How to Help Children Inspire Mathematical Thinking
Studies have proved that children will have a "mathematical sensitive period" around the age of 4. They will suddenly have great interest in the concept of numbers, such as numbers, numbers, quantitative relations, arrangement order, number operation, physical characteristics and so on. And have a strong thirst for knowledge about their own changes, which indicates that the child's mathematical sensitive period has arrived. \x0d missed this "sensitive period of mathematics". Some people are afraid of mathematics all their lives. X0d training misunderstanding 1: Mathematics equals arithmetic \x0d training misunderstanding is one of the misunderstandings of learning content. The main contents of children's mathematics should include: helping children understand the concept of numbers, knowing simple geometric shapes, learning the spatial and temporal relations of things, and some simple mathematical operation skills (such as natural measurement). These aspects are very important and indispensable. While developing children's logical thinking, they also develop children's observation, attention, memory and spatial imagination. The second misunderstanding of X0d training: mechanical training, memory formula The second misunderstanding of X0d training lies in the misunderstanding of learning methods. These trainings can all see obvious effects in a short time. On the surface, children can really master some specific mathematical knowledge. But his thinking structure has not changed. In other words, children have not been substantially developed. The most effective way for children to learn mathematics is to learn by operating materials. Piaget once said that mathematics begins with the movements of objects, and parents must present abstract mathematical knowledge to their children in a concrete and vivid way, so that children can easily understand and master it. Therefore, hands-on operation is an important way of children's mathematical thinking. \x0d In view of these training misunderstandings, parents should start to cultivate their children's mathematical thinking from the following aspects. \x0d 1。 Stimulate children's intrinsic learning motivation with mathematics in life. \x0d Children's intrinsic learning motivation comes from their interests and needs. Therefore, if children are interested in something or have questions, we should guide them to learn actively, consciously create problem situations, and guide them to think, guess, discuss and practice. Stimulate children's intrinsic learning motivation, make them feel the importance and interest of learning from each other, and make them more active in mathematics learning. \x0d2。 Grasp the sensitive period of mathematics and develop mathematical thinking step by step \x0d Montessori deeply understands the human learning process, from simple to complex, from concrete to abstract; Therefore, in the face of the purely abstract concept of "mathematics", the only way to make children feel relaxed is to start with concrete and simple objects. Through sensory training, children can further learn the abstract understanding of "number" from the actual experience of "quantity", from less to more, into the calculation of addition, subtraction, multiplication and division, and gradually cultivate children's first, to know more or less, big or small objects, naturally associate with the relationship between concrete and abstract. \x0d3。 Clever selection of operating materials, guiding children to operate and developing mathematical thinking \x0d Mathematical thinking is produced by interaction with material materials in activities, so in family mathematics activities, we should consider the enthusiasm that can arouse children's thinking when selecting materials. Prevent business activities from becoming a mere formality. Parents can provide diversified, multi-level and multi-functional activity materials for children to choose freely, and ensure the time for children to actively operate and explore. Inspired by parents, let children operate with problems and learn and explore at their own level. This will not only improve children's ability, but also give full play to their subjectivity. \x0d Montessori mathematics adopts the game mode of material operation. A large number of operational materials are provided, and the situation, tasks, gameplay and rules are given. Children can complete the game process by manipulating materials. With the support and guidance of parents, children can actively construct their own experience and knowledge and form their own cognitive structure and thinking system. \x0d When sorting, give the children three long sticks of different lengths and make them line up. Observe that children may line up horizontally. It can also be arranged vertically. Don't be too busy correcting him. Because children have the ability to compare and judge the order of long sticks, but they don't know how to arrange them correctly. Parents can try different arrangements with their children to help guide them to get the correct sorting form, such as long and short rows, high and low rows and so on. You can also add two long sticks to your child when he has mastered the above ranking. Tell him to reschedule. On the basis of children's existing sorting experience, help children sort out the method of comparing the length of one end and the method of comparing the height with the horizon as the standard line, so that children can gain perceptual experience about sorting. \x0d If children are asked to "classify graphs", parents should first show their children two graphs with different colors and the same shape and compare them with two graphs with the same color and different shapes. Help children understand the meaning of "the same" and look for the different characteristics of these graphics. On this basis, parents give their children a set of graphics to guide them to classify independently from different angles such as shape, color and size. In this way, children can gain perceptual experience about classification through their own operations and promote the development of mathematical thinking. \x0d These operational materials are realized through children's various sensory perceptions.