Indonesian Mathematical Society Journal on Mathematics Education最新文献

{"title":"Students' Modelling in Learning the Concept of Speed","authors":"A. Lukito, Sitti Maesuri Patahudin, Fatimatul Khikmiyah","doi":"10.22342/jme.3.1.618.87 - 98","DOIUrl":"https://doi.org/10.22342/jme.3.1.618.87 - 98","url":null,"abstract":"Previous researchs shows that speed is one of the most difficult in the upper grades of primary school. It is because students must take into consideration of two variables; distance and time. Nevertheless, Indonesian students usually learn this concept as a transmission subject and teacher more emphasizes on formal mathematics in which the concept of speed given as “distance by time”rigorously. A sequence of learning activities with toy cars context was designed based on students' development and Realistic Mathematics Education (RME) principles which are guided reinvention, didactical phenomenology and emergent modelling. Using their own models, students are able to explain a proportion among distance and time in speed as well the relationship of it.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128777424","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}

{"title":"Metaphorical Thinking Learning and Junior High School Teachers' Mathematical Questioning Ability","authors":"W. Hidayat, E. Rohaeti, H. Hendriana","doi":"10.22342/jme.8.1.3614.","DOIUrl":"https://doi.org/10.22342/jme.8.1.3614.","url":null,"abstract":"This control-group posttest-only experimental design study aims to investigate the role of learning that teaches metaphorical thinking in mathematical questioning ability of junior high school teachers. The population of this study was mathematics junior high school teachers in West Java province. The samples were 82 mathematics junior high school teachers selected using random purposive sampling for experimental class and control class. It was concluded that: 1) the teacher‘s mathematical questioning ability who received metaphorical thinking learning is better than those who received conventional learning; 2) learning factors and KAM (Kemampuan Awal Matematis = Prior Mathematical Ability) affect the achievement of teachers' mathematical questioning ability; there is an interaction effect between learning and KAM in developing teachers' mathematical questioning ability; 4) teachers' mathematical questioning ability does not reach optimal for submitting non-routine and open-ended questions indicator.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114621528","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}

{"title":"Building Counting by Traditional Game: Mathematics Program for Young Children","authors":"N. Nasrullah, Z. Zulkardi","doi":"10.22342/jme.2.1.781.41 - 54","DOIUrl":"https://doi.org/10.22342/jme.2.1.781.41 - 54","url":null,"abstract":"In line with design research, the use of Bermain Satu Rumah (BSR) as traditional game to support children’s counting classroom wherein students are encouraged to construct mathematical understanding. Number in traditional games is an interesting aspect that is helpful for children to encounter numerous situations that bring them into contact with sounds, symbols and meanings that relate to numbers. Bermain satu rumah as starting activity would be media to enhance student’s sense of number as well as to be used as learning material. By developing model-of problem of bermain satu rumah as traditional context, resultative counting is counting a number of things with the aim of determining how many are there (the result) that can be showed by using addition and multiplication concepts. Student’s thinking on their level exhibited us their successful conservation when they were in the last grade. The progress of understanding by game, especially bermain satu rumah, is concrete effort to support number learning in primary school. Using game in learning process, for instance, mathematics learning for primary school can be a mathematics program for young children.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117120500","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}

{"title":"Students' Initial Understanding of the Concept of Conservation of Area","authors":"Rindu Alriavindrafunny","doi":"10.22342/jme.5.1.1449.57 - 65","DOIUrl":"https://doi.org/10.22342/jme.5.1.1449.57 - 65","url":null,"abstract":"The first idea that must be understood by the students to learn the concept of concept of conservation of area is recomposing shape. In recomposing shape, the students will see the fact that the shape can be transformed into a different form without adding or losing the part of the shape. So the students could conclude that the area of the shape before and after recomposing remains the same. Therefore, this study will answer how the students understand the initial idea (recomposing shape) of the concept of conservation of area. The instructional activity which was made in this study is based on realistic mathematics education. The activity was created for third grade elementary school students in SD Al-Hikmah Surabaya. The third grade students were used since they have not learned about area measurement. So they could focus just on the shape without disturbance of the area formula. The result of this study suggest that students still need more similar activities to ensure their understanding toward the idea that recomposing shape will preserve the area of the shape.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134025402","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}

{"title":"Eliciting Mathematical Thinking of Students Through Realistic Mathematics Eucation","authors":"Lathiful Anwar, Ketut Budayasa, S. Amin, D. D. Haan","doi":"10.22342/jme.3.1.620.55 - 70","DOIUrl":"https://doi.org/10.22342/jme.3.1.620.55 - 70","url":null,"abstract":"This paper focuses on an implementation a sequence of instructional activities about addition of fractions that has been developed and implemented in grade four of primary school in Surabaya, Indonesia. The theory of Realistic Mathematics Education (RME) has been applied in the sequence, which aims to assist low attaining learners in supporting students’ thinking in the addition of fractions. Based on the premise that eliciting and addressing learners’ alternative conceptions in mathematics is beneficial in assisting them to improve their understanding, the paper seeks to explore the role that RME plays pertaining to this particular supposition. The paper presents and discusses examples of learners’ responses to contextual problems given to them during the course of the instructional activities.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115648351","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}

