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Analysis of implementing Realistic Mathematics Education principles to enhance mathematics competence of slow learner students 实施现实主义数学教育原则提高慢学习者数学能力的分析
Q1 Mathematics Pub Date : 2023-08-29 DOI: 10.22342/jme.v14i4.pp683-700
Nur Listiawati, Simon Sili Sabon, None Siswantari, None Subijanto, Slamet Wibowo, None Zulkardi, Bambang Riyanto
One of the Education for Sustainable Development Goals is to provide equitable and inclusive access to quality education for all. However, some children with special needs, particularly slow learners, have yet to be able to enjoy inclusive and high-quality learning services. This research aims to enhance slow learners' competence by implementing the Realistic Mathematics Education Approach. It is descriptive qualitative research, with data collection techniques including focus group discussion, interview, and learning observation. The analysis involved comparing the principles of Realistic Mathematics Education in theory with those applied by teachers, as well as the learning approach used by teachers with those required by slow learners. The findings indicate that while some teachers have implemented learning based on the principles of Realistic Mathematics Education for all students, there needs to be more focus on interventions specifically tailored to the needs of slow learners. Furthermore, teachers still need to fully understand the services required by slow learners based on their unique characteristics. The implementation of Realistic Mathematics Education to meet the learning needs of slow learners in mathematics has primarily focused on activity and interactivity principles without emphasis on the understanding of concepts to enhance their competence.
教育促进可持续发展目标之一是为所有人提供公平和包容的优质教育机会。然而,一些有特殊需要的儿童,特别是学习速度慢的儿童,尚未能够享受到包容性和高质量的学习服务。本研究旨在运用现实主义数学教育方法来提高慢学习者的能力。它是描述性定性研究,数据收集技术包括焦点小组讨论,访谈和学习观察。分析包括比较现实数学教育的理论原则和教师应用的原则,以及教师使用的学习方法和慢学习者所需的学习方法。研究结果表明,虽然一些教师已经对所有学生实施了基于现实数学教育原则的学习,但需要更多地关注专门针对慢学习者需求的干预措施。此外,教师还需要根据慢学习者的特点,充分了解他们所需要的服务。现实主义数学教育的实施是为了满足慢学习者在数学方面的学习需求,主要侧重于活动和互动原则,而不是强调对概念的理解,以提高他们的能力。
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引用次数: 0
Relating students’ proportional reasoning level and their understanding of fair games 将学生的比例推理水平与他们对公平游戏的理解联系起来
Q1 Mathematics Pub Date : 2023-08-28 DOI: 10.22342/jme.v14i4.pp663-682
María Magdalena Gea, Luis Armando Hernández-Solís, Carmen Batanero, Rocío Álvarez-Arroyo
This paper analyzes the relationship between proportional reasoning and understanding fair games in Costa Rican students. We conducted a quantitative and qualitative analysis of the answers to six items on comparing ratios of increasing difficulty level and another item on prize estimation in a fair game. We describe the strategies employed and the semiotic conflicts detected in 292 Costa Rican students from Grades 6 to 10 (11-16-year-olds), comparing the findings with those established in previous research. The results show an increase in the level of proportional reasoning with the grade, although the age at which the higher levels are reached is lower than that assumed by Noelting. The percentage of students applying correct strategies in the fair game problem also increases with grade, and a relationship between the understanding of fair game and the level of proportional reasoning is observed.
本文分析了哥斯达黎加学生比例推理与公平游戏理解之间的关系。我们对公平游戏中难度等级增加的比较比率的6个题目和奖金估计的另一个题目的答案进行了定量和定性分析。我们描述了292名哥斯达黎加6至10年级(11-16岁)学生所采用的策略和发现的符号学冲突,并将研究结果与之前的研究结果进行了比较。结果表明,比例推理水平随着年级的增加而增加,尽管达到较高水平的年龄低于Noelting的假设。学生在公平博弈问题中使用正确策略的比例也随着年级的增加而增加,并且观察到公平博弈理解与比例推理水平之间的关系。
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引用次数: 0
Developing a learning environment based on science, technology, engineering, and mathematics for pre-service teachers of early childhood teacher education 为幼儿教师教育职前教师建立以科学、技术、工程和数学为基础的学习环境
Q1 Mathematics Pub Date : 2023-08-18 DOI: 10.22342/jme.v14i4.pp647-662
Arvin Efriani, None Zulkardi, Ratu Ilma Indra Putri, Nyimas Aisyah
The purpose of this research is to describe the development of a STEM-based learning environment for early childhood teacher candidates that is valid, practical, and has potential effects. The research sample consisted of 25 pre-service early childhood teachers and 19 students Kindergarten. The research method used was design research with the type of development study. This research has produced a learning environment with the Campus-Application-School (CAS) model consisting of the stages of training, designing, mentoring, and testing. The validity of the STEM-based learning environment model was seen from the developed student worksheet (LKPD) instrument and the content in the learning environment, obtaining a value of 0.88, which was categorized as high validity. The practicality, as seen from the results of one-to-one teaching, small group, and field tests with an average of 94.2, was categorized as very good. Meanwhile, the potential effect was based on Kirkpatrick's four levels of training evaluation with an average of 83.73, which was categorized as very good. This research suggests that the CAS learning environment model can affect teacher approaches to teaching in a step appropriate way based on STEM to prepare student teachers to teach basic mathematics.
