| Intermediate category | Principal content | Representative category |
| Sequential procedures | Shows the method as a succession of procedures applied to achieve the expected objective of the class | Technicist |
| Operationalization of the fraction concept | Highlights the mathematical operations using the fraction as a technical method for the development of the process | |
| Pedagogical bureaucracy | Highlights the pedagogical steps necessary for the development of the process | |
| Didactic resource understood as a method | Highlights the non-differentiation, on the part of the teacher, of what is a method and what is a didactic resource for the teaching of the concept | Undifferentiated method |
| Understanding the method as the concept to be taught | Highlights the non-differentiability, on the part of the teacher, of what is a method and what is a concept | |
| Non-technical aspect | Highlights games and playfulness as a teaching method | Non-technicist |