Many students listen attentively and take detailed notes, but their problem-solving ability is gradually improved. The reason is that formal participation in math class is more than thinking participation, just passive listening and recording. Garuoflo pointed out: "If we want students to be active learners of mathematics, rather than people who know the facts and steps of mathematics, then we must design good teaching to help develop students' metacognition. "So I try to use timely and effective instructions in math class.

First of all, effective guidance in the examination process can help students develop good examination habits.

The college entrance examination carefully examined the questions and solved the problem half successfully. However, many liberal arts students narrowly understand the examination of questions as close reading, so effective guidance can help them improve their ability to understand the meaning of questions and analyze problems.

Example 1 it is known that the function f(x) defined on r satisfies f (1) = 2, and f' (x) < 1, then the inequality f(x? 2)