首页 > 最新文献

Journal on Mathematics Education最新文献

英文 中文
Problem-based task in teacher training program: Mathematics teachers’ beliefs and practices 教师培训计划中的问题型任务:数学教师的信念与实践
Q1 Mathematics Pub Date : 2022-07-11 DOI: 10.22342/jme.v13i2.pp257-274
S. Suryanti, T. Nusantara, I. Parta, S. Irawati
Research on mathematics teacher professional development has emphasized primarily teaching quality enhancement. Mathematics task as one of the vital components in mathematics teacher education has been sparsely investigated. The purpose of this research is to explore mathematics teachers’ beliefs and practices in applying a problem-based task after attending one-semester online teacher professional training funded by the Ministry of Education. This is a mixed-method research design with data collected by distributing questionnaires to 105 mathematics teachers from 24 provinces in Indonesia after accomplishing an online professional training program to determine their self-reported beliefs about mathematical problem-based tasks. Data were also collected by conducting focus group interviews with 15 mathematics teachers with different teaching experiences. Teachers' relevant documents, such as course contents, task forms, and notes, were analyzed and used to enrich the qualitative interpretation. The quantitative result indicated that mathematics teachers' beliefs on the problem-based task were low. Meanwhile, the qualitative findings indicated this category of teachers constructed their problem-based tasks with no theoretical framework. Three misconceptions in designing problem-based tasks were also reported. Therefore, future research is recommended for a more acceptable and applicable problem-based tasks framework and design a specific teacher professional development training to promote teachers’ competencies.
数学教师专业发展的研究主要侧重于教学质量的提高。数学任务作为数学教师教育的重要组成部分之一,其研究很少。本研究旨在探讨数学教师在参加教育部资助的一学期在线教师专业培训后,在应用问题型任务方面的信念和实践。这是一项混合方法的研究设计,其数据是通过向印度尼西亚24个省的105名数学教师分发问卷收集的,这些教师在完成了一个在线专业培训项目后,确定了他们对基于数学问题的任务的自我报告信念。通过对15名不同教学经历的数学教师进行焦点小组访谈,收集数据。分析并利用教师的相关文件,如课程内容、任务表格、笔记等,丰富定性解释。定量结果表明,数学教师对问题型任务的信任度较低。同时,定性研究结果显示,这类教师在建构问题型任务时没有理论框架。在设计基于问题的任务时还报告了三个误解。因此,未来的研究建议建立一个更容易被接受和适用的基于问题的任务框架,并设计一个具体的教师专业发展培训,以提高教师的能力。
{"title":"Problem-based task in teacher training program: Mathematics teachers’ beliefs and practices","authors":"S. Suryanti, T. Nusantara, I. Parta, S. Irawati","doi":"10.22342/jme.v13i2.pp257-274","DOIUrl":"https://doi.org/10.22342/jme.v13i2.pp257-274","url":null,"abstract":"Research on mathematics teacher professional development has emphasized primarily teaching quality enhancement. Mathematics task as one of the vital components in mathematics teacher education has been sparsely investigated. The purpose of this research is to explore mathematics teachers’ beliefs and practices in applying a problem-based task after attending one-semester online teacher professional training funded by the Ministry of Education. This is a mixed-method research design with data collected by distributing questionnaires to 105 mathematics teachers from 24 provinces in Indonesia after accomplishing an online professional training program to determine their self-reported beliefs about mathematical problem-based tasks. Data were also collected by conducting focus group interviews with 15 mathematics teachers with different teaching experiences. Teachers' relevant documents, such as course contents, task forms, and notes, were analyzed and used to enrich the qualitative interpretation. The quantitative result indicated that mathematics teachers' beliefs on the problem-based task were low. Meanwhile, the qualitative findings indicated this category of teachers constructed their problem-based tasks with no theoretical framework. Three misconceptions in designing problem-based tasks were also reported. Therefore, future research is recommended for a more acceptable and applicable problem-based tasks framework and design a specific teacher professional development training to promote teachers’ competencies.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74753748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Curiosity: A game-based early mathematics case 好奇心:基于游戏的早期数学案例
Q1 Mathematics Pub Date : 2022-06-10 DOI: 10.22342/jme.v13i2.pp275-288
C. Rahayu, R. Putri, Zulkardi, Y. Hartono
This research aimed to generate a learning trajectory in an introduction to early mathematics, precisely to measure learning using educational games and Realistic Mathematics Education (RME) and to describe young children’s curiosity in learning early mathematics. Children need to have an understanding to take a measurement and use a learning trajectory to learn how to differentiate measurable and countable quantities and to tell the longer and the greater in number. The design of this research involves three phases, namely, preliminary design, experimentation, and retrospective analysis. A Hypothetical Learning Trajectory (HLT) using educational games was developed by collecting data from documentation, observations, and interviews. The results obtained from the implementation in the classroom showed that the educational games were able to help young children get to know early mathematics, particularly on measurements of lengths and volumes. There is an association with several factors in the selection of realistic problems. Communications during the game could stimulate an introduction to measurement. The use of objects in students’ vicinity also contributed to their experiments relating to measurement. The results of this research inform policymaking for teachers in designing learning in the classroom in introducing early mathematics based on educational games and Realistic Mathematics Education (RME).
