This reminds me of an article by Dr. Rheta Rubenstein titled, "The Learning of Mathematics: Perspectives of Different Researchers." (It comes from our text, Teaching and Learning Middle Grades Mathematics.) Under the section on Vygotsky, she includes the following diagram attributed to Dr. Lauren Resnick.
|Vygotsky in Venn Diagram Form|
As Terry Jones's character discovers, when teachers use scripted lessons that do not take learners' current level of understanding into account very little learning occurs.