Collective order: Welcome group orders and use by the group. Please respect the author's intellectual property rights, and use the content of 123 Easy Teaching reasonably. ~~~ ~~~ 團購: 歡迎集體訂購使用.請尊重作者擁有智慧財產權, 合理的使用著作內容. ~~~

Basic instructions for website teaching.

Use the image concept of the surrounding environment of the living space to replace the calculation of simple numbers, and use such image expression to make the teacher and learner feel it friendly at a glance. It is easier for children to understand and absorb, instead of just giving them hard numbers. With the image of life, children will feel to understand and absorb more.

Addition operation uses the image concept of the living environment to combine numbers and add the numbers to get the addition. And by the length represents the size of the number, the addition of the number and the number will make the number larger and the length longer, which is easy to understand.It is also easier to understand and absorb rather than just reciting.

By arranging numbers, step by step, 1,2,3,4,5,...step by step, from small to large, children can learn mathematical operations step by step and construct the sense of mathematical numbers.

Welcome to click here all the contents of the interactive function of addition operation, and the application will teach children to learn mathematics in a simple way.

Subtraction is the opposite of addition. If children have a good foundation of addition and proficient in addition, they are fully prepared for subtraction. In some others, the crosses,... crosses are used on subtraction. The crosses represent the subtracted numbers. The subtraction operation here uses the image color to gradually fade. children feels like a pigeon flying away, a fish swimming away, and the number becomes smaller. Now, children have different feeling. By arranging numbers, step by step,1,2,3,4,5,... step by step, from small to large, children can learn mathematical operations step by step and construct the children sense of mathematical numbers.

The multiplication operation makes the children feel that multiplication is the same numbers increased, cumulative addition, cumulative change to get the multiplication. The combination of the same numbers, the addition of the same number, stacking up the same number becomes a multiplication operation. When reciting the multiplications, it is easy to get the help of images to deepen the impression. It's like playing with jigsaw puzzles or building blocks, stacking layers of numbers on top of each other will produce changes in numbers, which are easier to understand and absorb, rather than mere recitation. By arranging numbers, step by step, 1,2,3,4,5,...step by step, from small to large, children can learn mathematical operations step by step and construct the sense of mathematical numbers.

Similarly, division is the opposite of multiplication. The operation of division must be based on multiplication. If children are proficient in multiplication, the operation of division can be handy. A number is allocated to the same amount, and the image is used to let students understand that the numbers are evenly allocated, and the division operation is obtained. By arranging numbers, step by step, 1,2,3,4,5,...step by step, from small to large, children can learn mathematical operations step by step and construct the children sense of mathematical numbers.

Arrange the numbers from small to large, and the content is simple and easy to understand. It is not difficult for the instructor who is skilled in addition, subtraction, multiplication and division.
Smoothly guide learners into the learning situation, we bless all teachers and learners.
The download version of the addition operation provided on the Internet contains all the content of the interactive functions. You can also download the addition operation to help children on interactive learning. On the Internet, including all the content of the calculation exercises, repeated exercises to get the best learning effect.

If you order online, there will be interactive functions, questions to guide learning, and constructive calculation exercises.

By arranging numbers, step by step, 1,2,3,4,5,...step by step, from small to large, children can learn mathematical operations step by step and construct the children sense of mathematical numbers.

3 different teaching ways are prepared for each kind of operation.

When teaching, you can apply suitable teaching methods according to different levels.

Please click to reach basic practice.

Here is a free trial version.

The learning of addition practice is a necessary foundation for students to get started.

Free to try it for 30 days (1 months).

Only for you, you decide whether to pay or not.

It is free to be used at the beginning, free use and then pay after use.
If you feel that it is helpful and effective,
then please pay by placing the order.

Only for personal use. Do not forward it or use it for commercial purposes.

You decide whether to pay or not.

As long as 1 USD make your child's math skills become good, it is worthwhile to choose to download interactive learning files on site.  It is the best choice.

The teacher teaches the children arithmetic, do I need to teach the children myself?

Although the school teacher can teach, because there are other unit progress courses, the time is usually very short, and the teacher cannot spend too much time to introduce each operation.
For example, the progress of addition is about 2 weeks, and addition should be taught in 2 weeks. The teaching time of multiplication is also about two weeks, and students should learn an operation in 2 weeks.
We can imagine that time is very rushed. The teacher had to give up the students who could not keep up because of the pressure on the progress.

What are the benefits of teaching children in this way?

According to the sequence of 1 to 12, it is a systematic way to cultivate a sense of number and a sense of number direction.

Children will not lose way in learning, but can easily lead other students and build confidence in learning.They  will also have more confidence on other subjects, be able to do well, easily, and lead the group.

Smart parents make wise choices and lead the children in the correct direction of learning, why not do it.

Well begun is half done.

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.  The computers with larger screens, such as notebook computers are suggested. Smart phones do not support the interactive functions.

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.

https://youtu.be/0JVufaSat7k

https://youtu.be/3ZcJpUYHGH8

Nobel-level masters and mathematics professors and scholars jointly recommend.