本研究旨在生成早期数学入门的学习轨迹,精确地测量使用教育游戏和现实数学教育(RME)的学习,并描述幼儿学习早期数学的好奇心。孩子们需要有一个理解去测量,并使用学习轨迹来学习如何区分可测量的和可计数的数量,并告诉数字越长越大。本研究的设计包括三个阶段,即初步设计、实验和回顾性分析。通过收集文件、观察和访谈数据,开发了一种使用教育游戏的假设学习轨迹(HLT)。在课堂上实施的结果表明,教育游戏能够帮助幼儿了解早期数学,特别是长度和体积的测量。现实问题的选择与几个因素有关。游戏中的交流可以刺激测量的引入。使用学生附近的物体也有助于他们进行与测量有关的实验。本研究的结果为教师在引入早期数学教育游戏和现实主义数学教育(RME)时设计课堂学习提供了决策依据。
{"title":"Curiosity: A game-based early mathematics case","authors":"C. Rahayu, R. Putri, Zulkardi, Y. Hartono","doi":"10.22342/jme.v13i2.pp275-288","DOIUrl":"https://doi.org/10.22342/jme.v13i2.pp275-288","url":null,"abstract":"This research aimed to generate a learning trajectory in an introduction to early mathematics, precisely to measure learning using educational games and Realistic Mathematics Education (RME) and to describe young children’s curiosity in learning early mathematics. Children need to have an understanding to take a measurement and use a learning trajectory to learn how to differentiate measurable and countable quantities and to tell the longer and the greater in number. The design of this research involves three phases, namely, preliminary design, experimentation, and retrospective analysis. A Hypothetical Learning Trajectory (HLT) using educational games was developed by collecting data from documentation, observations, and interviews. The results obtained from the implementation in the classroom showed that the educational games were able to help young children get to know early mathematics, particularly on measurements of lengths and volumes. There is an association with several factors in the selection of realistic problems. Communications during the game could stimulate an introduction to measurement. The use of objects in students’ vicinity also contributed to their experiments relating to measurement. The results of this research inform policymaking for teachers in designing learning in the classroom in introducing early mathematics based on educational games and Realistic Mathematics Education (RME).","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83164861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Future early childhood teachers designing problem-solving activities 未来幼儿教师设计问题解决活动
Q1 Mathematics Pub Date : 2022-06-10 DOI: 10.22342/jme.v13i2.pp239-256
Gemma Sala-Sebastià, Adriana Breda, Danyal Farsani
This work aims to identify the criteria to design activities based on problem-solving tasks that emerge when future early childhood education teachers jointly plan their activities and reflect on them. The participants were 76 students from the Didactics of mathematics subject that was carried out in the 2nd year of the Early Childhood Education Degree of a Catalan public university. This is qualitative research in which the phases of the thematic analysis have been adapted: familiarizing with the data; systematically applying the categories to identify the student criteria emerged; triangulating the analysis with experts; reviewing and discussing the results. The Didactic Suitability Criteria (DSC), from the Ontosemiotic approach (OSA) framework to design tasks and their indicators, were used to categorise and analyse the tasks performed by future teachers. As a result, it was identified that when the future teachers adopt consensually design their activities, they are implicitly based on the Didactic Suitability Criteria (DSC). Still, not all their indicators emerge since their reflection is spontaneous and is not guided by an explicit guideline that serves them to show their didactic analysis in detail. The study concludes that it would be convenient to offer future teachers a tool, such as DSC, to have explicit criteria to guide the designs of their mathematical tasks. In this sense, a future line of research opens, much needed, to adapt the DSC to the singularities of this educational stage.
