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Learning obstacles in solving story problems on probability for vocational high school students 职业高中学生解决概率故事问题的学习障碍
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.18348
Nenden Suciyati Sartika, Siti Mega Mustika, A. Sahrudin, Ika Meika, Ratu Mauladaniyati, Ika Yunitasari
This research aims to determine and obtain actual data on the types of epistemological learning obstacles in solving probability story problems. This study was motivated by the low learning outcomes of students in solving probability story problems. The research uses a qualitative descriptive method with data collection techniques, including written tests, interviews, and documentation. Based on the analysis of the written test, interviews, and documentation data, it was found that out of 20 students who took the learning obstacle test, 11 scored below 60. The percentage of students who scored below the minimum completion criteria was 55%. These obstacles include errors in understanding the problem concept, errors in selecting and using solution procedures, errors in writing answers, and errors in operational techniques. It indicates that half of the students who took the learning obstacle test on probability story problems still experience learning obstacles, particularly epistemological obstacles, in solving such issues. It is reinforced by analysis and in-depth interviews with three vocational students that these students still participate in epistemological obstacles ranging from conceptual, procedural, and technical operational obstacles.
本研究旨在确定解决概率故事问题时认识论学习障碍的类型,并获取相关实际数据。本研究的动机是学生在解决概率故事问题时学习效果不佳。研究采用定性描述法,数据收集技术包括笔试、访谈和文献资料。根据对笔试、访谈和文档数据的分析,发现在参加学习障碍测试的 20 名学生中,有 11 名学生的得分低于 60 分。低于最低完成标准的学生比例为 55%。这些障碍包括理解问题概念错误、选择和使用解题步骤错误、书写答案错误和操作技巧错误。这表明,在参加概率故事问题学习障碍测试的学生中,仍有一半学生在解决此类问题时遇到学习障碍,特别是认识论障碍。通过对三名职业学生的分析和深入访谈,进一步证实了这些学生仍然存在认识论障碍,包括概念障碍、程序障碍和技术操作障碍。
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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
Exploring decision-making prospective mathematics teacher in solving geometric proof problems 探索未来数学教师解决几何证明问题的决策方法
Pub Date : 2024-02-08 DOI: 10.29408/jel.v10i1.23177
T. Masfingatin, D. Apriandi, W. Murtafiah, Edy Suprapto, R. Lusiana
Facing the current digital era, correct and accurate decisions are needed to deal with the problems. This research aimed to explore the decision-making abilities of prospective mathematics teacher students in solving geometric proof problems. This research was a qualitative descriptive study with research subjects 3 out of 32 students of the 2nd semester Mathematics Education study program. The research instrument is the researcher himself, who is assisted with geometric proof problem tests and interview guidelines. Data analysis was including reduction, presentation, and conclusion. The validity of the research data was tested using methods triangulation. The research results show that subjects with a proof ability of K2 can build and clarify geometric concepts/principles and can assess the reasonableness of ideas even though the subject feels unsure about their choice. Subjects with a proof ability of K3 can build and clarify geometric concept/principle ideas but cannot assess the reasonableness of proof ideas. Subjects with a proof ability of K4 can build ideas of geometric concepts/principles, can clarify even though they are incomplete, and cannot assess the reasonableness of proof ideas. Students need to be equipped with decision-making skills in solving proof problems as preparation to become mathematics teachers in the future.
面对当前的数字化时代,需要正确、准确的决策来处理问题。本研究旨在探讨准数学师范生在解决几何证明问题时的决策能力。本研究为定性描述研究,研究对象为数学教育专业第二学期 32 名学生中的 3 人。研究工具为研究者本人,并辅以几何证明问题测试和访谈指南。数据分析包括还原、展示和结论。研究数据的有效性采用三角测量法进行检验。研究结果表明,证明能力为 K2 的受试者能够建立和澄清几何概念/原理,并能评估观点的合理性,即使受试者对自己的选择感到不确定。证明能力为 K3 的受试者能够建立和澄清几何概念/原理观点,但不能评估证明观点的合理性。证明能力为 K4 的受试者能建立几何概念/原理的想法,即使不完整也能澄清,但 不能评估证明想法的合理性。学生需要掌握解决证明问题的决策技能,为将来成为数学教师做好准备。
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引用次数: 0
Pre-service teacher’s mathematical disposition through problem-solving and problem-posing based ignatian pedagogy 通过基于问题解决和问题提出的伊格纳教学法培养职前教师的数学性格
Pub Date : 2023-08-30 DOI: 10.29408/jel.v9i2.15909
Yeni Fitriya, A. Mustadi, Ikhlasul Ardi Nugroho, A. Anugrahana
Mathematical disposition is an important aspect that pre-service teachers must master to determine the success of mathematics learning. The objectives of this study were to show the statistical description and verify the research hypothesis regarding the comparison between problem-solving and problem-posing integrated with ignatian pedagogy as a novelty toward Elementary School Teacher Education students. Using a quantitative approach involving 84 students consisting of 9 males and 75 females as participants, used a comparison test between two learning models. The results of the parametric prerequisite test showed the value of Sig. 0.05 for normality and Sig. 0.05 for homogeneity. However, data analysis can not be continued parametrically but was tested using Mann-Whitney U (non-parametric). The hypotheses test results concluded that H0 was accepted or there was no significant difference from the state of the students' mathematical disposition either using problem-solving or problem posing based on ignation pedagogy. It was evidenced by the probability value, which showed 0.221, which was 0.05. The implications of this study directly recommend using appropriate learning models to improve the mathematical dispositions of pre-service teachers.
