scholarly journals PEMBELAJARAN BERBASIS ETNOMATEMATIKA DENGAN MEMODELKAN MOTIF BATIK GAJAH MADA

Author(s):  
Umy Zahroh

Abstract This research was based on mathematics learning in schools that are too formal and theoretical, and are less varied so it affects students' interest in learning mathematics. For this reason, a connection between mathematics outside of school and school mathematics is needed. One way that can be used is to utilize the ethnomathematics approach as the beginning of formal mathematics teaching which is suitable with the students' level of development who are at a concrete operational stage. The same thing was stated that the presence of mathematics with cultural nuances would make a major contribution to school mathematics. The objectives of this research were (1) to find out mathematical activities in the form of numerating, measuring, and calculating in batik activities. (2) To find out the mathematical concepts of geometry and geometrical transformations contained in batik motifs. This research used ethnographic research with a qualitative approach. Data collection techniques used were observation, interviews, and documentation. Data analysis technique used data reduction, data presentation, drawing conclusions and verification. The results showed that (1) in the batik activity at the Gajah Mada Tulungagung batik production house there were mathematical activities in the form of counting when determining the number of tools and materials needed, measuring fabric, calculating night requirements, calculating color comparisons, calculating waterglass requirements, and when calculating water needs. Measuring activity is seen during the process of measuring fabrics and designing batik patterns. The next step of counting activity is seen during the process of cutting fabric from 60 yards into 27 pieces, calculating the plastisin required for 2 meter fabric, and when mixing several colors. (2) There is a mathematical concept of geometry in the form of points, curved lines, triangles and circles, and the concept of geometrical transformation in the form of translation Keywords: Ethnomatematics, Mathematics, Culture, Batik Abstrak Pembelajaran matematika di sekolah yang formal dan teoritis, serta kurang bervariasi akan mempengaruhi minat peserta didik dalam mempelajari matematika. Untuk itu diperlukan keterhubungan antara matematika di luar sekolah dengan matematika sekolah. Salah satu cara yang dapat digunakan adalah dengan memanfaatkan pendekatan ethnomathematika sebagai awal dari pengajaran matematika formal yang sesuai dengan tingkat perkembangan siswa yang berada pada tahapan operasional konkrit. Hal yang sama dikemukakan bahwa kehadiran matematika yang bernuansa budaya akan memberikan kontribusi yang besar terhadap matematika sekolah.  Penelitian ini bertujuan (1) untuk mengetahui aktivitas matematika berupa membilang, mengukur, dan menghitung pada aktivitas membatik. (2) Untuk mengetahui konsep matematika geometri dan transformasi geometri yang terdapat pada motif batik. Penelitian ini menggunakan jenis penelitian etnografi dengan pendekatan kualitatif. Teknik pengumpulan data yang digunakan adalah observasi, wawancara, dan dokumentasi. Dalam menganalisis data menggunakakan reduksi data, penyajian data, menarik kesimpulan dan verifikasi. Hasil penelitian menunjukkan bahwa (1) dalam aktivitas membatik di rumah produksi batik Gajah Mada Tulungagung terdapat aktivitas matematika yaitu berupa membilang saat menentukan banyaknya alat dan bahan yang diperlukan, mengukur kain, menghitung kebutuhan malam, menghitung perbandingan warna, menghitung kebutuhan waterglass, dan saat menghitung kebutuhan air. Aktivitas mengukur terlihat saat proses mengukur kain dan mendesain pola batik. Selajutnya aktivitas menghitung terlihat saat proses pemotongan kain dari 60 yard menjadi 27 potong, menghitung kebutuhan malam untuk kain 2 meter, dan saat mencampur beberapa warna. (2) Terdapat konsep matematika geometri berupa titik, garis lengkung, segitiga, dan lingkaran, serta konsep transformasi geometri berupa translasi, rotasi, dan refleksi Kata Kunci: Etnomatematika, Matematika, Budaya, Batik

2021 ◽  
Vol 17 (1) ◽  
pp. 159
Author(s):  
Gidion Indra Saputra ◽  
Melda Jaya Saragih

