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数学教学是一项培养人的活动,一般从智力因素、非智力因素、自学能力及将数学应用于社会几方面来培养学生的素质。  相似文献   

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在高等数学教学中,恰当地使用反例可加深学生对基本概念的理解和对基础知识的掌握,发现并纠正学习中的错误,培养学生的创新能力和良好的思维品质。  相似文献   

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Mathematics     
Lane SM 《Science (New York, N.Y.)》1980,209(4452):104-110
Current research in mathematics involves a wide variety of interlocking ideas, old and new. For example, results about the curves and surfaces defined by polynomial equations, as in algebraic geometry, appear in the study of solitary waves and also in the gauge theories in physics. Centuries-old problems in number theory have been solved, while others have been revealed as insoluble. The classification of all finite simple groups is nearly achieved (and the full treatment will be voluminous); the representation of groups aids in their application to the study of symmetry. These developments, and many others, attest to the vitality of mathematics.  相似文献   

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数学概念的学习   总被引:4,自引:0,他引:4  
数学的一个显著特点就是它的抽象性.抽象的主要表现是:定义了一系列新的概念.谈了数学概念学习的步骤,数学概念理解程度的体现,以及学习概念应抓住的几个环节.  相似文献   

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Foote R 《Science (New York, N.Y.)》2007,318(5849):410-412
Contemporary researchers strive to understand complex physical phenomena that involve many constituents, may be influenced by numerous forces, and may exhibit unexpected or emergent behavior. Often such "complex systems" are macroscopic manifestations of other systems that exhibit their own complex behavior and obey more elemental laws. This article proposes that areas of mathematics, even ones based on simple axiomatic foundations, have discernible layers, entirely unexpected "macroscopic" outcomes, and both mathematical and physical ramifications profoundly beyond their historical beginnings. In a larger sense, the study of mathematics itself, which is increasingly surpassing the capacity of researchers to verify "by hand," may be the ultimate complex system.  相似文献   

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数学教学中辩证法教育的基本任务是引导学生运用辩证观点,激发学生的创造性,培养学生解决实际问题的能力。数学中唯物辩证法教育的基本内容是说明数学的抽象以具体事物为基础,并迟早会在实践中得以应用;对立统一规律是数学发展的基本规律。数学中辩证法教育的基本要求及方法是:从哲学角度对数学内容进行抽象概括;摆出矛盾,解决矛盾;结合数学史,对学生进行辩证唯物主义世界观教育。  相似文献   

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本文主要研究了几个数学建模案例在高等数学教学中的应用,通过案例能够更好地理解高等数学中零点定理、微分方程的概念以及数学期望的知识点。进一步分析了将数学建模思想融入高等数学教学过程中的必要性,提升了学生学习高等数学的意识,进而培养学生利用数学思想去解决实际问题的能力。  相似文献   

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Mathematics (a)     
《Science (New York, N.Y.)》1968,162(3858):1158-1159
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