Students learn mathematics through the experiences that teachers provide. Teachers must know and understand deeply the mathematics they are teaching and understand and be committed to their students as learners of mathematics and as human beings. There is no one “right way” to teach. Nevertheless, much is known about effective mathematics teaching. Selecting and using suitable curricular materials, using appropriate instructional tools and techniques to support learning, and pursuing continuous self-improvement are actions good teachers take every day. The teacher is responsible for creating an intellectual environment in the classroom where serious engagement in mathematical thinking is the norm.
Effective teaching requires deciding what aspects of a task to highlight, how to organize and orchestrate the work of students, what questions to ask….