Cálculo integral para o Ensino Médio

Alyrio A. Cordeiro Neto
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Abstract

In the examinations of the Program for International Student Assessment (Pisa), there are questions that assess the student’s ability to estimate areas of a region of the plane, where the boundary is not given only by straight line segments, using the information contained in a map. Motivated by these problems, we present a didactic sequence to introduce, in High School, rudimentary notions of the Integral Calculus, with the aid of the software of dynamic geometry GeoGebra, so that we can obtain the estimates. We also show that through the knowledge about integration processes, students of the last stage of Basic Education can develop some specific skills and abilities of Mathematics and its technologies described in the National Curricular Common Base (BNCC).
高中积分计算
在国际学生评估项目(Pisa)的考试中,有一些问题是评估学生使用地图中包含的信息估计平面区域面积的能力,其中边界不仅仅是由直线段给出的。在这些问题的激励下,我们提出了一个教学序列,在高中,用动态几何软件GeoGebra来介绍基本的积分概念,这样我们就可以得到估计。我们还表明,通过整合过程的知识,基础教育最后阶段的学生可以发展一些国家课程共同基础(BNCC)中描述的数学及其技术的特定技能和能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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