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Metodički aspekti nastave matematike IV最新文献

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MATEMATIKA KROZ IGRU – MOGUĆNOSTI UPOTREBE IKT
Pub Date : 2021-10-01 DOI: 10.46793/manm4.101a
Branka Arsović
Due to its voluntary and unburdening character, game is an excellent medium for learning. Children learn through games, because on the basis of rules, settings and their own skills, they understand the existing and define new concepts and relations between them. The game meets one important requirement of education – straightening multiple skills at the same time. Learn- ing mathematics is a challenge for many students, so the game seem like a good solution to bring mathematics closer to students. Mathematical games encourage strategic thinking, problem solving and develop logical thinking. Combining play as a form of learning with ICT progress, computer games became a new teaching tool. Video games are a much better representative system for learning mathematics than symbolic representations on static pages of textbooks.
由于其自愿和无负担的特点,游戏是一种极好的学习媒介。孩子们通过游戏来学习,因为在规则、设置和他们自己的技能的基础上,他们理解现有的和定义新的概念和它们之间的关系。该游戏满足了教育的一个重要要求——同时矫正多种技能。学习数学对许多学生来说是一个挑战,所以这个游戏似乎是一个很好的解决方案,让数学更接近学生。数学游戏鼓励战略思维,解决问题和发展逻辑思维。将游戏作为一种学习形式与信息通信技术的进步相结合,电脑游戏成为一种新的教学工具。电子游戏是学习数学的一个更好的代表系统,而不是教科书上的静态页面上的符号表示。
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引用次数: 0
POZITIVNE I NEGATIVNE STRANE PET METODIČKIH PRISTUPA U RANOM MATEMATIČKOM OBRAZOVANJU
Pub Date : 2021-10-01 DOI: 10.46793/manm4.302c
Vana Colić
There is a tendency today, both in the world and in our country,for children education to start early. In this context, mathematics education begins early as well, even before children start school, wherein different approaches are used. This paper presented five methodical approaches in early mathematics education, highlighting the good and bad sides of each one – the method of Maria Montessori, the method of the Russian author Nikolai Zaitsev, the system of de- veloping games designed by the Nikitins, the Waldorf pedagogy and the increas- ingly popular Suan Pan method. Most of these approaches are applied within institutionalized forms of early education, with the exception of the system of developing games that the Nikitins have designed for use in family conditions. Some of the approaches have had a very significant impact on the development of curricula in preschool institutions, such as the views of Maria Montessori and Waldorf pedagogy, while other approaches are less known and represented in practice. It is considered as very important to know different theories and ap- proaches while working with children, so that the practical pedagogical work is scientifically based. Nevertheless, the integration of various approaches into a single concept is not simple, as some of these theories are not only different, but also contradictory. This only confirms the need and necessity for early education, including mathematical education, to be interdisciplinary, taking into account knowledge in various fields of science, as well as interactive, including all partici- pants in the child’s development, children, experts and parents.
如今,无论是在世界上还是在我国,儿童教育都有过早开始的趋势。在这种情况下,数学教育也开始得很早,甚至在孩子开始上学之前,其中使用了不同的方法。本文介绍了早期数学教育的五种方法,并突出了每一种方法的优点和缺点——玛丽亚·蒙台梭利方法、俄罗斯作家尼古拉·扎伊采夫方法、尼基金设计的开发游戏系统、华德福教学法和日益流行的Suan Pan方法。这些方法大多应用于制度化的早期教育形式,除了Nikitins设计的用于家庭环境的游戏开发系统。其中一些方法对学前教育机构的课程发展产生了非常重要的影响,例如玛丽亚·蒙台梭利和华德福教学法的观点,而其他方法则鲜为人知,并在实践中有所体现。了解不同的理论和方法对幼儿教学工作是非常重要的,这样才能使实际的教学工作有科学的依据。然而,将各种方法整合到一个概念中并不简单,因为其中一些理论不仅不同,而且是矛盾的。这只是证实了早期教育,包括数学教育的需要和必要性,是跨学科的,考虑到各个科学领域的知识,以及互动,包括儿童发展的所有参与者,儿童,专家和父母。
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引用次数: 0
MOTORIČKE VEŠTINE, POKRET I MATEMATIKA
Pub Date : 2021-10-01 DOI: 10.46793/manm4.240s
Slađana Stanković, Aleksandra Aleksic Veljkovic
Learning basic mathematical concepts with the involvement of the whole body through physical movement can improve mathematical performance in children. The acquisition and development of mathematical skills can be seen as a central cognitive attribute in contemporary society. In general, we do not think about the development of motor skills and manipulative skills, such as hand–eye coordination in babies, as a basic element of cognitive development. Fine motor skills are a powerful predictor of later achievements in the field of mathematics. The authors point out that there are great differences in the level of mathematical abilities between children with the most powerful and the ones with the poorest motor skills, and that when taken together, fine motor skills, movement and play, are much stronger general predictors for achieving good results in mathematics.
