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Journal on Mathematics Education (JME)
Published by Universitas Sriwijaya
ISSN : 20878885     EISSN : 24070610     DOI : -
Core Subject : Education,
Education Mathematics
Journal on Mathematics Education (IndoMS-JME) is peer-refereed open-access international journal which has been established for the dissemination of state-of-the-art knowledge in the field of mathematics education. This journal is founded under collaboration between Indonesian Mathematical Society and Sriwijaya University. Starting from 2019, IndoMS-JME would be published three times in a year (January, Mei, and September).
Arjuna Subject : -
Articles 241 Documents
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A LEARNING TRAJECTORY FOR PROBABILITY: A CASE OF GAME-BASED LEARNING Ariyadi Wijaya; Elmaini Elmaini; Michiel Doorman
Journal on Mathematics Education Vol 12, No 1 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.1.12836.1-16

Abstract

This research is aimed to describe a learning trajectory for probability through game-based learning. The research employed design research consisting of three stages: preparing for the experiment, design experiment, and retrospective analysis. A hypothetical learning trajectory (HLT) using Sudoku and Snake-and-ladder games was developed by collecting data through documentation, interviews, and classroom observations. The HLT was implemented in the classroom to investigate students’ actual learning trajectory. The results of this research indicate that the games helped students understand the concept of probability. The learning trajectory for probability based on game-based learning is seen from the perspective of four levels of emergent modeling. In the first level – ‘situational level’ – Sudoku and Ladder-and-Snake games were played by students. The second level is the ‘referential level’ where the rules of the games were used as a starting point to learn the concept of probability. Communication during game playing stimulated students' knowledge about random events, sample spaces, sample points, and events. At the third level – ‘general level’ – students used tree and table diagrams to generalize possible outcomes of an experiment and develop an understanding of sample spaces and sample points. Lastly, at the ‘formal level’ students developed their informal knowledge into formal concepts of probabilities.
SECONDARY SCHOOL MATHEMATICS TEACHERS’ PERCEPTIONS ABOUT INDUCTIVE REASONING AND THEIR INTERPRETATION IN TEACHING Landy Elena Sosa-Moguel; Eddie Aparicio-Landa
Journal on Mathematics Education Vol 12, No 2 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.2.12863.239-256

Abstract

Inductive reasoning is an essential tool for teaching mathematics to generate knowledge, solve problems, and make generalizations. However, little research has been done on inductive reasoning as it applies to teaching mathematical concepts in secondary school. Therefore, the study explores secondary school teachers’ perceptions of inductive reasoning and interprets this mathematical reasoning type in teaching the quadratic equation. The data were collected from a questionnaire administered to 22 teachers and an interview conducted to expand their answers. Through the thematic analysis method, it was found that more than half the teachers perceived inductive reasoning as a process for moving from the particular to the general and as a way to acquire mathematical knowledge through questioning. Because teachers have little clarity about inductive phases and processes, they expressed confusion about teaching the quadratic equation inductively. Results indicate that secondary school teachers need professional learning experiences geared towards using inductive reasoning processes and tasks to form concepts and generalizations in mathematics.
DIGITAL TOOLS AND PAPER-AND-PENCIL IN SOLVING-AND-EXPRESSING: HOW TECHNOLOGY EXPANDS A STUDENT’S CONCEPTUAL MODEL OF A COVARIATION PROBLEM Hélia Jacinto; Susana Carreira
Journal on Mathematics Education Vol 12, No 1 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.1.12940.113-132

Abstract

This study aims at understanding the role of the tools chosen throughout the processes of solving a non-routine mathematical problem and communicating its solution. In assuming that problem-solving is a synchronous activity of mathematization and expression of mathematical thinking we take our proposed Mathematical Problem Solving with Technology (MPST) model to analyze the processes of solving-and-expressing-problems. Resorting to qualitative methods for data collection and analysis, we report on the case of an 8th grader working on a covariation problem to examine the role that paper-and-pencil and digital tools play in the development of a conceptual model of the situation. We found that the resources used throughout the solving-and-expressing activity influenced the depth of the conceptual model developed, within a process of progressive mathematization. Whereas paper-and-pencil led to the emergence of a conceptual model based on exploring particular cases, the digital transformation of the solution was triggered by the process of communicating its mathematical justification and expanded the previous model. Moreover, the complexity of this activity is evidenced by its multiple sequences of processes. Finally, the integration process seems crucial as the concomitant use of technological and mathematical resources precedes major advancements in the expansion of the conceptual model.
DEDUCTIVE OR INDUCTIVE? PROSPECTIVE TEACHERS’ PREFERENCE OF PROOF METHOD ON AN INTERMEDIATE PROOF TASK Tatag Yuli Eko Siswono; Sugi Hartono; Ahmad Wachidul Kohar
Journal on Mathematics Education Vol 11, No 3 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.11.3.11846.417-438

