When I attended the Mickelson Academy in New York a couple of summers ago, one of our presenters was the author of a book about "Math Talks". She discussed the importance of students sharing how they arrive at their math answers and how you can arrive many different ways and all the ways could be correct! I love it because students can see there is more than one way to get the correct answer and it shows their understanding of a concept on a deeper level when you can hear their thinking!
Here is an example of one of our "math talks" from today when we were talking about writing numbers in different forms- from standard, word, and expanded.