初中生在生理发展和心理特征上的差异是客观存在的;对数学的兴趣和爱好,对数学知识的接受能力的差异也是客观存在的,继续在教学中采用“一刀切”的教学方法,已经不符合素质教育的要求。“分层教学”是一种面向全体,因材施教的教学模式,它强调了“教师的教要适应学生的学,要做到因材施教,分层提高,让尖子生冒出来,使多数学生迈大步,后进生不落伍,达到班级整体优化”。分层递进教学的核心是面向全体学生,正视学生的个体 The differences in physiological development and psychological characteristics of junior high school students exist objectively; the interest in mathematics and hobbies, as well as the differences in the ability to accept mathematics knowledge are also objectively existing, and the “universal” teaching method continues to be used in teaching. Already not meet the requirements of quality education. “Layered teaching” is a teaching mode that is oriented towards the whole and teaching students in accordance with their aptitude. It emphasizes that “teachers’ teaching must adapt to the students’ learning, they must do their best to teach students in accordance with their aptitude, and they must increase their stratification so that the top students will emerge and make the majority.” The students are making strides, and the students are not left behind, achieving the overall optimization of the class." The core of the layered progressive teaching is for all students, facing the individual students.