Abstract

The emerging of formal mathematical proof is an essential component in advanced undergraduate mathematics courses. Several colleges have transformed mathematics courses by facilitating undergraduate students to understand formal mathematical language and axiomatic structure. Nevertheless, college students face difficulties when they transition to proof construction in mathematics courses. Therefore, this descriptive-explorative study explores prospective teachers' mathematical proof in the second semester of their studies. There were 240 pre-service mathematics teachers at a state university in Surabaya, Indonesia, determined using the conventional method. Their responses were analyzed using a combination of Miyazaki and Moore methods. This method classified reasoning types (i.e., deductive and inductive) and types of difficulties experienced during the proving. The results conveyed that 62.5% of prospective teachers tended to prefer deductive reasoning, while the rest used inductive reasoning. Only 15.83% of the responses were identified as correct answers, while the other answers included errors on a proof construction. Another result portrayed that most prospective teachers (27.5%) experienced difficulties in using definitions for constructing proofs. This study suggested that the analytical framework of the Miyazaki-Moore method can be employed as a tool to help teachers identify students' proof reasoning types and difficulties in constructing the mathematical proof.
DESIGNING PISA-LIKE MATHEMATICS TASK USING A COVID-19 CONTEXT (PISACOMAT) Duano Sapta Nusantara; Zulkardi Zulkardi; Ratu Ilma Indra Putri
Journal on Mathematics Education Vol 12, No 2 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.2.13181.349-364

Abstract

New changes to the school curriculum by enacting a minimum competency assessment (MCA) with PISA criteria in 2021 have led to confusion over the form of MCA questions among teachers and students due to limited learning resources at schools. This study aimed to produce valid and practical PISA COVID-19 mathematics tasks (PISAComat) potentially affecting mathematics literacy. This study involved 27 secondary-level students aged 15 years old with different levels of mathematics skills. Design research in the form of development studies was chosen as the core framework of this research assisted with the online learning platform. Data were analyzed descriptively through observations, tests, interviews, and document reviews. A set of PISAComat on quantity and change & relationship at the level of reasoning was gained after a formative evaluation. The formative process was conducted through zoom meetings and intensive communication at WhatsApp Group (WAG) to produce valid and practical PISAComat. After being tested in the classroom, the resulting PISAComat had been potentially effective in promoting students' mathematics literacy and life skills during the COVID-19 pandemic.
PROJECT-BASED MATHEMATICS LEARNING: FRUIT SALAD RECIPES IN JUNIOR HIGH SCHOOL Poppy Trianti Rahayu; Ratu Ilma Indra Putri
Journal on Mathematics Education Vol 12, No 1 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.1.13270.181-198

Abstract

Mathematics learning is associated with 21st-century skills such as communication, collaboration, critical thinking in problem-solving, creativity, and innovation. To help students obtain these skills, a learning project was developed through Pendidikan Matematika Realistik Indonesia (PMRI) approach by using fruit salad recipes and collaborative learning based on the Lesson Study for Learning Community (LSLC) system. The primary purpose of this study was to develop fruit salad recipes to assist junior high school students in solving problems using mean, social arithmetic, and data presentation. It employed design research type validation studies using photos, fruit salad products, and document reviews as data collection techniques. The research subjects were 27 students of grade 8 from a junior high school in Palembang. This study resulted in a learning trajectory consisting of two activities and post-test questions. In the first activity, the students can analyze and solve problems in planning fruit salad recipes with material averaging, social arithmetic, and data presentation. In the second activity, the students can make fruit salads and write recipes based on skills to make fruit salad products. The results of this study demonstrate that in project-based learning through PMRI with the context of fruit salad recipes and the LSLC system, students can learn collaboratively. The learning helps them solve problems by using average material, social arithmetic, and data presentation in developing fruit salad recipes.
MATHEMATICS EDUCATORS’ PERSPECTIVES ON CULTURAL RELEVANCE OF BASIC LEVEL MATHEMATICS IN NEPAL Bed Raj Acharya; Mukunda Prakash Kshetree; Bishnu Khanal; Ram Krishna Panthi; Shashidhar Belbase
Journal on Mathematics Education Vol 12, No 1 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.1.12955.17-48

