My DS8 who took the WISC at 7.5 had a 10 (coding) and 13 in PSI. He has always had lots of movement which we always attributed to 1) being an energetic boy; and 2) phsycomotor overexcitability. I still think that is a good part of it but he now has an ADHD diagnosis (after further testing - some of the same tests mentioned by polar bear). He also struggles with written output but is still at or above grade level in writing.
I would also just say that I think the teacher is way out of line. Please do not let her focus on your sons weaknesses to the determinent of his strengths. He is very bright and she bears some responsibility for fostering his intellectual curiosity. The reason he does not want to do those sheets is because they are boring - being bored once in a while is expected but day in and day out of that type of work will eventually make him hate school. I would continue to advocate for acceleration or differentiation with her and whoever else can help you. Give some thought to what you want from them and go in and ask for it. Also, if you have achievement testing or could put together a portfolio, apply to DYS.
You also might want to consider reading the Misdiagnosis / Dual Diagnosis of Gifted Children and Smart But Scattered. Good luck.