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Thecognitive aspect of mathematical modeling competencehas been of interest in the mathematics education community. From the cognitive point of view, the individual's behavior and problem-solving abilities have a strong connection with the inner cognitive activities. We will present BorromeoFerri’s diagram of cognitive mathematical modeling, including the transformation from an implicit model to an explicit model. We then describe one group of 10th graders work on building a bridge crossing Huong River project to simulate students' mathematical modeling process to illustrate how the model is used. | Mathematical modelling from the cognitive point of view the transition from implicit model to explicit model