Inter - and intracollective circulation in the research groups of History of Mathematics Education

Abstract: Following the initial studies on the epistemology by Ludwik Fleck (1896-1961), concepts such as collectives and thought style, exoteric and esoteric circles, and inter- and intracollectiveness, are related to the research groups in Santa Catarina that investigate the History of Mathematics Education (HEM): Teaching of Natural Sciences and Mathematics at Fundação Universidade Regional de Blumenau (FURB); Group of Studies and Research in Mathematics Education (GEPEM IFSC) of Instituto Federal de Santa Catarina (IFSC); Group of Contemporary Studies and Mathematics Education (GECEM) of Universidade Federal de Santa Catarina (UFSC); and the Research Group on the History of Mathematics Education - Santa Catarina (GHEMAT / SC) of UFSC. In this paper, we discuss the interactions, through different approaches, among these groups, which form a network of researchers, in which different intracollective thought styles circulate. Events in HEM provide the expansion and strengthening of groups that study this subject.