Elementary math study method for perfect scores
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Description
Book Introduction
From the multiplication table to factoring, perfect calculations create the 'God of Math'!
This book is an expanded and revised edition of 『The God of Operations』.
Over time, the author's experience has accumulated and more content has been added.
Many parents may find arithmetic a bit silly, but in elementary school, arithmetic is not optional, it's a necessity.
However, since there are no clear standards for how much calculation should be done, most parents think that although calculation is a hassle, if they just solve a lot of problems, it will be solved on its own.
Perhaps it is because the idea that ‘math = thinking ability’ is so strong.
But how many parents are aware that their children can struggle with math in middle school, and even higher school, and even the college entrance exam because of math calculations?
In 『Elementary Arithmetic Perfect Score Study Method』, it does not simply teach the mental arithmetic skills of natural numbers, multiplication tables, multiplication, division, factoring, divisors, multiples, and the four basic arithmetic operations of fractions that should be developed in elementary school, but provides clear guidance on how to do them and to what extent.
And even equations and factoring in middle school math, which mothers do not think of as operations, are presenting a new concept of operations.
The path to becoming a 'god of math' is surprisingly close.
We recommend using the prescriptions and math worksheets presented in this book, as well as the 'Elementary and Middle School Operations Roadmap' in the appendix.
From the multiplication table to factoring, let's not forget that perfect calculations create the 'God of Math'!
This book is an expanded and revised edition of 『The God of Operations』.
Over time, the author's experience has accumulated and more content has been added.
Many parents may find arithmetic a bit silly, but in elementary school, arithmetic is not optional, it's a necessity.
However, since there are no clear standards for how much calculation should be done, most parents think that although calculation is a hassle, if they just solve a lot of problems, it will be solved on its own.
Perhaps it is because the idea that ‘math = thinking ability’ is so strong.
But how many parents are aware that their children can struggle with math in middle school, and even higher school, and even the college entrance exam because of math calculations?
In 『Elementary Arithmetic Perfect Score Study Method』, it does not simply teach the mental arithmetic skills of natural numbers, multiplication tables, multiplication, division, factoring, divisors, multiples, and the four basic arithmetic operations of fractions that should be developed in elementary school, but provides clear guidance on how to do them and to what extent.
And even equations and factoring in middle school math, which mothers do not think of as operations, are presenting a new concept of operations.
The path to becoming a 'god of math' is surprisingly close.
We recommend using the prescriptions and math worksheets presented in this book, as well as the 'Elementary and Middle School Operations Roadmap' in the appendix.
From the multiplication table to factoring, let's not forget that perfect calculations create the 'God of Math'!
- You can preview some of the book's contents.
Preview
index
Prologue: The nine years of elementary and middle school are all about preparing for high school math.
Part 1.
The Hidden Power of a Top-Ranking Advanced Mathematics Student: Arithmetic
1.
Tried to go to Busan but ended up in Pyongyang?
2.
The ideal in math textbooks is not my child's reality.
3.
A concept can only blossom if there is a land called Yeonsan.
4.
Really? The top grade on the CSAT is almost always determined by first-year middle school students.
Part 2.
Top 1% Project: Elementary School Calculation
1.
I may be good at counting, but I don't know how to count.
How to teach counting
[Elementary 1st and 2nd grade] Distinguishing between 'numbers in front' and 'numbers in back'
[Elementary 3rd-4th grade] Counting natural numbers in the range
[Elementary 5th-6th grade] Jumping and counting, etc.
[Middle School 1st and 2nd grade] Number of protests
[High School 1st Year] Number of Terms and General Terms of an Arithmetic Sequence
│Talk Talk with Mr. Cho│ Do you know what finite and infinite are?
2.
Mental arithmetic: Ignoring addition and subtraction can jeopardize even higher-level mathematics.
10's complement
Using commercially available study materials
Create your own mental arithmetic worksheet
Fast, pass in 40 seconds!
│Talk Talk with Mr. Cho│ Want to learn an easy way to do mental math? Just change it up a little!
│Math Worksheet│Practice Addition and Subtraction Speed
3.
Multiplication Table_ Keep memorizing the multiplication table backwards
Fast, 36 seconds! Why 36 seconds?
Multiplication and multiplication
Huh? ×0?
│Talk Talk with Mr. Cho│Same number? Add it multiple times? Then just multiply it!
│Math Worksheet│Memorizing the Multiplication Table Backwards
4.
Multiplication: The biggest weakness of school education is its speed.
If you do it roughly, it will shake up higher mathematics at a speed
Why are teaching and assessing school mathematics different?
Practice methods that vary in speed depending on the grade level
A recipe for finishing multiplication speed
Catch the confusion between addition and multiplication
│Talk Talk with Mr. Cho│ Let's memorize the product of the same numbers that we will use from now on.
