Let's first start with using crayons. It's usually one of the first coloring material introduced to little children because it's perfect for kids to use since there's jumbo sized ones that they can easily handle without breaking it in half. It's also a great material for bigger kids and even grown_ups because it has a wide range of colors to choose from.
I think the biggest problem people have when drawing with crayons is that they regress to being five years old again. They hold the crayon like they're coloring again, instead of applying it like a fine art medium. Another problem is that many people want to make it perform like colored pencils. While similar in application, they are quite different. You should not use crayons and expect them to behave like colored pencils. You'll be setting yourself up for disappointment.