Pub Date : 2023-04-01DOI: 10.22342/jme.v14i2.pp275-292
E. Rohaeti, Brian R. Evans, Toyo Wiyatno, R. C. I. Prahmana, W. Hidayat
Equations are often used in mathematics and other subjects, which means that a media can teach students how to solve equations, particularly linear equations of two variables, or Sistem Persamaan Linear Dua Variabel (SPLDV) as it is called in Indonesian, is needed. However, most teachers are still focused on developing the learning process and teaching materials rather than developing an application technology-based learning media. As we know that technology-based learning is currently the focus of teaching and learning activities in the digital era, especially learning after the pandemic. This study aimed to develop an application that can be a reference for teaching media in learning activities to improve students’ mathematical understanding and ability. The developed application is named, Integrated and Convenient Android-based Simulation or Simulasi Android Terpadu dan Nyaman, abbreviated as SANTUY. This development study with Analysis, Design, Development, Implementation, and Evaluation (ADDIE) model, explained in detail in the paper, took seventy-five subjects consisting of six expert validators, nine users, and sixty students. The expert validators comprised three media experts and three material experts. The evaluation stage involved students from two groups, each consisting of thirty students. The results showed that the average percentage of the feasibility of the SANTUY SPLDV solution simulation-assisted application with differential learning nuance was 79.62%, which means the application is adequate. The level of usefulness of the SANTUY SPLDV solution simulation-assisted application with differential learning nuance was 86.11%, which is categorized as “excellent”. In addition, using the SANTUY SPLDV application had a direct positive influence on improving students’ mathematical understanding and ability.
方程式经常用于数学和其他学科，这意味着媒体可以教学生如何解决方程，特别是两个变量的线性方程，或印尼语称为system Persamaan linear Dua Variabel (SPLDV)。然而，大多数教师仍然专注于开发学习过程和教材，而不是开发基于应用技术的学习媒体。众所周知，基于技术的学习是当前数字时代教与学活动的重点，特别是疫情后的学习。本研究旨在开发一个应用程序，为教学媒体在学习活动中提高学生的数学理解和能力提供参考。开发的应用程序被命名为基于Android的集成和便捷仿真或Simulasi Android Terpadu dan Nyaman，缩写为SANTUY。论文中详细解释了这个具有分析、设计、开发、实现和评估(ADDIE)模型的开发研究，它采用了75个主题，包括6个专家验证者、9个用户和60个学生。专家审定人员由三名媒体专家和三名材料专家组成。评估阶段包括两组学生，每组30名学生。结果表明，SANTUY SPLDV溶液模拟辅助差分学习细微差别应用的平均可行性百分比为79.62%，说明该应用是足够的。SANTUY SPLDV解决方案模拟辅助应用程序与差分学习细微差别的有用性水平为86.11%，被归类为“优秀”。此外，使用SANTUY SPLDV应用程序对提高学生的数学理解和能力有直接的积极影响。
{"title":"Differential learning assisted with SANTUY mobile application for improving students’ mathematical understanding and ability","authors":"E. Rohaeti, Brian R. Evans, Toyo Wiyatno, R. C. I. Prahmana, W. Hidayat","doi":"10.22342/jme.v14i2.pp275-292","DOIUrl":"https://doi.org/10.22342/jme.v14i2.pp275-292","url":null,"abstract":"Equations are often used in mathematics and other subjects, which means that a media can teach students how to solve equations, particularly linear equations of two variables, or Sistem Persamaan Linear Dua Variabel (SPLDV) as it is called in Indonesian, is needed. However, most teachers are still focused on developing the learning process and teaching materials rather than developing an application technology-based learning media. As we know that technology-based learning is currently the focus of teaching and learning activities in the digital era, especially learning after the pandemic. This study aimed to develop an application that can be a reference for teaching media in learning activities to improve students’ mathematical understanding and ability. The developed application is named, Integrated and Convenient Android-based Simulation or Simulasi Android Terpadu dan Nyaman, abbreviated as SANTUY. This development study with Analysis, Design, Development, Implementation, and Evaluation (ADDIE) model, explained in detail in the paper, took seventy-five subjects consisting of six expert validators, nine users, and sixty students. The expert validators comprised three media experts and three material experts. The evaluation stage involved students from two groups, each consisting of thirty students. The results showed that the average percentage of the feasibility of the SANTUY SPLDV solution simulation-assisted application with differential learning nuance was 79.62%, which means the application is adequate. The level of usefulness of the SANTUY SPLDV solution simulation-assisted application with differential learning nuance was 86.11%, which is categorized as “excellent”. In addition, using the SANTUY SPLDV application had a direct positive influence on improving students’ mathematical understanding and ability.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86220839","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 : 2023-03-27DOI: 10.22342/jme.v14i2.pp253-274
