-the theory and practice of deep teaching of reading mathematics

This is a reading note. Look at the title and you will know that there are two key words in this article: one is "happy-go-lucky" and the other is "reading on holidays". So, why use these two keywords as the title of this reading note? Below, we will focus on the holiday reading, especially the holiday reading of Theory and Practice of Mathematics Deep Teaching, which is divided into two chapters.

The first part: from "happy-go-lucky" to holiday reading.

What is the relationship between holiday reading and carefree? Let's start with another book, Su Dongpo's Biography, and Su Dongpo's Carefree Storm. ...

First, from Su Dongpo's carefree situation to our need to be carefree.

/kloc-In July of 0/9, after reading Liu Xiaochuan's Biography of Su Dongpo, I wrote a reading note "We need to take things as they are", during which I talked about our carefree from Su Dongpo's "Careless" to remind myself and encourage my family and friends to learn to get along with themselves, others and the world.

Second, we are happy with the situation: due to the serious epidemic, the plan is adjusted in time.

On July 20th, the term ended and all the work came to an end. On July 21-July 30, I asked for leave from school to go home to see my parents and was approved. That night 10:54, I saw the "Notice on COVID-19 Positive in Nanjing Lukou International Airport" issued by Nanjing COVID-19 Epidemic Prevention and Control Headquarters through the WeChat WeChat official account released in Nanjing, saying that as of 6 pm on the 20th, 9 cases of nucleic acid test were positive in Nanjing Lukou International Airport staff. ...

This is a signal that the original plan of going home to visit my parents on July 2 1 -30 ran aground.

Adjust the plan quickly. On the morning of July 2 1, I wrote "Let's talk about it" and told my family and friends in words that the fight against the epidemic is changing from normal prevention and control to wartime. What can we do? What can we do? In the meantime, I mentioned that I can study.

Third, continue reading between inspections-make "let things go as they are" concrete.

According to the unified deployment of the epidemic prevention and control headquarters in COVID-19, Nanjing, the whole city mobilized to start the national nucleic acid detection from July 2 1. Jinling Primary School (Xianlinhu Campus), as one of the national nucleic acid detection points in Xigang Street, conducted the first round of nucleic acid detection for the permanent population and floating population in Xianlinhu community on July 22 -23. On July 25, the second round started; On July 29th, the third round was held. As the overall manager of Jinling Primary School (Xianlinhu Campus), I led members of the principal's office and several administrative, teachers and property logistics teams to participate in each round of national nucleic acid testing.

As a teacher in party member, I participated in all the work undertaken by the school, and together with the members of the Nanjing management team, I actively responded to the initiative of the District Education Bureau, signed up for the volunteer work of nucleic acid detection for the "code yellow" population in Su Kang of Xianlin Primary School, and took part in the work on the afternoon of August 1. ...

There is a little gap between the last round and the next round of all-round nucleic acid detection. What should I do? Occasionally turn on the TV, watch the news, pay attention to the Tokyo Olympic Games, pay attention to the latest developments in epidemic prevention and control, and more often, I am doing what I always like-reading.

At the end of July, when the "fireworks" came and the epidemic prevention and control had not yet seen a turning point, I chose to complete the anti-epidemic by reading when I was alone, and continue reading during the inspection, so as to be happy with the situation of this sick city.

The second part: the theory and practice of entering the deep teaching of mathematics.

My life outside of work is relatively simple, and reading is the most important content.

Before the summer vacation started, I hoarded some books, such as Su Dongpo's "Mist and rain cast their shadows before them", "Theory and Practice of Deep Mathematics Teaching" and "U-shaped Theory". Among them, Su Dongpo biography? I'm reading a misty rain in my life and U-shaped theory. After the summer vacation, I bought some books one after another, including Utopia, My Geometric Life: Qiu Chengtong's Autobiography, Das Kapital and Learning to Cross the Digital Divide.

From July/KLOC-0 to July 20th, I was busy with all the work at the end of the term. I go to school almost every day, but I usually go to work at normal time, so I read at the usual speed. By July 20th, the biography of Su Dongpo? I have read "A misty rain in my life" and "The Theory of U".

On July 22nd, the national nucleic acid test in Nanjing began, and it is no longer necessary to go to school every day. You can study at home when you are not at school. Eyes flitted across the shelves, looking for priority readers in a row of newly bought books. The first book opened is the Theory and Practice of Deep Mathematics Teaching by Professor Zheng Yuxin.

