Abstract

A relatively common practice in mathematics education is the application of various numerical exercises to procedural setting calculation, which in many situations is necessary, but not suiti-cient for understanding the conceptual meaning of the subject. Considering the limitation of this approach, we used a methodological alternative, from a didactic sequence, in order to enhance the learning of certain concepts of differential and integral calculus. The sequence was proposed and implemented in Engineering courses offered at IFES - campus Cariacica and FAESA in seeking to facilitate the understanding of the definite integral using Riemann sum. The methodology involves the identification and selection of a solid revolution, determination and mathematical modeling generating region using a mathematical software, slicing generating region, generating corresponding cylindrical disks to these slices, the calculation of volumes of several slices using a spreadsheet, the mathematical modeling of the total volume using sum and the use of definite integrals to obtain the volume. During the development work it was evident that this teaching resource promotes interactions between students, dialogue and space for discussions, showing up as a facilitator of learning concepts and methods.

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