The October 2, 2008 defended the thesis PhD entitled,
THE INTEGRAL IN A REAL VARIABLE IN THE TRAINING TECHNICAL COLLEGE: DIMENSIONS FOUND IN THE TEACHING AND LEARNING
by Luis E. Able P . and directed by Dr. Mario Arrieche
was presented at the Pedagogical University Experimental Libertador Pedagogical Institute "Rafael Alberto Escobar, Ed.D. (Maracay, Venezuela). SUMMARY
The integral in a real variable, is a topic of calculus has many applications in the work of technology, there is present in technical training university. However, students have difficulties to understand and apply this mathematical object. That is why this research investigated deeply and systematically on this issue. It was assumed theoretical framework Ontological-semiotic approach to cognition and mathematics instruction (Godino, 2003), as it provides tools to analyze the processes of teaching and learning of mathematics from the epistemological, cognitive and instructional brought into play in the teaching and learning of mathematics. The research methodology, was formed by qualitative and quantitative approaches, but mainly qualitatively. Epistemic analysis was developed to also delve into the institutional meaning of reference (intended, implemented and evaluated) on the integral in a real variable, identified six configurations epistemic (Godino, 2003). In assessing the process of studying for the teaching of the definite integral, developed with a group of students IUET computing career-La Victoria, we noted at the outset that the criteria for evaluating the educational adequacy allow us to perfect the process . In response to them can highlight a few conclusions: a) It is necessary to harmonize the geometrical and analytical aspects present in the concept of integral, b) using mathematical software to simulate processes quadratures which improves the ability of abstraction and infinite geometric issues, c) if the students are clear about the concepts, theorems and interpretations of the integral geometric a real variable, can solve problems using the computer even have a deficiency in the calculation and d) the difficulties of students in the integral calculus are determined by deficiencies in basic operations of algebra and arithmetic.
Descriptors:
The integral variable in a real, ontological-semiotic approach, personal meanings, meanings institutional teaching experience, educational qualifications and epistemic configuration.
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