聚焦一次函数表达式的确定y=kx+b

确定一次函数的表达式是学习一次函数的重要内容之一,一次函数的表达式是函数关系的一种表示方法。这里综合向同学们介绍一下几种确定一次函数表达式的方法,以供学习参考。一、根据概念求一次函数表达式     

构造表达式 巧解数学题

根据问题已知条件构造表达式是求解数学题的一种重要方法.本文以举例的方式介绍几种常见构造表达式解题的类型，以说明构造表达式在解题中的重要作用.     

聚焦一次函数表达式的确定

确定一次函数的表达式是学习一次函数的重要内容之一，一次函数的表达式是函数关系的一种表示方法。这里综合向同学们介绍一下几种确定一次函数表达式的方法，以供学习参考。     

对P-LOTOS表达式的自动分析和测试例推导

P—LOTOS表达式的数据类型是受限制的，它只使用整型和布尔类型，并且整型运算被限制为加法、减法和比较运算。引进了P—LOTOS表达式的定义并介绍了对P—LOTOS表达式的一种自动分析和测试例推导方法。     

数学归纳法在物理解题中的应用

数学归纳法是一种数学证明方法,典型地用于确定一个表达式在所有自然数范围内是成立的或者用于确定一个其他的形式在一个无穷序列是成立的.有一种用于数理逻辑和计算机科学广义的形式的观点指出能被求出值的表达式是等价表达式;这就是著名的结构归纳法.这种方法在数学中经常用到,但在物理学科中用到的不大引人注意,本文就此方法的运用作了简要介绍.     

一元线性回归模型的参数估计法的误差分析

对横向距离平方和最小法与最小二乘法的误差进行分析,发现二者的误差大小与拟合直线的斜率有关.这两种方法的参数估计表达式与最小距离平方和法的参数估计表达式有相应的关系.通过举例比较和讨论了这三种数据拟合方法的优劣,并分别给出了较合理的应用控制条件.     

角动量算符的球坐标表达式的简易推导

在求角动量的本征值及本征函数时，要用到角动量算符在球坐标中的表达式。许多书中仅给出了结论，本文从数学角度给出角动量算符的球坐标表达式的一种易于接受和掌握的简易推导方法。     

浅析二元表达式取值范围的确定

二元表达式是指含有两个变量的表达式，其取值范围的确定，通常有三种方法，一是把二元函数问题转化为一元函数问题求解；二是直接利用基本不等式求解；三是利用二元表达式的几何意义求解．下面通过例子具体说明：[第一段]     

Pascal语言程序设计学习指导(下)

三、典型例题分析 (一)题型综述 1.判断标识符、数、常量定义、类型定义、变量说明的合法性。 2.将代数式写成Pascal算术表达式。根据判断条件写出相应的布尔表达式。计算表达式的值。判断一个表达式是否是Pascal中的正确表达式。     

演绎逻辑的真值语义和直观推理语义

真值语义将逻辑联结词都解释为真值联结词,是一种简明的外延形式语义.真值语义面临的主要问题是:逻辑联结词→、(一)的真值解释,与对应的日常联结词“如果,那么”和“当且仅当”产生了距离.直观推理语义关注逻辑联结词→、(一)的推理涵义,借助日常语言来阐释逻辑表达式的具体内容,重视表达式的内涵.使用直观推理语义,检验逻辑表达式的直观有效性,有助于实现逻辑学家的目标和理想:有效的推理形式应普遍适用于各种场合的日常推理.     

Evolution of a teaching approach for beginning algebra

The article reports aspects of the evolution of a teaching approach over repeated trials for beginning symbolic algebra. The teaching approach emphasized the structural similarity between arithmetic and algebraic expressions and aimed at supporting students in making a transition from arithmetic to beginning algebra. The study was conducted with grade 6 students over 2 years. Thirty-one students were followed for a year, and data were analysed as they participated in the three trials conducted that year. Analysis of students’ written and interview responses as the approach evolved revealed the potential of the approach in creating meaning for symbolic transformations in the context of both arithmetic and algebra as well as making connections between arithmetic and symbolic algebra. Students by the end of the trials learnt to use their understanding of both procedures and a sense of structure of expressions to evaluate/simplify expressions and reason about equality/equivalence of expressions both in the arithmetic and the algebraic contexts.     

