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Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review 通过现实数学教育和印尼现实主义数学教学法学习比率和比例:系统文献综述
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.24445
Irma Risdiyanti, Z. Zulkardi, R. Putri, Rully Charitas Indra Prahmana, D. S. Nusantara
Foundational mathematical concepts like ratios and proportions are indispensable for solving both everyday problems and those encountered in professional settings. However, many students need help to grasp and apply these concepts effectively, often due to ineffective teaching methods, variations in students' levels of comprehension, and shortcomings in existing learning models. Realistic Mathematics Education (RME) and Pendidikan Matematika Realistik Indonesia (PMRI) have emerged as promising solutions to address these challenges. This study aims to systematically review the literature on ratio and proportion learning design using RME and PMRI approaches. It focuses on three specific research inquiries: profiling the literature, analyzing employed learning designs, and identifying gaps and recommendations for further research in learning design development. Conducted through a Systematic Literature Review (SLR) approach, the research involved planning, implementing, and disseminating review results. One hundred forty-four documents were scrutinized, leading to the identification of 19 pertinent papers. This study provides a comprehensive analysis of the literature on learning design in the context of ratio, proportion, scale, and level, utilizing RME and PMRI approaches while highlighting research gaps and offering insights for future studies. Its findings hold significant implications for educators and researchers seeking to enhance mathematics education through RME and PMRI approaches.
比率和比例等基础数学概念对于解决日常问题和专业环境中遇到的问题都是不可或缺的。然而,许多学生需要帮助才能有效地掌握和应用这些概念,原因往往是教学方法不得力、学生的理解水平参差不齐以及现有学习模式存在缺陷。现实数学教育(RME)和印度尼西亚现实数学教育(PMRI)已成为应对这些挑战的有前途的解决方案。本研究旨在系统地回顾使用 RME 和 PMRI 方法进行比率和比例学习设计的文献。它侧重于三个具体的研究调查:概述文献、分析已采用的学习设计,以及确定学习设计发展方面的差距和进一步研究的建议。研究采用系统文献综述(SLR)方法,包括计划、实施和传播综述结果。共审查了 144 篇文献,最终确定了 19 篇相关论文。本研究利用 RME 和 PMRI 方法,对有关比率、比例、尺度和水平的学习设计文献进行了全面分析,同时强调了研究差距,并为今后的研究提供了启示。研究结果对教育工作者和研究人员通过 RME 和 PMRI 方法提高数学教育具有重要意义。
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引用次数: 0
Epistemological learning obstacles on fractions in elementary school 小学分数认识论学习障碍
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.18306
Een Unaenah, Didi Suryadi, T. Turmudi
Fractions are one of the most essential concepts in mathematics learning. In elementary school, a student's understanding of fractions does not fully involve the meaning of various representations, so it could cause learning obstacles. The purpose of this study was to identify and analyze students' learning obstacles on the topic of fractions in grade 5 of elementary school. This study uses a qualitative method. The participants of this study were 21 elementary school students with different characteristics. Data was collected using test techniques, interviews, observation, and document study. Data were analyzed qualitatively to identify learning obstacles experienced by students. The research results are an overview of learning obstacles with the type of epistemological obstacle in fractions, including errors in operating fractions, needing to understand the purpose of the questions, and not understanding the problem with a different context. The research results obtained can be used to develop a hypothetical learning trajectory.
分数是数学学习中最基本的概念之一。在小学阶段,学生对分数的理解并不完全涉及各种表象的意义,因此可能会造成学习障碍。本研究的目的是找出并分析小学五年级学生在分数这一主题上的学习障碍。本研究采用定性方法。本研究的参与者是 21 名具有不同特点的小学生。通过测试技术、访谈、观察和文献研究收集数据。通过对数据进行定性分析,找出学生在学习中遇到的障碍。研究结果概述了分数认识论障碍类型的学习障碍,包括分数操作错误、需要理解问题的目的、不理解不同情境下的问题。所获得的研究成果可用于制定假设的学习轨迹。
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引用次数: 0
Scoring rubric design to measure the ability to prove plane geometry problems not accompanied by image visualization 设计评分标准,衡量证明无图像可视化的平面几何问题的能力
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.22550
I. P. W. Ariawan, I. M. Ardana, D. G. H. Divayana, I. M. Sugiarta
Proof of the type of problem not accompanied by image visualization will require a longer flow and process than proof of the kind of problem accompanied by image visualization. The ability of students to prove problems, especially problems not accompanied by image visualization, must be adequately expressed and objectively. For that, we need an instrument that can reveal the ability to prove the case of these problems. This research has successfully designed a scoring rubric that can be explicitly used to measure students' proving abilities on problems not accompanied by image visualization. Aspects developed in the scoring rubric include making image visualizations according to the information in the questions. These include sub-aspects of image accuracy and completeness of labels, initial steps of proving, preparation of conjectures, flow of proving, and support for valid arguments for statements made. Based on the validation from the experts, the scoring rubric developed was declared valid and ready to be used to measure the student's proving ability on plane geometry, proving problems not accompanied by image visualization.
