We have recently published an article in UNO: A Mathematics teaching and learning magazine, where we explain and promote the foundations of our teaching approach. In addition, we presented our ideas and activities at the most important mathematics education congresses as well, both nationally (C2EM, JAEM) and internationally (ICME, EECERA, NCTM). This allows us to put everything we do to the test in front of the world’s leading experts and also create networks to keep up to date with relevant advances in the field. If we look at the curricular aspect, we follow the same trend as the official documents from countries such as Canada, the USA, the United Kingdom, Australia, Denmark, and the Netherlands. In all these countries, studies have been carried out and it has been shown that learning in a competency-based way generates more solid, connected, critical, and lasting knowledge. But as in all sciences, discovery never ends! We can always provide new evidence that reinforces this trend or helps us refine it. That is why we have built the Pyramid Group “Grupo Pirámide”, a group of researchers linked to two universities, “Universidad Autónoma de Barcelona (UAB)” and “Universidad Rovira i Virgili de Tarragona”. The objective of this group of researchers is to propose and perform studies by collaborating with schools. Specifically, three doctorate theses (in process) have emerged from this, as well as the Escuela Vertex (Vertex School) project, a network of different centers committed to research. Connecting academic research with the classroom is the only way we will contribute to developing this science and, above all, to improving the resources and conditions with which students learn mathematics.