First, outside the discipline, why?

Why do you choose Professor Zheng Yuxin's Theory and Practice of Mathematics Deep Teaching at this special moment when you want to enrich your time and make yourself happy by reading?

Apart from the fact that this book is highly related to the development of this major and the teaching of this subject, why?

The Theory and Practice of Mathematics Deep Teaching was printed in June, 2020, issue 1, and the postscript written by Professor Zheng Yuxin was written in March, 2020.

March 2020, when was that? As we all know, it was the novel coronavirus epidemic that broke out at the end of 20 19 and the beginning of 2020, which led to the suspension of classes at all levels and types of schools in China. During that time, all teachers and students were isolated at home as required to block the spread of the virus. So, what purpose can home isolation achieve besides blocking the spread of the virus? Professor Zheng Yuxin vividly told us with the publication of Theory and Practice of Deep Mathematics Teaching that we can still reflect, write and write books. In short, there are other more constructive ways to get more meaningful benefits.

In late July, the epidemic prevention and control in Nanjing was tense, and the nucleic acid detection had all advanced to the third round. In life, people are most concerned about the development trend of epidemic situation and the results of epidemic prevention and control. At this special time, it is necessary to choose books to read. It is impressive that Professor Zheng completed the theory and practice of mathematics in-depth teaching and his reflective attitude with writing as the carrier in the popular period. Nature was deeply moved, and then it became the first choice to continue reading between the severe epidemic prevention situation and the full inspection.

Second, understand the whole first, and then concentrate.

So, what is this book really about? Next, we will start from the catalogue and enter the theory and practice of deep mathematics teaching.

(A) the overall understanding

The theory and practice of mathematics in-depth teaching consists of three parts. The first part focuses on Chinese mathematics education, the second part is towards in-depth teaching, and the third part is the professional growth of mathematics teachers. Combined with the topic, the second part is the focus of this book. Let's focus on the second part.

(2) Concern

The second part is towards in-depth teaching, which consists of four chapters, namely, Chapter IV: theoretical analysis of in-depth teaching of mathematics, Chapter V: from methodological reconstruction of teaching content to problem guidance, Chapter VI: improving students' thinking quality, and Chapter VII: helping students learn to learn.

1. Read Chapter 4.

The fourth chapter, the theoretical analysis of mathematics in-depth teaching, consists of two sections. Section 1 comes from "deep learning" and section 2 comes from "core literacy of mathematics" to "deep teaching of mathematics".

Professor Zheng Yuxin thinks that when it comes to "deep teaching", we should start with "deep learning". What is the reason? Careful analysis is inseparable from the very important relationship between teaching and learning. Professor Zheng talked about the following points: First, deep learning is the goal of deep teaching, that is, deep teaching should promote and realize students' deep learning. Talking about teaching, the subject is the teacher; When it comes to learning, the subject is the student by default. Only when teachers can achieve deep teaching can students achieve deep learning, that is, if deep learning has been achieved, it means that the goal of deep teaching has been achieved. Second, deep learning is richer than deep teaching. Learning includes not only formal learning mainly at school, but also self-study and lifelong learning. So deep learning is more extensive and comprehensive than deep teaching.

No matter in-depth study or in-depth teaching, Professor Zheng Yuxin closely analyzes the core literacy of mathematics. Combining with many related discussions, Professor Zheng refined the two versions of 1.0 and 2.0 of deep learning, and finally came to the conclusion: "Promoting' deep learning' today is not only the inherent requirement of mathematics education, but also the necessary correction of' elementary mathematics' and the inevitable requirement of modern development of human society. Because mathematics education can only adapt to the needs of the future society if it works harder in these aspects. "

Read chapter five.

The fifth chapter is "from methodological reconstruction of teaching content to problem-oriented". At the beginning of this chapter, the relationship between "methodology reconstruction" and "problem-oriented" is revealed —— "If" methodology reconstruction of teaching content "reflects the leading role of teachers in teaching activities, then students' dominant position in learning activities should obviously be highly valued in teaching, which is the main reason why" methodology reconstruction of teaching content "should be emphasized in teaching. Therefore, the fifth chapter has two sections, section 1 is "Methodological Reconstruction of Mathematics Content", and the second section is "Problem Leading" and "Deep Teaching".

