In this paper, we discuss college education teaching mathematics under the new cultural mode of "Integration of Vocational Training and college education".Within the framework of Piaget's constructivism theory, this paper discusses the "six steps" class structure and the teaching processes and methods from the inside and outside class designed to develop the students' learning habits and proficiency through six stages in teaching practice from September 2014.The teaching practice shows that the guided learning for mathematics is helpful to improve students' learning habits and awareness of active learning by strengthening students' preview and learning ability.