With educational reform deepens, the system not only has a larger classroom adjustment, but reflects the education of teachers and students learning the fundamental change Exploratory learning to become teachers and the quality of education students take the initiative to learn a good way. Exploratory teachers to study the philosophy of education, knowledge, teaching skills, and other challenges. In this paper the structure of knowledge, teaching skills discussed in the secondary mathematics teachers meet these challenges. By the profound grasp of basic math knowledge into the classroom knowledge of the history of mathematics, science and generous basic knowledge, comprehensive education, science and psychology of scientific knowledge constitute a comprehensive, rational knowledge, and enhancement of teaching acquisition and processing of information, with the students explore exchanges, classroom management, the Smart problem situation, the use of new technology in teaching and other aspects of classroom teaching skills to deal with the inquiring study challenges