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Trivium curriculum in Ethno-RME approach: An impactful insight from ethnomathematics and realistic mathematics education 民族- rme方法中的三门课程:来自民族数学和现实数学教育的深刻见解
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.7262
R. C. I. Prahmana, Mónica Arnal-Palacián, Irma Risdiyanti, R. Ramadhani
In implementing Ethnomathematics-Realistic Mathematics Education (Ethno-RME), teaching mathematics correctly is needed through learning practices in teaching and learning activities. This pedagogical activity requires guidance in the form of a curriculum. So, the teacher can determine the ethnomathematics context as a starting point in teaching mathematics using Ethno-RME. Therefore, this paper focuses on constructing an Ethno-RME curriculum to guide teachers to apply Ethno-RME in their learning process. This research was collected data from a few relevant kinds of literature to build the Ethno-RME curriculum, such as literature about the D’Ambrosio trivium curriculum, the principles, and character of RME, and literature about the implementation of RME and Ethnomathematics in school. Then, the data were reviewed, criticized, and synthesized, which was done by integrating the ideas in the literature with the new ideas to form the new concept and formula for Ethno-RME curriculum. This study comprehensively explains the goal of Ethno-RME learning, Ethno-RME competencies, and the procedure of Ethno-RME learning. Its process consists of several steps: determining, exploring, processing, and finding mathematics in the ethnomathematics context. Furthermore, this procedure continues with conducting self-development models and critical reflection as an assessment.
实施民族数学-现实数学教育,需要在教学活动和学习实践中进行正确的数学教学。这种教学活动需要课程形式的指导。因此,教师可以确定民族数学语境作为运用民族rme进行数学教学的起点。因此,本文着重构建民族- rme课程,引导教师在学习过程中运用民族- rme。本研究收集了一些与民族-RME课程建设相关的文献资料,如关于D 'Ambrosio trivium课程的文献、关于RME的原则和特征的文献、关于RME和民族数学在学校实施的文献。然后,对资料进行回顾、批评和综合,将文献中的观点与新观点相结合,形成民族- rme课程的新概念和新公式。本研究全面解释了民族- rme学习的目标、民族- rme能力以及民族- rme学习的过程。它的过程包括几个步骤:在民族数学的背景下确定、探索、处理和发现数学。此外,这一程序继续进行自我发展模型和批判性反思作为评估。
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引用次数: 0
The development of numeracy problems using light rail transit context 轻轨交通环境下计算问题的发展
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6923
Yessi Permata Sari, Z. Zulkardi, R. Putri
The emergence of this research is due to the low numeracy skills of students in Indonesia. It is due to the soft critical thinking skills of students. One of the strategies that can be done is to develop PISA-type questions and activities. This study aims to produce PISA-type questions and activities using a valid and practical context using Light Rail Transit. This research is a design research type of development research which consists of a preliminary evaluation stage and a formative evaluation stage. This study involved students of eighth-grade junior high school students in Palembang City, totaling 34 students with various skills. The analysis of the results of this study was qualitatively based on data from the field received in the form of interviews, document reviews, observations, and tests to see student activities in solving questions and activities. The result of this research is the development of PISA-type questions and activities, namely four student activities and six evaluation questions using the Light Rail Transit context. In conclusion, PISA-type questions and activities in the context of Light Rail Transit can be used in classroom learning to improve students' numeracy skills.
这项研究的出现是由于印度尼西亚学生的计算能力较低。这是由于学生的软批判性思维能力。可以采取的策略之一是开发pisa类型的问题和活动。本研究的目的是利用一个有效的、实际的轻轨交通环境来制作pisa类型的问题和活动。本研究属于发展性研究中的设计研究型,分为初步评价阶段和形成性评价阶段。本研究以巨港市初八年级学生为研究对象,共34名不同技能的学生。本研究结果的定性分析基于访谈、文献回顾、观察和测试等形式获得的实地数据,以了解学生在解决问题和活动方面的活动。本研究的结果是开发了pisa类型的问题和活动,即四个学生活动和六个使用轻轨交通情境的评价问题。综上所述,在轻轨交通的背景下,pisa类型的问题和活动可以用于课堂学习,以提高学生的计算能力。
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引用次数: 0
Development of collaborative based inquiry learning tools using local wisdom context to improve students metacognitive 开发基于协作的研究性学习工具,利用地方智慧语境来提高学生的元认知
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6969
Sri Supiyati, Muhammad Halqi, Edy Waluyo, A. Rasidi
Geometry is one of the essential materials for students. However, geometry material, especially the concept of geometry, still needs to be made more accessible for students. Models and media are needed, and the proper context in learning mathematics in geometric material. Therefore, this research aims to develop valid, practical, and effective learning using the Collaborative Based Inquiry learning model based on local wisdom to improve students' metacognitive abilities. This study is Research and Development (R D). There were five stages in this study: to analyze the developed product, develop the initial product, expert validation and revision, small-scale field trials and product revisions, and large-scale field trials and final products. Based on the results of the study obtained, several research conclusions, including that the learning device was valid. From the limited test, the results of the five ability test questions were obtained metacognitive is also valid and reliable. Developed learning plans as well practicals from the side of teachers and students. Moreover, the average value of students' metacognitive abilities in the experimental class is classified as effective to increase students' metacognitive abilities. That way, learning mathematics design with Collaborative Based Inquiry based on local wisdom can improve students' metacognitive abilities.