本研究旨在确定未来幼儿教育教师在共同规划和反思活动时出现的基于问题解决任务的活动设计标准。参与者是76名来自加泰罗尼亚一所公立大学幼儿教育学位二年级数学教学的学生。这是一种质性研究,其中调整了专题分析的各个阶段:熟悉数据;系统地应用分类来识别学生的标准;与专家进行三角分析;回顾和讨论结果。教学适宜性标准(DSC),从本体符号学方法(OSA)框架到设计任务及其指标,用于对未来教师执行的任务进行分类和分析。结果表明,当未来教师采用双方同意的方式设计他们的活动时,他们隐含地基于教学适宜性标准(DSC)。然而,并不是所有的指标都出现了,因为他们的反映是自发的,没有一个明确的指导方针来指导他们详细地展示他们的教学分析。该研究的结论是,为未来的教师提供一个工具,如DSC,将有明确的标准来指导他们的数学任务设计,这将是很方便的。从这个意义上说,一条未来的研究路线打开了,非常需要,使DSC适应这个教育阶段的奇点。
{"title":"Future early childhood teachers designing problem-solving activities","authors":"Gemma Sala-Sebastià, Adriana Breda, Danyal Farsani","doi":"10.22342/jme.v13i2.pp239-256","DOIUrl":"https://doi.org/10.22342/jme.v13i2.pp239-256","url":null,"abstract":"This work aims to identify the criteria to design activities based on problem-solving tasks that emerge when future early childhood education teachers jointly plan their activities and reflect on them. The participants were 76 students from the Didactics of mathematics subject that was carried out in the 2nd year of the Early Childhood Education Degree of a Catalan public university. This is qualitative research in which the phases of the thematic analysis have been adapted: familiarizing with the data; systematically applying the categories to identify the student criteria emerged; triangulating the analysis with experts; reviewing and discussing the results. The Didactic Suitability Criteria (DSC), from the Ontosemiotic approach (OSA) framework to design tasks and their indicators, were used to categorise and analyse the tasks performed by future teachers. As a result, it was identified that when the future teachers adopt consensually design their activities, they are implicitly based on the Didactic Suitability Criteria (DSC). Still, not all their indicators emerge since their reflection is spontaneous and is not guided by an explicit guideline that serves them to show their didactic analysis in detail. The study concludes that it would be convenient to offer future teachers a tool, such as DSC, to have explicit criteria to guide the designs of their mathematical tasks. In this sense, a future line of research opens, much needed, to adapt the DSC to the singularities of this educational stage.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85592395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Evaluation of procedural and conceptual knowledge of mathematical functions: A case study from Morocco 数学函数的程序性和概念性知识的评估:来自摩洛哥的案例研究
Q1 Mathematics Pub Date : 2022-05-27 DOI: 10.22342/jme.v13i2.pp211-238
Safâ Qetrani, N. Achtaich
To measure the procedural and conceptual knowledge of functions and to clarify the relationship between them in the context of mathematics education in Morocco, a structural equation modeling (SEM) analysis was used. In addition, correlation tests between students’ grades at their Mathematical Analysis Assessments and their procedural and conceptual knowledge of functions scores were established to investigate whether students' grades mainly reflect their performance on procedural knowledge or conceptual knowledge. The sample consisted of 337 high school Moroccan students. The study findings indicated that a large group of participants scored high in procedural tasks but low in conceptual tasks. Besides, the participants’ grades in their exams correlate much more strongly with the estimated procedural knowledge scores than the estimated conceptual knowledge scores. On the other hand, the confirmatory factor analysis of the SEM confirmed the reliability, validity, and fitness of the measurement model, whereas the path analysis of the SEM supports the genetic view causal relationship that procedural knowledge of functions is necessary but not sufficient condition for conceptual knowledge. These results provide a theoretical foundation for improving mathematics education by working on the content of the assessments, the teachers’ teaching approaches, and the students’ learning strategies.
