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1.
INTRODUCTION Tolerance is imperative for seamless integration of computer-aided design (CAD) and computer aided manufacturing (CAM) (Bjorke, 1989; Wu and Yang, 1999) and influences greatly the quality, process planning, measurement, cost and assembly of the product. Many researches have been conducted on tolerance (Baer, 1979; Requicha, 1982; 1983; 1992; Clement, 1991). Most of these researches are focused on tolerance analysis and tolerance synthesis. In some commercial CAD/CAM sy…  相似文献   

2.
本文根据认知心理学原理,利用数学手段,建立了品牌力因子的数学模型,为进一步研究品牌价值评估模型奠定基础.  相似文献   

3.
本文主要介绍了计算机辅助设计中怎样实现自动绘图的一般途经,并对各种方法加以分析比较,从而得到符合计算机辅助设计实践的自动绘图方法。  相似文献   

4.
The provision of education and training almost always lags behind the needs of industry. This is particularly so in the case of rapidly developing high technology fields such as CAD/CAM (Computer Aided Design and Manufacture), where the educational sector finds it difficult to keep up with industry's requirements not only because of the rapid growth rate, but also because of the high level of funding which is required to purchase and maintain suitable facilities. Two education/training initiatives are described in this paper. The first of these is a pack of resource material for lecturers teaching CAD/CAM to undergraduate level, and the second is a training course for the managers of CAD/CAM systems which is part of the U.K. Manpower Services Commission's Open Tech programme.  相似文献   

5.
对数学概念下定义的基本要求、定义的实质和思想方法进行探讨。把形式逻辑关于真实定义的四条规则用来作为数学定义的基本要求是不恰当的,可以针对数学的三类基本概念中的不变个体制定具体的定义规则。可消去性准则和非创新性准则的思想应当在中学数学教材教法的逻辑内容中得到反映。  相似文献   

6.
The Notion of Proof in the Context of Elementary School Mathematics   总被引:2,自引:0,他引:2  
Despite increased appreciation of the role of proof in students’ mathematical experiences across all grades, little research has focused on the issue of understanding and characterizing the notion of proof at the elementary school level. This paper takes a step toward addressing this limitation, by examining the characteristics of four major features of any given argument – foundation, formulation, representation, and social dimension – so that the argument could count as proof at the elementary school level. My examination is situated in an episode from a third-grade class, which presents a student’s argument that could potentially count as proof. In order to examine the extent to which this argument could count as proof (given its four major elements), I develop and use a theoretical framework that is comprised of two principles for conceptualizing the notion of proof in school mathematics: (1) The intellectual-honesty principle, which states that the notion of proof in school mathematics should be conceptualized so that it is, at once, honest to mathematics as a discipline and honoring of students as mathematical learners; and (2) The continuum principle, which states that there should be continuity in how the notion of proof is conceptualized in different grade levels so that students’ experiences with proof in school have coherence. The two principles offer the basis for certain judgments about whether the particular argument in the episode could count as proof. Also, they support more broadly ideas for a possible conceptualization of the notion of proof in the elementary grades.  相似文献   

7.
Tolerance is essential for integration of CAD and CAM.Unfortunately,the meaning of tolerances in the national standard is expressed in graphical and language forms and is not adaptable for expression,processing and data transferring with computers.How to interpret its semantics is becoming a focus of relevant studies.This work based on the mathematical definition of form tolerance in ANSI Y 14.5.1 M-1994,established the mathematical model of form tolerance for cylindrical feature.First,each tolerance in the national standard was established by vector equation.Then on the foundation of tolerance's mathematical definition theory,each tolerance zone's mathematical model was established by inequality based on degrees of feature.At last the variance area of each tolerance zone is derived.This model can interpret the semantics of form tolerance exactly and completely.  相似文献   

8.
从符号与数值的转化、同余映射中的周期长度及分阶段执行程序等3个方面,以实际例子研究了如何在实践中运用数学原理来优化程序设计、节约运行时间,达到利于解决数学建模问题的目标。  相似文献   

9.
Distance effect has been regarded as the best established marker of basic numerical magnitude processes and is related to individual mathematical abilities. A larger behavioral distance effect is suggested to be concomitant with lower mathematical achievement in children. However, the relationship between distance effect and superior mathematical abilities is unclear. One could get superior mathematical abilities by acquiring the skill of abacus-based mental calculation (AMC), which can be used to solve calculation problems with exceptional speed and high accuracy. In the current study, we explore the relationship between distance effect and superior mathematical abilities by examining whether and how the AMC training modifies numerical magnitude processing. Thus, mathematical competencies were tested in 18 abacus-trained children (who accepted the AMC training) and 18 non-trained children. Electroencephalography (EEG) waveforms were recorded when these children executed numerical comparison tasks in both Arabic digit and dot array forms. We found that: (a) the abacus-trained group had superior mathematical abilities than their peers; (b) distance effects were found both in behavioral results and on EEG waveforms; (c) the distance effect size of the average amplitude on the late negative-going component was different between groups in the digit task, with a larger effect size for abacus-trained children; (d) both the behavioral and EEG distance effects were modulated by the notation. These results revealed that the neural substrates of magnitude processing were modified by AMC training, and suggested that the mechanism of the representation of numerical magnitude for children with superior mathematical abilities was different from their peers. In addition, the results provide evidence for a view of non-abstract numerical representation.  相似文献   

