数学文化对数学教育的启示

数学文化为数学教育的反思提供了一种理念 ,数学文化提示数学教育应格外注重数学精神和理性思维方面在数学教学中的意义 ,数学文化将对数学教育的发展产生深远的影响     

现代技术条件下大学工科数学课程教学模式的探讨

本简要地阐述了在信息社会中将计算机技术引入大学数学教学课堂,以数学基础理论、数学建模课、数学实验课为基本框架的大学数学教学模式,并探讨了新的教学模式下数学教育的一些思想和基本原则。     

面对素质教育,我们能做什么?--谈谈数学素质教育

探讨了如何培养学生学习数学的积极性以及数学教育改革的根本任务与目标 .指出了数学教育在大学生教育培养过程中的重要性 .分析了开设数学文化素质课及课堂教学溶入数学美学教育的重要性     

高等农业院校多角度渗透数学文化教育的探讨与实践

结合我校多年来从事大学数学教学内容与课程体系改革的实际,分析了当前农林院校大学数学教学改革的经验和解决的问题,并从不同角度总结并分析了大学数学教育中渗透数学文化对数学教育的促进作用.     

数学实验——数学方法、数学软件和数学应用的融合

论述了数学方法、数学软件和数学应用在数学实验课中的作用,表述了数学方法、数学软件和数学应用之间的关系.     

数学交流及其对数学教育的启示

阐述了数学交流的缘起和功能，指出除具有一般的教学功能外，数学交流的教学意义特别表现在完善数学思维活动和实现数学教学的社会价值两方面。最后，从三个方面探讨了数学交流观点对数学教育的启示，即重视培养学生的数学交流素养，利用师生互动的形式重塑教学过程，在强调认知的同时关注学生的精神生活。     

数学文化教育及其结构

近年来,数学作为一种文化,在我国数学教育界受到了广泛的重视,特别是数学文化进入数学课程标准(新的高中数学课程标准中,"数学文化"已作为一个单独的板块列入)后,数学文化成为一个热门话题,几乎达到了一说数学教育则言必称数学文化,然而,学术界对数学文化的研究大多仍停留在学术性层面,对在数学教学中到底如何实施数学文化的教育,即数学文化如何走进数学课堂研究明显不足,导致一线数学教师在教学中如何实施数学文化教育心中无数,感到茫然,以为"数学文化教育"就是在教学中讲点数学史、数学故事就行了.     

新概念:用问题驱动的数学教学

数学,从小学一年级读到高中毕业。进了大学,还有“高等数学”、“文科数学”。莘莘学子,可以通过数学显示才华,踏入科学殿堂。但是,更有许多青年,视数学为畏途,避之惟恐不及。数学,可以让更多的学生喜欢、易懂、会用吗?这是新世纪摆在数学教育工作者面前的一项迫切任务。     

关于数学信息的转换策略

教育部颁布的《全日制义务教育数学课程标准 (实验稿 )》的“总体目标”中首次提出了“数学交流”的要求 .这是国际数学教育发展的趋势 ,世界各国的课程标准都提出了数学交流方面的教学要求 .学会数学地交流已成为当今国际数学教育共同注重的内容 .所谓数学交流 ,就是数学信息的接收、加工、传递的动态过程 .数学信息交流通常有三种形式 :文字信息、符号信息、图形信息 .各种信息各有其特点 ,发挥着不同的功能 .文字信息严格地界定了数学对象及其相互关系 ,深刻地揭示了数学对象的本质 ;符号信息简炼地概括和表达了数学对象的内涵 ;图形信息…     

漫谈数学科学的教学研究

从现代数学的特殊本性出发 ,论述了数学教学在我国高等教育中的特殊地位和先天的教学难度 ,文章分析了国内数学教育的现状和问题 ,提出进行数学认知规律的探索研究 ,把握数学教学的特殊门道的重要性 .     

多元统计分析在本科毕业论文指导满意度研究中的应用

毕业论文指导水平是影响毕业论文水平的重要因素,本文根据实际满意度调查的数据,利用主成份分析方法,对毕业论文指导满意度的影响因素进行了实证分析,得出是影响毕业论文指导质量的主要因素,同时,根据实证研究结论,就提高毕业论文指导满意度提出了若干建议.     

Accomplishing Accomplishment

The concepts of knowledge and accomplishment are duals. There are many parallels between them. In this paper I discuss the "AA" thesis, which is dual to the well known KK thesis. The KK thesis claims that if someone knows something, then she knows that she knows it. This is generally thought to be false, and there are powerful reasons for rejecting it. The AA thesis claims that if someone accomplishes something, then she accomplishes that she accomplishes it. I argue that this, too, is false, and that the reasons it is false parallel reasons for the falsity of the KK thesis.     