没有图像直观的问题的证明比有图像直观的问题的证明需要更长的流程和过程。学生证明问题的能力,尤其是没有图像可视化的问题的证明能力,必须得到充分和客观的表达。为此,我们需要一种能够揭示这些问题证明能力的工具。本研究成功地设计了一个评分标准,可以明确地用于测量学生对无图像可视化问题的证明能力。评分标准中开发的方面包括根据问题中的信息制作图像直观图。其中包括图像的准确性和标签的完整性、证明的初始步骤、猜想的准备、证明的流程以及对所做陈述的有效论据的支持等子方面。在专家论证的基础上,宣布所开发的评分标准有效,可用于测量学生在平面几何、不伴有图像可视化的证明问题上的证明能力。
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引用次数: 0
Scoring rubric design to measure the ability to prove plane geometry problems not accompanied by image visualization 设计评分标准,衡量证明无图像可视化的平面几何问题的能力
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.22550
I. P. W. Ariawan, I. M. Ardana, D. G. H. Divayana, I. M. Sugiarta
Proof of the type of problem not accompanied by image visualization will require a longer flow and process than proof of the kind of problem accompanied by image visualization. The ability of students to prove problems, especially problems not accompanied by image visualization, must be adequately expressed and objectively. For that, we need an instrument that can reveal the ability to prove the case of these problems. This research has successfully designed a scoring rubric that can be explicitly used to measure students' proving abilities on problems not accompanied by image visualization. Aspects developed in the scoring rubric include making image visualizations according to the information in the questions. These include sub-aspects of image accuracy and completeness of labels, initial steps of proving, preparation of conjectures, flow of proving, and support for valid arguments for statements made. Based on the validation from the experts, the scoring rubric developed was declared valid and ready to be used to measure the student's proving ability on plane geometry, proving problems not accompanied by image visualization.
没有图像直观的问题的证明比有图像直观的问题的证明需要更长的流程和过程。学生证明问题的能力,尤其是没有图像可视化的问题的证明能力,必须得到充分和客观的表达。为此,我们需要一种能够揭示这些问题证明能力的工具。本研究成功地设计了一个评分标准,可以明确地用于测量学生对无图像可视化问题的证明能力。评分标准中开发的方面包括根据问题中的信息制作图像直观图。其中包括图像的准确性和标签的完整性、证明的初始步骤、猜想的准备、证明的流程以及对所做陈述的有效论据的支持等子方面。在专家论证的基础上,宣布所开发的评分标准有效,可用于测量学生在平面几何、不伴有图像可视化的证明问题上的证明能力。
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引用次数: 0
Understanding multiplication concept: Exploring PMRI-enhanced thematic learning using traditional games for primary teachers 理解乘法概念:探索小学教师利用传统游戏进行PMRI强化主题学习的方法
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.19838
Z. Zakaria, Andi Harpeni Dewantara
Involving concrete situations and utilizing contexts that are closely related to students' daily lives is highly promising in creating enjoyable and meaningful mathematics learning experiences. One approach that incorporates these ideas is Pendidikan Matematika Realistik Indonesia (PMRI), which is oriented towards the mathematization of everyday experiences. This research aims to investigate how the traditional game 'maggalaceng' could support students’ understanding of multiplication in thematic learning using the PMRI approach. The method employed in this study was design research in the form of workshops involving eight teachers at a public primary school in Bone, South Sulawesi. Data were collected through classroom observations, interviews, and documentation. The results show that the teachers responded positively to integrating PMRI in thematic learning, making learning more enjoyable and meaningful. Specifically, in mathematics, the designed learning trajectory fully assists teachers in exploring alternative perspectives for teaching the concept of multiplication, progressing from the informal to the formal level as a form of repeated addition.
