"Looking for Defective Products" - See what others can't see

The lesson "Looking for Defective Products" taught by Principal Hua Yinglong was introduced by the recruitment of employees by the "Microsoft" company. The research centered on the question "Among 81 table tennis balls, only one is slightly heavier. If you can only use a scale without weights and weigh it at least several times, you can ensure that you find this slightly heavier ball."

To be honest, this is my first time listening to this class. As soon as the question came up, I was stumped and couldn't help but write and draw on paper. I haven’t gotten the result yet as to the “minimum number of times”. After thinking independently, the children in the class were eager to try and raised their hands one after another. How do you proceed when faced with children’s different answers and difficult questions? I was at a loss in my mind and wanted to see how Principal Hua would guide the students to further find solutions to the problems.

Lao Tzu's saying "All difficult things in the world must be done with ease" made my eyes light up, and I felt like "there is no way out despite the mountains and rivers, and there is a village with dark flowers and bright flowers". While admiring Principal Hua's calmness and ease, I wrote the words "inheritance" and "integration" on the paper. "Tao Te Ching" is a philosophical work by Laozi. Philosophy is incorporated here without being blunt or far-fetched at all. This is because this method can not only solve mathematical problems, but is also effective in solving other problems in study and life. In this way, we can seize the root essence of communication and fuse, inspire each other, leverage each other's strength, and get twice the result with half the effort; it can also penetrate the principles of life silently and invisibly.

In the children’s discussions and exchanges again and again, the invisible third plate became increasingly clear. From the beginning there were two plates on the scale, then some students thought there were three plates, and then all the students answered "three" in unison. With the invisible third plate, the problem is solved. I thought it was over here, but Principal Hua asked another question: "Why does Microsoft use this question to recruit employees?" While introducing it, it not only inspired the students to review the visible problem of "looking for defective products" Questions can also inspire students to think about invisible life issues.

As Principal Hua concluded, "Things in the world are often divided into three. Tao generates one, one generates two, two generates three, and three generates all things." As the students couldn't help but say "Oh~ ", I think the students will be like me, feeling like they are suddenly lifted into the sky from the ocean of mathematical knowledge, comprehending "upper, middle, lower", "left, middle and right", "good, middle, difference", "greater than, Equal to, less than", "positive numbers, negative numbers, 0", "prime numbers, composite numbers, 1", "past, present, future", "soft, hard, soft", taste "three things". At this moment, the space of my thoughts was infinitely enlarged, and the picture in my mind was magnificent and far-reaching. I wrote down the word "pattern" on the paper again.

After the lesson of "Looking for Defective Products", I not only remembered the "third plate", but also remembered that "the world's difficult things must be done in an easy way", "Tao gives birth to one, and gives birth to two. Two words give rise to three, and three give rise to all things." I think these will help me in my future study and life, and will also affect every student in the class. How can you see what others can’t see? How can we use a tall structure and a broad vision to bring students a different mathematics learning experience? How can we seize the root essence and integrate it to enrich the foundation of mathematics classroom?

1. Reading. As Principal Hua said, "You can teach well only if you know how to read." As the saying goes, "Reading a book a hundred times will reveal its meaning." If you want to understand the essence and grasp the essence, it is not enough to read at a glance. Reading requires thinking, and only by connecting your own actual thinking can you "read other people's words and solve your own problems"; reading requires using a pen to write down your own thoughts at any time, so that you can correctly extract them from your memory when using them. Through constant reading and constant thinking, the way we deal with people will quietly change; "with poetry and calligraphy in our belly," our structure will also improve accordingly. Extensive reading, effective reading, and a comprehensive understanding will enable you to accumulate knowledge. Naturally, it can achieve the effect of seeing clearly and using it flexibly.

2. Feelings. We cannot take classes just to teach math knowledge, nor can we take classes just to teach scores. We have to think deeply about what we want students to remember after a lesson? And what do students really remember? We not only need to teach, but also educate people. What we cultivate is by no means a container for receiving knowledge. We want to influence students through education, but more importantly through the way we deal with people and our personality. Mathematics comes from life, and our mathematics teaching must be rooted in real life and keep pace with the times. Such mathematics classes can be more lively and meaningful. The reason why we can live a stable life now is because someone is carrying the burden for us. We want students to care about the motherland and understand that only a country has a family; we want students to care about current affairs and be sensible and grateful; we want students to learn to learn, learn to live, and learn to use the knowledge they have learned to change lives and create lives. If you have a broad mind, you will naturally see things differently.

3. Be intentional. It is necessary to make a mathematics lesson just right and cleverly integrate appropriate content to stimulate interest, inspire thinking, broaden horizons, transfer methods, cultivate feelings, cultivate habits, experience life, taste life, etc., instead of putting the cart before the horse, overshadowing the guest, and being far-fetched. , we must grasp the "essence" and handle the "connection" well. "Nothing is difficult in the world, as long as there are people with a heart." We must be a person with a heart. Observe carefully to observe the needs of students; study carefully to study the roots of knowledge.

Select and dig deep into materials that match “needs” and “roots” for fusion. These materials are derived from the knowledge and methods accumulated through reading, the experiences and insights accumulated through living, and the principles of life accumulated through understanding. It is said that "the eyes are the windows to the soul". I want to look with my heart and see more that others cannot see.