The easiest differentiation lesson taught by ants
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Description
Book Introduction
Differentiation becomes more interesting as you read.
A one-book, comprehensive guide to differentiation that's more effective than any other pre-learning.
The one book that will bring light to students who struggle with math!
According to recent statistics, more than 60% of current high school students are dropouts.
This is an unusually high figure compared to other subjects.
Differentiation is usually first learned in the second year of high school, but by then, there is a high probability that you will have already become what is called a dropout.
The author says that if you understand differentiation, you can grasp the main topic of higher mathematics.
I am confident that understanding differentiation will make math class content more fun and build confidence, significantly reducing the number of students who drop out.
This is the author's greatest motivation and purpose for writing this book.
The greatest strength of "The Easiest Differentiation Lesson Taught by Ants" is that the contents of each chapter are very organically connected.
The connection between each piece of content in textbooks and workbooks is never smooth.
The reality of our country's math education is that students are most likely to be reading books that are the least friendly to them.
These math reference books are not interested in overall understanding, but rather focus on explaining only the content that needs to be learned at that moment in time and devote a lot of space to problem solving.
This book uses a virtual tool called 'differentiation ant' to explain the core concepts and principles of differentiation in the easiest way possible.
The table of contents has been organized to be as fun as possible, but also to cover about 70% of the differential calculus that students should learn in high school, and to be accessible even to those who have not yet completed the course.
This will be the best strategy for learning mathematics while introducing the fun of mathematics to students who are learning differentiation for the first time, students who have learned differentiation but cannot even think about solving problems, and students who want to clearly reorganize the concept of differentiation.
A one-book, comprehensive guide to differentiation that's more effective than any other pre-learning.
The one book that will bring light to students who struggle with math!
According to recent statistics, more than 60% of current high school students are dropouts.
This is an unusually high figure compared to other subjects.
Differentiation is usually first learned in the second year of high school, but by then, there is a high probability that you will have already become what is called a dropout.
The author says that if you understand differentiation, you can grasp the main topic of higher mathematics.
I am confident that understanding differentiation will make math class content more fun and build confidence, significantly reducing the number of students who drop out.
This is the author's greatest motivation and purpose for writing this book.
The greatest strength of "The Easiest Differentiation Lesson Taught by Ants" is that the contents of each chapter are very organically connected.
The connection between each piece of content in textbooks and workbooks is never smooth.
The reality of our country's math education is that students are most likely to be reading books that are the least friendly to them.
These math reference books are not interested in overall understanding, but rather focus on explaining only the content that needs to be learned at that moment in time and devote a lot of space to problem solving.
This book uses a virtual tool called 'differentiation ant' to explain the core concepts and principles of differentiation in the easiest way possible.
The table of contents has been organized to be as fun as possible, but also to cover about 70% of the differential calculus that students should learn in high school, and to be accessible even to those who have not yet completed the course.
This will be the best strategy for learning mathematics while introducing the fun of mathematics to students who are learning differentiation for the first time, students who have learned differentiation but cannot even think about solving problems, and students who want to clearly reorganize the concept of differentiation.
- You can preview some of the book's contents.
Preview
index
prolog
Turning Point for Change
PART 1 What on earth is differentiation?
Studying Differentiation with a Story
Like translating a poem
Like appreciating a work of art
Image of differentiation
PART 2 Differentiation as Taught by Ants
Find the slope of the mountain felt by the ant.
Thought experiment using ants
The shape of the mountain that the ants will travel
Draw the tangent felt by an ordinary differential ant.
The slope felt by the ant as it moves along the curve
The slope felt by a swarm of ants as they move along a straight line
Differentiation taught by GPS ants
A Thought Experiment with GPS-Differentiated Ants
Differentiation of simple quadratic functions
Differences in language between regular and GPS ants
Differentiation properties of cubic functions
Differentiation of cubic functions using GPS differentiation ants
Differentiate the pointed mountain
Polynomial functions from the perspective of differentiation
change exponentially
Differentiation properties of exponential functions as explained by GPS Differentiator Ant
How arrow-differentiating ants scan functions
Thought experiment using arrow-differentiating ants
Scanning polynomial functions
The concept of maximum and minimum
Differentiation Art Museum Work 1
PART 3: How Ants Escape Extreme Situations
Cornered ants
Extreme Experiment 1
Extreme Experiment 2
Find the universal key
The core idea of differentiation
Differential universal key
Differentiation Art Museum Work 2
How to use the differential universal key
Differentiation of quadratic functions using universal keys
How to use the differential universal key
The story of the ghost of the differential
Solve problems using differentiation
Differentiation as a tool for analyzing functions
Interpretation of physical situations and differential equations
Artwork from the Differentiated Art Museum 3
Scan the function by deciphering the differential code
Code to scan functions
Scanning quadratic functions
Differential code decoding practice
PART 4: The Story of Differentiation That Creates Change
The magic of Euler's number e
smoothly varying logarithmic function
Challenge the differentiation of exponential functions
Challenge the differentiation of logarithmic functions
Differentiation Museum Work 4
Differentiation results of exponential and logarithmic functions
Transformers and Differentiation
composite function
Inverse function
Wild Differentiation Problem
Differentiation of composite functions
Differentiation of inverse functions
Artwork 5 of the Differentiated Art Museum
Geometric meaning of second derivatives
Scanning cubic functions properly
Relationship between differentiation and integration
Artwork 6 of the Differentiated Art Museum
Epilogue
Turning Point for Change
PART 1 What on earth is differentiation?
