I went to a Montessori daycare and school for the first 15-something years of my life. I have noticed I have some gaps. In particular, I don't know small multi

I went to a Montessori daycare and school for the first 15-something years of my life. I have noticed I have some gaps. In particular, I don't know small multiplications by rote as well as some others. But that's the major problem I've found. On the other hand, I did huge 20-digit multiplications well ahead of others because I liked it. I learned a second language (English) when I was very young because me and a friend was interested in it. I performed violently exothermic chemistry experiments (in controlled ways, of course) after regular class hours because the teacher saw our interest in things that go boom. I made HTML-based role-playing adventures to learn the stuff in history class. I learned how the difference between science and fucking around is writing it down, performing endless series of flight tests of paper plane models and presenting the result. Many of these things were highly useful to me later in education and life, and were not part of any standard curriculum. I did them because the teachers saw me and exploited an opportunity to make us both content.