本研究的目的是描述一个基于stem的学习环境的发展,为幼儿教师候选人是有效的,实用的,并有潜在的影响。研究样本包括25名职前幼儿教师和19名幼儿园学生。研究方法为设计研究,发展研究类型。本研究构建了一个由培训、设计、指导和测试四个阶段组成的校园-应用-学校(CAS)模式学习环境。从开发的学生工作表(LKPD)工具和学习环境中的内容来看,stem学习环境模型的效度为0.88,为高效度。从一对一教学、小组和实地测试的结果来看,实用性平均为94.2分,属于非常好。同时,潜在效果基于Kirkpatrick的四级训练评价,平均得分为83.73,属于非常好。本研究表明,CAS学习环境模型可以在STEM的基础上逐步影响教师的教学方法,为学生教师教授基础数学做好准备。
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引用次数: 1
Developing a workshop model for high school mathematics teachers in constructing HOTS questions through the Pendidikan Matematika Realistik Indonesia approach 通过 "印度尼西亚现实主义数学教育 "方法,为高中数学教师开发构建 HOTS 问题的工作坊模式
Q1 Mathematics Pub Date : 2023-07-24 DOI: 10.22342/jme.v14i4.pp603-626
Edwar, R. Putri, Zulkardi, Darmawijoyo
Indonesia's Program for International Student Assessment (PISA) results from 2000 to 2018 are worrisome because they are at the bottom of the international rankings. This result illustrates the low quality of education in Indonesia, which correlates with the qualifications of teachers. The quality of education will increase proportionally to the proportion of teachers who possess the necessary skills. Therefore, this study aims to train teachers to improve their professionalism in developing HOTs questions using the Pendidikan Matematika Realistik Indonesia (PMRI) approach. Design research-type development studies with two stages, preliminary and formative evaluation, are utilized. The results of the workshop revealed that the teacher's competency scores in developing HOTs questions increased by 45.70% (before the workshop), 77.14% (workshop 1), and 85.70% (workshop 2), respectively. It is evidenced by the teacher's ability to develop HOTs questions with the characteristics of questions investigating number content within the local context of selling duku fruits (langsat), which is a typical fruit of the East Ogan Komering Ulu (OKU) Regency and with a high degree of difficulty. This research also affects students in that it can stimulate their critical thinking abilities.
印度尼西亚 2000 年至 2018 年的国际学生评估项目(PISA)结果令人担忧,因为其在国际排名中垫底。这一结果表明印尼的教育质量低下,而这与教师的资质相关。教育质量的提高与掌握必要技能的教师比例成正比。因此,本研究旨在培训教师,以提高他们使用印尼现实主义数学教学法(PMRI)编制 HOTs 问题的专业水平。本研究采用设计研究型发展研究,分为初步评价和形成性评价两个阶段。工作坊的结果显示,教师开发 HOTs 问题的能力得分分别提高了 45.70%(工作坊前)、77.14%(工作坊 1)和 85.70%(工作坊 2)。这体现在教师能够根据东奥甘科姆林乌鲁(OKU)地区的典型水果--杜库水果(langsat)的销售情况,编制出具有调查数字内容特点的HOTs问题,而且难度较高。这项研究还能激发学生的批判性思维能力。
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引用次数: 0
Metaphorical perceptions of gifted and normally developing students on the concept of solving mathematical problems 资优学生和发育正常学生对解决数学问题概念的比喻性认识
Q1 Mathematics Pub Date : 2023-07-24 DOI: 10.22342/jme.v14i4.pp627-646
Zübeyde Er, Perihan Dinç Artut
This research aims to determine the metaphorical perceptions of gifted and normally developing students attending primary education regarding solving mathematical problems. In the research, the qualitative research method was employed. In the 2022-2023 academic year, 206 students studying at the primary school level in Turkey were determined according to the convenience sampling method. Students were given a sentence such as “In my opinion, solving mathematical problems is like .........., because; ........” and they were asked to develop a metaphor about mathematical problem solving and explain their reasoning. The research data were categorized using qualitative data analysis methods, and content analysis was performed. In addition, the categories related to the metaphors created and the distribution of the students according to their gender, whether they are gifted or not, and gender were analyzed. From the analysis of the data, seven categories and 84 metaphors emerged. As a result of the data analysis showed that male students were more likely than female students, and gifted students were more likely to produce metaphors than students with normal development. In the seven conceptual categories for mathematical problem solving, 37 metaphors were developed in the conceptual category containing positivity, 16 in the conceptual category containing negativity, and 8 in the conceptual categories containing and developing necessity. Besides, it was seen that 15 metaphors were developed in conceptual categories of Drug Therapeutic, Goal or Result Attainment, Nature, and Natural Phenomena.