几何是学生必备的材料之一。然而,几何材料,特别是几何概念,仍然需要让学生更容易理解。在几何材料中学习数学需要模型和媒介,也需要适当的背景。因此,本研究旨在利用基于地方智慧的协作式探究学习模式,开发有效、实用和有效的学习,以提高学生的元认知能力。本研究是研究与开发(r&d)。本研究分为五个阶段:分析已开发的产品、开发初始产品、专家验证和修订、小规模现场试验和产品修订、大规模现场试验和最终产品。根据所获得的研究结果,得出了几个研究结论,包括该学习装置是有效的。从有限的测试来看,五个能力测试问题的元认知测试结果也是有效和可靠的。从老师和学生的角度制定学习计划和实践。此外,实验班学生元认知能力的平均值被归类为有效提高学生的元认知能力。这样,基于局部智慧的协作探究式数学设计学习可以提高学生的元认知能力。
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引用次数: 0
The impact of polyhedron learning assisted by Edpuzzle in improving students' mathematical representation Edpuzzle辅助多面体学习对提高学生数学表征的影响
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6587
Nenden Suciyati Sartika, Y. Kusumah, Bambang Avip Priatna Martadiputra, Sutihat Sutihat, E. Rosdianwinata
The ability that students must have is the ability of mathematical representation. This research aims to determine if eighth-grade students at Al-Qona'ah Islamic Junior High School improve their mathematical representation skills after using the Edpuzzle application to learn how to construct polyhedrons. It was a quantitative research design using the Quasi Experiment research method with control and experimental classes. This research's population comprised 60 students (23 males and 37 females). After conducting research, it was determined that students' mathematical representation abilities did not improve with the aid of the Edpuzzle application on the polyhedron due to the need for more learning support facilities when utilizing the Edpuzzle application. This research is supported by the t-test, which yielded t-count t-table or -29.2936 -1.67155 so that H0 is accepted. The results of the n-gain calculation yielded a total n-gain score of 0.03, or the n-gain was low, indicating was no progress in learning using the Edpuzzle application on the polyhedron. This study did not have an impact on increasing students' mathematical representation.
学生必须具备的能力是数学表达的能力。本研究旨在确定Al-Qona'ah Islamic初中的八年级学生在使用Edpuzzle应用程序学习如何构建多面体后是否提高了他们的数学表达能力。本研究为定量研究设计,采用准实验研究方法,分为控制班和实验班。本研究的研究对象为60名学生(男23名,女37名)。经过研究,我们确定在多面体上使用Edpuzzle应用程序并没有提高学生的数学表示能力,因为在使用Edpuzzle应用程序时需要更多的学习支持设施。本研究得到t检验的支持,t-count t表为-29.2936 -1.67155,H0被接受。n-gain计算结果总n-gain得分为0.03,或者n-gain较低,说明在多面体上使用Edpuzzle应用程序学习没有进展。这项研究对提高学生的数学表现没有影响。
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引用次数: 0
Learning trajectory of quadrilaterals learning using the context of Burongko Bugis cake to improve students’ critical thinking 以Burongko Bugis蛋糕为背景的四边形学习轨迹,提高学生的批判性思维
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5159
Andi Aras, Fawziah Zahrawati, Zulfiqar Busrah, Claver Nzobonimpa
One goal of learning mathematics is to foster students’ critical thinking skills, but this has not been realized well in Indonesia. This study aims to produce a learning trajectory that can help students grow their critical thinking skills in studying quadrilaterals using the Burongko cake context. This study uses a design research method that comprises three stages, namely (1) preliminary design, (2) experimental design, and (3) retrospective analysis. This research was conducted at Madrasah Tsanawiyah As’adiyyah Bontouse with 25 students, nine males and 16 females of class VIII B. The results showed that this learning trajectory could improve students’ understanding of learning quadrilaterals with ease and fun because mathematical concepts are associated with students’ daily habits. The resulting learning trajectory is relevant to indicators of critical thinking skills, including interpretation, analysis, evaluation, and decision making. It was found that there was no significant difference in critical thinking skills between students who had high mathematical abilities and low mathematical abilities. Subjects with high mathematical abilities could carry out critical thinking processes to solve problems much better than subjects with low mathematical abilities. The results provide information about the use of local Bugis culture as a context of learning mathematics to improve students’ critical thinking.
