Abstract

http://dx.doi.org/10.5902/2179460X14523This article is the result of the dissertation of the Professional Masters in Mathematics in National Network, held in March 2013 at the Federal University of Santa Maria (UFSM). The work aimed to verify the possibility of inclusion in high school, the intuitive ideas of the Differential and Integral Calculus: limits of a function, the average rate of change, instantaneous variation and calculation of areas under the graph of positive functions, limited the x-axis and vertical lines, or even between positive functions in a particular area of the same range. To facilitate the understanding of these ideas, activities were developed using the Software GeoGebra as support learning tool. The activities were applied to an experimental group of students from the first year of High School, combined with the study of quadratic functions. It was found that you can open the horizons within the teaching and learning of mathematics in high school, to the intuitive ideas of calculus. In this work, the objectives of this research will be presented, some proposed activities and the results achieved, and propose developments to deepen and apply the issues discussed here.

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