In this paper we study cognitive conflicts on the issue of number sets being dense, ordered and denumerable. We first provide historical-epistemological background related to these notions. Then we consider the cognitive conflicts under the lenses of concept image and concept definition, which we use to analyse empirical data collected in order to understand better the didactical and cognitive issues at stake
Are all denumerable sets of numbers order-isomorphic? / Branchetti, Laura; DURAND-GUERRIER, Viviane. - ELETTRONICO. - (2018), pp. 14-23. (Intervento presentato al convegno INDRUM 2018 tenutosi a Kristiansand (Norway) nel April, 2018).
Are all denumerable sets of numbers order-isomorphic?
Branchetti, Laura
;
2018-01-01
Abstract
In this paper we study cognitive conflicts on the issue of number sets being dense, ordered and denumerable. We first provide historical-epistemological background related to these notions. Then we consider the cognitive conflicts under the lenses of concept image and concept definition, which we use to analyse empirical data collected in order to understand better the didactical and cognitive issues at stakeI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
