Semiotic representation registers of the exponential function concept. Part I
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Abstract
The concept of function is a fundamental mathematical object in the abstraction process, especially in the exponential function, which is essential to the learning of various physical and social processes. This function is part of mathematics curricula from primary up to high school. The extension of these programs in high-level education restricts the necessary time to cover this content. In addition, traditional educational systems only include some changes in mathematical representations, which according to Semiotics Representation Theory (Duval, 1993) are not enough for the students to develop a functional understanding of this function. In this article we present the effect of the instruction through Hake’s average normalized gain (Hake, 1997), based on a didactic sequence and its relation with Hitt’s (1998) understanding level. Results show the experimental group developed higher gain and understanding levels compared to the control group. In addition, a 0.5 correlation was found between these two indicators.
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