" I gathered that they had not been taught or expected to prove it, and I wondered why. Perhaps a previous teacher gave up in the face of groans and uproar? "
BR
"No. Two kids did the "but miss why do we have to learn this- when are we ever going to use it in life" line that I am sure we have all heard from our own kids. Did you miss the much larger group who went to talk to their maths teacher at lunchtime because they didn't understand something and were worried about being left behind? Or did that not fit with your prejudices?"
A group went to talk to the teacher at lunchtime, and this proves exactly what?
It doesn't reveal anything about why students felt they didn't need to prove the theorem, or why they felt their opinion about what they should be doing in maths should have any bearing on what was taught or what they were asked to do by the teacher. There is a lack of understanding of where teachers and students stand relative to each other, and a lack of understanding of where the students really are relative to the wider world here.
As to 'prejudices'. What I am going on here is experience and direct observation from the pov of a student. I went to a state school (in Ireland) where there were many issues wrt disruption in lower level classes. I was in class with many disruptive kids in the first year of secondary. My sisters had the same experience. The behaviour of the disruptive kids was mirrored in their behaviour out of school, in the evenings and at weekends.
BR
' I have it on good authority that only children in comprehensives ever say anything like that. While throwing chairs, dragging their knuckles and ruthlessly bullying any child with an IQ of over 100 who ended up there by mistake.'
It doesn't take a whole class of disruptive students to affect the learning environment. Two students who cannot be checked can screw it up for everyone. You seem determined to ignore the fact that in many schools, small minorities of students effectively dictate the terms on which classrooms are run, and this can extend to influencing the culture of the school as a whole. There are schools where going to the teacher to try to catch up would earn you ridicule.
My dad went to a highly regarded boarding school in Ireland in the 1930s where bullying was rife, there was fagging, some classrooms were uncontainable, unteachable, etc. The regime included cold baths every morning, and the punishments were pretty savage, and included caning. He drew from this experience that the leadership of the school dictated the general culture, and was a staunch opponent of corporal punishment and advocate of more sane approaches to education. However, he was shocked that a school that tried to be a lot more civilised would still have students who were determined to make school all about them and made it very difficult for teachers to fulfill their duties towards the rest of the class.
Twisting the Chinese teacher's comment about mucking about on the part of the class into 'The teacher says I'm dumb' isn't smart arseyness. It is an example of a student taking personally (and resenting as a blow to the ego) the teacher's comments about how the class functions. There is a lack of resilience there that people should be worried about. There is also a tendency to see school as being all about you and your feelings, which is fine for children of three but not for teenagers.