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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Autorzy: Acuña Chacón, Reiman Yitsak, Chinchilla Valverde, Jorge Luis
Format: artículo original
Status:Versión publicada
Data wydania:2026
Opis: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.  
Kraj:Portal de Revistas TEC
Instytucja:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Język:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/8538
Dostęp online:https://revistas.tec.ac.cr/index.php/matematica/article/view/8538