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Unlocking mathematical marvels: Exploring number patterns in the Rangku Alu traditional game 揭开数学的奥秘探索兰库阿鲁传统游戏中的数字模式
Pub Date : 2024-06-02 DOI: 10.29408/jel.v10i2.25621
Suci Pangestuti, Rully Charitas Indra Prahmana, Frankie A. Fran
Ethnomathematics, an interdisciplinary field at the intersection of cultural studies and mathematics, examines the intricate mathematical practices found within diverse cultural settings. This research focuses on Rangku Alu, a traditional game from Indonesia, to explore its embedded mathematical elements. Using a qualitative ethnographic methodology, the study uncovers the mathematical concepts within the game's cultural context. It traces the origins and cultural importance of Rangku Alu in Manggarai, East Nusa Tenggara, through combining participant observation, interviews, and literature review. The game, which prominently features bamboo, is a staple activity in harvest celebrations and serves as a way to express gratitude. During the game, players engage in synchronized movements that create rhythmic patterns and interactive sequences. The analysis reveals seven distinct numerical patterns, derived from the strikes of bamboo, jumping sequences, and player formations. These patterns include both odd and even sequences, as well as basic arithmetic operations. Rangku Alu not only entertains but also provides a unique setting for exploring numerical concepts. This study highlights the potential of integrating traditional practices like Rangku Alu into mathematics education to promote inclusivity and enhance mathematical understanding in multicultural environments.
民族数学是文化研究与数学交叉的一个跨学科领域,研究不同文化背景下错综复杂的数学实践。本研究以印度尼西亚的传统游戏 Rangku Alu 为重点,探索其蕴含的数学元素。研究采用定性人种学方法,揭示了游戏文化背景中的数学概念。研究结合参与观察、访谈和文献综述,追溯了 Rangku Alu 在东努沙登加拉省 Manggarai 的起源和文化重要性。该游戏以竹子为主要内容,是庆祝丰收的主要活动,也是表达感激之情的一种方式。在游戏过程中,玩家通过同步动作创造出有节奏的图案和互动序列。分析显示,竹子的敲击、跳跃序列和玩家队形衍生出七种不同的数字模式。这些模式包括奇数和偶数序列,以及基本的算术运算。朗库阿鲁不仅具有娱乐性,还为探索数字概念提供了独特的环境。本研究强调了将 Rangku Alu 等传统习俗融入数学教育的潜力,以促进多元文化环境中的包容性并增强对数学的理解。
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引用次数: 0
Correction to: Hubungan penguasaan perkalian dan pembagian dasar terhadap prestasi belajar matematika siswa kelas VIII SMP PMDS Putra Palopo 更正掌握基本乘除法对普特拉帕洛波中学八年级学生数学学习成绩的影响
Pub Date : 2024-06-02 DOI: 10.29408/jel.v10i2.25826
Nurlaily Rahmah, A. Asnidar
Correction to: Jurnal Elemen, Vol. 1 No. 1, January 2015, p. 57-69  https://doi.org/10.29408/jel.v1i1.81The original version of this article unfortunately contained a mistake. The previous email was not the corresponding author’s email, her email is rnur68845@gmail.com. The original article has been corrected.The original article can be found online at https://doi.org/10.29408/jel.v1i1.81
更正:Jurnal Elemen》,第 1 卷第 1 期,2015 年 1 月,第 57-69 页 https://doi.org/10.29408/jel.v1i1.81The 本文的原始版本不幸包含一个错误。之前的电子邮件不是通讯作者的电子邮件,她的电子邮件是 rnur68845@gmail.com。原文已更正。原文可在线查阅:https://doi.org/10.29408/jel.v1i1.81。
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引用次数: 0
Developing mathematics virtual reality based on understanding mathematical concepts 在理解数学概念的基础上开发数学虚拟现实技术
Pub Date : 2024-06-02 DOI: 10.29408/jel.v10i2.25487
Putri Mutiara Anisa, Saenih Saenih, Anisa Oktaviani, S. A. Pramuditya, Mohammad Dadan Sundawan
This research was motivated by students' difficulties understanding the basic concepts of abstract flat-side spatial shapes. So, learning media is needed to help students understand the material that is made interesting by utilising technology in the form of virtual reality. The research aims to determine the development of virtual reality media towards students' conceptual understanding, which has been tested validly and practically, so that it can be used as an active and exciting learning media. The method used in this research is a qualitative approach using the Research and Development method and the ADDIE model using the Millealab application. Participants were eighth-grade students at junior high schools. The outcomes of the research show that virtual reality is an innovative learning media that utilises technological developments in learning media and provides a quick, engaging, and fun understanding so that students can more easily understand mathematical concepts in flat-sided material. Virtual reality learning media has been extensively tested to be valid, practical, and suitable for use in learning. Suggestions for this research can provide an innovative development of virtual learning media, which still has many shortcomings, so that it is much better and produces like learning.
