I am looking for a word/phrase that would mean something of the sort "knowing what others (e.g., students) know in a subject".
I am looking for a word similar to empathy, which is defined by Oxford Dictionary as "The ability to understand and share the feelings of another." The word/phrase in this regard will have a meaning "The ability to understand the knowledge of others."
I hope I clearly stated my problem.
@FumbleFingers asked what kind of "knowledge" I mean. Basically I am dealing with a middle/high school teachers' knowledge of his/her students' knowledge in a subject, e.g., physics.
More precisely, teachers' knowledge of what pre-instructional knowledge (or misconceptions or difficulties) his/her students have that might facilitate (or hinder in cases of misconceptions and difficulties) planned instruction.
@Graffito If I understand you correctly, I leaning more towards "to envisage things from other's perspective." My explanation above, I hope, clarifies what I am after.