Lisnani, Ratu Ilma, I. Putri, Somakim
This study aims to develop a valid, practical, and which has potential effect web-based realistic mathematics learning environment with the six cultural contexts of the island of Sumatera. The learning environment has the potential to positively impact primary school students. The study employed design research method, which encompassed the preliminary, design, and assessment stages using the Kirkpatrick model. The research subjects consisted of three model teachers and 57 fourth-grade students. Research data was collected through observation, documentation, questionnaires, interviews, and tests. The web-based learning environment's validity level was found to be very high, with a score of 3.32, while practicality was rated at 3.86. The potential effects of the environment on mathematics learning were also deemed to be significant, with a score of 77.35. It was designed to facilitate the teaching and learning of mathematics by the PMRI approach, with a focus on topics such as numbering, geometry, and measurement, while also developing 21st-century skills.
{"title":"Web-based realistic mathematics learning environment for 21st-century skills in primary school students","authors":"Lisnani, Ratu Ilma, I. Putri, Somakim","doi":"10.22342/jme.v14i2.pp253-274","DOIUrl":"https://doi.org/10.22342/jme.v14i2.pp253-274","url":null,"abstract":"This study aims to develop a valid, practical, and which has potential effect web-based realistic mathematics learning environment with the six cultural contexts of the island of Sumatera. The learning environment has the potential to positively impact primary school students. The study employed design research method, which encompassed the preliminary, design, and assessment stages using the Kirkpatrick model. The research subjects consisted of three model teachers and 57 fourth-grade students. Research data was collected through observation, documentation, questionnaires, interviews, and tests. The web-based learning environment's validity level was found to be very high, with a score of 3.32, while practicality was rated at 3.86. The potential effects of the environment on mathematics learning were also deemed to be significant, with a score of 77.35. It was designed to facilitate the teaching and learning of mathematics by the PMRI approach, with a focus on topics such as numbering, geometry, and measurement, while also developing 21st-century skills.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91391482","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 : 2023-03-26DOI: 10.22342/jme.v14i2.pp225-252
Y. Helsa, Turmudi, D. Juandi
Hybrid learning implementation is closely related with technology. In designing hybrid lessons, lecturers need to have both the pedagogical and content-related skills that make the best use of technology so that it also improves the students’ skills, including their computational thinking skills. The purpose of this research is to examine whether a hybrid learning model based on Technology Pedagogy and Content Knowledge (TPACK) affects the computational thinking skills achievement in a valid, practical, and effective manner. This research is development research using the Plomp’s model and is described in a qualitative descriptive manner. The participants were lecturers and 38 first-year students at Primary School Teacher Education Study Program of Padang State University. The instruments were validation sheets, practicality assessment sheets by lecturers, questionnaire sheets for students, and computational thinking skills test questions. The results of the validity test show that in terms of content, language, and e-learning practice, they all met very valid criteria with an average percentage score of 85.9%, 86.2%, and 84.1%, respectively. The practicality test results of model handbooks, Semester Lesson Plans, Lecture Program Units, computational thinking questions, additional material, and e-learning model meet the practical criteria with an average percentage score of 77.5%, 86.8%, 89.1%, 83.8%, 79%, and 82.4%, respectively. The average percentage of student assessment scores is 82.9% and meets the practical criteria. The results of the effectiveness test showed that 21.9% of students had reached the moderate level, 6.3% reached the low level, and 71.9% reached the very low level. This study recommends future researchers to develop a hybrid learning model based on TPACK to achieve other 21st-century abilities.