这项研究的动机是学生难以理解抽象平面空间图形的基本概念。因此,需要学习媒体来帮助学生理解教材,而虚拟现实技术的应用则使教材变得生动有趣。本研究旨在确定虚拟现实媒体在学生概念理解方面的发展情况,并对其进行有效和实际的测试,以便将其作为一种积极和令人兴奋的学习媒体。本研究采用的方法是定性方法,使用研究与开发方法和 ADDIE 模型,并使用 Millealab 应用程序。参与者为初中八年级学生。研究结果表明,虚拟现实是一种创新的学习媒体,它利用了学习媒体技术的发展,提供了一种快速、吸引人和有趣的理解方式,使学生更容易理解平面材料中的数学概念。虚拟现实学习媒体经过广泛测试,是有效、实用和适合用于学习的。本研究的建议可为仍有许多不足之处的虚拟学习媒体提供创新发展,使其更好地产生类似的学习效果。
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引用次数: 0
Mengeksplore aljabar awal di sekolah menengah: kombinasi analisis bibliometric dan meta analisis 初中早期代数探索:文献计量分析与元分析相结合
Pub Date : 2024-06-02 DOI: 10.29408/jel.v10i2.25539
Dilham Fardian, Didi Suryadi, Sufyani Prabawanto, Silfia Hayuningrat
The aims of this study is to analyze publications on early algebra in middle schools to contribute to the development of related literature. A total of 234 articles on early algebra published in various Scopus databases between 2013 and 2024 were retrieved and analyzed through a bibliometric analysis approach and 19 articles through a Comprehensive Meta Analysis (CMA). The results showed fluctuating trends in research related to early algebra in middle schools. The surge in publications using VOSviewer and RStudio from 2013 to 2024 did not align with a corresponding increase in average citations, contributing to a stagnation in the average citation per year. The noticeable upward trend in the volume of publications on early algebra since the beginning of 2013 indicates a dynamic and evolving research landscape in this field. This consistency suggests a widespread and sustained interest in early algebra research beyond the confines of a single country, further emphasizing its global relevance and significance. Integrating multimedia technology into early algebra instruction significantly enhances student learning outcomes. Moreover, access to technology and enhanced learning resources through technology integration can play a more crucial role in improving the effectiveness of early algebra learning in countries with lower income levels.
本研究旨在分析有关初中早期代数的出版物,以促进相关文献的发展。本研究通过文献计量分析方法,检索并分析了 2013 年至 2024 年间在各种 Scopus 数据库中发表的有关早期代数的 234 篇文章,并通过综合元分析(CMA)分析了 19 篇文章。结果显示,与初中早期代数相关的研究呈波动趋势。从 2013 年到 2024 年,使用 VOSviewer 和 RStudio 发表的论文数量激增,但平均引用次数却没有相应增加,导致年平均引用次数停滞不前。自 2013 年初以来,有关早期代数的论文数量呈明显上升趋势,这表明该领域的研究前景充满活力且不断发展。这种一致性表明,人们对早期代数研究的广泛而持续的兴趣已经超越了单一国家的范围,进一步强调了其全球相关性和重要性。将多媒体技术融入早期代数教学可显著提高学生的学习效果。此外,在收入水平较低的国家,通过技术整合获取技术和增强学习资源,在提高早期代数学习效果方面可以发挥更加关键的作用。
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引用次数: 0
Constructing mathematical bitterness scale related to teacher factor 构建与教师因素相关的数学苦闷量表
Pub Date : 2024-06-02 DOI: 10.29408/jel.v10i2.25508
K. Dirgantoro, R. Soesanto, Yanti Yanti
Mathematical bitterness is one of the critical factors influencing students’ mathematical performance, highlighting the need for further action to address its impact.  However, there has been no instrument thus far that can identify mathematical bitterness, particularly one caused by teacher treatment. This research, therefore, aims to construct an instrument to identify the presence of mathematical bitterness. This research involved 307 senior high school and undergraduate students, who were given and responded to a set of 30 questions. The data were then analyzed using confirmatory factor analysis (CFA) through IBM SPSS 20. Confirmatory factor analysis grouped the items into six dimensions (indicators) of mathematical bitterness. Each indicator shows a high Cronbach Alpha result, indicating strong validity in each group of indicators. Overall, the constructed instrument demonstrates strong validity and reliability. This instrument has been successfully constructed and statistically tested, thus making it readily available for use by other scholars interested in investigating mathematical bitterness on a broader scale.
