When the author of this book was in high school, learning mathematics was very painful, even to the point where he was nervous and anxious at the thought of the next math class. He wrote in the preface: "Now I am a math teacher myself. When I stand on the podium, I can often see myself suffering from "math phobia". He can't establish a close relationship with mathematics, and he will feel depressed and incompetent because he can't understand mathematical formulas and solve problems correctly. I don't want my students to feel such fear and helplessness in the face of mathematics, so I spend a lot of time and thoughts to optimize math classes after class: translating mathematical symbols and formulas into ordinary language, explaining knowledge points with stories, improving students' mathematical intuition with analogies and images, creating a supportive and inclusive learning atmosphere, and dealing with "mistakes" with students. The mathematics explanation in the second half of this book is a systematic arrangement of my above teaching ideas. I call it the optimized version of senior high school mathematics, which has three main optimization points: one is more approachable mathematics, which explains all mathematical symbols and formulas in daily language; Second, the main knowledge points of high school mathematics have been reorganized in a more story-telling and logical way; Third, to better connect with the teaching methods of universities, universities require understanding and application of mathematics learning, rather than skilled problem solving. The mathematical explanation in this book focuses on the understanding of knowledge points and the construction of mathematical system. Here, I want to talk more about the connection with the university. The main difference between domestic high school mathematics and European and American high school mathematics is the connection with college mathematics. High school mathematics in Europe and America is very close to the university style in content and form, but domestic students often face the pain of transformation when they go to college, because the problem-solving skills we cultivate in high school are not important in college mathematics, but the important thing is mathematical intuition (association, analogy, image, structure, connection with daily life, etc. ) We neglected this point. I hope this book can alleviate the pain of students' transformation, let readers stick their heads out in the sea of questions and enjoy college-style high school mathematics. Perhaps among the readers are the policy makers of China's future mathematics education. Apple CEO Cook once said that a good job is to "make things better than when you found them." What makes you do is more beautiful than when you first met it. I believe I did a good job. "
No matter how good the book is, you should find the right person. The book How to Become a Master of Learning is a minority book. Mainly for students and teachers who have higher requirements for mathematics learning and explanation. The book almost covers the main knowledge points of high school mathematics:
1. Image transformation and elliptic equation of toy example method
2. Extreme hyperbola, polynomial function and rational function
3. Exponential and Logarithmic Functions of Story Method
4. Number-shape combination method unit circle and trigonometric function
5. Sum of Paired Thought Series
6. Product sum difference thinking vector
7. Isomorphic permutation and combination, binomial expansion and binomial probability
8. Draw conditional probability and Bayesian rules
9. Contrast plural numbers
10. Common sense thinking calculus
If readers want to know the essence of these knowledge points, this book will bring you unexpected surprises!