通过身体运动来学习基本的数学概念,可以提高儿童的数学成绩。数学技能的获得和发展可以被视为当代社会的核心认知属性。一般来说,我们并不认为运动技能和操作技能的发展,比如婴儿的手眼协调能力,是认知发展的基本要素。精细运动技能是日后在数学领域取得成就的有力预测指标。作者指出,在数学能力最强的孩子和运动能力最差的孩子之间,数学能力水平存在巨大差异,如果把精细的运动技能、运动和玩耍结合起来,就能更有力地预测数学成绩的好坏。
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引用次数: 0
ULOGA, ZNAČAJ I MOGUĆNOSTI PRIMENE MATEMATIČKIH I DIDAKTIČKIH IGARA NA ČASOVIMA MATEMATIKE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.090i
Suzana Ilić
Summary: With various stages of social development, the way of life changed, but play remained, in all conditions, an integral part of children’s activities. Play can be a concrete and effective way to ensure the active participation of children in teaching mathematics. Learning mathematics through play and fun develops students’ interest in mathematics, develops their imagination and makes the learning process easier and more fun. This paper deals with mathematical and didactic games, their role, importance and possibilities of application in the lower grades of primary school. Some examples of mathematical and didactic games are presented, as well as the ways of their application in mathematics classes. An overview of some of the earlier research studies in the field of the use of games in mathematics classes is given.
随着社会发展的各个阶段,生活方式发生了变化,但游戏在任何情况下都是儿童活动的一个组成部分。游戏是保证幼儿积极参与数学教学的一种具体有效的方式。通过游戏和乐趣来学习数学,可以培养学生对数学的兴趣,发展他们的想象力,使学习过程更轻松,更有趣。本文论述了数学游戏和教学游戏在小学低年级教学中的作用、重要性和应用的可能性。介绍了一些数学游戏和教学游戏的例子,以及它们在数学课上的应用方法。本文概述了一些早期在数学课上使用游戏的研究。
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引用次数: 0
PERSPEKTIVE ZA RAZVOJ STATISTIČKE PISMENOSTI U POČETNOJ NASTAVI MATEMATIKE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.029m
Jasmina Milinković
The paper deals with aspects of contemporary mathematical ed- ucation related to development of statistical literacy. The achievements of fourth grade students from Serbia to TIMSS 2015 in displaying data are analyzed. The achievements of students are discussed in relation to the cognitive domain of mathematical tasks and types of graphic display. Preschool experience allows ear- ly intuitive encounter with tabular and other visual data presentation. The data display domain is not defined in Serbian primary grade curriculum; therefore, relatively high student achievements is due to informal acquisition of knowledge in this field. A comparative analysis of contents in the field of data presentation in curricula of other countries is presented. In the second part, the current text- books in Serbia are analyzed. A sample of 8 textbooks for the fourth grade of elementary school was analyzed to determine the presence of data presentation tasks. The paper gives a short overview of the research studies conducted in this field in Serbia. The aim of the paper is to encourage introducing this content in primary school mathematics curriculum.
