A student's construction of transformations of functions in a multiple representational environment

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorCornell University-
Autor(es): dc.creatorBorba, Marcelo C.-
Autor(es): dc.creatorConfrey, Jere-
Data de aceite: dc.date.accessioned2025-08-21T22:25:07Z-
Data de disponibilização: dc.date.available2025-08-21T22:25:07Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued1996-01-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/BF00376325-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/223805-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/223805-
Descrição: dc.descriptionThis paper reports on a case study of a 16-year-old student working on transformations of functions in a computer-based, multi-representational environment. The didactic approach to reflections, translations and stretches began with visualization exercises, and then was extended to investigate the implications of visual changes in data points, and subsequently, in algebraic symbolism. A detailed analysis of the student's work during the transition from the use of visualization and analysis of discrete points to the use of algebraic symbolism is presented. Two new semiotic forms are introduced as an alternative kind of algebraic symbolism and as a means to facilitate the transition to f(x) notation: covariational equations and the horseshoe display for transformations. The implications of this case for the redesign and modification of the software are discussed. © 1996 Kluwer Academic Publishers.-
Descrição: dc.descriptionMathematics Department Graduate Program of Mathematics Education State University of Sao Paulo (UNESP) Rio Claro Sao Paulo, P.O. Box 178, 13500-230 Rio Claro, SP-
Descrição: dc.descriptionDepartment of Education Cornell University, Ithaca, NY 14853-4203-
Descrição: dc.descriptionMathematics Department Graduate Program of Mathematics Education State University of Sao Paulo (UNESP) Rio Claro Sao Paulo, P.O. Box 178, 13500-230 Rio Claro, SP-
Formato: dc.format319-337-
Idioma: dc.languageen-
Relação: dc.relationEducational Studies in Mathematics-
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Título: dc.titleA student's construction of transformations of functions in a multiple representational environment-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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