Where can one find (freely, online) mathematical articles with a fighting chance to be understood by high school students and undergraduates?

I am an undergraduate non-math major. I just finished my university's engineering calculus series, looking forward to linear algebra in the coming semester. To be frank, I always despised math because I couldn't help but find it tedious. I have recently had a change in heart, however, due to advice and encouragement from my favorite professor and some experience with proving logic statements (which I mysteriously find ridiculously fun...). Starting to read math review journals sounds like a great way to begin as an amateur mathematician.

So where can one find (free, online) mathematical articles with a fighting chance to be understood by high school students and undergraduates?

(The "free, online" part of the question is nonmandatory. I have access to academic journals through my university.)

Solution 1:

http://plus.maths.org/ describes itself as "an internet magazine which aims to introduce readers to the beauty and the practical applications of mathematics." It's very well written. The level of the maths varies, but I think you'll find some content that's at the right level for you.

And to echo @Alon Amit's comment - Martin Gardner was a very lucid and entertaining maths writer, and several of his books and magazine columns are knocking around on the web in one form or another.

Solution 2:

I highly recommend material available on the Mathematics Association of America web site. Under Publications, Electronic Resources, they have freely available a full archive of the many articles in MAA publications that have won awards. The material is often demanding. But there are many articles, on many interesting topics, and some or all of each article is accessible to an undergraduate.