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  4. 123 Easy Teaching Division ( ÷ ) : ...It is kind of "unfortunate" not to recite the(9x9 or 12x12) multiplication table... winner of the Fields prize, Qiu Chengtong,

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Gauss once said: "mathematics is the queen of science, and number theory is the queen of mathematics", people of that era therefore called gauss "the prince of mathematics".


In an interview, Qiu Chengtong, winner of the Fields prize, the highest honor in the world of mathematics, and a scholar of academia sinensis, pointed out that Mathematics should be taught according to aptitude, and both memory and reasoning should be taken into account. It is a kind of "unfortunate" not to recite mathematics of nine-nine multiplication; If you don't use the method of multiplication table you can only have one number and one number and you don't have a complete concept of multiplication.


He said, well, for example,if I have 2 times 10, and I have to add 10 times each time, how can I get to the next level of math? after 40 years of studying mathematics, he still has to learn some things by heart.


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Division
When we need to split something up evenly and fairly, we use division.

For example, Santa Clause has 10 pieces of candy and gives it to 2 children. Since Santa believes in fairness, each child receives two pieces of candy.

Consider that Snow White has 21 cookies and wants to give them to the 7 dwarves. If she distributes the cookies fairly, each dwarf will receive 3 cookies.



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123 Easy Learning



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PART 1 of 123




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f99d9b7c8e5a0a9f1b63c198c98b993f.png

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5b1568b62d47feef1d1a7aa9c3375924.png

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1÷1=1


2÷2=1


3÷3=1


4÷4=1


5÷5=1


6÷6=1


7÷7=1


8÷8=1


9÷9=1





10÷10=1




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Please click to reach advance practice.




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Please click to reach review practice.


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7ee36ba0468e94920275b524ae7b206d.png




2÷1=2


4÷2=2


6÷3=2


8÷4=2


10÷5=2


12÷6=2


14÷7=2


16÷8=2


18÷9=2


20÷10=2







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bb4dd578b9bfa39c1308901bfa22b396.png





3÷1=3


6÷2=3


9÷3=3


12÷4=3


15÷5=3


18÷6=3


21÷7=3


24÷8=3


27÷9=3


30÷10=3





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65a0707de093a3f77b53133399181e4a.png


c068f6263d9d41dcc9a2973d31c52242.png




4÷1=4


8÷2=4


12÷3=4


16÷4=4


20÷5=4


24÷6=4


28÷7=4


32÷8=4


36÷9=4


40÷9=4


40÷10=4






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4ec8626bf2844fcd5dda0c86d3fc8d19.png








5÷1=5


10÷2=5


15÷3=5


20÷4=5


25÷5=5


30÷6=5


35÷7=5


40÷8=5


45÷9=5


50÷10=5











16cd1d022e7a0e1de402190561235214.jpg




779b6b119a4a82a67fea30b6fe186294.png



3ac73197e4ddad6c299efcc5a772109d.png




5d32cc0682ab9476c3a8e28a953ba1d6.png

Notice that the equation is changed interactively when the cursor was moved closely. 

Because the fixed graphics JPG files were posted on site, so there is no interactive effect on site.
If you want to experience dynamic teaching effects, please download the interactive pdf file, welcome to download and get the interactive  functions. After downloading, experience the new learning method, interactive learning on PC.

Currently, because the (amazon) e-book readers are temporarily unable to get interactive function on the e-book readers.

Please download the following interactive pdf files on the site. Welcome to experience the interactive teaching and share 123 site to more people to increase the fun of learning.

123  motion demo

Click here to continue your download.

 

Or, please download the following interactive pdf files.


959179071f3e41328851d71efad4882b.png


0356450029bfa068ceedb9ba81489e20.png


e65233079b7828eec86201b64ac6034f.png


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74ec9a45c1292f6547e8605f29a83356.png


bd1c9a5d2075d42bd63b10f507a6deca.png





6÷1=6


12÷2=6


18÷3=6


24÷4=6


30÷5=6


36÷6=6


42÷7=6


48÷8=6


54÷9=6


60÷10=6






018e78f9dc03bf93ab5e585b08016bff.jpg



Gauss one of the greatest mathematicians, said : "Mathematics is the queen of the sciences and number theory is the queen of mathematics."

