| Summary: | Mathematics is present in all areas and tasks of people’s daily lives, hence the importance of the teaching-learning of this science within the framework of the integral formation of individuals as persons and social beings, an area in which the formation of knowledge in this field during the basic education stage is fundamental, since it constitutes the basis that will support learning during formal education and, by extension, throughout life. This work is the result of the research experience of the authors and directors of graduate work in the aforementioned area, with the purpose of generating a permanent reflection and concern for the improvement and development of both the theoretical foundation and the educational practice, of our training as researchers and also of our professional development as teachers. The book has considered the experiences of the students of the Master’s Degree in Didactics of Mathematics, who work as teachers in Primary, Secondary and Secondary Education in Colombia, considering the theoretical and epistemological foundations and the results of the researches throughout four chapters in which the problems identified by the students in their different educational contexts are described. Within these topics, chapter 1 highlights aspects such as the development of logical-mathematical thinking for problem solving through playful-pedagogical strategies. Similarly, in chapter 2, aspects such as monopoly as a didactic strategy for strengthening numerical thinking are discussed. In the same sense, chapter 3 highlights the importance of a didactic sequence proposal to strengthen variational thinking in the study of polynomial functions. Finally, chapter 4 presents the design of lamps as a didactic resource for the development of geometric thinking in seventh grade.
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