本文论述了与统计素养发展有关的当代数学教育的几个方面。分析了塞尔维亚四年级学生在TIMSS 2015中展示数据的成绩。讨论了学生在数学任务认知领域和图形显示类型方面的成就。幼儿体验可以直观地接触到表格和其他可视化数据的呈现。塞尔维亚小学课程中没有定义数据显示域;因此,相对较高的学生成绩是由于这一领域的知识的非正式获取。对其他国家课程中数据表示领域的内容进行了比较分析。第二部分对塞尔维亚现行教材进行了分析。本研究以8本小学四年级教科书为样本进行分析,以确定数据呈现任务的存在。本文简要概述了塞尔维亚在这一领域进行的研究。本文的目的是鼓励在小学数学课程中引入这一内容。
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引用次数: 0
VEŽBE DISANjA U FUNKCIJI RAZVIJANjA POJMA PRIRODNIH BROJEVA
Pub Date : 2021-10-01 DOI: 10.46793/manm4.225m
I. Milić
Today, there are many pedagogical-psychological and methodological research studies which highlight the importance of music education for the further development of preschool children. The goals of music education in preschool institutions, in addition to envisaging the harmonious development of each child and the engagement of his/her entire personality, greatly contribute to the creation of a basis for later musical education. These goals determine the role of music education, which must be multifunctional and achieved through specific activities in integration with other disciplines. Therefore, the paper presents examples of integrating content of music ed- ucation and initial mathematical concepts. Considering that singing children’s songs is one of the most common forms of work in music education, and that is necessary to prepare children’s singing apparatus at the beginning of each activ- ity, the paper presents breathing exercises as a tool for developing the concept of natural numbers.
今天,有许多教学心理学和方法论的研究都强调了音乐教育对学龄前儿童进一步发展的重要性。学前教育机构的音乐教育目标,除了设想每个孩子的和谐发展和他/她的整个个性的参与外,还极大地有助于为以后的音乐教育创造基础。这些目标决定了音乐教育的作用,它必须是多功能的,并通过与其他学科相结合的具体活动来实现。因此,本文提出了将音乐教育内容与初级数学概念相结合的实例。考虑到唱儿歌是音乐教育中最常见的工作形式之一,在每一项活动开始时都必须准备好儿童的歌唱器具,本文提出了呼吸练习作为发展自然数概念的工具。
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引用次数: 0
SADRŽAJI LIKOVNE UMETNOSTI U NASTAVI MATEMATIKE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.212dj
Miloš Đorđević, M. Arsenijević
This paper considers the possibilities, ways and benefits of in- cluding the content of fine arts in mathematics teaching in order to overcome the dichotomy of these subjects in teaching. Divisioned into affective and cog- nitive areas, fine arts and mathematics are instructed as teaching subjects with very little or no connections between them. Their developmental and historical compatibility and interdependence are easily overlooked. Factual connection between fine arts and mathematics enables the mutual application of teaching contents in education by applying the principle of horizontal correlation and the integrative approach to the teaching process. Such approach to teaching stimu- lates the development of flexibility in thinking, the ability of divergent thinking, the establishment of functional relationships between knowledge, and indepen- dent searching for information (learning how to learn) in order to achieve more complete personal development of students and their creative capacties. In this paper, special attention is given to specific examples from the curricula of these subjects, which in the realization of teaching in a very easy and spontaneous way encourage the connection of facts.
本文探讨了在数学教学中加入美术内容的可能性、途径和益处,以克服美术学科在数学教学中的二分性。美术和数学被分为情感领域和认知领域,作为教学科目进行指导,它们之间很少或没有联系。它们在发展和历史上的兼容性和相互依赖性很容易被忽视。美术与数学之间的事实联系,通过横向关联原理和教学过程的整合,使教学内容在教育中相互应用。这种教学方式刺激了思维灵活性、发散性思维能力的发展,知识之间的功能关系的建立,以及信息的独立搜索(学会如何学习),以实现学生更完整的个人发展和创新能力。本文特别关注这些学科课程中的具体例子,在实现轻松、自然的教学方式中鼓励事实联系。
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引用次数: 0
ISTRAŽIVANjE O UPOTREBI MANIPULATIVA U NASTAVI MATEMATIKE U SRBIJI I PREPORUKE ZA USPOSTAVLjANjE I OSIGURANjE KVALITETA U EVROPSKOM OBRAZOVNOM PROSTORU
Pub Date : 2021-10-01 DOI: 10.46793/manm4.077d
Radojko Damjanović, B. Popović, D. Bankovic
This paper deals with the connection between the specific research on the use of manipulative materials in teaching mathematics and documents adopted by European institutions and bodies in the form of recommendations and guidelines for establishing and ensuring the quality of teaching and learning process. The validity and topicality of the research are presented and the reasons for choosing certain areas of research are explained. At the same time, the paper focuses on the possibility of collecting and producing new relevant evidence for making informed and responsible decisions in the field of education policies, using specific research as a generic basis.
