I suggest you try He Qiuguang's pre-school mathematical thinking training.
Children's mathematics learning is mainly divided into six modules:
1, * * *: Teach children to learn classification, help them perceive the meaning of * *, and gradually form the concept of * * * about specific things, which is the premise of counting, the basis of forming the concept of numbers, and the preparation of children's mathematical ability.
2, counting: children always start with oral counting, and then combined with physical counting. From meaningless numbers to mastering the actual meaning of numbers, we should know, understand and use numbers, and finally form the concept of numbers.
3. Quantity: By learning the sum of * * *, children perceive the exact quantity from inaccurate * * *, which is the transition from concretization to visualization, laying the foundation for the concept of addition and subtraction.
4. Shape: In the early days of children's mathematics enlightenment, in addition to addition and subtraction, there is also the study of geometric figures. Geometry occupies a very important proportion in mathematics and has a very important influence on the development of children's three-dimensional thinking.
5. Time: Children's understanding of clocks can help them form a concept of time, help them develop good regular living habits, and help them cultivate a concept of punctuality, which is of great significance to their growth. connect
6. Space: Spatial thinking refers to the ability to understand the shape, position and spatial relationship of objects through imagination and visualization, and to form new visual relationships. Spatial thinking can effectively help children learn geometry and other types of problems, and play a role in developing their brains. Children with spatial thinking can jump out of the limitations of point, line and plane and think three-dimensionally from multiple angles, which will have a far-reaching impact on their future social development.
Use the language that children can understand, topics and games that they are interested in, from concrete to abstract, and really cultivate children's mathematical thinking! Let every child love math!
What is the difference between thinking mathematics course and traditional mathematics course?
First of all, as an effective supplement to domestic mathematics education, thinking copy mathematics course makes up for the deficiency of school education form exploration, and replaces the traditional learning method of repeating exercises and brushing questions through various forms such as war activities, mathematical games, teaching aid operation, picture book stories, interesting questions, architectural combinations and multiple representations.
What abilities can children improve by taking part in mathematical thinking courses?
Cultivate children's top ten mathematical thinking abilities;
Children's mathematical thinking ability should be exercised from an early age, which will help children's intellectual development after preschool, affect their future mathematical learning ability and directly affect their mathematical achievements.
Let's take a look at how to effectively cultivate children's ten thinking abilities: quantity, calculation, classification, * * *, time, space, correspondence, sequencing, abstraction and solving.
0 1 quantity
Including singing and counting. The number of songs is 1, 2, 3, 4, 5 ... Counting is how many children can find it, such as how many fingers there are. Both parents pay more attention to it, but often ignore the other one-measurement, including the perception of scales, weights and other units.
You might as well take the time to take your child with a stick and measure the length of the runway, or measure the width of the pencil box with a rubber, so that he can know that the measurement is measured in units, and this unit is unified, so that he can understand and feel the unit with the simplest measurement.
02 calculation
Most parents may teach their children to add and subtract by snapping their fingers, which is not enough. We don't advocate that children must learn to calculate from an early age, but let them understand more in the process of calculation, instead of memorizing.
For example, Xiaoming has 10 candy, and Mao Mao has 8 candy. How many candy does Xiaoming have more than Mao Mao? Doudou has 20 pieces of sugar. He gave the children eight pieces of candy. How much is left?
Although subtraction is used, it is actually different. The former is comparative and the latter is residual. It is important for parents to help their children understand their differences, not to work out the final result.
03 classification
In order to develop children's thinking, we must attach importance to diversified classification. For example: a triangle, a circle, a triangle, you will classify triangles into one category; But change these three things, a blue triangle, a red circle and a red triangle, and classify the red ones not only by shape but also by color. This is the diversified classification.
Can better exercise the clarity of children's thinking. However, when children just come into contact with a new concept, such as height, height, thickness and thinness, they can make a single classification first, and then start a diversified classification after these concepts are formed.
04 ***
Since primary school, all calculations and concepts are based on * * *. If the concept of * * * is clear, it will be much better to solve the problem in the future.
For example, Xiaoming has 10 candy, Mao Mao has 8 candy, and Xiaoming's candy and Mao Mao's candy each have a * * *. By comparing and subtracting two * *, it is concluded that Xiao Ming has more sweets than Mao Mao. When children perceive * * *, they can analyze the correlation or complete difference between the two * * *, which is also helpful for classification.
05 time
In addition to knowing the clock, let the children know where the pointer goes 10 minutes. Let him feel the time and feel for himself how long 10 minutes is.
06 space
In addition to letting children feel up, down, left, right, back and forth, they should also cultivate their spatial construction ability.
Games like building blocks and puzzles are all about space construction. Building blocks are random, creative and three-dimensional space construction; It is a purposeful plane space construction to figure out what kind of pictures to put together in advance before the puzzle.