数学苦闷是影响学生数学成绩的关键因素之一,因此需要采取进一步的行动来消除数学苦闷的影响。 然而,迄今为止,还没有一种工具能够识别数学苦闷,特别是由教师待遇引起的数学苦闷。因此,本研究旨在构建一种工具来识别数学苦闷的存在。这项研究涉及 307 名高中生和本科生,他们回答了 30 个问题。然后通过 IBM SPSS 20 使用确认性因子分析(CFA)对数据进行分析。确认性因子分析将项目归纳为数学苦闷的六个维度(指标)。每个指标都显示出较高的 Cronbach Alpha 结果,表明每组指标都具有较强的有效性。总体而言,所构建的工具具有很强的效度和信度。该工具已成功构建并经过统计检验,因此可供有兴趣在更大范围内研究数学苦闷的其他学者使用。
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引用次数: 0
The geometric concepts of the Istana Dalam Loka traditional house: An ethnomathematics study Istana Dalam Loka 传统房屋的几何概念:民族数学研究
Pub Date : 2024-06-01 DOI: 10.29408/jel.v10i2.25208
Maulidia Dwi Meyundasari, I. D. Hastuti, S. Syaharuddin, Saba Mehmood
This study explores the philosophical aspects of traditional architecture and ethnomathematics geometry in the Istana Dalam Loka traditional house, located in West Nusa Tenggara. Employing a qualitative approach with an ethnographic design, data were gathered through observations and interviews with key, primary, and additional informants. Findings indicate that mathematical concepts are reflected in every architectural element, such as rectangles in doors, terraces, stairs, shields (kantar), kandaga, the sultan's palanquin (tandu), pineapple decoration, and frames. The study also identifies square concepts in the sultan's child's palanquin, glass boxes, and windows. Circular concepts are found in badong, and the concept of an isosceles triangle is present in the roof, offering potential for creative geometry learning. This research has implications in enriching students' mathematical education by utilising geometric examples from local culture. Integrating ethnomathematics into elementary school curricula can broaden students' cultural perspectives, increase student engagement in learning, and enrich students' understanding of mathematics.
本研究探讨了位于西努沙登加拉的达兰洛卡(Istana Dalam Loka)传统房屋中的传统建筑哲学和民族数学几何。本研究采用人种学设计的定性方法,通过观察和采访主要信息提供者、主要信息提供者和其他信息提供者收集数据。研究结果表明,数学概念体现在每一个建筑元素中,如门、露台、楼梯、盾牌(kantar)、坎达加(kandaga)、苏丹的轿子(tandu)、菠萝装饰和框架中的矩形。研究还在苏丹的童轿、玻璃盒和窗户上发现了方形概念。圆形概念出现在巴东(badong)中,等腰三角形的概念出现在屋顶上,为创造性几何学习提供了潜力。这项研究的意义在于利用当地文化中的几何实例丰富学生的数学教育。将民族数学融入小学课程可以拓宽学生的文化视野,提高学生的学习参与度,丰富学生对数学的理解。
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引用次数: 0
Enhancing self-regulated learning and critical thinking in STEM through flipped classroom models 通过翻转课堂模式加强 STEM 中的自我调节学习和批判性思维
Pub Date : 2024-06-01 DOI: 10.29408/jel.v10i2.25322
Ali Akhmad Setiyawan, A. Agoestanto, Isnarto Isnarto
One of the causes of low proficiency among high school students in mathematical critical thinking is their lack of willingness to learn independently. This study investigated the mathematical critical thinking skills and self-regulated learning of high school students through the Flipped Classroom STEM approach. The research employed a sequential explanatory design, beginning with quasi-experimental pre-tests and post-tests for quantitative assessment of the learning process, followed by qualitative methods such as questionnaires, interviews, and observations for deeper analysis. Data analysis utilized quantitative techniques, including normality and homogeneity tests and hypothesis testing in SPSS, alongside qualitative methods for data reduction, data presentation, and conclusion. The findings revealed that flipped classroom learning significantly improved students' abilities in critical mathematical thinking, particularly highlighting the importance of self-regulated learning. There was a notable difference in post-test scores compared to those from traditional learning methods. Moreover, the study found that students with higher self-regulated learning skills were more effective in critical thinking, underscoring the effectiveness of the flipped classroom approach in fostering independent learning and enhancing essential thinking abilities in mathematics education.
