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Mathematics literacy task on number pattern using Bengkulu context for junior high school students 初中生数字模式语境下的数学素养任务
Q1 Mathematics Pub Date : 2023-02-22 DOI: 10.22342/jme.v14i1.pp85-102
A. Susanta, H. Sumardi, E. Susanto, H. Retnawati
Mathematical literacy has an important role in solving students' real-life problems in supporting literacy skills, teachers can use real contexts as outlined in tasks in-class learning. The Bengkulu context can be used because it is closely related to the environment and students' daily live. This study aims to produce math literacy tasks in the Bengkulu context which are valid and potential impact on student literacy. The research employed a development design with a formative evaluative model using stages of self-evaluation, expert reviews, one-to-one, small group, and field tests. The subjects of the research were students in the eighth grade of a Junior High School in Bengkulu City. Data were collected through questionnaires, documentation, tests, and interviews. This study produced four mathematical literacy tasks with the Bengkulu context that met the criteria of being valid and having a potential impact. Mathematical tasks that are designed with the context can improve students' mathematical literacy activities. The use of tasks with context can be a learning resource that strengthens the introduction of students' local culture.
数学素养在解决学生的现实生活问题中发挥着重要作用,在支持识字技能方面,教师可以在课堂学习中使用任务中概述的真实情境。明库鲁语的语境可以被使用,因为它与环境和学生的日常生活密切相关。本研究的目的是在明库鲁语境下产生有效的和潜在的影响学生素养的数学素养任务。本研究采用了一种具有形成性评价模型的开发设计,采用了自我评价、专家评审、一对一、小组和实地测试等阶段。研究对象是明古鲁市一所初中八年级的学生。通过问卷调查、文件记录、测试和访谈收集数据。这项研究产生了四项具有Bengkulu背景的数学素养任务,这些任务符合有效和具有潜在影响的标准。结合情境设计数学任务可以提高学生的数学素养活动。情境任务的使用可以成为一种学习资源,加强学生对当地文化的介绍。
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引用次数: 4
Preservice teachers’ knowledge mobilized in solving area tasks 职前教师在解决区域任务中的知识调动
Q1 Mathematics Pub Date : 2023-02-22 DOI: 10.22342/jme.v14i1.pp35-54
Sofía Caviedes, Genaro de Gamboa, Edelmira Badillo
Studies that address preservice teachers’ knowledge of area measurement emphasize their lack of knowledge and their tendency towards the use of formulas, without offering a body of knowledge that helps to address such difficulties. This study offers an approximation of the mathematical knowledge necessary for preservice teachers to solve area tasks. For this, the Mathematics Teacher's Specialized Knowledge model is used with emphasis on the subdomain of Knowledge of Topics and Knowledge of the Structure of Mathematics. Preservice teachers' resolutions and written justifications are analyzed using qualitative and quantitative tools. The results indicate that those resolutions that manage to mobilize mathematical knowledge are associated with the joint mobilization of different procedures, properties, and geometric principles. Results also indicate that the strategic coordination between different registers of representation allows Preservice Teachers to mobilize categories of specialized knowledge and establishing connections with other mathematical contents.
针对职前教师面积测量知识的研究强调他们缺乏知识,倾向于使用公式,而没有提供有助于解决这些困难的知识体系。本研究提供了职前教师解决区域任务所需的数学知识的近似值。为此,使用数学教师专业知识模型,重点关注主题知识和数学结构知识的子领域。使用定性和定量工具分析职前教师的决议和书面理由。结果表明,那些设法调动数学知识的决议与不同程序、性质和几何原理的联合调动有关。结果还表明,不同表征域之间的战略协调使职前教师能够调动专业知识类别,并与其他数学内容建立联系。
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引用次数: 0
Infusing Islamic financial literacy in mathematics education for Islamic school 在伊斯兰学校的数学教育中注入伊斯兰金融知识
Q1 Mathematics Pub Date : 2023-02-21 DOI: 10.22342/jme.v14i1.pp19-34
I. B. Kusumawati, A. Fachrudin, Ratu Ilma, I. Putri
Knowledge of financial literacy, including Islamic financial literacy which has been widely used in various financial products, intersects with several domain areas in mathematical concepts, especially in basic arithmetic which requires students to perform basic calculations before making the right financial decisions. This research aims to develop an instructional design of social arithmetic learning using Math-based Islamic Financial Literacy (MIFL) framework for Islamic schools. We develop a Hypothetical Learning Trajectory (HLT) for fostering students' numeracy and Islamic Financial Literacy (IFL) skills by using MIFL framework that involves various Islamic financial problems as context in mathematics tasks. We chose design research as the method for accomplishing our objective. However, we will discuss about task design and a portion of one of the three major phases of design research, namely pilot experiments. We involved three experts to provide suggestions to improve the tasks and six students from an Islamic junior high school participated in this study. We designed three stages of learning activities. Identifying of math-based Islamic financial information, analyzing math-based Islamic financial context, and applying math-based Islamic financial knowledge and understanding for completing the tasks are the three activities. Results indicate that HLT can indeed assist students in acquiring fundamental arithmetic abilities and advance their IFL. To improve the learning trajectory, we added several sub-sections of activities that bridged the understanding of mathematics and IFL.
