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Metodički aspekti nastave matematike IV最新文献

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STAVOVI UČITELjA O KORELACIJI POČETNE NASTAVE MATEMATIKE I FIZIČKOG VASPITANjA
Pub Date : 2021-10-01 DOI: 10.46793/manm4.254d
M. Dejić, S. Milanović, Vesna V. Milenković, Ivana Jovanović
By correlating the initial teaching of mathematics and physical education, students can be adequately motivated and prepared for classes and thus penetrate deeper into the essence of the content that they learn and perceive its elements from several aspects. The aim of this paper was to determine the atti- tudes of teachers from Jagodina and Valjevo about the advantages of correlating these two subjects. Descriptive method was used in the research, and teachers were examined with the questionnaire. The results showed that the majority of teachers have positive opinion about this form of teaching and that they use al- ready existing lesson plans, found in variety of ways, but they are limited by the necessary material resources and lack of time. However, the research shows that there is little material related to correlation, specifically the initial teaching of mathematics and physical education, which has led us to deal with this issue.
通过将数学与体育的初始教学联系起来,可以充分调动学生的积极性,为上课做准备,从而更深入地了解所学内容的本质,从多个方面感知其要素。本文的目的是确定贾戈迪纳和瓦尔耶沃的教师对这两个学科相关联的好处的态度。研究采用描述性方法,对教师进行问卷调查。结果表明,大多数教师对这种教学形式持积极态度,他们使用已有的教案,找到了各种方法,但受到必要的材料资源和时间的限制。然而,研究表明,很少有相关的材料,特别是最初的数学和体育教学,导致我们处理这个问题。
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引用次数: 0
PRIMENA INFORMACIONIH TEHNOLOGIJA U NASTAVI BULOVE ALGEBRE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.112dj
Suzana M. Đorđević
In various scientific disciplines, especially in mathematics, com- puter science, technology, economy, sociology and medicine, solutions to many problems can be transformed in the form of “yes” or “no” or “0” or “1”. This fact, among other things, accelerated the development of electronics and digital tech- nology, and thus Boolean algebra, especially two-valued Boolean algebra. The pa- per contains three chapters. The first chapter discusses the definition of Boolean algebra, two-valued Boolean algebra and Boolean functions. The second chapter deals with the application of Boolean algebra in computer science through logic gates. The third chapter considers the application of logic gates and various ex- amples from information technology in teaching mathematics, so that students can more easily understand Boolean algebra and logical operations.
在各种科学学科中,特别是在数学、计算机科学、技术、经济、社会学和医学中,许多问题的解决方案都可以转换为“是”或“否”或“0”或“1”的形式。这一事实加速了电子和数字技术的发展,从而促进了布尔代数,特别是二值布尔代数的发展。全文共分三章。第一章讨论了布尔代数、二值布尔代数和布尔函数的定义。第二章通过逻辑门讨论布尔代数在计算机科学中的应用。第三章探讨了逻辑门和信息技术中的各种实例在数学教学中的应用,使学生更容易理解布尔代数和逻辑运算。
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引用次数: 0
POČETNI MATEMATIČKI POJMOVI KROZ UPOZNAVANjE OKOLINE POČETNI MATEMATIČKI POJMOVI KROZ UPOZNAVANjE OKOLINE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.157gi
Irena Golubović Ilić
Considering the fact that a kindergarten teacher is the only per- son in charge of the whole teaching process and therefore he/she has insight into children’s prior knowledge, possibilities and achievements, using directed activ- ities in teaching is particularly suitable for the integrative approach. Children’s environment is an inexhaustible source of knowledge, impressions, emotions and experiences. It encourages children to constantly enrich their knowledge and ex- periences, to explore, discover and develop their thinking and competences. Chil- dren should become familiar with the characteristics of objects and phenomena from their surroundings using the activities such as observing, comparing, prac- tical work, testing hypothesis, playing constructive games. Given that children consider their environment in an integrative and synthetic way, as being a unique entity, the interdisciplinary approach in teaching Environmental Education of- fers different ways of correlating and integrating different subjects. This paper presents and analyses the possibilities of planning and organizing directed activities, proposed by Methodology of Environmental Education and Methodology of Teaching Basic Mathematics Concepts, which include the inte- grative approach and correlation; the activities are illustrated with some concrete examples of teaching activities. It has been proved that integrative approach in teaching contributes to acquiring knowledge and developing both children’s and teachers’ thinking ability, creativity, physical, conative and social competences.