The valuable help on learning at a low cost. Cute Arithmetic Kids Gift. Kids Learning in 1st 2nd Grade. 

Because the fixed graphics JPG files were posted on site, so there is no interactive effect on site.
If you want to experience dynamic effects, please use the interactive pdf file, welcome to download and get interactive the functions. After downloading, experience the new learning method, interactive learning on PC.

Currently, because the (amazon) e-book reader is temporarily unable to get interactive function on the e-book readers.

If you want to have interactive features, please download the interactive pdf files on the site. Welcome to experience the interactive learning and share to more people to increase the fun of learning.


Free arithmetic file download below.


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Well begun is half done.

Matthew effect: one step ahead, one step ahead, become a genius leader.

The success of early childhood education lies in the establishment of a good relationship between parents and children, so that children can enjoy the learning process, love learning, stay curious, and acquire a good lifelong learning attitude and ability.

Infancy is a critical period for rapid brain development. Seize this critical period, the sensitivity that USES its cerebrum nerve, undertake early education, indeed with half the effort get twice the result.

Japanese educator Kimura kuichi "early education and genius" wrote: even the most ordinary children, as long as the education method, will become extraordinary people.

Calvert's education: The education of children must be started as early as possible by Karl Witt ’s “Education of Karl Witt” in 1818.

www.123merry.com is a good tool to help children grasp the development of the brain, a good toy to develop intelligence, it not only cultivate mathematical thinking, improve number sense, but also can develop the brain in many ways.

Before the age of three, a child's brain can absorb a lot of knowledge. Language, words, pictures, music, rules of life, attitudes, and so on. Don't be afraid of too much, the child's absorption ability exceeds your imagination. According to the "human brain development" curve released by the Harvard Center for Child Development, the development of Higher Cognitive Function (which includes ability of concept formation, problem solving, abstract thinking, impulse control, logical thinking and creativity) actually peaks between 10 months and 4 to 5 years old.

Some learning, including reading, must take place as the child matures and grows. Professor Sebastian Suggate, a German expert in child education, reading should not be pushed too early.

Gauss once said: "mathematics is the queen of science, and number theory is the queen of mathematics", people of that era therefore called gauss "the prince of mathematics".

Psychologists at Harvard University in the us have published a startling study that found children as young as five are natural mathematicians who can master number abstractions and arithmetic rules without formal education or instruction. According to Dr Ann Gervasoni, senior lecturer in mathematics at the Australian Catholic university, there is no "sensitive period" in maths. There is no age limit for the recognition of Numbers and the cultivation of number sense, even the earlier the better. This also shows that many geniuses or prodigies are early trained to recognize Numbers, inspire mathematical ability, and produce many enviable students. According to a harvard study, babies and toddlers recognize the sense of Numbers.

To inspire children's intelligence, Numbers and number symbols are among the simplest, the most simple. It is the best way to develop children's intelligence and the best shortcut to do so. Compared with the understanding of picture books and so on, they can get full learning and intellectual development in the digital field earlier.

Britain from 2016 began to notice the effect of the multiplication table, education unit studies the importance and necessity of multiplication table, through research, education research institutes all researchers agree that reciting multiplication table, for students in learning mathematics and natural science has a very important promotion effect, if the students don't recite multiplication table, resulting in a decline in learning ability.

The multiplication table have been introduced in the UK! Teachers from Shanghai who have gone to the UK for exchange have also brought the multiplication table into British primary school classrooms. It is understood that the UK could change the multiplication table to the "12X12" familiar to local students.

