Journal of Research and Advances in Mathematics Education
JRAMathEdu (Journal of Research and Advances in Mathematics Education) is open-access and peer-reviewed scholarly online journal managed by Department of Mathematics Education, Universitas Muhammadiyah Surakarta and published by Muhammadiyah University Press (MUP). The journal is published twice a year in January and July.
Articles
229 Documents
<![CDATA[Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style ]]>
<![CDATA[Aryo Andri Nugroho]]>;
<![CDATA[Nizaruddin Nizaruddin]]>;
<![CDATA[Ida Dwijayanti]]>;
<![CDATA[Anggi Tristianti]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 2 June 2020 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v5i2.9983
<![CDATA[Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from cognitive style. Qualitative research was used as a procedure of the study. The data was collected through MFFT questionnaires, mathematics problem tests, and interviews. This research involved 31 eighth-grade students at one of junior high school in Kendal regency, Central Java. Those two subjects represented the reflective and impulsive cognitive styles that have been selected based on their mathematical abilities. The data was analyzed through iterative method. The results of the study showed that both subjects demonstrated a different performance in solving problem. In term of fluency, both subjects used visual representations in interpreting information. On the originality, the reflective subject used symbolic representations. while the impulsive one used symbolic and verbal representations in constructing the mathematical expressions. However, both of them have not yet created new ideas in solving problems. Moreover, on the flexibility, these both subjects used visual and symbolic representations that could solve the problems by utilizing the environment objects towards the interpret problems into mathematical expressions. However, the reflective subject made a mistake in elaborating the formula as well as the impulsive subject can do it. These results indicated that both subjects have used the representation of each indicator of creative thinking in solving problems.]]>
<![CDATA[The Improvement of Communication and Mathematical Disposition Abilities through Discovery Learning Model in Junior High School ]]>
<![CDATA[Zinatun Hayati Dina]]>;
<![CDATA[M Ikhsan]]>;
<![CDATA[Hajidin Hajidin]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 4, No. 1, January 2019 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v4i1.6824
<![CDATA[The purpose of this study was to determine the improvement of students' mathematical communication and disposition abilities taught with discovery learning models. This study us quantitative approach with the type of experimental research and the research design us pretest and posttest design type experiments. The sample was chosen randomly from two classes of 7th grade in one of public junior high school in Sigli, Aceh. The research instrument used was mathematical communication ability test and mathematical disposition questionnaire. The data analysis of students' communication and disposition ability was done by two-way ANAVA test at a significant level of 0.05. The results showed that the improvement of students' mathematical communication and disposition skills taught with discovery learning models was better than those taught with conventional approaches. Furthermore, there was no interaction between discovery learning model and the level of students towards improving communication skills and mathematical dispositions. Therefore, the mathematics teachers can implement discovery learning models in learning to build the next polyhedron. Future researchers should conduct research at other schools in order to improve students' mathematical communication skills in mathematics learning]]>
<![CDATA[Exploring senior high school student's abilities in mathematical problem posing ]]>
<![CDATA[Muhtarom Muhtarom]]>;
<![CDATA[Ali Shodiqin]]>;
<![CDATA[Novita Astriani]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v5i1.9818
<![CDATA[The ability of problem posing is very essential for the student’s. However, there are still many students who don't realize the importance of these abilities. This research describes the senior high school student’s ability in mathematical problem posing, especially in the material system of linear equations in three variables. Research data were collected from 7 student’s using written test and interview techniques. The validity of the data used triangulation methods by comparing the results of written tests and interviews. Data were coded, simplified, presented, and triangulated for the credibility and conclusion drawing. The results show that there were still very few students who have all three classifications of problem posing abilities, namely pre-solution posing, within-solution posing, and post-solution posing. Students who have the ability of pre-solution posing can ask questions based on the data provided and can arrange problem solving. Students who have the ability of within-solution posing can write what is given and asked of the problem, raise supporting questions which is relevant to the problem and arrange solutions to the supporting questions and problems that are given correctly. Students who have the ability of post-solution posing can raise similar mathematics problem after solving the problem. Students can also arrange solutions to problems that have been made. Teacher needs to practice pre-solution posing, within-solution posing, and post-solution posing to the students.]]>
