Abstract:

The main idea is, to put in scene a scholar situation at university, designed in terms of didactic engineering; through practices of numerical modelling in the classroom [1], these two theoretical aspects will give support to the mathematical object, which in turn will respond to proposed phenomenon.
We will speak about an object called triangulation and some possible treatments, such as so-called absolute Gaussian curvature and mean curvature.
This object is used in the irregular surfaces approximation [2], in two or three dimensions, so that it can be applied to different cases in multiple areas of science and technology.
So, the proposed modeling in the classroom is too wide or long, in the sense of possible phenomena that triangulation can be applied to obtain the corresponding numerical modeling.
Then, it has implemented the modeling practice, in the classroom, receiving proposals from students and were determined the possibilities of realization of each proposal.
One of the proposals considered for experimentation was that, in which the triangulation process is applied and the data were obtained from a contour map result of Earth's magnetic field observations.
Another proposal considered for experimentation was a map with the distribution of the population with low economic level and was obtained from the census of one of the delegations at Federal District, Mexico.
In both proposals, students were working in the discretization of maps, obtaining random data, i.e. measurements were considered located at random positions on the maps in question.
Once the set of points obtained referring to a rectangular location system, the triangulation process was applied to determine the surface approximation.
It is noteworthy that the students were interested in experimentation and thus shown that a major goal was reached in the experience; it was the motivation and we thought that, learning could have been significant, because they knew in advance that, they would understand the process of triangulation and they could apply correctly, because they knew that they learned, because they knew why they did it.
Therefore, we think it's very important to give meaning to the learning processes in any area of human knowledge, through the contextualization of the objects of study and using modeling practices in the classroom.
We dare to postulate that this type of teaching situations could be either one of the innovative and technological means by which the student can experience learning interest and significant type, different to that shown on a conventional or traditional classroom.

References:
Arrieta, J. (2005). Las prácticas de modelación como proceso de matematización en el aula. Tesis doctoral no publicada. Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional. México
Alboul, I. and Van Dame R. (1997). Polyhedral metrics in surface reconstruction: tight triangulations. In T. N. T. Goodman, editor, The mathematics for surfaces. 7(1), pp. 309-336.

Keywords:

Modeling, practices, classroom.