为了测量函数的程序和概念知识,并澄清在摩洛哥数学教育背景下它们之间的关系,使用了结构方程建模(SEM)分析。此外,建立了学生数学分析评估成绩与功能程序知识和概念知识成绩的相关检验,考察学生的成绩主要反映的是程序知识还是概念知识的表现。样本由337名摩洛哥高中生组成。研究结果表明,大部分参与者在程序性任务中得分较高,但在概念性任务中得分较低。此外,参与者的考试成绩与程序性知识的估计分数的相关性比与概念性知识的估计分数的相关性强得多。另一方面,扫描电镜的验证性因子分析证实了测量模型的信度、效度和适应度,而扫描电镜的通径分析支持遗传观点的因果关系,即功能的程序性知识是概念性知识的必要条件,但不是充分条件。这些结果为从评价内容、教师的教学方法和学生的学习策略等方面改进数学教育提供了理论基础。
{"title":"Evaluation of procedural and conceptual knowledge of mathematical functions: A case study from Morocco","authors":"Safâ Qetrani, N. Achtaich","doi":"10.22342/jme.v13i2.pp211-238","DOIUrl":"https://doi.org/10.22342/jme.v13i2.pp211-238","url":null,"abstract":"To measure the procedural and conceptual knowledge of functions and to clarify the relationship between them in the context of mathematics education in Morocco, a structural equation modeling (SEM) analysis was used. In addition, correlation tests between students’ grades at their Mathematical Analysis Assessments and their procedural and conceptual knowledge of functions scores were established to investigate whether students' grades mainly reflect their performance on procedural knowledge or conceptual knowledge. The sample consisted of 337 high school Moroccan students. The study findings indicated that a large group of participants scored high in procedural tasks but low in conceptual tasks. Besides, the participants’ grades in their exams correlate much more strongly with the estimated procedural knowledge scores than the estimated conceptual knowledge scores. On the other hand, the confirmatory factor analysis of the SEM confirmed the reliability, validity, and fitness of the measurement model, whereas the path analysis of the SEM supports the genetic view causal relationship that procedural knowledge of functions is necessary but not sufficient condition for conceptual knowledge. These results provide a theoretical foundation for improving mathematics education by working on the content of the assessments, the teachers’ teaching approaches, and the students’ learning strategies.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84929035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Prospective teachers’ design of numeracy tasks using a physical distancing context 使用物理距离情境的准教师计算任务设计
Q1 Mathematics Pub Date : 2022-04-15 DOI: 10.22342/jme.v13i2.pp191-210
A. W. Kohar, E. B. Rahaju, Abdur Rohim
Physical distancing, which is widely practiced limiting the spread of COVID-19, is recognized to contain mathematical thoughts that can be harnessed as a context for prospective teachers’ practices of mathematical problem posing. The goal of this study is to investigate the profile of mathematical tasks posed by prospective mathematics teachers using the context of physical distancing that meets the criteria of numeracy tasks. Data were collected from 66 mathematical tasks posed by thirty-three prospective teachers at a public university in Surabaya, Indonesia, attending an assessment course of numeracy based on a problem-posing task. To analyze, the posed tasks were first identified as solvable or unsolvable tasks and then further categorized into the domains of the level of context use and the level of cognitive processes. Results show that the level of context use embedded in the posed tasks varies from zero to first order, with only a few of the posed tasks being coded as having second-order context. Regarding the levels of cognitive processes, most of the posed tasks reach the level of understanding, with only a small number of reasoning tasks identified. Interestingly, all the tasks coded to contain second-order context are classified as reasoning tasks. Some implications regarding designing numeracy tasks using physical distancing and interventions in teacher education related to numeracy task design are discussed.
