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I recommend reading "Ancient and Modern Mathematical Thought", written by an American, a tome. If you like mathematics, you will definitely be attracted and blown away by this book. You can tell from the title what you are talking about, haha.
You can see all kinds of mathematical thinking throughout the ages. The author is engaged in teaching mathematics, so the writing is very suitable for students. If you are a freshman in high school, you can read the first and third books without reading the later lectures on advanced mathematics, the first book is similar to history, and the third book is the mathematical ideas summarized by the author.
It's well worth reading, perusing it.
There is also a book written by the Soviets, "The Content, Method and Meaning of Mathematics", which talks about the thinking methods of different branches of mathematics. You can go and see what you've learned so far. It's also a book that's easy to understand, but it's worth savoring.
Both of these books are very systematic and can help you establish a general concept of mathematics. It is also a well-recognized mathematical masterpiece that will not lead you astray. There are many kinds of popular mathematics books on the market, but most of them are commercial books.
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In the first semester of the first semester of high school, there are places to study compulsory 1 and 4, the main content of compulsory 1 is "set" and "function", and the main content of compulsory 4 is "trigonometric function" and "vector". However, in some places, the study of compulsory 1 and compulsory 2 is the main content of compulsory 2 is "Solid Geometry", the simple "Analytic Geometry". For example, the linear equations learned in junior high school, the equations of the garden and some of their property relationships.
In the first semester of the first semester of high school, the first compulsory course must be learned, and the chapter on functions must be learned well, which includes the concept, image, properties of functions, and some basic functions, such as quadratic functions, exponential functions, logarithmic functions, power functions, etc.
The content in Compulsory 3 is simpler, including "Preliminary Statistics", "Algorithms", and "Probability". Except for algorithms, we have already been exposed to other things in junior high school.
In the second year of high school, we should study compulsory five, the main content is "Number Series", "Inequality", etc., for the analytic geometry we learned in the first year of high school, and in the second year of high school, we will learn "Conic Curve" and so on. Of course, functions and derivatives, parametric equations and polar coordinates should also be studied in the second year of high school. Depending on the location, there are also some different content of the elective courses.
First of all, it is important to develop good listening habits in the classroom. Of course, listening is the main thing, listening can make you concentrate, and you must understand and listen to the key parts of what the teacher says. When listening, pay attention to thinking and analyzing problems, but just listening without memorization, or just remembering without listening will inevitably take care of one or the other, and the classroom efficiency is low, so you should take good notes appropriately and purposefully, and understand the main spirit and intention of the teacher in the class.
Scientific note-taking can improve the effectiveness of 4-5 minute lessons.
Secondly, to improve the ability of mathematics, of course, through the classroom, to make full use of the classroom position, the process of learning mathematics is alive, the object of the teacher's teaching is also alive, are changing with the development of the teaching process, especially when the teacher pays attention to the ability to teach, the teaching materials are not reflected. Mathematical ability is formed at the same time as knowledge occurs, whether it is forming a concept, mastering a law, or being able to do an exercise, it should be cultivated and improved from different perspectives of ability. In the classroom, through the teacher's teaching, you can understand the position of the content you have learned in the textbook and understand the connection with the knowledge before and after, etc., and only by grasping the textbook can you grasp the initiative of learning.
Again, if a math class doesn't have a certain speed, it's an ineffective learning. Slow learning is not able to train the speed of thinking, can not train the agility of thinking, is not able to cultivate mathematical ability, which requires that there must be rhythm in mathematics learning, so that over time, the agility of thinking and mathematical ability will gradually improve.
Finally, in the math classroom, the teacher usually asks questions, plays boards, and sometimes accompanies problem discussions, so you can hear a lot of information, and these questions are very valuable. For those typical problems, the problems with universal nature must be solved in a timely manner, and the crux of the problem cannot be left behind, or even precipitated, the valuable problems must be grasped in a timely manner, and the remaining problems must be made up in a targeted manner, and practical results must be emphasized.
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Math Extracurricular Books for High School Students 1Mathematical Meditations
by [Beauty] Levi.
A talented author can write about popular science thoroughly and funny, and ordinary readers without professional training can also feel the fun of speculation through books.
2.The Mystery of Mathematics
by Richard Cochran. This book "The Mysteries of Mathematics" is an introductory book about mathematical equations. It is a relatively advanced mathematical theory, which is more complicated for children in elementary school, and is more suitable for children from junior high school to high school.
