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We aim to identify what prospective mathematics teachers indicated that they learned regarding mathematics and mathematics teaching as they participated in a lesson study. The theoretical framework is supported by models about teachers’ knowledge and prospective teachers learning processes. The methodology is qualitative and interpretative, with data collected by interviews and documents made by participants. The participants indicated to understand the importance of different representations in mathematics. They also indicated to appreciate the value of the detailed planning of the lesson, the careful selection of tasks, the analysis of possible student strategies and difficulties, and the preparation of classroom communication.

A pesquisa, guiada pela questão ‘Que conhecimentos profissionais são mobilizados em um estudo de aula com professores universitários que ensinam Cálculo Diferencial e Integral?’, envolveu oito docentes de instituições de Ensino Superior da região sul do Brasil que se dedicam à formação de futuros professores de Matemática. O estudo de aula, estruturado em doze encontros semanais de duas horas, abordou ‘Máximos e Mínimos’, um tópico de Cálculo. A análise qualitativa evidenciou que o foco e a dinâmica do estudo de aula mobilizaram e aprofundaram conhecimentos profissionais relativos à Matemática, à Didática da Matemática e à Missão do formador de futuros professores de Matemática., La investigación, guiada por la pregunta “¿Qué conocimiento profesional se moviliza en un estudio de aula realizado con profesores universitarios que enseñan Cálculo Diferencial e Integral?”, involucró a ocho profesores de instituciones de enseñanza superior del sur de Brasil que se dedican a la formación de futuros profesores de Matemática en la educación básica. El estudio de clase, estructurado en doce encuentros semanales, abordó el tema de “Máximos y Mínimos”. El análisis cualitativo mostró que el enfoque y la dinámica del estudio de aula movilizaron y permitieron profundizar en conocimientos profesionales relativos a las Matemáticas, a la Didáctica de las Matemáticas y a la misión del formador de futuros profesores de Matemáticas., The research, guided by the question “What professional knowledge is mobilized in a Calculus lesson study conducted with university instructors?”, involved eight instructors from higher education institutions in southern Brazil who are dedicated to the training of prospective mathematics teachers. The lesson study, structured in twelve weekly two-hour meetings, addressed the topic “maxima and minima”. The qualitative analysis showed that the approach and dynamics of lesson study mobilized and deepened professional knowledge regarding mathematics, mathematics didactics and the mission of the trainer of future mathematics teachers.