Pendidikan Matematika Realistik Indonesia Research Articles

Understanding multiplication concept: Exploring PMRI-enhanced thematic learning using traditional games for primary teachers

Involving concrete situations and utilizing contexts that are closely related to students' daily lives is highly promising in creating enjoyable and meaningful mathematics learning experiences. One approach that incorporates these ideas is Pendidikan Matematika Realistik Indonesia (PMRI), which is oriented towards the mathematization of everyday experiences. This research aims to investigate how the traditional game 'maggalaceng' could support students’ understanding of multiplication in thematic learning using the PMRI approach. The method employed in this study was design research in the form of workshops involving eight teachers at a public primary school in Bone, South Sulawesi. Data were collected through classroom observations, interviews, and documentation. The results show that the teachers responded positively to integrating PMRI in thematic learning, making learning more enjoyable and meaningful. Specifically, in mathematics, the designed learning trajectory fully assists teachers in exploring alternative perspectives for teaching the concept of multiplication, progressing from the informal to the formal level as a form of repeated addition.

Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review

Foundational mathematical concepts like ratios and proportions are indispensable for solving both everyday problems and those encountered in professional settings. However, many students need help to grasp and apply these concepts effectively, often due to ineffective teaching methods, variations in students' levels of comprehension, and shortcomings in existing learning models. Realistic Mathematics Education (RME) and Pendidikan Matematika Realistik Indonesia (PMRI) have emerged as promising solutions to address these challenges. This study aims to systematically review the literature on ratio and proportion learning design using RME and PMRI approaches. It focuses on three specific research inquiries: profiling the literature, analyzing employed learning designs, and identifying gaps and recommendations for further research in learning design development. Conducted through a Systematic Literature Review (SLR) approach, the research involved planning, implementing, and disseminating review results. One hundred forty-four documents were scrutinized, leading to the identification of 19 pertinent papers. This study provides a comprehensive analysis of the literature on learning design in the context of ratio, proportion, scale, and level, utilizing RME and PMRI approaches while highlighting research gaps and offering insights for future studies. Its findings hold significant implications for educators and researchers seeking to enhance mathematics education through RME and PMRI approaches.

Developing a workshop model for high school mathematics teachers in constructing HOTS questions through the Pendidikan Matematika Realistik Indonesia approach

Indonesia's Program for International Student Assessment (PISA) results from 2000 to 2018 are worrisome because they are at the bottom of the international rankings. This result illustrates the low quality of education in Indonesia, which correlates with the qualifications of teachers. The quality of education will increase proportionally to the proportion of teachers who possess the necessary skills. Therefore, this study aims to train teachers to improve their professionalism in developing HOTs questions using the Pendidikan Matematika Realistik Indonesia (PMRI) approach. Design research-type development studies with two stages, preliminary and formative evaluation, are utilized. The results of the workshop revealed that the teacher's competency scores in developing HOTs questions increased by 45.70% (before the workshop), 77.14% (workshop 1), and 85.70% (workshop 2), respectively. It is evidenced by the teacher's ability to develop HOTs questions with the characteristics of questions investigating number content within the local context of selling duku fruits (langsat), which is a typical fruit of the East Ogan Komering Ulu (OKU) Regency and with a high degree of difficulty. This research also affects students in that it can stimulate their critical thinking abilities.

Students’ creative thinking skills in solving PISA-like mathematics problems related to quantity content

The introduction of the Merdeka curriculum mandates that teachers emphasize the development of creative thinking abilities and incorporate learning into local contexts. For this reason, this study aims to describe the creative thinking skills of class VII students in answering PISA-like mathematics problems on quantity in the context of Palembang tourism using the Pendidikan Matematika Realistik Indonesia (PMRI) approach. This study used a descriptive study with 28 students from junior high school number 26 in Palembang. Tests, interviews, and observations were used to collect data. The analytical method used is descriptive. The PMRI technique learning is carried out in this study by providing student worksheets. The task of students to discuss each other's problems with different levels of difficulty, followed by two PISA-like mathematics problems in quantity content and the context of Palembang tourism. The results showed that students' average creative thinking skills were at a moderate level, with fluency and elaboration indicators appearing the most. However, only a few students have indicators of originality. Overall, the creative thinking ability of grade VII students in answering PISA-like mathematics problems in the quantity content and Palembang tourism by utilizing the PMRI approach is good because students can imagine questions because they use content and contexts that they have experienced.

What Do Indonesian and Dutch Teachers Find Challenging When Implementing Realistic Mathematics Education?