<p>One of the objectives of learning mathematics is to develop students' understanding of mathematical concepts to be able to solve math problems. In mathematics learning, understanding concepts is very important because by understanding concepts students can learn higher order thinking skills. However, through a test at the observation stage, the researchers found that students had difficulty understanding mathematical concepts. The purpose of this study was to see whether the application of the Numbered Heads Together method influences students’ understanding of mathematical concepts. The research was conducted on 32 seventh grade students at Rantepao Christian Junior High School using qualitative descriptive research. Data sources in this study include student work results, mentor observation sheets, tests, and researcher reflection journals. The results of the study show that the application of the Numbered Heads Together method can help develop students' understanding of the mathematical concept.</p><p><strong>BAHASA INDONESIA ABSTRACT: </strong>Salah satu tujuan dari pembelajaran Matematika adalah mengembangkan pemahaman konsep matematik siswa untuk dapat menyelesaikan masalah Matematika. Dalam pembelajaran Matematika, memahami konsep sangat penting karena dengan memahami konsep Matematika siswa dapat mempelajari ketrampilan berpikir yang lebih tinggi. Namun, melalui test pada tahap observasi, peneliti menemukan bahwa siswa mengalami kesulitan dalam memahami konsep Matematika. Tujuan penelitian ini adalah untuk melihat dampak penerapan metode Numbered Heads Together terhadap pemahaman konsep matematis siswa. Penelitian dilakukan kepada 32 siswa kelas VII di SMP Kristen Rantepao dengan menggunakan jenis penelitian deskriptif kualitatif. Sumber data dalam penelitian ini antara lain: hasil pekerjaan siswa, lembar observasi mentor, tes, dan jurnal refleksi peneliti. Hasil penelitian menunjukkan bahwa penerapan metode Numbered Heads Together dapat membantu mengembangkan pemahaman konsep matematis siswa.</p>


2021 ◽  
Vol 17 (2) ◽  
pp. 118-125
Author(s):  
Rina Febriana

Learning mathematics less favored by students is a severe problem. This study aimed to improve mathematics learning outcomes in terms of mathematical concepts understanding using the RME approach. The research design used is quasi-experimental, with a pretest-posttest control group design. The data analysis technique used is the t-test. The population in this study is the third-grade students of SD Muhammadiyah Nitikan (Munita) Yogyakarta, Indonesia, with a sample of 10 students whose learning process is carried out online. The data was collected through a test of mathematical concepts understanding. The data were analyzed descriptively to determine the improvement of the average of mathematical concepts understanding. Based on the results of data analysis, the average initial score was 38.70, and the final test was 75.30. This result increases students' ability to understand mathematical concepts using the RME approach.


2020 ◽  
Vol 5 (2) ◽  
pp. 229
Author(s):  
Citra Utami ◽  
Rien Anitra ◽  
Usinah Robert Moseki

The understanding of mathematical concepts has an important role in one of the knowledge and activity skills in mathematics learning according to NCTM. On the other hand, self-regulated learning is one aspect that also determines the success of students' mathematics learning. Facts in the field, the understanding of concepts, and self-regulated learning students' are still low. Based on this, the need for contextual learning and the existence of teaching aids in learning mathematics. The purpose of this study is to find out the increase in understanding of the concept, the effect of self-regulated learning toward the understanding of concepts, and describe the understanding of the concept. This research is a mixed-method with a combination model used in Sequential Explanatory Design. The subjects were fourth-grade elementary school students in the city of Singkawang. In the qualitative part, taking the subject is to randomly select 1 student from the criteria of understanding the concepts that arise. Data collection instruments used were tests and questionnaires. The data analysis technique used is the scoring, N-Gain test, simple regression test, and quantitative descriptive. The results of this study showed: (1) there is an increase in understanding of concepts in RME learning assisted by PANDU; (2) there is a significant influence between self-regulated learning and the understanding of concepts in RME learning assisted by PANDU, and (3) the understanding of concepts in learning RME assisted by PANDU has an average of 79.63.