{"title":"TPACK-based hybrid learning model design for computational thinking skills achievement in mathematics","authors":"Y. Helsa, Turmudi, D. Juandi","doi":"10.22342/jme.v14i2.pp225-252","DOIUrl":"https://doi.org/10.22342/jme.v14i2.pp225-252","url":null,"abstract":"Hybrid learning implementation is closely related with technology. In designing hybrid lessons, lecturers need to have both the pedagogical and content-related skills that make the best use of technology so that it also improves the students’ skills, including their computational thinking skills. The purpose of this research is to examine whether a hybrid learning model based on Technology Pedagogy and Content Knowledge (TPACK) affects the computational thinking skills achievement in a valid, practical, and effective manner. This research is development research using the Plomp’s model and is described in a qualitative descriptive manner. The participants were lecturers and 38 first-year students at Primary School Teacher Education Study Program of Padang State University. The instruments were validation sheets, practicality assessment sheets by lecturers, questionnaire sheets for students, and computational thinking skills test questions. The results of the validity test show that in terms of content, language, and e-learning practice, they all met very valid criteria with an average percentage score of 85.9%, 86.2%, and 84.1%, respectively. The practicality test results of model handbooks, Semester Lesson Plans, Lecture Program Units, computational thinking questions, additional material, and e-learning model meet the practical criteria with an average percentage score of 77.5%, 86.8%, 89.1%, 83.8%, 79%, and 82.4%, respectively. The average percentage of student assessment scores is 82.9% and meets the practical criteria. The results of the effectiveness test showed that 21.9% of students had reached the moderate level, 6.3% reached the low level, and 71.9% reached the very low level. This study recommends future researchers to develop a hybrid learning model based on TPACK to achieve other 21st-century abilities.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86585824","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 : 2023-03-25DOI: 10.22342/jme.v14i2.pp205-224
Hikmawati Pathuddin, Kamariah, Andi Mariani
Culture plays an essential role in the emergence and development of mathematics; hence, both are inseparable. Mathematics emerges from the daily activities of a group of people, and although its concepts have been applied traditionally since time immemorial, it has not reached the level of formal usage. One cultural activity involving mathematical concepts is the use of Pananrang in determining the right farming seasons despite not having a formal education. Therefore, this research explores mathematical concepts in Pananrang, which are used as a reference for the Buginese community's farming system. This is qualitative research comprising an ethnographic approach with data collected through literature research and interviews with informants with expertise in Pananrang. The results showed that the community used mathematical concepts, such as multiplication, addition, and modular arithmetic, to determine the proper farming seasons. These outcomes can be socialized and used as a contextual learning resource.
