How should children s mathematical thinking be cultivated? How can children learn math thoroughly?

"Hongen Baby Learns Mathematics" is a set of early childhood mathematics education products with a relatively complete system and comprehensive content. It builds a teaching system around the knowledge points of mathematics education, fully demonstrates the unique style of mathematics education, and takes into account the age characteristics of children, and selects a large number of familiar life situations and materials to increase the interest and acceptance of learning.

Parents develop their children's mathematical thinking. 1.Starting from the actual needs, let the children think about how to save money in real life.

2.Teach your child to find a breakthrough in the problem. 3.

Analyze some practical typical cases for your child. 4.Help children choose some books and tools related to logical training, and summarize the benefits of logical thinking.

5.Encourage your child to ask questions. Learning mathematics well is first of all the basic knowledge, including the learning of feelings, theorems and formulas, and problem solving, and the second is to cultivate children's interest in mathematics, so that children can understand mathematics.

First of all, you can buy some books about mathematics to cultivate children's interest in mathematics, and then you can use mind maps to let children learn thoroughly and learn well.

The cultivation of mathematical thinking is graded from low to high according to the receptive ability. Learning math thoroughly requires grading, many times. The first foundation, the second consolidation, the third promotion, and the fourth expansion.

The first is the ability to observe and ask questions, the second is the ability to geometry in space, the third is the ability to calculate, the fifth is the ability to massage, and the sixth is the ability to summarize and summarize.

It is often said that children's mathematical thinking needs to be cultivated from an early age, and there is no way to cultivate it when they grow up. First of all, it's not that there is no way to cultivate when you grow up, it's just that it is very difficult to cultivate.

So, how should we cultivate children's mathematical thinking from an early age?

Parents often ask teachers how to cultivate their children's mathematical thinking, but their children's math scores can only pass. One thing that is very certain is that if your child is poor in math, then there is no need to talk about mathematical thinking at all.

Because mastering the most basic mathematical knowledge is the foundation for cultivating mathematical thinking. If the foundation is not built, how to build a house, no matter how good the designer designs the house, it will not be able to give full play to its value.

In addition, if there is no way to master the basic knowledge of a child's school, it means that the child's learning may have problems, and it is easy to backfire by rushing to cultivate mathematical thinking at this time.

Many parents enroll their children in a lot of courses that can cultivate their children's learning thinking from an early age, but they find that there is no effect. To cultivate mathematical thinking, it is not a child who goes to an amusement park to play, and children are naturally interested in the playground, but they will not be naturally interested in mathematics.

Therefore, in the early stage of cultivating children's mathematical thinking, it is necessary to let children feel the joy of this matter through some small games or activities that children are more interested in.

Because a child at this stage does not know what benefits developing mathematical thinking will be for him, whether he is interested or not becomes a key factor in whether he is willing to learn. Only when the child is willing to learn will it be effective.

To cultivate mathematical thinking, you can take children to see the stories of some more famous mathematicians, because mathematicians find that the story of an event can not only attract children, but also reflect the formation of the whole mathematical thinking in this process.

First of all, it is necessary to cultivate children's sensitivity to numbers, secondly, invite professional teachers to teach children, and then take children to participate in more activities about mathematics, so as to cultivate mathematical thinking.

If you want to exercise your child's mathematical thinking, you must let your child learn to think rationally, pay attention to cause and effect in everything, don't make trouble unreasonably, and let your child know that everything has a reason.

At ordinary times, children should be made independent, and they should also pay attention to their growth, because only in this way can problems be avoided, and at the same time, children will have better development and more help for their future.

First of all, the cultivation of children's mathematical thinking should be combined with the characteristics of children's cognitive development. The Singapore Mathematics CPA teaching method is based on Bruner's three-stage representation theory of children's cognitive development, the C-Concrete in the CPA teaching method stands for concrete, P-Pictorial stands for visualization, and A-Abstract stands for abstraction. The process of mathematics is full of creativity and vitality, so as to improve children's ability to solve problems with mathematical thinking.

Secondly, when parents accompany their children for mathematical thinking training and enlightenment, they can also follow the three stages of concrete-image-abstract. For example, we use concrete things in life (such as fruits, eggs, matchsticks, mineral water, etc.) to help children understand the abstract concepts of mathematics.