Abstract

The main purpose of this paper was to explore mathematics educators’ perception of the cultural relevance of basic level mathematics in Nepal. The design of this study involved an interpretive qualitative approach by administering in-depth interviews with five purposively selected mathematics educators teaching at five higher education institutions in the Kathmandu valley. Each interview was audio-recorded and transcribed for coding and constructing themes. The major themes that emerged were teaching in a mother language, contextualized Ethnomathematics, and the local knowledge in the curriculum as a teaching approach. The findings of the study can be helpful to curriculum designers and teachers at the basic level of mathematics. The study also adds to the literature of cultural aspects of mathematics teaching and learning and curriculum design.
INDONESIAN MATHEMATICS TEACHERS’ KNOWLEDGE OF CONTENT AND STUDENTS OF AREA AND PERIMETER OF RECTANGLE Wahid Yunianto; Rully Charitas Indra Prahmana; Cosette Crisan
Journal on Mathematics Education Vol 12, No 2 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.2.13537.223-238

Abstract

Measuring teachers' skills and competencies is necessary to ensure teacher quality and contribute to education quality. Research has shown teachers competencies and skills influence students’ performances. Previous studies explored teachers’ knowledge through testing. Teachers' knowledge of the topic of area-perimeter and teaching strategies has been assessed through testing. In general, items or tasks to assess mathematics teacher knowledge in the previous studies were dominated by subject matter knowledge problems. Thus, it seems that the assessment has not fully covered the full range of teacher knowledge and competencies. In this study, the researchers investigated mathematics teachers’ Knowledge of Content and Students (KCS) through lesson plans developed by the teachers. To accommodate the gap in the previous studies, this study focuses on KCS on the topic of area-perimeter through their designed lesson plans. Twenty-nine mathematics teachers attended a professional development activity voluntarily participated in this study. Two teachers were selected to be the focus of this case study. Content analysis of the lesson plan and semi-structured interviews were conducted, and then data were analyzed. It revealed that the participating teachers were challenged when making predictions of students' possible responses. They seemed unaware of the ordinary students' strategies used to solve maximizing area from a given perimeter. With limited knowledge of students' possible strategies and mistakes, these teachers were poorly prepared to support student learning. 
AN ANALYSIS OF LEARNERS’ SOLUTION STRATEGIES IN THE CONTEXT OF MODELLING TASKS Xenia-Rosemarie Reit; Marc Schäfer
Journal on Mathematics Education Vol 11, No 3 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.11.3.11345.501-512

Abstract

It remains a challenge for teachers to integrate modeling tasks in everyday mathematics classes. Many studies have been conducted that show the difficulties faced by teachers.  One of the challenging aspects in this regard is that of assessment. In the present study, a connection between structures of learners’ solution strategies and cognitive considerations is established to develop a practice-oriented instrument to determine and assess the complexity of solution strategies of modeling tasks. In this paper, the selected learners’ strategies’ structure was analyzed in-depth to identify the underlying cognitive structure. The results show that thought operations carried out in parallel complicated a solution strategy.  However, the results also support a purely sequential thought operation approach without weighting parallel thought operations, which corresponds to an intuitive assessment procedure by mathematics teachers. As assessment is a great challenge for many teachers in the context of modeling tasks, this study provides a promising frame of reference for further research in this important domain of assessment and modeling.
CONTEXTUALIZED LEARNING MODULES IN BRIDGING STUDENTS’ LEARNING GAPS IN CALCULUS WITH ANALYTIC GEOMETRY THROUGH INDEPENDENT LEARNING Anthony Loria Madrazo; Ryan Villareas Dio
Journal on Mathematics Education Vol 11, No 3 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.11.3.12456.457-476

Abstract

The transition of the educational system in the Philippines vastly affects basic and higher education. A mismatch of pre-requisite Mathematics learning competencies from the basic education level occurred when the student reached higher education. This descriptive-developmental method of the study utilized the developed contextualized learning modules for the bridging course on the identified learning gaps in Calculus with Analytic Geometry for the Bachelor of Secondary Education (BSEd) major in Mathematics. Real-world concepts and situations featuring the Province of Sorsogon, Philippines were integrated into the learning modules while promoting independent learning. The content, format, presentations and organizations, accuracy, and up-to-datedness of information of the learning modules passed the evaluation of 13 experts (Mathematics Professors) from the different Higher Education Institutions (HEIs) in the Bicol Region, Philippines. Also, the 18 student participants were very much satisfied with the utilization of the learning modules that bridged their learning gaps in the conic section through independent learning.

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