{"title":"Ethnomathematics of Pananrang: A guidance of traditional farming system of the Buginese community","authors":"Hikmawati Pathuddin, Kamariah, Andi Mariani","doi":"10.22342/jme.v14i2.pp205-224","DOIUrl":"https://doi.org/10.22342/jme.v14i2.pp205-224","url":null,"abstract":"Culture plays an essential role in the emergence and development of mathematics; hence, both are inseparable. Mathematics emerges from the daily activities of a group of people, and although its concepts have been applied traditionally since time immemorial, it has not reached the level of formal usage. One cultural activity involving mathematical concepts is the use of Pananrang in determining the right farming seasons despite not having a formal education. Therefore, this research explores mathematical concepts in Pananrang, which are used as a reference for the Buginese community's farming system. This is qualitative research comprising an ethnographic approach with data collected through literature research and interviews with informants with expertise in Pananrang. The results showed that the community used mathematical concepts, such as multiplication, addition, and modular arithmetic, to determine the proper farming seasons. These outcomes can be socialized and used as a contextual learning resource.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84359096","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 : 2023-03-25DOI: 10.22342/jme.v14i2.pp189-204
Farzad Radmehr
Task design is an important element of effective mathematics teaching and learning. Past research in mathematics education has investigated task design in mathematics education from different perspectives (e.g., cognitive and cultural) and offered a number of (theoretical) frameworks and sets of principles. In this study, through a narrative research in the form of autoethnography, I reflected on my past teaching and research experience and proposed a (theoretical) framework for task design in mathematics education. It contains four main principles: (a) inclusion, (b) cognitive demand, (c) affective and social aspects of learning mathematics, and (d) theoretical perspective(s) toward learning mathematics. This framework could be used as a tool for critically reflecting on current practices in terms of task design in teaching mathematics and research in mathematics education. It may also contribute to ongoing research in mathematics education about task design and enable or enhance opportunities for dialogue between lecturers, teachers, and researchers about how to design rich mathematical tasks for teaching and research purposes.
{"title":"Toward a theoretical framework for task design in mathematics education","authors":"Farzad Radmehr","doi":"10.22342/jme.v14i2.pp189-204","DOIUrl":"https://doi.org/10.22342/jme.v14i2.pp189-204","url":null,"abstract":"Task design is an important element of effective mathematics teaching and learning. Past research in mathematics education has investigated task design in mathematics education from different perspectives (e.g., cognitive and cultural) and offered a number of (theoretical) frameworks and sets of principles. In this study, through a narrative research in the form of autoethnography, I reflected on my past teaching and research experience and proposed a (theoretical) framework for task design in mathematics education. It contains four main principles: (a) inclusion, (b) cognitive demand, (c) affective and social aspects of learning mathematics, and (d) theoretical perspective(s) toward learning mathematics. This framework could be used as a tool for critically reflecting on current practices in terms of task design in teaching mathematics and research in mathematics education. It may also contribute to ongoing research in mathematics education about task design and enable or enhance opportunities for dialogue between lecturers, teachers, and researchers about how to design rich mathematical tasks for teaching and research purposes.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78244152","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 : 2023-03-16DOI: 10.22342/jme.v14i1.pp169-188
B. Tanujaya, R. C. I. Prahmana, J. Mumu
Due to the poor instruction process during the Covid-19 Pandemic, especially in mathematics, students frequently need help with data literacy. To overcome these obstacles, they must improve their thinking skills. This study aims to enhance the quality of mathematics instruction, especially students' thinking skills, by implementing Lesson Study to develop sharing and jumping tasks. This qualitative descriptive research was conducted at one of the senior high schools and universities in Manokwari, West Papua, with their students as the research subject. The lesson study was implemented in two cycles through instruction at school and lectures at the university. The lesson study consists of three processes: plan, do, and see. The hypothetical learning trajectory was developed at the lesson design stage and then tested at the teaching-learning stage. The open class results were then analyzed during the reflection step to redesign the sharing and jumping tasks. The success of the research was determined through field notes taken from teachers and students. The frequency distribution table is used as the topic matter. The findings revealed that students' thinking skills developed, indicating they were more interested than in the previous teaching and learning process. The learning process was more exciting and enhanced conceptual comprehension. Because learning was communicable, students were more satisfied. They were more engaged and required further thought to comprehend the topic matter. Also, they produce a variety of responses, which is only feasible if they are capable of critical thought.
