高校数学教学中数学建模思想探析外文翻译资料

高校数学教学中数学建模思想探析

原文作者 Changrui Deng,Xiaohong Zhou

摘要：数学分析从数学专业学生作为数学专业的学生从一般小学数学入门课程，其内容与中学数学依然存在很大关系，而它在扩展知识期间也有很多变化。 在此基础上，本文提出了高校数学教学中数学建模思想的分析。 数学建模教学采用开放式教学方法也是为了完善将具体课程内容作为重点，对开放式数学教学模型进行各种变体的功能使这种模式具有指向性。 我们提出了新的教育范式，这对于系统的进一步发展将是必不可少的，未来，我们将应用更多的方法来增强当前提出的模型。

关键词：数学建模，大学数学，教学

1.背景介绍

方法论是一种目标理论，它的实施方式是作为科学研究对象和研究方法的发展的普遍规律。每个人都有自己独特的学习方法，数学也不例外。数学方法论是对数学发展规律的研究和讨论，数学思想的演变和对数学的发现，创新和发明以及数学知识的学习方法都积累了数学活动的经验概述和哲学总结作为大众文化，数学方法论是数学方法的一般理论。如果说数学方法论根据其研究对象和内容来区分可以分为宏观数学方法论和微观数学方法论，而宏观数学方法论是抛开数学的内在因素，只研究数学发展的外部动力，主要从整体上研究数学对象，数学特征，数学发展规律和数学人才培养方法等方法。它不研究具体方法的数学概念，定义，命题，定理，证明，推理和其他方面。

数学分析进入高等数学为普通初等数学专业的学生开始课程的数学，其内容与中学数学仍然存在涉及非常多，而它在扩张的知识，也有很多变革。从主依赖对数和形状直观理解区分，理解概念一方面，转换为区分通过依赖抽象数学叙述理解在大多数情况的概念。另一方面将逻辑推理从单一的形式转化为更复杂的形式。因此，如何提高数学分析课程的教学效率，以及如何提高数学分析课程教学质量始终是各高校数学专业学科建设的重点和难点。在大学数学教学中运用灵活的数学方法论是各大学目前采用的通用方法。用它提高课堂效率促进学生学习数学的积极性。数学建模是一个数学，数学，数学过程，体现了学习和使用的统一。数学建模是数学和实际问题之间的桥梁。数学在各个领域得到广泛应用。这是实现数学科学技术转化的主要途径。数学建模在科学技术发展中的重要作用越来越受到数学和工程界的重视，并成为现代科技工作者必备的重要能力之一。因此，本文将讨论该模型的核心观点，并进行系统的设计和实施。

2.建议方法

2.1高校评估的教学改革

教育的价值在于提高全民素质，培养合格公民。 二是提高人才综合素质，使受过教育的人们在道德，思想，身体和审美等方面能够和谐发展。 对于高校管理教育和当前需要从学生的片面要求中，只要把科学知识的专业知识和科学知识的科学教育价值观教育的价值观质量。 对于现代大学的改革，我们应该特别注意以下几个方面。

bull;在教学活动中，教师不断学习，启发学生思考，问问过程，还有自己的学习来改进和创新过程。当然，这个老师的个人观念，知识结构，能力提出了高于传统教学方法的要求。要实现教学目标应注重教师队伍建设，师资培训，学术研究，加强教育心理学，课程理论，教学方法的培养，应成为培养教师专业技能的重要环节。

bull;加强教师队伍建设。由于研究型教学内容不可避免地涉及到不同学科，短期内个别教师通过培训等形式和方法无法掌握跨学科知识。因此，根据任务的需要，将有不同的教师的知识和技能，形成一个院系，跨部门，学校的教学团队，通过教师的参与，相互讨论来了解研究型教学的本质，迫切需要解决这个问题。

2.2大学数学教学范式

高等数学基础理论力强，逻辑性强，其推理，证书，数据计算必须经过审查，没有任何虚假的余地。应用科学可以通过多媒体教学提高课堂知识能力，增加学生的知识，充分利用多媒体教学与传统教学的结合。一个引人注目的特点是高等数学的内容是抽象的，传统的黑板写作方式，一些抽象的东西在学生面前不能直观地展示，学生使用多媒体教学更难理解，能够抽象出知识的可视化。对于高等数学课程，需要通过改革教学方法来提高学生分析和解决问题的能力。

前进创新高等数学教学不断深化改革，同时不得不抛弃对课程内容进行创新审议。在高等数学领域，没有什么重大发现不是建立在以上大胆的非常傲慢的怀疑中，在其训练中必须重视其在教学中面向高等数学的大学生学习兴趣和学习信心，如此他们可以在困难时刻勇于参与，必须十分注意培养大学生在数学理论讨论研究中的辐射思想，并没有总是以同样的模式跳出传统的老式思维模式，如这就给自己铺平了高等数学的新路。高等数学是一门对干旱学科，教师必须在教学中精心设计自己独特的教育计划和方法，巧妙运用教学技巧，从易到难逐步引导学生正确思考上来，在教学主要介绍数学思想开阔的学生视野时，合理安排当天的课程内容为学生仔细安排练习进行巩固，给学生留下更加独​​立的思考空间，然后式样提高优秀学生不断自主学习的能力。

