Argumentos intuitivos de futuros profesores: una experiencia con probabilidad

From an epistemological and cognitive perspective, this research report analyzes the intuitive arguments produced by future mathematics teachers at the baccalaureate level in an experience with a random phenomenon in a systematic way. The theoretical elements are framed in the conceptual development of probability (intuitive, classical, frequency and axiomatic), intuition, empirical test scheme and argumentation. With a qualitative approach, a teaching activity on random mixing was developed with 12 participants from a Mexican public university. The method of experience allowed the instrumentation of class scripts, script of reference activity, control sheets and video recording. The results suggest a configuration of intuitive arguments regarding the measure of probability, sample space, combinatorial and law of large numbers, which allowed us to evolve to mathematical notions related to probability.