Realistic Mathematics Education Approach Research Articles

Pengembangan Modul Ajar Berdiferensiasi Berbasis Kurikulum Merdeka dengan Pendekatan Pendidikan Matematika Realistik

This research is development research and aims to produce a teaching device in the form of an emancipated curriculum-based module with a realistic mathematics education approach that is valid, practical, and effective. This research employs the 4- D development model conducted on the seventh grade students at SMPN 1 Kwandang, North Gorontalo Regency, in the first semester of the academic year 2022/2023. The results indicate that the quality of the developed product meets the criteria of validity, practicality, and effectiveness. This is proven by the validation results for the teaching module, where the average score given by the validators is 96.8%, indicating that it is categorized as highly valid. The analysis of the practicality aspect during the small-scale trial yielded scores ranging from 81% to 100%, meeting the criteria of being highly practical. The large-scale trial also indicates an average score of 100% with a highly practical rating. The effectiveness aspect was analyzed based on the students learning test results, which had an average score of 92.0%. In conclusion, with a realistic mathematics education approach, the emancipated curriculum-based mathematics teaching module is valid, practical, and effective for algebra material in seventh grade at SMPN 1 Kwandang. 

Examining 5th Grade Students' Learning on Surface Area Calculations with Realistic Mathematics Education Approach

The fact that the mathematics course is abstract, that it is not possible to associate it with daily life, and that it is impossible to concretize abstract expressions causes a prejudice against the this course and leads to a decrease in the academic achievements of students. It is seen that throughout history, various studies have been carried out taking this situation into consideration. A group of these studies is on realistic mathematics education. Realistic mathematics education is an approach that aims to concretize the abstract concepts of mathematics by relating them to real-life situations. The purpose is to make mathematics more understandable by concretizing it. In the study, the subject of calculating the surface area of prisms with the use of realistic mathematics education was taught, and the purpose of the study was to examine the effects of this application. The study group consisted of 20 5th grade students. While determining this group, maximum variety sampling strategy was preferred. In the study, action research, one of the qualitative research methods, was used, and the data were interpreted with the help of descriptive analysis and content analysis. The data collection tools in the study included semi-structured interview forms, video recordings, photos and activity sheets prepared by the students under the guidance of the researcher in accordance with the realistic mathematics education approach. When the findings were examined, it was seen that the students showed a positive development in the meaning and visualization processes; that they could reach mathematical inferences on their own; that they enjoyed the mathematics lesson; and that the realistic mathematics education approach gave positive results on learning. Based on these results, it was suggested that not only the application of the realistic mathematics education approach for different acquisitions but also the inclusion of these activities in the textbooks in accordance with the curriculum will result in improvements in favor of learning.

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.

Realistic Mathematic Education (RME) Approach Assisted By Time Board Displays on The Mathematical Cognitive Abilities of Elementary School Students.

This research is motivated by the low ability of elementary school students in mathematics subjects, especially mathematical cognitive abilities, so an approach is needed to provide the right solution to this problem. The aim of this research is to find out how much influence the Realistic Mathematic Education (RME) approach assisted by time board teaching aids has on students' mathematical cognitive abilities. The research method used is an experimental method with a quasi experimental approach, with a pretest-posttest control group design, with comparative test analysis techniques for the experimental class and the control class. The results of this research showed that the average pretest score for mathematical cognitive abilities in the experimental class was 67.68 and the average posttest score was 90.77 and the N-Gain score was 68.34% with the effectiveness category being quite effective, while in the control class the average pretest score was 64.74 and posttest. 71.48 and an N-Gain score of 16.36% in the effectiveness category, namely not effective. Meanwhile, the results of the comparative test stated that the value of t = 11.62 with Sig. (one-sided p and two-sided p) 0.00 < 0.05 then H0 is rejected, which means that there is an influence between the Realistic Mathematic Education (RME) approach assisted by time board teaching aids on the mathematical cognitive abilities of class III students at SDN Cinere 1. By implementing the RME approach it is hoped that Students are more active and confident in expressing their opinions during discussions, exchanging ideas to understand and solve problems, so that mathematical cognitive abilities increase.

