I know what you're feeling and thinking. Been there, done that. You feel like you are smarter about relationships and can be a better partner, friend, and husband. Unfortunately I really feel that telling her will acheive nothing except make her realize that you are still holding on to hope that you can be a couple again. Actions speak louder than words. Use the opportunity to show her you can listen and validate. Just my .02

In the end, it's not the years in your life that count. It's the life in your years.
Abraham Lincoln

It is hard to fail, but it is worse never to have tried to succeed.
Theodore Roosevelt