This problem is a typical pancake problem. Pancake problem mainly discusses how to arrange homework reasonably to save the most time and let students experience the application of optimization thought in solving problems.
This part of knowledge is abstract and difficult for students to understand. Although students have been exposed to pancakes in their lives, they lack practical experience in pancakes. Therefore, through deduction, example, observation, operation, discussion and optimization, students can understand the practical strategy of "how to make pancakes is the most reasonable", so as to cultivate their initial awareness of optimization.
Let students try to find the best solution from the perspective of optimization, and experience the application of optimization thought in real life and game theory in solving problems, so as to cultivate students' application consciousness and improve their ability to solve practical problems.
The significance of pancake problem;
Pancake problem completes the abstraction from life situation to mathematical problem, from mathematical problem to reasoning and modeling of mathematical methods and strategies, and from mathematical regression to life model application. Let us see that through our efforts, we can make the core literacy take root and blossom in our classroom.
Isn't this what Professor Shi Ningzhong elaborated in "The Core Literacy of Mathematics": let students observe the real world (abstract) with mathematical eyes, analyze the mathematical world (reasoning) with mathematical thinking, and express the reality and mathematical world (model) with mathematical language?
What this pursues is the natural generation process, multi-level thinking collision and full mathematical communication. So, we not only made the cake well, but also mastered the methods and skills of baking the cake, and accumulated the experience and thinking of baking the cake.
I won't panic when I meet new problems in my future life. I can think like this, do like this, and solve it like this.