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Doctoral Program on Mathematics Education Faculty of Teacher Training and Education, Universitas Sriwijaya Kampus FKIP Bukit Besar Jl. Srijaya Negara, Bukit Besar Palembang - 30139
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Journal on Mathematics Education
Published by Universitas Sriwijaya
ISSN : 20878885     EISSN : 24070610     DOI : https://doi.org/10.22342/jme
Core Subject : Education, Social,
Education Mathematics Social Sciences Other
The Journal on Mathematics Education (JME) is an international electronic journal that provides a platform for publishing original research articles, systematic literature reviews (invited contributions), and short communications related to mathematics education. The whole spectrum of research in mathematics education are welcome, which includes, but is not limited to the following topics, such as Realistic Mathematics Education (RME), Design/Development Research in Mathematics Education, PISA Task, Mathematics Ability, and Ethnomathematics.
Arjuna Subject : Ilmu Sosial - Pendidikan
Articles 292 Documents
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Digital tools and paper-and-pencil in solving-and-expressing: How technology expands a student’s conceptual model of a covariation problem Jacinto, Hélia; Carreira, Susana
Journal on Mathematics Education Vol. 12 No. 1 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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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.
Designing a healthy menu project for Indonesian junior high school students Putri, Ratu Ilma Indra; Zulkardi; Setyorini, Ninik Purwaning; Meitrilova, Agyta; Permatasari, Ranni; Saskiyah, Sulafah Ansya; Nusantara, Duano Sapta
Journal on Mathematics Education Vol. 12 No. 1 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Project-based learning (PjBL) is an appropriate learning model that can shape students’ scientific, social and higher-order thinking. Implementing PjBL in education gives students the freedom to plan their own learning activities, conduct projects collaboratively and produce products. In a healthy menu project, PjBL can help students calculate their excess weight. The purpose of this study was thus to design a healthy menu that assists Indonesian junior high school students solve numeracy problems using obesity context. The method followed a design research type validation studies using observation and document reviews as data collection techniques. This study produced a learning trajectory that can help grade VII students solve arithmetic operations using obesity context through two activities. In the first, the students were asked to record their respective heights and weights, then use them to determine their body mass index (BMI) and body mass ratio (BMR). Then, the students confirmed their necessary daily caloric intake, and categorized their BMI and BMR results as underweight, normal, overweight or obese. In the second activity, the students developed healthy menus per their respective tastes based on their weight categories from the first activity. The study concluded with the students successfully producing healthy menus that they designed according to their calculated required daily caloric intake
An investigation of students’ algebraic proficiency from a structure sense perspective Jupri, Al; Sispiyati, Ririn; Chin, Kin Eng
Journal on Mathematics Education Vol. 12 No. 1 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Structure sense can be interpreted as an intuitive ability towards symbolic expressions, including skills to perceive, to interpret, and to manipulate symbols in different roles. This ability shows student algebraic proficiency in dealing with various symbolic expressions and is considered important to be mastered by secondary school students for advanced study or professional work. This study, therefore, aims to investigate students’ algebraic proficiency in terms of structure sense. To reach this aim, we set up a qualitative case study with the following three steps. First, after conducting a literature study, we designed structure sense tasks according to structure sense characteristics for the topic of equations. Second, we administered an individual written test involving 28 grade XI students (16-17 year-old). Third, we analyzed students’ written work using a structure sense perspective. The results showed that about two-thirds of the participated students lack of structure sense in which they tend to use more procedural strategies than structure sense strategies in solving equations. We conclude that the perspective of structure sense provides a fruitful lens for assessing students’ algebraic proficiency.
Teaching higher-order thinking skills in mathematics classrooms: Gender differences Sa’dijah, Cholis; Murtafiah, Wasilatul; Anwar, Lathiful; Nurhakiki, Rini; Cahyowati, Ety Tejo Dwi
Journal on Mathematics Education Vol. 12 No. 1 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

This case study aims to explore how male and female Indonesian mathematics teachers enact decision-making processes in teaching High-Order Thinking Skills (HOTS). Non-random purposive sampling technique was used to select the participants. The participants involved in this study were two Indonesian mathematics teachers who teach HOTS in their classrooms. The participants were chosen from 87 Indonesian mathematics teachers in 23 secondary schools in East Java, Indonesia, who were invited to our survey and confirmed that they taught HOTS and underwent classroom observation. Data were collected from classroom teaching and interview sessions. The data of classroom teaching consisted of a video-audio recording of two meetings and field notes of observation. In the interview session, we recorded the teachers’ responses during semi-structured interviews. We coded and explained our interpretation for each code. We also conducted investigator triangulation by comparing coding and interpretation made by two researchers and discussing them to find the best representation of the meaning of the data. Our findings indicate that both male and female teachers performed four steps of decision making, consisting of giving problems, asking students to solve, checking, and obtaining new ideas. The difference of male and female teachers’ decision-making process is observed in the process of giving problem (non-contextual vs contextual), how they ask students to solve and check the solution (individual vs group), and the criteria of the new idea of problem-solving (correct vs the best solution). The study findings can be a catalyst for enacting decision-making steps in teaching HOTS. Also, these can be a reflective practice for mathematics teachers to improve their teaching quality.
Project-based mathematics learning: Fruit salad recipes in junior high school Rahayu, Poppy Trianti; Putri, Ratu Ilma Indra
Journal on Mathematics Education Vol. 12 No. 1 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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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
Characteristics of students’ abductive reasoning in solving algebra problems Hidayah, Indriati Nurul; Sa’dijah, Cholis; Subanji; Sudirman
Journal on Mathematics Education Vol. 11 No. 3 (2020): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