{"title":"Lesson study with sharing and jumping tasks in online mathematics classrooms for rural area students","authors":"B. Tanujaya, R. C. I. Prahmana, J. Mumu","doi":"10.22342/jme.v14i1.pp169-188","DOIUrl":"https://doi.org/10.22342/jme.v14i1.pp169-188","url":null,"abstract":"Due to the poor instruction process during the Covid-19 Pandemic, especially in mathematics, students frequently need help with data literacy. To overcome these obstacles, they must improve their thinking skills. This study aims to enhance the quality of mathematics instruction, especially students' thinking skills, by implementing Lesson Study to develop sharing and jumping tasks. This qualitative descriptive research was conducted at one of the senior high schools and universities in Manokwari, West Papua, with their students as the research subject. The lesson study was implemented in two cycles through instruction at school and lectures at the university. The lesson study consists of three processes: plan, do, and see. The hypothetical learning trajectory was developed at the lesson design stage and then tested at the teaching-learning stage. The open class results were then analyzed during the reflection step to redesign the sharing and jumping tasks. The success of the research was determined through field notes taken from teachers and students. The frequency distribution table is used as the topic matter. The findings revealed that students' thinking skills developed, indicating they were more interested than in the previous teaching and learning process. The learning process was more exciting and enhanced conceptual comprehension. Because learning was communicable, students were more satisfied. They were more engaged and required further thought to comprehend the topic matter. Also, they produce a variety of responses, which is only feasible if they are capable of critical thought.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90552305","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 : 2023-03-15DOI: 10.22342/jme.v14i1.pp149-168
Y. Morales-López, Andrew Bocker Páez, Danilo Argüello Vega, Adriana Breda
This article describes the didactic analysis carried out by an expert teacher and a novice teacher, based on the didactic suitability criteria (DSC) of the Onto Semiotic Approach (OSA) when analyzing episodes of a high school mathematics class in Costa Rica. This is a qualitative investigation with an interpretive hermeneutic approach. First, a questionnaire was applied to the two participants, to classify them as novice and expert, based on certain defined characteristics. Both teachers then analyzed three video segments using a guide for didactic analysis and, finally, an interview was conducted to elaborate on the reflections previously obtained. The data analysis focused on identification, classification, and comparison of elements in each of the video segments with reference to the OSA’s DSC indicators. The results show that there are differences and similarities between the didactic analysis carried out by these teachers. It is concluded that the novice teacher provides a more descriptive analysis, in which errors are not specified, and focuses on the activities carried out by his students, while the expert teacher, who provides a thoughtful evaluative analysis of, identifying errors in the concepts and focusing his analysis on the teacher’s actions and performance in the video segments.
{"title":"Identification of characteristics of didactic and meta-didactic mathematical knowledge of novice and expert teachers when reflecting on class episodes","authors":"Y. Morales-López, Andrew Bocker Páez, Danilo Argüello Vega, Adriana Breda","doi":"10.22342/jme.v14i1.pp149-168","DOIUrl":"https://doi.org/10.22342/jme.v14i1.pp149-168","url":null,"abstract":"This article describes the didactic analysis carried out by an expert teacher and a novice teacher, based on the didactic suitability criteria (DSC) of the Onto Semiotic Approach (OSA) when analyzing episodes of a high school mathematics class in Costa Rica. This is a qualitative investigation with an interpretive hermeneutic approach. First, a questionnaire was applied to the two participants, to classify them as novice and expert, based on certain defined characteristics. Both teachers then analyzed three video segments using a guide for didactic analysis and, finally, an interview was conducted to elaborate on the reflections previously obtained. The data analysis focused on identification, classification, and comparison of elements in each of the video segments with reference to the OSA’s DSC indicators. The results show that there are differences and similarities between the didactic analysis carried out by these teachers. It is concluded that the novice teacher provides a more descriptive analysis, in which errors are not specified, and focuses on the activities carried out by his students, while the expert teacher, who provides a thoughtful evaluative analysis of, identifying errors in the concepts and focusing his analysis on the teacher’s actions and performance in the video segments.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84996811","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 : 2023-03-15DOI: 10.22342/jme.v14i1.pp129-148