涉及具体情境并利用与学生日常生活密切相关的情境,对于创造愉快而有意义的数学学习体验大有可为。印尼现实主义数学教学法(Pendidikan Matematika Realistik Indonesia,简称 PMRI)就是融合了这些理念的一种教学方法,它以日常生活经验的数学化为导向。本研究旨在探讨传统游戏 "maggalaceng "如何在使用 PMRI 方法的主题学习中帮助学生理解乘法。本研究采用的方法是设计研究法,在南苏拉威西省 Bone 市的一所公立小学中,八名教师参加了工作坊。通过课堂观察、访谈和文献收集数据。研究结果表明,教师们对将 PMRI 纳入主题学习给予了积极回应,使学习变得更愉快、更有意义。具体而言,在数学教学中,设计的学习轨迹能充分协助教师从其他角度探索乘法概念的教学方法,并作为一种重复加法的形式,从非正式层面发展到正式层面。
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引用次数: 0
Computational thinking on concept pattern number: A study learning style Kolb 概念模式数的计算思维:科尔布学习风格研究
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.23056
R. Purwasih, T. Turmudi, J. Dahlan, Naufal Ishartono
This research aimed to determine how the number pattern concept's computational thinking characteristic picture was reviewed from the Kolb model's learning style. The research method used in this study is qualitative descriptive. The research was conducted at one of the state's small schools in Bandung. The research subjects consisted of 29 students in the ninth grade. One of the 29 study issues is selected with assimilator learning styles. The data-gathering techniques used are questionnaire tests, test instruments, and interviews. Angket is used to group subjects into four groups of learning style types. The test instrument was used to describe the computational thinking characteristics of high school students on the concept of number patterns, and the interview was used to strengthen the test summary results of the subject. The results of this study show that the characteristics of computational thinking that each type of learning style dominates are different. Computational thinking students with an assimilator learning style in solving mathematical problems of number patterns can solve issues by involving decomposition, pattern identification, abstraction and generalization, and algorithms. They can generalize patterns using accurate, thorough, complete, and systematic problem-solving strategies.
本研究旨在确定如何从柯布模型的学习风格中审视数字模式概念的计算思维特征图。本研究采用的研究方法是定性描述法。研究在万隆州的一所小型学校进行。研究对象包括 29 名九年级学生。在 29 个研究对象中,选择了一个具有同化学习风格的学生作为研究对象。使用的数据收集技术包括问卷测试、测试工具和访谈。Angket 用于将研究对象分为四组学习风格类型。测试工具用于描述高中生在数字模式概念上的计算思维特征,访谈用于强化受试者的测试总结结果。研究结果表明,每种学习风格类型所主导的计算思维特点是不同的。在解决数模数学问题时,具有同化者学习风格的计算思维学生可以通过分解、模式识别、抽象和概括以及算法来解决问题。他们能运用准确、全面、完整和系统的解题策略来概括模式。
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引用次数: 0
Development of learning video rotation using Palembang tanjak context to determine students’ mathematical reasoning 利用 "巴伦邦探查 "情境开发学习视频轮播,以确定学生的数学推理能力
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.23988
Uswatun Hasanah, R. Putri, Z. Zulkardi
This research is essential as a starting point in using learning videos on rotation material assisted by the Palembang tanjak context so that students' mathematical reasoning abilities are good. This research aims to produce a learning video on rotation material using the Palembang tanjak context that is valid and practical, as well as to determine the potential effect of using videos on rotation material using the Palembang tanjak context on students' mathematical reasoning ability. PMRI and collaborative learning approaches were also used in this research. This type of research is a design research type of development studies. The subjects of this study involved 28 students of class IX.A. Data collection techniques were observation, tests, and interviews. The data analysis technique is descriptive. This research resulted in a learning video on rotation material using the context of Palembang tanjak, which was developed to be valid and practical and potentially affected students' mathematical reasoning ability with an average of 67.625. Learning videos on rotation material can be used to train students' mathematical reasoning skills within the Palembang Tanjak context.