本文讨论了在数学教学中使用操纵材料的具体研究与欧洲机构和团体以建立和确保教学质量的建议和指导方针的形式采用的文件之间的联系。提出了研究的有效性和时效性,并解释了选择某些研究领域的原因。与此同时,本文将重点放在收集和产生新的相关证据的可能性,以便在教育政策领域做出明智和负责任的决策,将具体研究作为一般基础。
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引用次数: 0
PERCEPCIJE ČETVOROSTRANIKA STUDENATA STUDIJSKOG PROGRAMA ZA OBRAZOVANjE PROFESORA RAZREDNE NASTAVE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.041r
Daniel Romano
This research aimed to examine pre-service elementary school teachers’ perceptions on quadrilaterals and their classification. For this purpose, a sample of 63 third and fourth year students of two faculties of education in Bosnia and Herzegovina was tested. Based on the feedback, the researcher was able to set up a hypothesis that this population has significant difficulties with determining quadrilaterals and their classification. This study leads to the conclu- sion that elementary school students’ misconceptions about this geometric figure are caused by their teachers’ misconceptions. Students’ underdeveloped geometric thinking (’Level 1’ by Van Hiele’s classification) is the result of their teach- ers’ poor mathematical and didactic knowledge and modestly developed skills to understand the process of teaching and learning. Thus, the problems of teaching geometry in primary schools should be perceived by shifting the focus from students to their teachers.
摘要本研究旨在探讨职前小学教师对四边形的认知及其分类。为此目的,对波斯尼亚-黑塞哥维那两个教育学院的63名三年级和四年级学生进行了抽样测试。根据反馈,研究人员能够建立一个假设,即这个种群在确定四边形及其分类方面存在重大困难。本研究发现,小学生对该几何图形的误解是由教师的误解造成的。学生不发达的几何思维(范·海尔的“一级”分类)是由于他们的教师的数学和教学知识贫乏和缺乏理解教与学过程的技能。因此,小学几何教学的问题应该通过将焦点从学生转移到教师身上来认识。
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引用次数: 0
MATEMATIKA U PREDŠKOLSKOJ USTANOVI I ŠKOLI: PROGRAMSKA ODREĐENjA I MOGUĆNOSTI OSTVARIVANjA KONTINUITETA
Pub Date : 2021-10-01 DOI: 10.46793/manm4.279kv
Emina Kopas Vukašinović
During the transition from preschool institutions to schools, chil- dren still possess an intense need for play. In this period of internalization of practical actions, playing has a special function. Although it does not represent a basic activity in the teaching system in schools, as was the case in the orga- nized activities in preschool institutions, the organization of teaching activities through play contributes to an easier adaptation of students to school obligations, to a more successful linking of teaching contents and knowledge acquisition. These statements represent the starting point for the analysis of program con- tents related to the adoption of mathematical concepts in preschool institutions and the content of mathematics in the first primary school grade. The goal of our research was specified in two directions: 1) to examine the possibilities for the realization of these teaching activities through play, by means of comparative analysis of the mentioned program contents; 2) to determine the possibilities for achieving continuity in the system of preschool and school education, by organiz- ing teaching of mathematics through play, for first grade primary school students. The research was carried out by using the descriptive method and the procedure of content analysis of primary research sources, program documents. The results of the research have confirmed that the program contents of mathematics, for first grade primary school students, do offer possibilities for the realization of teaching contents through play. This also confirms the possibility of achieving continuity in the system of institutional preschool and school education.
在从学前班到学校的过渡阶段,孩子们仍然有强烈的玩耍需求。在这个实际行动内化的时期,演奏具有特殊的功能。虽然它不代表学校教学系统的基本活动,就像学前机构有组织的活动一样,但通过游戏组织教学活动有助于学生更容易适应学校的义务,有助于更成功地将教学内容和知识获取联系起来。这些陈述代表了分析与学前机构采用数学概念和小学一年级数学内容有关的计划内容的起点。本研究的目的在两个方向上:1)通过对上述节目内容的比较分析,探讨通过游戏实现这些教学活动的可能性;2)通过组织小学一年级学生的游戏数学教学,确定在学前教育和学校教育系统中实现连续性的可能性。本研究采用描述性方法,对主要研究资料、节目资料进行内容分析。研究结果证实,对于小学一年级学生来说,数学课程内容确实为通过游戏实现教学内容提供了可能性。这也证实了在机构学前教育和学校教育系统中实现连续性的可能性。
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引用次数: 0
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Metodički aspekti nastave matematike IV
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