Pub Date : 2022-12-25DOI: 10.22342/jme.v13i4.pp661-680
Wiryanto, M. G. Primaniarta, Roberto Linhares de Mattos
Tedhak Siten is a Javanese traditional ceremony that marks the 8th month of the baby’s age, marked by the baby's readiness to set foot on the ground. This tradition has a philosophical meaning with Javanese cultural values related to the concepts of calculating the ceremony time and the geometric shape of the ceremonial equipment used. The purpose of this study was to explore the cultural activities of the Javanese community by outlining the mathematical concepts contained in the implementation of the Tedhak Siten ceremony. This research was a qualitatively descriptive study through an ethnographic approach. Ethnomathematical data were collected from two experts those were the head of a traditional Javanese culture studio and a cultural actor active as a leader of Javanese traditional ceremonies. The ethnomathematics found in the study were counting the date or time for the implementation of the Tedhak Siten tradition and the elaboration of geometric concepts in the form of ceremonial equipment used to perform traditional customary procedures. This research had an impact as a mathematics learning material that originated from the wisdom of the local Javanese community by applying the concepts of time units, least common multiples, modulo 5, modulo 7, circles, triangles, rectangles, cylindrical volumes and spherical volumes.
{"title":"Javanese ethnomathematics: Exploration of the Tedhak Siten tradition for class learning practices","authors":"Wiryanto, M. G. Primaniarta, Roberto Linhares de Mattos","doi":"10.22342/jme.v13i4.pp661-680","DOIUrl":"https://doi.org/10.22342/jme.v13i4.pp661-680","url":null,"abstract":"Tedhak Siten is a Javanese traditional ceremony that marks the 8th month of the baby’s age, marked by the baby's readiness to set foot on the ground. This tradition has a philosophical meaning with Javanese cultural values related to the concepts of calculating the ceremony time and the geometric shape of the ceremonial equipment used. The purpose of this study was to explore the cultural activities of the Javanese community by outlining the mathematical concepts contained in the implementation of the Tedhak Siten ceremony. This research was a qualitatively descriptive study through an ethnographic approach. Ethnomathematical data were collected from two experts those were the head of a traditional Javanese culture studio and a cultural actor active as a leader of Javanese traditional ceremonies. The ethnomathematics found in the study were counting the date or time for the implementation of the Tedhak Siten tradition and the elaboration of geometric concepts in the form of ceremonial equipment used to perform traditional customary procedures. This research had an impact as a mathematics learning material that originated from the wisdom of the local Javanese community by applying the concepts of time units, least common multiples, modulo 5, modulo 7, circles, triangles, rectangles, cylindrical volumes and spherical volumes.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90613558","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}
Pub Date : 2022-12-16DOI: 10.22342/jme.v13i4.pp605-630
Simone Jablonski, M. Ludwig
Mathematical arguments are central components of mathematics and play a role in certain types of modelling of potential mathematical giftedness. However, particular characteristics of arguments are interpreted differently in the context of mathematical giftedness. Some models of giftedness see no connection, whereas other models consider the formulation of complete and plausible arguments as a partial aspect of giftedness. Furthermore, longitudinal changes in argumentation characteristics remain open. This leads to the research focus of this article, which is to identify and describe the changes of argumentation products in potentially mathematically gifted children over a longer period. For this purpose, the argumentation products of children from third to sixth grade are collected throughout a longitudinal study and examined with respect to the use of examples and generalizations. The analysis of all products results in six different types of changes in the characteristics of the argumentation products identified over the survey period and case studies are used to illustrate student use of examples and generalizations of these types. This not only reveals the general importance of the use of examples in arguments. For one type, an increase in generalized arguments can be observed over the survey period. The article will conclude with a discussion of the role of argument characteristics in describing potential mathematical giftedness.