人们普遍采取保持身体距离的做法来限制COVID-19的传播,这种做法被认为包含数学思想,可以作为未来教师练习数学问题的背景。本研究的目的是在符合数学任务标准的物理距离背景下,调查准数学教师所提出的数学任务的概况。数据收集自印度尼西亚泗水一所公立大学的33名准教师所提出的66项数学任务,这些教师参加了一个基于问题提出任务的计算能力评估课程。首先将所提出的任务划分为可解决任务和不可解决任务,然后将其进一步划分为语境使用水平和认知过程水平。结果表明,在给定任务中嵌入的上下文使用水平从零到一阶不等,只有少数给定任务被编码为具有二阶上下文。在认知过程的层次上,大多数任务都达到了理解的层次,只有少数的推理任务被识别出来。有趣的是,所有编码为包含二阶上下文的任务都被归类为推理任务。本文讨论了在数学任务设计中使用物理距离和教师教育干预来设计数学任务的一些含义。
{"title":"Prospective teachers’ design of numeracy tasks using a physical distancing context","authors":"A. W. Kohar, E. B. Rahaju, Abdur Rohim","doi":"10.22342/jme.v13i2.pp191-210","DOIUrl":"https://doi.org/10.22342/jme.v13i2.pp191-210","url":null,"abstract":"Physical distancing, which is widely practiced limiting the spread of COVID-19, is recognized to contain mathematical thoughts that can be harnessed as a context for prospective teachers’ practices of mathematical problem posing. The goal of this study is to investigate the profile of mathematical tasks posed by prospective mathematics teachers using the context of physical distancing that meets the criteria of numeracy tasks. Data were collected from 66 mathematical tasks posed by thirty-three prospective teachers at a public university in Surabaya, Indonesia, attending an assessment course of numeracy based on a problem-posing task. To analyze, the posed tasks were first identified as solvable or unsolvable tasks and then further categorized into the domains of the level of context use and the level of cognitive processes. Results show that the level of context use embedded in the posed tasks varies from zero to first order, with only a few of the posed tasks being coded as having second-order context. Regarding the levels of cognitive processes, most of the posed tasks reach the level of understanding, with only a small number of reasoning tasks identified. Interestingly, all the tasks coded to contain second-order context are classified as reasoning tasks. Some implications regarding designing numeracy tasks using physical distancing and interventions in teacher education related to numeracy task design are discussed.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74410115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Perspectives on the problem-posing activity by prospective teachers: A cross-national study 准教师问题提出活动的视角:一项跨国研究
Q1 Mathematics Pub Date : 2022-03-19 DOI: 10.22342/jme.v13i1.pp149-172
L. Fitriana, R. Ekawati, Zoltán Kovács
There is an ongoing research interest to disclose factors that influence problem-posing performance by involving cross-national backgrounds. This research extends that effort by conducting a comparative analysis on the performance of Indonesian and Hungarian prospective teachers in a problem-posing task. A total of eighty-three prospective teachers from Indonesia and Hungary were asked to pose a problem based on the current calendar. For more in-depth insights, an interview was conducted with a representative participant. The obtained data were analysed quantitatively using Fisher's exact test and qualitatively in nature. Their mathematical background seems to influence the characteristic of their proposed problem and the solution approach they utilized. The typical tasks proposed by Indonesian prospective teachers are exercise and mostly related to arithmetic operations, while those by Hungarian prospective teachers are challenging problems and generally connected to arithmetic sequences. Moreover, in solving their problems, Indonesians tend to show arithmetic reasoning while Hungarians often denote algebraic reasoning. These disparities might be attributed to the types of problems that each group typically encounters during their mathematics lessons.
通过涉及跨国背景来揭示影响问题提出绩效的因素是一个正在进行的研究兴趣。本研究通过对印度尼西亚和匈牙利准教师在提出问题的任务中的表现进行比较分析,扩展了这一努力。共有83名来自印度尼西亚和匈牙利的未来教师被要求根据当前的日历提出一个问题。为了获得更深入的见解,我们对一位有代表性的参与者进行了采访。所得数据用Fisher精确检验定量分析,定性分析。他们的数学背景似乎影响了他们提出的问题的特点和他们使用的解决方法。印度尼西亚准教师提出的典型任务是练习,主要与算术运算有关,而匈牙利准教师提出的任务是具有挑战性的问题,通常与等差数列有关。此外,在解决问题时,印尼人往往表现出算术推理,而匈牙利人往往表现出代数推理。这些差异可能归因于每个小组在数学课上通常遇到的问题类型。
{"title":"Perspectives on the problem-posing activity by prospective teachers: A cross-national study","authors":"L. Fitriana, R. Ekawati, Zoltán Kovács","doi":"10.22342/jme.v13i1.pp149-172","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp149-172","url":null,"abstract":"There is an ongoing research interest to disclose factors that influence problem-posing performance by involving cross-national backgrounds. This research extends that effort by conducting a comparative analysis on the performance of Indonesian and Hungarian prospective teachers in a problem-posing task. A total of eighty-three prospective teachers from Indonesia and Hungary were asked to pose a problem based on the current calendar. For more in-depth insights, an interview was conducted with a representative participant. The obtained data were analysed quantitatively using Fisher's exact test and qualitatively in nature. Their mathematical background seems to influence the characteristic of their proposed problem and the solution approach they utilized. The typical tasks proposed by Indonesian prospective teachers are exercise and mostly related to arithmetic operations, while those by Hungarian prospective teachers are challenging problems and generally connected to arithmetic sequences. Moreover, in solving their problems, Indonesians tend to show arithmetic reasoning while Hungarians often denote algebraic reasoning. These disparities might be attributed to the types of problems that each group typically encounters during their mathematics lessons.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76222603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Designing geometrical learning activities assisted with ICT media for supporting students’ higher order thinking skills 设计几何学习活动,配合ICT媒体,支持学生的高阶思维能力