For example, in the process of learning and initiating graphics, take out triangles and circle building blocks for children to touch, let children know the basic graphics, and then find the use of these geometric figures in life: the suitcase is rectangular, and the lid of the water cup is round.

For example, in the exercise: 2+3=? When adding, the number of fruits will be displayed visually, 2 apples and 3 peaches together, how many fruits are in total?

Transform abstract numbers into familiar objects for children, and turn abstractions into concrete images, so that children can feel the connection between numbers and life.

From the concrete to the figurative, we have understood the main points of the problem, and then we will solve the problem thoroughly from the mathematical aspect. This process from figurative to figurative and then to abstraction seems slow, but it allows children to really learn the essence of mathematics, know what it is, and know why it is, which is the foundation of mathematical thinking. Therefore, when parents accompany their children to initiate mathematical thinking, let them do hands-on calculations and think actively in problem situations, so as to construct their own experience and promote the development of their cognitive ability.

Method: The game is fun and useful to experience math.

Set goals for your child's math learning.

The content of children's learning mathematics is close to life, natural infiltration, protection of interest, perception and experience of mathematics everywhere.

Pay attention to mathematical language, learn to describe, pay attention to thinking, discover patterns, and try to create new permutations.

Parent-child games improve the ability to recognize spatial orientation.

Guided with the help of math picture books.

Encourage and support children to use mathematical thinking to solve problems.

Extension: Thinking characteristics of children aged 3-6:

From mainly with the help of perception and movement, to mainly with the help of appearances, and then to with the help of concepts.

From intuitive action thinking, to concrete and visual thinking, and then to abstract logical thinking.

From reflecting the external connection and phenomenon of things to reflecting the internal connection and essence of things.

From reflecting the present to reflecting the future.

Here's how to develop your child's mathematical thinking:

1. Read more books: The Soviet educator Sukhomlinsky once said in "Advice to Teachers": "The more a student reads, the clearer his thinking will be, and the more active his intellectual power will be."

The effect of reading is not only to enrich cultural accumulation and improve language literacy, but also to help children ignite the spark of thinking, expand their horizons, deepen their thinking, and improve their learning ability.

2. More guidance: Activeness and strong curiosity are common characteristics of primary school students, and they are willing to try anything by themselves. Therefore, parents can arouse students' interest and concentration through hands-on operation and multi-sensory participation activities according to their curiosity and active characteristics in teaching.

3. Praise children: The role of praise is greater than you imagine, and parents must not be stingy in praising their children. Praise makes children more confident. As long as parents praise them, their children's potential in mathematics learning will be greater.

4. Watch movies about mathematics: In the eyes of many children, mathematics is just a cold and boring subject full of formulas and calculations. In school, children often only care about studying problem-solving routines, and can only perceive the rationality and rigor of mathematics from the sea of questions and mathematics competitions.

5. Play more: Poor math scores may be due only to carelessness, but the naughty boy's multiple intelligences in childhood are far more thorough than those of a good girl, and his deep thinking ability is far stronger than that of a good girl. If the foundation is firmly laid and the foundation is deep, it will naturally overtake in high school, and the math edifice will naturally rise higher.

6. Mathematics in life: There is a general way to educate children is to educate children in daily life, for example, when taking children to buy vegetables, you can let children help themselves calculate how much money they spent on buying vegetables today, and I believe that children are also very willing to help our families share these problems. Therefore, we should teach children to learn mathematics in their daily lives, that is, to integrate mathematics throughout their lives.

The cultivation of mathematical thinking ability should be combined with children's learning ability at different stages. Children generally go through these stages when learning mathematics:

Shallow stage (before the age of 3): Thinks that numbers are just one word.

Beginner stage (3-6 years old): The amount of items, e.g. "I ate 4 blueberries".

Intermediate stage (6-9 years old): the relationship of things, such as 4 o'clock always comes before 5 o'clock.

Advanced stage (9-12 years): These quantities can be compared not only with each other, but also with manipulation.

Deep stage (after the age of 12): Numbers are symbols of quantities that can represent anything, and anything can be quantified by numbers. Therefore, parents do not need to deliberately let their children learn to count and calculate, but only need to teach their children the "mathematics" in life by playing games, overcome the limitations of visual perception, and have a certain understanding of quantity.

