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? / L. Branchetti, V. DURAND-GUERRIER. - In: PROCEEDINGS. - ISSN 2496-1027. - 2018:(2018), pp. hal-01849536.14-hal-01849536.23. ((Intervento presentato al 2. convegno INDRUM Conference of the International Network for Didactic Research in University Mathematics : 5 - 7 April tenutosi a Kristiansand (Norway) nel 2018.
Are all denumerable sets of numbers order-isomorphic?
L. BranchettiPrimo
;
2018
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 stake
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