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Cálculo no ensino médio: histórico e perspectivas / Calculus in high school: history and perspectives

In this paper we advocate curriculum reforms directed to the study of introductory topics of differential and integral calculus during high school development in order to improve the transition to higher education and contribute to improving the performance of this subject in higher education institutions. This problem is substantiated by the high rates of non-approval of students taking this course. We present a history of curricular reforms that have already applied this proposal and argue about the aspects that should be considered by a future reform. Finally, we analyze the structure of calculus teaching and the possible need of a curricular reform in order to contribute to the improvement of the current panorama.