I've never had a discussion about education with a working scientist who was not painfully aware of the lack of the teaching of *how* science is done at most schools, and in many college-level courses. The fact is, that to do this well would require extensive retraining of teachers; I also don't think it is compatible with the current goal of basic education in most countries, which is to raise standardised test scores.
"What is apparent from the surveys is that a better explanation of the nature of science—that it is revised as new data surface—would have a strong positive effect on public trust. Because scientists are so aware of this feature, it is often taken for granted that the public understands this too."
https://www.science.org/doi/10.1126/science.adp7153?utm_source=sfmc&utm_medium=email&utm_content=alert&utm_campaign=SCIeToc&et_rid=33954923&et_cid=5173502