Practicing your putting game may very well save you more than 4 strokes a round. It may just help you get over that hump and drop your score into the handicap range you have been wanting for years.
Here is a good way for you to start working on your putting. Take 10 golf balls and keep them close. Line up for the straightest 4 foot putt you can find try not to have any break in your line. Now concentrate on 2 things as you practice. Your take away and fallow through and your ability to keep the putting head square as you do this. If your line is truly strait with no break you will fully see the result of these 2 components. If your puts are straying to the right or left you may be pushing them, or cutting across the ball. Both of which will be fixed when you become consistent with these 2 components.
Now that you have your intentions in making your putting swing the pendulum it needs to be turn this into a game. Try to put 50 4 foot putts in a row without missing. If you miss you start over, you know the concept. This will help train you to dismiss aggravation, concentrate when the put become more crucial as it would when your count is up to 40 and you do not want to start over! It is a little time consuming but the better you get the less time consuming it will become, and you will have the base to build a great putting game that will last you a long time.