在当前的数学教育和数学教学过程中，由于传统思想和约束的影响，重新认识，轻思维的方法，重逻辑思维，忽视非逻辑思维的现象仍然非常严重。如何教给学生“学习”和发现问题的技巧，教师应重视智力发展作用中的发散思维，努力培养学生的创造力，重视数学方法论的研究和应用，教学实践，使创造性思维的培养具有普遍的积极作用。学习和研究数学方法论，数学方法论的灵活性应用于高校数学教学不仅对学生教师教学具有重要意义。一方面要提高学生的数学学习，应用和研究效率，另一方面要使学生形成有益的思维方式和思维习惯，发挥其数学技能，从而促进数学理论的发展，因此希望广大数学教师能够广泛应用于数学教学的数学方法论课程。

2.3数学建模原理

数学建模是实现数学科学技术转化的重要手段和途径。当我们用数学方法解决任何实际问题时，首先要用数学语言来抽象和简化问题，建立描述问题的数学模型，然后用我们掌握数学知识和计算机技术来解决模型，最后在实践中对结果进行测试，并反复修复以改进模型直至实际要求。

由于我们想用数学来解决一般实际问题，几乎总是应用数学建模的思想和方法来解决。因此，教师在教学过程中，要注意培养学生掌握和运用数学建模的思想和方法，最终实现学生真正有能力运用数学知识解决客观实际问题。建构主义认为，个别学习者根据自己的背景具有不同的会议程序引用索引对知识的理解。学习者接受知识不仅是对知识的理解，而且对新知识，测试和批评的分析，以及知识和知识与思维学习之间的联系是学习者构建过程的主动权为包括同化和适应这两个过程。教学不能成为元学生，因为原始的“认知结构应该把学生的知识和经验作为新知识的学习点，引导学生从具有经验的新知识的”成长“中学习原始知识和经验。

了解不同之处，有必要在交流和探索上有所区别，学生根据现有知识和理解新知识之间的差异是宝贵的学习恐慌。数学建模本身就是一个不断探索，不断创新，不断完善和提高的过程。创新思维基础是创新思想，开放式教学方法松散构建，为学生创造了自由的环境。特别是案例教学，教师可以鼓励学生从多种不同角度进行尝试，对于获得的结果进行比较也可以通过学习别人的长处不同方法来弥补缺陷，综合利用率却找到了相对较好的解决方案。

因此，我们提出我们的建议如下： （1）情况。 强调学习环境的状况必须有利于学生建构内容的意义; （2）协作。 在整个学习协作期间，在学习数据收集和分析，假设提出和测试等方面都发挥着重要作用; （3）会议。 本次会议是合作过程中不可或缺的步骤。 在会议期间，每个学习者对整个学习小组的思考共享出版意义的建构联系与思考是意义建构的关键。

3.结论

我们认为，组织培养学生是做好这项活动的关键，也是培养学生在培养学生主要依靠教师的主要阶段的真实培训，从教育改革和长远来看，应该培养和建立数学的坚实基础，我们不仅要体验数学建模竞赛和数学教学改革的关系，培养学生能力的能力，还要认识到这个活动也是对竞争的考验。学校老师和一个标志的整体水平。在此基础上，本文提出了高校数学教学中数学建模思想的分析。数学建模教学采用开放式教学方法也是将完美的具体课程内容作为重点，功能就像对开放式数学教学模型进行各种变体使这种模式具有针对性，灵活性和可行性。随着教师素质的不断提高，相信这种教学方法能够提高学生的造型意识和核心创新思维导致学生具备数学知识解决客观实际问题的能力，也将为其下一次就业奠定坚实的基础。

外文文献出处：Conference Proceedings Citation Index

Analysis of Mathematical Modeling Thought in College Mathematics Teaching

Changrui Deng, Xiaohong Zhou

( Jiangxi College of Engineering,Xinyu,Jiangxi,338000 China )

Abstract. The mathematical analysis enters the higher mathematics as the mathematics specialized student from the general elementary mathematics the initiation curriculum, its content and middle school mathematics still exist relate very much, while it during the expansion knowledge as also has many transformations. Under this basis, this paper proposes the analysis of the mathematical modeling thought in college mathematics teaching. Mathematics modelling teaching uses the open style teaching method also to wait for consummates regards the concrete course content the main point, the function as carries on each kind of variant to the open style mathematics educational model enable this kind of pattern to have pointed. We propose the novel paradigm for the education that will then be essential for the further development of the systems, in the future, we will then apply more of the methodologies to enhance the current proposed model. Keywords: Mathematical Modeling, College Mathematics, Teaching.

