The cultivation of mathematics accomplishment is the primary goal for college mathematics education. By the opti- mization of teaching contents, exploring the way of teaching, enrichment of the teaching organizational models and paying more at- tention to non - intellectual factors in the college mathematics teaching, the students' accomplishment of the mathematical think- ing ways and methods, history of mathematics, practice of applying mathematics and non - intellectual factors can be improved. Thus, the ideal goal of "from mathematics teach...