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

This course has better helped me understand the level of student thinking when it comes to mathmatical concepts. Math can be a very confusing subject for many differnt students. Be able to understand how students think, apply, and comprehend material, will better help me to present new material. Math can be taught at an very early age. It is important to help children learn basic counting skills in order to build upon in later years. Children have greater critical thinking ablitities than sometimes credited. Its important to allow students to make mistakes and help them learn from the mistakes. As a teacher its important to ask questions like, "how did you solve this, why did you do this this way?" Asking questions helps us, as teachers, understand why a child solved or applied a concept. This class has provided many new ideas and games to present to all levels of students. I have learned alot from the LPU's and plan on applying them in the future in my classroom.