While you are waiting for a teacher to respond, could i point out:
1. A native speaker would not use the expression, 'by the way' in this situation. We would say, 'while we're at it' .
2. You are not aware of it I'm sure, but "So, teachers, I would like you to tell me what 'by the way' means.
seems to be something you have heard your teacher say, as in,
So, class, I want you to tell me how many words you can think of that... - it makes you sound like a teacher asking a question!
Better just to say, Could a teacher please explain what "by the way"....
May I ask a teacher what....