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《高等数学》课程改革及内容调整的几点设想何瑞文童季贤(西南交通大学应用数学系,成都610031)当前高等数学课程体系和教学内容改革中遇到两对很突出的矛盾,即是大家承认原有的课程和内容不能适应当前科技进步的发展,需要改革,需要增加新的内容和现代数学的基... 相似文献
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分析独立学院高等数学课程体系的现状及存在的问题,阐述对独立学院高等数学课程体系构建的原则,并就课程体系中的教学模式、教学内容、与教材建设方面提出一些方案和建议. 相似文献
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用问题激发学生学习高等数学兴趣的研究 总被引:1,自引:0,他引:1
问题是激发学生学习高等数学兴趣的有效抓手.数学问题具有可接受性、障碍性和探究性的特征,可分为经典性问题、探索性问题和开放性问题.以问题为主线深化高等数学课程改革,必须在教学内容、课程体系、教学方法、教学手段等多方面着力,并要正确处理好问题与课程建设其它要素间的关系. 相似文献
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通过对国内外高等数学教材改革指导思想的分析对比及现状,结合现代数学教育理论,从教学内容和教材形式两个方面对高等数学课程进行考察,提出了一些改革设想.在教学内容方面,指出了立足创新人才培养的工科高等数学教学改革应该注意寻找数学直观与严格数学演绎之间的平衡,以高等数学中的若干重点问题为例进行了阐述.在教材形式上,倡导把网络教育技术同传统教材进行有机融合,简要介绍了每个页码都插入二维码的移动学习型教材. 相似文献
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高等数学教学改革研究进展 总被引:21,自引:1,他引:20
通过分析国内外高等数学教学改革研究历史与现状,阐明21世纪高等数学课程地位、作用和价值,及与21世纪相适应的高等数学教学改革意义、方向与方法.并结合个人教学实践分析、总结了具有代表性的高等数学教学理念、教学内容与课程体系、实践教学、计算机技术应用等方面改革成果与经验.最后对高等数学教学改革的继续深入和目前存在问题提出一些观点. 相似文献
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《工科数学基础》是高等教育出版社新出版的一套面向 2 1世纪课程的微积分教材 .它是根据原国家教委面向 2 1世纪教学改革立项课题《工科数学教学内容和课程体系改革的研究与实践》的要求而编写的改革教材 ,其主编是吉林大学的董加礼教授和大连理工大学的孙丽华教授 .打开这本书 ,马上给人以焕然一新的感觉 ,自然而然地被其新颖的结构、合适的教学内容以及使用方便等特点所吸引 .下面谈几点体会 .本教材最新颖之处是其结构呈模块式、组合式 ,成为面向重点院校 ,兼顾一般院校的合适的分流培养教材 .全书共分三层次 ,各层次的适用范围、要求及… 相似文献
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科学技术的发展深刻地影响着大学教育体系和教育模式 ,大学教育的改革势在必行 ,面向二十一世纪高等数学教学改革是高等教育改革中一个非常重要的组成部分 ,线性代数与空间解析几何是高等数学的三大模块之一 ,本文主要介绍面向二十一世纪高等数学教学改革教材《线性代数与空间解析几何》教学内容的改革实践 . 相似文献
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当前高等数学课程体系和教学内容改革中遇到两对很突出的矛盾,即是大家承认原有的课程和内容不能适应当前科技进步的发展,需要改革,需要增加新的内容和现代数学的基本知,识,但是在思考数学教学时,又不愿意牺牲原有传统的部分。 相似文献
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V. V. Makeev 《Journal of Mathematical Sciences》1998,91(6):3518-3525
Five theorems on polygons and polytopes inscribed in (or circumscribed about) a convex compact set in the plane or space are
proved by topological methods. In particular, it is proved that for every interior point O of a convex compact set in ℝ3, there exists a two-dimensional section through O circumscribed about an affine image of a regular octagon. It is also proved
that every compact convex set in ℝ3 (except the cases listed below) is circumscribed about an affine image of a cube-octahedron (the convex hull of the midpoints
of the edges of a cube). Possible exceptions are provided by the bodies containing a parallelogram P and contained in a cylinder
with directrix P. Bibliography: 29 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 286–298.
Translated by B. M. Bekker. 相似文献
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Neil Hindman 《Journal of Combinatorial Theory, Series A》1984,37(1):46-60
A seven cell partition of N is constructed with the property that no infinite set has all of its pairwise sums and products in any one cell. A related Ramsey Theory question is shown to have different answers for two and three cell partitions. 相似文献
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We study birth and death processes with linear rates λn = n + α + c + 1, μn + 1 = n + c, n 0 and μ0 is either zero or c. The spectral measures of both processes are found using generating functions and the integral transforms of Laplace and Stieltjes. The corresponding orthogonal polynomials generalize Laguerre polynomials and the choice μ0 = c generates the associated Laguerre polynomials of Askey and Wimp. We investigate the orthogonal polynomials in both cases and give alternate proofs of some of the results of Askey and Wimp on the associated Laguerre polynomials. We also identify the spectra of the associated Charlier and Meixner polynomials as zeros of certain transcendental equations. 相似文献
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We study rings in which every ideal is a finitely generated multiplication right ideal. 相似文献
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The importance of beliefs for the teaching and learning of mathematics is widely recognized among mathematics educators. In this special issue, we explicitly address what we call “beliefs and beyond” to indicate the larger field surrounding beliefs in mathematics education. This is done to broaden the discussion to related concepts (which may not originate in mathematics education) and to consider the interconnectedness of concepts. In particular, we present some new developments at the conceptual level, address different approaches to investigate beliefs, highlight the role of student beliefs in problem-solving activities, and discuss teacher beliefs and their significance for professional development. One specific intention is to consider expertise from colleagues in the fields of educational research and psychology, side by side with perspectives provided by researchers from mathematics education. 相似文献
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The Ritz and harmonic Ritz values are approximate eigenvalues, which can be computed cheaply within the FOM and GMRES Krylov subspace iterative methods for solving non‐symmetric linear systems. They are also the zeros of the residual polynomials of FOM and GMRES, respectively. In this paper we show that the Walker–Zhou interpretation of GMRES enables us to formulate the relation between the harmonic Ritz values and GMRES in the same way as the relation between the Ritz values and FOM. We present an upper bound for the norm of the difference between the matrices from which the Ritz and harmonic Ritz values are computed. The differences between the Ritz and harmonic Ritz values enable us to describe the breakdown of FOM and stagnation of GMRES. Copyright © 1999 John Wiley & Sons, Ltd. 相似文献