用初等方法推导伯努利数的显性计算公式

首先给出了正整数幂和的显性计算公式,并用数学归纳法证明了相关的结论,然后从中得出了伯努利数的显性计算公式.     

广义Lucas数列的求和公式

由二次线性递推公式所定义的Lucas数列{Fn}在数学的理论研究中有重要的作用,不少学者对这个数列的一些特征进行了深入细致的研究.本文在已有的有关广义Lucas数列相关定理的基础上进一步推广,给出了更为广泛的广义Lucas数列的求和公式,采用了递推归纳的方法证明.     

The implications of the out-of-field phenomenon for effective teaching,quality education and school management

Abstract

The out-of-field phenomenon, that is the situation where teachers teach outside their field of expertise, adds complexity to the education environment and affects learners, colleagues, parents, governing bodies and school management. It puts extra strain on school management's responsibility to provide quality management and jeopardises effective teaching and quality learning. This article examines the implications of the out-of-field phenomenon for school management. An empirical investigation entailing the use of a qualitative approach was employed for the study. Data were gathered through semi-structured interviews with selected participants who shared their experiences of the phenomenon. Findings indicated that the out-of-field phenomenon and its implications should be recognised in order to provide effective and quality teaching, substantial teacher support and sufficient staff development programmes.     

大学生初级剑锻炼情绪诱导作用及开展对策的研究

通过对大学生初级剑锻炼诱导情绪的即时效果调查与分析,探讨初级剑锻炼的情绪诱导作用及开展对策。结果表明,一次性初级剑练习可使人精神得到恢复和激发,并使人产生良好的情绪唤醒作用,适宜于学校课外及大课间活动的开展。     

连续归纳法的第三形式

在[1]的基础上给出了连续归纳法的第三种常见形式,并举例以展示其应用。     

磁感应线在磁介质分界面上的折射规律

经过严格证明,给出一个命题,定性地确定了磁介质分界面上折射磁感应强度方向的去向趋势和大小的变化。     

关于加法分拆数的一个求值公式

文章构造了一个二元递推函数式,从而用初等的方法求得加法分拆数的一个公式 。     

Transitioning to the classroom: reflections of second‐career teachers during the induction year

In recent years teacher educators have witnessed an increase in the number of alternative pathways to university‐based teacher education for prospective teachers. One option is for second‐career teachers to enter post‐baccalaureate programs in education; however, the experiences of second‐career teachers are largely unexplored in the international literature. The purpose of this study was to investigate the teaching beliefs that post‐baccalaureate students brought into a graduate level teacher certification program, and the extent to which those beliefs persevered or changed during their first year of teaching. Written philosophy statements and semi‐structured interviews from the three participants were analyzed to identify emerging themes. Outcomes, presented in the form of vignettes, suggested that second‐career teachers experienced many of the same contextual pressures as baccalaureate teachers and struggled adapting to the teaching profession and implementing their stated teaching beliefs. Implications include continued research on second‐career teachers as they represent a distinct population entering the teaching profession.     

莘数理论(V)

首先给出了函数的本式值和标式值的概念 .在限制使用极限的前提下 ,独立地推出了微积分理论 .并给出了在相对论方面的简单应用 ,求出了光子的静止质量 .