摘要
基于新知识的学习和具体的教学过程,通过不同大学数学课程中的几个例子,结合具体的教学设计,阐述了利用"新知识求解旧习题"和"旧知识求解新习题"在大学数学类课程教学中的实际应用.该方法在教学中的灵活应用能帮助学生很好地掌握新知识、巩固已学知识、培养思维灵活性;并能够锻炼学生解决实际问题时发散思维、多角度进行思考的能力.
Based on the study of new knowledge and specific teaching process, this paper describes the use of new knowledge to solve old exercises and the use of old knowledge to solve new exercises in college mathematics teaching, through several examples of different mathematical curricula and the specifically designed teaching cases. We believe this teaching method will help students mastering new knowledge, consolidating old knowledge, raising thought flexibility, and therefore improving their ability of divergent and multi-angle thinking in solving real problems.
作者
马超
苗丽安
田玉娟
MA Chao;MIAO Lian;and TIAN Yujuan(School of Mathematical Sciences,University of Jinan,Jinan 250022,P.R.C;School of Mathematics and Statistics,Shandong Normal University,Jinan 250358,P.R.C)
出处
《高等数学研究》
2018年第5期20-23,38,共5页
Studies in College Mathematics
基金
国家自然科学基金(11501333)
山东省自然科学基金(ZR2015AL015)
济南大学教学研究项目(JYLX1713)
关键词
新知旧题
新题旧知
大学数学
课程教学
new knowledge for old exercise
new exercise to old knowledge
college mathematics
curriculum teaching