Make children’s thinking visible

Shandong Province Excellent Teachers and Excellent Courses, hosted by Shandong Province Teacher Education Network, invited domestic mind mapping education and teaching experts and teachers to hold "primary and secondary schools" at Suncity Middle School, Dezhou City, Shandong Province from October 25th to 27th. Seminar and observation meeting on the application of mind mapping in subject teaching.” Thank you to the teachers of the Excellent Teachers and Excellent Courses team for their hard work! Let our frontline teachers have the opportunity to observe and learn!

As an efficient thinking and learning tool, mind mapping has been widely used by more and more schools and teachers in lesson preparation and discussion, classroom teaching and teaching management. It has gradually become a way to carry out thinking teaching and achieve A core teaching tool for structuring and logicalizing knowledge.

In every classroom teaching presented by famous teachers, children’s thinking can truly be seen, visualized, stimulate associations, let children’s thinking emanate, truly let learning happen, and let everyone The children’s thinking becomes active, thanks to Teacher Li’s wonderful class!

Teacher Li Baowei is the principal of Wenyuan Primary School in Lishui City, Zhejiang Province, a special teacher in Jiangxi Province, a model teacher in Jiangxi Province, and a certified mind map instructor. He put forward the teaching idea of ??"diagrammatic mathematics", aiming to make mathematical thinking visual and visible.

From the first time I listened to Teacher Li's class "Playing with Triangles", I was shocked. It turns out that mathematics can be learned in this way! Mind-blowing! From then on, I became obsessed with mind mapping and was deeply attracted by this teaching method and Teacher Li’s style and charm. As long as there is Teacher Li’s class, I will try my best to listen and learn from it at every opportunity! Walk on the road of learning with adoration and admiration.

A wonderful class began when Teacher Li wrote "Teacher Li is very (?)" on the blackboard. The second-grade children were originally a little timid and reserved, but Teacher Li's humorous questions immediately aroused great interest in the children, such as "Teacher Li is handsome", "Teacher Li is cool", "Teacher Li is very good". "Teacher Li is very funny", "Teacher Li is very beautiful"... There is no sense of distance in the strings of knowing laughter, and every student participates, "Teacher Li is very humorous", "Teacher Li is very smart", "Teacher Li is very gentle" "...The lovely children immediately fell in love with such a teacher! Just letting the children say one word or two words to describe the teacher has changed the way the children think, allowing them to think freely and enter search mode!

In a relaxed atmosphere, Teacher Li entered the wonderful class by saying, "You need to buy tickets to go to an amusement park. Can you think of several modes?" "Buy Tickets"

The mathematical information is 6 yuan for adults and half price for children. Under the teacher's prompts, after the students understood "half price", they asked questions based on the information and started learning. During the discussion between teachers and students, Teacher Li summarized the problems raised and displayed them with mind maps, so that students could have a targeted approach to solving the problems. In the first case, only adult tickets are purchased, in the second case, only children's tickets are purchased, in the third case, both tickets are purchased, and in the fourth case, "I want to buy" is expanded.

To solve the first situation, only buy adult tickets. 1. Ask questions: Inspired by Teacher Li, each student can buy as many pictures as he wants (within 10), but the questions must be asked in mathematical language, giving the children freedom to have a lot of ideas. Buy 9 pictures, buy 2 Zhang Youdu, and Teacher Li guided the students to write down the questions in a standardized manner on their own practice sheets. 2. Use pictures to represent numbers: Teacher Li said that he is used to drawing pictures when solving problems. He draws a circle to represent the adult ticket and writes 6 inside, so that the students understand that this means "⑥" for the adult ticket, which means that the adult ticket is 6 yuan. It aroused great interest among the children, and they quickly drew how many tickets they wanted to buy. 3. Solve problems by listing calculation formulas: Guide children to clearly indicate how many tickets to buy, which means drawing a few circles, which means how many 6's, and use multiplication to write the calculation formula of how many × 6; use addition to write the calculation formula 6+6+6+6...< /p>

It seems simple to draw and write, so that children have the ability to think and sort out problems in a structured way. Next, when solving the second problem, the students all expressed their excitement about trying it. In such interesting learning, every student can actively participate, sort out their own questions, and get a little joy of success! Solve the second situation with excitement and only buy children's tickets.

