初中数学教学与思想方法的渗透  

Penetration of Mathematics Teaching and Thinking in Junior High School

作　　者：王爱玲[1] 贾冠军[1] 刘安勇[1] 

机构地区：[1]菏泽学院数学系,山东菏泽274015

出　　处：《教育研究前沿（中英文版）》2013年第2期56-59,共4页Education Research Frontier

基　　金：受山东省教育科学规划课题《新课程标准下数学教与学体系的构建与实践》资助（2011GG049）.菏泽学院教务立项《数学课程资源的开发和创新型人才的培养》（2011KK003）资助.菏泽学院精品课程群《大学数学系列课程》（2013J005）.

摘　　要：数学思想方法是中学数学的精髓，在教学中渗透数学思想方法能提高教学效果。本文列举了下列思想方法的渗透及作用：透渗符号化思想方法，加快学生从算术到代数转化的适应能力；渗透化归思想方法，提高学生解决问题的能力；渗透数形结合的思想方法，提高学生的数形转化能力和迁移思维的能力；渗透归纳思想方法，加强学生创造性思维和创新能力的培养；渗透方程与函数的思想方法，培养学生的建模能力；渗透分类讨论思想方法，培养学生全面观察事物，灵活处理问题的能力。加强数学思想方法的教学应用，对于提高教学质量，改变重结果、轻过程，重形式、轻思想的现状，培养高素质人才有着深远而重大的意义。Mathematical thinking is the essence of the mathematics in the phase of middle school, in which penetration mathematical thinking method contributes to the teaching efficiency in practice. This paper has listed some thinking methods, such as, penetration symbolic method that improves students＇ adaptive ability on the transformation from arithmetic to algebra; penetration normalization method that contributes to the problem-solving ability; penetration of the combination of characters and graphics method that improves the competence both on the transformation between characters and graphics, and knowledge migration; penetration inductive method that strengthens their innovation both on thought and practical ability; penetration equation and function that is responsible for the cultivation of their modeling ability; and penetration classified discussion method that is conductive to the competence on observation all-round and handling problem flexibly. It is of much significance to propel the application of mathematical thinking in teaching practice for the goal of improved teaching quality and the cultivation of highly competent talent.

关 键 词：数学思想方法 渗透 能力 

分 类 号：G633.6[文化科学—教育学]