How to help her fall in love with me?

[Mark]

There is this one girl. She is very shy (I have never seen her talk to anyone before, I am shy as well), she talks to herself sometimes which is really cute. She is in 3 of my 4 classes, each class being 84 minutes long. I am in 10th grade.

She sits two tables ahead of me in Science. She sits in the centre of the room for computers, whilst I sit on the left side. She sits at the same table as myself for art class. She is directly across from me in art, we are close enough to touch.

I'm very shy and a bit awkward sometimes. She made a very amazing painting today and I was going to compliment her, but I have my friends on both sides of me, I was worried they would think I was being weird.

I haven't actually talked to her before (Fail on my part, I'm scared people will judge me or she'll end up hating me), though I almost did today at the end of computers, as the teacher usually tells us to log off and everything and people get up and converse for the last couple minutes.

I want to get to know her. I want to be her friend and eventually her boyfriend. We are both shy, however I've never seen her hang out or talk to anybody. I have 2 or 3 friends in total.

Is there any way I could get the courage to talk to her? How to win her over once I do?

Thanks;
Mark.
Note: She doesn't have a facebook, I've checked XD And as it's the weekend, I have no way of contact with her as of yet.

[JJWJ]

from a former mathematics teacher (male) who did not consider marriage before age twenty-four ...

First, Mark, before addressing your question, I want to make sure that you understand what your primary goal should be for the next five to ten years -- namely, develop yourself to become an adult living in today's society.
-- Spend time in becoming educated and in educating yourself.
-- Determine your goal in life regarding future employment
-- Continue to learn more of who you are

As to your question:
1) Admire that girl for staying off of facebook and avoiding a catastrophe which often happens to those on facebook.
2) Admire that girl for not hanging out with any boys.
3) A person who is shy (introvert) has many talents that one who is extrovert lacks. And vice versa. I had absolutely no problem with being introvert at your age and throughout life.
4) Are some people going to judge you, Mark, at times? Yes, some people are like that. Everyone is judged at times. You need to drop that fear and just be who you are.
5) Winning over girls is very improper and often leads to a hazardous adult life. ("But, I thought it would be wonderful. Now I have really lost.") Note: Steer clear of girls who want to be won over. They hope a man will rescue them.

When the time comes for you to find a young lady to become your future bride, you will feel it.