The traditional Chinese method of nine-nine multiplication is a way to develop a sense of number. Children's concept of Numbers can produce a sense of regularity because of the position of the number. This is an important reason why Chinese students have long been ahead of other countries in math. Just like the movement of basketball dribble, skillful dribble is not necessarily the key to score, but if the movement of the dribble is not mature, it is the fatal injury. Similarly, if the calculation of the action is not proficient in mathematics, in the calculation of mathematics students, is a learning obstacle.

Britain began in 2016 using multiplication table, multiplication table's biggest characteristic, is a number, then a number, a full and complete training, like using a clear map, each place has clearly labeled jiujiu multiplication can let the children have the best number of feeling, to know every number of links, and the relationship of the every number, fostered the sensitive degree of digital arithmetic. 

Relative to the other tools for lesarning multiplication in the market, a variety of different training methods, they often use the individual numbers together operation practice, number sense cannot be established.

In an interview, Qiu Chengtong, winner of the Fields prize, the highest honor in the world of mathematics, and a scholar of academia sinensis, pointed out that Mathematics should be taught according to aptitude, and both memory and reasoning should be taken into account. It is a kind of "unfortunate" not to recite mathematics of nine-nine multiplication; If you don't use the method of multiplication table you can only have one number and one number and you don't have a complete concept of multiplication.

He said, well, for example,if I have 2 times 10, and I have to add 10 times each time, how can I get to the next level of math? after 40 years of studying mathematics, he still has to learn some things by heart.

The importance of factual knowledge as the foundation of knowledge growth is self-evident. It is found that the difficulty of automating the extraction of mathematical facts of unit number addition and subtraction is the core ability defect of mathematical learning disability. In the aspect of multi-digit computing ability, the main core defect of mathematical learning disability is still the difficulty of extracting mathematical facts.

It is difficult to use mathematical symbols to carry out the four operations, and it is difficult to understand or remember the mathematical algorithms. Even understanding mathematical concepts is difficult.

The child's mind gradually mature, if parents can't guide children to develop good habits, they may get into a dilemma: when children are anxious, this kind of tension will suddenly filled with fill working memory in the brain, and originally used to study and solve mathematical problems that part was occupied, namely the first turn out how all not to come over. In the long run, this kind of math anxiety not only impairs a child's memory, it also makes them worse at math. It takes a lot of work, but the results are often not good, after all, because the critical period is not good. Professor Ashcraft at the university of Nebraska specializes in math anxiety.
She said it's not that people with math anxiety are more likely to be less intelligent than others. There is a fair amount of working memory involved in solving mathematical problems. Worry and anxiety consume so much of working memory that people don't have enough resources to solve math problems. Poor understanding of number sizes and relationships; Adding single digits on your fingers, rather than being able to extract the memory of math facts to perform calculations like your peers. Lost in the calculation process, and may be disorderly conversion method). Difficulty in mathematical reasoning (e.g., serious difficulty in applying mathematical concepts, mathematical facts, or procedural processing to quantitative problems).

Q: Is repeated practice really useful for students' learning?
A: Repeated practice has always been notorious, but the cognitive system has its bottleneck: the range of the brain can cope with many concepts is limited. To solve this problem, the most effective is to practice, because practice can reduce the "space" required for mental activities.
Q: Is it useful to ask students to memorize half facts?

A: Forcing students to recite dry facts is not considered very helpful, but it is impossible to teach skills such as analysis or speculation without knowledge of facts. Cognitive science research indicates that teachers expect students to rely on extensive factual knowledge for both analysis and critical thinking.

“Why Don't Students Like School?: A Cognitive Scientist Answers Questions About How the Mind Works and What It Means for the Classroom”

The development of the general ability to think and judge independently should always be a priority, not the acquisition of professional knowledge. If a person has mastered the basic theory of his subject and learned to think and work independently, he is bound to find his own way, and he is bound to be better adapted to progress and change than one who is trained primarily on the acquisition of detailed knowledge. -- Albert Einstein

I became a scientist by learning to think, think, and think again. -- Albert Einstein





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