Are the two kinds of understanding distinct?
Most of us in this group think that these two are distinct and relative. Like for calculus is instrumental understanding then for statistics is relational understanding.
Is there a “best” order to teach them?
We don't think these two are in a very clear order, and the very first learning probably all starts with instrumental understanding, which transitions to relevance understanding, which gets to a point of continuity. Just like mapping, at the beginning, we only know one route (instrumental understanding), but over time, after familiarizing with the route, we will explore other possible routes (relational understanding.)
What kinds of activities promote each one?
We don’t have enough time to discuss this one, I am also wondering what kinds of activities could help.
How to assess understanding?
In my opinion, if just talking about math, I guess word problems might be a good way to assess understanding. Since you could use instrumental understanding to get each algebra problem correct, but if you don’t know how to combine all concepts you learned then you might not be able to solve a long word problem which combines a lot of knowledge in it.
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