—Read "The Theory and Practice of In-depth Teaching of Mathematics"
This is a reading note. Looking at the title, you can see that this article has two keywords: one is "take things as they come" and the other is "holiday reading". So, why are these two keywords used as the title of this reading note? Below, we will focus on the reading during the holidays, especially the reading on "The Theory and Practice of In-depth Teaching of Mathematics" during the holidays, divided into two chapters to talk about it.
Previous article: From "taking things easy" to holiday reading
What is the relationship between holiday reading and taking things easy? Let us start with another book - "The Biography of Su Dongpo", starting from Su Dongpo's contentment with the situation...
1. From Su Dongpo's contentment with the situation to our need to accept the situation with the situation
July 19 After reading "The Biography of Su Dongpo" by Liu Xiaochuan, I wrote a reading note "We need to "be content with the situation"". During this period, I talked about Su Dongpo's contentment with the situation and ours. I reminded myself and encouraged my family and friends to learn to get along with themselves and to live with themselves. When dealing with others and with the world, you can be calm and calm without taking things for granted or feeling sad for yourself.
2. Our adaptability: the plan will be adjusted in due course due to the seriousness of the epidemic
On July 20, all work came to an end at the end of the semester. I asked for leave from the school to go home to see my parents from July 21st to July 30th, and was approved. At 10:54 that night, the "Nanjing Release" WeChat public account saw the "Notice on Positive New Coronavirus Tests at Nanjing Lukou International Airport" issued by the Nanjing New Crown Pneumonia Epidemic Prevention and Control Headquarters, saying that Nanjing Lukou International Airport As of 6pm on the 20th, 9 nucleic acid test results of airport staff have been positive...
This is a signal, which means that those who were originally scheduled to go home to visit their parents on vacation from July 21st to 30th The plan was shelved.
I quickly adjusted my plan and wrote "Let's Talk About "Being Easy with Things" Again" on the morning of July 21. I used words to tell my family and friends that the fight against the epidemic was changing from normal prevention and control to a wartime state. We should what to do? What can we do? In the meantime, it is mentioned that it can be read.
3. Continue reading during the testing period - make "taking things easy" concrete and tangible
According to the unified deployment of the Nanjing New Coronavirus Epidemic Prevention and Control Headquarters, starting from July 21, all Nanjing The city mobilized to launch nationwide nucleic acid testing. Jinling Primary School (Xianlin Lake Campus), as one of the universal nucleic acid testing points in Xigang Street, will carry out the first round of nucleic acid testing for the permanent population and floating population of Xianlin Lake Community from July 22 to 23; on July 25 , the second round will be carried out; on July 29, the third round will be carried out. In every round of nationwide nucleic acid testing, as the manager responsible for all aspects of Jinling Primary School (Xianlin Lake Campus), I led members of the principal’s office, many administrators, teachers, and the property logistics team to participate.
As a party member teacher, in addition to participating in all the work undertaken by the school, I also led members of the management team in Nanjing to actively respond to the initiative of the District Education Bureau and sign up to participate in the nucleic acid test of Xianlin Primary School The point is for the nucleic acid testing volunteer work for Sukang code yellow code personnel, and participated in the work on the afternoon of August 1...
Between the last round and the next round of nucleic acid testing for all employees, there are So what should we do during this little break? Occasionally, I turn on the TV, watch the news, follow the Tokyo Olympics, and pay attention to the latest developments in epidemic prevention and control. More often, I do what I have always liked - reading.
In late July, when the "fireworks" have come and the epidemic prevention and control has not yet seen an inflection point, I choose to use reading to complete the fight against the epidemic when I am alone. I choose to continue reading during the period of testing. During this illness Be content with the situation in a modern city.
Next article: Entering "Theory and Practice of In-depth Mathematics Teaching"
My life outside of work is relatively simple, and reading is the most important content.
Before the summer vacation has begun, I have already stocked up on some books, such as "The Story of Su Dongpo", "The Theory and Practice of In-depth Teaching of Mathematics", and "U-shaped Theory". Among them, "Su Dongpo's Life" "Biography: A Lifetime of Misty Rain" and "U-shaped Theory" are currently being read. After the summer vacation started, I successively purchased some books, including "Utopia", "My Geometric Life: The Autobiography of Yau Shing-tung", "Das Kapital", and "Learning to Cross the Digital Divide".
From July 1st to July 20th, I was busy with various tasks at the end of the semester. I went to school almost every day, but I could usually commute to and from get off work at normal times, so I read at my usual pace. By July 20, "The Biography of Su Dongpo? A Life in the Misty Rain" and "U-shaped Theory" have been read.
On July 22, Nanjing’s nationwide nucleic acid testing began, eliminating the need to go to school every day. When you are not at school, you can study at home. My eyes wandered across the bookshelves, looking for priority readers among the rows of newly purchased books. The first book to be opened was "Theory and Practice of In-depth Teaching of Mathematics" by Professor Zheng Yuxin.
