Hey Natasha,
Some of the main differences between the American and Indian method of Teaching are:
Curriculum: The Indian curriculum focuses its attention towards the theoritical aspect. While the American system concentrates on the Practical approach of teaching.
Competition: While the competion amongst students is great wherever you go, there are a fewer number of students who opt to do their Masters in the U.S then there are in India. Therefore you have a better chance at getting into universities in the U.S then in India.
Research: The United States are a good place for students who want to study in areas of research and academics. There practical way of studies help facilitate this.