on the front burner meaning

• [American slang]
  Fig. receiving particular attention or consideration. (Compare this with on the back burner. Typically: be ~; put something ~.)
    So, what's on the front burner for us this week?
    Move this project to the front burner so it will get some attention.

• front burner:    Noun: front burner ...
• put sth on the front burner:    [American slang]Go ...
• burner:    Noun: burner  ...

Examples

1. since you're a student, you should put your study on the front burner
2. This is going to stay on the front burner for us,
3. "Europe hadn't been on the front burner.
4. Will they put development and conservation both on the front burner?
5. The deal that remains on the front burner is with Oakland.