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1.
数学概念是构成数学知识的基础,是基础知识和基本技能教学的核心,正确地理解数学概念是掌握数学知识的前提。数学概念的教学十分重要,因此在概念教学时就应从多方面进行分析,设计出具体有效的教学方法。本文将对数学概念的创造性教学方法进行论述,中学数学概念的创造性教学有利于学生更准确、更全面、更深刻地理解和掌握数学概念。  相似文献   

2.
数学概念是数学大厦的基石。数学概念的教学足数学教学的重要组成部分。对数学概念的理解掌握深刻与否,影响着学生数学观念、数学素质的形成。按传统理解,教学是南教和学两方面组成的。本文的侧重点是探究数学教师如何教数学概念。意在通过吸纳前人的研究基础上,结合自己的教学实际,进行深入反恩,从而建构自身内存的数学理论和方法。  相似文献   

3.
数学概念是数学知识的基础,准确理解数学概念是学生学好数学的关键,这也是中职数学教学的重点内容,而概念教学也需要好的问题情境的导入.基于此,本文将把“对数”作为研究案例,从教学目标和学生心理出发,探讨如何有效地设计问题串,以此帮助学生突破学习重难点,促进对概念的理解与掌握.  相似文献   

4.
概念教学在整个数学教学中占有重要的地位,而数学概念的理解是概念教学的中心环节。要让学生理解数学概念,就是让其真正掌握概念的本质属性。本文从运用变式突出本质、反面衬托促进理解、多层次抽象概括、简练语言表述定义、与相近概念进行比较等五个方面来阐述如何引导学生理解数学概念。  相似文献   

5.
概念是最基本的思维形式。数学中的命题,都是由概念构成的,数学中的推理和证明,又是由命题构成的。因此,数学概念的教学,是整个数学教学的一个重要环节。正确的理解数学概念,是掌握数学知识的前提,数学概念好比支点,而数学法则、定理好比杠杆。可见概念的重要性。初中阶段尤其是初一,概念较多,怎样组织教学,才能使学生更好的掌握呢?本人在多年教学中,总结出概念教学的三注重,收到了良好的效果。  相似文献   

6.
数学概念是数学的基石,帮助学生理解、掌握数学概念是数学教学的一项重要任务。本文通过对“概念同化教学模式”和“APOS理论教学模式”的比较,就在数学概念教学中,应如何帮助学生正确、有效地掌握数学概念提出相关建议。  相似文献   

7.
数学概念是小学数学基础知识的重要组成部分,是培养和发展学生数学能力的重要内容。学生掌握和理解数学概念,是学生理解并掌握运算法则、形成运算能力的基础,那么.怎样教数学概念呢?我认为在实际教学中.应把握好以下几点:  相似文献   

8.
沙尉 《广西教育》2013,(2):77-77
掌握数学概念是开展数学思维的基础,学好数学概念才能正确进行判断、分析、推理、运算,有效解决数学问题。数学概念比较抽象,表达语言高度精练。在当前的初中数学教学中,还有很多老师采用“展示概念一讲解概念一理解概念一巩固概念”的固定模式进行概念教学,方式死板单调,缺乏生机和活力,导致课堂气氛沉闷,学生失去学习兴趣,教学效果不佳。因此,数学教师需要转变教学方式,精心设计教学,从初中学生的心理特征、认知特点出发,在概念引出、形成、巩固、深化阶段,将静态的概念教学动态化,让学生获得充分的学习体验,增强对概念的理解,提高教学效果。  相似文献   

9.
初中数学教学应注重数学概念教学,认识数学概念在教学中的重要地位,理解数学概念在构建数学知识体系中重要作用,挖掘概念的内涵与外延,培养学生的数学核心素养。  相似文献   

10.
数学概念是客观事物中数量关系和空间形式本质属性的反映,理解好数学概念是学生学好数学的前提.概念教学作为小学数学教学的起始环节显得非常重要,概念教学的质量决定小学数学教学的质量.但有不少教师对数学概念的教学力不从心,觉得难教,以致教学效果不理想;学生对数学概念觉得特别抽象且难以理解,往往不能正确把握概念的内涵和外延,导致对概念的错误理解和应用.那么,教师应如何进行数学概念的教学呢?  相似文献   

11.
美国数学教育家杜宾斯基提出的APOS理论是一种建构主义的数学学习理论,他将数学概念的建构分为Action、Process、Object、Scheme四个阶段.在对该理论的认识基础上,结合高职学生数学学习认知的心理特点,对化工专业高等数学概念的教学进行探讨,并就如何进行数学概念教学设计作了探索,使学生主动建构其概念体系.  相似文献   