学习数学的一个目标是培养学生的批判性思维能力,但这在印度尼西亚并没有很好地实现。本研究旨在建立一个学习轨迹,以帮助学生在使用Burongko蛋糕学习四边形的过程中培养批判性思维能力。本研究采用设计研究方法,包括三个阶段,即(1)初步设计,(2)实验设计,(3)回顾性分析。本研究在伊斯兰学校Tsanawiyah As’adiyyah Bontouse进行,研究对象为八b班的25名学生,其中男9名,女16名。结果表明,由于数学概念与学生的日常习惯有关,这种学习轨迹可以轻松有趣地提高学生对学习四边形的理解。由此产生的学习轨迹与批判性思维技能的指标相关,包括解释、分析、评估和决策。结果发现,数学能力高的学生和数学能力低的学生在批判性思维能力上没有显著差异。数学能力高的被试比数学能力低的被试更能进行批判性思维过程来解决问题。研究结果提供了利用当地布吉族文化作为学习数学的背景来提高学生批判性思维的信息。
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引用次数: 0
Secondary students’ spatial thinking in solving the minimum competency assessment (MCA) on geometry 中学生几何最小能力评价中的空间思维
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5670
Mayang Dintarini, Anis Farida Jamil, Agung Deddiliawan Ismail
Reflecting on PISA and TIMSS, international mathematical, reading, and science literacy assessments, the Indonesian government began implementing the Minimum Competency Assessment (MCA) for primary, secondary, and high school students. MCA demands the ability to solve daily life problems, one of which is geometry problems that require spatial ability. This research focused on describing spatial thinking ability used in numeracy competencies on geometry content. This research is descriptive with a qualitative approach. Thirty junior high school students in Malang, East Java, Indonesia, took the MCA preparation test and assessed their spatial thinking skills. The research was conducted in three stages: preparation, implementation, and analysis, and showed that three aspects of spatial ability, namely visualization, orientation, and relations, had not yet fully emerged. Some students cannot arrange the expected pattern. There are even students who ignore the geometric shapes requested. Students simplify drawing a hexagon with a quadrilateral, which are two different geometric objects, which leads to fatal errors. This study suggests that teachers emphasize learning mathematics that can train students' spatial thinking skills because it can lead to better mathematical understanding and performance.
根据国际学生评估项目(PISA)和TIMSS(国际数学、阅读和科学素养评估),印尼政府开始对小学、初中和高中学生实施最低能力评估(MCA)。MCA要求学生有解决日常生活问题的能力,其中之一就是需要空间能力的几何问题。本研究的重点是描述空间思维能力在几何内容的计算能力。本研究采用定性方法进行描述性研究。印尼东爪哇玛琅的30名初中生参加了MCA预备测试,并评估了他们的空间思维能力。研究分准备、实施和分析三个阶段进行,表明空间能力的三个方面,即可视化、定向和关系尚未完全显现。有些学生不能安排预期的模式。甚至有学生无视要求的几何形状。学生们简化了六边形和四边形的绘制,这是两个不同的几何物体,这导致了致命的错误。本研究建议教师重视能够培养学生空间思维能力的数学学习,因为它可以提高学生对数学的理解和表现。
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引用次数: 1
A local instructional theory (LIT) for teaching linear equation through STEM instruction STEM线性方程教学的局部教学理论
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.4727
S. Rohimah, D. Darhim, D. Juandi
Several previous types of research showed that students had obstacles in understanding the concept of linear equations. These obstacles occur because the designed learning cannot facilitate student learning trajectories, thus causing low learning outcomes. This research aimed to design and develop a learning trajectory for the linear equations in one variable material as a systematic set of activities through Science, Technology, Engineering, and Mathematics (STEM) instruction using a dynamo-powered toy car. This design is referred to as a Local Instructional Theory (LIT) in teaching the linear equations in one variable material. The research method used is the method of design research, following the stages of preliminary design, teaching experiment, and retrospective analysis. The research subjects in the teaching experiment were grade VII students of a state junior high school in Bandung City. Data were collected from various sources, namely student worksheets, teacher and student observation sheets, documentation, interview, and video recording of the learning course. This study analyzes the validity of the research through a qualitative research perspective, and reliability refers to the quality of the survey itself. The research results described the performance of the LIT-based design for linear equations in one variable learning in STEM instruction in four meetings. The research was concluded with the generation of one local instructional theory that is valid, practical, and effective in guiding a set of instructional activities to build an understanding of the linear equations in one variable material through STEM instruction using a dynamo-powered toy car.