On a new class of nonlinear set covering problems arising in wireless network design

This is a summary of the author’s PhD thesis, supervised by Edoardo Amaldi and defended on 28 April 2006 at Politecnico di Milano, Dipartimento di Matematica. The thesis is written in English and is available from the author upon request. The thesis investigates a class of nonlinear set covering variants arising from the problem of designing single-frequency Wireless Local Area Networks (WLANs) with maximum efficiency. In the first part of the thesis a basic hyperbolic formulation of the problem is considered. After a complexity and approximability study, the problem is tackled by linearization techniques, and by Lagrangean and Dantzig–Wolfe decompositions. The second part of the thesis focuses on variants accounting for various relevant features of the WLAN application. A Branch-and-Price algorithm is presented, and extensions to the multiple-frequency WLAN design problem are considered.      

Algorithms for some graph theoretical optimization problems

This is a summary of the main results presented in the author’s PhD thesis. This thesis, written in English, was supervised by Frits Spieksma and defended on September 23, 2005 at the Katholieke Universiteit Leuven. A copy of the thesis is available from the authors website (http://www.econ. kuleuven.be/linda.moonen/public/). The thesis can be roughly split into two parts. The first part is dedicated to the problem of partitioning partially ordered sets into chains of limited size. The second part deals with the structure and the connectivity of the Internet.     

Solving problems of discrete tomography

This is a summary of the most important results presented in the author's PhD thesis. This thesis, written in French, was defended on 24 November 2004 and supervised by Marie-Christine Costa and Christophe Picouleau. This thesis consists in developing the study of discrete tomography problems. It aims at reconstructing discrete objects (matrices, images, discrete sets, etc) that are accessible only through few projections. A copy of the thesis is available on "http: //cedric.cnam.fr/AfficheArticle.php?id = 698". Received: April 2005 AMS classification: 90B70, 68Q17, 52C15, 05B50     

基于层次分析法的毕业论文(设计)综合评价方法

毕业论文是高校实施教学计划的重要环节.针对目前很多高校毕业论文评价方法中存在的一些问题,结合论文评价过程的相关特点,在层次分析法(AHP)的基础上提出了群组AHP模型和模糊AHP模型两种决策优化模型,给出了基于这两种模型的高校学生毕业论文综合评价方法.实践表明,在对学生论文进行评价的过程中,方法具有合理、公正、简便、灵活、易于推广的特点,开发的基于该方法的毕业论文评价系统具有很强的应用价值.     

Nonsmooth optimization: theory and algorithms

This is a summary of the author’s PhD thesis supervised by Manlio Gaudioso and Maria Flavia Monaco and defended on 21 February 2008 at the Università della Calabria. The thesis is a survey on nonsmooth optimization methods for both convex and nonconvex functions. The main contribution of the dissertation is the presentation of a new bundle type method. The thesis is written in English and is available from .     

Why contextualists cannot know they are right: Self-refuting implications of contextualism

Conversational contextualism in epistemology is characterized by four main theses: 1. the indexicality of knowledge claims thesis; 2. the attributor contextualism thesis; 3. the conversational contextualism thesis, and 4. the main thesis of contextualism according to which a knowledge claim can be true in one context and false in another context in which more stringent standards for knowledge are operant. It is argued that these theses taken together generate problems for contextualism. In particular, it is shown that there is no context in which the contextualist can truthfully claim to know her theory is true. Since these results were obtained only with principles the contextualist cannot give up—like the principle of epistemic closure and the principle that knowledge implies truth—it seems that contextualism is in need of a thoroughgoing revision if it is to become a successful epistemic theory.     

Transfer distance between partitions and search of dense zones in graphs

This text summarizes the Ph.D. thesis defended by the author in November 2006 under the supervision of Olivier Hudry, at the Université Paris 1. The thesis is written in French and can be obtained from the author upon request. The first part of the thesis is mainly devoted to the study of distances between partitions, and more precisely to the transfer distance. In the second part, we design a method for overlapping clustering and we apply it to protein interactions networks.     

关于单侧检验拒绝域的证明及假设检验的概率实质

根据假设检验的基本思想 ,阐明了“检验规则”的实质 ;根据小概率原理 ,完善了对单总体参数单侧检验拒绝域的理论证明 ;根据假设检验中的参数是一个未知的常数而不是一个变量的观点 ,揭示了单侧检验的概率实质 .同时 ,还提出了单侧检验中的两个易被忽视的问题及其解决方法 .最后 ,对假设检验中的一些基本概念给出了几点简要的评注 .