将数学建模思想浸透到高等数学教学中

近年来,高等数学已成为职业院校”挂科率“比较高的一门课程,也是很多学生学习的“老大难”,改善这一局面已成为急需解决的问题。为了改善这一局面,很多学校开始重视数学建模在高等数学教学中的作用,本文将就在高等数学教学中渗透数学建模思想做一些思考。     

数学建模思想融入高等数学教学的研究与探讨

数学建模是培养学生创新性应用能力的重要途径。本文通过分析了目前高等数学教学现状和存在的问题,提出了高等数学教学中渗透数学建模思想的的重要作用以及方法。     

把数学建模、数学实验的思想和方法融人高等数学课的教学中去

本文论述了把数学建模、数学实验的思想和方法融人高等数学课的教学中去的重要性和必要性，对于在现行的高等数学的教学中怎样融人数学建模、数学实验的思想和方法以及具体的切人点提出了建议，还给出了可以采用的例子。在数学教学改革中值得注意的问题也提出了自己的看法和建议。     

高职院校高等数学教学的几点思考

高等数学是高等职业教育必不可少的基础课程。为了在"必需、够用"原则下较好完成高等数学教学的任务,教师应当做好新生"磨合期"高等数学教学工作;要注重学生对高等数学的基本数学思想方法的领悟;通过数学实验和数学建模提升学生实践能力和创新精神;开发利用课程资源,不断提高自身的教学水平。     

关于开设数学建模课程的必要性探究

本文从现行高等数学教育存在的问题出发,阐述了数学建模教育的特点及优势,将数学建模思想和方法融入数学课程教学,通过案例、数学实验及应用计算机求解模型等方面论证,提出开设数学建模课程是高职教育数学教改的一个重要举措。     

高等数学教学中学生数学思维能力的培养

为了充分发挥高等数学教育的作用,培养出新世纪所需要的高层次复合人才。在高等数学教学中使学生在掌握足够的数学知识的同时,培养他们的抽象概括能力,逻辑思维能力和数学建模能力,提高他们的数学地思考、分析、表达和解决问题的能力。     

数学建模在高职数学教学中的地位与作用

高职院校培养的是应用型技术人才,高等数学作为专业课程的基础学科,在高职数学教学中渗透数学建模思想．对数学教学改革和学生多方面能力的培养都起到了一定的促进作用。     

将数学建模思想和方法融人到高等数学的课堂教学中

从高等数学的教学内容、教学方法、教学手段三个方面，介绍了如何将数学建模思想和方法融人到高等数学的课堂教学内容之中，特别强调教学改革不仅仅是教材内容的增加或删减，而是教学理念的转变。将数学建模思想和方法融人到高等数学的课堂教学中，通过数学建模和数学实验课的教学环节，使大学生了解如何运用所学的知识(包括数学知识及其他各方面的知识)去参与、解决具体的实际问题，培养其灵活运用数学知识解决复杂问题的能力，以便为社会输送更多的具有良好的数学基础、较强的动手能力、较宽广的知识面并善于接受与运用新知识的、综合素质好的复合型人才。     

例谈数学中的对称美

对称美是数学美的一个重要组成部分,它普遍存在于初等数学和高等数学的各个分支。本文讨论数学中的对称美,并给出了对称美在高等数学解题中的应用。     

“数学实验”融入高职院校数学教学的思考与实践

“数学实验”是把高等数学应用的实际问题的工具和手段,是提高学生数学应用能力的一门新兴学科。高职数学教学中融人数学实验,既要适应离职学生的学习特点,又要符合高职教育的培养目标。因此高职数学教学中穿插数学实验主要偏重于利用计算机解决问题的方法,而不是复杂的数学建模过程。     

数学建模案例的编写与使用

从数学建模案例教学的可能性与必要性出发，本文陈述浙江大学近年来在数学建模系列课程教学过程中编写和使用数学建模教学案例的经验和方法。     

Mathematics and Measurement

In this paper we describe the role that mathematics plays in measurement science at NIST. We first survey the history behind NIST’s current work in this area, starting with the NBS Math Tables project of the 1930s. We then provide examples of more recent efforts in the application of mathematics to measurement science, including the solution of ill-posed inverse problems, characterization of the accuracy of software for micromagnetic modeling, and in the development and dissemination of mathematical reference data. Finally, we comment on emerging issues in measurement science to which mathematicians will devote their energies in coming years.     