MATHEMATICAL LITERACY SKILLS BY USING REALISTIC MATHEMATICS EDUCATION-BASED WORKSHEETS

This research aims to measure students' mathematical literacy skills after using e-worksheets based on the Realistic Mathematics Education (RME) Approach. This research uses a descriptive qualitative approach. Students in class VIII of SMP N 1 Talang Kelapa, each with low, medium, and high literacy skills, were the subjects of this research. The categorization of students is based on the number of mathematical literacy components resulting from student answers on the test. Data was collected through observation, tests, and interviews. The purpose of observation is to measure the implementation of learning through RME, and the test is to measure students' literacy skills. In data analysis, the elements that appear most frequently are communication, mathematization, and the use of symbolic, formal, and technical language operations. Component 1 appears when students write a statement containing information about a problem and representing the results obtained. Component 2 emerges when students create a mathematical model of the problem, and component 7 emerges when students use formal forms that conform to mathematical definitions and rules. The results of learning observations carried out using e-worksheets based on the RME approach show that learning can be said to be of good quality according to the established criteria.

Learning Circle Using Gobak Sodor Game Context In Eighth Grade

This research aims to produce a learning trajectory that can help students understand the concept of circles using the Indonesian Realistic Mathematics Education (PMRI) approach. This research takes the context of the traditional game "gobak sodor" which developed from an informal form to a formal form. The research method used is a research design that involves three stages, namely preparing for the experiment, experimental design, and retrospective analysis. This research was carried out in eighth grade class in one of Junior High School in Palembang involving 34 students. PMRI is the basis for the learning context and activities in this research. Data collection includes taking student work results, interviews, and observations. The results of the research produced a learning trajectory that supports understanding the concept of circles from informal to formal form, which involves one activity of playing "gobak sodor," collecting data through observation and measurement, as well as interpreting data and observations. The results of the learning activities show that the series of activities carried out can help students understand the concept of circles.

Alur belajar perbandingan trigonometri dengan konteks bianglala

The Ferris wheel is one of the rides at the night bazaar and is often encountered by students. This is a potential for math learning. Through Realistic Mathematics Education (RME) approach, students learn mathematics with contexts close to students' lives as a starting point. Therefore, this study aims to design a learning trajectory using the RME approach with a Ferris wheel as a context in the learning process to support students' understanding of learning trigonometric comparison. The research method used is a type of design research called validation studies, which consists of three stages: preliminary design, design experiment, and retrospective analysis. The subjects of this study were 27 class X students from SMAN 3 Sungai Penuh. The instruments used are videos to see the learning process and when students work on the given problems, and photos to see the results of student work. The results of the study explored the learning trajectory practiced by using the Ferris wheel as a context, which is seen in students' daily activities. The learning trajectory consists of four activities, namely sketching a simpler Ferris wheel, redrawing the parts of the Ferris wheel where seats A and B are, measuring and comparing sides in a right triangle, and determining trigonometric comparisons.

PENGARUH MEDIA JERUK BALI MELALUI PENDEKATAN PMRI MATERI LUAS DAN KELILING BANGUN DATAR KELAS VI

This research aims to investigate the influence of using Bali orange media through the Realistic Mathematics Education (PMRI) approach on the subject of area and perimeter of flat shapes among sixth-grade students at SDN 7 Gondosari. The research method employed is quantitative descriptive. The sample was obtained using Nonprobability Sampling technique with a total sampling method, involving a population of 36 students, which also represents the sample size in this study. The data collection instrument used was a test. Data collection techniques involved observation, tests, and documentation. The research findings indicate that the average learning outcome, previously at 50, increased to 70. Therefore, the use of Bali orange media influences students' learning outcomes.