When students solve an algebra problem, students try to deduce the facts in the problem. This step is imperative, students can draw conclusions from the facts and devise a plan to solve the problem. Drawing conclusions from facts is called reasoning. Some kinds of reasoning are deductive, inductive, and abductive. This article explores the characteristics of some types of abductive reasoning used by mathematics education students in problem-solving related to using facts on the problems. Fifty-eight students were asked to solve an algebra problem. It was found that the student’s solutions could be grouped into four types of abductive reasoning. From each group, one student was interviewed to have more details on the types. First, the creative conjectures type, the students can solve the problems and develop new ideas related to the problems; second, fact optimization type, the students make conjecture of the answer, then confirm it by deductive reasoning; third, factual error type, students use facts outside of the problems to solve it, but the facts are wrong; and fourth, mistaken fact type, the students assume the questionable thing as a given fact. Therefore, teachers should encourage the students to use creative conjectures and fact optimization when learning mathematics.
Learning integers with realistic mathematics education approach based on islamic values Muslimin; Putri, Ratu Ilma Indra; Zulkardi; Aisyah, Nyimas
Journal on Mathematics Education Vol. 11 No. 3 (2020): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Mathematical learning not only produces students who succeed in mathematical and procedural calculations but also develops religious thinking. Realistic mathematics education with the context of Islamic values makes students can imagine, which is one of the right ways to develop the skills of students’ creativity, collaboration, and communication. This study aims to describe the learning trajectory that can help students understand integers with a realistic mathematics education approach based on Islamic values. It is hoped that student responses are positive, meaningful, and enjoyable. This research uses the design research method, which is a form of a qualitative approach. There are three stages in this research, namely: preliminary design, experimental design, and retrospective analysis. The results showed that the Hypothetical Learning Trajectory (HLT) trial with an Islamic value-based context showed significant progress based on student responses. Initially, students had difficulty understanding integers, but they felt delighted to follow the learning process along with the habituation. The HLT technique used in habituation was through pilot experiments, followed by teaching experiments. Students respond very positively and are happy to follow it by seeing the very significant development of their abilities during the learning process.
How students work with PISA-like mathematical tasks using covid-19 context Zulkardi; Putri, Ratu Ilma Indra; Alwi, Zahra; Nusantara, Duano Sapta; Ambarita, Sahala Martua; Maharani, Yulianita; Puspitasari, Linda
Journal on Mathematics Education Vol. 11 No. 3 (2020): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

School students can use a sequence of contextual tasks to learn mathematics. We can use Covid-19 as a phenomenon or context to exploit in learning mathematics. This article describes how students learn with mathematical problems that adapted PISA tasks and used the Covid-19 context. This study involved 29 secondary-level students, 15 years old, and each has different levels of mathematical skills. We use three phases of design research as the research method. Data were collected using observation, interviews, and documents. Then, they were analyzed descriptively. The result showed there were ten problems developed, and students were asked to work with those problems. We found that there are steps in how students understand and solve the problem. First, if students find a picture in the task, then they observe at the picture, read the question, and then start working to solve the problem. Second, if students find a table with less data, students refer to all data in solving the problem. Third if students find a table which has a lot of data, then some students calculate all of the data and other only compared among them. We’d like to encourage students to understand the problem before solving the problem. They do this by observing the pictures, comprehending the tables and also the questions
Deductive or inductive? Prospective teachers’ preference of proof method on an intermediate proof task Siswono, Tatag Yuli Eko; Hartono, Sugi; Kohar, Ahmad Wachidul
Journal on Mathematics Education Vol. 11 No. 3 (2020): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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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.
Learning geometry and values from patterns: Ethnomathematics on the batik patterns of Yogyakarta, Indonesia Prahmana, Rully Charitas Indra; D'Ambrosio, Ubiratan
Journal on Mathematics Education Vol. 11 No. 3 (2020): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

In general, many people still view mathematics as a subject that is far from reality and culture in everyday life. Historically, in fact, mathematics is very close to daily life and was developed by humans in response to the surrounding phenomena. Indonesia has diverse cultures, including in Yogyakarta. This culture can be used to explore mathematical concepts as a transformational effort to bring mathematics closer to the reality and perception of its people. Besides, we can use culture as the basis of learning mathematics in schools. Therefore, this study seeks to explore a mathematical concept of geometry transformation in the Yogyakarta batik pattern. This is an ethnography study. The research data were collected through observations, literature studies, and interviews with the batik culture practitioner and artist to understand the batik techniques and moral, historical, and philosophical values in each batik motif. This study's results indicate that in Yogyakarta batik, it uses the concept of geometry transformation in the making of Yogyakarta's unique Batik motif. Besides that, each motif or pattern also contains local values. These, namely moral, historical, and philosophical values, can be felt, reflected, and applied in daily life, such as values that teach leadership, good deeds, and so on.

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