本研究旨在确定接受小学教育的资优学生和发育正常学生对解决数学问题的隐喻认知。研究采用了定性研究方法。根据方便抽样法,确定了 2022-2023 学年土耳其小学阶段的 206 名学生。研究人员给学生们提供了这样一句话:"在我看来,解决数学问题就像..........,因为;........",要求他们就数学问题的解决提出一个隐喻并解释其理由。研究数据采用定性数据分析方法进行分类,并进行内容分析。此外,还分析了与所创造的隐喻有关的类别,以及根据学生的性别、是否资优和性别进行的分布情况。通过对数据的分析,得出了 7 个类别和 84 个隐喻。数据分析结果显示,男生比女生更容易产生隐喻,资优生比发育正常的学生更容易产生隐喻。在数学问题解决的七个概念类别中,包含积极性的概念类别产生了 37 个隐喻,包含消极性的概念类别产生了 16 个隐喻,包含和发展必然性的概念类别产生了 8 个隐喻。此外,在 "药物治疗"、"目标或结果的实现"、"自然 "和 "自然现象 "等概念类别中,也出现了 15 个隐喻。
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引用次数: 0
Linking diversity in learning Geometry: Exploring tessellation in techno-based mathematical tasks 几何学习中的多样性联系:探索基于技术的数学任务中的镶嵌法
Q1 Mathematics Pub Date : 2023-07-17 DOI: 10.22342/jme.v14i3.pp585-602
P. A. Laksmiwati, Miftahul Hidayah, Eva Schmidthaler, Rully Charitas Indra Prahmana, B. Sabitzer, Z. Lavicza
Nowadays, digital technologies are crucial in supporting students in geometry in secondary mathematics classrooms. However, in some cases, the role of visual function in technology was only utilized for seeing and conjecturing, not for experimenting, while to develop a relational understanding of geometry concepts, students should actively participate in the learning process. To address the issue, this study investigated how students learn geometry with digital technology assistance based on students' diversity in their mathematics abilities. A task with a dynamic geometry software called Techno-based Mathematical Tasks (TbMT) was designed to assist students in exploring geometrical activities and solving a problem through investigations on tessellation. This research employs educational design research and focuses on the preliminary design by conducting a pilot study on three students based on the diversity in their ability in mathematics classrooms, i.e., low, middle, and high. As part of data collection, we captured students' works to examine critical information in their responses based on their differences in abilities. We collected the data through online meetings and recorded the data. We analyzed students' work from the recording by capturing critical information. The results revealed that the TbMT might provide students with opportunities to learn by exploring tessellation activities that might contribute to students' understanding of geometry concepts. Due to the limited number of participants in this study, further research can be an opportunity to expand the number of participants to enhance the contribution to the literature with more comprehensive empirical evidence.