Q1 Mathematics Pub Date : 2022-02-21 DOI: 10.22342/jme.v13i1.pp135-148
Meryansumayeka, Zulkardi, R. Putri, C. Hiltrimartin
Students' mastery of geometry topics affects their ability to understand other mathematical topics. In addition, students are required to have higher-order thinking skills. Previous research shows that ICT media played an important role in improving students’ higher-order thinking skills. This study was carried out to produce a cuboid volume learning trajectory in ICT-assisted learning that can support students' higher-order thinking skills. This research employed validation design which consisted of three main stages, namely preliminary, experiment, and retrospective analysis. It was held during two main cycles. Sixty-four students of the eighth-grade in Palembang, Ogan Ilir, Manado, and West Papua were involved as research subjects. Data were collected through validation sheets, observations, interviews, and documents in the form of student worksheets. Then, the data were analyzed qualitatively and described narratively. The learning design developed was able to help students use higher-order thinking skills where students analyzed, evaluated, and used their creativity in answering the problems given. The results of this study can inform the policy making for teachers in designing mathematics learning and for lecturers to carry out mentoring for teachers in designing mathematics learning based on Realistic Mathematics Education (RME) and ICT media.
学生对几何主题的掌握会影响他们理解其他数学主题的能力。此外,要求学生具备高阶思维能力。以往的研究表明,信息通信技术媒体对提高学生的高阶思维能力有重要作用。本研究旨在建立资讯及通讯科技辅助学习的长方体体积学习轨迹,以支持学生的高阶思维能力。本研究采用验证设计,主要分为前期、试验和回顾性分析三个阶段。它在两个主要周期内举行。研究对象包括巨港、奥干伊利、万那陀和西巴布亚的64名八年级学生。通过验证表、观察、访谈和学生工作表形式的文件收集数据。然后,对数据进行定性分析和叙述。开发的学习设计能够帮助学生使用高阶思维技能,学生在分析,评估和使用他们的创造力来回答给定的问题。本研究的结果可以为教师设计数学学习的决策提供参考,也可以为教师基于现实数学教育(RME)和ICT媒介进行数学学习设计的指导提供参考。
{"title":"Designing geometrical learning activities assisted with ICT media for supporting students’ higher order thinking skills","authors":"Meryansumayeka, Zulkardi, R. Putri, C. Hiltrimartin","doi":"10.22342/jme.v13i1.pp135-148","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp135-148","url":null,"abstract":"Students' mastery of geometry topics affects their ability to understand other mathematical topics. In addition, students are required to have higher-order thinking skills. Previous research shows that ICT media played an important role in improving students’ higher-order thinking skills. This study was carried out to produce a cuboid volume learning trajectory in ICT-assisted learning that can support students' higher-order thinking skills. This research employed validation design which consisted of three main stages, namely preliminary, experiment, and retrospective analysis. It was held during two main cycles. Sixty-four students of the eighth-grade in Palembang, Ogan Ilir, Manado, and West Papua were involved as research subjects. Data were collected through validation sheets, observations, interviews, and documents in the form of student worksheets. Then, the data were analyzed qualitatively and described narratively. The learning design developed was able to help students use higher-order thinking skills where students analyzed, evaluated, and used their creativity in answering the problems given. The results of this study can inform the policy making for teachers in designing mathematics learning and for lecturers to carry out mentoring for teachers in designing mathematics learning based on Realistic Mathematics Education (RME) and ICT media.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82380834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
An ePub learning module and students' mathematical reasoning ability: A development study ePub学习模块与学生数学推理能力的发展研究
Q1 Mathematics Pub Date : 2022-02-18 DOI: 10.22342/jme.v13i1.pp103-118
W. Hidayat, E. Rohaeti, Agie Ginanjar, R. Putri
The mathematical reasoning ability is one of the essential hard skills of a student, especially in solving everyday problems. In supporting the achievement of this mathematical reasoning ability, meaningful teaching materials are an essential part of keeping exciting and not dull a learning process. This study aimed to design and develop an e-module in the ePub format with the problem-based learning approach to improve students' mathematical reasoning ability on arithmetic sequences and series concepts. This study used the design research method of development research in two stages—preliminary design and formal evaluation design—with tryouts performed on 32 grade XI students as research subjects. The data collection techniques used were documentation, observation, interviews, and tryouts. Data analysis was carried out quantitatively and qualitatively. The results showed that the e-module developed was valid and practical to improve students' mathematical reasoning ability, especially in solving problems related to sequences and series. The indicators of mathematical reasoning ability better improved using this ePub module were proposing problem-solving assumptions and concluding solutions logically. The development of the e-module in the e-Pub format offers alternative solutions to improve students' mathematical reasoning ability.
