New puppy: How to teach?

My puppy Phoebe is now 9 months old. I go to dogschool sometimes to learn how to teach my dog, but she teaches me a lot too.
These are the most important things I've learned so far:

- Check in:
When the dog looks you in the eye, reward her. Do this a lot and the dog will love you much more and will watch you much more. She needs to look at you before you give an command in order for her to do what you asked.

- Encouraging:
They say "As owner, as dog". If you believe in your dog, she will believe in herself.
"Lazy owner, lazy dog" -> The dog won't be active if you don't feel like being active yourself!

- Touching:
As owner it's very important your dog allows you to touch her anywhere. Her paws, legs, ears, mouth,.. It also makes the vets visits easier if she used to this since she has been a puppy.

- Teaching commands:
The most importing thing when a dog is learning something: rewards.

- When rewarding:
Right after the dog did something good (fraction of a second).

- Personal experience:
Say a word (e.g. "good dog") right before you give a reward. That way the dog will associate this word with the reward (candy or something) and it's not such a bad thing to be later than a fraction of a second when rewarding if you immediatly say "good dog".