数学性格是职前教师必须掌握的决定数学学习成功与否的一个重要方面。本研究的目的在于显示问题解决与问题提出结合依格纳教学法对小学教师教育学生的比较之统计描述,并验证研究假设。采用定量方法,对84名学生(男9名,女75名)进行了两种学习模式的比较检验。参数前提检验的结果为正态性Sig. 0.05,均匀性Sig. 0.05。然而,数据分析不能继续参数化,而是使用Mann-Whitney U(非参数)进行检验。假设检验的结果表明,采用问题解决教学法和提出问题教学法的学生的数学倾向状态与H0被接受或无显著差异。概率值为0.221,即0.05。本研究的启示直接建议使用适当的学习模式来改善职前教师的数学倾向。
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引用次数: 0
Students’ errors in solving climate change context mathematical modeling problems 学生在解决气候变化背景数学建模问题中的错误
Pub Date : 2023-07-31 DOI: 10.29408/jel.v9i2.11422
Mursyidah J Parandrengi, C. Hiltrimartin
This research is a descriptive study that aims to describe the errors of students of the Faculty of Education and Teacher Training (FKIP), Sriwijaya University, in solving Climate Change context mathematical modeling problems, to minimize errors made in solving mathematical modeling problems, especially in the context of climate change in the future. No one has researched student errors in solving mathematical modeling problems in the Climate Change context using the Newman error procedure. Data collection techniques used in this study included tests and semi-structured interviews. The data analysis technique used for test data is by analyzing errors using the Newman procedure. The results of this study with 52 participants were types of errors by FKIP Sriwijaya University in solving Climate Change context mathematical modeling problems as follows for question 1 and question 2, and respectively there were 23.1% and 15.4% errors in understanding the problem, 46.2% and 96.2% transformation errors, 32.7% and 96.2% writing. The causes of errors are errors in reading, errors in determining the problem and existing information, errors in making assumptions, errors in identifying variables, and errors in making mathematical models.
本研究是一项描述性研究,旨在描述斯里维加亚大学教育与教师培训学院(FKIP)学生在解决气候变化背景下的数学建模问题时的错误,以尽量减少在解决数学建模问题时的错误,特别是在未来气候变化的背景下。没有人研究过学生在使用纽曼误差程序解决气候变化背景下的数学建模问题时的误差。本研究使用的数据收集技术包括测试和半结构化访谈。用于测试数据的数据分析技术是通过使用纽曼程序分析误差。本研究52名被试的结果是,FKIP斯里维贾亚大学在解决气候变化上下文数学建模问题时,问题1和问题2的错误类型如下:问题理解错误分别为23.1%和15.4%,转换错误分别为46.2%和96.2%,书写错误分别为32.7%和96.2%。产生错误的原因有阅读错误、确定问题和现有信息的错误、假设错误、识别变量的错误以及建立数学模型的错误。
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引用次数: 0
Features of teaching supplements designed to help primary teachers reduce student misconceptions in mathematics 旨在帮助小学教师减少学生数学误解的教学补编的特点
Pub Date : 2023-07-31 DOI: 10.29408/jel.v9i2.12274
E. B. Rahaju, D. Iriyani, A. W. Kohar
The findings of teacher misconceptions of mathematics at various levels indicate a wide variation of mathematics taught to students. This research aims to produce valid, practical, and effective teaching supplementary materials for integers, fractions, two dimensional and three-dimensional shapes that can overcome misconceptions. This two-year development research applied Plomp's development phases: preliminary investigation, design, realization, test phase, evaluation, and revision. The data were analyzed from teacher misconceptions about mathematics from the first year of the study, the development of teaching material supplements, the results of observations on the implementation of teaching materials, the teacher's response questionnaire to the implementation of the teaching materials, and test results. The research subjects were primary school teachers in Sidoarjo who experienced mathematical misconceptions. The results showed that the teaching material supplements developed met valid, practical, and effective criteria based on expert validation, teacher responses, and teacher work results on the assessment sheets. The features of the supplements were developed based on cognitive conflict and the resolution of conflicting perspectives and the teachers' existing ideas and extend them, through, for example, the analogy to a new domain, where those are presented in either the materials or the assessments.
