of criteria on the interest (and complexity) of the automatically obtained results.
Downloads
Metrics
References
Bak, P. (2020): Automated generation of planar geometry Olympiad problems. Master Thesis. Pavol Josef Šafárik University in Košice.
Espinoza, J.; Lupiáñez, J.L.; Segovia, I. (2022): A Study of the Complexity of Problems Posed by Talented Students in Mathematics. Mathematics,10,1841. https:// doi.org/10.3390/math10111841
European Girls’ Mathematical Olympiad. [EGMO] (April 26, 2022). https://www.egmo.org
European Girls’ Mathematical Olympiad 2022. [EGMO2022] (April 26, 2022). https://www.egmo.org/egmos/egmo11/
Gao, H.; Li, J.; Cheng J.: (2019): Measuring Interestingness of Theorems in Automated Theorem Finding by Forward Reasoning Based on Strong Relevant Logic. In: 2019 IEEE International Conference on Energy Internet (ICEI), pp. 356–361, doi:10.1109/ICEI.2019.00069.
Hanna, G.; Yan, X. (2021): Opening a discussion on teaching proof with automated theorem provers. For the Learning of Mathematics 41(3):42--46.
Kovács, Z.: GeoGebra Discovery. A GitHub project. (April 26, 2022). https://github.com/kovzol/geogebra-discovery.
Problems: European Girls’ Mathematical Olympiad 2022, [Problems:EGMO2022], 2022). https://www.egmo.org/egmos/egmo11/solutions.pdf
Quaresma, P.; Santos, V.; Graziani, P.; Baeta, N. (2020): Taxonomy of geometric problems. Journal of Symbolic Computation 97, 31–55.
Quaresma, P.; Santos, V. (2022): Four Geometry Problems to Introduce Automated Deduction in Secondary Schools. In: J. Marcos, W. Neuper and P. Quaresma (Eds.): Theorem Proving Components for Educational Software 2021 (ThEdu’21): EPTCS 354, 2022, pp. 27-42, http://eptcs.web.cse.unsw.edu.au/paper.cgi?ThEdu21.3
Real Sociedad Matemática Española. Comisión de Olimpiadas. [RSME], (April 26, 2022). https://www.rsme.es/la-sociedad/organizacion-interna/comisiones-comites-y-grupos/comision-de-olimpiadas/
Real Sociedad Matemática Española: European Girls’ Mathematical Olympiad. [RSME-EGMO], (April 26, 2022). https://www.rsme.es/european-girls-mathematical-olympiad/
Recio, T.; Van Vaerenbergh, S.; Vélez, M. P. (2020). Herramientas de Razonamiento Automático en GeoGebra: qué son y para qué sirven. Unión, Revista Iberoamericana de Educación Matemática. Año XVI - Número 59. Agosto 2020, páginas 08-15. https://union.fespm.es/index.php/UNION/article/view/202
Santos, V.; Baeta, N.; Quaresma, P. (2019): Geometrography in Dynamic Geometry. The International Journal for Technology in Mathematics Education, vol. 26, no. 2, June 2019, pp. 89—96.
Spanish Team. European Girls’ Mathematical Olympiad 2022. [Spanish Team:EGMO2022] (April 26, 2022). https://www.egmo.org/egmos/egmo11/countries/country45/
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Revista do Instituto GeoGebra Internacional de São Paulo
This work is licensed under a Creative Commons Attribution 4.0 International 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.