金融知识,包括广泛应用于各种金融产品的伊斯兰金融知识,与数学概念的几个领域交叉,特别是在基本算术方面,要求学生在做出正确的金融决策之前进行基本的计算。本研究旨在为伊斯兰学校开发一种基于数学的伊斯兰金融素养(MIFL)框架的社会算术学习教学设计。我们开发了一个假设的学习轨迹(HLT),通过使用MIFL框架来培养学生的计算能力和伊斯兰金融素养(IFL)技能,该框架将各种伊斯兰金融问题作为数学任务的背景。我们选择了设计研究作为实现我们目标的方法。然而,我们将讨论任务设计和设计研究的三个主要阶段之一的一部分,即试点实验。我们邀请了三位专家提出改进任务的建议,并邀请了六名来自伊斯兰教初中的学生参与本研究。我们设计了三个阶段的学习活动。识别基于数学的伊斯兰金融信息,分析基于数学的伊斯兰金融背景,运用基于数学的伊斯兰金融知识和理解来完成任务是三个活动。结果表明,HLT确实可以帮助学生获得基本的算术能力,并提高他们的数学能力。为了改善学习轨迹,我们增加了几个子部分的活动,以架起对数学和IFL理解的桥梁。
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引用次数: 0
Exploring problem-solving through the intervention of technology and Realistic Mathematics Education in the Calculus content course 探索在微积分内容课程中运用技术与现实数学教育的干预解决问题
Q1 Mathematics Pub Date : 2023-02-21 DOI: 10.22342/jme.v14i1.pp103-128
R. Suparatulatorn, N. Jun-on, Y. Hong, Pimpaka Intaros, S. Suwannaut
In Thai mathematics classrooms, there is a lack of attention to support students’ mathematical problem-solving skills by working from real-world contexts that make sense to students. This study aimed to investigate how pre-service mathematics teachers’ problem solving can be explored in their content course, intervening with technology and Realistic Mathematics Education (RME) through the Mean Value Theorem (MVT) lesson. The study included nine pre-service mathematics teachers purposively selected from a public university in Thailand who attended a Calculus course. Data was collected from classroom artifacts, observation notes, and interviews. It was found in this study that the intervention of technology and RME in pre-service mathematics teachers’ content courses has the potential to build pre-service mathematics teachers’ problem-solving abilities. It was also discussed that the intervention could use RME to conceptualize mathematics theorem and cultivate Polya’s problem-solving steps. The findings provide light on the efficacy of using technology and RME in enhancing problem-solving skills among other content courses and could be used to inform the creation of mathematics curricula and instructional strategies in undergraduate content courses for mathematics education programs.