最优化——导数的应用教学单元

本教学单元包括数学建模的简述、关于可口可乐饮料罐的形状的例子、习题、考题、研究课题以及阅读材料。也有怎样组织教学的建议。教师可以运用本教学单元在微积分教学中有机地融入数学建模的思想和方法。     

The Investigation of the Fractional-View Dynamics of Helmholtz Equations Within Caputo Operator

It is eminent that partial differential equations are extensively meaningful in physics, mathematics and engineering. Natural phenomena are formulated with partial differential equations and are solved analytically or numerically to interrogate the system’s dynamical behavior. In the present research, mathematical modeling is extended and the modeling solutions Helmholtz equations are discussed in the fractional view of derivatives. First, the Helmholtz equations are presented in Caputo’s fractional derivative. Then Natural transformation, along with the decomposition method, is used to attain the series form solutions of the suggested problems. For justification of the proposed technique, it is applied to several numerical examples. The graphical representation of the solutions shows that the suggested technique is an accurate and effective technique with a high convergence rate than other methods. The less calculation and higher rate of convergence have confirmed the present technique’s reliability and applicability to solve partial differential equations and their systems in a fractional framework.     

Vocational education as preparation for university engineeringmathematics

SARTOR 3 clearly states that A-levels and Advanced GNVQs are suitable preparation for accredited engineering degree courses. In this paper, a comparison is made between the mathematical competence of students with Advanced GNVQs, and those with A-levels. The basis of this comparison is the results of a mathematics diagnostic test taken during induction week at university. The test covers fundamental areas of mathematics which underpin the study of engineering in higher education. The results indicate that A-level students, of all grades, have better basic mathematical skills than those from the vocational route     

基于现代教育观念下数学课堂教学设计的探讨

随着现代教学环境的不同,数学教学在方式、方法上有着极大的灵活性与创造性,文章以现代认知理论为指导,结合数学学科的特点和实践经验,讨论数学课堂教学模式的变化,教学改革方向和课堂教学设计的一些基本原则.     

"Mathematics made no contribution to the public weal": why Jean Fernel (1497-1558) became a physician

This paper offers a caution that emphasis upon the importance of mathematics in recent historiography is in danger of obscuring the historical fact that, for the most part, mathematics was not seen as important in the pre-modern period. The paper proceeds by following a single case study, and in so doing offers the first account of the mathematical writings of Jean Fernel (1497-1558), better known as a leading medical innovator of the 16th century. After establishing Fernel's early commitment to mathematics, and attempt to forge a career as a cosmographer, it goes on to explain his abandonment of mathematics for a career in medicine. The 'mathematization of the world picture' is usually explained in terms of the perceived usefulness of mathematics, but Fernel's case shows that for many pre-modern thinkers, mathematics was not regarded as a useful pursuit. The paper should serve as a reminder, therefore, that the take-up of mathematics by natural philosophers was by no means inevitable, but had to be carefully managed by early modern mathematical practitioners. The case of Fernel indicates that perhaps he was not the only would-be mathematical practitioner to abandon mathematics in favor of a calling that was more appreciated by contemporaries.     

Environmental Modeling—A Project Driven,Team Approach to Theory and Application

Environmental modeling is an important tool for understanding and managing complex environmental systems. Regardless of discipline, complete modeling includes a number of steps, ranging from conceptualization to application. However, modeling courses often focus on just one, or at most a few, of the steps and frequently are assignment‐driven. Moreover, they often present numerical procedures as recipes, without regard to theory or limitations and without regard to “real‐world” application. In this course, we unify the modeling sequence by exposing students to the full spectrum of modeling (mathematics, physics, and numerical methods) in the context of surfactant‐enhanced remediation of contaminated soils, a technology being developed at the University of Oklahoma. An innovative course structure is used that couples team learning with a project‐driven syllabus (also referred to as just‐in‐time learning) and combines mathematical and physical modeling via data from laboratory and field testing. Other thematic areas can easily be developed in the same framework. We believe the course pedagogy is highly portable and can serve as an example for any modeling course or for many other courses in an engineering curriculum.     

Interdepartmental and cross university collaboration in thedelivery of mathematics

The MathPool is a system for centrally storing material for teaching mathematics contributed by individuals working in Scottish higher education institutes. This shared material is made available to the participating universities over an ATM metropolitan-area network