Propuesta didáctica para la comprensión, consolidación y aplicación de las principales técnicas de conteo en la resolución y comprobación de problemas de probabilidad

Abstract

The Teaching-Learning process is complex; First, the interest, and motivation of the student is important. In addition to the above, the social and cultural context can have a positive or negative influence on learning in the area of mathematics and particularly on the notions of probability. The present work presents a didactic proposal that is supported by the use of computational tools. The objective of this proposal is to improve the understanding and fixation of concepts of counting techniques through the use of visual and descriptive forms (appropriate tables and codifications). Real-life examples are presented, so that the student can build formal definitions that allow generalizations under mathematical rigor. For the design of the teaching strategy we rely on constructivist and learning theories under didactic situations. These teaching models have great educational potential because they encourage reflection and analysis. In this way the student acquires skills in the approach, resolution, interpretation and verification of probability problems. In a second stage it is expected to experiment with the application of this proposal in the classroom. In this way, difficulties in teaching-learning processes can be identified and innovative teaching strategies can be proposed.