{"title":"Examples and generalizations in mathematical reasoning – A study with potentially mathematically gifted children","authors":"Simone Jablonski, M. Ludwig","doi":"10.22342/jme.v13i4.pp605-630","DOIUrl":"https://doi.org/10.22342/jme.v13i4.pp605-630","url":null,"abstract":"Mathematical arguments are central components of mathematics and play a role in certain types of modelling of potential mathematical giftedness. However, particular characteristics of arguments are interpreted differently in the context of mathematical giftedness. Some models of giftedness see no connection, whereas other models consider the formulation of complete and plausible arguments as a partial aspect of giftedness. Furthermore, longitudinal changes in argumentation characteristics remain open. This leads to the research focus of this article, which is to identify and describe the changes of argumentation products in potentially mathematically gifted children over a longer period. For this purpose, the argumentation products of children from third to sixth grade are collected throughout a longitudinal study and examined with respect to the use of examples and generalizations. The analysis of all products results in six different types of changes in the characteristics of the argumentation products identified over the survey period and case studies are used to illustrate student use of examples and generalizations of these types. This not only reveals the general importance of the use of examples in arguments. For one type, an increase in generalized arguments can be observed over the survey period. The article will conclude with a discussion of the role of argument characteristics in describing potential mathematical giftedness.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87225882","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}
Pub Date : 2022-12-11DOI: 10.22342/jme.v13i4.pp587-604
I. K. Amalina, T. Vidákovich
Science, technology, engineering, and mathematics (STEM) problem-solving is necessary to be infused into the classroom. Nevertheless, the criticism of underrepresented mathematics in STEM problem-solving assessment is an issue. In this study, we develop and investigate the psychometric evidence of an integrated STEM-based mathematical problem-solving test. The product of the test was a mathematical essay test that contains three scientific scenarios related to the environment in every middle school grade. The mathematical contents were integrated into engineering-based design using the technology. Three experts filled an assessment sheet to assess content validity, which was analyzed using a content validity index (CVI) and intraclass correlation coefficient (ICC). The result of content validity revealed that overall items were valid and reliable. The construct validity was examined using the Rasch analysis from the data of Grades 7–9 students in Indonesia (n = 286). The construct of all scenarios and prompting items indicated fit with various difficulty levels and acceptable discrimination value. Nevertheless, four prompting items were reported as misfit based on unweighted mean square value. The recommendation for improvement is emphasized in the language clarity aspect. The inter-rater reliability was also declared good. A further study is suggested to provide a computer-based test.
{"title":"An integrated STEM-based mathematical problem-solving test: Developing and reporting psychometric evidence","authors":"I. K. Amalina, T. Vidákovich","doi":"10.22342/jme.v13i4.pp587-604","DOIUrl":"https://doi.org/10.22342/jme.v13i4.pp587-604","url":null,"abstract":"Science, technology, engineering, and mathematics (STEM) problem-solving is necessary to be infused into the classroom. Nevertheless, the criticism of underrepresented mathematics in STEM problem-solving assessment is an issue. In this study, we develop and investigate the psychometric evidence of an integrated STEM-based mathematical problem-solving test. The product of the test was a mathematical essay test that contains three scientific scenarios related to the environment in every middle school grade. The mathematical contents were integrated into engineering-based design using the technology. Three experts filled an assessment sheet to assess content validity, which was analyzed using a content validity index (CVI) and intraclass correlation coefficient (ICC). The result of content validity revealed that overall items were valid and reliable. The construct validity was examined using the Rasch analysis from the data of Grades 7–9 students in Indonesia (n = 286). The construct of all scenarios and prompting items indicated fit with various difficulty levels and acceptable discrimination value. Nevertheless, four prompting items were reported as misfit based on unweighted mean square value. The recommendation for improvement is emphasized in the language clarity aspect. The inter-rater reliability was also declared good. A further study is suggested to provide a computer-based test.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89001068","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}
Pub Date : 2022-12-11DOI: 10.22342/jme.v13i4.pp565-586
P. Pramudiani, T. Herman, Turmudi, M. Dolk, M. Doorman
Understanding of fractions is difficult for Indonesian students. This often leads to misinterpretation in solving fractional problems. In this study, a task aiming at identifying students’ struggles in understanding the basic concept of part-whole relationships in fractions was developed and tested with six 4th-grade students. The task uses Indonesian sweet food, martabak, that has a rounded pizza-like shape as a context in which one slice was missing. Realistic Mathematics Education underlies the context designed, that was also inspired by the Dutch textbook Alles telt Q Basiswerkschrift. The study used a qualitative methodology through an interview, observation, and written test. The result of this study indicated that the students’ struggles can be identified as follows: making references to the whole, making references to the complete partition, and making sense of the incomplete partition. The study showed that the designed tasks have potentials to provoke students' reasoning in learning fractions. The findings indicate that when students learn fractions, their understanding of the meaning of fractions should be well addressed with problems that challenge this part-whole relationship. Challenging this relationship can be supported with problems that have some ambiguity about what is the ‘whole’ using the missing part context.
