work on
To spend time and effort improving or completing something.
To work on something means to spend time and effort trying to improve it, fix it, or make progress with it. When your teacher says you need to work on your handwriting, she means you should practice and focus on making it better. When a mechanic works on a car, he's repairing or adjusting it to make it run properly.
The phrase suggests ongoing effort rather than a quick fix. You might work on a difficult math problem for twenty minutes, turning it over in your mind and trying different approaches. A basketball player works on her free throws by practicing them hundreds of times. An author might work on a novel for years, revising and polishing it until the story feels just right.
Working on something can also mean you're trying to improve a personal quality or habit. If you tend to interrupt people, you might work on being a better listener. If you get frustrated easily, you might work on staying calm when things don't go your way. This kind of self-improvement takes patience and persistence because changing yourself can be harder than fixing an object.
The phrase captures something important about achievement: most worthwhile things require sustained attention and effort over time, through repeated practice and steady commitment.