Hi EnErY....if I might be so bold as to ad to this thread! I've just started turning after a period of over 20 years away from the lathe and was getting exactly the same problem as you. I use the system that ravenge just mentioned, i.e. sheer scraping. What I find essential in using this technique is this.....
Assuming you're turning inboard (over the bed-bars of the lathe) set your toolrest as far over to the left as you can and swing the handle of the scraper over to the left such that you are cutting with the left hand edge of the scraper's curved end. There's a very good reason for this! In sheer-scraping, you have to tip the scraper onto it's left edge, so that it meets the timber at an angle, rather than squarely, therefore, if you're using the tip of the scraper it could well slam down onto the rest if it digs in at all. Think about it! when the scraper is tilted onto its left edge, only the left-hand side of the scraper is supported on the toolrest.
Hold your scraper flat on the toolrest without the lathe running, such that it is square to the timber, then tilt it by about 20degrees anti-clockwise and you'll notice that the tip is no longer supported, swing the end of the handle out until the left-hand edge of the curve is scraping and now the scraper is supported behind its cut......it's far less likely to dig in!
Les