If you go to your user profile you can see what badge you're closest to earning.
When I click on the badge displayed, it tells me the criteria to earn the badge, and my own progress is already displayed on the right. This is helpful information, but can you also add a link to the newest questions in that tag? Maybe in the pop-up message the tag name could be a link? For example:
Bronze coding-style tag badge
Since I'm so close to earning a badge, the natural thing for me to want to do is go answer a few questions. Clicking a link to the newest questions in that tag would be a little bit more convenient than going to tag search and typing in the tag name.