Symbol and Shadow: A Historical and Didactical Analysis of the Square Root of Two.: Símbolo y Sombra: Un análisis histórico y didáctico de la raíz cuadrada de dos.

 

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Nhiều tác giả: Acuña Chacón, Reiman Yitsak, Chinchilla Valverde, Jorge Luis
Định dạng: artículo original
Trạng thái:Versión publicada
Ngày xuất bản:2026
Miêu tả:This article examines the evolution of mathematical language concerning the expression of irrational roots, with special emphasis onsquare root of 2. It traces its notation from antiquity to modern formalization, analyzes decimal-approximation methods, and discusses the cognitive conflicts that arise when reconciling symbolic exactness with finite representations. Finally, it reflects on the philosophical and pedagogical implications of this tension for understanding and teaching irrational numbers. The novelty of this study lies in integrating these historical, philosophical, and didactical perspectives into a replicable instructional model that supports the design of digital-based learning activities.  
Quốc gia:Portal de Revistas TEC
Tổ chức giáo dục:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Ngôn ngữ:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/8538
Truy cập trực tuyến:https://revistas.tec.ac.cr/index.php/matematica/article/view/8538