│Math Worksheet│Practice Multiplication Speed
5.
Finding the quotient and divisors_ A prerequisite for number sense
Hydrolysis for sense of number - Quotient
How about finding multiples and factors in 3rd and 4th grade?
The divisor is the quotient window
│Talk Talk with Mr. Cho│Equations also have properties.
But what is the equation?
│Math Worksheet│Practice frequently used numbers in the quotient window
6.
Division_Division by three digits, make sure to divide by one digit.
Two meanings of division: equal division and inclusion
Division changes with each grade
Calculation of what is divisible and what is not divisible
Fast, pass in 1 minute and 30 seconds!
A recipe for finishing division speed
│Talk Talk with Mr. Cho│ How can we separate them?
│Math Worksheet│Practice Division Speed
7.
Hydrolysis_ Large numbers are not operations, but hydrolysis.
Hydrolysis for water sense
Why isn't the sense of numbers in elementary school textbooks?
① Prime numbers ② Square numbers ③ Multiples ④ How to determine multiples ⑤ Even and odd numbers
Talk Talk with Mr. Cho: Is 0 There and Then There Isn't? Fraud with 0
│Math Worksheet│Practice Speed Factorization
8.
Fraction_ Roughly speaking, it's like reserving a water bottle.
4th Grade: Finding the Meaning of Fractions is More Important Than Calculation
The standard for fractions? Unit fractions!
The 'great' properties of fractions - distribution, reduction, and common denominator
Using commercially available study materials
If it's fast and intuitive, you pass!
Even if it's boring, you have to use all the food? Who said that?
Fraction operations and seven decimals
│Talk Talk with Mr. Cho│ If you know just 7 things, you can change decimals and fractions as you like.
│Math Worksheet│ Stick it on your desk and solve fraction calculations every day.
Part 3.
Base Camp for Perfect Scores: A Middle School Student's Arithmetic
1.
Integer_ You have to know the meaning to finish
Meaning of integer
Meaning of symbols
Reading addition and subtraction of integers meaningfully
Why (negative) × (negative) = (positive)?
In fractions, the numerator is the - (minus)
│Talk Talk with Mr. Cho│ Everyone gets confused when they first encounter Jeongsu Sem.
│Math Worksheet│ Stick it on your desk and read it every day to learn the meaning of integer arithmetic.
2.
Linear equations_ Do most equations in your head.
Meaning of equations
There are only three types of equations!
Elementary school students solve equations using the properties of equations.
Converting a proportion into an equation
│Talk Talk with Mr. Cho│ You can't divide both sides by 0, right?
│Math Worksheet│ Stick it on your desk and do mental calculations of linear equations every day.
3.
Factorization: The speed of advanced mathematics ends here.
The first key to factoring is 'finding common factors'
How far should the factoring go?
Factorization for Advanced Mathematics
│Talk Talk with Mr. Cho│ Find the case where the sum or product is 0
│Math Worksheet│ Stick it on your desk and solve factoring problems verbally every day.
Part 4.
'Joanho Operation' required for students in grades 5 and above
1.
The world is in the digital age, and we've been fighting for 25 years without even realizing it.
There is only one way to mathematics.
A teacher is not someone who simply imparts knowledge.
Fulfilling a 25-year-old wish
2.
If you are past the 4th grade, you cannot do calculations using the existing method.
3.
The composition of the 'Joanho Yeonsan' program
Steps and Contents
Experience Joanhoyeonsan Mountain
4.
The effects of the 'Joanho Yeonsan' program
① Change your body in a short period of time
② If an operation is performed, ignore the operation.
③ Jo An-ho's operation in middle school
④ Stepping stone for learning thoughts and concepts
⑤ Confidence and reactions from others
Epilogue: Choose the Path to Math Success
│Appendix│ A roadmap for elementary and middle school math that will take you all the way to the CSAT if you study well!
Part 1.
The Hidden Power of a Top-Ranking Advanced Mathematics Student: Arithmetic
1.
Tried to go to Busan but ended up in Pyongyang?
2.
The ideal in math textbooks is not my child's reality.
3.
A concept can only blossom if there is a land called Yeonsan.
4.
Really? The top grade on the CSAT is almost always determined by first-year middle school students.
Part 2.
Top 1% Project: Elementary School Calculation
1.
I may be good at counting, but I don't know how to count.
How to teach counting
[Elementary 1st and 2nd grade] Distinguishing between 'numbers in front' and 'numbers in back'
[Elementary 3rd-4th grade] Counting natural numbers in the range
[Elementary 5th-6th grade] Jumping and counting, etc.
[Middle School 1st and 2nd grade] Number of protests
[High School 1st Year] Number of Terms and General Terms of an Arithmetic Sequence
│Talk Talk with Mr. Cho│ Do you know what finite and infinite are?
