Hyde says that the problem is that, although scientific facts are taught at school, the facts “about” science are not taught well enough.

Bingo. They do a poor job teaching people:

• That failures are not only expected, but welcome; they’ll guide future successes.
• That conflicts of interest do happen, and peer reviewing is a way to address them.
• That the current leading theory on something is simply the current best explanation, not some immutable truth.
• That science doesn’t say “trust me”; it shows you the data, and asks you to find a better way to explain it.

We (people all around the world, I think?) also do a poor job at teaching ourselves basic rationality:

• That you should get suspicious of any institution or group that only shows the good parts - they’re likely hiding shit.
• Why “trust me” is an insult towards the hearer’s intelligence.
• Why people shouldn’t vomit certainty on things they cannot reliably know.