What questions does Teacher Li continue to guide the children to ask? Which symbol is better to use, how to draw pictures, and how to write calculation formulas, the students have already felt comfortable using it. At the prompts of Teacher Li, they drew triangles or other representations for children's tickets, and wrote 3 inside, so as to distinguish adult tickets. Each student has his or her own problem, and they are all trying to draw their own diagrams and write down their own multiplication and addition formulas for this problem. This kind of active learning is happening!

To solve the third situation, buy both tickets. Children who are always in a state of excitement ask a lot of questions, and their imagination has no ceiling. Such combination questions give children more to think about. At this time, you should pay attention to the meaning of each number. Do students really understand it? It expands students' thinking and allows students to create mathematical problems independently. At this stage, Teacher Li not only guides the children to ask questions, but also pays attention to the children's language expression ability, encourages, praises, and waits patiently. Even if she is anxious for the children, she still listens to the children's complete explanations. This is Teacher Li The style of teaching ensures that the initiative must be in the hands of the children! Give your children time and opportunity to express themselves completely! Worth learning!

? The fourth situation, I will buy it. It is to allow children to play freely, expand their imagination, and boldly ask mathematical questions. Buy an adult ticket, buy a child ticket, buy both types of tickets. When Teacher Li proposed that there are fixed numbers 6 and 3 in the calculation, and that the words "adult ticket" and "child ticket" should not appear in the questions he asked, but he meant adult tickets and children's tickets, the atmosphere in the classroom was high and there were all kinds of things. The question made everyone present laugh continuously, and the children also had their imaginations wide open. In the word game of "adult ticket" and "child ticket", grandpa turned out to be a half-price ticket. The freedom of thinking without the sense of restraint also reflects The childlike innocence!

An interesting mathematics class allowed us to see the visualization of thinking again, allowing children to learn the ability to structure thinking and sort out knowledge. Teacher Li's use of mind mapping in this class clearly shows the knowledge to be imparted to students and the abilities that they hope to achieve. Teacher Li integrated teaching materials and mind maps throughout the class, focusing on cultivating students' divergent thinking.

In the classroom, under the guidance of Teacher Li, the children can draw the knowledge they have learned. The active atmosphere of the class, the exploration and learning of imaginative thinking, two mathematical information, put forward Each person has different mathematical problems and uses his/her favorite icons to draw mind maps that make his or her thinking visible. It also allows children to experience that mathematics comes from life and use mathematical thinking to solve life problems! This is also a teaching class using mind mapping that is unmatched by the previous teachers I have ever heard.

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A wonderful mathematics lesson using mind maps brings us more thinking. What kind of classroom can really allow children's learning to happen and visualize children's thinking? What effect should a real mind map classroom achieve? After class, Teacher Li once again shared "The only difference between the question sense and the lesson sense is a mind map" and gave us the answer!

Mind mapping is a tool to express the thinking process, but its implicit educational philosophy is warm because its core is to respect the individuality and differences of each student. Education is to let students learn to think, and the purpose of mind mapping is to let students learn to think and respect every student. The core of respecting students is actually respecting their differences. Drawing a mind map is just the process of discovering differences in thinking. The core of education is to develop children's thinking. Thinking itself cannot be seen, and mind mapping can make implicit thinking explicit. "If you do it with your heart, it will be better" is the best explanation in Teacher Li's class. Children's imagination has no ceiling. This is truly making children's thinking visible!

I am fortunate to listen to Teacher Li’s exciting lectures, and the pace of learning never stops! Just like this time, we overcame a series of problems such as being late on the departure train and changing trains, having to rebook the ticket on the return trip, losing it and buying it again, and shutting down the mobile phone because it was out of battery, but we solved it in a busy and unhurried manner. Maybe this is Teacher Li’s teaching. And personality charm is the attraction of mind mapping!

? Never stop learning! This is a sentence that I have silently lamented countless times and reminded myself countless times.