L. Nurhayati, D. Suryadi, D. Dasari, T. Herman
The objective of this study is to determine students’ learning barriers in understanding integral concepts through their thinking processes with the perspective of APOS theory (Action, Process, Object-Scheme). This research applied qualitative research with a case study method. The samples of this research were 19 civil engineering students who had contracted calculus courses and who had been given a written test. The results of the written test were divided into three different categories – they are comprehension ability is high (score ), medium (60 Score < ) and low (score < 60). Deep interviews were conducted with three representative students who took the written test and met the criteria for each group. The results of the interviews showed that students in the high category still had conceptual ontogenic learning obstacle despite passing the APOS path. Students in the moderate category be able to reach the encapsulation stage but they had not been able to de-encapsulate it to the process. They had conceptual and epistemological ontogenical learning obstacles. Whereas the low category students had the tendency to only reach the action stage and had difficulty in doing initial de-encapsulation due to lack of learning experience in the prerequisite materials. The learning obstacles they experienced were psychological and conceptual-ontogenical learning obstacles. Aggregately, the students tended to experience conceptual ontogenic learning obstacle. The result of this study is expected to be used as a basis for designing a hypothetical learning trajectory in future research.
{"title":"Integral (antiderivative) learning with APOS perspective: A case study","authors":"L. Nurhayati, D. Suryadi, D. Dasari, T. Herman","doi":"10.22342/jme.v14i1.pp129-148","DOIUrl":"https://doi.org/10.22342/jme.v14i1.pp129-148","url":null,"abstract":"The objective of this study is to determine students’ learning barriers in understanding integral concepts through their thinking processes with the perspective of APOS theory (Action, Process, Object-Scheme). This research applied qualitative research with a case study method. The samples of this research were 19 civil engineering students who had contracted calculus courses and who had been given a written test. The results of the written test were divided into three different categories – they are comprehension ability is high (score ), medium (60 Score < ) and low (score < 60). Deep interviews were conducted with three representative students who took the written test and met the criteria for each group. The results of the interviews showed that students in the high category still had conceptual ontogenic learning obstacle despite passing the APOS path. Students in the moderate category be able to reach the encapsulation stage but they had not been able to de-encapsulate it to the process. They had conceptual and epistemological ontogenical learning obstacles. Whereas the low category students had the tendency to only reach the action stage and had difficulty in doing initial de-encapsulation due to lack of learning experience in the prerequisite materials. The learning obstacles they experienced were psychological and conceptual-ontogenical learning obstacles. Aggregately, the students tended to experience conceptual ontogenic learning obstacle. The result of this study is expected to be used as a basis for designing a hypothetical learning trajectory in future research.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82183038","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 : 2023-02-22DOI: 10.22342/jme.v14i1.pp69-84
F. Fitriati, R. Rosli, Zanaton H Iksan
Planning a mathematics lesson plan is a complex process. Its quality contributes to the effectiveness of mathematics instruction. Given this significance, improving prospective mathematics teachers’ lesson planning ability is essential for teacher preparation programs to produce effective teachers. This study examines how a lesson study within a school-university partnership program (SUPER-LS) could strengthen the lesson planning skills of prospective mathematics teachers. This study employed a case study, which included thirteen student teachers. Data were collected using four initial and four final drafts of mathematics lesson plans developed by four groups of prospective mathematics teachers and reflection reports. These were then analyzed qualitatively using the framework of MKT. The study found that sixteen categories of issues were present in the initial lesson plan, and six remained in the final lesson plan. In the final lesson plan, the 16 problems were reduced to 6, with an improvement of around 62.50%. In addition, prospective mathematics teachers improved their lesson planning skills because of their involvement in the SUPER-LS program, facilitated by intensive collaboration and interaction among participants, especially in-service teachers, and teacher educators, as well as peers’ feedback.
