geometry seems to be the natural way to emphasize the unity of the fundamental ideas.

I can verify visualizations are very helpful, not sure if that’s the same as all of geometry, but I think that’s where we’ll end up at the end of this.

there are not really that many formulas; there are however many variations on a common theme

This is true from what I’ve seen of statistics. I’ve been surprised how many of those first formulas you keep returning to.

understand that the variations are only variations

The fact that a formula or idea is a variation of another is not always clear.

The ability to transfer common ideas from one context (language) to another is evidently not naturally present in most students.

Wow. And perhaps teachers could do more in this way.

I would not be surprised to learn that many. if not most, teachers and students find it easier to teach and learn the separate ideas. blissful in their ignorance of the common thread.

For some students I can say I have seen this is true. When you dig deep into something, it becomes more simple and easier to hold in your head. For example, how much Chemistry do I still retain?

Whenever something has the properties of a vector, we can interpret it geometrically, however we may have thought of it at first.

With plenty of math, linear algebra, graph theory, in my background, I’m enjoying this melding of ideas, a true synthesis.

There’s lots here about vectors and linear algebra. Now tie it in with stats.

Oh wow!

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