1 Introduction

Methodology is a theory of goal and its implementation way is the common law of development as the research object and research method of the science. Each has its own unique learning methodology, mathematics is no exception. Mathematical methodology is the study and discussion of the law of development of the mathematics, mathematics thought evolution and the discovery, invention and innovation in the mathematics of the science and the mathematical methodology for knowledge has accumulated experience in the mathematics activity overview and summary of philosophy as popular culture, mathematics methodology is the general theory of mathematical method. If the mathematical methodology according to its research object and content to distinguish can be divided into macro mathematics methodology and the micro mathematical methodology and the macro mathematics methodology is to put aside the internal factors of mathematics, only to study the external power of mathematical development, mainly from the overall study of the mathematical obje

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Analysis of Mathematical Modeling Thought in College Mathematics Teaching

Changrui Deng, Xiaohong Zhou

( Jiangxi College of Engineering,Xinyu,Jiangxi,338000 China )

Abstract. The mathematical analysis enters the higher mathematics as the mathematics specialized student from the general elementary mathematics the initiation curriculum, its content and middle school mathematics still exist relate very much, while it during the expansion knowledge as also has many transformations. Under this basis, this paper proposes the analysis of the mathematical modeling thought in college mathematics teaching. Mathematics modelling teaching uses the open style teaching method also to wait for consummates regards the concrete course content the main point, the function as carries on each kind of variant to the open style mathematics educational model enable this kind of pattern to have pointed. We propose the novel paradigm for the education that will then be essential for the further development of the systems, in the future, we will then apply more of the methodologies to enhance the current proposed model. Keywords: Mathematical Modeling, College Mathematics, Teaching.

1 Introduction

Methodology is a theory of goal and its implementation way is the common law of development as the research object and research method of the science. Each has its own unique learning methodology, mathematics is no exception. Mathematical methodology is the study and discussion of the law of development of the mathematics, mathematics thought evolution and the discovery, invention and innovation in the mathematics of the science and the mathematical methodology for knowledge has accumulated experience in the mathematics activity overview and summary of philosophy as popular culture, mathematics methodology is the general theory of mathematical method. If the mathematical methodology according to its research object and content to distinguish can be divided into macro mathematics methodology and the micro mathematical methodology and the macro mathematics methodology is to put aside the internal factors of mathematics, only to study the external power of mathematical development, mainly from the overall study of the mathematical objects, mathematical characteristics, the law of mathematical development and the cultivation of mathematical talents and other methods of methodology. It does not study the mathematical concepts, definitions, propositions, theorem, proof, reasoning and other aspects of the specific method [1-6].

The mathematical analysis enters the higher mathematics as the mathematics specialized student from the general elementary mathematics the initiation curriculum, its content and middle school mathematics still exist relate very much, while it during the expansion knowledge as also has many transformations. On the one hand from the main dependence logarithm and the shape direct-viewing understanding distinguished, the understanding concept, transforms for distinguishes understanding concept in the most situations through the dependence abstract mathematics narration. On the other hand transforms in the logic reasoning from the quite sole form into a more complex form. Therefore, how enhances the mathematical analysis curriculum the teaching efficiency, and how improves the mathematical analysis curriculum to teach the blue quality of the teaching that always is each college mathematics specialized discipline construction key point and the general diffculty. Applies nimbly mathematics methodology in the university mathematics teaching is universal method which each big university current adopts. With it enhance the classroom efficiency promotes the student to study the mathematics of enthusiasm. Mathematical modeling is a mathematical, mathematical, mathematical process, which embodies the unity of learning and use. Mathematical modeling is a bridge between mathematics and practical problems. It is the medium that mathematics is widely used in the various fields. It is the main way to realize the transformation of science and technology in mathematics. The important role of mathematical modeling in science and technology development is more and more influenced by mathematics and engineering industry attention, and has become a modern science and technology workers must be one of the important capabilities. Therefore, this paper will discuss the core perspectives of the model and will conduct the systematic design and implementation.

2 Our Proposed Methodology

2.1 Teaching Reform in Colleges Review

The value of education is to improve the quality of the whole

nation and cultivate qualified citizens. The second is to improve the overall quality of talents so that the educated people can develop harmoniously in moral, intellectual, physical and aesthetic aspects. For the university management education and the current need from the one-sided requirements of students as long as the professional and professional knowledge of the scientific and technological knowledge of the scientific education values to the quality of education values. As for the reform of the modern universities, we should pay special attention to the following aspects.

bull;In the teaching activities, teachers continue to study, inspire students to think, ask the process, but also their own learning to improve and innovates the process. Of course, this teachers personal concept, knowledge structure, ability to put forward higher than the traditional teaching methods requirements. It is necessary to achieve the teaching objectives should pay attention to the construction of teachers, teachers training, academic research, strengthen the education psychology, curriculum theory, teaching methods of training should be an important part of the training of teachers professional skills.

bull;To strengthen the construction of teachers teaching team. Because of the research-oriented

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