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《Studies in College Mathematics》 2018-05
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On “New Knowledge for Old Exercises” and “New Exercises to Old Knowledge” in Teaching College Mathematics

MA Chao;MIAO Lian;TIAN Yujuan;School of Mathematical Sciences,University of Jinan;School of Mathematics and Statistics,Shandong Normal University;  
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.
【Fund】: 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)
【CateGory Index】: O13-4;G642
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