高中生数学批判性思维能力低下的原因之一是他们缺乏自主学习的意愿。本研究通过翻转课堂 STEM 方法调查了高中生的数学批判性思维能力和自我调节学习。研究采用了序列解释设计,首先通过准实验前测和后测对学习过程进行定量评估,然后通过问卷、访谈和观察等定性方法进行深入分析。数据分析采用了定量技术,包括 SPSS 中的正态性和同质性检验以及假设检验,同时还采用了定性方法进行数据还原、数据展示和总结。研究结果显示,翻转课堂学习显著提高了学生的批判性数学思维能力,尤其突出了自我调节学习的重要性。与传统学习方法相比,学生的后测成绩有明显差异。此外,研究还发现,自我调节学习能力较强的学生在批判性思维方面更有效,这凸显了翻转课堂教学法在数学教育中培养学生自主学习和提高基本思维能力的有效性。
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引用次数: 0
A praxeological review of concept-sequence and series: Comparing Malaysia and Indonesia textbooks 概念-序列和系列的实践论回顾:比较马来西亚和印度尼西亚的教科书
Pub Date : 2024-06-01 DOI: 10.29408/jel.v10i2.24079
Rahmat Kusharyadi, S. Fatimah, Kusnandi Kusnandi
Malaysia, through its curriculum, has implemented mathematics textbooks as the main source. However, not all concepts can be offered to a country. This research aims to analyse the comparison between Indonesian and Malaysian textbooks from a praxeological perspective . The data used is only on the topic of sequences and series. This qualitative research adopts a hermeneutic phenomenological approach, serving as an alternative method. In the context of the Indonesian version of didactic design, this study represents research conducted during the prospective stage of the entire research series. The results of the research show that in the praxis block, there are similarities in the presentation of Indonesian and Malaysian textbooks in introducing the topic of sequences and series. The difference is that in Indonesian mathematics textbooks there are 2 themes, while in Malaysia there is only 1 theme. The design in Malaysian textbooks is more in-depth and comprehensive, and the learning trajectory is arranged more systematically so that Malaysian textbooks allow for no gaps between the types of T used. The use of Malaysian textbooks has the potential to build complete knowledge, so the potential for students to have difficulties will be smaller.
