This study was developed with Early Childhood Preservice Teachers within the framework of the Teaching and Learning of Social Sciences over three academic years (2017–2018, 2018–2019, and 2019–2020) at the University of Alcalá. The main objective was to improve the learning to learn competence during teacher training from an outdoor experience at the Museum of Guadalajara (Spain), using e/m-learning tools (Blackboard Learn, Google Forms, QR codes, and websites) and the inquiry-based learning approach. To ascertain the level of acquisition of this competence in those teachers who were being trained, their self-perception—before and after—of the outdoor experience was assessed through a system of categories adapted from the European Commission. The results show a certain improvement in this competence in Early Childhood Preservice Teachers. Additionally, this outdoor experience shows the insufficient educational adaptation of the museum to the early childhood education stage from a social sciences point of view. Finally, we highlight the importance of carrying out outdoor experiences from an inquiry-based education approach. These outdoor experiences should be carried out in places like museums to encourage contextualized and experiential learning of the youngest in formal education.