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21世纪我国基础教育进入到新课改时代,为了适应时代发展的需求,解决传统应试教育所带来的弊端,培养学生健全的人格,极力需要构建新的基础教育体系.高中数学教学中,往往存在学生压力过大,解题效率过低,不仅挫伤学生学习积极性,而且难以发挥学生创造力,使得如何提高学生数学素质,高效解答数学题目,成为当前每一位高中数学教师亟需解决的重要任务之一.一、波利亚解题模型概述波利亚是一位经典分析大师,在变分学、概率论及函数论等多方面有深入研究.波利亚解题思想较丰富,其中最为经典的专著有《数学的发现》、《数学与猜想》及《怎样解题》等,其中《怎样解题》中的解题模型及解题表具有重要应用价值.在
In the 21st century, China’s basic education has entered an era of new curriculum reform, in order to meet the needs of the development of the times, to solve the drawbacks brought by the traditional examination-oriented education, and to develop a sound personality, we urgently need to build a new basic education system. Excessive pressure of students, problem-solving efficiency is too low, not only dampen students’ enthusiasm for learning, but also difficult to play a student’s creativity, making how to improve the mathematical quality of students to effectively solve the problem of mathematics has become the current high school mathematics teachers urgently need to be addressed One of the tasks.One, Polya problem-solving model overview Polia is a master of classical analysis, in variogram, probability theory and function theory and other aspects of in-depth study.Boria problem-solving ideas more abundant, including The most classic monographs include “Mathematical Discovery”, “Mathematics and Conjecture” and “How to Solve Problems”, among which the problem solving model and problem solving table in “How to Solve Problems” have important application value.