Hi Christopher,
I have been researching the assessment of the different multiple intelligences as identified by Howard Gardner. I and my research associates have develop the "Talent Key" assessment for identifying the three highest processing formats within the seven intelligences. This information gives up insight on how people process and internalize new information. The example you site is dead on in terms of people being able to respond verbally with the correct answers and have a difficult or impossible time with writing responses to test questions. Those individuals are verbal/linguistic and see things in word form. The musical and spatial individuals see and hear things and then translate them into order and form. By knowing the three primary intelligences of your students you would be able to help them with their processing of new information. This is why the students are receptive to tutoring, they want to succeed as you well know. I think you have a great idea in terms of helping your students. If I can be of any help to you in your efforts please let me know.
Gary