I found it interesting while reading about ancient Greek gyms that they also study school subjects there. http://en.wikipedia.org/wiki/Gymnasium_(ancient_Greece)
This shows they can go hand in hand. I'm gonna talk about some tips for starting up a work out or adding different exercises to your current work out. While exercising be conscious of your form and the amount of effort these exercises take. If you notice discomfort try to understand why. Try changing up your routine to gain flexibility, balance and allow injuries to heal completely.
Now that's what I'd call intelligent working out. I've been throwing around some terms so let's start with some basics as I understand them. Strength: This would be how much you can lift max in 1 rep. Endurance: Can be measured as how many reps of how much you can lift over an extended period of time. Recovery Time: How long it takes to recover between sets.
There are many ways to increase the weight and reps while decreasing the amount of time it takes to do them. I suggest starting with a focus on cardiovascular workouts to get your body up to par and contemplate why you are working out and what your short term and long term goals are. This will build a solid foundation for you to pump iron from! Now you must get excited about your goals. Go and make them happen.
Starting with push-ups can be a great way to increase your metabolism and gain strength Incline (arms raised), decline (feet raised), wide spread and triangle (hands together). Best of luck and good health too you.