Studying Differentiation with a Story
Like translating a poem
Like appreciating a work of art
Image of differentiation
PART 2 Differentiation as Taught by Ants
Find the slope of the mountain felt by the ant.
Thought experiment using ants
The shape of the mountain that the ants will travel
Draw the tangent felt by an ordinary differential ant.
The slope felt by the ant as it moves along the curve
The slope felt by a swarm of ants as they move along a straight line
Differentiation taught by GPS ants
A Thought Experiment with GPS-Differentiated Ants
Differentiation of simple quadratic functions
Differences in language between regular and GPS ants
Differentiation properties of cubic functions
Differentiation of cubic functions using GPS differentiation ants
Differentiate the pointed mountain
Polynomial functions from the perspective of differentiation
change exponentially
Differentiation properties of exponential functions as explained by GPS Differentiator Ant
How arrow-differentiating ants scan functions
Thought experiment using arrow-differentiating ants
Scanning polynomial functions
The concept of maximum and minimum
Differentiation Art Museum Work 1
PART 3: How Ants Escape Extreme Situations
Cornered ants
Extreme Experiment 1
Extreme Experiment 2
Find the universal key
The core idea of differentiation
Differential universal key
Differentiation Art Museum Work 2
How to use the differential universal key
Differentiation of quadratic functions using universal keys
How to use the differential universal key
The story of the ghost of the differential
Solve problems using differentiation
Differentiation as a tool for analyzing functions
Interpretation of physical situations and differential equations
Artwork from the Differentiated Art Museum 3
Scan the function by deciphering the differential code
Code to scan functions
Scanning quadratic functions
Differential code decoding practice
PART 4: The Story of Differentiation That Creates Change
The magic of Euler's number e
smoothly varying logarithmic function
Challenge the differentiation of exponential functions
Challenge the differentiation of logarithmic functions
Differentiation Museum Work 4
Differentiation results of exponential and logarithmic functions
Transformers and Differentiation
composite function
Inverse function
Wild Differentiation Problem
Differentiation of composite functions
Differentiation of inverse functions
Artwork 5 of the Differentiated Art Museum
Geometric meaning of second derivatives
Scanning cubic functions properly
Relationship between differentiation and integration
Artwork 6 of the Differentiated Art Museum
Epilogue
Detailed image
Publisher's Review
Understanding differentiation makes studying math more enjoyable.
★★★★★
A must-read book for everyone from middle school to high school seniors
Introduction to Differentiation for School and College Entrance Exams
Highly recommended by parents and teachers
Catch up on 'differentiation' that even beginners can understand in one breath!
Even students who were at the top of their class in middle school often struggle with math after entering high school, and their overall grades, including other subjects, often decline.
This is because simple rote learning, which could produce a certain level of success up until middle school, no longer works in high school mathematics.
It is an attempt to approach mathematics as a type rather than a concept, following the existing inertia, and to learn by simple rote memorization.
It is difficult to change a learning method that has become a habit.
For these students, high school math classes become a time of incomprehensible, alien language.
Class time is so hard, and I'm just anxious that I might get unlucky and be called out that day to solve a problem.
If you are experiencing this, where should you look for clues to solve it?
Just reading it, the concept of differentiation, which seemed like a secret code, begins to speak to me.
This book is perfect for those students.
This book explains the most difficult concept in advanced mathematics, differentiation, through a 'story' so that anyone with the average math knowledge of a third-year middle school student can easily understand it.
In addition, it naturally makes you realize that math is not about memorizing things, but rather about understanding the overall concept.
Not only will you be able to master the study method that starts with understanding the concepts, but you will also experience for yourself that if you understand the basic principles rather than blindly memorizing various formulas, you will be able to gradually solve difficult parts with ease.
I hope that many students will encounter this book and find the subject of mathematics more interesting and have the opportunity to ignite their motivation to study.
★★★★★
A must-read book for everyone from middle school to high school seniors
Introduction to Differentiation for School and College Entrance Exams
Highly recommended by parents and teachers
Catch up on 'differentiation' that even beginners can understand in one breath!
Even students who were at the top of their class in middle school often struggle with math after entering high school, and their overall grades, including other subjects, often decline.
This is because simple rote learning, which could produce a certain level of success up until middle school, no longer works in high school mathematics.
It is an attempt to approach mathematics as a type rather than a concept, following the existing inertia, and to learn by simple rote memorization.
It is difficult to change a learning method that has become a habit.
For these students, high school math classes become a time of incomprehensible, alien language.
Class time is so hard, and I'm just anxious that I might get unlucky and be called out that day to solve a problem.
If you are experiencing this, where should you look for clues to solve it?
Just reading it, the concept of differentiation, which seemed like a secret code, begins to speak to me.
This book is perfect for those students.
This book explains the most difficult concept in advanced mathematics, differentiation, through a 'story' so that anyone with the average math knowledge of a third-year middle school student can easily understand it.
In addition, it naturally makes you realize that math is not about memorizing things, but rather about understanding the overall concept.
Not only will you be able to master the study method that starts with understanding the concepts, but you will also experience for yourself that if you understand the basic principles rather than blindly memorizing various formulas, you will be able to gradually solve difficult parts with ease.
I hope that many students will encounter this book and find the subject of mathematics more interesting and have the opportunity to ignite their motivation to study.
GOODS SPECIFICS
- Publication date: June 30, 2021
- Page count, weight, size: 208 pages | 326g | 153*225*13mm
- ISBN13: 9791158741204
- ISBN10: 1158741200
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