Question 2: How to make a mathematical mind map?
Question 3: Why do primary school mathematics teaching need mind mapping? Mind mapping is also called mind mapping. Its basic premise is that "the language of brain thinking is graphics and association", which is the natural function of human thinking. It is a very useful graphic technology, always starting from a central point, each word or image itself can become a sub-center or association, and the whole combination radiates from the center to the periphery in endless branches, or belongs to a common center. It can mobilize the logic, sequence, words, organization of the left brain and the image, imagination, color and space of the right brain to participate in thinking and memory, and turn the traditional one-way dominant thinking into multi-dimensional divergent thinking. It can be applied to all aspects of life and study, can clearly show the connection between thinking process and things, and can improve people's learning ability and behavior.
Mind mapping presents a thinking process and an expression of radioactive thinking. From the perspective of creative methods, it mainly starts with a central word. With the deepening of thinking, it associates a series of related things and then forms an orderly schema. Tony? Bozan believes that mind mapping has four basic characteristics: (1) The focus of attention is obviously focused on the central figure; (2) The main part of the theme radiates from the center to the periphery as branches; (3) A branch is composed of a key person or keyword written on the line that produces association, and less important topics are also expressed in the form of branches, which are attached to higher-level branches; (4) Each branch forms a connected node structure. Therefore, the mind map is a tree structure in the form of expression. Learners can improve their divergent thinking ability with the help of mind map, clarify their thinking context and review the whole thinking process through schema. Mind mapping is not only a practical graphic tool, but also a visual knowledge representation tool. It uses colorful colors, graphics, codes, symbols and other elements to vividly express boring and monotonous text information, constantly arouses our brains, stimulates our associations and expands our imagination space with strong visual impact.
The application of mind mapping in primary school mathematics teaching not only has the powerful advantages of learning tools, but also conforms to the learning thinking process and cognitive characteristics of primary school students. On the one hand, mind map can transform tacit knowledge that is difficult to express into visual explicit knowledge through images, colors and other means, so that primary school students can understand tacit knowledge well in the process of learning. On the other hand, in the process of learning, students can construct their own knowledge structure, process and sort out mathematical concepts, and participate in the discussion of mathematical problems, so as to achieve in-depth understanding and application of mathematical knowledge, cultivate students' thinking ability in images and information processing ability, and maximize their potential.
First of all, as a tool of instructional design, it is used in conceptual knowledge teaching.
Teachers can use mind map to summarize and sort out the contents of mathematics teaching, highlight the key and difficult points of teaching, show the main concepts and principles of mathematics in an intuitive way, concisely express the logical relationship of concepts, present the status and correlation of concepts, and let students find the differences and connections between concepts, thus improving classroom efficiency. Learning and understanding mathematical concepts is the first step in learning mathematics. It is the cell that constitutes abstract mathematical knowledge and the first element of mathematical thinking. According to incomplete statistics, primary school students need to master more than 500 mathematical concepts. These concepts form the basis for them to master the whole mathematical theory system in the future. The higher their understanding of the concept, the smoother their subsequent knowledge learning. However, in the actual teaching and learning, teachers have some problems in the teaching of concepts, and students ignore the mastery of basic concepts, unable to form a knowledge network of basic concepts, and unable to deeply understand the relationship between concepts. In the process of learning new concepts, the introduction of mind map can enable students to clearly understand the occurrence, development and extension of the concepts they are currently learning on the basis of their original knowledge, further communicate the relationship between concepts, and carry out meaningful learning by taking the initiative to explore, thus promoting the integration of mathematical concept knowledge and forming a coherent cognitive structure in their minds.
Second, as a tool of creative thinking, it is used in problem-solving teaching.
The process of making mind maps is actually the process of students' creation. Students have a wider imagination and can design mind maps according to their hobbies. In the process of making, students have to think a lot, and they will produce new ideas in their minds at any time, which is conducive to cultivating students' innovative spirit and practical ability. From the perspective of primary school mathematics, problem solving means that teachers ...
Question 4: How to draw a mathematical mind map? First, put the paper horizontally, so that it is wider. In the center of the paper, draw a central image that can represent the theme image in your mind, such as the title of a math chapter.
When drawing, you should start from the center of the figure and draw some thick lines that radiate around. Each line uses a different color, and these branches represent the main idea of your theme. For example, draw the title of the main content of this chapter.