Validitas LKPD dan Video Pembelajaran Materi Operasi Hitung Bentuk Aljabar Berbasis Pendekatan PMRI dengan Konteks Kantin Sekolah

Algebra is a very important material to study because algebraic concepts are widely used in subsequent material and are useful in solving mathematical problems in everyday life. The aim of this research is to determine the validity of LKPD and learning videos on algebraic arithmetic operations based on an Indonesian realistic mathematics education approach. The research method used is development research developed by Tessmer with two stages, namely the preliminary stage (analysis and design) and the formative evaluation stage (self evaluation, expert review, one to one, small group, and field test. In this research the focus is on the formative evaluation, one of which is an expert review. From the results of the validation carried out by the expert review, an average assessment percentage of 76.11% was obtained with the criteria being quite valid or usable with slight revision. The validation assessment indicators are content, construct and language

LINTASAN BELAJAR: ANALISIS DATA FASE A DALAM KONTEKS MAKANAN KHAS BERBAHAN DASAR SINGKONG DARI KARANGNONGKO DENGAN PENDEKATAN PMRI

This research aims to explore the learning trajectory of data analysis in the Fase A class using the case study or action research method in the context of traditional food from cassava with the PMRI (Indonesian Realistic Mathematics Education) approach. The focus of this research is on the diversity of traditional foods made from cassava. The research method used is action research which involves Fase A class students in understanding and analyzing data related to traditional food that uses cassava as the main ingredient. Through the PMRI approach, students are encouraged to understand not only the mathematical aspects of the data, but also the cultural aspects and local wisdom related to the food. The results of this research indicate that by applying PMRI in teaching, students can be more actively involved in collecting, analyzing and interpreting data about traditional cassava food. They learn how to convert quantitative information into a deeper qualitative understanding of the rich culture around them

Results Testing the Validity of Media Puzzle Digital Game with a Realistic Mathematics Education Approach for Kindergartens

Learning in kindergarten now has entered the era of digital development. Kindergarten students are in a unique process of growth and development because they are a golden generation. So the use of media is important because it can increase children’s learning motivation. The purpose of the results of this study is to produce a product in the form of a digital puzzle game media with a Realistic Mathematics Education (RME) approach for kindergartens. The method in this article uses 4 stages, namely 1) potential and problems, 2) data collection, 3) product design, 4) design validation. The output that has been achieved in this study is that a valid digital puzzle game based of RME product is produced on validity tests from material experts and media experts. Based on the results of the average assessment obtained from material experts that is equal to 88.61% and the average assessment of media experts is equal to 91.39%. From the results of the two validators, a total average of 90% was obtained, so it can be concluded that the digital puzzle game based of RME media is suitable for use by kindergarten students.

Effectiveness of Mathematics Learning Using PMRI Approach with the Assistance of Learning Videos on Students' Critical Thinking Ability

This research aims to determine the effectiveness of mathematics learning through the Indonesian Realistic Mathematics Education (PMRI) approach assisted by learning videos on the critical thinking abilities of class VIII students at SMP Negeri 2 Baubau. This research is quantitative research using a quasi-experimental model. The student population consisted of class VIII students at SMP Negeri 2 Baubau, totaling 11 classes using a cluster random sampling technique so that the samples were class 8.2 and 8.3. The instruments used in this research were interviews and learning outcomes tests using N-gain analysis techniques and independent sample t test N-gain. Based on the research results, the results in the experimental class were in the effective category. This can be seen from the results of the N-gain score analysis showing the average N-gain score of 79.51 or 79.5%. Meanwhile, in the control class in the ineffective category, this can be seen from the results of the N-Gain score analysis showing that the average N-gain score is 25.16 or 25.2%. Meanwhile, from the results of the independent sample t test N-gain hypothesis test value, the Sig value was obtained. (2-tailed) is 0.000<0.05. Thus, it is concluded that there is a significant (real) difference in effectiveness between the use of the Indonesian realistic mathematics education (PMRI) approach assisted by learning videos and the use of conventional approaches to improve the critical thinking mathematical abilities of class VIII students at SMP Negeri 2 Baubau.

