I hate to be cynical about this, but my BOCES guy has it about right: "the law" says (by implication, obfuscation, and contradiction) that the board can do whatever it wants -- until the Commissioner (or surrogate) says that you can't -- and even that's disputable. So, in this situation, where a board member is denied information, you have 2 choices: the FOIL route or the public embarrassment route (you make a motion, at an official BOE meeting, that the Super give you copies of the docs).
Keep in mind too, that the lawyer's maxim applies: if you have the facts, argue the facts; if you have the law, argue the law.
administration spends $50K without board vote
"it's just about statistically impossible that a bid would come in at exactly $50K"
fields exchange at BOE meeting
school boards behaving badly
board member FOILs district docs