¿Qué matemática acontece en el aula de Cálculo Diferencial? Error y producción matemática

Abstract

The field of research for this dissertation is a Differential Calculus classroom (Calculus I) at the Federal University of Juiz de Fora (UFJF). Research assumes cartography as a research method. The objective is to inventory events of a group of forces, understood as: undergraduate students in Mathematics and teachers and mathematics curriculum and public university and and and, problematizing error, mathematical production processes and silence in the Calculus classroom. Inventory bets on an experimentation exercise with the writing of this work, which is divided into the following inventions: Inventario - considered as a set of inventions produced from what was possible to COUNT when inventorying this research; Cuestionario - it is treated as a repertoire of questions that accompany me, if i do not cover the investigation and that still accompany me: —What is a math classroom? —How does the classroom become an object of investigation? —What mathematics happens in the Calculus classroom? —Mapping the Calculus classroom is possible? —What lives inhabit the Calculus classroom? Fragmentario - the idea of fragmentary in this section does not refer to a small part of something broken or divided. On the contrary, it is a composition of concepts together with readings, experiences, (mis)knowledge and practices to produce meanings; Cuentario - it is considered as a set of stories and is composed of three blocks: Functions, Limits and Derivative. In this Cuentario it is intended to COUNT stories as forms of life; Afectario - this section is used to COUNT the affects and effects when inventorying this research; Secuestrario - is the word chosen to say about the references. Finally, inventory puts us in the challenge of experiencing a Mathematics as an event, betting on the Powers of Life to force thinking and thinking in other ways in the Mathematics classroom. Inventorying this research together with Gilles Deleuze and Félix Guattari, invents problems, deterritorializes absolute truths and produces ruptures in the field of representations. Events in the Calculus classroom engender ways of researching, inventing and writing alongside a cognitive politics that produces worlds.