<![CDATA[Sixth-grade students’ experiences of a digital game-based learning environment: A didactic analysis ]]>
<![CDATA[Mustafa Gök]]>;
<![CDATA[Mevlüt İnan]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 2 April 2021 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v6i2.13687
<![CDATA[Students' conceptual understanding and mathematical process skills can be improved through digital games in mathematics education. The starting point of this study is the idea of having students encounter this kind of environment. The study didactically describes the process of 6th-grade students’ experiences of a digital game-based learning environment. A combination of the Theory of Didactical Situations (TDS) and Digital Game-Based Learning (DGBL) was used in the design of the digital game. The research focused on knowledge-based interactions (teacher-student-game) during the implementation of the game called Race with Numbers, designed in line with this synthesis. The case study, one of the qualitative research methods, was used in the study. Research participants consist of 16 middle secondary school students studying in the 6th grade in a public school. The research data were collected with a video camera and two voice recorders. The research application lasted 75 minutes. The data analysis related to the application was carried out by describing the interaction between the students and the game at stages of TDS. The study findings indicated that TDS has significant potential in designing DGBL environments. However, strong evidence is presented that such environments enable students to realize their own learning and encourage them to use mathematical process skills (such as problem-solving, reasoning, proving, and transfer). Finally, the study highlights the importance of the digital game-based learning approach in mathematics teaching for students.]]>
<![CDATA[Mathematical Representation Ability of Senior High School Students: An Evaluation from Students’ Mathematical Disposition ]]>
<![CDATA[Aflich Yusnita Fitrianna]]>;
<![CDATA[Sofie Dinia]]>;
<![CDATA[Mayasari Mayasari]]>;
<![CDATA[Astri Yuliani Nurhafifah]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 1, January 2018 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v3i1.5872
<![CDATA[The purpose of this study is to describe students’ ability in solving mathematical representation problems evaluated from mathematical disposition. The subjects are three students of 10th grade of public senior high school (PSHS) in Padalarang, West Java, Indonesia. They were selected from 35 students with high, medium, and low mathematical disposition ability. The results of the study showed that almost all of the students able to use visual representation to solve mathematical problems, and create mathematical models and solve problems by involving mathematical expressions. In contrast, most of students could not fulfill two indicators of the mathematical representation ability, i.e. creating the sketch of geometric patterns and making the mathematical model based on the situation and data given.]]>
<![CDATA[Cognitive Growth Learning Model to Improve the Students’ Critical Thinking Skills ]]>
<![CDATA[Aprilia Nurul Chasanah]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 4, No. 2, July 2019 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v4i2.8127
<![CDATA[The ability to think critically and mathematically is strongly needed so that the students are able to face the challenges of 4.0 industrial revolution. By thinking critically, they are expected to be more adaptive in finding solutions to each problem. This study aims to identify the students' mathematical critical thinking skills in solving differential calculus problem solving based on some indicators of mathematical critical thinking skills in learning using cognitive growth model. This is a Classroom Action Research (CAR) which was caried out within four weeks in the odd semester of academic year 2018/2019. The subjects of this study were the first-year students of the Mathematics Education Program in one of higher education institutions in Magelang, Central Java who took the Differential Calculus course. Data collection techniques in this study were test, observation, and interviews. The test results were then analyzed quantitatively, and the indicators of critical thinking skills in each question were also described. Based on the results of the study, it can be shown that about 30% students who begin to think critically is initiated by achieving the indicator of analyzing the arguments. However, not all students who begin to think critically are also able to draw conclusions precisely through deductive and inductive reasoning. There are only five or 16.67% who have been able to draw conclusions correctly.]]>
<![CDATA[A Van Hiele Theory analysis for teaching volume of three-dimensional geometric shapes ]]>
<![CDATA[Eunice Kolitsoe Moru]]>;
<![CDATA[Maqoni Malebanye]]>;
<![CDATA[Nomusic Morobe]]>;
<![CDATA[Mosotho Joseph George]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 1 January 2021 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v6i1.11744
