Imagine a person teaching an online course. Imagine further that the students in this course are tremendously thoughtful and responding with impressive depth and seriousness to the set of tasks in the course.
Imagine further that the instructor in this course had some thoughts to share with the students that included insights he/she has gained from the interactions, and that these insights include both mathematical insights and pedagogical ones (having to do with the pedagogy of the course itself).
What would be the best format for this person to share these insights? Hypothetically speaking?
It occurs to me that in such a situation, some constraints might include wanting to honor and welcome discussion of these insights (including critique), while not wanting to be overbearing. And that they might include wanting to highlight these thoughts without obstructing the narrative flow of the pre-established tasks.