Differentiate among

I am not sure I would use "differentiate," but if I did, I would word it differently.

Differentiate means to recognize and give expression to differences.
So you could say
Students will be able to differentiate different types of sounds. (no "among")
Of course, saying "differentiate" and "different" is awkward.

Perhaps
Students will be able to differentiate variou

New Hope types of sounds

Is that what you mean, or do you mean just 'different sounds'?

But I am still confused. We can differentiate one thing from another, or we can differentiate between one thing and another. So, I am confused about how we can differentiate many things at the same time.

Types

One definition: To differentiate is to give the distinguishing characteristics of. So you can clearly give the characteristics of more than one item.

How would you differentiate a cat, a dog, and a monkey?

In this case, you would use neither "among" nor "between."

Thanks for explaining. But this definition is not given in Oxford Advanced Learner's Dictionary. Can give me some other source?

As a British English speaker I would always say differentiate between in this context . "A blind man can differentiate between faces by touch alone" . Differentiate from in this sort of case "We need to differentiate ourselves from our competitors", and the rarer "differentiate the following equations...(mathematics). American English tends to be more efficient in dropping unnecessary words fro

So I would say "How would you differentiate a cat from a dog from a monkey", or "How would you differentiate between a cat, dog and monkey", but Dr D 's version is neater and not 'wrong'.

Thanks for explaining. But this definition is not given in Oxford Advanced Learner's Dictionary. Can you give me some other source?

Not a book I have ever had need of I"m afraid.