如今,在中学数学课堂上,数字技术对辅助学生学习几何至关重要。然而,在某些情况下,技术的视觉功能只用于观察和猜想,而不是用于实验,而要形成对几何概念的关系理解,学生应积极参与学习过程。针对这一问题,本研究基于学生数学能力的多样性,探讨了学生如何在数字技术的辅助下学习几何。本研究设计了一个名为 "基于技术的数学任务(TbMT)"的动态几何软件任务,以帮助学生探索几何活动,并通过对镶嵌的探究来解决问题。本研究采用了教育设计研究的方法,重点关注初步设计,根据学生在数学课堂上的能力差异(即低、中、高),对三名学生进行了试点研究。作为数据收集的一部分,我们捕捉了学生的作品,以研究他们基于能力差异的回答中的关键信息。我们通过在线会议收集数据,并对数据进行记录。通过捕捉关键信息,我们对录音中的学生作品进行了分析。结果表明,TbMT 可为学生提供学习机会,通过探索镶嵌活动,促进学生对几何概念的理解。由于本研究的参与者人数有限,进一步的研究可以扩大参与者的人数,以更全面的实证证据加强对文献的贡献。
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引用次数: 0
Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile
Q1 Mathematics Pub Date : 2023-07-16 DOI: 10.22342/jme.v14i3.pp563-584
Camilo Andrés Rodríguez-Nieto, Vicenç Font, Flor Monserrat Rodríguez-Vásquez, L. Pino-Fan
An onto-semiotic analysis of the mathematical connections established by one in-service mathematics teachers and university students when solving a problem about launching a projectile using the derivative was carried out. Theoretically, this research was based on the articulation between the Extended Theory of Mathematical Connections and the Onto-semiotic Approach. The methodology was qualitative-descriptive where data was collected through interviews based on a task. Subsequently, following the joint analysis method of both theories, the mathematical activity of the participants when they solved the task was analyzed. The results show that, teacher and students established a system of connections of feature type, different representations, meanings, part-whole, procedural and implications in terms of practices, processes, objects, and semiotic functions that relate them. However, some students presented difficulties caused by some incorrect mathematical connection such as stating that the maximum height of the projectile is the time obtained with the critical number, errors in performing arithmetic calculations when evaluating the function, graphically representing the quadratic function as a straight line and use the general formula in an inappropriate way that prevents the procedural connection from being made.
本研究对一名在职数学教师和一名大学生在解决利用导数发射弹丸的问题时所建立的数学联系进行了本体交际分析。从理论上讲,这项研究基于数学联系扩展理论和本体--交际方法之间的衔接。研究方法是定性描述法,通过基于任务的访谈收集数据。随后,按照这两种理论的联合分析方法,对参与者解决任务时的数学活动进行了分析。结果表明,教师和学生在实践、过程、对象和符号功能等方面建立了一个由特征类型、不同表征、意义、部分-整体、程序和含义组成的联系系统。然而,有些学生由于一些不正确的数学联系而遇到困难,如指出抛射体的最大高度是用临界数得到的时间,在评估函数时进行算术计算时出现错误,在图形上将二次函数表示为一条直线,以及以不恰当的方式使用一般公式,从而阻碍了程序性联系的建立。
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引用次数: 0
Mathematics achievement emotions of high school students in Kazakhstan 哈萨克斯坦高中生数学成就情绪研究
Q1 Mathematics Pub Date : 2023-06-20 DOI: 10.22342/jme.v14i3.pp525-544
Tamer Gur, Nuri Balta, Aigul Dauletkulova, Gulzhaukhar Assanbayeva, Raquel Fernández-Cézar
Emotions such as anxiety, fear, and frustration can interfere with cognitive processing and hinder our ability to learn and perform well on tasks. Mathematics is a school subject that could generate various emotions in students. This study examined mathematics achievement emotions of students across gender, grade level, and academic performance. Data was collected from 246 students using a questionnaire measuring seven emotions: enjoyment, pride, anger, anxiety, shame, hopelessness, and boredom. Results indicated that except for females’ higher pride, we did not find differences between males' and females’ emotions. Ninth-grade students demonstrated higher anxiety and shame than grade seven and eight students. Finally, students’ mathematics exam grades are weakly correlated with all seven measured emotions. Our findings add to the literature by presenting that emotions are contextual. Except for pride, the results clearly indicated that math emotions in our sample are gender irrelevant and further imply that the socio-cultural context of Kazakhstan supports females to compete with their male friends.
