[Grammar] "On one hand" or "on the other hand"?

[NICOLE_XI]

Dear teachers, when reading a grammar textbook this morning, I was confused by an expression, and I do hope you can help me with it. I used to use the expression of “on one hand” in my writing and I’ve read the same expression in many reading materials before, but the textbook says we should always use “on the one hand… on the other hand” to introduce statements that describe two different or opposite ideas. So could you please tell me which expression is right, or supposing that they are both correct expressions, which is preferable to native speakers of English?
I would appreciate it if you can help me with it.

 

[Raymott]

This joke's wearing a bit thin.