Practical Arguments of Prospective Primary Education Teachers in Mathematical Modelling Problems

This article studies practical argumentation in the context of designing application problems and transforming them into modelling problems. To this end, the practical arguments developed by prospective primary education teachers were analysed, using a scheme for structuring and representing these arguments and a modelling cycle for representing the solution plans proposed to these problems. This is a case study with three groups of prospective teachers who were taking a course on mathematical reasoning and activity in primary education, where problem solving and mathematical modelling were the two most relevant topics. For data collection, a questionnaire was applied to and an interview was conducted with the study subjects, thus identifying nine episodes of practical argumentation based on the justification of their pedagogical decisions made on the design and transformation of problems. Also, the written reports prepared by the study subjects were reviewed to analyse their solution plans proposed to the problems. The results showed that the study subjects developed practical arguments to justify the design of motivating learning situations and problems for students in realistic contexts close to their environment and the transformation of application problems into modelling problems by eliminating data from their statements and formulating an open-ended question.