Using GeoGebra in generalization processes of geometrical challenging problems

Nós, Rudimar Luiz; Sano, Mari; Lago, Rodrigo Cesar

doi:10.23925/2237-9657.2021.v10i1p049-064

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…Related Work: Several studies in the literature support the use of GeoGebra for showing geometric properties [15,17,18,19]. For example, Nós, Sano, and Lago [14] employed GeoGebra to establish properties related to challenging geometric problems [16]. Lago and Nós [12] used the application to create dynamic animations illustrating geometric loci.…”

Section: ]mentioning

confidence: 99%

A Dynamic View of Some Geometric Loci via Geogebra

Nos,

Sano,

Mazotti Rodrigues da Silva

2024

ReviSeM

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We present in this work dynamic experiences that explore interesting geometric loci,such as Miquel points, Fermat points, Nagel points, and Gergonne points. In thesedynamic approaches, accessible through external links to pages on the GeoGebra platform,readers can change parameters through sliders and observe, as the parametersvary, whether the introduced changes satisfy the hypotheses that define the geometricloci. Additionally, we utilize GeoGebra to create two-dimensional geometric figures.In addition to providing definitions, we offer proofs of the theorems that establish theuniqueness of the covered geometric loci. Some of the proofs introduced in this workinvolve the concept of isotomic cevians, which needs more coverage in the existing literature.In summary, GeoGebra is an invaluable tool for constructing dynamic approachesto explore geometric loci. It empowers students to test hypotheses both before andafter formal demonstrations. One concludes that GeoGebra is a versatile software thatcan be effectively integrated into geometry education at all levels. Keywords: Isotomic cevians, Miquel’s point, Fermat’s points, Gergonne’s point, Nagel’spoint.

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Section: ]mentioning

confidence: 99%

A Dynamic View of Some Geometric Loci via Geogebra

Nos,

Sano,

Mazotti Rodrigues da Silva

2024

ReviSeM

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“…Assim, empregamos o GeoGebra para construir experiências dinâmicas com teoremas geométricos clássicos (SILVA, 2022;NÓS, 2020;SANO;LAGO, 2021). Dentre estes, selecionamos para este artigo o teorema de Pitágoras.…”

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Uma visão dinâmica do teorema de Pitágoras via GeoGebra

Silva

Nós

Sano

2023

IGISP

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Apresentamos neste trabalho algumas visualizações dinâmicas do teorema de Pitágoras usando o GeoGebra. Para as experiências manipulativas, selecionamos algumas demonstrações dentre as 370 catalogadas por Elisha Scott Loomis em sua obra The Pythagorean Proposition, sendo uma delas a equicomposição de Perigal. Construímos as abordagens dinâmicas em páginas na plataforma GeoGebra, acessadas por links externos. Concluímos que o GeoGebra é uma excelente ferramenta para explorar dinamicamente o teorema de Pitágoras, possibilitando abordagens algébrico-geométricas assim como vetoriais.

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Using GeoGebra in generalization processes of geometrical challenging problems

Cited by 2 publications

References 12 publications

A Dynamic View of Some Geometric Loci via Geogebra

A Dynamic View of Some Geometric Loci via Geogebra

Uma visão dinâmica do teorema de Pitágoras via GeoGebra

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