{"title":"Enhancing prospective mathematics teachers' lesson planning skills through lesson study within school university partnership program","authors":"F. Fitriati, R. Rosli, Zanaton H Iksan","doi":"10.22342/jme.v14i1.pp69-84","DOIUrl":"https://doi.org/10.22342/jme.v14i1.pp69-84","url":null,"abstract":"Planning a mathematics lesson plan is a complex process. Its quality contributes to the effectiveness of mathematics instruction. Given this significance, improving prospective mathematics teachers’ lesson planning ability is essential for teacher preparation programs to produce effective teachers. This study examines how a lesson study within a school-university partnership program (SUPER-LS) could strengthen the lesson planning skills of prospective mathematics teachers. This study employed a case study, which included thirteen student teachers. Data were collected using four initial and four final drafts of mathematics lesson plans developed by four groups of prospective mathematics teachers and reflection reports. These were then analyzed qualitatively using the framework of MKT. The study found that sixteen categories of issues were present in the initial lesson plan, and six remained in the final lesson plan. In the final lesson plan, the 16 problems were reduced to 6, with an improvement of around 62.50%. In addition, prospective mathematics teachers improved their lesson planning skills because of their involvement in the SUPER-LS program, facilitated by intensive collaboration and interaction among participants, especially in-service teachers, and teacher educators, as well as peers’ feedback.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78374287","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 : 2023-02-22DOI: 10.22342/jme.v14i1.pp55-68
A. Cahyono, Masrukan, Mulyono, M. Ludwig, Simone Jablonski, Deng-Xin Ken Oehler
The purpose of this study is to explore how MathCityMap training for teachers can be designed and implemented in a hybrid setting. Design research has been carried out involving teachers from 34 provinces in Indonesia. A four-day model training program for indoor and outdoor activities in a hybrid setting has been designed. The core concept of designing modeling tasks and math trails, as well as the introduction to MathCityMap, were delivered in a hybrid mode between Indonesia and Germany. The activity continued with the development of MathCityMap Trails in city parks. Post-training activities were conducted in their respective places of origin, in schools, and in city parks. Participants have successfully designed trails in both their schools and the city parks where they live supported using Learning Management System. The findings of the MathCityMap team's review indicate that most of the trails fulfilled the requirements. The trainee teachers then disseminate their knowledge and experience to their colleagues. They also used MathCityMap Trails for classroom learning as well as other activities such as MathCityMap competitions and public educational activities. The hybrid environment helps to accelerate the attainment of training objectives while also broadening the program's reach and network.
{"title":"Indonesia-Germany MathCityMap training: Shifting mobile math trails teacher training to a hybrid environment","authors":"A. Cahyono, Masrukan, Mulyono, M. Ludwig, Simone Jablonski, Deng-Xin Ken Oehler","doi":"10.22342/jme.v14i1.pp55-68","DOIUrl":"https://doi.org/10.22342/jme.v14i1.pp55-68","url":null,"abstract":"The purpose of this study is to explore how MathCityMap training for teachers can be designed and implemented in a hybrid setting. Design research has been carried out involving teachers from 34 provinces in Indonesia. A four-day model training program for indoor and outdoor activities in a hybrid setting has been designed. The core concept of designing modeling tasks and math trails, as well as the introduction to MathCityMap, were delivered in a hybrid mode between Indonesia and Germany. The activity continued with the development of MathCityMap Trails in city parks. Post-training activities were conducted in their respective places of origin, in schools, and in city parks. Participants have successfully designed trails in both their schools and the city parks where they live supported using Learning Management System. The findings of the MathCityMap team's review indicate that most of the trails fulfilled the requirements. The trainee teachers then disseminate their knowledge and experience to their colleagues. They also used MathCityMap Trails for classroom learning as well as other activities such as MathCityMap competitions and public educational activities. The hybrid environment helps to accelerate the attainment of training objectives while also broadening the program's reach and network.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81316781","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}
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