The research work analyzes the learning trajectories of the Ladder game represented in a graph, based on the theoretical elements of reflective abstraction and evolution schemes, with ten students from CAFAM and the Francisco José de Caldas Industrial Technical Institute with ages between 12 and 14 years. The study is carried out using the Ladder game as a relationship instrument between problem solving and learning trajectories, since the mathematical game is capable of being modeled, represented and analyzed.
