| 1 | learning the concept of connected sets |
| 2 | learning the concept of connected spaces |
| 3 | learning the concept of connected subspaces |
| 4 | learning the concept of connectedness of the real axis |
| 5 | Learning the concept of components of a space |
| 6 | Learning the concept of completely disconnected spaces |
| 7 | Learning the concept of locally connected spaces |
| 8 | Learning the concept of path-connected spaces |
| 9 | Learning the concept of polygon-connectedness |
| 10 | Learning the sustainability of connected definitions and concepts |