在泰国的数学课堂上,缺乏通过对学生有意义的现实环境来支持学生解决数学问题的能力的关注。摘要本研究旨在探讨职前数学教师如何透过中值定理课程,介入科技与现实数学教育(RME),以探索职前数学教师解决问题的能力。研究对象为泰国一所公立大学的九名在职前数学教师,他们参加了微积分课程。数据收集自课堂文物、观察笔记和访谈。本研究发现,技术和RME对职前数学教师内容课程的干预具有培养职前数学教师解决问题能力的潜力。并讨论了干预可以利用RME对数学定理进行概念化,培养Polya的解题步骤。研究结果揭示了在其他内容课程中使用技术和RME提高解决问题能力的有效性,并可用于为数学教育计划的本科内容课程的数学课程和教学策略的创建提供信息。
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引用次数: 0
Promising research studies between mathematics literacy and financial literacy through project-based learning 通过基于项目的学习对数学素养和金融素养之间的关系进行有前景的研究
Q1 Mathematics Pub Date : 2023-01-30 DOI: 10.22342/jme.v13i4.pp753-772
L. Sagita, Ratu Ilma, I. Putri, Rully Charitas, Indra Prahmana
Financial literacy is a knowledge and attitude about finance and is a 21st-century skill. As a knowledge, a cognitive factor of a person will impact their financial literacy skill. Through a bibliometric analysis study of 274 documents published from 1994 to 2022 in the Scopus database, we found that mathematics literacy is the cognitive factor of one's financial literacy skill. The OECD and several studies offer intertwined concepts, financial literacy and mathematics, to be presented in the mathematics curriculum in primary and secondary schools. After we got the bibliometric results, we surveyed several junior high schools in Yogyakarta to learn more about this issue. A total of 15 mathematics teachers participated in this survey, randomly chosen in junior high school. We got information stating that mathematics teachers used financial terms as a social arithmetic context, did not teach financial knowledge and attitudes, and never heard 13 from 17 financial terms in the survey. Furthermore, we present a framework for implementing financial literacy in mathematics through three dimensions, content, context, and process. The dimension content consists of mathematics' and financial content. On the other hand, the dimension context is related to education and work, home and family, and individual and societal. As a cognitive process, the dimensions of the process are based on Bloom's Cognitive stages. The potential for future research is developing learning activities and implementing them in the independent curriculum, which impacts schools' ability to use project-based learning, which is the most approach to implementing financial literacy in mathematics classes.
金融素养是一种关于金融的知识和态度,是一项21世纪的技能。作为一种知识,一个人的认知因素会影响他的理财素养。通过对Scopus数据库1994 - 2022年间发表的274篇文献进行文献计量分析,我们发现数学素养是一个人金融素养技能的认知因素。经合组织和几项研究提出了相互交织的概念,金融知识和数学,将在中小学的数学课程中提出。在我们得到文献计量结果后,我们调查了日惹的几所初中,以了解更多关于这个问题的信息。本次调查共有15名初中数学教师参与,随机抽取。我们得到的信息表明,数学教师将金融术语作为社会算术背景,不教授金融知识和态度,并且在调查的17个金融术语中从未听到过13个。此外,我们提出了一个框架,通过三个维度,内容,背景和过程来实施数学金融素养。维度内容包括数学内容和金融内容。另一方面,语境维度与教育和工作、家庭和家庭、个人和社会有关。作为一个认知过程,该过程的维度是基于布鲁姆的认知阶段。未来研究的潜力是开发学习活动并在独立课程中实施,这影响了学校使用基于项目的学习的能力,这是在数学课堂中实施金融素养的最有效方法。
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引用次数: 0
An empirical study of factors influencing primary school teachers' long-term commitment to Realistic Mathematics Education 小学教师长期从事现实数学教育的影响因素实证研究
Q1 Mathematics Pub Date : 2023-01-22 DOI: 10.22342/jme.v14i1.pp1-18
Giang Thi Kieu Nguyen, Chau Thi Hai Pham
Realistic Mathematics Education (RME) is a re-emerging teaching and learning pedagogy approach that has gained a lot of momentum since 2016. Prior publications concentrated mostly on curriculum design and student achievement, while little attention was devoted to understanding teachers’ perceptions toward RME. Thus, the purpose of this study was to investigate the effects of factors that influence teachers' perceptions to adopt RME in the long term. Ten hypotheses were proposed and tested employing the Generalized Structured Component Analysis (GSCA) technique. 226 primary school teachers from various regions were recruited to answer the questionnaires via Google Form. The experimental results validated six out of ten expected relationships between the factors in the extended self-determination theory model. That is, perceived competence affected confirmation, confirmation influenced both intrinsic motivation and satisfaction, intrinsic motivation influenced satisfaction, and satisfaction and parental involvement both were considered reliable predictors of realistic math education continuance intention. The remaining hypotheses were not validated, that is, autonomy, relatedness and competence were not found significant on intrinsic motivation, and intrinsic motivation did not influence RME continuance intention. Overall, the model explains 57.9% the amount of variance in the data. Administrators and policymakers are recommended to intervene on validated relationships to increase teachers' retention and long-term commitment to RME, whereas unsupported assumptions must be reexamined in the future.