{"title":"The Role of Context in Third Graders' Learning of Area Measurement","authors":"D. Haris, Ratu llma","doi":"10.22342/jme.2.1.778.55 - 66","DOIUrl":"https://doi.org/10.22342/jme.2.1.778.55 - 66","url":null,"abstract":"Many researches showed that the most of students find the difficulty in measuring area. The formula of area tends to be taught directly without involving the conceptual basis and the area measurement are separated from children’s daily experiences. For this reason, the teaching and learning of area measurement was designed and link to a set of students’ experience-based activities. The context of this research is Indonesian traditional handicraft namely anyaman. The study is situated in the context of implementing an Indonesian version of Realistic Mathematics Education, labeled as PMRI in Indonesia. Design Research methodology comprising preliminary design, teaching experiment, and retrospective analysis is applied. This research described the investigation of the context as preliminary of teaching and learning about area measurement held in 3th grade of primary school SDN 119 Palembang. The result of the teaching experiment showed that problem embedded in a context could encourage the students to develop the idea of area measurement concept. The strategies through emergent modeling showed how students’ contribution could be used to develop gradually their reasoning of area measurement concept. In the experience-based activities for learning area measurement, emergent modeling played an important role in the shift of students’ reasoning from informal level towards formal mathematical concepts of area measurement.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"521 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123415759","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}

{"title":"Developing Mathematics Problems Based on Pisa Level of Change and Relationships Content","authors":"S. Ahyan, Darmawijoyo Darmawijoyo, Z. Zulkardi","doi":"10.22342/jme.5.1.1448.47 - 56","DOIUrl":"https://doi.org/10.22342/jme.5.1.1448.47 - 56","url":null,"abstract":"This research aims to produce mathematics problems based on PISA level with valid and practical content of change and relationships and has potential effect for Junior High School students. A development research method developed by Akker, Gravemeijer, McKenney and Nieveen is used this research. This development research consists of three stages; analysis, design, and evaluation. In the first stage, the researcher analyzed students, algebra material in school based curricula (KTSP) and mathematics problems of PISA 2003 of change and relationships content. The second stage, the researcher designed 13 problems with content of change and relationships. The last, the researcher used formative evaluation design developed by Tessmer which includes self evaluation, one-to-one, expert review, small group, and field test. The data collect by walk through (step of expert review) to get valid problems in aspect of content, construct, and language; interview (steps of one-to-one, small group,and field test) to know problems practicality; questionnaire (step of field test) to know problems' potential effects. The result of this research indicated that 12 mathematical problems based on PISA level of change and relationships content that developed have validity, practically, and potential effects for Junior High School students.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127016112","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}

{"title":"Using Set Model for Learning Addition of Integers","authors":"Y. Hartono, R. Putri, U. Lestari","doi":"10.22342/jme.6.2.2168.93 - 106","DOIUrl":"https://doi.org/10.22342/jme.6.2.2168.93 - 106","url":null,"abstract":"This study aims to investigate how set model can help students' understanding of addition of integers in fourth grade. The study has been carried out to 23 students and a teacher of IVC SD Iba Palembang in January 2015. This study is a design research that also promotes PMRI as the underlying design context and activity. Results showed that the use of set models that is packaged in activity of recording of financial transactions in two color chips and card game can help students to understand the concept of zero pair, addition with the same colored chips, and cancellation strategy.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132037210","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}

{"title":"Exploring Primary Student's Problem-Solving Ability by Doing Tasks Like PISA's Question","authors":"Y. Hartono, R. Novita, Z. Zulkardi","doi":"10.22342/jme.3.2.571.133 - 150","DOIUrl":"https://doi.org/10.22342/jme.3.2.571.133 - 150","url":null,"abstract":"Problem solving plays an important role in mathematics and should have a prominent role in the mathematics education. The term “problem solving” refers to mathematics tasks that have the potential to provide intellectual challenges for enhancing students’ mathematical understanding and development. In addition, the contextual problem that requires students to connect their mathematical knowledge in solving mathematical situational problem is believed to be an impact on the development students’ problem-solving ability. The tasks that have been developed by PISA meet both of these criteria. As stated by the NCTM, that problem-solving skill and ability should be developed to students when they were in primary school (K5-8), therefore, it is important to do an effort to guide students in developing problemsolving ability from primary school such as accustom students to do some mathematical solving-problem tasks. Thus, in this research we tried to investigate how to develop mathematical problem-solving tasks like PISA’s question that have potential effect toward students’ mathematical problem-solving abilities?. We used a formative evaluation type of development research as an mean to achieve this research goal. This type of research is conducted in two steps, namely preliminary stage and formative evaluation stage covering self evaluation, prototyping (expert reviews, one-to-one, and small group), and field test. This research involve four primary schools in Palembang, there are SD Muhammadiyah 6 Palembang, MIN 1 & MIN 2 Palembang, and SDN 179 Palembang. The result of this research showed that the mathematical problem-solving tasks that have been developed have potential effect in exploring mathematical problemsolving ability of the primary school students. It is shown from their work in solving problem where all of the indicators of problem solving competency have emerged quite well category. In addition, based on interview result from some students, known that they like to do such tasks because can improve their reasoning, creativity and thinking ability.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127654876","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}

{"title":"How Concrete is Concrete?","authors":"K. Gravemeijer","doi":"10.22342/jme.2.1.780.1 - 14","DOIUrl":"https://doi.org/10.22342/jme.2.1.780.1 - 14","url":null,"abstract":"If we want to make something concrete in mathematics education, we are inclined introduce, what we call, ‘manipulatives’, in the form of tactile objects or visual representations. If we want to make something concrete in a everyday-life conversation, we look for an example. In the former, we try to make a concrete model of our own, abstract, knowledge; in the latter, we try to find an example that the others will be familiar with. This article first looks at the tension between these two different ways of making things concrete. Next another role of manipulatives, will be discussed, namely that of means for scaffolding and communication. In this role, manipulatives may function as means of support in a process that aims at helping students to build on their own thinking while constructing more sophisticated mathematics.","PeriodicalId":413495,"journal":{"name":"Indonesian Mathematical Society Journal on Mathematics Education","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117276028","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}