对印尼学生来说，理解分数是很困难的。这常常导致在解决分数问题时产生误解。本研究以六名四年级学生为研究对象，设计了一项任务，旨在识别学生在理解分数中部分-整体关系的基本概念时遇到的困难。这项任务使用了印度尼西亚的甜味食物martabak，它有一个圆形的披萨形状，作为缺少一片的背景。现实数学教育的基础是设计的背景，这也受到了荷兰教科书Alles telt Q Basiswerkschrift的启发。本研究采用访谈、观察、笔试等定性方法。本研究的结果表明，学生的挣扎可以识别为:参照整体、参照完整分割、理解不完整分割。研究表明，所设计的任务具有激发学生学习分数推理能力的潜力。研究结果表明，当学生学习分数时，他们对分数意义的理解应该很好地解决挑战这种部分-整体关系的问题。挑战这种关系可以通过使用缺失的部分上下文对什么是“整体”有一些模糊的问题来支持。
{"title":"How does a missing part become important for primary school students in understanding fractions?","authors":"P. Pramudiani, T. Herman, Turmudi, M. Dolk, M. Doorman","doi":"10.22342/jme.v13i4.pp565-586","DOIUrl":"https://doi.org/10.22342/jme.v13i4.pp565-586","url":null,"abstract":"Understanding of fractions is difficult for Indonesian students. This often leads to misinterpretation in solving fractional problems. In this study, a task aiming at identifying students’ struggles in understanding the basic concept of part-whole relationships in fractions was developed and tested with six 4th-grade students. The task uses Indonesian sweet food, martabak, that has a rounded pizza-like shape as a context in which one slice was missing. Realistic Mathematics Education underlies the context designed, that was also inspired by the Dutch textbook Alles telt Q Basiswerkschrift. The study used a qualitative methodology through an interview, observation, and written test. The result of this study indicated that the students’ struggles can be identified as follows: making references to the whole, making references to the complete partition, and making sense of the incomplete partition. The study showed that the designed tasks have potentials to provoke students' reasoning in learning fractions. The findings indicate that when students learn fractions, their understanding of the meaning of fractions should be well addressed with problems that challenge this part-whole relationship. Challenging this relationship can be supported with problems that have some ambiguity about what is the ‘whole’\u0000using the missing part context.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81896095","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}
Pub Date : 2022-11-30DOI: 10.22342/jme.v13i3.pp549-564
R. Putri, Zulkardi, Arini Dyah Riskanita
This descriptive research aimed to know students' problem-solving ability in arithmetic operations on algebra forms through an Indonesian realistic mathematics education, namely Pendidikan Matematika Realistik Indonesia (PMRI), approach in secondary school number 17 Palembang. The learning process, material, and assessment used were principles and characteristics of PMRI. The data collection technique was done by two students' activities and the written test to measure students' problem-solving abilities. The written test, which referred to the indicators of problem-solving ability, was given after the learning process. This study's findings indicate that Palembang's context helps students comprehend algebraic arithmetic operations. The principles and characteristics of PMRI play an essential role in enhancing students' problem-solving skills. To conclude, students develop and solve problems by modeling based on their mathematical ideas. In addition, students must be able to develop problem-solving strategies in which they employ a variety of procedures.
