Autor(es):
Ponte, João Pedro da 
Data: 1985
Identificador Persistente: http://hdl.handle.net/10451/4553
Origem: Repositório da Universidade de Lisboa
Assunto(s): Funções; Estratégias; Ensino da Matemática
Detalhes do Documento
Geometrical and numerical strategies in students' functional reasoning
Descrição
This paper reports results of a reaserch project on the reasoning processes used by students in handling numerical functions and interpreting Cartesian graphs. Functions are a central topic in the high school and college undergraduate mathematics curriculum. Many properties of numerical functions are naturally described by their graphs, thus making particularly relevant the dialetic between numerical and geometrical aspects. In this paper, functional reasoning refers to the mental processes associated with the classical notions of functional dependence -- that is, with the notion that in some circumstances the value assumed by a certain variable depends in a weel-defined way on the value taken by another variable.
This paper reports results of a reaserch project on the reasoning processes used by students in handling numerical functions and interpreting Cartesian graphs. Functions are a central topic in the high school and college undergraduate mathematics curriculum. Many properties of numerical functions are naturally described by their graphs, thus making particularly relevant the dialetic between numerical and geometrical aspects. In this paper, functional reasoning refers to the mental processes associated with the classical notions of functional dependence -- that is, with the notion that in some circumstances the value assumed by a certain variable depends in a weel-defined way on the value taken by another variable.
Tipo de Documento
Documento de conferência
Idioma Inglês
Idioma Inglês
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