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将课程思政有机融入中职数学课程内容与教学中是实现立德树人根本任务的必然要求.本文中结合具体教学设计从挖掘数学演进相关文献史料、数学美育元素和数学家的数学探索过程等方面探讨了课程思政元素有机融入中职数学课程教学的策略. 相似文献
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本文探究在可分离变量的微分方程融入课程思政的教学设计.通过实际案例创设问题情境,建立可分离变量微分方程的模型,探索和思考方程的求解过程.将疫情和数学建模结合,自然融入思政元素,实现知识传授与价值引领相结合,焕发时代的色彩. 相似文献
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微课易于学生聚焦教学的重难点,便于学生的自主学习.本文以融入思政元素的“求曲面的面积”的微课设计为例,将高等数学课程与思政紧密结合,既提高了教学效果,又培养了学生的优良品质. 相似文献
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本文呈现了“数列”一课的教学预设和教学过程.教师在设计教学时适时的融入课程思政的元素,让学生在学习专业课程的同时受到思想政治的熏陶,落实立德树人的教育目的.通过教学实践,融入爱国主义元素,启发学生积极思考,在提升学生思维能力的同时,也提升了思想政治觉悟. 相似文献
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数学实验与数学建模 总被引:16,自引:4,他引:12
姜启源 《数学的实践与认识》2001,31(5):608-612
继数学建模之后 ,一门新的课程——数学实验——引起不少教师的注意 ,本文根据作者的教学实践对数学实验课程的指导思想、内容和方法 ,以及与数学建模课的关系等问题提出一些看法 . 相似文献
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根据创新教育的要求和新的课程改革的需要,针对高等学校应用数学类课程的特点和课堂教学现状,探讨建立应用数学类课程“思政教育”的教学模式.以《离散数学》和《概率论与数理统计》课程教学为例,探讨如何根据应用数学类课程的知识特点,在教学设计中合理融入思政教育,使学生在掌握知识的同时,形成科学精神、探索创新精神,培养其乐观向上、自强不息的人生态度,提高数学素养与文化素养. 相似文献
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Janusz Zieliński 《Central European Journal of Mathematics》2010,8(4):780-785
Border bases are an alternative to Gröbner bases. The former have several more desirable properties. In this paper some constructions and operations on border bases are presented. Namely; the case of a restriction of an ideal to a polynomial ring (in a smaller number of variables), the case of the intersection of two ideals, and the case of the kernel of a homomorphism of polynomial rings. These constructions are applied to the ideal of relations and to factorizable derivations. 相似文献
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Ghorpade Sudhir R. Pratihar Rakhi Randrianarisoa Tovohery H. 《Journal of Algebraic Combinatorics》2022,56(4):1135-1162
Journal of Algebraic Combinatorics - We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion of shellability for such complexes. It is shown that... 相似文献
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Resolvents and dimensions of modules and rings 总被引:3,自引:0,他引:3
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Jesús M. F. Castillo Ricardo García Jesús Suárez 《Mediterranean Journal of Mathematics》2012,9(4):767-788
We study the problem of extension and lifting of operators belonging to certain operator ideals, as well as that of their associated polynomials and holomorphic functions. Our results provide a characterization of ${\mathcal{L}_1}$ and ${\mathcal{L}_\infty}$ -spaces that includes and extends those of Lindenstrauss-Rosenthal [32] using compact operators and González-Gutiérrez [23] using compact polynomials. We display several examples to show the difference between extending and lifting compact (resp. weakly compact, unconditionally convergent, separable and Rosenthal) operators to operators of the same type. Finally, we show the previous results in a homological perspective, which helps the interested reader to understand the motivations and nature of the results presented. 相似文献
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Roger Howe 《Journal of Functional Analysis》1979,32(3):297-303
Let (i, H, E) and (j, K, F) be abstract Wiener spaces and let α be a reasonable norm on E ? F. We are interested in the following problem: is () an abstract Wiener space ? The first thing we do is to prove that the setting of the problem is meaningfull: namely, i ? j is always a continuous one to one map from into . Then we exhibit an example which shows that the answer cannot be positive in full generality. Finally we prove that if F=Lp(X,,λ) for some σ-finite measure λ ? 0 then (X,,λ) is an abstract Wiener space. By-products are some new results on γ-radonifying operators, and new examples of Banach spaces and cross norms for which the answer is affirmative (in particular α = π the projective norm, and F=L1(X,,λ)). 相似文献
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William Y. C. Chen Eva Y. P. Deng Rosena R. X. Du Richard P. Stanley Catherine H. Yan 《Transactions of the American Mathematical Society》2007,359(4):1555-1575
We present results on the enumeration of crossings and nestings for matchings and set partitions. Using a bijection between partitions and vacillating tableaux, we show that if we fix the sets of minimal block elements and maximal block elements, the crossing number and the nesting number of partitions have a symmetric joint distribution. It follows that the crossing numbers and the nesting numbers are distributed symmetrically over all partitions of , as well as over all matchings on . As a corollary, the number of -noncrossing partitions is equal to the number of -nonnesting partitions. The same is also true for matchings. An application is given to the enumeration of matchings with no -crossing (or with no -nesting).