Peningkatan kompetensi profesional guru SD melalui pelatihan pengembangan Iceberg matematika realistik berbasis budaya lokal

Mathematics education needs to be taught meaningfully using problem contexts and facilitating reasoning, modeling, collaboration, and connection with other mathematical concepts. This community service project aimed to train primary school teachers in developing Realistic Mathematics Education (RME) 'icebergs' utilizing the local cultural context of Magetan. Twelve primary school teachers in Magetan participated in the RME training, which focused on developing the RME 'icebergs' through exploratory and contextual approaches. The research method included face-to-face sessions, group discussions, and individual tasks to design relevant learning materials. The training results showed significant improvement in the understanding and application of RME. Before the training, teachers faced challenges in engaging students in grades 4-6 and in using local context in mathematics teaching. Post-training, 67% of the teachers demonstrated a positive change in their teaching approach, shifting from lecture and drill methods to an RME-based approach. Additionally, 50% of the participants successfully developed RME icebergs that integrated problems within the local cultural context of Magetan. The training evaluation indicated that over 50% of participants responded positively, showing increased knowledge about realistic mathematics and the application of culturally contextualized problems. The conclusion of this study asserts that the RME approach, especially when combined with local cultural context, is effective in enhancing mathematics teaching skills and enriching numeracy literacy among primary school teachers. The implications of this research suggest integrating RME into the primary school mathematics curriculum to develop critical thinking, creativity, and collaboration skills in students, in line with the demands of the 21st century

PENGEMBANGAN PEMBELAJARAN DENGAN PENDEKATAN PMRI UNTUK MENINGKATKAN KEMAMPUAN LITERASI MATEMATIS BERBUDAYA LOKAL JAKARTA

The results of the preliminary study show that students' mathematical literacy skills on the topic probability was low. This is caused by teachers' conservative teaching methods and students who are not familiar with literacy matters. The presentation of opportunity material is not fully adequate to guide students in learning. This research aims to develop learning designs with a Realistic Mathematic Education (RME) approach with local Jakarta culture on opportunity material using the Gravemeijer and Cobb model which consists of three stages, namely experimental preparation), experimental implementation), and retrospective analysis. The research subject was Health Vocational School Mulia Karya Husada class XI. The learning design in question is a learning path known as Hypothetical Learning Trajectory (HLT). HLT is a learning flow consisting of learning objectives, learning activities, and learning process hypotheses to predict how students think and understanding will develop in the context of learning activities. The research results show that there was an increase in students mathematical literacy abilities.

Hypothetical Learning Trajectory of Sector Area and Arc Length Using the Clockwork Context

Students' understanding on the concept of a circle especially the relationship between central angle, arc length, and sector area of the circle based on learning obstacle and learning trajectory need to be developed well by creating a good didactic design. Therefore, it is necessary to design hypothetical learning trajectories (HLT) for students in learning sector area and arc length using the clockwork context. The didactical design was developed through three stages, namely: (1) the preliminary design; (2) teaching experiment; and (3) retrospective analysis. This study focused on the first stage, since the main purpose of this research was to develop a series of learning activities to delve into the concept of sector area and arc length as proportional problem in the form of HLT. The HLT was designed using a realistic mathematics education (RME) approach. There are three anticipated learning obstacles in the design of the activities, including errors related to the concept of the relationship between arc length, circle circumference, sector area, and circle area; errors related to the concept of the relationship between the central angle, arc length, and sector area of a circle; as well as errors related to the connection of concepts in circle material with other mathematical material; and students' difficulties in problem solving questions.

SYSTEMATIC LITERATURE REVIEW: PEMBELAJARAN PECAHAN MENGGUNAKAN PENDEKATAN PENDIDIKAN MATEMATIKA REALISTIK INDONESIA

This study aims to conduct a literature review related to fractional learning with the Indonesian Realistic Mathematics Education (PMRI) approach. The method used is Systematic Literature Review (SLR). The articles that were used as a source of review in this study were 9 articles related to the application and development of the PMRI approach to the material of fractions in the period 2017-2021. Articles come from reputable journals and are indexed by sinta and proceedings are indexed by scopus. From the results of the review, it was found that there were problems related to learning outcomes, understanding concepts, and the learning process on the material of fractions. The application and development of learning with the PMRI approach has a positive impact on the development of students' conceptual understanding of the fractional number material. Through the PMRI approach, students can develop fun learning situations, because learning activities are oriented to everyday concrete situations. The use of concrete media gives a good contribution in developing students' conceptual understanding of the fraction material. The developed learning trajectory can lay an important foundation in helping the development of the concept of fractions.