教师对不同层次的数学误解的调查结果表明,教授给学生的数学有很大的差异。本研究旨在制作有效、实用、有效的整数、分数、二维和三维形状的教学辅助材料,以克服误解。这项为期两年的开发研究应用了普洛姆普的开发阶段:初步调查、设计、实现、测试阶段、评估和修订。数据从研究第一年教师对数学的误解、教材增编的编制、教材实施的观察结果、教师对教材实施的回答问卷、测试结果等方面进行分析。研究对象是Sidoarjo的小学教师,他们经历过数学误解。结果表明,根据专家的验证、教师的反应和教师在评估表上的工作结果,开发的教材补充满足有效、实用和有效的标准。补充的特点是基于认知冲突和解决冲突的观点和教师现有的想法,并扩展它们,例如,通过类比到一个新的领域,这些领域要么在材料中,要么在评估中呈现。
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引用次数: 0
Students' mathematical argumentation ability when proving mathematical statements based on self-efficacy 基于自我效能感的学生数学论证能力
Pub Date : 2023-07-31 DOI: 10.29408/jel.v9i2.15151
Surya Kurniawan, R. Rosjanuardi, S. Suhendra
Argumentation as an aspect of problem-solving has been studied in mathematics education. However, mathematical proof still needs to be resolved further. This study investigates students' mathematical argumentation skills when proving mathematical statements based on their self-efficacy. The research subjects were 43 mathematics education students at a university in Aceh Province who had taken a number theory course. The study used a qualitative approach with a case study design: students’ mathematical proving self-efficacy. Data was obtained using self-efficacy questionnaires and mathematical proof test instruments that experts have validated, while the data triangulation used was an in-depth interview. The results of this study reveal that students' mathematical argumentation skills in proving mathematical statements have differences based on their self-efficacy. The mathematical argumentation ability of students with high self-efficacy involves all aspects of argumentation well so that the construction of the proof is scientifically correct. Meanwhile, the argumentation ability of students with moderate or low self-efficacy still does not involve essential aspects of argumentation. So, the proof results are not scientifically correct because they have not arrived at the proper conclusion.
论证作为解决问题的一个方面在数学教育中得到了研究。然而,数学证明仍然需要进一步解决。本研究以自我效能感为基础,考察学生在数学命题证明时的数学论证能力。研究对象是在亚齐省一所大学学习数论课程的43名数学教育学生。本研究采用定性方法和案例研究设计:学生的数学证明自我效能。数据是通过自我效能问卷和专家验证的数学证明测试工具获得的,而数据三角测量使用的是深度访谈。本研究结果显示,学生的数学论证能力在证明数学命题方面存在自我效能感的差异。高自我效能感学生的数学论证能力能很好地涉及论证的各个方面,证明的构建是科学正确的。同时,自我效能感中低的学生的论证能力仍然没有涉及到论证的本质方面。因此,证明结果在科学上是不正确的,因为它们没有得出正确的结论。
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引用次数: 0
The kite project to improve junior high school students’ numeracy 提高初中生算术能力的风筝项目
Pub Date : 2023-07-31 DOI: 10.29408/jel.v9i2.7168
Nabila Putri Isamer, R. Putri, Z. Zulkardi
This research occurred to improve students' numeracy skills. To help students acquire these skills, develop learning projects through a STEAM approach using kite-making and collaborative learning projects. Design collaborative learning projects using a STEAM approach to assist students in acquiring these skills. This study's primary purpose is to create kites to aid junior high school students in addressing problems concerning PLSV and the kite area. This study applies a design research type of validation study. The data collection technique used is using images, products
这项研究是为了提高学生的计算能力。为了帮助学生掌握这些技能,通过制作风筝和合作学习项目的STEAM方法开发学习项目。使用STEAM方法设计协作学习项目,帮助学生获得这些技能。本研究的主要目的是创造风筝来帮助初中生解决关于PLSV和风筝领域的问题。本研究采用设计研究型的验证研究。使用的数据收集技术是使用图像、产品
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引用次数: 0
Stimulating mathematical communication with SPECOMATSO technology development based on digital literacy 基于数字素养的SPECOMATSO技术开发促进数学交流
Pub Date : 2023-07-31 DOI: 10.29408/jel.v9i2.15869
Andriyani Andriyani, M. Fitrianawati, I. Khalil, M. Barida, Rully Charitas Indra Prahmana
