Very detailed explanation. Mathematics. Grade 11. First Semester.

Author: Zhang Zhizhao, Han Xinsheng (Editor-in-Chief)
Publisher:
Publish Date: 2005-04-01
Features: "Very Special Explanations," where "very special" means unique, novel, distinctive, unconventional, and out of the ordinary. This book series provides comprehensive explanations for all subjects' textbooks, with meticulous explanations, thorough analysis, clear structure, logical organization, rich content, and strong practicality and guidance in mastering key points, difficulties, and doubts of the textbooks, as well as in cultivating and improving understanding, analysis, judgment, comprehension, thinking, and problem-solving skills. It is another successful work by Longman Center following "Zhongxue 1+1," often regarded as its sister series. With the deepening of national basic education curriculum reform, the implementation scope of the "Curriculum Standards" for compulsory education is gradually expanding, and new educational concepts are being accepted by an increasing number of educators and the public. China's basic education is undergoing profound changes. The core of this transformation is a shift in role for teachers and a transformation in learning methods for students. In line with this spirit, to adapt to the deeper development of curriculum reform, this edition was revised this year after widely soliciting opinions from experts, teachers, students, and parents, resulting in significant modifications. The book has been revised in accordance with the principle of being based on yet superior to the new textbooks, providing comprehensive explanations, analysis, and guidance for its knowledge points and competency requirements. Each section includes the following columns: Curriculum Standards Requirements, Textbook Explanation, Method Guidance, and Consolidation Exercises. Among these, "Textbook Explanation" is the key focus of each section. It provides detailed explanations and analyses of each knowledge point in the chapters based on the new textbooks, emphasizing the expansion and cultivation of knowledge and skills, as well as the revelation and summary of patterns and methods. Through typical conventional problems, innovative open-ended problems, and practical application problems, students explore and experience the knowledge points of the new textbooks, and the design is structured around the following three points:
1. Comprehensive analysis of typical examples, with the following four columns:
① Thought Guidance: Provides insights into problem-solving strategies.
② Solution: Offers standardized answers based on the solution plan.
③ Error Analysis: Identifies common mistakes, explains their causes, and provides error prevention tips.
④ Annotations: Summarizes key points in the solution process and analyzes the critical aspects of problem-solving techniques. The purpose of these sub-columns is to open students' minds and focus on summarizing patterns and methods.
2. Attempt to solve related problems (or modified problems). Proposes questions related to or similar to the above typical problems from different angles, allowing students to achieve a thorough understanding through imitation during practice.
3. Each typical problem targets a specific knowledge point in the textbook, aiming to provide practical experience and exploration of related content through the study of examples.
During the writing process, the authors strive to explain all textbook content comprehensively, with a wealth of information, achieving precision in explanation, analysis, and selection. The explanations are thorough and insightful, with clear and detailed distinctions, and the analytical methods are novel, distinctive, and unconventional.
The "Very Special Explanations" series is meticulous in its explanations, thorough in its analysis, well-structured, logically organized, and rich in content. It is highly practical and instructive in mastering key points, difficulties, and doubts of the textbooks, as well as in cultivating and improving understanding, analysis, judgment, comprehension, thinking, and problem-solving skills. It is another successful work by Longman Center following the "Zhongxue 1+1" series, often regarded as its sister series. While the former focuses more on explaining and analyzing textbooks, the latter emphasizes the explanation and testing of key and difficult issues. They are both an integral whole and complement each other.
Learning the "Curriculum Standards" and updating educational concepts is an ongoing process; the implementation of curriculum reform also requires continuous exploration and accumulation. The revision of this book is a concrete implementation of learning the "Curriculum Standards" and reforming teaching content and methods. We hope our efforts can bring practical and effective help to teachers and students' teaching activities, and we also look forward to criticism and guidance from educators and experts.