考虑到幼儿园教师是唯一一个负责整个教学过程的人,因此他/她洞察孩子的先验知识,可能性和成就,在教学中使用定向活动特别适合于整合方法。儿童的环境是知识、印象、情感和经验的取之不尽的源泉。它鼓励孩子们不断丰富他们的知识和经验,探索、发现和发展他们的思维和能力。儿童应通过观察、比较、实际工作、检验假设、玩建构性游戏等活动,熟悉周围事物和现象的特征。鉴于儿童以一种综合和综合的方式来看待他们的环境,作为一个独特的实体,跨学科的教学方法提供了不同的方式来关联和整合不同的学科。本文介绍并分析了《环境教育方法论》和《数学基本概念教学方法论》提出的策划和组织定向活动的可能性,包括整合法和关联法;并结合具体的教学活动实例对活动进行了说明。实践证明,综合教学法有助于儿童和教师获取知识,培养他们的思维能力、创造力、身体能力、创造能力和社会能力。
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引用次数: 0
KRITIČKA RAZMIŠLjANjA O KORIŠĆENjU INFORMACIONIH TEHNOLOGIJA U POČETNOJ NASTAVI MATEMATIKE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.146m
Marija Milinković
This paper reviews empirical studies which researched the imple- mentation and use of computers in teaching mathematics, that is the representa- tion of the current state of the technology and its use in mathematics education. The aim of the paper is to evaluate research questions, methodologies and theori- es through the framework of the “didactical tetrahedron” metaphor. The analysis has showed that it is necessary to synthesize and integrate the previous theore- tical framework on learning mathematics with the help of information technolo- gies. Even though there is a significant number of research questions related to learning mathematics using technologies, a lot of questions remain unanswered. The final part of the paper highlights the insufficiently mentioned topics and the need for further discussions that can contribute to future quality studies.
本文回顾了计算机在数学教学中的实现和应用的实证研究,即计算机技术的现状及其在数学教育中的应用。本文的目的是通过“教学四面体”隐喻的框架来评价研究问题、方法和理论。分析表明,在信息技术的帮助下,有必要综合和整合以往的数学学习理论框架。尽管有大量的研究问题与使用技术学习数学有关,但许多问题仍未得到解答。论文的最后一部分强调了未充分提及的主题和进一步讨论的必要性,这有助于未来的质量研究。
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引用次数: 0
EFEKTI PRIMENE GEOMETRIJSKIH MODELA REŠAVANJA PROBLEMA U RAZREDNOJ NASTAVI
Pub Date : 2021-10-01 DOI: 10.46793/manm4.058l
Biljana Lučić
The paper deals with practical application of geometric models at different levels, in which individual abilities of pupils are conditioned by mental differences, as well as the necessity and reasons for applying the models in early mathematics education. Different models of learning and teaching are applied to groups of students of different abilities and attributes, with the aim of achieving better results than in traditional teaching. When applying this method of teach- ing it should be taken into account that students have different attitudes, abilities and learning preferences. Solving problems through modeling enables students to find in their memory adequate mathematical knowledge and connect it with reality by constructing suitable models and algorithms. In that way, algorithmic and creative thinking is developed, which will be used in the modeling new prob- lem situations. The benefit of this model of differentiated teaching geometry contents (through problem-based teaching) is reflected in the fact that the teaching of mathematics is made more diverse and dynamic, and therefore more efficient.
本文论述了几何模型在小学生个体能力受心理差异制约的不同层次上的实际应用,以及在早期数学教育中应用几何模型的必要性和原因。不同的学习和教学模式适用于不同能力和属性的学生群体,目的是取得比传统教学更好的效果。在应用这种教学方法时,应考虑到学生有不同的态度、能力和学习偏好。通过建模解决问题,使学生在记忆中找到足够的数学知识,并通过构建合适的模型和算法将其与现实联系起来。这样,就发展了算法思维和创造性思维,并将其用于建模新的问题情境。这种差异化的几何教学内容(通过基于问题的教学)模式的好处体现在数学教学变得更加多样化和动态,因此效率更高。
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引用次数: 0
LATERALNO UNAPREĐIVANjE OBRAZOVNE EFEKTIVNOSTI ŠKOLA – NASTAVA MATEMATIKE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.267d
Radojko Damjanović, Marko Slavković, B. Popović
The paper is a project proposal for improving educational practice or educational effectiveness on the example of a specific local government (Kragujevac) by applying lateral intervention through one subject (Mathematics). All stakeholders were presented, their role and the possibility to intervene at the level of the local self-government unit, regardless of the national level, that is, the possibility to improve independently the education microsystem in the legisla- tively and regulatory framework from the national level.
