PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
Historical Analysis on Predictive Practices: The Case of Chaotic Dynamics
Page: 1658
This poster focuses on the historical analysis of three main characters of the history of chaos: the Poincare’s error in his memoire about the three-body problem, the ideas of Edward Lorenz about the deterministic non-periodic flow, and the work of Robert May about the logistic map. This into the Variational Thinking and Language research program from the Socioepistemological Theory. The results show a predictive practice characterized for four main actions: to search periodicities, to recognize the uncertain, to compare temporal states, and to classify kinds of behaviors. We assume that the promotion of landscapes and activities out of school are a way for construct specialized mathematical knowledge, and the incorporation of the ability to wait for the unexpected is necessary for teachers and students living this century.