10.
This study examines pre-school children's learning styles by utilising a mathematical model. The model uses a Euclidean geometry algorithm to generate a graphical representation of the learning styles. The algorithm of the developed mathematical model was developed as a practical application of the theoretical assumptions. Index of Learning Styles for Children (ILSC), developed by one of the researchers, has been applied to a total of 301 five-year-old children. Results of the study indicate that children utilise the active, cognitive and visual learning styles under the control of the right hemisphere, and the sequential (analytical) learning styles under the control of the left hemisphere. The modelling algorithm reveals that the children's learning style preferences are shifted towards the right hemisphere at the rate of 8%. The results also provide empirical support that the developed model can mathematically explain the theoretical assumptions it is based on.  相似文献   

11.
INTRODUCTION Vertical-Cavity Surface-Emitting Lasers (VCSELs) are a new generation of semiconductor lasers that differ considerably from the conventional edge-emitting lasers. In recent years, the characteris- tics of VCSELs have improved enormously (Badilita et al., 2004). Today’s VCSELs have low-threshold current densities and high output power. Moreover, their circular output beam profiles and the suitability to be integrated into 2D arrays make them most promising candidates …  相似文献   

12.
针对数学及数学建模的重要性,探讨在大学数学教学过程中融入数模思想的原因和原则,并说明了如何在教学过程中融入数学建模,最后列举主干课程中较为适合的实际问题模型。  相似文献   

13.
计算机辅助教学对教学过程、课堂信息量和师生之间的交流将产生较大影响。提高教师对计算机辅助教学的认识,加强教师计算机技术的培训,充分发挥计算机在教学中的作用。  相似文献   

14.
计算机辅助大学数学教学   总被引:1,自引:0,他引:1  
在计算机技术高度发展的今天,如何更好地利用计算机技术改进大学数学教学是值得探讨的.计算机辅助教学的有益之处可以从学生、教师和其它方面加以阐述.微积分、线性代数和初等几何等课程中部分教学内容都可以利用计算机辅助教学  相似文献   

15.
本文简要回顾了 2 0世纪 80年代以来 ,我国数学教育界部分学者、教师自觉学习与应用数学方法论指导数学教学方法改革的历史足迹 ,其中“贯彻数学方法的教育方式 ,全面提高学生素质”的数学教育实验 (简称MM教育方式实验 )已从无锡拓展到湖北、天津、北京、新疆等十余个省市。这对进一步推进数学素质教育提供了重要启示。  相似文献   

16.
讨论了数学建模与数学实验的步骤、工具和目的,着重阐述3个观点:数学建模的核心步骤是建模,数学模型的求解隶属于数学,而非数学建模;数学建模的核心工具是数学,计算机作为数学之工具间接地用于数学建模;就数学实验自身而言,其主要目的是辅助做数学;就教学而言,数学实验的主要目的是培养学生运用计算机研究、学习数学的能力。  相似文献   

17.
数学模型与数学实验教学如何适应现代数学科学的迅猛发展,满足社会对高素质数学人才的需求,是高等理工科院校共同面临的课题。从教学观念的改变、教学内容的更新、教学模式的优化以及教学考核机制的完善等方面进行研讨,主旨在为数学模型与数学实验教学改革探索有效的解决途径。  相似文献   

18.
Abstract

This study investigated the mediating roles of self-efficacy and anxiety on the effects of teacher–student relationship on mathematical problem-solving ability. A total of 1667 fifth graders from central China participated in the large-scale survey. The findings indicated that (1) teacher–student relationship had a direct and positive effect on students’ mathematical problem-solving ability; (2) the positive link between teacher–student relationship and mathematical problem-solving ability was partially mediated through self-efficacy; (3) the teacher–student relationship affected students’ mathematical problem-solving ability through self-efficacy and maths anxiety, but the effect of self-efficacy on mathematical anxiety was smaller. Implications for the importance of teacher–student relationships in education as well as suggestions for future research are discussed.  相似文献   

19.
Identifying individuals with mathematical difficulties (MD) is becoming increasingly important in our education system. However, recognising MD is only the first stage in the provision of special educational needs (SEN). Although planning the effective remedial support is vital, there is little consensus on the interventions that are appropriate. There are two main reasons for this: first, MD has a variety of manifestations which appear to change with age; and second, there are many potential causes for the difficulties individuals experience. This paper addresses these issues by reviewing research evidence from three 'domains' of psychological research (genetic, cognitive, behavioural), all of which appear to offer insights into potential influences on mathematical ability.  相似文献   

20.
计算机辅助设计和绘图始创于20世纪50年代的美国,经过几十年的发展,计算机技术已经广泛的运用到各个领域,代替手工操作。计算机由最初的数据、字处理,发展到今天的图形处理。计算机图形和图像学,是计算机技术发展的最新阶段。在平面构成的教学中,计算机作为一个重要的辅助工具,对思维的开发起着巨大的作用。  相似文献   

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