Typical Application Problems in High School - Selected

Author: Song Chuanli
Publisher:
Publish Date: 2004-01-01
Features: This volume, "Selected Typical Application Problems for High School," has the following characteristics:
1. Organized in Order, Broad and Deep Development: Based on the arrangement of the current curriculum system and combined with students' life experiences, the overall design of the problem scenarios is created. The selected examples are typical, exemplary, and transferable, either demonstrating certain modeling strategies, permeating specific mathematical methods, or providing important connections. The entire book uses the practical value inherent in the typical examples to vertically dig and horizontally extend, aiming to broaden students' horizons, optimize application structures, stimulate thinking, and cultivate abilities.
2. Emphasis on Process, Focusing on Transformation: Problem-solving is closely linked to the entire process of "real-world problems — processing information — establishing models — solving problems," highlighting the thinking, methods, and strategies for extracting, analyzing, and processing information. From a holistic perspective, the structure and characteristics of real-world problems are grasped, transformed, or generalized into the structure and characteristics of certain mathematical knowledge to determine the corresponding mathematical model. Emphasizing the process and inspiring thinking can achieve the effect of "less effort for more results."
3. Using Methods to Guide Problems, Using Problems to Explain Methods: To achieve "，," it is essential to pay attention to methods. This book not only focuses on the application of major methods such as the function perspective, problem transformation, combining numbers and shapes, and reverse thinking but also emphasizes the flexible use of minor methods such as observation and comparison, elimination and substitution, logical reasoning, and classification discussions. The entire book uses methods to guide problems, explains methods with problems, balances methodological principles and reasoning, and is highly enlightening.
4. Keeping Pace with the Times, Clear Direction: From the application-oriented solution problems in past middle school and high school exams, such as population and land, sewage treatment, the working principle of cold-rolling machines, tomato cultivation, environmental protection and tourism, and urban car ownership, all exhibit clear temporal characteristics, directly addressing social hotspots and fully reflecting the teaching, social, and selection functions of mathematics, representing the direction of mathematical application in problem-setting. This book is suitable for senior high school students preparing for exams and can also be used by first and second-year high school students.