马来西亚通过其课程将数学教科书作为主要来源。然而,并非所有概念都能提供给一个国家。本研究旨在从实践论的角度分析印度尼西亚和马来西亚教科书之间的比较。所使用的数据仅涉及序列和数列主题。本定性研究采用诠释学现象学方法,作为一种替代方法。在印尼版教学设计的背景下,本研究是在整个研究系列的前瞻性阶段进行的研究。研究结果表明,在实践模块中,印尼和马来西亚的教科书在介绍序列和数列主题时有相似之处。不同之处在于,印尼的数学教科书有两个主题,而马来西亚的数学教科书只有一个主题。马来西亚教科书的设计更加深入和全面,学习轨迹的安排也更加系统,因此马来西亚教科书所使用的T类型之间没有空隙。使用马来西亚教科书有可能构建完整的知识,因此学生遇到困难的可能性较小。
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引用次数: 0
Didactical design to overcome learning obstacles in cuboid volume 克服长方体学习障碍的教学设计
Pub Date : 2024-06-01 DOI: 10.29408/jel.v10i2.25244
J. Jamilah, Priskila Priskila, Dwi Oktaviana
This study aims to produce an empirical didactic design designed to overcome didactic barriers experienced by students on beam volume material. Didactical design research is a design in this study that contains three stages of analysis, namely prospective analysis, metapedadidactic analysis, and retrospective analysis. 25 9th-grade junior high school students and one mathematics teacher were selected using purposive sampling techniques to become subjects. Observation, tests using diagnostic tests, and interviews are techniques in data collection. The collected data is analysed and interpreted qualitatively using interpretive and critical paradigms. The results of this study show that through three stages of analysis, an empirical didactic design was obtained that contains four didactic situations: action situations, formulation situations, validation situations, and institutionalisation situations. However, the limitations of presenting problems in institutionalisation situations have an impact on the occurrence of other learning barriers, namely epistemological concepts. Thus, this limitation becomes an improvement material in empirical didactic design.
本研究旨在设计一种经验性教学设计,以克服学生在学习梁体积材料时遇到的教学障碍。在本研究中,教学设计研究是一种包含三个分析阶段的设计,即前瞻性分析、元教学分析和回顾性分析。研究采用目的性抽样技术,选取了 25 名初中九年级学生和一名数学教师作为研究对象。数据收集采用了观察、诊断性测试和访谈等技术。收集到的数据采用解释性和批判性范式进行定性分析和解释。本研究的结果表明,通过三个阶段的分析,获得了一个实证教学设计,其中包含四个教学情境:行动情境、制定情境、验证情境和制度化情境。然而,在制度化情境中呈现问题的局限性会影响其他学习障碍(即认识论概念)的出现。因此,这一局限性成为实证教学设计的改进材料。
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引用次数: 0
Project-based learning through augmented reality-assisted math trails at Blenduk Church to promote mathematical literacy 通过布兰杜克教堂的增强现实辅助数学小径开展项目式学习,促进数学素养的提高
Pub Date : 2024-06-01 DOI: 10.29408/jel.v10i2.25333
Muhammad Andi Nugroho, Indriana Yulandari, Adi Nur Cahyono
Mathematical literacy ability is one of the indispensable abilities in the development of mathematics education today. Currently, the mathematical literacy ability of students in Indonesia is still low. In the field of education, the era of society 5.0 has a great impact, so education must be able to produce human resources who have good mathematical literacy and are able to apply technology well with their literacy abilities. This study aims to determine how the quality of a project-based learning model with math trails assisted by augmented reality in the context of Blenduk Church is able to promote students' mathematical literacy. The research method used is design research. The data were analysed using qualitative and quantitative data analysis techniques. Qualitative data analysis techniques were used to analyse the results of student response questionnaires after conducting project-based learning with augmented reality-assisted math trails at Blenduk Church. Meanwhile, quantitative analysis techniques are used to analyse students' mathematical literacy skills obtained from student test results before and after conducting project-based learning with augmented reality-assisted math trails at Blenduk Church. However, further research is needed on the development of augmented reality-assisted learning instruments and media in other contexts to promote students' literacy skills.
数学素养能力是当今数学教育发展中不可或缺的能力之一。目前,印尼学生的数学素养能力仍然较低。在教育领域,5.0 社会时代影响巨大,因此教育必须能够培养出具有良好数学素养并能很好地应用技术的人才。本研究旨在确定在布兰杜克教堂的背景下,由增强现实技术辅助的数学小径项目式学习模式的质量如何能够促进学生数学素养的提高。采用的研究方法是设计研究。采用定性和定量数据分析技术对数据进行分析。定性数据分析技术用于分析学生在布伦杜克教堂利用增强现实辅助数学小径进行项目式学习后的问卷调查结果。同时,定量分析技术用于分析在布伦杜克教堂开展项目式学习与增强现实辅助数学小径前后的学生测试结果所得出的学生数学素养技能。然而,还需要进一步研究在其他环境中开发增强现实辅助学习工具和媒体,以促进学生的读写能力。
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引用次数: 0
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