现实主义数学教育(RME)是一种重新出现的教学和学习教学法,自2016年以来获得了很大的动力。先前的出版物主要集中在课程设计和学生成绩上,而很少关注理解教师对RME的看法。因此,本研究的目的是探讨影响教师长期采用RME观念的因素的影响。提出了十个假设,并采用广义结构化成分分析(GSCA)技术进行了检验。本研究以谷歌表格的形式,从全国各地选取226名小学教师进行问卷调查。实验结果验证了扩展自我决定理论模型中十个因素之间预期关系中的六个。即感知能力影响确认,确认影响内在动机和满意度,内在动机影响满意度,满意度和父母参与都被认为是现实数学教育继续意愿的可靠预测因子。其余假设未得到验证,即自主性、相关性和胜任性对内在动机的影响不显著,内在动机对RME继续意愿的影响不显著。总体而言,该模型解释了数据中57.9%的方差。建议管理人员和政策制定者对有效的关系进行干预,以提高教师的留任率和对RME的长期承诺,而不受支持的假设必须在未来重新审视。
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引用次数: 0
Information and communication technology integration and teaching mathematics in higher education 信息通信技术与高等数学教学的融合
Q1 Mathematics Pub Date : 2023-01-19 DOI: 10.22342/jme.v13i4.pp739-752
Mansur Tokanov, S. Damekova, Shakharzat Kuttykozhayeva, Gulsim Abdoldinova, Y. Smagulov
The purpose of the study is to develop a model for the application of information and communication technology in the teaching of higher mathematics at the level of school education. The leading method for studying this issue is testing developed by V.E. Milman "Diagnostics of motivational structure of personality", which allows studying the level and features of motivational sphere of the researched based on characteristics of their personality with prevailing emotional background of interest, which are directly connected with motivational sphere and due to which it is possible to influence the level of motivation and mastering of the material on topics of higher mathematics based on given parameters of its increase. The identified indicators enable determining the success of using information and communication technologies within the framework of the created model improving the educational process of studying elements of higher mathematics at school. This will enable students to understand how the knowledge they are learning will be put into practice in their lives in the future, allowing them to be highly motivated in their approach to learning the subject, as well as within the framework of imaginative reconstructions of mathematical figures from different angles, graphs of various parameters, imaginative explanations of formulae, theorems and mathematical rules, which will be displayed in 3D on a large screen, thus enabling students, through their visualization, to understand their essence from different perspectives, which will be reinforced by their practical application.
摘要本研究旨在建立资讯通讯科技在学校高等数学教学中的应用模式。研究这一问题的主要方法是米尔曼(V.E. Milman)的“人格动机结构诊断”(Diagnostics of motivation structure of personality)测试,该测试可以根据被研究对象的人格特征和主要的情感兴趣背景来研究被研究对象的动机领域的水平和特征。这与动机领域直接相关,因此有可能影响动机水平和掌握基于给定参数的高等数学主题的材料。所确定的指标能够确定在所创建的模型框架内使用信息和通信技术的成功,从而改善学校学习高等数学要素的教育过程。这将使学生了解他们所学的知识将如何在未来的生活中付诸实践,使他们在学习学科的方法中具有高度的积极性,以及在从不同角度想象重建数学图形的框架内,各种参数的图形,公式,定理和数学规则的想象解释,这些都将以3D形式显示在大屏幕上,从而使学生,通过它们的形象化,从不同的角度理解它们的本质,并在实际应用中得到强化。
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引用次数: 0
Developing PISA-like math problems in the content of space and shape through the context of historical buildings 通过历史建筑的背景,在空间和形状的内容上开发类似pisa的数学问题
Q1 Mathematics Pub Date : 2023-01-15 DOI: 10.22342/jme.v13i4.pp723-738
I. N. Aini, Zulkardi, R. Putri, P. Yaniawati
The essential purpose of developing PISA-like questions is to train students' reasoning abilities so that students' ability to solve PISA-like questions increases. Therefore, this research aims to produce PISA-like math problems in the context of historical buildings in the Karawang Regency that are valid, practical, and potentially affect mathematics learning. The subjects of this study were junior high school students at SMPN 2 Karawang Barat. This research uses design research with development studies, consisting of preliminary and prototyping phases. The preliminary stage consists of two stages: needs analysis and design, while the prototyping stage consists of 5 phases: self-evaluation, expert review, one-to-one, small group, and field tests. The data collection techniques in this study were in the form of PISA-like math problems in the context of shape and space with the context of Historic Buildings in Karawang, observations, questionnaires, and interviews. All data obtained were analyzed descriptively. The results show that this study resulted in nine PISA-like math problems in the context of shape and space with the context of Historic Buildings in Karawang that are valid, practical, and potentially affect learning mathematics. The potential effect is related to students' interest in PISA-like questions and students' ability to understand and answer PISA-like questions. Finally, the results of this study have an impact on students who are getting trained in solving PISA-like math problems.