At the end of the sixties of last century, the development of Realistic Mathematics Education (RME) started in the Netherlands. At the beginning of this century, the Indonesian adaptation of RME, Pendidikan Matematika Realistik Indonesia (PMRI), started. The implementation of RME / PMRI has proven to be challenging. In this research, a qualitative case study was used to investigate teachers’ perceptions and experiences in implementing RME/PMRI in their classes. Semi-structured interviews were conducted with several Dutch and Indonesian teachers who have joined the RME/PMRI training. We found similarities and differences between the two groups of teachers. Both groups of teachers understand the use of context as a starting point for students to construct mathematical understanding. The Dutch teachers considered the construction of interesting mathematical problems and the use of the guided-reinvention principle as the difficulties but motivated them to do more practice. Indonesian teachers mentioned that for them, the integration of mathematics with other subject areas for integrated thematic learning in the 2013 curriculum was their constraint but it was also a challenge for them to be more creative. These perspectives can become a reference for the development of a localized implementation of learning trajectory in classroom practices.

Students’ problem-solving ability in solving algebra tasks using the context of Palembang

This descriptive research aimed to know students' problem-solving ability in arithmetic operations on algebra forms through an Indonesian realistic mathematics education, namely Pendidikan Matematika Realistik Indonesia (PMRI), approach in secondary school number 17 Palembang. The learning process, material, and assessment used were principles and characteristics of PMRI. The data collection technique was done by two students' activities and the written test to measure students' problem-solving abilities. The written test, which referred to the indicators of problem-solving ability, was given after the learning process. This study's findings indicate that Palembang's context helps students comprehend algebraic arithmetic operations. The principles and characteristics of PMRI play an essential role in enhancing students' problem-solving skills. To conclude, students develop and solve problems by modeling based on their mathematical ideas. In addition, students must be able to develop problem-solving strategies in which they employ a variety of procedures.

Designing Learning Trajectory for Teaching Fractions Using PMRI Approach with a Chessboard Context

The concepts of fractions and their operations is one of the materials that elementary school students need to master it. This research aims to produce student’s learning trajectory in understanding the concept of fractions. The approach used is Pendidikan Matematika Realistik Indonesia (PMRI) Approach and the media used is a chessboard. The use of the chessboard context is the initial activity in learning and followed with several questions related to the context used. The research method used is design research with type of validation studies. The research subjects in this study were three students in fourth grade of Madrasah Ibtidaiyah (MI) Al Munawwarah Jambi City. This research produces a learning trajectory (LT) which contains a series of learning processes that assist students to understand the concept of fractions. Based on the results of the research, it was found that the learning trajectory using a chessboard context could assist students to understand the concepts of fractions well.
 Keywords: Learning Trajectory, Fractions, PMRI, Chessboard

KEMAMPUAN PENALARAN MATEMATIS PESERTA DIDIK PADA MATERI PENYAJIAN DATA MENGGUNAKAN PENDIDIKAN MATEMATIKA REALISTIK INDONESIA (PMRI)

This study aims to determine the students' mathematical reasoning ability in presenting data using Pendidikan Matematika Realistik Indonesia (PMRI). This type of research is descriptive qualitative research. The subjects in this study were 5 students in grade 7. The data collection technique used in the study was a description test which consisted of 5 questions, and interviews. The results obtained after carrying out the research were that there were 2 students who gave rise to all indicators of the student's ability, the other 2 students were quite good at mathematical reasoning abilities. However, the student's mistake was not paying attention or reading the questions carefully and thoroughly. So that the student does not solve the problem in accordance with what was instructed in the question. In addition, there is one student who uses reasoning that focuses on solving problems based on what he observes. These students do not work in accordance with what the questions are instructed to do and do not carry out the mathematical process in working on the questions.

Students’ mathematical reasoning ability in solving PISA-like mathematics problem COVID-19 context

This study aims to use the Pendidikan Matematika Realistik Indonesia (PMRI) approach to measure the mathematical reasoning ability of grade VII students in answering PISA-like mathematics problems on number content in the context of COVID-19. This study employs descriptive research with 34 participants from a junior high school in Palembang, Indonesia. Tests, interviews, and observations were utilized to collect data. The method of analysis adopted is descriptive. Google Meet is used to facilitate learning. Learning the PMRI technique was accomplished in this study by assigning sharing and jumping tasks. That is, assignments for students to discuss with each other have different levels of difficulty, followed by two exam questions. In the context of COVID-19, the test questions are PISA-like maths problems. The results show that students’ average mathematical reasoning skill is 63,037, with mathematical manipulation a common indicator. Most students have exhibited indications for presenting conjectures. However, only a few students have put down indicators for drawing logical conclusions, so drawing logical conclusions is an indicator that students rarely see. Overall, grade VII students' mathematical reasoning skills in answering PISA-like mathematics questions on number material in the context of COVID-19 utilizing the PMRI approach is good since students are used to modeling contextual problems such that mathematical manipulation indicators occur.