2021 ◽  
Vol 2 (2) ◽  
pp. 1-9
Author(s):  
Himmatin Nur Fadila

The background of the problem studied in this study is the similarity between Intelligence Quotinet (IQ), memorizing the Qur'an and learning mathematics outcomes. IQ is characterized by rational, analytical, linear, absorbing mathematical concepts, systematic, logical order. Memorizing the Qur'an refers to the ability to systematically use concepts. Mathematics learning outcomes refer to the ability to think logically, analyze, critically, communicate and reason. The purpose of this study was to determine the relationship between Intelligence Quotinet (IQ) and Al-Qur'an Memorizing Achievement on Mathematics learning outcomes for fourth grade students of MI Wahid Hasyim. The type of research used is quantitative. The variables of this study consisted of independent variables and dependent variables. The independent variables are Intelligence Quotinet (IQ) and Al-Qur'an Memorizing Achievements, while the dependent variable is the fourth grade students' mathematics learning outcomes. The research population is students at MI Wahid Hasyim. The research sample is all fourth grade students. Research instruments include observations, interviews with teachers and student worksheets. The data analysis technique in this study used multiple regression test with the help of SPSS 23 software and Microsoft Exel.The results of the study prove that there is a relationship between Intelligence Quotinet (IQ) and Al-Qur'an Memorizing Achievement on mathematics learning outcomes. T-test Independent Samples Test N-gain that has been done obtained data that Sig. is 0.00 less than <0.05 and the average value of N-gain class 0.04 is in the medium category. So it can be concluded that there is a significant relationship between Intelligence Quotinet (IQ) and the achievement of memorizing the Qur'an on mathematics learning outcomes.


2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Clara Ika Sari Budhayanti

Mathematical media is one of the keys to the success of achieving mathematics learning goals. Learning mathematics will be more effective when using mathematical media in the process. The use of mathematical media in the learning process is not just about attracting students' interest and attention, but the media is a bridge to explain abstract mathematical concepts. Mathematical media functions as concrete modeling of mathematical concepts. The average elementary school teacher Mardi Waluya, has an old paradigm in carrying out mathematics learning. Mathematics is taught starting from concepts, formulas, and then applied in story problems as a model of problems in everyday life. This way of learning makes students experience boredom and even does not like learning mathematics. The use of mathematical media in learning is still less varied. The use of mathematical media is usually only on certain concepts or material. The development of mathematical media is less done because the teacher does not know how the media was developed to explain a mathematical concept. Mathematics media development training conducted with PGSD, Unika Atma Jaya has greatly assisted teachers in developing ideas about mathematical media. The activities in the training aim to make the teacher understand the important things needed to develop mathematical media. Teachers are invited to experience how easy it is to learn mathematics by using mathematical media that has been prepared by the resource person. Every activity recognized by the teacher is able to inspire the teacher in developing mathematics media. Examples of how to make and use mathematical media provided are very helpful for teachers in creating mathematical media by utilizing simple materials and tools. But the teachers also hoped for further training, both related to the mathematics media and learning methodsABSTRAKMedia matematika merupakan salah satu kunci keberhasilan pencapaian tujuan pembelajaran matematika. Pembelajaran matematika akan lebih efektif apabila menggunakan media matematika dalam prosesnya. Penggunaan media matematika dalam proses pembelajaran bukanhanya sekedar menarik minat dan perhatian siswa, namun media menjadi jembatan untuk menjelaskan konsep matematika yang bersifat abstrak. Media matematika berfungsi sebagai pemodelan konkrit konsep matematika. Rata-rata guru SD Mardi Waluya, memiliki paradigma lama dalam melaksanakan pembelajaran matematika. Matematika diajarkan mulai dari konsep, rumus, dan kemudian diaplikasikan dalam soal cerita sebagai model masalah dalam kehidupan sehari-hari. Cara pembelajaran yang demikian membuat siswa mengalami kebosanan bahkan menjadi tidak suka belajar matematika. Penggunaan media matematika dalam pembelajaran masih kurang variatif. Penggunaan media matematika biasanya hanya pada konsep atau materi tertentu saja. Pengembangan media matematika kurang dilakukan karena guru tidak tahu bagaimana media dikembangkan untuk menjelaskan suatu konsep matematika. Pelatihan pengembangan media matematika yang dilakukan bersama PGSD, Unika Atma Jaya sangat membantu guru dalam mengembangkan ide-ide mengenai media matematika. Aktivitas-aktivitas dalam pelatihan bertujuan agar guru memahami hal-hal penting yang diperlukan untuk dapat mengembangkan media matematika. Guru di ajak untuk merasakan bagaimana mudahnya belajar matematika dengan menggunakan media matematika yang sudah disiapkan narasumber. Setiap aktivitas diakui oleh guru mampu menginspirasi guru dalam mengembangkan media matematika. Contoh-contoh bagaimana membuat dan menggunakan media matematika yang diberikan sangat membantu guru-guru dalam menciptakan media matematika dengan memanfaatkan bahan dan alat sederhana. Namun guru-guru juga berharap adanya pelatihan lebih lanjut, baik terkait dengan media matematika maupun metode pembelajarannya. 


