Abstract
In this investigation, a methodology based on Social Constructivism is proposed to favor the assimilation of theorems through the process of Problem Solving in the students of the Higher Technical University level of the Autonomous University of Guerrero, Mexico. The theoretical-qualitative validation of the methodology was carried out by consulting experts who contributed to systematize the link between the theory and the methodological elements and its implication in the design of specific activities for the treatment of the theorem of variable change.
Highlights
Llorens and Santonja (1997), document the following didactic and cognitive conflicts that originate during the teaching-learning process of the Defined Integral in college students
Morales (2013) establishes that previous situations show that defined integral activities which are generally practiced on students, the meanings of the change of variable are not emphasized
Objective: to evaluate the effects produced by the change of variable in the region of integration and in the calculation of the defined integral
Summary
Llorens and Santonja (1997), document the following didactic and cognitive conflicts that originate during the teaching-learning process of the Defined Integral in college students. Taking in to account investigations around the study of the theorems of integral calculus, it has been identified that in most cases their treatment does not prioritize the conceptual elements, it is reduced to procedural elements In this direction, (Aldana & González, 2009, 2012; Llorens & Santonja, 1997; Muñoz, 2007, 2010) it is declared that the procedures to calculate integrals using the integration methods, are carried out, fundamentally, through repetitive exercises and in a separate way with their conceptual base. Morales (2013) establishes that previous situations show that defined integral activities which are generally practiced on students, the meanings of the change of variable are not emphasized. The problems associated with the insufficient assimilation of the theorems of integral calculus are attended and the objective is the creation of a holistic methodology to favor the assimilation of the theorem of the change of variable in students of the Technical Superior University level of the Autonomous University of Guerrero, Mexico
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