The Curious Incident of the Dog in the Night-Time

Christopher has three main goals that he writes about in his book. What are these three goals, and how does he achieve each?

In a crowd of people, Christopher sometimes curls up in a ball and groans. Why does he do this? What other techniques does he use to calm himself in a crush of strangers? How do these techniques help him?

Math, science, and Sherlock Holmes have similarities. Suggest a few of them and explain why they appeal to Christopher.