This book (written in Spanish) is the result of a research on the students' difficulties on learning Combinatorics and of our theoretical reflections about the teaching methodology and curricular development in Mathematics Education. It is intended to be a basic didactical instrument for teachers, students and researchers. The first chapter includes the description of the combinatorial problems, concepts and models, from a mathematical, historical and phenomenological perspective, establishing the connections of these aspects with the didactical units presented in chapter 3. Chapter 2 contains a summary of the research on teaching and learning Combinatorics that has been carried out in Psychology and Mathematics Education. Finally, in chapter 3 a detailed combinatorial curriculum for the different levels of primary and secondary education (10 - 18 year-olds pupils) is proposed. Each unit includes objectives, introductory problem situations, drill and practice and application problems with their solution, as will as methodological orientations for teachers.
The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education