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In recent years, the methodologies of teaching have been in a process of transition. Multiple active methodologies have proliferated, with the aim of changing the concept we have had of teaching so far. These advocate for a student who plays a leading role in the process of building learning, while the teacher acts as a figure who facilitates and glimpses the paths to learning. In order to be able to carry out this type of teaching in an optimal way, it is necessary for the teaching and research community to be correctly trained in its pedagogical principles and in the tools that boost its implementation. Among these principles and tools, it is of vital importance that information and communication technologies (ICT) be adequately handled. The use of active methodologies (project-based learning, problem-based learning, service learning, flipped classroom, mobile learning, etc.) or innovative pedagogical approaches (simulation, role-playing, gamification, etc.) promotes an improvement in the motivation of students as well as their skills. This aspect is especially important in the area of mathematics, whose contents are characterized by their abstraction, thus highlighting the need for its dynamization in classrooms of different educational stages.

emerging methodology --- educational innovation --- e-learning --- educational experimentation --- adults --- students --- b-learning --- ICT --- vocational training --- constructivism --- mathematics learning --- MOOC --- new teaching techniques --- students’ access to MOOC --- learning --- reading comprehension --- complexity --- problem-solving --- arithmetic word problems --- fraction operator --- technological environment --- active methodology --- escape room --- gamification --- methodological contrast --- mathematics --- secondary education --- musical activities --- learning-teaching --- preschool --- mathematical modeling --- modeling projects --- elementary school --- learning opportunities --- computational thinking --- STEAM education --- leisure-time education --- mathematical education --- good practices in mathematics education --- mathematics achievement --- influencing factors --- university --- social sciences --- structural equation modelling (SEM) --- Flipped Classroom --- flipped learning --- higher education --- educational robotics --- active learning --- case studies --- videogame --- early childhood education --- education --- learning environments --- educational games --- engineering students --- augmented reality --- spatial intelligence --- STEM --- Geogebra AR --- teaching differential equations --- teaching mathematics --- solving problem --- formative assessment --- teacher education --- teachers’ knowledge --- game-based learning --- affective domain --- mathematics education --- systematic review --- EXPLORIA --- STEAM --- active methodologies --- university level --- afective domain --- mathematical teaching methodologies --- educative innovation --- learning through video games --- real-valued functions