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/kloc-several processes of children aged 0/-6 entering the mathematical world from play.
First, the back number and points.

Reciting numbers is not the same as counting points. When reciting numbers, children just recite jingles, enter 9+ 10, and you can recite them with a little attention. Counting requires consistent hands and mouth, such as counting while pulling beads or counting while putting building blocks. Before the second and a half wind, children's hand movements are not flexible, and their hands and mouths are often inconsistent. By 33-36 months, the flexibility of hands is gradually enhanced, and half of the children can display 12 according to the number of mouths 6-8. After 4 years old, counting with 10 bead counter can reduce the error in carrying. On average, children aged 4-5 can count to 40-45 in the same place in their hands.

Second, according to the number.

At the age of one, almost all children will take 1 according to the requirements of adults, and about half of them can take two according to the instructions. When I was two years old, I could take almost three. Even if I can count back to 30 and count to 10, taking three from the number is the most accurate quantity. When I took four, I cited a lot of unclear figures. But by the age of two, the children know that three have taken 1 and there are two left, and two have taken 1 and three have been left. I also know that there are three sides that are "as many". You can tell which side is more within three.

At the age of 3, most children will eat four, and some will eat five. At the age of 4, almost all children will eat five or six, and some will eat eight to 10. How many do you want to take and add and subtract in these few? Children aged 5-6 will get 10, and about half will get 20. A group of five children can get 100. 5-6 years old will make great progress within one year. If you start playing some guessing games at the age of four and a half, by the age of five, almost all the children in the group can get 100, and it is possible to add or subtract within 100.

Taking numbers by numbers is the upper limit of children's real number recognition, and there are indeed great individual differences within this limit.

Third, learn to recognize numbers.

From 19 months, a few children will refer to1on the calendar; At the age of two, 72% of children will point to the calendar and say 1 and 8; Before the age of 3, 40% children have learned to recognize the number1-10; At 46 months, 9.6% children can write the number 1~2; By 56 months, 72% of the children will write Arabic numerals 10. The most common mistakes children make are 6 and 9. They often write 3 as ε and 6 as ε? This kind of mistake can generally be corrected 66 months ago.

Fourth, repeat the figures.

Retelling numbers means reciting numbers dictated by adults, which requires children's short-term attention and memory. 1987, among the children surveyed, 76.2% of 30-month-old children can repeat double digits and 78.3% of 38-month-old children can repeat three digits. Binet L-M( 1972) is a two-digit number that is required to be repeated for 2.5~3 years. 3~3.5 years old repeat 3 digits; Repeat 5 digits at the age of 7; /kloc-repeat 6 digits at the age of 0/0 (Binet.Alfred defines the ability that can be achieved at this age according to the standard that 70% of people can achieve). After 1995, many residents in Beijing moved into apartment buildings and installed telephones at home. Most children aged two and a half to three can almost recite their 8-digit telephone numbers. Many children who are not in kindergarten 1~2 months old can recite their grandmother's phone number, and a few children aged three and a half can recite their parents' mobile phone number 1 1 digits. This result shows that the children's ability to retell figures in China greatly exceeds the scope stipulated in the Binet.Alfred Scale.

Verb (abbreviation for verb) reverses the number.

Ask children to recite a series of numbers dictated by adults in reverse order, such as 32 1 when dictation 123. When reciting numbers, you are not allowed to look at the written numbers or write down the dictated numbers with your own hair pen. This requires children to pay great attention to listening, recite the numbers immediately, and think hard at the same time, that is, recite the order of the numbers backwards through reverse thinking. In the investigation of 1987, it is found that 8.5% of 4-year-old children and 72.5% of 5-year-old children can recite backwards. 7.4% of 5-year-old children, 74.5% of 70-month-old children and 98.5% of 76-month-old children can recite backwards. 1995 found that at the age of 4, 82% of people can recite two digits, 25% can recite three digits, 10.2% can recite five digits and 3.4% can recite six digits. Binet.Alfred's L-M Scale requires 3 digits for 7 years old, 4 digits for 9 years old and 5 digits for 12 years old. Only adults with high IQ can recite six figures. Webster's 1950 pointed out that repeating and reversing numbers is a way to measure intelligence. If adults can't repeat five digits and reverse three digits, there is a 90% chance that they will be diagnosed with mental retardation and memory defect, and they can't concentrate on any hard work.

Countdown seconds of intransitive verbs

Countdown is the countdown from big to small, such as 5432 1. Children who have learned to count down with nursery rhymes can count down from 10 to 1 from the age of three and a half. Children's songs rhyme smoothly:123,321,1234567,7654321. It's easy to learn to recite 7~ 1, 10, 9 and 8 first. The key to countdown is 10~9, such as key exercises 100~99, 90~89, 70 ~ 69 ... After practice, children can count down from their own numbers to 1. According to the census of 1987, 7.4% of the untrained children at 44 months, and 75.6% at 54 months can count down from 5 to 1. At 46 months, there are 10.5 children, and at 64 months, 76.4% children can count down to 10~ 1. At 48 months, 7.2% children, 25.6% children at 74 months and 95.6% children at 80 months can count down from 20 to 1. Among 4-year-old children, 5.4% can count down from 30 to 1, and at 76 months, 72.3% can count down from 30 to 1. At 66 months, 8.2% people will count down from 50 to 1, and 4.8% of them will count down from 100 to 1. The Binet.Alfred 19 16 scale counts down from 20 to 1 until the age of 8. Many foreign experts believe that it is impossible to count down from 20 to 1 before the age of 7.