Some of the mathematical examples, the stories of mathematicians, and the history of these theories, etc., I think they can be explained to children, so that children can receive enlightenment about the concept of mathematical equations.
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The textbooks of mathematics, liberal arts, and sciences in the second year of high school are different, and there are differences across the country, which are roughly as follows:
1. Science: Compulsory 2 (Preliminary Analytic Geometry and Solid Geometry), Elective 2-1 (Conic Curve), Elective 2-2 (Principles of Classification and Notation), Elective 2-3 (Permutation and Combination).
2. Liberal Arts: Compulsory 2 (Preliminary Analytic Geometry and Solid Geometry), Elective 1-1 (Plane Geometry), Elective 1-2 (Principles of Counting).
Among them, the elective 2 series are mainly functions, statistics and probability, logic, conic curves, space vectors and geometry, derivatives, reasoning and proof, number system expansion and complex numbers, and counting principles.
Elective 4 series is mainly topical, such as coordinate system and polar coordinates, selected lectures on geometric proofs, etc. The other 4 series belong to the category of elective courses, such as inequality selection, number series and difference, etc.
In the second year of high school, students will learn the key knowledge of elective textbooks: space vectors, reasoning and proof (focusing on mathematical induction), plane analytic geometry, derivatives, and counting principles.
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There are several books on high school math that are introduced below:
There are five books on high school math compulsory. They are "High School Mathematics Compulsory I", "High School Mathematics Compulsory II", "High School Mathematics Compulsory III", "High School Mathematics Compulsory IV", and "High School Mathematics Compulsory V".
High school mathematics is a subject studied by high school students across the country. High school mathematics is mainly divided into two parts: algebra and geometry. These include:
Sets and Functions", Trigonometric Functions, Inequalities, Number Sequences, Complex Numbers, Permutations, Combinatorials, Binomial Theorems, Solid Geometry, Plane Analytic Geometry, etc.
High school mathematics is mainly divided into two parts: algebra and geometry. Algebra is mainly a primary function, a quadratic function, an inverse proportional function, and a trigonometric function; Geometry is divided into two parts: plane analytic geometry and solid geometry.
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"The Source and Flow of Mathematics", "From One to Infinity", "How to Solve Problems".
Advanced Mathematics, Linear Algebra, Probability Theory and Mathematical Statistics. The proportion of each subject is 56% in Advanced Mathematics, 22% in Linear Algebra, and 22% in Probability Theory and Mathematical Statistics.
The examination subjects of Mathematics II for the postgraduate entrance examination are: Advanced Mathematics and Linear Algebra. In the test questions, the proportion of each subject is:
78% in Advanced Mathematics and 22% in Linear Algebra.
Graduate School Selection:
The three books (the region, the school, and the major) are the easiest to succeed.
Three-span (cross-regional, cross-school, cross-professional) is the most difficult to succeed.
One book and two spans (this major, cross-regional, cross-school) is the most ideal.
Two students and one cross-border (local, major, cross-school) are the most successful.
In the first year of high school, most of the math examines basic concepts and the like. >>>More
First, it is important to be familiar with the textbook (at the beginning, my personal requirement was to memorize it word for word), which is very important, who said that mathematics is only science? Have you ever seen 1+1 and ask what is equal to 2? It's not like you've been in elementary school yet. >>>More
It's only a freshman in high school, don't be so pessimistic, okay, be optimistic. There are still two years left in high school, and the knowledge of the first year of high school is still very important, and some of them are basic, and they are related to what you will learn in the future, so you should pay attention to them. If you still want to do a good job in learning, then sort out the ones you have taught in the first year of high school, get a knowledge point collation book and a wrong question book or something for each course, do more questions, find some questions that you don't understand well in the exam and often test, you really can't go to the teacher and classmates to ask them, and figure out those who don't understand and are easy to make mistakes, don't delay and delay. >>>More
I'm also a freshman in high school, although I'm a representative of mathematics, but it's not very good, and the 135 test is a miracle, and if you are in physical chemistry, you just need to read more books in chemistry, and in physics, I'm really annoying to the electric field, and it's good to see too much. >>>More
In fact, mathematics is to do more, if you can insist on doing a set of math problems related to the content you are learning every day at home during the holidays, then I dare to guarantee that you will improve a lot in mathematics during a vacation, and you will also have an advantage over other students after the start of school. Another is to find a good math teacher, I recommend you to teach your teacher in the first year of high school, because he should know whether you have a solid foundation or need to improve in problem-solving skills. Hope it helps.