Jurnal Math-UMB.EDU

EKSPLORASI ETNOMATEMATIKA PADA TARI LUKAT KARYA KOMUNITAS SENI DAMAR ART BANYUWANGI

2025-06-24T15:40:58+08:00

Matematika tidak hanya hadir dalam ruang kelas, tetapi juga melekat dalam kehidupan sehari-hari masyarakat melalui aktivitas budaya, salah satunya dalam seni tari. Pendekatan etnomatematika menjadi cara untuk mengungkap keberadaan konsep-konsep matematika yang tersembunyi dalam praktik budaya lokal. Salah satu wujud konkret dari integrasi antara budaya dan matematika dapat ditemukan dalam Tari Lukat, sebuah karya seni kontemporer yang terinspirasi dari ritual tradisional Seblang Olehsari di Banyuwangi. Penelitian ini bertujuan untuk mengetahui etnomatematika pada Tari Lukat karya komunitas seni Damar Art Banyuwangi. Jenis penelitian ini adalah penelitian kualitatif dengan pendekatan etnografi. Metode pengumpulan data yang digunakan adalah observasi, wawancara, dan dokumentasi. Data yang diperoleh dianalisis melalui tahap reduksi, penyajian data, dan penarikan kesimpulan, sementara keabsahan datanya diuji menggunakan teknik triangulasi metode. Hasil penelitian menunjukkan bahwa terdapat konsep matematika pada Tari Lukat, yaitu bangun datar (segi lima, segitiga, persegi panjang, dan lingkaran), bangun ruang (setengah bola dan bola), bilangan ganjil, sudut lancip, sudut tumpul, sudut lurus, garis horizontal, serta transformasi geometri (refleksi). Selain sebagai struktur fungsional, bentuk-bentuk ini memiliki makna filosofis, yaitu solidaritas, kekuatan, penghormatan, syukur, kebanggaan, dan spiritual lainnya.

Kata Kunci: etnomatematika, Tari Lukat

PRAXEOLOGICAL ORGANIZATION OF SIMILARITY TASKS IN JUNIOR HIGH SCHOOL TEXTBOOKS ACROSS FOUR CURRICULA

2025-06-04T09:35:01+08:00

This study aims to analyze similarity task in Indonesian junior high school mathematics textbooks from four different curricula: KTSP, the 2013 Curriculum, the Revised 2013 Curriculum, and the Merdeka Curriculum, using the praxeological organization approach within the framework of the Anthropological Theory of the Didactic (ATD). The research employed a qualitative approach using a document analysis method. The subjects of the study were similarity related problems found in junior high school mathematics textbooks published by the Indonesian government, across four different curricula. Coding techniques were used as the research instrument to gather empirical data about textbook praxeology organization structures, while the analysis instrument interpreted the didactic organization between praxis elements: types of task (T) and technique (τ). The study identified nine types of task (T₁-T₉) and nine corresponding techniques (τ₁ - τ₉), which vary across curricula. A significant reduction in the number of type odf tasks was found in the Merdeka Curriculum textbook, indicating a shift in curricular focus concerning numeracy. These findings reveal that the variation in problem types and presentation approaches in textbooks is closely related to curriculum changes. This aligns with the role of textbooks as blueprints of the curriculum. Therefore, this research contributes to the development of mathematics pedagogy and provides valuable insights for teachers, textbook authors, and policymakers in designing more effective learning experiences.

Keywords: organizational praxeology, similarity, textbook, curriculum, ATD

THE EFFECT OF THE CULTURALLY RESPONSIVE TEACHING (CRT) APPROACH ON STUDENTS' NUMERACY ABILITY

2025-06-24T15:48:48+08:00

This study aims to determine the effect of the Culturally Responsive Teaching (CRT) approach on learners’ numeracy ability. This research is a quantitative study with a true-experimental approach with a pretest-posttest control group design. It involves measuring learners' numeracy ability before and after treatment through written tests. The data were analyzed using the t-statistical test to determine the significance of the difference in numeracy ability between the experimental and control groups. The results showed that learners who participated in learning with the CRT approach experienced a more significant improvement in numeracy ability compared to the control group. The findings support the application of a culturally-based approach to improve numeracy ability in a contextually and innovatively.

Keywords: Culturally Responsive Teaching, Numeracy Ability, Mathematics Learning

THE EFFECT OF TEACHING AT THE RIGHT LEVEL (TARL) APPROACH ON STUDENTS' NUMERACY ABILITY

2025-06-24T15:53:40+08:00

The numeracy ability of students in Indonesia is still relatively low. This condition encourages the need to apply a more adaptive learning approach, such as the Teaching at the Right Level (TaRL) approach. Therefore, this study aims to examine the effect of the application of the TaRL approach on improving the numeracy ability of class X students at SMAN 65 Jakarta. The method used is a quantitative research with a true-experimental approach to pretest-posttest control group design. Data were analyzed from pre-posttests using simple statistical and regression tests. After analysis, the results showed that the TaRL approach significantly improved the numeracy ability of the students, as shown by the posttest scores of the experimental group being higher than the control group.