本文以某地方政府(Kragujevac)为例,通过一门学科(数学)应用横向干预来提高教育实践或教育有效性的项目建议。所有的利益相关者,他们的作用和干预的可能性,在地方自治单位的层面上,不管国家层面,即可能性,独立于国家层面的立法和监管框架中改进教育微系统。
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引用次数: 0
PRIMENA JAPANSKE STUDIJE ČASA U PRIPREMI BUDUĆIH VASPITAČA ZA IZVOĐENjE USMERENIH AKTIVNOSTI U OBLASTI RAZVOJA MATEMATIČKIH POJMOVA
Pub Date : 2021-10-01 DOI: 10.46793/manm4.292m
Aleksandra Mihajlović, Nenad Vulović, Milan Milikić
The presented study aimed to investigate the attitudes of preservice kindergarten teachers about the effects of two models of Mathematics Teaching Practicum teaching practice (Lesson Study model and traditional model of teaching practice) on the development of their professional competences to teach mathematics concepts. The quasi-experimental design with two parallel groups was used. The sample of research consisted of 49 students which were divided into control (27) and experimental group (22). The experimental group worked according to the experimental program which included the application of the Lesson Study design of teaching practice, while the control group worked in the traditional way. The results indicate that, although the students of the experimental group expressed more positive attitudes towards the usefulness of the applied model of teaching practice for the development of their profession- al competences, there was no statistically significant difference in attitudes between the two groups. As the most useful segment of the experimental program, students singled out the possibility of carrying out directed activities in a simu- lated environment and, after the evaluation, carrying out the same activity in a real environment in the kindergarten. Although the findings of the study cannot be generalized due to the small sample size, we believe that the results of this research have significance for both researchers and educators involved in teacher education preparation programmes.
本研究旨在调查职前幼儿园教师对两种数学教学实践模式(课堂学习模式和传统教学实践模式)对其数学概念教学专业能力发展的态度。采用两组平行准实验设计。研究样本为49名学生,分为对照组(27名)和实验组(22名)。实验组按照实验方案进行教学,其中包括应用教学实践中的课程研究设计,而对照组则按照传统方法进行教学。结果表明,虽然实验组学生对教学实践应用模式对其专业能力发展的有用性表现出更积极的态度,但两组之间的态度差异无统计学意义。作为实验计划中最有用的部分,学生们挑选出在模拟环境中进行定向活动的可能性,并在评估后在幼儿园的真实环境中进行相同的活动。虽然由于样本量小,研究结果不能一概而论,但我们认为,本研究的结果对参与教师教育准备计划的研究人员和教育工作者都具有重要意义。
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引用次数: 0
INTEGRATING MATHEMATICS CONTENT INTO PRIMARY ENGLISH CURRICULUM THROUGH CONTENT-BASED INSTRUCTION 通过内容教学将数学内容融入小学英语课程
Pub Date : 2021-10-01 DOI: 10.46793/manm4.191s
Vera Savić
Success in learning a foreign language is seen as the ability to use a foreign language in a variety of life contexts. Integration of mathematics content into a grade-appropriate English curriculum has the potential to enlarge the possibilities for young learners to experience more authentic and meaningful communication and more varied life-like interaction in a number of content-based activities. The aim of the paper was to study mathematics content in international coursebooks used for teaching English as a foreign language (EFL) in grades 1–4 in Serbian primary schools and to explore the means for integrating mathematics content into English classes. The study was based on a content analysis of seven EFL coursebook sets and focused on mathematics content analysis in relation to six study questions. The results revealed four distinct key content integration categories and showed that some of the coursebooks surveyed in the study contain mathematics content that is well integrated into language curriculum and supports deeper learning of both mathematics and language through cross-curricular links. However, the results also indicated that mathematics content in the coursebooks surveyed is mainly not grade appropriate or cognitively challenging enough, which requires EFL teachers to provide more materials for expanding the cross-curricular links. Pedagogical implications of the study refer to EFL teachers’ professional development needs for enhancing their own skills to implement content-based instruction by introducing creative and motivating content-based and grade appropriate materials and tasks into their classrooms and thus engage the flexible minds of young learners in a holistic learning experience.
