| 1 | learning the concept of normed spaces |
| 2 | learning the concepts of normed spaces and metric spaces |
| 3 | learning the concepts of metric spaces and metric topologies |
| 4 | learning to use knowledge and skills |
| 5 | learning the concepts of uniform continuity and metric topology |
| 6 | learning properties that exist in metric spaces but not in topological spaces |
| 7 | Understanding and learning the concept of completeness of the real number axis |
| 8 | Learning the concepts of complete metric spaces |
| 9 | Learning the concepts of Baire spaces and bounded spaces |
| 10 | Learning the ability to create examples and applications |
| 11 | Learning the sustainability of definitions and concepts in metric spaces |