Experiences of "immersion" in mathematics have the following impact on teachers:
Teachers' beliefs and attitudes about mathematics will change.
Mathematics as a part of nature / a language / a tool / an art.
Mathematics is built around ideas with multiple threads connecting those ideas
Mathematics is the art of figuring things out / sense-making / exporing / asking questions.
Teachers' beliefs and attitudes about themselves as teachers of mathematics will change.
Mathematics as a professional / community / individual activity.
Mathematics as a lifelong learning experience
"Advanced mathematics" as an accessible learning experience
Look for the big ideas and arrange classrooms accordingly
Teachers' beliefs and attitudes about their students as learners of mathematics will change.
All students can achieve at high levels in mathematics;
Students can enjoy doing mathematics;
Teachers gain deeper insight into how students think / reason / learn and solve problems;
Teachers learn the "meaning" of student questions and develop strategies for mining student ideas;