Technology has significantly emerged in various fields, including healthcare, government, and education. In the education field, students of all ages and backgrounds turn to modern technologies for learning instead of traditional methods, especially under challenging courses such as mathematics. However, students face many problems in understanding mathematical concepts and understanding how to benefit from them in real-life. Therefore, it can be challenging to design scientific materials suitable for learning mathematics and clarifying their applications in life that meet the students’ preferences. To solve this issue, we designed and developed an interactive platform based on user experience to learn an advanced concept in the idea of linear algebra called Singular Value Decomposition (SVD) and its applicability in image compression. The proposed platform considered the common design principles to map between the provider in terms of clear mathematical explanation and the receiver in terms of matching good user experience. Twenty participants between the ages of 16 and 30 tested the proposed platform. The results showed that learning using it gives better results than learning traditionally in terms of the number of correct and incorrect actions, effectiveness, efficiency, and safety factors. Consequently, we can say that designing an interactive learning platform to explain an advanced mathematical concept and clarify its applications in real-life is preferable by considering and following the common design principles.


Horizon ◽  
2021 ◽  
Vol 1 (4) ◽  
pp. 724-732
Author(s):  
Irma Dian Pratama ◽  
Dewi Yuliana Fitri ◽  
Lita Lovia

This research is motivated by the low learning outcomes of students' mathematics. Low learning outcomes are characteristics of students experiencing obstacles or obstacles during the learning process. This study aims to describe and analyze the factors that cause students' learning difficulties in mathematics. The sample of this study amounted to 32 students of class XI IPS 4 SMA Negeri 2 Sungai Limau. The type of research used is descriptive research with a quantitative approach. The instrument used is a learning difficulty questionnaire, interview sheets and documentation to strengthen the results of the questionnaire answers. The data analysis technique of this research is the analysis of questionnaires and interviews. The results of this study indicate that: 1) internal factors that affect learning difficulties are described as follows, in the indicator of readiness in learning as much as 71.8% in the category of very influential on the learning process, on motivation indicators as much as 29% in the category of being quite influential in the learning process , on the indicator of interest as much as 53% with the category influential in the mathematics learning process and the health indicator as much as 50.6% with the category having an effect on learning mathematics. 2) external factors that affect learning difficulties in mathematics are as follows, indicators of family factors in learning as much as 37.5% with a category that is quite influential on the mathematics learning process, on school indicators as much as 51.5% with categories that affect the online learning process and on environmental indicators community as much as 39.6% with the category quite influential on the student learning process.


2016 ◽  
Vol 7 (2) ◽  
pp. 221-230
Author(s):  
Rosida Rakhmawati

Culture-based education has a vital role of individuals and communities to achieve progressivity in all aspects of life. Math-based culture called ethnomathematics is an approach that can be used to explain the role of mathematics in a multicultural society. Mathematical concepts used to explore the existence of mathematics in culture, especially traditional societies of Lampung. This study aims to describe the results of exploration Lampung Ethnomathematics with this kind of exploratory research as well as an ethnographic approach. The results showed that without studying the mathematical concept, traditional society of Lampung have applied these concepts in their daily lives using ethnomathematics. Proved the existence of mathematical concepts contained in custom home building, the local unit of  Lampung, geometric shapes motif of tapis, as well as traditional games Lampung. Researchers suggest the results of this study to (a) used as alternative ideas mathematics learning outside the classroom, (b) introduced in learning formal mathematics as initial capital to teach the concept of mathematics to students, (c) be used as reference material for preparing a matter of mathematical problem-solving context.