本描述性研究旨在通过在Palembang第17中学的印尼现实数学教育，即Pendidikan Matematika Realistik Indonesia (PMRI)方法，了解学生解决代数形式算术运算的能力。学习过程、材料和评估是PMRI的原则和特点。数据收集技术是通过两个学生的活动和笔试来衡量学生解决问题的能力。在学习过程结束后进行笔试，考察学生解决问题能力的指标。本研究的结果表明，巨港的背景有助于学生理解代数算术运算。PMRI的原理和特点对提高学生的问题解决能力起着至关重要的作用。综上所述，学生根据他们的数学思想建立模型来发展和解决问题。此外，学生必须能够制定解决问题的策略，其中他们采用各种程序。
{"title":"Students’ problem-solving ability in solving algebra tasks using the context of Palembang","authors":"R. Putri, Zulkardi, Arini Dyah Riskanita","doi":"10.22342/jme.v13i3.pp549-564","DOIUrl":"https://doi.org/10.22342/jme.v13i3.pp549-564","url":null,"abstract":"This descriptive research aimed to know students' problem-solving ability in arithmetic operations on algebra forms through an Indonesian realistic mathematics education, namely Pendidikan Matematika Realistik Indonesia (PMRI), approach in secondary school number 17 Palembang. The learning process, material, and assessment used were principles and characteristics of PMRI. The data collection technique was done by two students' activities and the written test to measure students' problem-solving abilities. The written test, which referred to the indicators of problem-solving ability, was given after the learning process. This study's findings indicate that Palembang's context helps students comprehend algebraic arithmetic operations. The principles and characteristics of PMRI play an essential role in enhancing students' problem-solving skills. To conclude, students develop and solve problems by modeling based on their mathematical ideas. In addition, students must be able to develop problem-solving strategies in which they employ a variety of procedures.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90942091","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}
Pub Date : 2022-11-29DOI: 10.22342/jme.v13i3.pp531-548
R. Soesanto, K. Dirgantoro, N. Priyanti
The pandemic has indeed provided students and teachers worldwide with the experience of technology-infused teaching. Even though the pandemic is almost over, the utilization of technology in mathematics education is still needed and inseparable. Relying on cross-sectional design and phenomenological approach, this research investigates senior high school students' perceptions towards AI-based learning, particularly about their understanding and suggestions towards AI-based learning in mathematics in the context of post-pandemic. The participants of the study were 107 students coming from several islands in Indonesia, ranging from grade 10-12, with an age interval of 15-18 years old. The instruments used were the questionaries with open-ended questions in Microsoft forms distributed to mathematics teachers in several WhatsApp groups. The data were then analyzed through a multistage descriptive and pattern coding process. The findings showed that students need to be facilitated with AI, which can display understandable visualization and provide guidance to solve mathematical problems. It is expected that the present study's findings offer researchers in Indonesia and abroad to disseminate and/or implement AI learning in the form of Intelligent Tutoring Systems.
{"title":"Indonesian students’ perceptions towards AI-based learning in mathematics","authors":"R. Soesanto, K. Dirgantoro, N. Priyanti","doi":"10.22342/jme.v13i3.pp531-548","DOIUrl":"https://doi.org/10.22342/jme.v13i3.pp531-548","url":null,"abstract":"The pandemic has indeed provided students and teachers worldwide with the experience of technology-infused teaching. Even though the pandemic is almost over, the utilization of technology in mathematics education is still needed and inseparable. Relying on cross-sectional design and phenomenological approach, this research investigates senior high school students' perceptions towards AI-based learning, particularly about their understanding and suggestions towards AI-based learning in mathematics in the context of post-pandemic. The participants of the study were 107 students coming from several islands in Indonesia, ranging from grade 10-12, with an age interval of 15-18 years old. The instruments used were the questionaries with open-ended questions in Microsoft forms distributed to mathematics teachers in several WhatsApp groups. The data were then analyzed through a multistage descriptive and pattern coding process. The findings showed that students need to be facilitated with AI, which can display understandable visualization and provide guidance to solve mathematical problems. It is expected that the present study's findings offer researchers in Indonesia and abroad to disseminate and/or implement AI learning in the form of Intelligent Tutoring Systems.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80008262","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}
Pub Date : 2022-11-28DOI: 10.22342/jme.v13i3.pp515-530
Antonio González, José María Gavilán-Izquierdo, Inés Gallego-Sánchez, M. L. Puertas
The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of reasoning whose descriptors need to be validated according to the structure of this model. In this paper, the validity of these descriptors has been approached with a theoretical analysis that is organized by means of the so-called processes of reasoning, which are different mathematics abilities that students activate when solving graph theory problems: recognition, use and formulation of definitions, classification, and proof. The analysis gives support to the internal validity of the levels of reasoning in graph theory as the properties of the Van Hiele levels have been verified: fixed sequence, adjacency, distinction, and separation. Moreover, the external validity of the levels has been supported by providing evidence of their coherence with the levels of geometrical reasoning from which they originally emerge. The results thus point to the suitability of applying the Van Hiele model in the teaching and learning of graph theory.
