Some predictions about the possible groups of death in the football world cup

Statistics can help us to make predictions. An interesting example regarding the football world cup explores the rankings to suggest the group(s) of death in the ensuing world cup.     

Using pig die and simulation to explore probability and expected values

We present a variant of the Game of Pig to introduce the concepts of probability, simulation and expected value.     

An Exploration of Students’ Statistical Thinking

The statistical thinking exhibited by 14–19 year‐old students during clinical interview sessions is described. The students’ thinking with regard to fundamental statistics concepts is reported in order to help inform instructional practice.     

Understanding of Patterns,Streaks and Independence by Grade School Children

Using sequences of coin flips as a model of serial independent events, we asked schoolchildren in grades 1 through 5 to estimate the likelihood of the next flip. Most children in each grade expected short patterns to continue.     

Understanding the degrees of freedom of sample variance by using Microsoft Excel

In this article, the degrees of freedom of the sample variance are simulated by using the Visual Basic for Applications of Microsoft Excel 2010. The simulation file dynamically displays why the sample variance should be calculated by dividing the sum of squared deviations by n‐1 rather than n, which is helpful for students to grasp the meaning of degrees of freedom.     

基于建构主义教学理论的网络多媒体教学仿真系统研究

基于建构主义教学设计的实现是以学生为中心，构建适合于学生自主学习的学习情景，它是新时期教育教学理论的最新发展成果之一。如何将这一教学设计方法应用于网络环境下的环境设计。本文对此提出了初步设想并进行了有效尝试．以期对推动网络环境下的教学设计提出建设性建议和和实践依据。     

Exploration of experimental design and statistical methods using the stick‐on‐the‐wall spaghetti rule

We present a versatile scenario to introduce students to statistics: the test that spaghetti sticks only if sufficiently done. The statistical analyses can be performed at different levels of complexity and formal correctness, adapting it to the students' age.     

Motivating Inquiry in Statistics and Probability in the Primary Classroom

We describe how the use of a games environment combined with technology supports upper primary children in engaging with a concept traditionally considered too advanced for the primary classes: The Law of Large Numbers.     

概率方法在极限中的应用

运用大数定律和中心极限定理,证明了较复杂的不等式,给出了这类问题的一种方法.     

几个著名大数定律的证明及应用

大效定律以严格的数学形式表达了随机现象最根本的性质——平均结果的稳定性，它是随机现象统计规律性的具体表现，介绍了几种常用大数定律及其证明方法，并分析了它们在理论和实际中的应用．     

论情景剧在知识产权法教学中的运用

在知识产权法教学过程中组织情景剧教学活动,充分调动同学参与课程教学的积极性,培养学生的合作意识,为鼓励同学创新提供一个平台。知识产权法情景剧教学活动在实施中应注意选择合适的选题,合理把握观赏性与专业性的尺度和与其他教学方法配合使用。     

大数定理──随机经济现象统计分析的方法论基础

本文阐述了大数定理的本质内涵、应用特征,指出大数定理是社会经济现象统计分析的方法论基础。     

关于《国际商法》课程实施双语教学的思考

为了适应我国对涉外法律人才的需求,本科院校法学专业先后开设了《国际商法》课程。《国际商法》课程实施双语教学,既是课程教学目的和教学要求的需要,也是时代发展对涉外法律人才的需要。为了满足上述两种需要,国际商法双语教学就应有明确的实施思路,使学生通过该课程的学习掌握语言技能,并熟练地运用语言从事专业工作。     

一类任意随机变数序列的强大数律

给出了一类任意随机变数序列的强大数律。     

高校法律基础课教学的调查分析和对策

高校法律基础课作为高校德育教育的一部分，发挥着培养大学生法律素质，造就合格人才的作用，本文通过对高校基础课的问卷调查，对该课程的现状有一个比较清楚的认识，在此基础上分析存在问题，并结合多年的教学经验提出相应的对策，以期增强法律基础课教学的时效性和针对性。     

Monte Carlo方法计算圆周率

用Java程序计算圆内随机点的点数与正方形内随机点数之比，得到正方形和其内切圆的面积比，计算出圆周率。     

大数法则视野下的习惯法地位

大数法则表征群体内大多数成员共有的行为,也是支配群体行为与维持群体稳定性的规范。很多习惯法的形成源于大数法则,它们对群体行为的调整也要借助大数法则的特性。由于大数法则与人权紧密联系,是国家法制定的重要基础,并且它有助于法官在个案中作出理性裁决,因此,从大数法则的视野出发,习惯法应得到相应地尊崇。但同时,大数法则的内容并不必然与人权完全契合,法官在个案中也未必能确证习惯法的大数法则基础,依托于不同大数法则的习惯法之间会发生抵触,这导致大数法则视野下的习惯法存在适用界限。     

大数定律应用问题分析与概率直觉思维培养

为指导人们正确地认识随机事件,引导人们适当抑制盲目应对随机事件的冲动。该文选取一个独特的视角,讨论概率统计中的小概率事件,拆解概率理论,分析中奖概率,并就概率论联系实际,培养统计思维,提高学生的应用能力等方面,探讨了通过生活中的数学问题增强对实际事物中随机性的敏感,培养学生概率直觉思维,提高学生的应用能力,培养创新人才的途径。     

Teaching the assessment of normality using large easily‐generated real data sets

A classroom activity is presented, which can be used in teaching students statistics with an easily generated, large, real world data set. The activity consists of analyzing a video recording of an object. The colour data of the recorded object can then be used as a data set to explore variation in the data using graphs including histograms, quantile–quantile plots and scatterplots, and to indicate possible formal analyses.     

《思想道德修养与法律基础》课参与式教学方法新探

《思想道德修养与法律基础》课教学改革的关键在于教学方法的改革。参与式教学方法通过严格的教学环节设计,通过环境营造、利用教学道具来激发主体参与,引导团队合作与分享,建立一套增强《基础》课教学实效性,体现教与学的民主性、主体性、创造性和启发性的教学新方法。