On the Attainability of Bounds on the Standard Deviation

This article considers prototype data sets that attain lower and upper bounds on the standard deviation in terms of the range.     

Standard Deviation for Small Samples

Neater representations for variance are given for small sample sizes, especially for 3 and 4. With these representations, variance can be calculated without a calculator if sample sizes are small and observations are integers, and an upper bound for the standard deviation is immediate. Accessible proofs of lower and upper bounds are presented for a broad spectrum of readers.     

A Visual Model for the Variance and Standard Deviation

This paper shows how the variance and standard deviation can be represented graphically by looking at each squared deviation as a graphical object – in particular, as a square. A series of displays show how the standard deviation is the size of the average square.     

An Upper Bound on the Value of the Standard Deviation

This article derives a simple upper bound for the sample standard deviation that could be useful in guarding against gross errors of calculation.     

学生数学能力培养之我见

就“培养学生的数学能力 ,提高学生的素质”这一问题 ,从数学知识的传授、数学知识的应用这两个方面进行阐述 ,提出在注重数学知识传授的基础上进行数学建模教学的方法 .     

应用型高校《病虫害生物防治》教学改革策略探析

为适应“高水平应用型”大学的建设,培养应用型人才,《病虫害生物防治》课程教学从增强实践教学内容,改变实践教学形式及考核方式等方面进行了一系列调整,进行了诸多实践和探索。结果表明,以提高学生实践动手能力为目标的教学改革策略取得了良好的教学效果。     

An Upper Bound on Standard Deviation as a Function of Range

This article disproves a conjecture that the ratio of the maximum standard deviation to the range of a set of data decreases as the number of data points increases. It also provides an alternative and more general approach for examining the standard deviation as a function of the range.     

数学知识在地理教学中的应用

在地理教学中借用数学知识去解决地理问题,非常方便,且能提高学习、研究乃至培养地理综合素质的能力。     

鉴定意见的采信标准

鉴定意见是我国诉讼法中证据种类的一种,对案件事实的认定具有重要的作用。由于鉴定意见具有较强的专业性,不同于其他证据可以由法官凭借法理与经验判断,需要借助于专业知识的判断;且正是由于它的专业性带来的权威性导致其对于案件的审判具备超乎其他证据更强的证明力,所以法院应该更加注重对鉴定意见的审查。法院在决定是否采纳鉴定意见时,可以从证明能力和证明力两方面进行考察,通过专家证人出庭、鉴定意见质讧等方式以确保鉴定意见的合法性,从而有效合法地适用鉴定意见证据,最终保障当事人的诉讼权利。     

三个新几何定理的论证和应用

本文从一个普通的平面几何成题出发。通过政造、更新、引申和发展，得出和论证了三个重要的新几何定理，并用它们解答一类数学竟赛和几何名题。     

数学证明方法的逻辑分析

章用数理逻辑的方法对数学常用的证明方法进行了逻辑分析，为正确简便地运用数学证明方法提供了理论依据。