{"title":"A theoretical analysis of the validity of the Van Hiele levels of reasoning in graph theory","authors":"Antonio González, José María Gavilán-Izquierdo, Inés Gallego-Sánchez, M. L. Puertas","doi":"10.22342/jme.v13i3.pp515-530","DOIUrl":"https://doi.org/10.22342/jme.v13i3.pp515-530","url":null,"abstract":"\u0000The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of reasoning whose descriptors need to be validated according to the structure of this model. In this paper, the validity of these descriptors has been approached with a theoretical analysis that is organized by means of the so-called processes of reasoning, which are different mathematics abilities that students activate when solving graph theory problems: recognition, use and formulation of definitions, classification, and proof. The analysis gives support to the internal validity of the levels of reasoning in graph theory as the properties of the Van Hiele levels have been verified: fixed sequence, adjacency, distinction, and separation. Moreover, the external validity of the levels has been supported by providing evidence of their coherence with the levels of geometrical reasoning from which they originally emerge. The results thus point to the suitability of applying the Van Hiele model in the teaching and learning of graph theory.\u0000","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"106 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80680459","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}
Pub Date : 2022-11-26DOI: 10.22342/jme.v13i3.pp499-514
R. H. Rusiyanti, Zulkardi, R. Putri, Somakim
Teachers' academic and professional competencies significantly improve the quality of their learning. An ongoing process is needed to support and develop their quality. This study developed a learning environment through the Realistic Mathematics Education (RME)-based Lesson Study for Learning Community (LSLC) for high school mathematics teachers. The model is valid and practical and potentially affects the learning quality of high school mathematics teachers. The research employed a design research method of development studies was conducted in three stages: the preliminary stage, the development or prototyping stage, and the assessment stage. Prototyping development is a formative evaluation in which the phases include self-evaluation, expert review, one-to-one, small group, and field tests. The research subjects were 15 high school mathematics teachers from four schools in Palembang. Data was collected through questionnaires, observation, and documentation. The research has resulted in a valid and practical teachers’ working group-learning community-class model that potentially affects high school, mathematics teachers. The learning environment is in the form of training in working groups for mathematics teachers, teacher mentoring in learning communities in schools, and teacher assessment learning processes in the classroom. The learning tools were produced using the RME-based LSLC system. The data analysis shows that the learning environment using the RME-based LSLC model can make high school mathematics teachers significantly understand learning, design learning tools, carry out learning, and evaluate learning. Consequently, the teachers’ academic competence and professionalism significantly improve their learning.
