Abstract: Under the guidance of the concept of core literacy, high school mathematics teaching should focus on the cultivation of students' innovative thinking. Based on the practical problems in classroom teaching, this paper expounds teaching strategies from two aspects: optimizing teaching environment and paying attention to daily cultivation. In the optimization of the environment, pay attention to respect students' thinking development law, encourage thinking; Construct harmonious classroom teaching relationship and realize efficient interaction. In the aspect of daily cultivation, it is proposed to pay attention to the trend and improve students' observation ability. Thinking gymnastics, to stimulate students' mathematical imagination; Multi-angle thinking, improve students' divergent thinking ability.

Key words: Core accomplishment, High school math, Innovative thinking, Cooperation inquiry