This study presents the advances in the design of the architecture called HumanRobot Scaffolding. The Architecture allows an anthropomorphic social robot to intervene assertively during the learning of the Mean-Fines analysis strategy. Its design recognizes three aspects. Firstly, the scaffolding educational strategy. Second, the psychological theory of Flow. Third, the paradigm BDI agents for the execution of the robot's goals. The partial validation of the architecture has been done with 20 children between 10 and 13 years old from two schools in Colombia. According to the results, the modules and the goals proposed in the architecture promote in an assertive way the learning of the Mean-Fines analysis strategy.