A Constructivist Intervention Program for the Improvement of Mathematical Performance Based on Empiric Developmental Results (PEIM).

For this reason, it would be advisable for teachers to start working with students’ prior knowledge, the same way as Luis Vives had kindly defended in the sixteenth century, and a century later, Jean Jacques Rousseau put forward in the prolog of his hallmark educational treaty, Emilio : “Start by studying to your students, because surely you don’t know them.” The effectiveness of these classical authors and their teaching is highly significant when present-day teachers know extensively about the specific development of each and every fundamental school mathematics content.

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