马克思和他的数学研究

马克思从科学的立场观点和方法出发,以"全世界无产者联合起来"为根本目标,为了探索现代社会的经济运动规律,比较系统地研究了数学,并在此过程中将解放全人类的理想信念扎根于坚如磐石的科学基础上。马克思对于数学的系统研究同其理解资本主义生产方式的根本目标相辅相成,正是基于此,马克思将数学视为研究政治经济学不可或缺的重要手段和方法,进而上升为精神休养的"重要伴侣"。马克思对数学的热爱反映了他将崇高的理想同个人旨趣有机结合,并以满腔热情投入到解放全人类的伟大斗争中。今天坚持和发展马克思主义政治经济学也应有意识地将现代经济学定量研究与定性分析相结合,将其运用于当代经济问题分析,不断推进中国经济学研究。     

柏拉图《理想国》:数学在理想城邦建构中的意义

学界对《理想国》研究,无论从本体论角度关注"理念论",还是从政治哲学视角探讨"哲学与政治的张力",都遗忘了一个事实:柏拉图学园长达几百年研究数学的传统和柏拉图对现实政治的热忱关怀。那么《理想国》中"数学与政制"的奇特结合如何解读?本文试图审视"数学"在柏拉图理想城邦政制建构中的作用并提出具体的证据。     

数学实验的研究

数学实验在数学教育中的作用是不可低估的。通过数学实验,学生自己动手、探索、观察和讨论的方法来学习知识,可以理解数学问题的来龙去脉,以及发现、分析和解决过程．从而会大大提高数学学习的兴趣,进而会培养学生的创新精神,提高创新能力和研究能力。     

Three paradigms in a single monetary circulation

The nature of money is simple and easy to understand, both what it is and what it was; it is the ＂law of gravity＂ we all understand. Many macroeconomic concepts and operations are based on money. Without it, they would be impossible to comprehend and, in fact, can only be understood by methodically tracking the circulation of money. There are three core paradigms of money and money circulation： the money multiplier, the velocity of circulation of money income and the money-income multiplier. In this paper, we try to demystify or decouple some of these circulatory mechanisms in order to establish, to the extent that is possible, a single comprehensive theory. A comprehensive theory or an approximation to such demands that the three economic operations corresponding to the above three paradigms form part of the same monetary macroeconomic phenomenon. To prove workable, it requires that the formulae arrived at being represented by a single mathematical expression. This paper shows that there is a conflict between, on one hand, the inevitable and persistent economic intuition that relates the three paradigms and, on the other, the mathematical formulae （and their components） that occasionally negate this.     

Combinatorics in the theory of utility

It used to be thought that the utility or pleasure that goods gave consumers depended on the whole on the nature of the goods and, particularly, on its quantity. This is half true, half false. The utility obtained from a set of goods depends mainly on how the goods are ordered and combined within the dynamic time sequence represented by consumption. In other words, it depends less on what the goods are and more on how the goods are positioned. Understanding this offers huge possibilities within the theory of utility--and thus of consumption--as it allows us to apply the arsenal of tools available to us in the mathematic speciality known as combinatorics, as applied to utility. If each combination of goods poses a utility, we can rank these combinations differently using ordinal criteria and real transitive preferences. From there we can establish a set of menus, from best to least poor, and, armed with this information, work out a theory of individual choice. This is in brief the purpose of this work.     

将数学图形语言引入行政诉讼法教学的探索与可行性研究

本文将数学语言当中的图形语言引入行政诉讼法教学内容,通过集合图、坐标图、流程图等数学图形以简化复杂的教学内容,达到使教学内容直观化、形象化的目的,以便学生更好地理解与掌握。     

改变传统“填鸭”式课堂教学——努力构建高效数学课堂

纵观我国现行教育体制及考试制度,仍存在着诸多弊端.面对现在数学教育的现状,笔者甚是感慨!现在的数学教育以考试为目的,很少考虑到学生未来的发展.针对当前的数学教学,学生也是苦不堪言.为什么会出现这种现象,归根结底是数学课堂教学仍然墨守成规,让学生感到枯燥乏味.没有考虑到学生的兴趣、爱好及学生的需要.为此,笔者大胆尝试,想为数学课堂教学寻找出路.从课前准备、课堂教学和课后巩固三个环节进行探讨,以寻求一种高效率的数学课堂,真正实现“人人学有价值的数学;人人都能获得必需的数学;不同的人在数学上得到不同的发展”.     

金融数学方向硕士研究生培养模式探讨

随着金融在经济发展中的重要性不断凸显,金融行业的风险管理也呈现多样化发展,金融数学作为一门研究金融风险管理的新兴交叉学科,受到人们的广泛关注。根据金融数学学科特点和我国金融市场的发展现状,培养具有专业分析能力和操作技能的高层次、复合型金融数学人才,符合金融行业日益增长的风险管理需要。本文拟深入解析金融数学学科的本质和发展趋势,探讨金融数学方向研究生的培养模式,探索金融数学学科建设的方向和合理框架,以适应国内对金融数学人才的需求。     

新数学课程标准:基于学习动机理论的解读

激发学生学习的动机是让学生由被动学习转为主动学习的关键,是提高学生积极性和创造性的源泉,所以激发学生的学习动机尤其重要;要提高学生的学习动机,必须要帮助学生建立需要,形成动机,然后利用情感,强化动机。基于学习动机理论,从前言、课程目标和实施建议三部分对《义务教育数学课程标准(2011年版)》进行解读。