数学推理能力是学生必备的硬技能之一,尤其是在解决日常问题时。为了支持这种数学推理能力的实现,有意义的教材是保持学习过程兴奋而不是枯燥的重要组成部分。本研究旨在以问题为基础的学习方法,设计并开发ePub格式的电子模块,以提高学生对等差数列和数列概念的数学推理能力。本研究采用初步设计和正式评价设计两个阶段的开发研究设计研究方法,对32名11年级学生进行了选拔赛作为研究对象。使用的数据收集技术有文献记录、观察、访谈和选拔赛。对数据进行定量和定性分析。结果表明,开发的电子模块对于提高学生的数学推理能力,特别是解决数列问题是有效和实用的。使用该ePub模块提高数学推理能力的指标是提出解决问题的假设和逻辑地得出解决方案。e-Pub格式电子模块的开发为提高学生的数学推理能力提供了另一种解决方案。
{"title":"An ePub learning module and students' mathematical reasoning ability: A development study","authors":"W. Hidayat, E. Rohaeti, Agie Ginanjar, R. Putri","doi":"10.22342/jme.v13i1.pp103-118","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp103-118","url":null,"abstract":"The mathematical reasoning ability is one of the essential hard skills of a student, especially in solving everyday problems. In supporting the achievement of this mathematical reasoning ability, meaningful teaching materials are an essential part of keeping exciting and not dull a learning process. This study aimed to design and develop an e-module in the ePub format with the problem-based learning approach to improve students' mathematical reasoning ability on arithmetic sequences and series concepts. This study used the design research method of development research in two stages—preliminary design and formal evaluation design—with tryouts performed on 32 grade XI students as research subjects. The data collection techniques used were documentation, observation, interviews, and tryouts. Data analysis was carried out quantitatively and qualitatively. The results showed that the e-module developed was valid and practical to improve students' mathematical reasoning ability, especially in solving problems related to sequences and series. The indicators of mathematical reasoning ability better improved using this ePub module were proposing problem-solving assumptions and concluding solutions logically. The development of the e-module in the e-Pub format offers alternative solutions to improve students' mathematical reasoning ability.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91331618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Disrupting school spaces to enhance mathematics teaching and learning 颠覆学校空间,加强数学教与学
Q1 Mathematics Pub Date : 2022-02-17 DOI: 10.22342/jme.v13i1.pp87-102
Z. Jojo, N. Madikizela-Madiya
This paper is based on an argument that the disruption of school spaces can demerit the myth that Mathematics is difficult and a struggle for learners in some contexts. Combining spatial theories and the phenomenon of disruption, the paper reports from a qualitative research project that analyzed the dynamics of space and place in South African schools. From a sample of two secondary schools and three primary schools in Tshwane South, the paper reports on the data from one school where the theme of disruption of school spaces for the teaching of mathematics was drawn. Two Mathematics teachers and one Head of Department (HoD) were interviewed in the school and one classroom was observed. The findings indicate that the disruption of school spaces leads to collaboration across post levels in terms of teaching, management, and personal professional development. Such collaboration disrupts the representations of space and improves teachers’ spatial practices and a potential for better learning. The paper concludes by recommending research that will explore the applicability of the conclusions it makes to the enhancement of Mathematics learners’ results.
