Children can read the skill books that weren't originally available to them and gain skill points just like the teens, adults and elders do:

Gardening
Cooking
Charisma
Handiness

I am not sure if children can already read the recipes, but I assumed they can even if they can't read the skill books but gain skill points through the toy oven.

NOTE:

This mod may or may not conflict with other mods editing the skill books. Make sure to use Indie's Compability Checker to check for any conflict.