Teaching the partial products algorithm with the concrete representational abstract sequence and the strategic instruction model

Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning provides the foundation for advanced mathematics and algebraic reasoning. For students who struggle in mathematics, instruction in multiplication algorithms should ensure conceptual understanding so that students have a foundation for success in advanced mathematics. The concrete representational abstract (CRA) sequence addresses conceptual understanding and the strategic instruction model (SIM) supports procedural knowledge. The current pilot study combined these methods to teach elementary students the partial products algorithm. Twelve students in grades four and five participated in the study, receiving instruction from teachers in their school during an intervention period. Within a pre-experimental design, using pre- and postintervention data, students showed a significant change in performance. The article will describe and show how teachers implemented the CRA-SIM interventions and discuss implications for practice.     

企业绩效考核现状及问题分析——以南京HG公司为例

如何不断地提升企业和员工的绩效,是现代企业人力资源领域里备受关注的焦点问题之一,而有效的绩效考核能够帮助企业创造高绩效。然而,理论与实践都证明了绩效考核并不是一项容易完成的工作。为提高员工、部门及公司的绩效,进一步促进企业的快速发展,南京HG公司着手完善原有的绩效考核体系,因此有必要对公司绩效考核的现状、存在的问题及难点进行深入地分析。     

重积分的原函数法

用原函数的方法,建立计算重积分的一种新方法——原函数法。     

宋儒认知和处理佛教及佛、儒关系之情状——朱熹的检讨和超越

从“对杂于佛教情形之分辨”、“对理解佛教情状之完善”、“对争辩佛、儒异同观点之总结”、“对宋儒取胜佛教策略的提升”4个方面,展示了朱熹对宋儒关于佛教、佛教与儒学关系的认识和主张检讨之情形;认为朱熹在这些方面既有所继承,亦有所超越。     

一般三维非齐次偏微分方程的可解性条件

给出了一般形式的三维非齐次偏微分方程的可解性条件,据此可省去繁琐的计算过程,直接判断其解的存在性.可将此条件应用于晶体生长过程中的类似模型.     

基于四轴运动控制教学平台的多元实践体系改革

针对高等教育教学中重理论、轻实践,未注重学生创新能力以及综合能力培养等问题,设计了一款可模拟实际工业检测分类装置的运动控制教学平台。该平台不但能够很好地模拟实际的工业场景,实现基本的运动控制功能,还具有很好的开放性和可扩展性。运动控制教学平台既可用于随堂常规实践,也可用于注重学生创新能力及综合思维能力培养的课程设计和毕业设计,形成多元化的实践教学体系。在加深学生对所学知识理解的基础上,充分锻炼他们的创新能力、解决问题的能力以及工程实践能力,培养真正适应于社会的工程应用型人才。     

英语中的对偶和对照修辞初探

对偶和对照是两种常见的修辞方式，但在英语和汉语中又不尽相同。在英语里，对偶和对照可由主语、谓语、表语、宾语、介词宾语、状语、定语从句、短语等九种方式构成。恰当地运用对偶和对照，可以增添语气的鲜明性，起到加强语气的作用。     

Modal verbs and adverbs and with Continuous

Through English and Chinese Modals with adverbs.Centinuous modal verbs such as a comparatire analysis between the two languages inspection Modals different grammatleal function comparison.     

符号计算与非线性偏微分方程精确行波解

In this paper, with the aid of the symbolic computation, a further extended tanh function method was presented. Based on the new general ansatz, many nonlinear partial differential equation（s）（NPDE（s）） can he solved. Especially, as applications, a compound KdV-mKdV equation and the Broer-Kaup equations are considered successfully, and many solutions including periodic solutions, triangle solutions, and rational solutions are obtained. The method can also be applied to other NPDEs.     

部分积累制养老保险模式存在问题分析

养老保障制茺是我国基本经济社会制度的重要组成部分，养老保障制度的建立与完善，将对经济社会发展起到积极的促进作用，反之也有可能成为经济社会发展的桎梏。本文首先对部分积累制养老保险模式进行了财务分析，阐述了该养老保险模式存在的主要问题，并提出了相应的解决对策。