I think we need say directly with our need, because they are busy... However right time, right requirement so important :) 

 Telling and sharing your real stories and situations with reliable and right headhunters can be helpful and effective for your job searches.

How to work with headhunters effectively can often make or break your job search.  1st, of all, you must realize that there are a lot of good HH's out there and there are a lot of not so good HH's out there.  You must trust the one you will use to represent your professional career aoopropriately and accurately to potential employers.  Of course you can choose to represent yourself, but this often takes time and scale, and you must be willing to answer so may questions.  Having the right partner by your side who is in complete tune with you and what you want to accomplish can be more effective activing on your behave, as an extension of your self.  Always be very unfront and honest with your HH's on what it is you want to accomplish and what it is you will and will not tolerate with your next employer.  It is best to be very clear about these items prior to the HH going out to the market to represent you.  Remember, the HH is your brand ambassador and you must feel that the HH will do just as good a dob representing you as you would yourselff.  A good HH should be able to bring you multiple opportunties at any given time and you must be confident that the HH has kept your interest and all confidential information in consideration.  Be straight with your HH and do not be afraid to provide direct and consistent feedback to your advisor on where you feel he/or she can be doing a better job.  Basially, you both are a team, trying to secure the best job opportunity out there while selling your skills, core competencies, and personality to your next potential employer. 

I knew that my education didn't attractive headhunter. But I am believe in my experience that it could help me do working in the best. But how could I make them believe in all I did in past to consider how I am suitable in my future serching job?