Next to each keyword, draw a picture that can represent it and explain it. Then expand the content, such as concepts, properties, commonly used formulas and so on.
Expand this mind map with association. Continue to improve
Question 5: How to draw a mathematical function mind map How to draw a mathematical function mind map?
In the practice of mathematics teaching for many years, I have encountered many problems and am puzzled. Although attempts have been made to solve these problems, little has been achieved. For example:
(1) Teachers explain many key concepts, theorems and laws in mathematics in different ways. Most students understand them at that time, and then they will soon be blurred or even forgotten.
(2) In the face of heavy learning tasks, some students feel tired of learning, and they do as the teacher says. If the teacher doesn't talk, they don't know how to learn, and their autonomous learning ability is poor. There is no feedback, no arrangement, no doubt about the knowledge learned, messy relationship between knowledge points, lack of overall knowledge;
(3) Many students can solve familiar problems, but they can't start with new problems, lacking the ability to use knowledge and creative thinking.
The reason is that junior high school mathematics has a wide range of knowledge and involves many contents. Many students feel that mathematics knowledge is scattered and complicated, and it is difficult to sort out the clues and internal relations between mathematics knowledge. Therefore, they can only pile their mathematical knowledge in their heads in disorder and will not apply it. I wonder if there is a teaching mode that can organize mathematics knowledge in an orderly way, improve students' learning efficiency and cultivate students' good thinking quality? With these puzzles, I began to think for a long time, collect all-round Chinese and foreign materials and conduct research and analysis, and constantly examine and study these issues from the perspective of educational theory and learning theory.
I read Tony? Bazin's three books on mind mapping: mind mapping-10, ways to awaken creative genius ①, mind mapping-instructions on brain use, mind mapping-10, ways to improve language intelligence I read the discussion on mind mapping in Revolution of Learning and tried the methods introduced in the book. What motivates me most is Tony? Bozan's book and his views, he said: "The human brain is like a sleeping giant, and we only use less than 1% of our brain power. A normal brain memory capacity has a total knowledge of about 600 million volumes, which is equivalent to 6.5438+0.2 million times the storage capacity of a large computer. "
"If human beings play half their potential, they can easily learn 40 languages, memorize a whole set of encyclopedias and get 12 doctoral degrees."
The essence of mind mapping: promoting the rational application of left and right brain, promoting the potential development of brain, intuitively showing the thinking process of brain, improving one's thinking level, changing one's thinking mode and thinking mode, accepting new things with an open mind, and making one's study and life easier.
Since mind mapping tools and ideas based on thinking visualization's principles were introduced into the field of education, they have had a positive impact on the teaching process. In particular, the learning process based on mind map well embodies the concept of constructivism learning theory and the characteristics of flexible interaction, which is in full swing in foreign primary and secondary education reform practice projects. Research shows that mind map provides a thinking framework for students, which can optimize the learning process and is an effective way to cultivate students' thinking ability. At present, in the field of foreign education, students of Harvard University and Cambridge University are using mind mapping as a thinking tool for teaching. In Singapore, mind mapping has basically become a compulsory course for primary and secondary school students, and it has been recognized by more and more people to improve their intellectual ability and thinking level with mind mapping.
Using mind map as a thinking tool and drawing mind map according to knowledge module will help users to understand and grasp the important concepts and knowledge system of this unit as a whole. Generally speaking, people who are good at learning have strong summing-up ability. If you want to have deeper thinking and understanding in learning, you must learn to connect seemingly scattered knowledge points into a network, so that the knowledge you learn can be systematic, regular and structured. Using the concept of hierarchical line connection, we can prompt the key points of knowledge, construct the connection between multiple knowledge points, quickly promote the integration of knowledge, and help to form a knowledge system, thus improving the efficiency of learning and memory. These related books and the materials I consulted gave theoretical support to my idea, and I want to turn my teaching idea of junior high school mathematics mind map mode into reality.
Mathematical mind map is a very useful method to help mathematics learning with graphics. Harry, an American graph theory scholar, famously said, "A thousand words are not worth a picture. That's what I said. Mind mapping is a learning interaction model derived from brain physiology. People are born with radioactive thinking ability and multi-sensory learning ability. On the one hand, it can show the process of thinking, on the other hand, it is also beneficial ... >>
Question 6: How to draw the mind map of primary school mathematics and search on the Internet?