本研究是使用巴伦邦 "丹竹 "情境辅助旋转材料学习视频,从而提高学生数学推理能力的重要起点。本研究的目的是制作一个有效、实用的巴伦邦丹札情境下的旋转材料学习视频,并确定使用巴伦邦丹札情境下的旋转材料视频对学生数学推理能力的潜在影响。本研究还采用了 PMRI 和协作学习方法。这类研究属于设计研究类型的发展研究。数据收集技术包括观察、测试和访谈。数据分析技术是描述性的。这项研究的结果是,以巴伦邦探查为背景,开发了一种关于轮换材料的学习视频,该视频具有有效性和实用性,并对学生的数学推理能力产生了潜在影响,其平均值为 67.625。轮换材料学习视频可用于在巴伦邦丹札背景下训练学生的数学推理能力。
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引用次数: 0
Exploration of Unggan weaving in Minang culture: An ethnomathematics study 探索米南文化中的翁根织:民族数学研究
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.23950
Kusno Kusno, Gelvia Yolanda, Sri Supiyati
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引用次数: 0
Crafting math minds: A bibliometric odyssey into innovative didactical designs for learning (2006-2023) 打造数学思维:创新教学设计的文献计量学奥德赛(2006-2023 年)
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.24935
Dadan Dasari, Ilham Muhammad, Dadang Juandi
The importance of Didactical Design in mathematics education must be addressed. Didactical Design is essential in mathematics education because it can optimize learning. Efforts to design learning experiences that combine didactic and design principles can lead students to acquire knowledge correctly and epistemically. This research aims to capture the landscape of previous research relevant to Didactical Design in Mathematics Education. This study constitutes a literature review research, wherein 56 publications were gathered from the Scopus database. These publications were subsequently subjected to bibliometric analysis with the assistance of the VOSviewer application. The analysis results show a rapid increase in publications since 2019, primarily focusing on didactic design, barriers to student learning, mathematics education, and retrospective analysis. The study also identified the emergence of new themes in Didactical Design research, such as the study of specific mathematical competencies and the integration of technology in design, e-learning, augmented reality, and STEM. Several implications are presented as helpful information for scientists and stakeholders.
必须正视教学设计在数学教育中的重要性。教学设计在数学教育中至关重要,因为它可以优化学习。努力设计将教学原则和设计原则相结合的学习体验,可以引导学生正确地、从认识论的角度获取知识。本研究旨在了解以往与数学教育中的教学设计相关的研究情况。本研究是一项文献综述研究,从 Scopus 数据库中收集了 56 篇出版物。随后,在 VOSviewer 应用程序的协助下,对这些出版物进行了文献计量分析。分析结果表明,自 2019 年以来,主要集中在教学设计、学生学习障碍、数学教育和回顾性分析方面的出版物迅速增加。研究还发现了教学设计研究中出现的新主题,如对特定数学能力的研究以及在设计、电子学习、增强现实和 STEM 中整合技术。研究还提出了一些对科学家和利益相关者有益的启示。
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引用次数: 0
Implementation of creative problem-solving model with RME approach on mathematics problem-solving ability 用 RME 方法实施创造性问题解决模式对数学问题解决能力的影响
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.19788
Joko Rahmadi, Yoppy Wahyu, Viscal Oktari
This research is motivated by the low problem-solving ability of students caused by focusing on memorizing formulas when answering questions. Innovation is needed to overcome this, one of which is through the innovative implementation of the creative problem-solving model. This study aims to see the effect of students' problem-solving skills through implementing the creative problem-solving model with the RME approach. This study uses a type of quasi-experiment with a non-equivalent control group design in class 6 on the material of building space. The population was 73 students, with a sample of 40 students consisting of 20 experimental classes and 20 control classes with simple random sampling techniques. The ice instrument used is a description test with as many as four questions. The t-test results obtained are Sig. 0.001 with a t-count of 2.387. Based on the test results that have been carried out, there is a positive influence on the implementation of the creative problem-solving model with the RME approach on students' problem-solving skills, and there is an increase in students' problem-solving skills based on the pretest-posttest value of 31.6.
这项研究的动机是,学生在答题时只注重记忆公式,导致解决问题的能力低下。要克服这一问题,需要创新,其中之一就是创新性地实施创造性解题模式。本研究旨在了解通过采用 RME 方法实施创造性问题解决模式对学生解决问题能力的影响。本研究在六年级关于建筑空间材料的班级中采用了非等效对照组设计的准实验类型。研究对象为 73 名学生,样本为 40 名学生,包括 20 个实验班和 20 个对照班,采用简单随机抽样技术。使用的冰测试工具是多达四个问题的描述性测试。t 检验结果为 Sig.0.001,t 值为 2.387。根据已进行的检验结果,采用 RME 方法实施创造性问题解决模式对学生的问题解决能力有积极影响,根据前测-后测值 31.6,学生的问题解决能力有所提高。
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引用次数: 0
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Jurnal Elemen
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