这篇论文是基于这样一种观点,即学校空间的破坏可以否定数学很难的神话,并且在某些情况下对学习者来说是一种斗争。结合空间理论和破坏现象,本文报告了一个定性研究项目,分析了南非学校空间和地点的动态。从Tshwane南部的两所中学和三所小学的样本中,本文报告了一所学校的数据,该学校的数学教学空间被破坏的主题被绘制出来。在学校采访了两位数学老师和一位系主任,并对一个教室进行了观察。研究结果表明,学校空间的破坏导致了教学、管理和个人专业发展方面的跨岗位合作。这种合作破坏了空间的表征,改善了教师的空间实践,并有可能更好地学习。最后,本文推荐了一些研究,以探讨其结论对提高数学学习者成绩的适用性。
{"title":"Disrupting school spaces to enhance mathematics teaching and learning","authors":"Z. Jojo, N. Madikizela-Madiya","doi":"10.22342/jme.v13i1.pp87-102","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp87-102","url":null,"abstract":"This paper is based on an argument that the disruption of school spaces can demerit the myth that Mathematics is difficult and a struggle for learners in some contexts. Combining spatial theories and the phenomenon of disruption, the paper reports from a qualitative research project that analyzed the dynamics of space and place in South African schools. From a sample of two secondary schools and three primary schools in Tshwane South, the paper reports on the data from one school where the theme of disruption of school spaces for the teaching of mathematics was drawn. Two Mathematics teachers and one Head of Department (HoD) were interviewed in the school and one classroom was observed. The findings indicate that the disruption of school spaces leads to collaboration across post levels in terms of teaching, management, and personal professional development. Such collaboration disrupts the representations of space and improves teachers’ spatial practices and a potential for better learning. The paper concludes by recommending research that will explore the applicability of the conclusions it makes to the enhancement of Mathematics learners’ results.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89601908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Secondary school teachers’ perceptions of STEM pedagogical content knowledge 中学教师对STEM教学内容知识的认知
Q1 Mathematics Pub Date : 2022-02-17 DOI: 10.22342/jme.v13i1.pp119-134
Noor Anita Rahman, R. Rosli, A. S. Rambely, N. Siregar, M. M. Capraro, R. Capraro
Preparing students with knowledge and expertise in science, technology, engineering, and mathematics (STEM) is vital in meeting the demand for digital age career opportunities. Nevertheless, there is sparse research on teachers' views of student preparedness and teachers' knowledge of STEM in classroom instruction. The present study examines secondary school teachers' perceptions of STEM pedagogical content knowledge (STEMPCK). An online survey was administered to 66 Malaysian secondary school teachers through Google Forms to determine their perspectives of STEMPCK. Data were collected and analyzed using IBM SPSS Statistics Version 20.0. The descriptive analysis showed that the selected teachers highly agreed on the pedagogical knowledge and knowledge of 21st century skill components of STEMPCK. However, the non-parametric analysis showed no significant mean differences in STEMPCK scores based on gender, educational qualification, and teaching experience. The study's implications suggest that teachers in these fields should be equipped with the necessary knowledge to be more confident in implementing STEM teaching in their respective schools.
培养学生在科学、技术、工程和数学(STEM)方面的知识和专业知识,对于满足数字时代职业机会的需求至关重要。然而,关于教师在课堂教学中对学生准备和教师对STEM知识的看法的研究很少。本研究考察了中学教师对STEM教学内容知识(stemck)的认知。通过谷歌表格对66名马来西亚中学教师进行了在线调查,以确定他们对STEMPCK的看法。采用IBM SPSS Statistics Version 20.0进行数据收集和分析。描述性分析显示,被选教师对STEMPCK的教学知识和21世纪技能成分知识的认同程度较高。然而,非参数分析显示,性别、教育程度和教学经验在STEMPCK得分上没有显著的平均差异。该研究的启示表明,这些领域的教师应该具备必要的知识,以便在各自的学校实施STEM教学时更有信心。
{"title":"Secondary school teachers’ perceptions of STEM pedagogical content knowledge","authors":"Noor Anita Rahman, R. Rosli, A. S. Rambely, N. Siregar, M. M. Capraro, R. Capraro","doi":"10.22342/jme.v13i1.pp119-134","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp119-134","url":null,"abstract":"Preparing students with knowledge and expertise in science, technology, engineering, and mathematics (STEM) is vital in meeting the demand for digital age career opportunities. Nevertheless, there is sparse research on teachers' views of student preparedness and teachers' knowledge of STEM in classroom instruction. The present study examines secondary school teachers' perceptions of STEM pedagogical content knowledge (STEMPCK). An online survey was administered to 66 Malaysian secondary school teachers through Google Forms to determine their perspectives of STEMPCK. Data were collected and analyzed using IBM SPSS Statistics Version 20.0. The descriptive analysis showed that the selected teachers highly agreed on the pedagogical knowledge and knowledge of 21st century skill components of STEMPCK. However, the non-parametric analysis showed no significant mean differences in STEMPCK scores based on gender, educational qualification, and teaching experience. The study's implications suggest that teachers in these fields should be equipped with the necessary knowledge to be more confident in implementing STEM teaching in their respective schools.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74691525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
期刊
Journal on Mathematics Education
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1