之前的几项研究表明,学生在理解线性方程的概念方面存在障碍。这些障碍的产生是因为设计的学习不能促进学生的学习轨迹,从而导致低学习效果。本研究旨在设计并发展单一变量材料线性方程的学习轨迹,作为一套系统的活动,通过使用电动玩具车进行科学、技术、工程和数学(STEM)教学。这种设计被称为局部教学理论(LIT),用于在单一变量材料中教授线性方程。研究方法采用设计研究法,分为初步设计、教学实验、回顾性分析三个阶段。教学实验的研究对象为万隆市某国立初中七年级学生。数据收集的来源多种多样,包括学生工作表、教师和学生观察表、文献资料、访谈和学习过程的视频记录。本研究通过定性研究的角度来分析研究的效度,信度是指调查本身的质量。研究结果描述了基于lit的线性方程设计在STEM教学中一变量学习中的表现。本研究的结论是产生一个有效、实用和有效的本地教学理论,通过使用发电机驱动的玩具车进行STEM教学,指导一系列教学活动,以建立对一个变量材料中的线性方程的理解。
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引用次数: 2
A comparison of reciprocal teaching and scientific approaches for improving pupils' mathematical understanding 互惠教学与科学教学对提高小学生数学理解能力的比较
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5461
Dina Apryani, Rambat Nur Sasongko, M. Kristiawan, N. Yensy. B, Hidayatulloh Hidayatulloh
This study is intended to result in instruction that will help pupils improve their mathematics understanding skills. The similarity of strategies in both the scientific and reciprocal teaching approaches makes it difficult to choose which approach is better. This investigation aims to investigate and explain (1) Improving pupils' mathematical understanding through comparison of scientific approaches and Reciprocal Teaching based on PAM; (2) The impact of the interaction between learning approaches with pupils' PAM on enriching pupils' mathematics understanding ability. It is a quasi-experimental research project that uses two experimental classes. The results of this study are (1) Pupils who learn through the scientific approach and pupils who learn through reciprocal teaching strategies based on PAM pupils have different mathematical thinking abilities, with the average value of improvement in the scientific approach class being more significant than the reciprocal teaching approach class; (2) Learning and pupils' PAM have no interaction effect. It means that learning in both experimental classes applies to all pupils overall in improving pupils' mathematical understanding ability. Based on the results of this study, this study implies that teachers can employ learning using a scientific approach as one of the learning options for pupils to increase their mathematical understanding abilities.
