Analysis of a textbook of geometry based on depth hermeneutics

• Autor(a) principal: Cury, Fernando Guedes
• Data de Publicação: 2019
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Zetetiké (Online)
• Texto Completo: https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8654251
• topic: Ensino de geometria; Livro didático; Hermenêutica de profundidade; Classificação de problemas; Formalismo; Teaching of geometry; Textbook; Hermeneutics of depth; Classification of problems; Formalism

The paper presents results of the analysis of a Geometry textbook too much used in Math teacher’s edication inBrazil called Elementos de Geometria Plana, written by João Lucas Barbosa. We were guided by the followquestions: how are the most common Euclidean geometry books organized / structured in the training ofmathematics teachers? and what kind of tasks are proposed to your readers? For this, we use the DepthHermeneutics as research methodology because we understand that the textbook is a "symbolic form" (humanintentional production). The study contemplated an investigation of the context of the production and circulationperiod of the first edition of that book and an analysis of its structure, with emphasis on a classification of thetasks proposed there. We perceive strong ties of the book with ideas characteristic of the Modern MathematicsMovement, such as the overvaluation of the teaching based on the logical-deductive construction, notably, thegreat proposition of exercises directed to proofs of conjectures.