Análisis de las representaciones de los cálculos operacionales en la solución de un problema de movimiento uniforme

This article exposes the analysis of the representations of twelve participants regarding the operational calculation when manipulating speed, time, and distance variables, and their relationship in the solution of a proportionality problem presented by the Uranus v1 software and three control tasks. The microgenetic method was used to analyze the performance patterns together with semi-structured interviews, in order to infer throughout the content analysis of the verbalizations, the respective representations. Three cases are illustrated: beginner, intermediate, and expert, which used various addition, multiplication, and proportionality calculations, along with different relationships between variables from the absence of links to conceiving them interrelated concerning distance. Five intermediate subjects presented the R3 type representation of additive calculations concerning the variables that produce effects. An expert also revealed the R5 type representation of proportional calculation. In synthesis, the solution of the problem requires complex interactions, subject, task, and educational social context.