We hope that the children in the study will lay the foundation for mathematics and all the learning. Wish they have more happy explorations to prepare well for the road to be the scientists, even the Nobel Prize in the future.

“From this book I can clearly see that you (the author) are dedicated to the fundamentals of education. I believe that many children will be able to appreciate the beauty of math.”

Dr.  James C. Liao ,  present President, Academia Sinica  2016 -

Dr.  James C. Liao,  present President, Academia Sinica  2016 -
( and tsmc  Dr. Morris Chang )

Dr. James C. Liao  has been named co-winner of the 2013
Eni Prize for renewable energy research.
Awarded from President of Italy

The Nobel Prize in Chemistry 1986 was awarded jointly to Dudley R. Herschbach, Yuan T. Lee and John C. Polanyi "for their contributions concerning the dynamics of chemical elementary processes.

The Nobel Prize Winner (1986), Dr. Yuan T. Lee   - President, Academia Sinica （1994-2006）

1+1＝2

2+2＝4

3+3＝6

4+4＝8

5+5＝10

6+6＝12

7+7＝14

8+8＝16

9+9＝18

10+10＝20

2×1＝2

2×2＝4

2×3＝6

2×4＝8

2×5＝10

2×6＝12

2×7＝14

2×8＝16

2×9＝18

2×10＝20

Construct the children sense of mathematical numbers.

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.

British science education has a long history, is a country with scientific and advanced civilization, and has cultivated many outstanding scientific talents, like Newton, who discovered gravity and is a great scientist and mathematician in British history.

The great mathematician Gauss once said that mathematics is the foundation of science, and arithmetic is the foundation of mathematics.

In recent years, the United Kingdom has been plagued by a problem, that is, the basic computing power of the nationals is obviously insufficient. The students are also lagging behind other countries in terms of their performance, especially those countries like Singapore and China. After an in-depth study of educational surveys, the British government has announced that British students must be proficient in the “multiplication table” before they graduate from elementary school
If you let some children calculate how much 4+8 is equal.
Some children count this way: Children will use their mouths and have words in their mouths:
"4...8, 9, 10, 11, 12, the answer is 12."
Some children count this way: stick out a finger, a finger, a hand index, ... the answer is 12.
If children use 123 Easy Teaching to learn arithmetic, the children don't need to have words in their mouths, and they don't use their fingers. The answer is 12.
Just like learning the "multiplication table", children need to practice repeatedly to form long-term memory.
What is the difference between the teaching method of 123 Easy Teaching and the traditional one?
Since 2016, the United Kingdom has also asked children to memorize the multiplication table to improve their computing power. Using the "multiplication table" has a faster calculation effect on the arithmetic of children's skilled multiplication, and it is very helpful. Using 123 Easy Teaching is like a system learning method of "multiplication table" to train other operations, and naturally it will get good results. 123 Easy Teaching has the equivalent training effect on the arithmetic as the "multiplication table".

If the children learn other arithmetic in the similiar way of learning by "multiplication table", as long as the children can become proficient, the children can quickly answer the arithmetic questions. 123 Easy Teaching is to explain the Addition, subtraction, multiplication, division, representation of various operational images, and the process of constructing arithmetic, to enhance children's understanding. The child is able to be familiar with the results of calculations, and leave a deep impression on the mind by reading 123 Easy Teaching .
We wish that the children will be familiar with 123 Easy Teaching as same as they are familiar with the "multiplication table". They must be able to be skilled in basic arithmetic after reading 123 Easy Teaching repeatedly. Application on123 Easy Teaching, the children can quickly and intuitively say the answers, no need to use the fingers, 123 Easy Teaching can change the habit of calculation, the child is very intuitive to calculate, became the mental arithmetic.
Reading 123 Easy Teaching, like the effect of reading the "multiplication table", can definitely improve the children's arithmetic ability, and there is significant progress. If the child is proficient, the child can quickly learn basic arithmetic, so that the basic arithmetic can be calculated with the heart. After a short period of proficiency, the child can do operations more quickly and more accurate than the traditional calculation method, and get the answer without using fingers.
Multiplication table
In order to facilitate the memory, the "Multiplication Table" is a multiplication of the two numbers one by one.
From the 1st to the 9th, the child perceives the order of numbers.
1 is followed by 2, 2 is followed by 3.. and so on.
1*1= 1    1*2= 2    1*3= 3 .................. 1*9= 9
2*1= 2    2*2= 4    2*3= 6 ................... 2*9=18
3*1= 3    3*2= 6    3*3= 9 ..................... 3*9=27
............
........
.....
9*1= 9    9*2=18    9*3=27 ..................... 9*9=81

Many mathematics teachers agree with the importance of arithmetic operations. They also believe addition is the basis of multiplication. Usually, we learn the addition, then we learn the subtraction, and then we learn the multiplication and division.
If the students learn the addition well, and they will be able to learn mathematics smoothly in the future. Therefore, the addition is the basis of all kinds of arithmetic. The importance of addition is self-evident.
The great mathematician Gauss once said that mathematics is the foundation of science, and arithmetic is the foundation of mathematics. We may say the addition is the foundation of arithmetic.
The addition (the "addition table" ) in 123 Easy Teaching is designed as same as the "multiplication table".
123 Easy Teaching : 1 to 12, addition,
1+1= 2    1+2= 3    1+3= 4 .................. 1+12= 13
2+1= 3    2+2= 4    2+3= 5 ................... 2+12=14
3+1= 4    3+2= 5    3+3= 6 ..................... 3+12=15
............
........
.....
12+1= 9    12+2=18    12+3=27 ..................... 12+12=24
...

