My own experience has shown that to recognize and nurture students’ talents, the teachers, first and foremost have to acquire deep knowledge of the subject and its pedagogy. One of the mathematics books I read as a student that has stayed with me ever since, is the book by a German mathematician – Felix Klein “Elementary Mathematics from an Advanced Standpoint”. Reading this book gave me an opportunity to develop a much deeper view of mathematics, as well as interconnections within mathematics and between mathematics and other sciences. I am convinced that to teach gifted mathematics and science students, teachers have to know far beyond the “traditional curriculum”. Knowing deeper opens unprecedented learning opportunities and helps develop appreciation and joy of experiencing mathematics and science. It also helps teachers see how big ideas in these fields were developed and how many wrong turns were taken by great men and women to build these fields. Thus, intellectual risk taking becomes part of learning. One of the advantages we have today is the educational technology that allows students, especially gifted ones, to try, fail, try again, and eventually experience the joy of figuring things out and seeing the true beauty of our fields.