Study Methods for Chinese Students. Middle School Mathematics Edition (Subject Edition)

Author: Ding Xiaoshan
Publisher:
Publish Date: 2005-09-01
Features:
To excel in mathematics, physics, and chemistry, mathematics is the foundation. This book comprehensively and systematically introduces methods, techniques, and strategies for learning mathematics effectively from several perspectives, such as "General Methods for Learning Mathematics," "Building a Strong Foundation in Mathematics," and "Practical and Efficient Problem-Solving Methods." It also gathers the valuable experiences of numerous frontline mathematics teachers across the country, summarizes study skills of current students, and includes insights from top science students of Tsinghua University.
To excel in mathematics, physics, and chemistry, mathematics is the foundation. This book comprehensively and systematically introduces methods, techniques, and strategies for learning mathematics effectively from several perspectives, such as "General Methods for Learning Mathematics," "Building a Strong Foundation in Mathematics," and "Practical and Efficient Problem-Solving Methods." It also gathers the valuable experiences of numerous frontline mathematics teachers across the country, summarizes study skills of current students, and includes insights from top science students of Tsinghua University.
Ding Xiaoshan, a renowned education expert and learning methods researcher, is known as the "Top Researcher in Learning Methods for Primary and Secondary Schools in China."
Part 1: An Overview of Middle School Mathematics
Part 1: An Overview of Middle School Mathematics
What is Mathematics?
What is Mathematics?
According to dictionaries, mathematics is the science that studies the spatial forms and quantitative relationships of the real world, including arithmetic, algebra, geometry, trigonometry, calculus, etc.
According to the "New Curriculum Standards," mathematics is the process by which people qualitatively grasp and quantitatively describe the objective world, gradually abstract and generalize, form methods and theories, and apply them widely. Mathematics is an essential tool for daily life, work, and study. It helps us process data, perform calculations, reasoning, and proofs. Mathematical models can effectively describe natural phenomena and social phenomena. Mathematics provides language, ideas, and methods for other sciences and is the foundation for all major technological advancements.
Great figures have said, "Mathematics is the key to opening the door to science; neglecting mathematics will lead to harm in all knowledge." (R. Bacon, British scholar) "Mathematics is the queen of the sciences." (Carl Friedrich Gauss, German mathematician) "To learn any knowledge, one must first learn mathematics. Mathematics is the highest in the hierarchy of science. Regardless of general or specialized education, mathematics education is the starting point of all education." (Auguste Comte, French philosopher) "A science, only when it successfully applies mathematics, can it reach a truly perfect state." (Karl Marx)
Teachers say, mathematics is a core subject and must be studied well. Teachers also say that mathematics is a subject that requires great mental effort, strict requirements, and extensive training.
Top students say, mathematics is actually an easy subject to score in and is not difficult to learn, of course, the learning methods must be correct.
Commentary
Now you know what mathematics is, right? When we study mathematics, we shouldn’t just focus on exams; we should also apply it fully in real life. Why must we study mathematics?
The immediate reason is: mathematics is a subject, and without studying it, you won’t get a grade. In junior high school, not only do you need to look at your arithmetic scores, but you also need to ask about your "Olympiad" performance. In high school, you must pass the "Junior High School Entrance Examination," and mathematics is a mandatory subject. After entering high school, you will be divided into liberal arts and sciences, but whether you study liberal arts or science, mathematics is still a mandatory subject in the college entrance examination. Even if you study liberal arts in college, you still need to take advanced mathematics.