Representations of the generalization of a functional relationship and the relation with the interviewer’s mediation

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URI: http://hdl.handle.net/10481/64673
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Author
Ramírez Uclés, Rafael; Ureña, Jason; Molina González, Marta
Materia
Representations of generalization
 
Algebra
 
Date
2019
Referencia bibliográfica
Ureña, J., Ramírez, R. y Molina, M. (2019) Representations of the generalization of a functional relationship and the relation with the interviewer’s mediation / Representaciones de la generalización de una relación funcional y el vínculo con la mediación del entrevistador Infancia y aprendizaje, 1-21 (English versión), 22-43 (Versión en español)
Sponsorship
This work is part of the doctoral studies of the first author supported by Universidad de Costa Rica. This study was developed within the Spanish project of Research and Development with reference code EDU2016-75771-P, financed by the Spanish Ministry of Economy and Competitiveness. / Este trabajo forma parte de los estudios doctorales del primer autor, con la ayuda de la Universidad de Costa Rica. Este estudio se desarrolló como parte del proyecto de Investigación y Desarrollo EDU2016-75771-P, financiado por el Ministerio de Economía y Competitividad español.
Abstract
The ability to generalize and represent the generalization exhibited by eight fourth-grade students was analyzed in this descriptive study, designed around a semi-structured interview involving a task based on the linear functional relationship y=x+2. The relation of the interviewer’s mediation on students’ representations of generalization was determined on the grounds of students’ interaction with her. Four forms to represent the generalization of a functional relationship were defined. The findings confirm the importance of mediation in helping students strengthen their ability to recognize, represent and generalize functional relationships
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