How to move ahead in Project/Product Management after 3 yrs of Programming Experience? [closed]

Question

For being a better programmer there are ways to get started like:

1. Get some open source project and start contributing to it.
2. Solve some Project Euler or Yodacode Excercise.

But if someone wants to move in the direction of Project/Product Management then in what direction he/she should move and what available options are out there to get started in that direction.

Background:

I mid level Programmer with 3 yrs of Programming Experience and I want to get started in Project Management/Product Management Role but my resume shows programming experience and so my question is how to break into Project/Product Management line with 3 yrs of Programming Experience.

Do we have similar options available for Project/Product Management as we have for Programming like one's mentioned above ?

I know it's chicken and egg situation but what is the best way to get out of it ?