Mathematical communication is crucial in inclusive mathematics teaching and learning to convey mathematical symbols. However, teaching mathematical symbols to deaf students in inclusive classrooms has been a persistent challenge due to the lack of specialized sign language for mathematical expressions. Media, such as SPECOMATSO technology, can serve as a bridge to address this issue. This research focused on developing valid and practical SPECOMATSO technology to strengthen students’ literacy and facilitate the delivery of mathematical symbols, which previously posed difficulties for teachers in inclusive settings. The research combined the Alessi Trollip and V-waterfall models, encompassing seven development stages: analysis, design, implementation, unit testing, integration testing, system testing, and acceptance testing. The research instruments included observation and interview guidelines, a product validation questionnaire, and a student response questionnaire. This study produces SPECOMATSO technology that is valid and practical for learning plane geometry and angles in mathematics. Although this development still needs improvement in fixative abilities, such as storage and editing functions, it is expected to strengthen digital literacy and stimulate mathematical communication among deaf students who face challenges related to their limited auditory capabilities.
数学交流是全纳数学教学和学习数学符号传递的关键。然而,由于缺乏专门的数学表达手语,在包容性教室中向聋哑学生教授数学符号一直是一项挑战。媒体,如SPECOMATSO技术,可以作为解决这一问题的桥梁。这项研究的重点是开发有效和实用的SPECOMATSO技术,以加强学生的读写能力,促进数学符号的传递,这在以前给教师在包容性环境中带来了困难。该研究结合了Alessi Trollip和v型瀑布模型,包括七个开发阶段:分析、设计、实现、单元测试、集成测试、系统测试和验收测试。研究工具包括观察和访谈指南、产品验证问卷和学生回答问卷。本研究产生的SPECOMATSO技术是有效的和实用的学习平面几何和角度的数学。虽然这一发展还需要提高固定能力,如存储和编辑功能,但它有望增强数字素养,并促进聋哑学生的数学交流,这些聋哑学生面临着与他们有限的听觉能力有关的挑战。
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引用次数: 0
Interrelation of learning model and peer interaction through motivation on achievement 学习模式与同伴互动透过成就动机的相互关系
Pub Date : 2023-07-31 DOI: 10.29408/jel.v9i2.15527
R. Satriawan, Lalu Muhammad Fauzi, Sri Supiyati, Muhammad Halqi, Malik Ibrahim
Mathematics is often seen as a complex subject by most students. This has caused their achievement and motivation to be low. This study aims to see whether there is a direct or indirect influence from the independent and intervening variables on the dependent variables. This research is quantitative. The population is grade VIII of one of state junior high school, and the sample is class 8-B which consists of 28 students. The instruments used in data collection were questionnaires and tests. Data were analyzed using path analysis with the help of the Amos 25.0 program. The research result is that the P-value is 0.170.05. There is a direct effect of the learning approach on motivation; the P-value is 0.0490.05. Peer interaction immediately affects achievement; the P-value is 0.0350.05. There is a direct effect of the learning models on achievement; the P-value is 0.0880.05. There is no direct effect of peer interaction on achievement; the P-value of 0.0230.05 has a direct impact on motivation on achievement, the P-value of 0.4440.05 motivation cannot mediate peer interaction on achievement, and a P-value of 0.0240.05 with the conclusion that there is an indirect effect between learning model on achievement through motivation.
数学通常被大多数学生视为一门复杂的学科。这导致他们的成就和动力都很低。本研究旨在观察自变量和干预变量对因变量是否有直接或间接的影响。这项研究是定量的。人口为某州立初中八年级,样本为8-B班,共28名学生。数据收集使用的工具是问卷调查和测试。在Amos 25.0程序的帮助下,使用路径分析对数据进行分析。研究结果为p值为0.170.05。学习方法对学习动机有直接影响;p值为0.0490.05。同伴互动会直接影响成就;p值为0.0350.05。学习模式对成绩有直接影响;p值为0.0880.05。同伴互动对成就没有直接影响;p值为0.0230.05,动机对成绩有直接影响;p值为0.4440.05,动机不能中介同伴交往对成绩的影响;p值为0.0240.05,表明学习模式通过动机对成绩有间接影响。
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引用次数: 0
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Jurnal Elemen
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