What knowledge have you gained about how children learn mathematics from this course?

1. I have gained a lot of knowledge about learning math in this course. Children all learn differently, we all already knew that, but what was unknown was different ways to teach how to solve a problem so that many different children can find the correct answer based on what they already know. Children can come to the same conclusion, same answer, even if they start at a different spot of the problem because it depends on where they are at and how they are attacking the problem. It is important to let students know that they can make mistakes and that's ok, it is also important to let children explore a problem before you give them too many limitations, the "correct" way to solve the problem or the answer. It is also valuable to let children discuss and verbalize what it is they are thinking, how they are getting to their solution.