A Concrete Introduction to Probability (2018)
I got reasonably far in stats -- up to a single grad level course.<p>My biggest problem with the teaching of math (and I can weigh in on this a bit because I spent over a decade as a private tutor of math) is that math is often not introduced in a concrete manner, as well as in a way such that its utility is obvious.  These are two sides of the same coin.<p>You can see this problem in <i>most</i> Wikipedia math pages.  I took more math than most physics majors and I find quite a lot of what I stumble across either baffling or of unknown utility.  Set theory is a great instance of this.  I rarely see multiple examples listed as it is explained, nor does anyone bother to tell me what it is <i>for</i>, other than to do more set theory.<p>Stats at least has the benefit of having to stick closer to applicability, I think.