Why does my olive oil smoke/burn when I fry with it?
You're heating the oil past its smoke point.

There is no trick or technique that will prevent oil from smoking and oxidizing ("burning") at temperatures above the smoke point. It is literally being slowly destroyed at that temperature.

I honestly don't know why TV chefs are so attached to the idea of cooking with olive oil when most serious attempts to compare it to other oils (for frying purposes) strongly indicate that it loses all or almost all of its unique taste by the end. Some cite dubious health benefits, but the low smoke point of virgin/extra virgin olive oil may also make it worse for you health-wise due to exactly what you've witnessed - smoke and oxidation.

EVOO is great as a dressing but it's a terrible choice as a cooking oil. If you absolutely must imitate these confused TV chefs, you can either fry at very low temperatures (as in, just barely a sizzle), which will take considerably more time, or used a refined (not virgin) olive oil which has a much higher smoke point. These would typically be the "cheap" olive oils you find in large plastic or metal containers.