Learning Design for Combinatorics with Realistic Mathematics Education (RME) Approach

The purpose of this research is to design learning combinatorics sub-material faktorial, permutation, combination and chance with RME approach. This research is a qualitative research. With this research method using design research. The research techniques used are measurement techniques, direct observation and documentation with tools in the form of objective tests, observation sheets and document sheets. The research subjects were 2 classes, namely A1 and A2 classes in the Mathematical Statistics course, especially combinatorics material totaling 35 students with the learning trajectory in the form of numbers that were applied alternately to students. The conclusion of this research is obtained: 1) in the faktorial sub-material, students are introduced to the RME approach that 4!=24, 3!=6, 2!=2, 1!=1until it is proven that 1!=1; 2) in the permutation and combination sub-material, students are directed to be examples of the same numbers and letters that form the rules of permutation and combination; 3) in the opportunity sub-material, students are exemplified about coins and dice, both in one, two, and three pieces in the context of the problem.

Teaching the Rule of Product using Nature Tourism Routes

A tourism route is a sequence of tourist attractions visited. Students are familiar with tour activities and often plan tourism routes to visit several tourist attractions. Students' experience and knowledge about tourism routes can be used as a context for teaching the rule of product. Therefore, this research aims to design a learning trajectory for the rule of product using the Indonesian Realistic Mathematics Education (PMRI) approach in the Kerinci nature tourism route context. The research method used is design research with a validation study type, which consists of three stages: preparation and design, teaching experiment, and retrospective analysis. The subjects involved in this research were 11 third-semester mathematics education students at a university in Jambi, Indonesia. The instruments include learning video recordings, student work results, field notes, and test sheets. The research results show that learning trajectories designed in the context of tourism routes can help students discover, understand, and use the rule of product in solving relevant mathematical problems. The learning tracjectory consists of four activities: making a list of Kerinci tourist attractions, determining the location of several tourist attractions on a sketch map, arranging tourist attractions in tourism routes, and solving problems regarding possible tourism routes. This research shows that the designed learning trajectory is vital in helping students discover and understand the rule of product and apply them to solving relevant problems.

Ways of Developing Creative Thinking and Reasoning of Students in Mathematics Learning

Reasoning skill is one of the main components of mathematical competency (NCTM, 2014). Mathematics students use mainly two types of reasoning skills namely imitative reasoning and creative reasoning in solving mathematical tasks. The textbook tasks in our context are of routine types which are solvable using imitative reasoning. Most mathematics teachers use prescribed textbooks in lesson planning and teaching (Thomson & Fleming, 2004) which ultimately promotes imitative reasoning among the students as compared to creative reasoning. Moreover, many mathematics teachers still follow the traditional chalk-and-talk banking pedagogy which does not support the enhancement of creative thinking and reasoning skills. This literature-based research study has identified some of the ways to develop the creative thinking and reasoning skills of mathematics students through the intense study of the available research articles, thesis, and books in the field of mathematical thinking and creativity. This study has found the positive impact of productive struggle and adversity quotient on students’ creative thinking and reasoning skills. Likewise, problem-posing and problem-solving skills have been found to be essential skills for enhancing creativity. This study has also found modern student-centric teaching approaches like the ADI (Argument-Driven Inquiry) approach and the RME (Realistic Mathematics Education) approach beneficial in improving reasoning skills. This study also found CMR (Creative Mathematically Founded Reasoning) tasks to be helpful in increasing the creative reasoning skills of mathematics students.

The Effect of RME Application on Mathematics Learning Outcomes

Student learning outcomes in mathematics learning are categorized as quite low, due to the lack of student participation in learning, so interesting learning methods are needed to improve student learning outcomes. The purpose of this study is to analyze  students' mathematics learning outcomes after applying the Realistic Mathematics Education (RME) approach and explain the application of the Realistic Mathematics Education (RME)  approach  which has an impact on improving students' mathematics learning outcomes. This research uses literature studies as a data collection method. The source of data in this study amounted to 10 scientific articles accessed from several sites about the effect of applying the PMR approach on students' mathematics learning outcomes. Based on a review of several literature and scientific articles that have been accessed, the author concludes that  the Realistic Mathematics Education (RME)  approach  has a positive impact on student learning outcomes. Realistic Mathematics Education (RME) can be a consideration for teachers to increase students' interest in learning so that their learning competence also increases, especially in the present.