That Was Then…This is Now: Utilizing the History of Mathematics and Dynamic Geometry Software

Abstract

Pre-service mathematics teacher (PST) education often addresses within Geometry Classes how to utilize Dynamic Geometric Software (DGS). Other classes may also incorporate teaching pre-service teachers about the history of mathematics. Although research has documented the use of Dynamic Geometric Software (DGS) in teaching the history of mathematics (HoM) (Zengin, 2018), the focus of this research specifically targets the development of proof for pre-service teachers by utilizing DGS to revisit historical proofs with a modern lens. The findings concur with Fujita et.al. (2010), Zengin (2018), and Conners (2007) work on proof. The novelty of this article was the combination of incorporating the history of mathematics (HoM), dynamic geometry software (DGS), and Toulmin’s model of argumentation. A pedagogical approach appeared to emerge: DGS’s dynamic nature allowed PSTs to see several examples of a method to provide them with an illustration that may be used in proofs.

A Proposição XXXIV do Livro I dos Elementos de Oliver Byrne no GeoGebra

“…Por outro lado, temos as atividades que possibilitam um olhar desde uma perspectiva mais contemporânea, por meio dessas tecnologias, de problemas ou demonstrações nesses tratados (Coelho et al, 2023;Castillo, 2022;Teixeira et al, 2023). Isoda (2002) descreve diversas tecnologias digitais para apoiar esses tipos de atividades que citamos, entre elas: Algebraic Expresser, Function Probe, Calculus Unlimited; DGS Geraniou, 2021;Meadows;Caniglia, 2021), como o Cabri (Baki;Guven, 2009), o Geometer's Sketchpad (Dennis;Confrey, 1997) e o GeoGebra Thomsen, 2021;Zengin, 2018); planilhas (Excel, Lotus, etc. ); e CAS (Hašek;Zahradník, 2015).…”

Incorporating history of mathematics in open-ended problem solving: An empirical study

“…(3) as a line in the plane (specifically in the first quadrant) and look for the points with integer coordinates through which it passes. For this purpose we used the dynamic geometry software GeoGebra, as Meadows and Caniglia (2021) and Zengin (2018) did very successfully in a history of mathematics course.…”

História da matemática e geometria dinâmica: um novo olhar ao teorema de Viviani para o ensino médio

“…Dependendo do tipo de tecnologia digital e da forma de inserir a mesma na prática pedagógica dos professores, os estudantes podem enfrentar determinadas dificuldades (Carvalho, 2021). Neste trabalho, consideramos que um tipo de tecnologias digital ideal para mediar as atividades baseadas em tratados antigos ou de outras fontes, são aqueles que podem auxiliar os alunos a traduzir e interpretar conceitos por meio de várias representações (Isoda, 2002), entre estes, temos os: Graphing Software (Algebraic Expresser, Function Probe, Calculus Unlimited); Software de Geometria Dinâmica (DGS) (Jankvist & Geraniou, 2021;Meadows & Caniglia, 2021), como o Cabri (Baki & Guven, 2008), Geometer's Sketchpad (Dennis & Confrey, 1997); GeoGebra (Zengin, 2018;Thomsen, 2021;Sousa, 2021); Planilhas (Excel, Lotus, etc. ); Sistemas de álgebra computacional (CAS) (Hašek & Zahradník, 2015).…”