| Primary categories | Intermediate category | Representative category |
| 1. Sequence methodology | Sequential procedures | Technicist |
| 2. Recognition precedes method choice | ||
| 3. Sequence of knowledge | ||
| 4. Method as a sequence of steps | ||
| 5. Methodology through problem situations | Operationalization of the fraction concept | |
| 6. Troubleshooting | ||
| 7. List of exercises | ||
| 8. Practical activity | ||
| 9. Previous knowledge as a determining factor of the method | Pedagogical bureaucracy | |
| 10. Intervention and continuous mediation | ||
| 11. Student behavior | ||
| 12. Content exposure | ||
| 13. Pedagogical concept | ||
| 14. Methodology with concrete materials | Didactic resource understood as a method | Undifferentiated method |
| 15. Everyday materials | ||
| 16. Understanding the concept of fraction | Understanding the method as the concept to be taught | |
| 17. Understanding through concept registration | ||
| 18. Fraction meaning rational number | ||
| 19. Fraction with measurement meaning | ||
| 20. Fraction with meaning of quotient | ||
| 21. Play as a method | Non-technical aspect | Non-technicist |
| 22. Everyday situations | ||
| 23. Method as storytelling |