1. Beyond disciplines, why?
Why did you choose Professor Zheng Yuxin’s "Theory and Practice of In-depth Teaching of Mathematics" during this special period when you need to use reading to fill up your time and make yourself at ease with the situation?
Apart from the fact that this is a guidance book that is highly relevant to the development of this major and the teaching of this subject, why else?
"The Theory and Practice of In-depth Teaching of Mathematics" was printed for the first time in October 2020. The postscript of the author, Professor Zheng Yuxin, "Don't forget the original intention, keep the mission in mind" was written in March 2020.
March 2020, when is that time? Everyone knows that this was due to the sudden outbreak of the novel coronavirus pneumonia at the end of 2019 and the beginning of 2020, which caused all types of schools at all levels across the country to suspend classes without suspending learning. During that time, all teachers and students were quarantined at home as required to prevent the spread of the virus. So, in addition to blocking the spread of the virus, what else can home quarantine achieve? Professor Zheng Yuxin told us intuitively and vividly with the publication of "Theory and Practice of In-depth Teaching of Mathematics" that we can still reflect, write, and write books. In short, there are other more constructive methods, so that Get more meaningful results.
In late July, epidemic prevention and control in Nanjing was in a tight situation, and nucleic acid testing for all employees has advanced to the third round. In life, what people are most concerned about is the development trend of the epidemic and the results of epidemic prevention and control. At this special time, we have to choose books to read. The time when Professor Zheng completed "The Theory and Practice of In-depth Teaching of Mathematics" and the time of completion can be clearly seen through Professor Zheng's reflections on writing books during the epidemic. His easy-going nature naturally moved me deeply, and it became my first choice to continue reading during the period of severe epidemic prevention and testing of all employees.
2. First understand it as a whole, and then focus on it
So, what exactly is this book about? Below, we will start from the table of contents and go into "Theory and Practice of In-depth Teaching of Mathematics".
(1) Overall understanding
"The Theory and Practice of In-depth Teaching of Mathematics"*** consists of three parts, the first part is "Focus on Chinese Mathematics Education", the second part is "Towards "In-depth Teaching"", the third part is "Professional Growth of Mathematics Teachers". Judging from the title, the second part should be the focus of this book. Below we will focus on the second part.
(2) Key points of attention
The second part is "Towards "In-depth Teaching"". There are 4 chapters, namely Chapter 4 ""In-depth Teaching of Mathematics"" Theoretical Analysis", Chapter 5 "From "Methodological Reconstruction" of Teaching Content to "Problem Leadership"", Chapter 6 "Strive to Improve Students' Thinking Quality" and Chapter 7 "Helping Students Learn to Learn".
1. Read Chapter 4
Chapter 4 "Theoretical Analysis of "In-depth Teaching of Mathematics"" includes 2 sections. The first section is "Starting from "Deep Learning"", and the second section is "From "Mathematics Core Competencies" to "Mathematics In-depth Teaching".
Professor Zheng Yuxin believes that when talking about "deep teaching", we should start with "deep learning". What's the reason? Careful analysis reveals 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. When talking about teaching, the subject is the teacher; when talking about learning, the subject is the student by default. Only when teachers can achieve in-depth teaching can students achieve in-depth learning. In other words, if in-depth learning has been achieved, it means that the goal of in-depth teaching has been achieved. Second, deep learning has richer meanings than deep teaching. Learning includes not only formal learning that mainly occurs in schools, but also self-study and lifelong learning. Therefore, talking about deep learning is broader and more comprehensive than deep teaching.
Whether it is in-depth learning or in-depth teaching, Professor Zheng Yuxin’s analysis focuses on the core competencies of mathematics. Combining many relevant discussions, Professor Zheng refined version 1.0 and version 2.0 of deep learning, and finally summarized that "the current promotion of 'deep learning' is not only an inherent requirement of mathematics education, but also a necessary correction for 'shallow learning of mathematics'. It is also an inevitable requirement for the modern development of human society, because only by making more conscious efforts in these aspects can mathematics education well adapt to the needs of future society."
2. Read Chapter 5<. /p>
Chapter 5 is titled "From "Methodological Reconstruction" of Teaching Content to "Problem Leading". The author reveals the relationship between "methodological reconstruction" and "problem leading" at the beginning of this chapter - "If the 'methodological reconstruction of teaching content' embodies the leading role of teachers in teaching activities, then we obviously also We should attach great importance to the dominant position of students in learning activities, which is the main reason why mathematics teaching should highlight 'problem-led'." In other words, the "methodological reconstruction of teaching content" focuses on teachers' teaching, "problem-led" The focus is on student learning. Therefore, Chapter 5 has two sections. The first section is "Methodological Reconstruction" of Mathematics Content, and the second section is "Problem Guidance" and "In-depth Teaching".
