Xiong Xiaodong High School Mathematics Special Topic Lectures - 20 Lectures

Author: Xiong Xiaodong (Editor)
Publisher:
Publish Date: March 1, 2005
Features:
Xiong Xiaodong, a renowned teacher, teaches at the century-old Shanghai Nanyang Model High School;
Xiong Xiaodong has nearly 30 years of experience in high school mathematics teaching;
Xiong Xiaodong once achieved an astonishing average score of 134 in the college entrance examination;
Xiong Xiaodong has visited the United States three times to study and lecture at Columbia University;
Xiong Xiaodong once delivered a keynote speech at the National Council of Teachers of Mathematics Annual Meeting.
Starting from February 18, 2005, from 19:00 to 20:00 every day, the Dongfang People's Broadcasting Station (AM792/FM89.9) "Urban 792 Gas Station" college entrance examination hotline will feature a special textbook on mathematics, with live broadcasts by Teacher Xiong Xiaodong. For more details, please visit Sina News (Shanghai), making mathematics no longer a barrier for you.
For senior high school mathematics, after systematically reviewing the "three foundations" (basic knowledge, basic skills, and basic methods) of students, cultivating mathematical thinking methods, developing mathematical awareness, and improving the ability to apply mathematics are very important. This is not only necessary for the college entrance examination but also plays a significant role in students' future university studies, lifelong learning, and career development. Based on the use of Xiong Xiaodong's 100 Lectures on High School Mathematics Review and Xiong Xiaodong's 30 Sets of High School Mathematics Review Tests, Mr. Xiong Xiaodong has specifically designed Xiong Xiaodong's 20 Lectures on High School Mathematics Review Topics for senior high school students every year.
The topic lectures focus on interconnecting key knowledge points, introducing new types of questions, such as "Functions, Equations, Inequalities, and Their Graphs," "Abstract Functions and Problem-Solving Strategies," "Contacting 'Fixed Points'," "Vectors and Solid Geometry," "Vectors and Analytic Geometry," and so on. The topic lectures also introduce important mathematical thinking methods, such as "Combining Numbers and Shapes," "Classification and Discussion," "Transformation and Analogy," "Learning to Use Construction Methods," "Reverse Thinking and Proof by Contradiction," and so on.
Although middle school mathematics only covers very basic and superficial mathematical knowledge, students should have a deep understanding of the characteristics of mathematics. The Topic Lectures teach students that mathematics is abstract—learning to discard all properties of real objects and retain only their spatial forms and quantitative relationships will make the study of complex numbers, functions, and future abstract concepts like differentiation, integration, functional analysis, n-dimensional, and even infinite-dimensional spaces feel natural and effortless. The Topic Lectures also teach students that mathematics is precise. The logical rigor of mathematical conclusions and the precision of mathematical reasoning are undeniable and certain. The Topic Lectures further tell students that the application of mathematics is extremely broad, not only in daily life but also in all modern technology and almost every science.
The Topic Lectures are high in ambition, wide in scope, and innovative in question types. In practice, they have been very popular among examinees. For example, in the 2003 Shanghai exam, the last major question tested abstract functions, which was very difficult and new in type, but students who had attended the topic lectures found it easy to tackle.
Xiong Xiaodong's 20 Lectures on High School Mathematics Review Topics is a reference book for senior high school students during the final sprint phase, as well as an ideal reference for young teachers and high school mathematics teachers in various schools.