本研究旨在指导学生提高数学理解能力。科学教学方法和互惠教学方法策略的相似性使得选择哪种方法更好变得困难。本研究旨在探讨和解释(1)通过科学方法与基于PAM的互惠教学的比较,提高小学生的数学理解能力;(2)学习方式与小学生PAM互动对丰富小学生数学理解能力的影响。这是一个使用两个实验班的准实验研究项目。研究结果表明:(1)采用科学方法学习的小学生和采用基于PAM的互惠教学策略学习的小学生在数学思维能力上存在差异,科学方法班学生数学思维能力的平均提高值比采用互惠教学策略班学生数学思维能力的平均提高值显著;(2)学习与小学生的PAM没有交互作用。这意味着两个实验班的学习在提高学生的数学理解能力方面全面适用于所有学生。基于本研究的结果,本研究暗示教师可以将科学方法的学习作为学生提高数学理解能力的学习选择之一。
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引用次数: 1
Cognitive demands on geometrical tasks in Indonesian elementary school mathematics textbook 印尼小学数学教科书几何任务的认知需求
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5235
Y. Purnomo, Masitah Sharill, Olivia Pandansari, R. Susanti, W. Winarni
Examples and exercises in mathematics textbooks have an essential role in directing teaching and learning to achieve the objectives of the mathematics curriculum. This study examines mathematical tasks, i.e., examples and exercises, for a grade 4 elementary school mathematics textbook published by the Indonesian Government in 2018. We focus on geometry tasks and categorize them based on the dimensions of cognitive processes and knowledge of the revised Bloom’s taxonomy. Textbook research is used to achieve the objectives of this study. The validity of the data was carried out by employing peer debriefing. The findings of this study indicate that only about 30% of the geometry tasks in this mathematics textbook require high-level mathematical thinking skills. This study also shows that procedural knowledge is more dominant and becomes an orientation in presenting geometry tasks. This finding becomes less relevant to the orientation of researchers and policymakers who want the direction of mathematics education to be forming students as problem solvers.
数学教材中的例题和习题在指导教与学以实现数学课程目标方面起着至关重要的作用。本研究考察了印度尼西亚政府于2018年出版的四年级小学数学教科书的数学任务,即示例和练习。我们专注于几何任务,并根据认知过程的维度和修订的Bloom分类法的知识对它们进行分类。教科书研究是为了达到本研究的目的。数据的有效性是通过采用同行汇报来进行的。本研究结果表明,本数学教科书中只有约30%的几何任务需要较高的数学思维能力。本研究还表明,程序性知识在几何任务呈现中占主导地位,并成为一种取向。研究人员和政策制定者希望数学教育的方向是将学生培养成问题解决者,这一发现与他们的取向不太相关。
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引用次数: 1
A learning trajectory of integer addition and subtraction using the kempreng game context 使用kempreng游戏上下文的整数加减法学习轨迹
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5541
Indri Salsabila, Mohammad Faizal Amir, M. D. K. Wardana
Traditional games can be used as a context to understand mathematical concepts. Many studies on learning trajectory (LT), which are set in the context of traditional games, have been carried out. However, no study focuses on using the context of the traditional kempreng game to facilitate primary students in understanding integer addition and subtraction. This research aims to design an LT through traditional game kempreng to help construct students' understanding and mathematical concepts through various activities that have been developed. This study uses design research with stages, namely preliminary design, teaching experiment, and retrospective analysis. This study produces LT which consists of five activities, namely: consisting of calculating addition points through the kempreng context, calculating subtraction (difference) through the kempreng context, performing additional operations on the “same” kempreng card, performing subtraction operations on “different” kempreng, and determining the results of addition or subtraction operations of number cards with the opposing group. In this study, LT set in the traditional game of kempreng can be used as a context in preparing learning designs that could stimulate students thinking in understanding the mathematical concepts of integer addition and subtraction. The impact of the research design also occurs on teachers. Learning becomes a student center, the teacher as a facilitator. The results of this study can have implications as one of the considerations for using contexts with real and cultural backgrounds to reduce or build a meaningful understanding of the concept of integer addition and subtraction for primary students.
传统游戏可以作为理解数学概念的背景。许多关于学习轨迹的研究都是在传统游戏的背景下进行的。然而,没有研究关注如何利用传统的“干摊”游戏情境来帮助小学生理解整数加减法。本研究旨在通过传统的游戏kempreng来设计一个LT,通过各种已经开发的活动来帮助学生构建理解和数学概念。本研究采用分阶段的设计研究,即初步设计、教学实验和回顾性分析。本研究产生的LT由五个活动组成,即:通过kempreng上下文计算加法,通过kempreng上下文计算减法(差),在“相同”kempreng牌上进行附加操作,在“不同”kempreng牌上进行减法操作,以及确定与对手组数字牌的加法或减法操作结果。在本研究中,传统的“干串”游戏中的LT设置可以作为学习设计的背景,激发学生理解整数加减法数学概念的思维。研究设计的影响也发生在教师身上。学习成为学生的中心,教师成为推动者。本研究的结果可以作为使用真实背景和文化背景的情境来减少或建立小学生对整数加减法概念的有意义理解的考虑之一。
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引用次数: 0
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