História para o ensino de geometria analítica nas produções de história da matemática do Brasil

Abstract

This research refers to the history of analytic geometry in the productions of History of Mathematics in Brazil, so this research is research type research. For the methodological development we base on the epistemological assumptions of Gamboa (2012), so that it subsidizes the analysis of each identified production according to the research objective that concerns the proposed activities for the teaching of analytical geometry in the research productions centered on its historical and methodological aspects, for its use in mathematics classes exposed in the Brazilian productions of History of Mathematics, within the scope of postgraduate dissertation and thesis level, event annals, education journals and short course books offered by SBHMat in SNHM. To guide the research, we consider the following question: What approaches and contributions emerge for the teaching of analytic geometry in the production of History of Mathematics in Brazil? As results we identified thirty-seven works referring to the history of analytical geometry classified in the research trends in History of Mathematics, namely; History and Epistemology of Mathematics (HEpM), History of Mathematical Education (HEdM) and History for Teaching Mathematics (HEnM) Thus, sixteen productions were identified in relation to the master's level scientific production, twelve related to the works published in the annals of events, three in the journals of the area and finally six short course books were identified. From this finding we elaborate referrals for teachers of basic education from the information contained in the productions classified in HEnM in order to reveal how the approaches presented in the research can be worked in line with the textbook.