Keywords: Numeracy Ability, Teaching at the Right Level (TaRL), Pretest-Posttest

DEVELOPING AUGMENTED REALITY-BASED COMICS IN IMPROVING COMPUTATIONAL THINKING AND NUMERACY FOR ELEMENTARY SCHOOL STUDENTS

2025-07-07T09:53:24+08:00

This research aimed to produce augmented reality-based comics to determine the effectiveness, the worthiness, and the practicality of the comics produced in improving computational thinking and numeracy skill for fifth grade elementary school students. This research and development were carried out referring to the steps developed by Borg and Gali. Thus, indicatingthat a statement items were valid. Reliability test showed that the variables were reliable, with Cronbachs Alpha values exceeding 0,60. Reliability test for Computatinal thinking and numeracy showed reliability, with a Cronbachs Alpha value of 0,762>0,60. Data Analysis techniques included preliminary test such as normality test, homogeneity test, independent sample t-test hypothesis test and efective relative. The results of the research are as follows: (1) augmented reality-based comics according to the assessment of material experts and media experts is very worthy of being tested in research to improve students' computational thinking and numeracy skills. (2) augmented reality-based comics as media with a significance value of 0.00< 0,05. The Average pretest score for Computational Thinking and Numerasy is 48,66, while in the control class, it is 49,56. The average posttest score for Computational Thinking and Numerasy in the experimental class is 74,29, whereas, in the control class, it is 65,46. (3) Augmented reality-based comics obtained significant results in improving students' computational thinking and numeracy skills, based on the results of the t-test of post-test with a significance value of 0.00<0.05 students before and after using augmented reality-based comics.

Keywords: media, comics, augmented reality, computational thinking, numeracy

STRUCTURAL EQUATION MODELS: MATHEMATICAL REASONING ABILITIES AND GEOMETRIC PROBLEM-SOLVING ABILITIES

2025-07-09T09:17:32+08:00

This study aims to test the compatibility of structural equation (SEM) models to determine the relationship between mathematical reasoning ability and geometry problem solving ability. Using an ex-post facto research design, this study took a random sample of 100 students from a total of 296 mathematics education student population at a university in Lubuklinggau. Data were collected through mathematical reasoning tests and geometry problem-solving tests, then analyzed using the Lisrel 8.8 and SPSS programs. The results of the analysis show a very significant path coefficient, which proves that mathematical reasoning ability has a positive direct relationship with geometry problem-solving ability. This means that an increase in reasoning skills will be followed by an increase in the ability to solve geometry problems. In conclusion, this study confirms the existence of a direct relationship between the two variables, where mathematical reasoning ability contributes 15.13% to the improvement of geometry problem-solving ability.

Keywords: Ability, Mathematical reasoning, Geometric Problem Solving, SEM, Lisrel

COMMOGNITIVE PERSPECTIVE ON STUDENTS’ REASONING IN COMPARING MEASURES OF CENTRAL TENDENCY USING FREQUENCY POLYGONS

2025-07-07T09:37:32+08:00

Measures of central tendency, such as the mean, median, and mode, are fundamental concepts in statistics that can be used to support decision-making. The purpose of this study is to describe how university students reason about measures of central tendency when comparing two age distributions of patients presented in the form of frequency polygons, from a commognitive perspective. This study employs a descriptive qualitative method with an exploratory approach. A total of 37 students participated in the study, four of whom were selected as research subjects—two representing the calculative category and two representing the visual-interpretative category. The research instruments consisted of one problem related to measures of central tendency and an interview guide. The problem included three questions, each presenting data in the form of frequency polygons. The data were thematically analyzed using Sfard’s commognitive framework, focusing on four components: word use, visual mediators, routines, and narratives. The findings reveal that students in the calculative category predominantly used visual mediators and routines. In contrast, students in the visual-interpretative category emphasized the use of word use to construct narratives.

