If anyone tells you not to put an objective statement in your résumé, they are completely out of touch with how to get someone's attention in the 21st century.
Now, if your résumé objective statement reads "An interesting position with a growing company," you're stuck in the '50s, and few will pay attention to you. However, if your résumé objective reads something such as "Computer Technician able to provide technical assistance to computer users in person, by telephone or electronically. Skilled in the use of computer hardware and software, including printing, installation, word processing, electronic mail, and operating systems. Seeking a position with a medium sized company in Greater Boston," you're going to grab the attention of anyone seeking a qualified Computer Technician.
The key is to know what you want to do, and to state it explicitly. If you don't know what you want to do, writing a résumé is a distant task. Clarity in how you will provide value to an employer is essential in getting noticed. Write a clearly defined job objective and tailor the rest of your résumé to proving you're capable of carrying out your objective. Your résumé WILL be noticed!