Learning Trajectory of Dilation and Reflection in Transformation Geometry through the Motifs of Bamboo Woven

Cultural diversity around students can be integrated into learning mathematics in the classroom. Yet, Indonesian students still have difficulty applying mathematical concepts to solve problems related to everyday life, such as dilation and reflection in transformation geometry. Therefore, this study aims to design the dilation and reflection in transformation geometry learning trajectory using the motifs of bamboo woven. This context was used as the starting point in the learning process by applying the Pendidikan Matematika Realistik Indonesia approach. The research method used is design research consisted of three stages: preliminary design, teaching experiment, and retrospective analysis. This study describes how the motifs of bamboo woven made a real contribution for ninth-grade students to understand the concept of dilation and reflection in transformation geometry. The design experiments showed that this context can stimulate students to understand their knowledge of the idea of dilation and reflection in transformation geometry. All of the strategies and models that students find illustrate and discuss show how the construction or contribution of students can be used to help their initial understanding of the reflection and dilation.

PROJECT-BASED MATHEMATICS LEARNING: FRUIT SALAD RECIPES IN JUNIOR HIGH SCHOOL

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.

Improving Student Learning Outcomes with the Application of Pendidikan Matematika Realistik Indonesia (PMRI)

Pendidikan Matematika Realistik Indonesia (PMRI) is a learning tool that places students as subjects in learning and the learning process uses real-world contexts as a medium in their learning so as to help students understand the material being studied. The purpose of this study is to determine the application of PMRI in the learning process to improve student learning outcomes in the Social Arithmetic material of students VII of SMP Amanah Bangsa. This research was conducted using Classroom Action Research, which is a study that aims to determine the improvement of student learning outcomes. The subjects used in the study were 30 people, namely the number of all grade VII students at SMP Amanah Bangsa. The instruments used are observation and test. After carrying out the research and going through the data analysis process, the results of the analysis showed that there was an increase in student learning outcomes with the application of PMRI, namely in the initial test obtained an average score of 44.00 with a percentage of completion of 23.33 percent, increased in cycle I to 64.00 with a percentage of completion of 56.67 percent and increased significantly in cycle II to 79.00 with a percentage of completion of 83.33 percent.

Kemampuan Berpikir Kreatif Siswa dalam Mem-posing Masalah menggunakan Pendekatan Pendidikan Matematika Realistik Indonesia

This research aims to obtain a picture of how students' creative thinking abilities in proposing problems using Pendidikan Matematika Realistik Indonesia (PMRI) approach on the material of number patterns. This research uses descriptive research with the research subject is students of class VIII at SMP Negeri 15 Palembang. The learning process in the class was carried out by the PMRI approach. Data collection techniques used in this study were tests, observations, and interviews. Observations were made to see the indicators that emerge when the learning process was carried out. Tests were conducted to determine students' creative thinking abilities when working on and proposing problems. At the same time, interviews were used to confirm answers to student test results. The results are divided into five levels, namely level 0 to level 4, with different characteristics at each level. In this research, there are four students with very creative abilities, 18 students with creative abilities, two students with less creative abilities, and two students with non-creative abilities. The difference in each level is based on fluency, flexibility, and novelty in posing problems.

On teaching learning for proportion using musi tour context

This study aims to produce a learning trajectory that assist student to understand in the study of proportion. The learning approach used Pendidikan Matematika Realistik Indonesia (PMRI). This research used design research that are three phases, preparing for the experiment, the design experiment, and the retrospective analysis. Musi tour context used in the series of learning activities to developing Hypothetical Learning Trajectory (HLT). Then, HLT has been designed compared with actual learning during the teaching experiment. Theoretical development implemented through an interactive process on three phases of design research that aims to giving contribution about Local Instruction Theory (LIT) for assist student studying proportion. Interviews, video recordings, photograph and giving pretest and posttest are undertaken to collect the data. The result of the retrospective analysis is Musi tour context as a learning model can assist student understand in the study of proportion.

Designing reasoning problem of linear equations with two variables through compare and exchange activities

This study aims to design reasoning problems of linear equations with two variables through comparing and exchange activities. This is focused on how students use the compare and exchange activities to find a way to solve linear equations with two variables with mathematics concepts in human’s daily activities is chosen as a design underlines activities in the design based on a Realistic Mathematics Education (RME). RME based teaching has been adopted by countries including Indonesia with the so-called Pendidikan Matematika Realistik Indonesia (PMRI).This study was used to design research as an approach. We first develop hypothetical learning trajectories (HLT) of the learning we designed. Data collected in this study included students’ written works, observation notes, and video-records. The data were analyzed by comparing the actual learning process and the hypothetical learning trajectories (HLT). The data also showed that the students’ activities to be more flexible strategies to solve for equations.

