This research project analyzed primary school teachers from 7th grade (second-cycle) enrolled in training through a Model of Professional Competences in Mathematics. The aim of the project was to develop and implement a teaching methodology that relates mathematics and pedagogical knowledge and teaching practice, with a view to updating mathematics teachers' content and pedagogical knowledge that fosters learning through problem-solving. The research used a quantitative, as well as a qualitative methodology. The research population were 47 teachers from 36 urban schools run by municipalities at Región de Los Lagos, in Chile. Results show that teachers improve when faced with didactic-mathematical tasks, reaching substantial improvements in their teaching performance and showing evidence of general and specific competences.