开发类pisa题的根本目的是培养学生的推理能力,从而提高学生解决类pisa题的能力。因此,本研究的目的是在卡拉旺摄政的历史建筑的背景下产生类似pisa的数学问题,这些问题是有效的,实用的,并且可能影响数学学习。本研究以Karawang Barat第二中学的初中生为研究对象。本研究使用了设计研究和开发研究,包括初步和原型设计阶段。前期包括需求分析和设计两个阶段,原型阶段包括自我评估、专家评审、一对一、小组、现场测试5个阶段。本研究的数据收集技术采用类似pisa的数学问题的形式,以形状和空间为背景,以卡拉旺的历史建筑为背景,观察,问卷调查和访谈。对获得的所有数据进行描述性分析。结果表明,本研究以卡拉旺历史建筑为背景,在形状和空间的背景下得出了9个类似pisa的数学问题,这些问题是有效的、实用的,并且可能影响数学学习。潜在的影响与学生对类pisa问题的兴趣以及学生理解和回答类pisa问题的能力有关。最后,这项研究的结果对那些正在接受解决类似pisa数学问题训练的学生也有影响。
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引用次数: 1
Local instructional theory of probability topics based on realistic mathematics education for eight-grade students 基于现实数学教育的八年级学生概率主题局部教学理论
Q1 Mathematics Pub Date : 2022-12-27 DOI: 10.22342/jme.v13i4.pp703-722
Armiati, A. Fauzan, Y. Harisman, F. Sya’bani
This study examines the development of learning designs based on Realistic Mathematics Education (RME) on the probability topic at the eighth-grade junior high school level. Probability abounds in everyday life, and the RME approach is believed to develop students’ mathematical communication skills. This learning design development used the Plomp model combined with Gravemeijer and Cobb model. The research phase includes preliminary research, prototyping phase, and assessment phase. The products of this research are a valid, practice, and effective Local Instructional Theory (LIT) and teacher and student books. The results showed that the students who participated in learning using RME-based designs could determine the concept of probability and effectively improve students’ mathematical communication skills.
本研究探讨了基于现实数学教育(RME)的学习设计在初八年级概率主题上的发展。概率在日常生活中随处可见,RME方法被认为可以培养学生的数学沟通能力。这个学习设计开发使用了Plomp模型与Gravemeijer和Cobb模型相结合的模型。研究阶段包括初步研究、原型设计阶段和评估阶段。本研究的成果是一个有效的,实践的,有效的地方教学理论(LIT)和教师和学生的书籍。结果表明,使用基于rmme的设计参与学习的学生能够确定概率的概念,有效地提高了学生的数学沟通能力。
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引用次数: 4
Students’ failure to understand fraction multiplication as part of a quantity 学生不能理解分数乘法作为数量的一部分
Q1 Mathematics Pub Date : 2022-12-27 DOI: 10.22342/jme.v13i4.pp681-702
Y. Purnomo, Pasri, T. A. Aziz, M. Shahrill, Irfan Wahyu Prananto
In the body of knowledge in mathematics education research, fractions are one of the researchers' concerns. The reason is because fractions are very difficult for students to understand. This study explores elementary school students' knowledge and obstacles in dealing with the multiplication of fractions. This study employs descriptive quantitative and qualitative approaches. Data were collected using the fractional knowledge test administered to 56 fifth-grade students and cognitive semi-structured interviews with six students depending on their test scores. The results of this study show that students’ knowledge of fractions is restricted, with challenges interpreting context-based problems and the usage of “of” terms. Another finding shows that students’ procedural knowledge is more dominant than conceptual knowledge. To develop students’ knowledge of fractions, the portion of context-based learning must be an emphasis. The importance of developing research-based textbooks based on a suitable learning trajectory is highlighted.
在数学教育研究的知识体系中,分数是研究者关注的问题之一。原因是分数对学生来说很难理解。本研究探讨小学生在处理分数乘法的知识及障碍。本研究采用描述性、定量和定性方法。收集数据的方法是对56名五年级学生进行分数知识测试,并根据测试成绩对6名学生进行认知半结构化访谈。本研究的结果表明,学生的分数知识是有限的,在解释基于上下文的问题和“of”术语的使用方面存在挑战。另一个发现是,学生的程序性知识比概念性知识更占优势。为了发展学生的分数知识,基于上下文的学习部分必须是一个重点。强调了基于合适的学习轨迹开发研究性教科书的重要性。
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引用次数: 1
期刊
Journal on Mathematics Education
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