2.
Mental arithmetic: Ignoring addition and subtraction can jeopardize even higher-level mathematics.
10's complement
Using commercially available study materials
Create your own mental arithmetic worksheet
Fast, pass in 40 seconds!
│Talk Talk with Mr. Cho│ Want to learn an easy way to do mental math? Just change it up a little!
│Math Worksheet│Practice Addition and Subtraction Speed
3.
Multiplication Table_ Keep memorizing the multiplication table backwards
Fast, 36 seconds! Why 36 seconds?
Multiplication and multiplication
Huh? ×0?
│Talk Talk with Mr. Cho│Same number? Add it multiple times? Then just multiply it!
│Math Worksheet│Memorizing the Multiplication Table Backwards
4.
Multiplication: The biggest weakness of school education is its speed.
If you do it roughly, it will shake up higher mathematics at a speed
Why are teaching and assessing school mathematics different?
Practice methods that vary in speed depending on the grade level
A recipe for finishing multiplication speed
Catch the confusion between addition and multiplication
│Talk Talk with Mr. Cho│ Let's memorize the product of the same numbers that we will use from now on.
│Math Worksheet│Practice Multiplication Speed
5.
Finding the quotient and divisors_ A prerequisite for number sense
Hydrolysis for sense of number - Quotient
How about finding multiples and factors in 3rd and 4th grade?
The divisor is the quotient window
│Talk Talk with Mr. Cho│Equations also have properties.
But what is the equation?
│Math Worksheet│Practice frequently used numbers in the quotient window
6.
Division_Division by three digits, make sure to divide by one digit.
Two meanings of division: equal division and inclusion
Division changes with each grade
Calculation of what is divisible and what is not divisible
Fast, pass in 1 minute and 30 seconds!
A recipe for finishing division speed
│Talk Talk with Mr. Cho│ How can we separate them?
│Math Worksheet│Practice Division Speed
7.
Hydrolysis_ Large numbers are not operations, but hydrolysis.
Hydrolysis for water sense
Why isn't the sense of numbers in elementary school textbooks?
① Prime numbers ② Square numbers ③ Multiples ④ How to determine multiples ⑤ Even and odd numbers
Talk Talk with Mr. Cho: Is 0 There and Then There Isn't? Fraud with 0
│Math Worksheet│Practice Speed Factorization
8.
Fraction_ Roughly speaking, it's like reserving a water bottle.
4th Grade: Finding the Meaning of Fractions is More Important Than Calculation
The standard for fractions? Unit fractions!
The 'great' properties of fractions - distribution, reduction, and common denominator
Using commercially available study materials
If it's fast and intuitive, you pass!
Even if it's boring, you have to use all the food? Who said that?
Fraction operations and seven decimals
│Talk Talk with Mr. Cho│ If you know just 7 things, you can change decimals and fractions as you like.
│Math Worksheet│ Stick it on your desk and solve fraction calculations every day.
Part 3.
Base Camp for Perfect Scores: A Middle School Student's Arithmetic
1.
Integer_ You have to know the meaning to finish
Meaning of integer
Meaning of symbols
Reading addition and subtraction of integers meaningfully
Why (negative) × (negative) = (positive)?
In fractions, the numerator is the - (minus)
│Talk Talk with Mr. Cho│ Everyone gets confused when they first encounter Jeongsu Sem.
│Math Worksheet│ Stick it on your desk and read it every day to learn the meaning of integer arithmetic.
2.
Linear equations_ Do most equations in your head.
Meaning of equations
There are only three types of equations!
Elementary school students solve equations using the properties of equations.
Converting a proportion into an equation
│Talk Talk with Mr. Cho│ You can't divide both sides by 0, right?
│Math Worksheet│ Stick it on your desk and do mental calculations of linear equations every day.
3.
Factorization: The speed of advanced mathematics ends here.
The first key to factoring is 'finding common factors'
How far should the factoring go?
Factorization for Advanced Mathematics
│Talk Talk with Mr. Cho│ Find the case where the sum or product is 0
│Math Worksheet│ Stick it on your desk and solve factoring problems verbally every day.
Part 4.
'Joanho Operation' required for students in grades 5 and above
1.
The world is in the digital age, and we've been fighting for 25 years without even realizing it.
There is only one way to mathematics.
A teacher is not someone who simply imparts knowledge.
Fulfilling a 25-year-old wish
2.
If you are past the 4th grade, you cannot do calculations using the existing method.
3.
The composition of the 'Joanho Yeonsan' program
Steps and Contents
Experience Joanhoyeonsan Mountain
4.
The effects of the 'Joanho Yeonsan' program
① Change your body in a short period of time
② If an operation is performed, ignore the operation.