Professor Zheng Yuxin believes that "methodological reconstruction of teaching content" is more consistent with the "methodological perspective" in mathematical (scientific) philosophy, and makes further progress with the help of Freidenthal's discussion of "re-creation" The explanation is that "striving to teach concepts using the method of occurrence does not mean that we must completely follow the sequence of knowledge development, and even teach without deleting the detours and dead ends we have taken, but we must assume that if there are teachers who have already Knowing what we know now, how should we discover it, just like the sighted person telling the blind how to create and discover.”
From an educational point of view, mathematics education should not only help students learn more. Master relevant mathematical knowledge or skills well, and be able to mobilize their enthusiasm for learning. It should also help them better understand the mathematical thinking and methods hidden behind specific knowledge and skills. Therefore, "methodological reconstruction of teaching content" '" can be expressed as: How can teachers, through so-called "reconstruction" or "re-creation", make the corresponding discoveries or creations truly understandable, learnable and popularized by students, that is, they can be well understood In order to achieve the goal of "turning difficulties into easy things and turning magic into ordinary things", we can truly promote the development of students' thinking.
So, how to achieve "turning difficulties into easy, magic into ordinary"? Professor Zheng Yuxin cited a number of cases in Section 1 of Chapter 5 to give specific explanations. The significance of methodological reconstruction has been explained. In the specific operation process, there are still some issues that should be paid attention to. The author also explains and reminds them with cases.
Regarding "problem guidance", Professor Zheng Yuxin said: "We should not be satisfied with helping students master relevant knowledge and skills through appropriate questions, but should lead them to think more deeply through questions. , and can gradually learn to think, so as to truly become the master of learning." In order to clearly explain the problem, Professor Zheng Yuxin compared it with Polya's "problem solving" related discussion to explain "problem leading" and pointed out that "we Not only should we clearly affirm the approaches of 'problematization of knowledge' and 'intellectualization of problems', we should also 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 in-depth thinking level, and can truly become the master of learning. "It can be seen that the refining of questions is particularly important. It must not only be accurate, but also deep, in order to achieve the purpose of inducing mathematical thinking and promoting deep learning.
So, how to promote deep learning through problem leadership? Next, Professor Zheng Yuxin made further suggestions. For example, the appropriateness of the questions should be analyzed from the perspective of inducing students' "deep learning". For example, great attention should be paid to the application of "question chains" and let thinking be carried out in the question chains. The idea of ??guiding students to think deeply through appropriate questions should be well penetrated and implemented in all aspects of classroom teaching...
3. During reading, experience Beautiful
Before I knew it, I had moved from Chapter 4 to Chapter 5 of the book, and the page number had also gone from 135 to 192. In each section, Professor Zheng Yuxin puts forward multiple cases in combination with mathematics teaching to help readers deepen their understanding of the theory and how to transform the theory into practice, that is, to realize the practical interpretation of the theory. Theoretical understanding and practice form and establish a clearer operational path.
This experience is wonderful! Therefore, after reading "Theory and Practice of In-depth Teaching of Mathematics", I was extremely excited to contact Teacher Zhang Yining, the leader of the mathematics teaching and research team, to share the joy of reading and recommend top readings.
It is often said that the encounter between teachers and students is our fate as teachers. In fact, the encounter with books is also fate for readers, and there is a code of spiritual connection between them. The subject orientation of "Theory and Practice of In-depth Teaching of Mathematics" is consistent with our professional growth; the environment in which Professor Zheng Yuxin compiled "Theory and Practice of In-depth Teaching of Mathematics" is consistent with our situation in July; Professor Zheng Yuxin's compilation and dissemination during the anti-epidemic period , the positive actions also provided us with more meaningful and valuable actions to support us during the epidemic period... This is all about the "Theory and Theory of In-depth Teaching of Mathematics" when we were in Nanjing in late July, our bodies were busy but our hearts could not panic. The fate of "Practice".
For a bookworm, the feeling of turning the pages of a book is also a very subtle but particularly important feeling. Professor Zheng Yuxin’s "In-depth Teaching of Mathematics" published by Jiangsu Phoenix Education Press "Theory and Practice" provides us with a different kind of beauty in this aspect - the inner cover pages are made of special material, soft but not slippery. Every time you turn it over, your experience deepens, so in your heart, you can't help but turn over the pages that you have always felt distressed about. The page becomes a vague expectation.
Mathematics, what is it? It is through mathematics that people learn to think, learn to be rational, and ultimately have a rational spirit. Rational thoughts and rational spirits are equally needed for the choice and initiation of reading, for everyone's mentality and behavior during the current fight against the epidemic, and for people to get along with themselves, with others, and with the world.
This place of peace of mind is my hometown. Reading during the holidays is my hometown. I wish everyone can find a way to be at peace with the situation, go through July and this summer vacation safely, and move towards a better tomorrow.