TY - JOUR
T1 - Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico
AU - Barraza-García, Zeidy Margarita
AU - Vázquez, Avenilde Romo
AU - Roa-Fuentes, Solange
N1 - Publisher Copyright:
© 2022, Revista Electronica de Investigacion Educativa. All Rights Reserved.
PY - 2022
Y1 - 2022
N2 - This paper presents a theoretical model for the study of mathematical talent, grounded in the Anthropological Theory of Didactics (ATD) and the notion of creativity. This model proposes two components of creative mathematical activity: the mathematical component, which supports mathematical techniques; and the creative component, defined by four functions: producing new techniques, optimizing techniques, considering tasks from different angles, and adapting a technique. Based on the theoretical model and a reference epistemological model on infinite sequences, a learning design comprising six problem situations was developed and then implemented in an institution established to foster mathematical talent. The analysis of two tasks performed by a pair of children offers a case study that illustrates how tackling challenging tasks of the same kind, in a favorable institutional setting, makes it possible to develop mathematical talent.
AB - This paper presents a theoretical model for the study of mathematical talent, grounded in the Anthropological Theory of Didactics (ATD) and the notion of creativity. This model proposes two components of creative mathematical activity: the mathematical component, which supports mathematical techniques; and the creative component, defined by four functions: producing new techniques, optimizing techniques, considering tasks from different angles, and adapting a technique. Based on the theoretical model and a reference epistemological model on infinite sequences, a learning design comprising six problem situations was developed and then implemented in an institution established to foster mathematical talent. The analysis of two tasks performed by a pair of children offers a case study that illustrates how tackling challenging tasks of the same kind, in a favorable institutional setting, makes it possible to develop mathematical talent.
KW - Creativity
KW - Generalization
KW - Mathematics
KW - Talent
UR - http://www.scopus.com/inward/record.url?scp=85125111988&partnerID=8YFLogxK
U2 - 10.24320/REDIE.2022.24.E01.4167
DO - 10.24320/REDIE.2022.24.E01.4167
M3 - Artículo
AN - SCOPUS:85125111988
SN - 1607-4041
VL - 24
JO - Revista Electronica de Investigacion Educativa
JF - Revista Electronica de Investigacion Educativa
M1 - e01
ER -