2020 ◽  
Vol 3 (1) ◽  
pp. 77-88
Author(s):  
Mukti Sintawati ◽  
Mifta Rudiyanta ◽  
Muhammad Nuryanto

Learning mathematics in elementary school is expected to adjust to the cognitive development of students. Abstract mathematical concepts make students need help to understand them. This study aims to develop mathematics learning media geometry for 4th grade elementary school students. This development research uses the Borg & Gall research model which was carried out to the seventh stage, namely research and information collecting, planning, developing preliminary form a product, preliminary field testing, main product revision, main field testing, and operational product revision. Product trials were conducted at Ngablak Public Elementary School. Data collection instruments were using a questionnaire. The questionnaire used to assess the appropriateness of the media was an expert validation assessment sheet, while the teachers’ assessment sheet and students’ response questionnaire were used to determine the practicality of the product. The validation results from the experts obtained that the Magic Geometry media was declared very appropriate to be used in learning mathematics with an average score of 4.45. The results of the teacher practicality assessment were stated to be very practical with a score of 4.9 and the student’s response questionnaire received an average score of 4.2 with a practical category. The results of the student response questionnaire also showed that Magic Geometry made learning becomes more interesting and materials easier to understand.


2020 ◽  
Vol 21 (3) ◽  
pp. 314-323
Author(s):  
Eliéverson Guerchi Gonzales ◽  
Kátia Guerchi Gonzales ◽  
José Matheus Pinheiro da Fonseca da Silva

ResumoA pesquisa teve como objetivos investigar e analisar as concepções de Matemática, da aprendizagem de Matemática e do pensamento matemático dos acadêmicos dos primeiros semestres dos cursos de Engenharia Elétrica, Engenharia da Computação e Engenharia Ambiental de uma instituição privada de Ensino Superior, localizada na cidade de Campo Grande, Mato Grosso do Sul, Brasil. Trata-se de uma pesquisa qualitativa realizada com os ingressantes do ano de 2018. Nesta pesquisa foram utilizados questionários, juntamente com entrevistas sob a luz da História Oral. Para análise, foram necessários dois movimentos: um no trabalho das narrativas produzidas pelas entrevistas e outro em relação aos questionários. As análises, a partir dos questionários, permitiram identificar, de modo geral, manifestações de concepção Matemáticas coesas predominante, como também, do pensamento Matemático especulativo. Quanto à concepção em relação à aprendizagem de Matemática, as manifestações foram equivalentes. Sobre as concepções dos estudantes na disciplina de Geometria Analítica e Álgebra Linear (GAAL), a concepção de aprendizagem de Matemática foi a instrumental, a concepção de Matemática se revelou coesa e o pensamento matemático permeou entre o investigativo e o exato. Nas entrevistas, tanto as concepções que se referem à Matemática, de maneira geral, quanto às concepções da disciplina de GAAL, foram as mesmas. Identificam-se as concepções de aprendizagem de Matemática relacional, a concepção de Matemática coesa e o pensamento Matemático especulativo. Palavras-chave: Concepções de Matemática. Geometria Analítica e Álgebra Linear Aprendizagem. AbstractThis paper investigates and analyzes mathematics conceptions, mathematics learning and mathematical thinking of the first semester students from Electrical Engineering, Computer Engineering and Environmental Engineering courses of a private Higher Education institution, located in the city of Campo Grande, Mato Grosso do Sul, Brazil. This is a qualitative research conducted with the freshmen of the year 2018. In this research, questionnaires were used, together with interviews in the light of Oral History. For the analysis, two approaches were necessary: first looking into the narratives produced by the interviews and a second one with associated questionnaires. The questionnaire analyzes allowed us to identify, in general, manifestations of predominant cohesive mathematical conceptions, as well as, of speculative mathematical thinking. As for the comprehension associated with learning mathematics, the manifestations were equivalent. Regarding the students' mathematical concept of Analytical Geometry and Linear Algebra (AGLA), the concept of learning mathematics was the instrumental one, and so the mathematics concept proved to be cohesive with investigative and exact mathematical thinking. In the interviews, both the concepts that refer to mathematics and the AGLA discipline were the same. Concepts of relational mathematics learning, the concept of cohesive mathematics and speculative mathematical thinking were identified. Keywords:. Mathematics Conceptions. Analytical Geometry and Linear Algebra Learning.


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