What strategies does the teacher use to actively engage the students? How effective are these?

In my observations, the teachers have actively engaged the students in many ways.  I have had the opportunity to sit in math lessons, and the students are able to use base 10 blocks, they are able to come up to the board and show their work in class so that the other students can learn from each other, powerpoint presentations to break down word problems to help the students solve the equations, they are able to use white boards and markers, discuss different ways of modeling a math problem, as well as work together in groups.

Each one of these strategies has been extremely effective in the classroom.  It allows the students to be engaged, use their hands, sight, and sounds to solve the problem.  They learn from each other, and they are encouraged to share their thought process with the class.  They are rewarded for their efforts by tokens that can be spent on their class "store" (prizes to choose from).  Students are intently listening, and focused on what is going on.