成功地学习一门外语被视为在各种生活环境中使用外语的能力。将数学内容整合到适合年级的英语课程中,有可能扩大年轻学习者在一些基于内容的活动中体验更真实、更有意义的交流和更丰富的生活化互动的可能性。本文的目的是研究塞尔维亚小学1-4年级用于英语作为外语(EFL)教学的国际教材中的数学内容,并探索将数学内容融入英语课堂的方法。该研究基于对七套英语教材的内容分析,重点分析了与六个学习问题相关的数学内容。结果揭示了四种不同的关键内容整合类别,并表明研究中调查的一些教科书包含数学内容,这些内容很好地融入了语言课程,并通过跨课程链接支持数学和语言的更深层次学习。然而,调查结果也表明,被调查教材中的数学内容主要是不适合年级或认知挑战性不够,这需要英语教师提供更多的材料来扩大跨课程的联系。本研究的教学意义是指英语教师的专业发展需要,即通过在课堂中引入创造性和激励性的基于内容的、等级适当的材料和任务,提高他们自己实施基于内容的教学的技能,从而使年轻学习者的灵活思维参与到整体学习体验中。
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引用次数: 0
INTEGRISANE NASTAVNE AKTIVNOSTI U PRVOM RAZREDU DEVETOGODIŠNJE OSNOVNE ŠKOLE
Pub Date : 2021-10-01 DOI: 10.46793/manm4.183m
Arzija Mahmutović
Integrated teaching activities enable the connection of the contents of different subjects. This approach is characterized by the examination of every problem, subject or research topic from a multitude of perspectives, thus gathering a number of information from different disciplines. It is in line with real life situations in which a problem is seen as a biological and historical cir- cumstance that is made of mathematical and at the same time artistic, linguistic and other characteristics. Ultimately, the assessment is carried out by the ending result, essay or a problem solution and application of knowledge, thus changing the teacher student relationship by giving the student more time for interconnec- tion and comprehension of terms and phenomena that describe our reality. This paper contains results of an experimental study that was carried out on a sample of hundred students. The resulting data point to a conclusion that the application of integrated teaching activities gives better results with respect to the traditional model when it comes to the formation of mathematical terms. Moreover, it must be noted that a greater expression of psychological functions was achieved by the application of different didactical and methodological meth- ods and forms.
综合教学活动使不同学科的内容得以衔接。这种方法的特点是从多个角度检查每个问题、主题或研究主题,从而收集来自不同学科的大量信息。它与现实生活情境相一致,在现实生活情境中,一个问题被视为由数学、艺术、语言和其他特征组成的生物和历史环境。最终,评估是通过最终结果,文章或问题的解决和知识的应用来进行的,从而改变了师生关系,给学生更多的时间来相互联系和理解描述我们现实的术语和现象。这篇论文包含了一项实验研究的结果,该研究是在100名学生的样本中进行的。结果表明,在数学术语的形成方面,综合教学活动的应用比传统模式有更好的效果。此外,必须指出的是,通过应用不同的教学方法和方法论方法和形式,可以更好地表达心理功能。
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引用次数: 0
MATEMATIKA U SVETU OKO NAS – INTEGRISANA NASTAVA
Pub Date : 2021-10-01 DOI: 10.46793/manm4.169cj
Olivera Cekić Jovanović
The theoretical part of this paper deals with some aspects and possibilities of linking the contents of the World Around Us and Mathematics. Special emphasis was put on the analysis of (in)compliance of the two subjects. In the context of the correlation-integration approach, possibilities for improving the quality of the teaching World Around Us in elementary schools are considered. The methodological part of the paper is dedicated to empirical research aimed at examining the attitudes of future teachers about the correlation-integration approach. Data were collected online, with an electronic questionnaire and a 5-point Likert-type scale, on a sample of 150 students of the Faculty of Education in Jagodina. The results obtained by applying simple statistical methods show that students have positive attitudes about the importance of applying the content of Mathematics in teaching of the World Around Us, and recognize possibilities for raising the quality of teaching using the correlation-integration approach, which suggests considering conditions for more frequent application of this teaching system.
本文的理论部分论述了将《我们周围的世界》的内容与数学联系起来的一些方面和可能性。特别强调了对这两个主题的合规性的分析。在相关整合方法的背景下,考虑了提高小学“我们周围的世界”教学质量的可能性。本文的方法论部分致力于实证研究,旨在考察未来教师对相关整合方法的态度。数据是通过电子问卷和李克特式5分量表在线收集的,样本来自贾戈迪纳教育学院的150名学生。应用简单统计方法获得的结果表明,学生对在《我们周围的世界》教学中应用数学内容的重要性持积极态度,并认识到使用相关积分方法提高教学质量的可能性,这建议考虑更频繁地应用该教学系统的条件。
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引用次数: 0
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Metodički aspekti nastave matematike IV
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