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数学概念是初中数学教学的重要内容,如何帮助学生正确理解数学概念是提高教学质量的重要环节之一.目前,概念教学侧重学生对数学概念的应用,弱化了学生推导数学概念的过程,忽略了学生理解数学概念的本质,切断了学生延伸数学概念,阻碍了学生学习数学概念背后的数学思想和方法.针对以上概念教学的弊端,文章基于APOS理论,研究如何有效帮助学生领悟数学思想,并提出了优化初中数学概念教学的策略. 相似文献
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数学概念是进行数学推理、判断的依据．是建立数学定理、法则、公式的基础,也是形成数学思想方法的出发点。因此数学概念学习是数学学习的基础．数学概念教学是数学教学的一个重要的组成部分、本文论述了数学概念学习的内容、数学概念的学习的形式以及数学概念的教学设计．阐述了数学概念的引入、数学概念的理解．以及数学概念的运用的方法,期望对数学教学有所帮助。 相似文献
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小学数学教材中．根据小学生不同阶段的认知水平．数学概念采取了不同的呈现形式．有的数学概念只给出了概念的名称．有的数学概念只是描述了概念外延的一部分,对于有的概念．则以比较通俗的语言揭示概念的本质属性．有的则给出了概念的数学定义．但不管采取哪种形式．都要与将来数学中的严格定义不矛盾。数学概念呈现形式的多样性．增加了小学数学概念教学的难度．也引发了一些问题．下面是在小学听课的过程中以及在与小学数学教研员的交流过程中． 相似文献
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郜洪三 《中国科教创新导刊》2014,(15):143-143
本文首先介绍了数学概念的定义及重要性,然后结合教学实践,从数学概念的四种引入方式、抓住本质属性剖析数学概念、精心设计练习巩固深化数学概念三个层次阐述了如何进行数学概念教学的问题. 相似文献
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数学概念的教学是数学教学的一个重要方面,但数学概念的抽象性使得数学概念的教学相对棘手,针对这种情况,本文介绍了几种数学概念的教学方法。 相似文献
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李潜 《数学学习与研究(教研版)》2011,(1)
数学概念是高中数学教学的主要内容,是学生学好数学的基础,本文从概念的引入、概念的形成、概念的巩固三个方面分析了数学概念教学的原则,在此基础上提出了数学概念教学的若干策略. 相似文献
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数学概念是构成数学体系的基石,而小学数学概念又是构成数学概念体系的基石,要想提高小学生数学学习的质量,首先就要抓好概念的教学.笔者就小学数学概念教学存在的问题及策略,做了一定的探讨,供同仁参考. 相似文献
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数学概念教学是构成数学基础知识的重要组成部分,准确地理解概念是学好数学的前提,概念的引入、形成、理解、掌握、运用是数学概念教学中应该注意的问题。 相似文献
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喻平 《广西师范大学学报(哲学社会科学版)》1991,(Z1)
提出数学概念体系的特点。运用现代认知同化理论,分析了数学概念体系对数学概念的理解、保持及运用的作用,并得出了这一过程的结构关系。 相似文献
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分析了数学概念的特点及其学习的主要影响因素,认为不正确的概念意象和薄弱的抽象概括能力是阻碍学生数学概念学习的主要原因;提出了营造概念学习情境、计算机图形培育概念直觉、突出概念本质属性、强化概念之间普遍联系等教学策略。 相似文献
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In this paper we study the mathematical body as an assemblage of human and non-human mathematical concepts. We argue that learners’ bodies are always in the process of becoming assemblages of diverse and dynamic materialities. Following the work of the historian of science Karen Barad, we argue that mathematical concepts must be considered dynamic material, and we suggest a “pedagogy of the concept” that animates concepts as both logical and ontological. We draw on the philosopher of mathematics Gilles Châtelet in order to pursue this argument, elaborating on the way that mathematical concepts partake of the mobility of the virtual, while learners, in engaging with this mobility, enter a material process of becoming. We show how the concept of virtuality allows us to look at mathematical concepts in school curriculum in new ways. 相似文献
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杨庆生 《乌鲁木齐成人教育学院学报》2009,17(2)
《高等数学》是一门工具性课程,重在使用,必须讲清楚数学概念产生的源和流,在解题过程中引导学生加深对数学概念的理解,进而提高学生的数学应用能力。 相似文献
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Kazutoshi Aso 《Community College Journal of Research & Practice》2013,37(5-6):355-360
In general, students in school learn mathematical concepts by words. Some mathematical concepts, however, are difficult to understand by words. This is especially true of some of the more complicated concepts in mathematics taught in higher education. For students who are studying to become engineers, it is very important to understand mathematics intuitively. Ways must be found for them to learn mathematics that will promote intuitive understanding. We often find that a figure helps us understand mathematical concepts and provides important clues for solving problems. A figure may serve as a concrete expression of an abstract mathematical concept; it is a visual image of the mathematical concept. A visual image is a figure with no words but its title. The aim of this article is to introduce some visual images that are effective in mathematical education. 相似文献
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Cyril Julie 《British journal of educational technology : journal of the Council for Educational Technology》1991,22(2):99-109
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
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数学概念的形成过程是一个归纳、概括、抽象的过程,因此概念的教学过程是一个探究的过程。数学概念从其形式上看,它是中学教学的表层知识,但是一个数学概念的背后往往蕴含着丰富的数学思想。在概念教学中注意数学思想方法的渗透,可以完成数学概念和数学思想方法的双重教学。 相似文献
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Loretta C. Rudd Matthew C. Lambert Macy Satterwhite Amani Zaier 《Early Childhood Education Journal》2008,36(1):75-80
Previous research indicates that, prior to entering kindergarten, most children are exposed to some type of formal or direct
mathematics instruction. However, the type of mathematical language and the frequency of its use vary greatly in terms of
its emphasis on academic content. This study investigated the types and frequency of mathematical language used in six classrooms
for children ranging in age from birth to five years. The study site was a quality early childhood setting at a state university
in Southwest. Results indicated that utterances pertaining to spatial relations exceeded any other type of mathematical concepts
by approximately twice the frequency. In addition, there was a paucity of higher level mathematical concepts observed. These
data suggest a need for enhanced attention to higher level mathematical concepts explored in early childhood settings. 相似文献