INNOVATION IN LEARNING PROPORTION USING PROPORTION TABLE

This study aims to develop learning of direct and inverse proportion by using proportion tables based on Pendidikan Matematika Realistik Indonesia (PMRI) approach. Data were collected from preliminary test results, classroom observation, field notes, student activity sheets, test answer sheets, and interviews conducted on students grade VII at Islamic Junior High School Al-Azhar 12 Rawamangun. Based on the results of the retrospective analysis, PMRI characteristics have a role in developing direct and inverse proportion. Students' activities in observing the context presented can train students to develop learning strategies and explore the use of proportion tables. The proportion table can present the students' informal thinking processes and assist students in solving problems related to direct and inverse proportion. The use of student construction results in each meeting contributes to assisting students in understanding the direct and inverse proportion. The conceptual relevance of this study attracts students' attention because the context is given close to student life. Thus, the proportion table can help students to understand the proportion so that they can resolve the proportion problems.

INNOVATION IN LEARNING PROPORTION USING PROPORTION TABLE

This study aims to develop learning of direct and inverse proportion by using proportion tables based on Pendidikan Matematika Realistik Indonesia (PMRI) approach. Data were collected from preliminary test results, classroom observation, field notes, student activity sheets, test answer sheets, and interviews conducted on students grade VII at Islamic Junior High School Al-Azhar 12 Rawamangun. Based on the results of the retrospective analysis, PMRI characteristics have a role in developing direct and inverse proportion. Students' activities in observing the context presented can train students to develop learning strategies and explore the use of proportion tables. The proportion table can present the students' informal thinking processes and assist students in solving problems related to direct and inverse proportion. The use of student construction results in each meeting contributes to assisting students in understanding the direct and inverse proportion. The conceptual relevance of this study attracts students' attention because the context is given close to student life. Thus, the proportion table can help students to understand the proportion so that they can resolve the proportion problems.

The Roster context in angle learning for Primary School pre-service teachers

This study aims to develop angle learning through Pendidikan Matematika Realistik Indonesia (PMRI) approaches for primary school pre-service teachers. The method used was design research consists of three stages: preliminary, teaching experiment, and retrospective analysis. The study was conducted six primary school pre-service teacher (PGSD). Data were collected by observation, interviews, video recording, fhotos and filed notes. The roster context was used as a starting point in developing the learning. The results of the study were in the form of a learning trajectory on student activities when finding the type of angle and determine the magnitude of angle on octagram.

IMPLEMENTASI PMRI DALAM MATERI SIFAT KOMUTATIF DAN ASSOSIATIF PADA BILANGAN BULAT UNTUK LEVEL SISWA SD/MI

Abstract Implementing PMRI in teaching process using a little sheet box and straw as a media for helping students in learning commutative and associative properties in integer numbers is the aim of this study. Design research is used as appropriate means to achieve the aim; conducted in three phases: preliminary design, teaching experiment (first and second cycle), and retrospective analysis. This study enables students to work with contextual situations within integer numbers properties; uses media tool (a straw and little sheet box). Pendidikan Matematika Realistik Indonesia (PMRI) underlies the design of the context and the activities. Sample of population is students from Madrasah Ibtidaiah Negeri 1 Palembang. This study involves fourth grade students, 3 students in first cycle and 36 students in second cycle (4 students were analyzed in detail). The result of this study could show that the activities could bring students’ learning from the contextual situation to more formal situation. The activities within this study have been succeed to be implemented in this school so that these activities could be used for the others.

Pembelajaran Pecahan dengan Menggunakan Manik Susun

This study aimed to design a learning path which can help students to understand fractions based on Pendidikan Matematika Realistik Indonesia (PMRI) approach. The subject is 30 students of 4th grade of PP Qodratullah Langkan. Method of this research is design research, Hypothetical Learning Trajectory (HLT) developed from learning activity series using context stacked beads. The implementation of this research in 3 stages: preparing the design experiment, conducting the learning (the design experiment), and retrospective analysis in order to contribute to Local Instruction Theory support to students in studying fractions. The designed Hypothetical Learning Trajectory (HLT) is then compared to Actual Learning Trajectory (ALT) students during the learning to analyze whether students learn or not from what has been designed in the learning sequence. A retrospective analysis of the implementation of learning suggests that the use of the stacking bead context can help students understand fractions.