Covariate reasoning in calculus: development from the use of tasks

The design of coordinated analysis as variables of two interdependencies (covariational reasoning - CR) is a central aspect of Calculus learning, the most discussed skills are mobilized amid the mathematical routines triggered by work with tasks. Realization of a qualitative research, interpretive,...

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Detalles Bibliográficos
Autores principales: Gonçalves, William José, Trevisan, André Luis, Silva, Daniel Daré Luziano da, Ribeiro, Alessandro Jacques
Formato: info:eu-repo/semantics/article
Lenguaje:Portugués
Publicado: Universidade Estadual de Campinas 2020
Materias:
Acceso en línea:https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8656038
http://biblioteca-repositorio.clacso.edu.ar/handle/CLACSO/67894
Descripción
Sumario:The design of coordinated analysis as variables of two interdependencies (covariational reasoning - CR) is a central aspect of Calculus learning, the most discussed skills are mobilized amid the mathematical routines triggered by work with tasks. Realization of a qualitative research, interpretive, from records of written production and excerpts from dialogues of a group of students without work with a task in conjunction with a bottle that fills. The task made possible the exploration of the skills including: quantity and reasoning about its measurement process; imagine minute varying continuously; coordinate pressure pairs that can vary together (time, height, volume and radius).  In addition, students were able to establish a relationship between height and volume, building a representation in which the inversion in the concavity of the graph showed an understanding of the existence of a change in the rate of change in this situation.