I like this. For a while I’ve had the feeling that more “advanced mathematics” should be introduced at lower grade levels. I can also remember many of my teache

I like this. For a while I’ve had the feeling that more “advanced mathematics” should be introduced at lower grade levels. I can also remember many of my teachers to be admittedly and somewhat proudly “bad at math.” I also think that there should be softer mathematics courses taught. For example, something like “the history of mathematics” or “the mathematics of space” or something like that where the course content is more exploratory, assignments look more like essays or poster boards, etc. I wonder if showing students calculus (in a light-hearted way) before they fully grok algebra or geometry might have an accelerating effect? I don’t know if this is a great analogy, but many find it easier/quicker to learn a framework/tool, not for the sake of learning, but because it’s standing between them and a goal.