一堂考核课的备课实录

1课题的由来 今年5月笔者参加了绍兴县第九届教坛新秀的评比，其中有一项是课堂教学考核。根据县教师发展中心的规定，在5月19日下午4时公布了上课课题：必修2§2．3直线、平面垂直的判定及其性质复习课，并要求在次日上午7：20前到承办学校上课．本次课堂教学考核从公布考核课题到正式上课，时间非常紧，对参赛者都是一次挑战．现将笔者的备课思考过程实录如下，     

进货质量损失的统计评估

为了评估进货质量损失，考核进货渠道质量水平，本文建立一个数学模型，并用实例说明其应用。     

数学分析课程教学改革探讨

本初步讨论了数学分析课程教学内容改革，问题的合理设计，教学方法及手段改革，考核形式改革等方面的内容。     

谈谈成人教育中珠算技术五步教学法

财政部(85)财会字90号文件中明确规定：“自一九八六年七月一日起，凡担任会计员专业职务的人员，对其珠算技能的考核、达到《全国珠算技术等级鉴定标准》普通五级，即为珠算技能合格。”这是我国有珠算以来，首次由国家政府部门下文规定会计人员必须把珠算技能作为专业项目的考核项目。这个规定充分体现了国家政府对珠算的重视。     

Markov链在人力资源供给预测中的应用

本文利用Ｍａｒｋｏｖ链建立模型,对组织各类人员的供给作出定量预测,为组织的人事部门或人力资源管理部门根据职位人员需求安排合适的人选提供决策的依据。文中介绍的模型不仅可以预测组织中各类人员的供给人数,而且可以预测组织中各类人员的分布。对于人力资源管理部门如何用人和用好人有一定的指导意义和应用价值     

项目经理考核的模糊综合评判法

本运用模糊数学的理论，对项目经理素质进行分类，设置权重，并采用模糊综合评判法对项目经理的表现做出综合评判，力求提出一种比较科学完善的，可以定量分析的考核方法。     

能力型数学素质教育考核方法的改革探索

本研究既考核学生掌握基本知识又考核学生能力和素质的考核方法,提出了多层次综合考核方法,其考核内容和方式主要包括期末笔试、平时测验、开卷考试、学习报告、数学实验报告和小论等,并确定了考核指标,以层次分析法作为综合评价方法,建立了综合评价的递阶层次结构,为能力型数学素质教育考核方法的改革进行了有益的探索。     

关于学生干部考核的群决策模型

研究了学生干部指标考核系统和考核主体的构成,并利用群决策原理给出了考核指标和考核主体的权重的确定方法.最后,举例说明该方法的运用过程.     

教师技术职务考核的多元统计分析

本文应用主成分分析法和聚类分析法对教师职务考核资料进行多元分析，并就指标设计和考核结果进行若干讨论。     

能力型数学素质教育考核方法的改革探索

本文研究既考核学生掌握基本知识又考核学生能力和素质的考核方法 ,提出了多层次综合考核方法 ,其考核内容和方式主要包括期末笔试、平时测验、开卷考试、学习报告、数学实验报告和小论文等 ,并确定了考核指标 ,以层次分析法作为综合评价方法 ,建立了综合评价的递阶层次结构 ,为能力型数学素质教育考核方法的改革进行了有益的探索     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].