Bruner, an American educational psychologist, pointed out that mastering basic mathematical ideas and methods can make mathematics easier to understand and more conducive to memory, and understanding basic mathematical ideas and methods is the "bright road" to the migration road. Mastering mathematical ideas and methods can help students think about problems scientifically, explore laws, discover truth and solve problems. Taking the teaching of circle area as an example, this paper discusses how to infiltrate students' ideas of transformation, experiment, limit and mathematical model. First, introduce new courses and infiltrate the concept of transformation. Dialectical materialism holds that "dialectics is a theory that studies how opposites are unified-under what conditions-and why people should not regard these opposites as fixed things, but as vivid, conditional, changeable and mutually transformed things." Things are interrelated, restricted and transformed. Editor-in-Chief of Mathematics Discipline Gao Jie's mathematics discipline is an inseparable whole, and its parts are also interrelated and transformed. Transforming ideas is an important strategy to solve mathematical problems, and it is a way of thinking from one form to another.