07 communication
Cats correspond to puppies, puppies correspond to animals and so on. And finding the same and related correspondence is an online game that parents often arrange for their children.
In addition, spatial correspondence is relatively lacking. In fact, the teacher arranges seats and lists a seat map on the blackboard. The students below find their seats according to the table. This is the spatial correspondence.
08 classification
Now parents pay more attention to children's circular sorting, such as triangle, circle, triangle and circle. Below you will know how triangles and circles go.
However, there is also a sorting ability, which is "which ranking". For example, letting children line up, which one goes from left to right and which one goes from right to left, and letting children sort some things from big to small or from high to low can enhance children's perception of ordinal numbers, which is closely related to future mathematics learning.
09 abstract
The meaning of abstract thinking is no longer discussed, how to cultivate it? For a simple example, parents can ask their children, "What do you think is the difference between what mom wears today and what she wears in peacetime?" Children should analyze the differences by thinking and comparing information one by one.
10 solution
The ultimate goal of mathematics is to solve problems. It is never used for reciting like language, and it is more reflected in the process of children solving problems. The process is the most important, but the result is not the most important.
Therefore, when you let your child solve a problem, you should leave him some room to think, and think for himself, without seeking results.
Will you take a training course in mathematical thinking?
Children's mathematical thinking training can be carried out from the following four aspects.
1, conversion type
This is a way of thinking to solve problems when they are blocked, and to change problems from one form to another when they are blocked, making them simpler and easier to solve. In teaching, this kind of training can greatly improve students' problem-solving ability.
2. System type
This is an advanced holistic thinking form, which considers things or problems as a system from different levels or different angles. In addition to comprehensive application problems, senior three can also compile many intellectual training questions to cultivate students' systematic thinking ability.
3. Enhanced type
This is a jumping, lively and highly transferable thinking form. Teachers can train students through quick questions and answers.
4. Analogy type
This is a form of thinking to identify the similarity and essence of parallel things. This kind of training can cultivate the accuracy of students' thinking.
What kind of course is good for mathematical thinking training?
The mathematical thinking course of spark thinking mainly cultivates thinking ability and study habits, and the interest in learning mathematics will be better. The children liked it after listening to it, and it was good after a while. Children say they like playing games and can learn from them.
What are the teaching characteristics of thinking mathematics course with integrated education?
Form: vivid and diverse, to ensure that children establish a strong interest in mathematical inquiry;
Knowledge: pay equal attention to construction and application, drive understanding by operation, drive practice by interest, truly understand the true meaning of knowledge from thinking and build a complete knowledge system;
Thinking: cultivate children's creative and rigorous way of thinking, improve children's strategic and flexible thinking, and develop children's ability to solve practical and unconventional problems.
Is the training course of mathematical thinking useful?
Of course it works. Last week, I took my children to a thinking math class. A week later, all the children fell in love with math. You can take your child to experience it. One in Beijing is Pei Fei's thinking mathematics. That's how I reported it to my children. It's good.
How to write an article about college mathematics thinking and innovation?
Due to the limitation of class hours, mathematics courses in colleges and universities often focus on imparting knowledge, but have less right to cultivate mathematical thinking, especially innovative thinking. In view of this situation, our school has set up the course of mathematics and innovative thinking, organically combining mathematics content with innovative thinking, taking mathematics knowledge as the carrier, paying attention to cultivating innovative thinking, improving students' interest in learning mathematics and cultivating innovative thinking. This paper mainly introduces the background, teaching practice and achievements of the course Mathematics and Innovative Thinking, which provides useful reference for the popularization of this course.
Mathematics is the gymnastics of thinking. Cultivating students' good thinking quality, especially creative thinking ability, in mathematics teaching is an important content of quality education. Therefore, teachers should actively explore teaching methods aimed at cultivating students' innovative consciousness in teaching. On the premise of completing the teaching tasks stipulated in the syllabus, according to the same, similar or opposite knowledge factors in the teaching materials, or knowledge with some internal relations, students are guided to cultivate creative thinking methods and creative thinking abilities through various thinking modes such as association, analogy, seeking common ground and seeking differences.
Innovative thinking has become the soul of teaching and learning in the new curriculum reform and the core of implementing quality education; The field of mathematics contains rich innovative educational materials. Mathematics teachers should study hard, be good at using, actively explore, cultivate and train students' creative thinking ability according to the laws and characteristics of mathematics.
What is the curriculum system of Peifei's thinking mathematics?
A Better Course of Mathematical Thinking on the Internet
I recommend you to take a photo of mathematical thinking and spark thinking online. You might as well take a picture of the teacher, focusing on the process of the teacher guiding the children to think and inspire. Children who do spark thinking animation love to watch it, depending on how you choose. I signed up your child, and you started learning when you were one or three years old. It has been more than a year now, and the subtle influence is particularly great.