Using the NCTM process of standards really help us as teachers to understand the challenges our students face and it helps us provide several means and methods to open learning to our students.
- posing questions to challenge student thinking;
- listening carefully and monitoring understanding;
- encouraging each student to participate – even if it means asking, “Who can repeat what Andrew said?” or “Who can explain in another way what Bailey did?”
Teachers can reflect on their practice by examining a model for representation. Students’ thinking about problem solving as reflected in these representations may differ from their teachers’ thinking. The Representations Model provides a lens for making sense of students’ responses to tasks. (I think that this says it all.)