在Visual C++ 6.0中实现复数四则运算

本文在VisualC~++ 6.0版本下利用操作符重载的技巧,实现了对复数的四则运算,并输出运算结果的四种表示式。     

试论算术中的代数思维:准变量表达式

在数学教学中,小学与中学(主要是初中)的衔接问题,仅仅依赖体制上的变革根本无法解决。而在新课程标准的推进当中,由于更加强调整体性和一贯性,所以,衔接问题的解决已刻不容缓。算术中的准变量(表达式)正是解决这一问题的强有力思想。准变量表达式既动摇了算术与代数之间的传统割裂,又在算术思维与代数思维之间起到了桥梁作用。而且,它还体现了新课程标准所倡导的算法多样化之精神。准变量(表达式)思想对改进义务教育阶段数学教学有着诸多切实的现实意义。     

基于Rough集的多传感器信息融合

Rough集是一种处理含糊和不精确性问题的新型数学工具,将其应用于多传感器信息融合中,可以简化规则的描述和表示,有利于快速得到最小融合算法,同时可以解决数据超载问题,形成多传感器信息融合算法.     

编译原理实验课的实践探索

编译原理是计算机专业的重要专业课之一,设计一组合理的实验并很好地实施,对理解和掌握这门课是十分重要的.设计的实验是以简单的算术表达式为处理对象,进行词法分析、语法分析和语义分析,兼有表格处理和出错处理.本组实验具有与理论相呼应、操作性强、适用范围广等特点.     

Spreadsheets as cognitive tools: A study of the impact of spreadsheets on problem solving of math story problems

In this study, we investigated the impact of computer spreadsheets on the problem solving practices of students for math story problems, and more specifically on the transition from arithmetic to algebraic reasoning, through the construction of algebraic expressions. We investigated the relationships among the students’ prior knowledge and skills, the verification processes, and the effectiveness of the problem solving tasks. For identifying the factors involved in the problem solving process and their role, in our analysis we employed the Structural Equation Modeling (SEM) approach. We mainly focused on math story problems and on students of tertiary education with little prior experience on the use of computers and spreadsheets. Analysis of the data indicates that spreadsheets can support the transition from arithmetic to algebraic reasoning and this transition is influenced by prior skills of the students relevant to the interaction with the interface (enter formula skills), and the students’ frequency of verification of the solution.     

基于递推分解法的路网连通可靠度计算

为了降低道路网连通可靠度计算的复杂度,提出了基于递推分解法的可靠度计算方法.首先阐述了递推分解算法的基础理论,然后对道路网不同于常规网络的特性进行了分析,最后提出了适合于道路网络连通可靠度计算的改进的递推分解算法,同时给出了方便计算机编程实现的具体求解步骤,并对相应的上下限近似算法的优越性进行了分析.改进的递推分解算法打破了传统的先搜索最小路然后进行不交化的连通可靠度求解步骤,直接生成计算中涉及到的不交最小路,并充分考虑了道路网的实际特性,大大简化了计算,避免了可靠度计算中的NP难题.最后通过一简例,说明该算法的实用性.     

A Comparative Study of Student Math Skills: Perceptions,Validation, and Recommendations

A study was conducted at a southern university in sophomore level production classes to assess skills such as the order of arithmetic operations, decimal and percent conversion, solving of algebraic expressions, and evaluation of formulas. The study was replicated using business statistics and quantitative analysis classes at a southeastern university. The intent of the study was to determine math deficiencies among college students and to ascertain whether or not these deficiencies impact grades. Data analyses compared students’ test results and grades from the different classes at the two universities and identified surprising patterns across classes, universities, and professors.These results support the need for curriculum modifications to address the identified deficiencies.     

Facilitating preservice teachers’ development of mathematics knowledge for teaching arithmetic operations

Mathematical tasks, centered on arithmetic word problems, are discussed as the basis of an approach to facilitate preservice elementary teachers’ development of mathematical knowledge for teaching arithmetic operations. The approach consists of three groups of tasks that allow students to reflect on their initial knowledge, explore arithmetic word problem situations from multiple perspectives, and apply their resulting knowledge, respectively. Findings from the investigation of the approach indicate that the tasks can provide an effective and meaningful basis to help preservice teachers to develop deeper understandings of the arithmetic operations and their relationships and pedagogical-mathematical knowledge for teaching the arithmetic operations conceptually.     

儿童早期加法策略发展及其教育启示

计算策略是影响儿童计算能力发展的重要因素,反映了儿童的思维过程及问题解决水平。目前已有研究对儿童早期加法策略的类型、水平及发展特点进行了深入细致的探讨。幼儿园在开展计算教学活动时应积极利用这些研究成果,为儿童提供运用、表达与交流策略的机会,并积极促进儿童策略意识与水平的发展。