Keywords: commognitive, reasoning, measures of central tendency, frequency polygon

PENGARUH PENGGUNAAN MEDIA PEMBELAJARAN MATH PUZZLE TERHADAP PEMAHAMAN KONSEP MATEMATIKA PADA MATERI PECAHAN

2025-06-24T15:44:50+08:00

Penelitian ini bertujuan untuk mengetahui pengaruh media pembelajaran math puzzle terhadap pemahaman konsep matematika pada materi pecahan siswa kelas IV SD Inpres Lakiyung Kabupaten Gowa. Jenis penelitian ini adalah kuantitatif dengan desain penelitian Quasi-Eksperimental design. Populasi dalam penelitian ini yaitu seluruh siswa kelas IV SD Inpres Lakiyung Kabupaten Gowa. Sampel dalam penelitian ini sebanyak 30 siswa dengan teknik pengambilan sampel menggunakan teknik simple random sampling. Data dalam penelitian dikumpulkan dengan menggunakan observasi keterlaksanaan pembelajaran guru dan siswa serta tes pemahaman konsep matematika siswa. Teknik analisis data yang digunakan yaitu analisis statistik deskriptif dan analisis inferensial. Hasil analisis deskriptif mengindikasikan keterlaksanaan media pembelajaran math puzzle pada kelompok eksperimen berkategori “Sangat Baik”. Selain itu, hasil analisis statistik inferensial dengan uji-t sampel independen mengindikasikan temuan signifikan, yakni adanya perbedaan skor posttest antara kelompok kontrol yang menggunakan media pembelajaran gambar dan kelompok eksperimen yang mengaplikasikan media pembelajaran math puzzle. Berdasarkan dari temuan tersebut, maka diperoleh kesimpulan bahwa terdapat pengaruh media pembelajaran math puzzle terhadap pemahaman konsep matematika pada materi pecahan siswa kelas IV di Sekolah Dasar Inpres Lakiyung Kabupaten Gowa.

Kata Kunci: math puzzle, pemahaman konsep matematika, pecahan senilai.

DEVELOPMENT OF INTERACTIVE MULTIMEDIA-BASED STUDENT WORKSHEETS (LKS) TO FOSTER STUDENTS' MATHEMATICAL CREATIVE THINKING SKILLS

2025-06-24T16:02:07+08:00

This study aims to develop a valid and practical Interactive Multimedia-Based Student Worksheet (LKS) to foster students’ mathematical creative thinking skills. The research adopts a development research design using the ADDIE model, which includes the stages of Analysis (curriculum, students, and learning material), Design, Development, Implementation, and Evaluation. Instruments used in this study consist of validation sheets for learning tools and student response questionnaires for measuring practicality. The research was conducted at SMA Negeri 6 Bengkulu City with Grade X students during the 2024/2025 academic year, focusing on the topic of arithmetic sequences and series. The results demonstrate that the developed interactive multimedia-based LKS is both valid and practical. Expert validation results indicate that the material aspect achieved an average score of 3.61 and the media aspect achieved 3.67, both categorized as “highly appropriate.” In terms of practicality, analysis of student response questionnaires yielded a score of 78.3%, which also falls into the “highly practical” category. These findings suggest that the developed LKS is a feasible and effective tool for enhancing students’ mathematical creative thinking skills in secondary education settings.

Keywords: Interactive Multimedia-Based Student Worksheet (LKS), CreativeThinking, ADDIE Development Model

KEMAMPUAN DAN RESPON MAHASISWA CALON GURU MATEMATIKA DALAM PEMBELAJARAN MATERI GEOMETRI ANALITIK

2025-06-24T15:20:26+08:00

Penelitian ini bertujuan untuk menganalisis kemampuan mahasiswa dalam menyelesaikan masalah Geometri Analitik dan melihat respon mereka terhadap pembelajaran Geometri Analitik. Metode yang digunakan adalah deskriptif kualitatif dengan subjek penelitian sebanyak 9 mahasiswa. Instrumen penelitian terdiri atas tes tertulis (tugas, UTS, UAS) dan angket respon mahasiswa. Data hasil tes dianalisis menggunakan rata-rata nilai dan diinterpretasikan. Data dari angket dianalisis secara deskriptif. Hasil penelitian menunjukkan bahwa mahasiswa memiliki pemahaman yang cukup baik terhadap materi Geometri Analitik bidang, namun mengalami kesulitan yang signifikan dalam memahami dan menyelesaikan soal Geometri Analitik ruang, terutama pada aspek visualisasi bentuk tiga dimensi dan penerapan konsep dalam menyelesaikan soal. Kesalahan umum yang ditemukan mencakup ketidaktahuan konsep, kesalahan manipulasi matematika, serta ketidakmampuan dalam menyusun langkah-langkah penyelesaian. Respon mahasiswa menunjukkan bahwa mereka membutuhkan lebih banyak contoh soal, media visual, serta penjelasan rinci dari dosen. Penelitian ini merekomendasikan penggunaan strategi pembelajaran berbasis visual, diskusi kelompok, dan tutorial sebaya yang terstruktur untuk meningkatkan pemahaman dan keterampilan mahasiswa dalam Geometri Analitik.

Kata Kunci: kemampuan, respon, mahasiswa, Geometri Analitik