"Constructive mathematics" has operational thinking, which helps students understand and agree with the calculation structure. The students not only know the truth, but also know why, so that they can calculate correctly and skillfully.
For example, 4+8 is equal to how much. If the process of "constructing mathematics" is written into a mathematical formula, it becomes:
4+8 = 4+(6+2) = (4+6)+2 = 10+2 = 12
I hope that the children will be familiar with the addition (the "addition table" ) in 123 Easy Teaching as same as they are familiar with the "multiplication table". They must be able to be skilled in basic arithmetic after reading 123 Easy Teaching repeatedly. Application on 123 Easy Teaching, the children can quickly and intuitively say the answers, no need to use the fingers, 123 Easy Teaching can change the habit of calculation, the child is very intuitive to calculate, became the mental arithmetic.
123 Easy Teaching : 1 to 12, multiplication,
1*1= 1    1*2= 2    1*3= 3 .................. 1*9= 9 ......1*12= 12
2*1= 2    2*2= 4    2*3= 6 ................... 2*9=18 ......2*12= 24
3*1= 3    3*2= 6    3*3= 9 ..................... 3*9=27......3*12= 36
............
........
.....
12*1= 12    12*2=24    12*3=36 ............
.... 12*9=108......12*12= 144

........。.

How 123 Easy Teaching improves children's interest and memory?

123 Easy Teaching is a systematic and organized computing training. It is easy to form understanding and memory.
In the 123 Easy Teaching, the "multiplication table" is combined with the image, and the rich multiplication of images and constructive mathematics is used to enhance children's interest in learning and to more easily understand the concept of multiplication. Therefore, parents can let the children use the image to strengthen the memory while cultivating the child's knowledge, and cultivate the child's abstract ability and imagination for the image, which will not make the child feel boring.
Applying a good method children can learn arithmetic with less effort,  123 Easy Teaching is with shortcuts to computing that can't be learned in the classroom. The transition from children to the changes in the way the adult brain works, so that children can easily fall in love with mathematics and improve their mathematics.
Like learning a "multiplication table", it is necessary to practice 123 Easy Teaching repeatedly to form long-term memory.

According to the logical sequence and regularity of the traditional 9* 9 multiplication table , the logic of various operations is editted in 123 Easy Teaching. The primary school students are familiar with such a nature when they learn the addition and subtraction.
Practice makes perfect, if the 123 Easy Teaching is applied to learn  addition and subtraction well, the students are able to be very accustomed to use such a nature to learn the nine-nine (or 12* 12 ) multiplication table in the future.

The 4 basic operations of arithmetic (+ − × ÷) give your child a strong foundation for mathematical success and also are important to have confidence to face the exams.

The website has a complete architecture of arithmetic operations and interesting pictures. Try it out.
Let's take a look at this website.

It is worthy of your likes and recommendations, guiding children into a happy paradise for learning arithmetic operations.

What is the similarity between 123 Easy Teaching and the 99 multiplication table?

The similarity between 123  and the 99 multiplication table is that they both are systematic and sequential, smooth operation editing step. In particular, 123 Easy Teaching explains each operation step clearly, even with images to express, rich and interesting, easier to understand, more amiable, friendly, easy to understand, easily to keep deep impression.

How to use 123 to achieve the maximum effect?

On the one hand, we must first understand, and follow the training in the way of training the ninety-ninth multiplication. It must be very skilled and even remember. You can achieve the best results by reading every page of 123 Easy Teaching up and down, over and over again, and then practicing the calculus exercises with the exercises.

123@123merry.com or
123merry@123merry.com to Contact the website.

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.

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.

When I open the pdf file, there will be Chinese characters"請輸入密碼". What does it mean? What do I do?

https://cht.tw/h/y1kzv

Nobel-level masters and mathematics professors and scholars jointly recommend.

We hope that the children in the study will lay the foundation for mathematics and all the learning. Wish they have more happy explorations to prepare well for the road to be the scientists, even the Nobel Prize in the future.

“From this book I can clearly see that you (the author) are dedicated to the fundamentals of education. I believe that many children will be able to appreciate the beauty of math.”

Dr.  James C. Liao ,  present President, Academia Sinica  2016 -

Dr.  James C. Liao,  present President, Academia Sinica  2016 -
( and tsmc  Dr. Morris Chang )

Dr. James C. Liao  has been named co-winner of the 2013
Eni Prize for renewable energy research.
Awarded from President of Italy

The Nobel Prize in Chemistry 1986 was awarded jointly to Dudley R. Herschbach, Yuan T. Lee and John C. Polanyi "for their contributions concerning the dynamics of chemical elementary processes.

The Nobel Prize Winner (1986), Dr. Yuan T. Lee   - President, Academia Sinica （1994-2006）