焦虑、恐惧和沮丧等情绪会干扰认知过程,阻碍我们学习和完成任务的能力。数学是一门能让学生产生各种情绪的学校学科。本研究考察了不同性别、年级和学习成绩的学生的数学成就情绪。研究人员通过问卷调查收集了246名学生的数据,测量了七种情绪:享受、骄傲、愤怒、焦虑、羞耻、绝望和无聊。结果表明,除了女性的自豪感更高外,我们没有发现男性和女性情绪之间的差异。九年级学生比七年级和八年级学生表现出更高的焦虑和羞耻。最后,学生的数学考试成绩与所有七种测量情绪都呈弱相关。我们的研究结果通过表明情绪是情境性的,为文献提供了补充。除了骄傲之外,结果清楚地表明,我们样本中的数学情绪与性别无关,并进一步暗示哈萨克斯坦的社会文化背景支持女性与男性朋友竞争。
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引用次数: 0
RME-based local instructional theory for translation and reflection using of South Sumatra dance context 基于rme的地方教学理论对南苏门答腊舞蹈语境的翻译与反思
Q1 Mathematics Pub Date : 2023-06-20 DOI: 10.22342/jme.v14i3.pp545-562
Dewi Rawani, R. Putri, Zulkardi, E. Susanti
A learning trajectory as a sequence of mathematical activities that could facilitate the growth of students’ understanding of learning goals. This research aimed to produce an instructional sequence to learn the concepts of translation and reflection and to investigate how students develop their understanding informally using a South Sumatra dance context. The research employed the design research method, which consisted of three stages: preliminary design, design experiment (pilot experiment and teaching experiment), and retrospective analysis. This research involved six students who have the high, medium, low capability at the first cycle and 32 students ninth graders at the second cycle at Junior High School 1 Palembang. Data from observations, tests, interviews, and documentation were analyzed descriptively. The tests used were aimed to determine the improvement made by the students; while the classroom observations, interviews, and documentations were used to develop the local instructional theory. This study produced a learning trajectory with three activities include: the students watched a dance video to describe the dancer’s’ positions in relation to floor tiles; the students were asked to determine the starting points of the dancers in Cartesian coordinates to learn concepts; and the students developed a formal concept based on their own knowledge.
作为一系列数学活动的学习轨迹可以促进学生对学习目标的理解的增长。本研究旨在建立一个教学序列来学习翻译和反思的概念,并调查学生如何利用南苏门答腊岛舞蹈的非正式语境来发展他们的理解。本研究采用设计研究法,分为三个阶段:初步设计、设计实验(先导实验和教学实验)、回顾性分析。本研究以六名第一阶段高、中、低阶段的学生和32名第二阶段的九年级学生为研究对象。对来自观察、测试、访谈和文档的数据进行描述性分析。所使用的测试旨在确定学生取得的进步;而课堂观察、访谈和文献则被用来发展当地的教学理论。这项研究产生了一个学习轨迹,包括三个活动:学生观看舞蹈视频来描述舞者与地砖的位置;学生们被要求在笛卡尔坐标中确定舞者的起点来学习概念;学生们根据自己的知识形成了一个正式的概念。
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引用次数: 0
Textbook praxeological-didactical analysis: Lessons learned from the Indonesian mathematics textbook 教材实践-教学法分析:印尼数学教材的经验教训
Q1 Mathematics Pub Date : 2023-06-15 DOI: 10.22342/jme.v14i3.pp503-524
Tri Nova Hasti Yunianta, D. Suryadi, D. Dasari, T. Herman
The objective of textbook study is to create high-quality textbooks. Analysis was done using a praxeological-didactical analysis (PDA) method. PDA offers space to analyze curriculum materials, such as math textbooks, which are the outcome of human action in the anthropology of a specific nation's society. There are 10 types of tasks given in the mathematics textbook on measurement of spatial figures and seven techniques are identified as possible ways to complete the tasks. The justification of praxis is that there are three emerging technologies and two theories that are used as the final direction of the given task type. There is a sequence of task composition at the start with loads at level 2 and level 3 that can affect student readiness. Psychologically, it is regarded as difficult at first, which can lead to students becoming disinterested as well as bored, thus experiencing difficulties, creating ontogenetic obstacles. The other predicted learning obstacles identified in this textbook are epistemological and didactic obstacles. All the findings from this analysis can be applied to continuously raise the standard of the currently available mathematics textbooks.
教材研究的目标是创造高质量的教材。分析采用行动学-教学法分析(PDA)方法。PDA为分析课程材料提供了空间,例如数学教科书,它们是特定国家社会人类学中人类行为的结果。在空间图形测量的数学教科书中给出了10种类型的任务,并确定了七种可能的方法来完成任务。实践的理由是,有三种新兴技术和两种理论被用作给定任务类型的最终方向。在第2级和第3级的负荷开始时,有一系列的任务组成会影响学生的准备。在心理上,它一开始被认为是困难的,这可能导致学生变得不感兴趣和无聊,从而经历困难,造成个体发育障碍。本教材中指出的其他可预测的学习障碍是认识论和教学障碍。所有这些分析结果都可以用于不断提高现有数学教科书的水平。
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引用次数: 1
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Journal on Mathematics Education
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