Straight cut gears do not have synchros. Instead of using the clutch to disengage the transmission and then having synchros (think of a synchro as a small, simple clutch) to match the gear speeds together and "synchronize" the two, YOU (the driver) uses your right foot to match the revs for each gear and then bang the shifts out.
Helical:

Straight cut:
See the differences? In the first picture, the gears have a curve to match them together (the curve is the beginning of a helix hence the name), but in the second, all the gears have "straight cuts" right into each other. The reason for the helical cut in most cars is that it creates a very silent transmission (like tg said, go out and put your car in reverse. Hear that whine? Reverse on 99% of cars is straight cut). But, like tg said, they exert a lot of force on the transmission case, so in a high horsepower setting you could blow up your transmission with a helical cut gearbox. Straight cut gears don't have this problem, but while you gain in strength, you lose in noise level and shifting effort (you really gotta bang throw the gears).
See those little shapes? Those are what replace the synchros in your transmission. That's why you need to rev-match and bang the gears in. (sometimes, the shapes look like dogs, hence the nickname "dogbox")