{"title":"Developing RME-based lesson study for learning community in the learning environment of high school mathematics teachers","authors":"R. H. Rusiyanti, Zulkardi, R. Putri, Somakim","doi":"10.22342/jme.v13i3.pp499-514","DOIUrl":"https://doi.org/10.22342/jme.v13i3.pp499-514","url":null,"abstract":"Teachers' academic and professional competencies significantly improve the quality of their learning. An ongoing process is needed to support and develop their quality. This study developed a learning environment through the Realistic Mathematics Education (RME)-based Lesson Study for Learning Community (LSLC) for high school mathematics teachers. The model is valid and practical and potentially affects the learning quality of high school mathematics teachers. The research employed a design research method of development studies was conducted in three stages: the preliminary stage, the development or prototyping stage, and the assessment stage. Prototyping development is a formative evaluation in which the phases include self-evaluation, expert review, one-to-one, small group, and field tests. The research subjects were 15 high school mathematics teachers from four schools in Palembang. Data was collected through questionnaires, observation, and documentation. The research has resulted in a valid and practical teachers’ working group-learning community-class model that potentially affects high school, mathematics teachers. The learning environment is in the form of training in working groups for mathematics teachers, teacher mentoring in learning communities in schools, and teacher assessment learning processes in the classroom. The learning tools were produced using the RME-based LSLC system. The data analysis shows that the learning environment using the RME-based LSLC model can make high school mathematics teachers significantly understand learning, design learning tools, carry out learning, and evaluate learning. Consequently, the teachers’ academic competence and professionalism significantly improve their learning.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77049031","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}
Pub Date : 2022-11-25DOI: 10.22342/jme.v13i3.pp479-498
Y. Harisman, F. Dwina, F. Tasman
This study aims to design case-based learning with lesson study learning trajectory with the help of teaching aids to make students understand Prim’s, Cruscal’s, and Djiksra’s Algorithms. The validation study was selected because it is a suitable method for this research. The research subjects were 41 Mathematics Education Study Program Students at Universitas Negeri Padang. This research data were collected using Interview guidelines, journals, and observation sheets. Data analysis was carried out by transcribing interviews, reducing, presenting, and drawing conclusions from the data. A lesson study was chosen as an alternative to improve and reflect on the learning process. Moreover, two expert lecturers supervised the groups during the learning process. A proper design of case-based learning with lesson study learning trajectory with the help of teaching aids development process is obtained. Using a case-based learning method can make students understand Prim’s, Cruscal’s, and Djiksra’s Algorithms. This design can be used by the other lecturers to provide a learning process of Prim’s, Cruscal’s, and Djiksra’s Algorithms or other topics.
{"title":"Lecturer professionalism: Local problems with the help of teaching aids to make students understand Prim’s, Cruscal’s, and Djiksra’s algorithms","authors":"Y. Harisman, F. Dwina, F. Tasman","doi":"10.22342/jme.v13i3.pp479-498","DOIUrl":"https://doi.org/10.22342/jme.v13i3.pp479-498","url":null,"abstract":"This study aims to design case-based learning with lesson study learning trajectory with the help of teaching aids to make students understand Prim’s, Cruscal’s, and Djiksra’s Algorithms. The validation study was selected because it is a suitable method for this research. The research subjects were 41 Mathematics Education Study Program Students at Universitas Negeri Padang. This research data were collected using Interview guidelines, journals, and observation sheets. Data analysis was carried out by transcribing interviews, reducing, presenting, and drawing conclusions from the data. A lesson study was chosen as an alternative to improve and reflect on the learning process. Moreover, two expert lecturers supervised the groups during the learning process. A proper design of case-based learning with lesson study learning trajectory with the help of teaching aids development process is obtained. Using a case-based learning method can make students understand Prim’s, Cruscal’s, and Djiksra’s Algorithms. This design can be used by the other lecturers to provide a learning process of Prim’s, Cruscal’s, and Djiksra’s Algorithms or other topics.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87979914","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}
Pub Date : 2022-11-22DOI: 10.22342/jme.v13i3.pp465-478
V. Díaz, Luisa F. Castro, Pamela del Río
Research in mathematics education has shown that individuals' beliefs play a fundamental role in their responses to and interest in mathematics and their application of these beliefs in real-life situations. Although the literature related to the affective domain in general, and beliefs in particular, has explored the relationship between beliefs and student educational level, there still needs to be a research gap regarding the empirical testing of this variable in the context of secondary mathematics education in Chile. Therefore, the present study, with a quantitative and exploratory methodology, aims to fill this gap by adapting the Mathematics-Related Beliefs Questionnaire MRBQ to describe and analyze students' beliefs in mathematics at two levels of secondary education. The main results of the study indicate that mostly positive beliefs are observed in the three types of beliefs studied: Beliefs about the social context, about self-concept, and mathematics education, highlighting the dimension of beliefs about the social context or classroom environment, in which students showed a highly positive perception of the role of the mathematics teacher.
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