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One of the basic ways to cultivate imagination is to listen to stories; In listening to a story, the accuracy of the wording is an essential factor in "producing the world". Albert Einstein said, "Imagination ......."More important than knowledge. Knowledge is limited. Imagination encompasses the world. ”
In addition to the use of many demonstrations, it is also necessary to manufacture many commonly used small learning tools, such as space quadrilateral, regular triangular pyramid, cube and other models, students can intuitively see a variety of "line line", "line surface" and "surface surface" relationship and its angle and distance, but also to construct a variety of graphics of the position relationship of the basic elements of space, and change training, in order to improve the ability of image thinking.
The research object of three-dimensional geometry is the space figure, for the convenience of research, we need to draw the space figure on paper or blackboard, because the surface of the paper and the blackboard can be regarded as a plane, so we need to learn how to draw the intuitive diagram of the space figure. The purpose of drawing intuitive diagrams is to solve the understanding and recognition of three-dimensional figures, strengthen the understanding of the properties of three-dimensional figures, and use graphical reasoning and argumentation, so as to cultivate students' interest in learning and good problem-solving habits. In the whole process of teaching, students should be guided step by step to master the general method of drawing intuitive diagrams, and there should be a plan to improve students' drawing ability, for example, drawing various shapes in three planes to divide the space into several parts.
Practice has proved that better graphics and drawing art can stimulate students' love for spatial graphics, the pursuit of logical reasoning and argumentation, and promote them to further grasp the essential characteristics of geometric figures, so as to achieve the ideal effect of mutual penetration and mutual promotion between graphics and reasoning.
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Have self-confidence, believe that you can do a good job, learn the basics, dare to think, imagine, analyze, summarize lessons and lessons, so that the level will be higher slowly, this is a process, you dare to be responsible for yourself, go and listen to it, and understand the reality.
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Spatial imagination is not only an indispensable part of imagination for everyone, but also an important way to exercise thinking and flexible brain power. So how do you cultivate spatial imagination? Ruide Youth Education will tell you:
Imagination is a new combination of existing images that are broken down. The development of students' spatial imagination is closely related to the perfection of their mathematical thinking quality. It can be said that cultivating students' mathematical thinking quality is the breakthrough point to improve students' spatial imagination ability.
The human brain is the material basis for cultivating spatial imagination.
Man's understanding of objective things is a process from perceptual to rational. The nervous system transmits these primitive information to the brain, and the brain analyzes, processes, identifies, and abstracts the essential things and expresses them in different levels of understanding. Some can describe external characteristics; Some can explain their internal characteristics and laws; Some of them can draw basic images, while others can distinguish and deal with the spatial position measurement relationship of complex combinations, reproduce their original appearance, and even imagine rich connotations and image characteristics.
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Hello, purposefully supplement students with basic knowledge of mathematics about spatial forms Learning the mathematical knowledge of spatial forms is the fundamental guarantee for cultivating students' spatial imagination ability, such as geometric knowledge, coordinate methods, geometric quantities, etc.
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Use your brain more and do the like.
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Playing the Rubik's Cube, interest is the best teacher.
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Ways to exercise spatial imagination and sensitive thinking skills:
1. Purposefully supplement the basic knowledge of mathematics about spatial forms.
Learning the mathematical knowledge of spatial forms is the fundamental guarantee for cultivating the imagination ability of bright space, such as geometric knowledge, coordinate method, geometric quantity, etc. The understanding of geometry can be deepened through quantitative analysis, which is conducive to cultivating students' spatial imagination ability.
2. Use teaching molds to cultivate observation and imagination skills.
Perceptual understanding is the basis for the formation and development of spatial imagination, through the observation and analysis of models and physical objects in the classroom, students can establish a perceptual understanding of space in their minds, form an overall image of space, establish a space skeleton, and then abstract it into a plane figure of space shape. While looking at the picture,
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Do more exercises for spatial imagination and cultivate it from an early age.
Parents who want to cultivate their children's spatial imagination can choose some construction toys and deformation toys to cultivate their children's abilities in this area while doing it. For example, this shape-shifting robot. Between the shape changes, the children will "make up" how the transformation is completed, which invisibly exercises their hands-on ability and spatial imagination.
Or building blocks, plasticine, can be a good teaching aid. No matter what kind of toy your child is playing with, you can add spatial vocabulary and talk to your child, "Can you turn this block upside down?" "Use spatial vocabulary to communicate more and help children upgrade their spatial cognition.
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Make a model out of wire or plastic materials, such as cubes or cuboids, so that you can see the sides that are not solid, and of course you can use solid objects when you have a certain amount of spatial ability.
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1. By enriching students' spatial experience, solve the difficult problems of geometry 2. Improve students' logical thinking ability through the study of reasoning geometry (1) Understanding the basic concepts of geometry is the premise of cultivating logical thinking ability (2) Learning and mastering geometric language is the key to cultivating students' logical thinking ability 3. Improve students' spatial imagination ability by cultivating students' mathematical thinking quality (1) Through one problem with multiple solutions, students can integrate the knowledge they have learned, and cultivate students' profundity and agility of thinking.
2) Cultivate students' creative thinking.
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Usually exercise more, see every detail of a car as carefully as possible, close your eyes and imagine the restoration, can't think of it and look at it again, often do it repeatedly, and improve quickly. It's not enough to just read a book, and imagination is controlled by its own spatial expansion. ]
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By constantly learning, participating in activities and asking questions.
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Guo Dunjun replied: 1. Observe and understand the pictures in real life scenes, and gradually learn to evaluate; 2. Learn to draw and paint, and understand three-dimensionality; 3. Improve their knowledge level more comprehensively; 4. Have dreams and fantasies. ]
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Draw more spatial maps by yourself, look at them more, it's good to be familiar with them, you must look at them more, you can do this and that....
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Look more at three-dimensional and three-dimensional objects. After observing, close your eyes and think for three minutes, then draw a rough perspective with a pen.
For some flat two-dimensional figures, imagine a realistic three-dimensional view of it. For example, if you have a cylindrical water cup plan, you can imagine or draw a three-dimensional perspective view of the water cup.
For some uncomplicated three-dimensional objects, after reading it. You try to break it down with your eyes closed, and then draw a three-dimensional perspective of the breakdown. For example, if you see a building, it has a cone shape at the top, a cylinder and a cube in the middle, and a trapezoidal shape below. You just break it down.
Over time, you will see that the plane is still three-dimensional, and when you close your eyes, you can roughly think of a computer perspective, and you can conditionally reflect the specific situation in your mind.
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