<![CDATA[Geometry is among the cornerstones of mathematics because of its applicability in real life and its connection to other areas of mathematics. The reported study explored how the volume of 3D geometric shapes was taught in one high school in Lesotho. One male teacher and an intact class of sixty high school students were the participants of the study. The study was exploratory in nature. This was in order to understand the phenomenon under study so as to suggest ways on how to make some improvements for the future. Data were collected through classroom observations, photo shootings, note-taking, and interviews. Classroom observations enabled the researchers to start the analysis while also observing. The photos taken captured the nature of the tasks given to students, some explanations, and class interactions. The Van Hiele theory of geometric thought was used as the framework of analysis. The findings of the study show that at level 1, the teacher focused mainly on the vocabulary of the concept at hand, the information phase. Another phase which was dominant in the teaching at the same level is the direct orientation. The free-orientation phase was not fully realized. The analysis level was achieved through the information phase and the direct orientation phase. Thus the progression from one level to another by students occurred having some phases of learning being skipped due to the way the instruction was organized. It is postulated that lack of proper understanding of some concepts in geometry by students may result from this kind of instruction.]]>
<![CDATA[An Analysis of Students’ Difficulties in Solving Story Based Problems and Its Alternative Solutions ]]>
<![CDATA[Tika Karlina Rachmawati]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 1, No. 2, July 2016 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v1i2.3720
<![CDATA[This study aims to analyze the students’ difficulties of MTs Negeri Surakarta 1 in solving story based problems on the subject of Pythagoras along with its alternative solutions. This is a qualitative descriptive research. This study illustrates the difficulties of students in solving story based problemsof the subject of Pythagoras. Research subjects in this study is composed of three students of class IX with each capable of high, medium and low. The data collection was condducted using the test method and the method of interview. The results of this study indicate that low-ability students have difficulty in determining the direction of wind direction, understand the intent of the language that is understood about the story, the difficulty in making a mathematical model as well as difficulties in the calculation. Difficulties experienced by the studentswith medium capability are determining the drawing of wind direction, understanding the intent of the language that is understood about the story, and making a mathematical model. While the high-ability students have no significant problems in understanding a story about the subject of Pythagoras, they just forgot to add ± sign in the answers, and the unit of length in the final calculation. However, the unit length was written in the final conclusions.]]>
<![CDATA[Designing learning trajectory of circle using the context of Ferris wheel ]]>
<![CDATA[Nur Lailatul Fitri]]>;
<![CDATA[Rully Charitas Indra Prahmana]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 3 October 2020 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v5i3.10961
<![CDATA[Ferris wheel is one amusement playground that resembles a giant spinning wheel. Many students are familiar with the Ferris wheel in the mini version of it at night market festivals. This is the potential for learning mathematics. Furthermore, there is a mathematical learning approach called Indonesian Realistic Mathematics Education (IRME) where students learn with contexts which are close to students' life as starting points. Therefore, this study aims to design a learning trajectory using the IRME approach with the Ferris wheel as the context in the learning process to support students' understanding of the learning about circles. The research method is design research that consists of three stages: preliminary design, design experiments, and retrospective analysis. The subjects were 20 eighth-grade students from one of the private Junior High School in Yogyakarta. The instruments used are videos to see the learning process and when students work on the given problems, photos to refer the results of student work, and written test in worksheets to get the data on student's work. The research result explores the learning trajectory practiced using the Ferris wheel as the context seen in the student's daily activities. The learning trajectory consists of four events, namely assembling the Ferris wheel, drawing an illustration of the Ferris wheel, making a list of the circle parts, and solving a problem related to the parts of the circle. Lastly, this study shows that learning trajectory activities have essential roles in supporting students' understanding of the concept of a circle.]]>
<![CDATA[The Use of Fractional Cards for Fraction Learning in The Fifth Grade Students of Elementary School ]]>
<![CDATA[Ari Indriani]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 1, No. 1, January 2016 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v1i1.1783
<![CDATA[This research aims to investigate the use of fractional cards on teaching in the fifth grade students of Elementary School. The method used is descriptive qualitative. The researcher used observation, interview, and documentation to collect the data. The results showed that there was an increase on the students' enthusiasm for learning process, and there were 27 students (69.23%) that have a score above the Minimum Criteria of Mastery (Kriteria Ketuntasan Minimal/KKM). The study concludes that the use of fractional cards able to help the learning process on the fractions material of the fifth grade students of Elementary School.]]>
