I'm going to be different from everyone else and say turnover makes you a faster swimmer. It goes against what a lot of people say, but you're not pulling water when you are gliding, the only way to pull water more often is to increase turnover. It's not easy to do and it helps a lot if you have a good stroke, but the difference between almost front of the pack and front of the pack swimmers is sustaining a high turnover. Forget about counting strokes and keeping it low. Use a band to hold your feet together (you can use a buoy at first) swim 25s. The only way to stay afloat and move forward is to move your arms faster. Swimming with a band really works that.

ETA: You should still reach, but as soon as you get as far as your hand can get...pull. So increasing turnover will really only help if you have decent form.

The faster turn over is something I still struggle with, I was to taught glide as well. But when I think of immediately pulling after I reach I get it and do go faster. And just like running it takes some time to get used to doing. I've had the best luck when I do it at the end of shorter sets and build backwards from there. I focus on it in the warmup, then swim w/o thinking then the last 500 of the workout I think about it and slowly add more yards.