In the preschool stage, the baby can be about three years old, and gradually establish the concept of mathematics naturally and smoothly in life and games. At this stage, it is recommended to combine the L1-L3 stage of the [Number Sense Academy] of the Number Sense Planet to enlighten children's mathematical thinking.

In the early transition stage, children are 5-6 years old in the early school mathematics learning stage, the real mathematical thinking training begins, at this time the child's brain through the pre-operation stage, has a certain understanding of the relationship between things, at this time, as long as the parents choose the right way of enlightenment, not only within 10 addition and subtraction or simple multiplication and division, children can also do it gradually. At this stage, it is recommended to combine the L3-L4 module of the [Number Sense Academy] of the Number Sense Planet for children's mathematical thinking training.

In the school-age stage, children have entered the primary school mathematics learning stage, in addition to the school's fixed curriculum to learn knowledge, the main purpose is to stimulate children's interest and improve children's ability to actively explore and learn. It is suggested that you can combine the [Synchronous Practice] module of the Number Sense Planet with the primary school textbook for review, and use the [Number Sense Academy] L5-L6 module for preview and mathematics interest stimulation.

What is Mathematical Thinking? How should children develop mathematical thinking?

The cultivation of children's mathematical thinking ability is a process that requires long-term perseverance. Moreover, the focus and method of training vary greatly at different ages. Specifically, we can discuss from the following aspects.

The reason for this is that thinking is a reflection of the human brain's indirect generalization of objective reality. It includes two main characteristics: indirectness and generalization. Mathematical thinking is not a knowledge, but an ability, or something more popular, a feeling.

Everywhere (Albert Einstein). Mathematical thinking includes logical thinking, visual thinking, spatial abstract thinking, etc. The time for the development of thinking is about 2 years old, and before the age of 2 is the preparation period for thinking.

Early children's thinking is dominated by intuitive behavioral thinking, which mainly relies on perception and movement. In the middle stage, children's thinking is mainly based on concrete image thinking, which mainly relies on images and appearances. Abstract logical thinking begins to sprout in late childhood, mainly relying on vocabulary generalization.

4 12 years old is the best initiation period for children's mathematics education, and 12 18 years old is the best development period. At this stage, the cultivation of mathematical ability has a decisive impact on the cultivation of children's way of thinking.

Mathematical Thinking Training Methods for Young ChildrenChoose Appropriate Mathematical Thinking Training in LifeMathematical Thinking Training for Young Children in LifeFor example, guide young children to choose their favorite clothes and pants, and guide children to choose what color tops and pants to choose. Temporarily infiltrate the thinking training of mathematical collocation. Through fun games, train children through places of family life, for example, let's say that one of the rooms in the house is the destination.

There are several buses for children to get here. It takes a few minutes to get from one home to another, and with as many cars and license plates as many as you can see in between, have your child read the license plate number aloud, or add it quickly. It trains children's mathematical and logical skills.

You can buy puzzles, toys, book blocks, etc. Let children experience the fun of success, cultivate children's interest in mathematics, build confidence in mathematics learning, and let children like mathematics.

Mathematical Thinking Training Methods for Teenagers Learn mathematics well, travel around the world, and not be afraid" is a classic mantra that is enshrined as a teacher, so that the training of teenagers' mathematical thinking can be integrated into daily learning. Change thinking training, when encountering obstacles in the process of learning and solving, encourage children to change the direction of the problem and change the problem from one form to another from different perspectives. Find the best way to make the problem simpler and clearer.

Learn logical thinking training, every move, and be flexible. After the child has completed the homework, parents can encourage the child to explain the difficult problem of the math homework and can also explain the process to the student. In this explanation process, the children's logical thinking ability is exercised.

Through the understanding of concepts, comparison, analysis, and comprehensive judgment of question types are carried out, and the thinking process of reasoning is trained. 3.Reverse and Innovative Methods Training:

Let the thinking think in the opposite direction of the problem, explore the opposite side of the problem, and come up with a different solution. Learning to apply mind maps, stringing together knowledge, and making mind maps, in the process of making mind maps, greatly trains children's summary and analysis skills.