The Algebraic Nature of Students’ Numerical Manipulation in the New Zealand Numeracy Project     

Kathryn?C.?IrwinEmail author  Murray?S.?Britt 《Educational Studies in Mathematics》2005,58(2):169-188

The New Zealand Ministry of Education has introduced a Numeracy Project for students aged 5–14 years in selected schools. The project encourages the adoption of flexible strategies for solving numerical problems, and discourages reliance on standard computational algorithms. One potential benefit of the project is that the methods students acquire in the project may provide a foundation for algebraic thinking through the use of quasi-variables in numerical operations. In order to evaluate this possibility, we constructed a 21-item test of numerical manipulation that required an underlying awareness of the presence of quasi-variables. The test was administered to 431 12-year-old students who participated in the project and to 468 students who did not. The test consisted of six sections, each of which examined the application of a different aspect of reasoning to numerical problems. The results showed that students who participated in the Numeracy Project solved numerical problems that required manipulation with more success than did students who had not participated in the project. This proved to be the case for three different levels of analysis: for the test as a whole, for each of the six sections of the test, and for every individual item of the test. The results were interpreted as showing that the project fostered students awareness of numbers as quasi-variables and thus provided an early indicator of algebraic thinking.  相似文献   

数学教学中哲学思想的运用     

王海清 《湖州师范学院学报》1991,(5)

本文通过一些初等数学习题的研究,阐明数学、哲学间深刻关系,辩证法的基本规律在数学解题教学中的应用.  相似文献   

革命浴火重生历史如实再现——评魏巍的《地球的红飘带》     

梁志群 《广播电视大学学报》2006,(3):30-32

魏巍的《地球的红飘带》是一部以长征为题材的现实主义与浪漫主义相结合的力作。它真实再现了中国工农红军二万五千里长征这一传奇事件。作品在整体风格、写作方式和人物刻画方面,具有独到之处。  相似文献   

二次剩余定理的推广——二次剩余函数的值域     

戎士奎  韦萍萍 《贵州教育学院学报》2007,18(2):1-3

任何奇素数p有(p-1)/2个二次剩余,此就是二次剩余定理。提出二次剩余函数的概念,证明了素数模p任一二次剩余函数的值域都有(p 1)/2个元素。二次剩余定理乃是它的一种特殊情形,从而推广了二次剩余定理。  相似文献   

古汉语数量词用法考察     

唐红松 《和田师范专科学校学报》2008,28(2)

现代汉语中,数词无论是在表示物量还是表示动量时一般都需与量词连用。从汉语史的角度考察,古汉语中数量词用法比较复杂,在表数量上有一个由数词单用到数词、量词连用的过程;而且数(量)词的句法分布比较多样与现代汉语多有不同。本文主要考察古汉语中数量词的使用情况和在不同时期的用法现象,从而描绘出数量词的使用发展的演化脉络。  相似文献   

近年来我国高校学术权力与行政权力关系研究述评   总被引：2，自引：0，他引：2  

甘金球 《煤炭高等教育》2008,26(6):14-16

学术权力与行政权力的关系的研究观点概括为四种：冲突论、协调统一论、对立统一论和不对称论。学者们主要从理念、制度、机制三个方面设计了协调行政权力与学术权力关系的基本思路。多数学者认为,通过强化学术权力,建立起学术权力与行政权力相互协调的运行机制是协调两者关系的最直接有效的办法。从多元权力结构视角研究两者之间的关系是研究的趋势,也符合我国高校内部现存的权力结构。  相似文献   

The Concept of Tens and Hundreds in Students with Down Syndrome     

Alicia Bruno  Aurelia Noda 《International Journal of Disability, Development & Education》2019,66(2):171-185

ABSTRACT

We present an evaluation of the understanding that adolescents and adults with Down syndrome (DS) have of the decimal number system. The results of two studies are presented. The first was a case study with interviews of three adolescents and three adults with Down syndrome. Our results indicate that their conceptual understanding of the meaning of the tens and hundreds places is not as well developed as their ability to read, write and work with numbers of up to three digits. We also analyse the progress made by a 17- year-old student with Down syndrome after following a learning programme intended to improve her understanding of the tens place. To this end, we designed number tasks using four constructs: counting, grouping, partitioning and ordering. The student’s achievements in the counting construct were greater than in the others, exhibiting an understanding and use of the tens as a unit of counting to solve many of the number tasks proposed. Also evident was a progression in her understanding of the positional value. We observed differences in her success rate and variability in her responses depending on the method used in the tasks to represent the numbers.  相似文献   

实数域上亏损矩阵幂的一个简洁表示     

李大林 《柳州职业技术学院学报》2008,8(3):72-75

研究实数域上亏损矩阵的幂的算法。考虑到不易从它的特征多项式获得构成广义若当标准型的阶数更小的广义若当块的有关信息,针对矩阵乘法不满足交换率,本文从计算广义若当标准型的幂的一般形式出发,获得实数域上亏损矩阵的幂的一个简洁表示。  相似文献   

否定命题的肯定叙述的初探     

董晓亮  高建国  何郁波  郝白军 《宁夏师范学院学报》2008,29(3):92-94

通过对数列极限和函数极限的直观描述和"语意"上的过渡,阐述了数列发散以及x趋于x(?)时,函数f(x)不以给定的数为极限的定义.  相似文献   

优美图的若干性质   总被引：2，自引：0，他引：2  

谢继国  张效贤  刘永平 《甘肃高师学报》2004,9(2):1-6

刻划了优美图的基本性质 ,给出了某些优美图的具体标号。  相似文献