基于ANP-SVR的高校新专业设置优化分析

随着新专业的设置问题越来越多地成为各个高校普遍面对的发展问题,人们逐渐意识到决策过程中的滞后性、盲目性、片面性问题给专业设置工作乃至于该专业的生命力和竞争力带来的负面影响.运用ANP-SVR算法深入分析了高校新专业设置过程中的主要问题及其内部包含的各种因素,利用10个专业进行建模分析,并利用SVR,算法对3个拟建专业进行回归分析,得到了理想结果.方法将主观决策数字化,为高校的决策者提供了一种解决问题的新方法.     

金融数学课程设置与专业建设的一些体会

结合同济大学应用数学专业的特点,探讨了在我国开展金融数学教学的课程设置指导思想、实施方案、与科研的良性互动以及教学效果.为提高我国的金融数学专业的教学水平提出了一些自己的看法和建议.     

金融数学课程设置与专业建设的一些体会

结合同济大学应用数学专业的特点,探讨了在我国开展金融数学教学的课程设置指导思想、实施方案、与科研的良性互动以及教学效果.为提高我国的金融数学专业的教学水平提出了一些自己的看法和建议.     

高等院校数学专业解析几何课程改革研究

本文从高校几何学课程改革的一般现状、解析几何课程改革的必要性、课程内容改革和课程安排设想以及相关课程内容及设置时间的处理建议等角度对高等院校数学专业解析几何课程改革做了一定的探讨,并提出了解析几何教材改革的具体内容和结构安排设想.     

数学藏汉双语教师职前培养研究——基于四川藏区数学藏汉双语教师专业现状

民族地区双语基础教育教学研究一直是我国基础教育研究中的热点.结合四川藏区数学双语教师专业发展的现状,提出数学藏汉双语教师职前培养路径:明确数学双语教师职前培养目标,在国家双语教育政策支持下,积极构建高校、地方政府和中小学校协同培养机制,构建数学双语教师专业标准,形成科学合理的评价体系,搭建数学双语教师专业发展大数据平台,改善数学双语教师职前培养课程设置,促进数学藏汉双语教师专业发展.     

《微分方程数值解法》课程实践教学改革初探

基于专业培养计划和课程设置目的,论述了对《微分方程数值解法》课程实践教学的思考和探索．     

关于信息与计算科学专业的实践教学课程体系构建的一点探讨

在教育转型背景下,信息与计算科学专业实践教学改革势在必行.首先分析了国内该专业实践课程体系设置的现状,提出了该专业课程体系构建的原则,以一个经多年教学改革后积淀的实践课程体系为例探讨了其构建思路,该体系由四大模块构成,在IT人才培养目标上达到了实际效果;为工程应用型本科院校该专业实践课程体系的构建提供了一种可行的思路和方案.     

高校专业对创新型人才培养影响的反馈环结构分析

培养创新型人才是当代高等教育发展的重要目标.结合教育部师范类高校评估指标体系,运用组织管理系统动力学流率基本入树逐树建模法,首先建立了折合在校生数入树T1(t)、教师人数入树T2(t)、建筑面积入树T3(t)、教学科研仪器设备值入树T4(t)、收支差积累量入树T6(t),得非专业五棵入树的子流图G1(t).然后,建立专业设置数入树T5(t),由G1(t)和T5(t)做嵌运算,规范地得复杂的高校发展系统整体流图模型G(t).运用枝向量行列式新增反馈环计算法,计算出G1(t)新增专业入树T5(t)新增反馈环522条,其中,新增专业设置数流位L5(t)直接作用到折合在校学生数流率R11(t)的反馈环共161条.运用关键因果链分析法,围绕高校专业设置影响学生创新型人才培养的反馈作用问题,对161条中2至6阶的8条有代表性的反馈环进行关键因果链分析,接着,对所得的全部关键因果链按反馈作用内容分6类,在此基础上提出对应的加大高校专业等的改革力度,提高培养创新人才的6条管理对策,为管理改革提供依据.     

经济学专业高等数学教学的专业匹配化改革

针对经济学专业高等数学的教学内容、教学时长时点设置、教学方法和考核模式与经济学专业的不匹配问题,结合切身的教学体验和课题研究结果,给出了相应的教学改革建议,旨在为提升经济学专业高等数学教学水平提供一些启示.     

信息与计算科学专业社会适用型人才培养模式探讨

信息与计算科学专业是为适应社会经济发展需要设置的新专业.但随着办学时间的增加和社会需求的变化,该专业的人才培养模式出现一些不足,需要进行改革.我们根据多年的教学和办学经验,在分析了该专业存在问题的基础上,从专业定位、专业课程体系改革、实践教学体系改革和学生创业能力的培养等四个方面探讨了如何构建该专业社会适用型人才培养模...     

Affine-inscribed and affine-circumscribed polygons and polytopes

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.     

Partitions and pairwise sums and products

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.     

Linear birth and death models and associated Laguerre and Meixner polynomials

We study birth and death processes with linear rates λ_n = n + α + c + 1, μ_{n + 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.     

Distributive and Multiplication Modules and Rings

We study rings in which every ideal is a finitely generated multiplication right ideal.     

Beliefs and beyond: affect and the teaching and learning of mathematics

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.     

Ritz and harmonic Ritz values and the convergence of FOM and GMRES

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.