The Dragon Knight tutorial is nice... but it doesn't teach you to really play DoTA.

There are a lot of features in DoTA that doesn't appear in more simple moba games such as League of Legends. One is the secret shops, next would be the courier. Honestly, I find myself having a hard time using the courier system here so a tutorial on these would be nice.

So if I may suggest, after having the basic controls, creeps, and shop tutorial on Dragon Knight, give the new player a chance to learn the unique features of DoTA 2.

1. Secret Shops
2. Couriers
3. Jungling (different buffs on different jungle units)

After that, let the new player play until they destroy the ancient of the opponent.