In the last decade of the XX century, a proposal for a curricular change in the teaching of probability at all levels of education was attended. In the curricular designs, not only in Spain, but in other countries, it is suggested to start this teaching at an earlier age and introduce the probability in its frequency. The recommended methodology is based on experimentation and simulation of randomised experiments. Thus, for example, in the NCTM standards it is stated that students should explore through situations and actively, the probability models.
Through experimentation and simulation, students must formulate hypotheses, test conjecture, and debug their theories based on new information. It is assumed that this methodology will help to overcome the difficulties and obstacles that, on the development of the intuition of the chance have described different authors, like Fischbein and Gazit (1984).
Experimentation and simulation are the most appropriate ways to move from the primary intuitions on chance (those that are formed before and independently of a systematic teaching) to secondary intuitions (which form after a systematic process of education)
In primary education it is fundamentally to develop a "probabilistic intuition" as tightly as possible. The methods of probabilistic allocation will be, fundamentally, the statistic of the occurrence of the events to study and the contrast before and after the experimentation. All children have, to a greater or lesser extent, a priori opinion from very early ages, and in all cultures, of the possible but indeterminate (intuition of chance). The overall goal at this stage is focused on adjusting these two probabilistic allocation modes.
I invite you to make a simple random experiment, to configure the application with 4 balls inside the urn (two green balls and two blue, for example) numbered with 1, 2, 3 and 4 respectively. To perform, automatically, so many extractions of 2 balls with replacement as desired... (minimum 40 or 50 extractions). But, before starting automatic extractions, formulate your hypothesis about the outcome of the experiment in which we are going to consider the probabilities of two complementary events: that the two extracted balls have the same color or that they have diffrerent colour.
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