Professor Zheng Yuxin believes that "methodological reconstruction of teaching content" is more in line with the "methodological perspective" in the philosophy of mathematics (science). With the help of Friedenthal's exposition on "re-creation", it is further explained that "trying to teach concepts by the method of occurrence does not mean that we must teach them in full accordance with the development order of knowledge, even if the detours and dead ends we have passed are not deleted, but we should imagine that if a teacher already knows what we know now,

From the perspective of education, mathematics education should not only help students master relevant mathematics knowledge or skills, stimulate their enthusiasm for learning, but also help them understand the mathematical ideas and methods hidden behind specific knowledge and skills. Therefore, "methodological reconstruction of teaching content" can be expressed as: How do teachers "reconstruct" or "recreate"? Thus, the corresponding discovery or creation can be truly understood, learned and popularized by students, that is, the goal of "turning the difficult into the easy and turning the magic into the vulgar" can be well realized, thus truly promoting the development of students' thinking.

So, how to realize "turning the difficult into the easy, turning the magic into the vulgar"? Professor Zheng Yuxin listed several cases in the fifth chapter 1. The significance of methodology reconstruction has explained that there are still some problems that need attention in the specific operation process, and the author has also explained and reminded them with cases respectively.

Regarding "question guidance", Professor Zheng Yuxin said: "We should not be satisfied with helping students master relevant knowledge and skills well through appropriate questions, but should guide them to think more deeply through questions and gradually learn to think, so as to truly become the masters of learning." In order to explain the problem clearly, Professor Zheng Yuxin compared it with Paulia's "problem solving" to explain "problem leading", pointing out that "it is necessary to clearly affirm" knowledge problem "and" knowledge problem ",and attach great importance to how to guide students to think more deeply through appropriate questions, that is, from the study of specific knowledge and skills to the level of thinking, and to truly become the masters of learning." It can be seen that refining is particularly important, not only accurate, but also in-depth, in order to achieve the purpose of inducing mathematical thinking and promoting deep learning.

So, how to lead the development of deep learning through problems? Next, Professor Zheng Yuxin made further suggestions. For example, we should analyze the appropriateness of the problem from the perspective of arousing students' "deep learning". For example, we should attach great importance to the application of "problem chain" to make thinking easier in the problem chain, and the idea of guiding students to think deeply through appropriate questions should be well infiltrated and implemented in all aspects of classroom teaching. ...

Third, experience beauty while reading.

Before I knew it, I had moved the book from chapter 4 to chapter 5, and the page number was from 135 to 192. Among them, in each section, Professor Zheng Yuxin puts forward several cases in combination with mathematics teaching to help readers deepen their understanding of the theory, and at the same time, to form and establish a clearer operation path on how to turn the theory into practice, that is, to realize the practical interpretation and practical theoretical understanding of the theory.

This experience is wonderful! So after reading "Theory and Practice of Mathematics Deep Teaching", I contacted Mr. Zhang Yining, the head of mathematics teaching and research group, with great excitement to share the pleasure of reading and recommend * * * reading articles.

It is often said that the love between teachers and students is our destiny as teachers. In fact, the encounter with the book is also fate for readers, and there is a telepathic password between them. The subject orientation of the theory and practice of mathematics deep teaching is in line with our professional growth. The environment in which Professor Zheng Yuxin edited the Theory and Practice of Mathematics Deep Teaching is very consistent with our situation in July. Professor Zheng Yuxin's active actions during the anti-epidemic period also provide us with more meaningful and valuable action reference to support the carefree situation during the epidemic period ... This is the fate of being in Nanjing in late July, being busy but not flustered, and the theory and practice of deep mathematics teaching.

For a bookworm, the sense of turning pages in a book is also a very subtle but particularly important feeling. The Theory and Practice of Mathematics Deep Teaching, published by Jiangsu Phoenix Education Publishing House and edited by Professor Zheng Yuxin, just provides us with a different kind of beauty in this respect-the inner page of the cover is made of special materials, soft but not slippery, and the experience will deepen every time it is turned over. Therefore, in my heart, I can't help turning the pages that have been distressed into a vague expectation.

Mathematics, what is it? It is through mathematics that people learn to think, learn to be rational, and finally have a rational spirit. Rational thinking and rational spirit are equally necessary for the choice and opening of reading, for everyone's mentality and behavior in fighting the epidemic, and for people to get along with themselves, others and the world.

This peace of mind is my hometown. Reading during holidays is my hometown. I wish you all a carefree and safe journey through July and this summer vacation and a better tomorrow.