You want to let a 10 year old decide for themselves whether or not they'll want to do any branch of science/Engineering that relies on mathematics at university

You want to let a 10 year old decide for themselves whether or not they'll want to do any branch of science/Engineering that relies on mathematics at university level? This is not about forcing an interest, this is about shaping opportunity. The ideal of school is to have provided a well rounded education such that the individual at 16 or 18 can start to make informed decisions about their life. I get that calculus isn't very useful for the largest proportion of society. I can't remember the last time knowing how to derive the volume of a sphere was useful to me. The concepts, the mode of thought, is useful. History? Should have been teaching you about sources. Bias. Propaganda. Analysis. Argument. Things you need to learn to be able to generate a position on something in life. I can assure you that my knowledge of medical history through the ages has yet to be useful - but that doesn't mean that what I learned in that class hasn't been? Maybe I'm wrong, and the rest of the world isn't like me. Maybe the rest of the world are motivated self starters with insatiable curiosity and infinite capacity for broad self directed learning. Me? I'd have picked the couple of things I enjoyed, learned sod all else, and once I realised there were no consequences to slacking off? I'd have done that, heck I did do that. In other words. Parents make children eat vegetables because we know what is good for them, better than they do at least. Abdicating responsibility for that by passing it off to the child just seems mad