12.
《经济数学基础》是广播电视大学(以下简称"电大")财经各专业重要基础课。经济数学注重运用数学方法解决经济问题,经济问题的解决加深了对数学概念和方法理解。在《经济数学基础》课程教学中,案例教学法是一种重要教学方法,成功的案例教学往往能取得良好教学效果。以《经济数学基础》中有关银行利息复利计算为教学内容;以购买理财产品为教学情境,介绍一堂生动的理财案例教学课,并对经济数学案例教学进行有益的教学反思。  相似文献   

13.
符合学生专业学习需要的教学效果,是高职数学教育教学追求的目标。本文针对数学教学过程中有关有效教学时间、简单理解、有针对性处理教学内容,以及师生关系等与教学效果相关的教学思想与观念,阐述了数学教学效率意识的作用和意义,认为在高职数学教育教学中强调数学教学效率意识,对于高职数学教育教学的改革与发展有着重要的现实意义。  相似文献   

14.
数学是由概念与命题等内容组成的知识体系,是一门以抽象思维为主的学科,因此概念是数学基础知识和基本技能教学的核心。学生数学素养差,关键表现在对数学概念的理解、应用和转化等方面的不足。文章指出了现行中学数学概念教学中可能出现的弊端,并根据学生的认知特点及数学本身的特征介绍了如何进行数学概念教学的几种方法。  相似文献   

15.
结合教学实践,从概念形成、定理掌握、问题解决等几个方面分析了合情推理在数学知识学习中.以及在分析问题和解决问题中的作用。认为在高等数学教学中充分利用合情推理的各种模式培养学生创新能力是非常必要的。  相似文献   

16.
There is widespread belief that computers should be used for the teaching and learning of mathematics. Research indicates that computers are primarily used in mathematics classes: (1) to reinforce previously taught concepts, (2) to allow students to construct computer programs to simulate mathematical techniques known to the student and (3) to explore mathematical microworlds encompassing mathematical ideas and concepts normally known to the student. Furthermore, it is said that pre-service teachers should experience the learning of mathematical ideas and concepts of which they had no prior experience in environments in which computers are just one of the resources available for exploring and experimenting with these ideas and concepts. How should these learning environments be constructed so that pre-service teachers are sensitised to the value of doing mathematics in such environments? Is a student's understanding of novel mathematical concepts enhanced when s/he explores it in a computer-enriched environment? An experiment with pre-service teachers was carried out in a college of education for blacks in South Africa. This article describes the insights gained from this experiment.  相似文献   

17.
Technology according to the National Council of Mathematics plays a special role in teaching and learning mathematics. Technology when used effectively can deepen mathematical understanding and lead to greater abstraction. But, not all uses of technology lead to this desired result. Defining cognitive and mathematical fidelity and using it to determine which Web-based formats lead to greater generalizing and abstraction will help in understanding why interactive math objects empower teachers to build a better, deeper understanding of math concepts.  相似文献   

18.
We analyze the interrelations between prospective and practicing teachers' learning of the mathematics of change and the development of their emerging understanding of effective mathematics teaching. The participants in our study, who were all interested in teaching secondary mathematics, were mathematics majors who had significant formal knowledge of the fundamental concepts of calculus prior to taking our courses, but who often experienced and expressed procedural orientations toward the teaching of mathematics. To address this difficulty, we developed novel computer-based activities to challenge the participants' mathematical understandings and required them to use technology during short teaching episodes they conducted with younger students. To analyze our participants' understandings, we developed a framework that juxtaposes the roles of the participants as students and teachers, and their understanding of mathematics and of pedagogical strategies. Our analysis of the participants' views from these different perspectives enabled us to see simultaneously the intertwined development of subject matter insights and specific views of teaching. This revised version was published online in August 2006 with corrections to the Cover Date.  相似文献   

19.
This paper explores the nature of the language used when teaching mathematics to young children. It proposes that an important part of the teaching of a mathematical concept is the introduction of specific terminology. Children may need to be taught new meanings for already familiar words. The timing of these introductions to new words or meanings is critical to their understanding of the concepts being taught. It will be argued that there are two aspects of the children's learning that need to be considered. First, their understanding of the concept being introduced, and secondly, their learning the appropriate word to describe that concept. By assessing children's understanding of new mathematical concepts through their own use of the terminology, the teacher can then negotiate new meanings with them through practical experiences, introducing new word meanings only when the concepts have been understood.  相似文献   

20.
数学教学的目的是把科学形态的数学有效地转化为教育形态的数学知识.引入知识元和问题活性化等新概念,以中学数学为例,对新概念进行解析,对提高教师在知识传授过程中活性化知识的量和质是十分有益的.  相似文献   

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