I Teach Math DIFFERENTLY.
I began teaching so that I can get students to be successful at math, and that, simply is my aim here at Community High School.
I can lecture, but I choose not to because thats not how many of our students here learn. My goal is to have students develop as independent learners, a better strategy is to engage the natural curiosity of students, and to encourage them with questions rather than show them methods.
This may initially be frustrating for those students who have found learning mathematical procedures rather easy. This frustration should be seen as a sign that students are being challenged to think. Some ways I do this in my classroom are:
monitoring several groups to ensure they are all working efficiently,
sitting with one group to ask in-depth questions for the purpose of assessing each student's understanding,
assessing what all students are learning and responding to student difficulties and frustration with scaffolding questions and hints,
leading the entire class in an investigation or in reviewing skills, and
helping the entire class make an accurate summary of the mathematics learned.