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.

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Acuña Chacón, Reiman Yitsak, Chinchilla Valverde, Jorge Luis
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2026
Περιγραφή: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.  
Χώρα:Portal de Revistas TEC
Ίδρυμα:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Γλώσσα:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/8538
Διαθέσιμο Online:https://revistas.tec.ac.cr/index.php/matematica/article/view/8538