③ Jo An-ho's operation in middle school
④ Stepping stone for learning thoughts and concepts
⑤ Confidence and reactions from others
Epilogue: Choose the Path to Math Success
│Appendix│ A roadmap for elementary and middle school math that will take you all the way to the CSAT if you study well!
Detailed image
Into the book
Elementary school mathematics textbooks have already been organized into a system for each grade.
If you divide it into the operation area, the operation extension area, and the shape area according to this system, you can shorten the time and make the missing parts that need to be filled in more clearly visible.
Each child has different areas of weakness, but they all have a weakness in that their skills do not improve much after they overcome their weaknesses.
--- p.7
Most elementary and middle school students solve the same types of workbooks.
It's not that it's wrong to re-solve a problem you've already solved, but if you approach it with a technique or type, this isn't what you thought.
Memory cannot be the ability to think.
If you insist that you used your brain by solving even a typical problem, then it is true that you used your brain.
However, it is far from enough to say that such effort has developed the thinking ability to overcome advanced mathematics.
--- p.21
Of course, thinking skills are important in mathematics.
But I wonder if there is a thinking ability without calculations and concepts.
Even when considering the systematic nature of mathematics, which is its greatest characteristic, the ability to think does not develop without a foundation of operations and concepts.
Of course, thinking skills can develop even without calculations and concepts.
If you divide it into the operation area, the operation extension area, and the shape area according to this system, you can shorten the time and make the missing parts that need to be filled in more clearly visible.
Each child has different areas of weakness, but they all have a weakness in that their skills do not improve much after they overcome their weaknesses.
--- p.7
Most elementary and middle school students solve the same types of workbooks.
It's not that it's wrong to re-solve a problem you've already solved, but if you approach it with a technique or type, this isn't what you thought.
Memory cannot be the ability to think.
If you insist that you used your brain by solving even a typical problem, then it is true that you used your brain.
However, it is far from enough to say that such effort has developed the thinking ability to overcome advanced mathematics.
--- p.21
Of course, thinking skills are important in mathematics.
But I wonder if there is a thinking ability without calculations and concepts.
Even when considering the systematic nature of mathematics, which is its greatest characteristic, the ability to think does not develop without a foundation of operations and concepts.
Of course, thinking skills can develop even without calculations and concepts.
--- p.281
Publisher's Review
Math determines college acceptance! A solid foundation is essential, from elementary math to critical thinking.
“Isn’t thinking ability important in math?”
right.
Mathematics is a discipline that requires thinking skills.
Maybe that's why many parents seem to take math too lightly.
It seems that the idea that it is right to teach critical thinking skills in mathematics from elementary school onwards is ingrained in our minds because if we just solve problems, the calculations will be solved automatically.
But how many mothers realize that "perfect arithmetic is the cornerstone of perfect mathematical reasoning"? The author of this book, Mr. Cho, argues that if children learn math carelessly in elementary school, that careless math will ultimately hinder them in middle and high school. While mathematical reasoning is crucial, he argues that it's only possible after solidifying a foundation in arithmetic and concepts.
Everyone knows that math determines college admissions.
If your child is still in elementary school, or even before the third year of middle school, there is plenty of time to prepare for it.
The most effective method would be to gradually build the foundation from calculation to thinking skills.
[A word from the author]
“It goes without saying, but the most important thing in mathematics is thinking skills.
The problem is that thinking skills don't just fall from the sky; they have to be developed one by one.
I believe that computation and concepts are essential for developing thinking skills.”
“Isn’t thinking ability important in math?”
right.
Mathematics is a discipline that requires thinking skills.
Maybe that's why many parents seem to take math too lightly.
It seems that the idea that it is right to teach critical thinking skills in mathematics from elementary school onwards is ingrained in our minds because if we just solve problems, the calculations will be solved automatically.
But how many mothers realize that "perfect arithmetic is the cornerstone of perfect mathematical reasoning"? The author of this book, Mr. Cho, argues that if children learn math carelessly in elementary school, that careless math will ultimately hinder them in middle and high school. While mathematical reasoning is crucial, he argues that it's only possible after solidifying a foundation in arithmetic and concepts.
Everyone knows that math determines college admissions.
If your child is still in elementary school, or even before the third year of middle school, there is plenty of time to prepare for it.
The most effective method would be to gradually build the foundation from calculation to thinking skills.
[A word from the author]
“It goes without saying, but the most important thing in mathematics is thinking skills.
The problem is that thinking skills don't just fall from the sky; they have to be developed one by one.
I believe that computation and concepts are essential for developing thinking skills.”
GOODS SPECIFICS
- Date of publication: September 28, 2020
- Page count, weight, size: 288 pages | 416g | 150*210*16mm
- ISBN13: 9791188758265
- ISBN10: 1188758268
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