On your resume is it wrong to adjust your title to fit the role that you want?

I am not changing anything else. The Accomplishments, duties and responsibilities that I put write down are all mine. But I think I am getting over looked for the job roles that I want because even though I am already performing the tasks for the roles I want my current job title doesn’t reflect what I am actually doing.

For example I would like to move into management. I currently am and have been performing the tasks of that role… but my title isn’t manager.

If it’s not right, how do you get your self noticed so that you can climb up?