The problem with “does this make sense?” is that one to whom a topic/explanation makes sense cannot necessarily reproduce the principle. You’re more likely to get an honest answer asking if it makes sense, but I think that’s probably because “making sense” requires a less rigorous facility than “understanding.”
Several of my graduate professors have a habit of pulling intuitive leaps into problems that make perfect “sense” when presented, but they aren’t the sort of thing that many, if any, of the students are going to be able to make on their own due to lack of such intimate familiarity with the material. It really shows on the problem sets.
I usually prefer to ask questions along the lines of “Does this make sense?” rather than “Do you understand?”.
The problem with “does this make sense?” is that one to whom a topic/explanation makes sense cannot necessarily reproduce the principle. You’re more likely to get an honest answer asking if it makes sense, but I think that’s probably because “making sense” requires a less rigorous facility than “understanding.”
Several of my graduate professors have a habit of pulling intuitive leaps into problems that make perfect “sense” when presented, but they aren’t the sort of thing that many, if any, of the students are going to be able to make on their own due to lack of such intimate familiarity with the material. It really shows on the problem sets.