When I was 15 my physics teacher tried to explain Einstein's special theory of relativity to our class...
I'm okay with a high school physics teacher not being able to clearly explain the Theory of Relativity. It's not typically taught in (American) sophomore-level science, and it might have been a long time since his college-level physics class that mentioned it that one time. I'm not okay with the teacher doing that 'I guess I get this bit, I'll fill in the rest'. If he wasn't sure, he ought to have said so from the beginning.
At the same time, anybody is allowed to have a bad day. Perhaps he had a fundamental misunderstanding, or perhaps he misspoke. Students presume that teachers are somehow inhuman beings incapable of having a brain fog moment or having a fight with their significant other the evening before. Can I describe the shock when students saw me out of the classroom? They seemed to think I was locked up with the chemicals all night, and the custodians released me to roam the halls every morning...
They do not think of teachers outside of purely teacherly context, as being humans capable of error.
@anciendaze -- my favorite of these is a camera crew going around to college students at very prestigious colleges and asking where most of the mass of a tree comes from. The answer is 'the air'. The carbon dioxide in the air later makes up much of the mass of the cellulose, sugars, carbs, etc of which plants are composed. But invariably, most said "the soil" and some said "water", and some said "both". Because air is like, too light and stuff.
These were graduating seniors by the way, some of whom had earned degrees in the sciences from places like Princeton, Yale.... The point was that these students, while 'well-educated', still had trouble with assumptions and did not think logically. Everything they needed to know to answer that question was taught in their middle-school science classes, and multiple times since then.
I wish we would work to help form a more educated public, but I worry that we mystify science too much, casting it in this light as though a normal human would have no hope of ever understanding it. And, at least here in the States, there's a definite anti-intellectual vibe, though I notice less and less of that of late.
-J