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Students’ obstacles in solving algebra form problems viewed from mathematical problem-solving ability Wahyuni, Reni; Suwanto, Fevi Rahmawati; Sthephani, Aulia; Ahyan, Shahibul
Jurnal Infinity Vol 14 No 3 (2025): VOLUME 14, NUMBER 3, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i3.p587-606

Abstract

Mathematical problem-solving ability is the most effective cognitive instrument in learning mathematics, and enhancing students' mathematical problem-solving ability is the primary objective of education. However, to reach the most effective level of mathematical problem-solving ability, we need to comprehend the reasons behind students' challenges while learning. This research investigates the learning obstacles of the students based on their mathematical problem-solving ability, particularly in algebraic form material. The method used in this research employed qualitative study with a series of Didactical Design Research (DDR) projects to learn the obstacles to the student's mathematical problem-solving ability. Seventy-six eighth-grade students from a public junior high school in Kampar region were given a test to assess their ability to solve mathematical problems. Various research instruments are used, including tests of mathematical problem-solving ability, interview guidelines, and interviews by audio recordings. The data were analyzed using a qualitative approach to determine students' learning obstacles. The findings highlight ontogenic, epistemological, and didactical obstacles students face while understanding the problem, particularly the concept of algebraic form, interpreting the word to the mathematical concept of algebraic form, and designing the algebraic forms.
Students’ obstacles in solving algebra form problems viewed from mathematical problem-solving ability Wahyuni, Reni; Suwanto, Fevi Rahmawati; Sthephani, Aulia; Ahyan, Shahibul
Jurnal Infinity Vol 14 No 3 (2025): VOLUME 14, NUMBER 3, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i3.p587-606

Abstract

Mathematical problem-solving ability is the most effective cognitive instrument in learning mathematics, and enhancing students' mathematical problem-solving ability is the primary objective of education. However, to reach the most effective level of mathematical problem-solving ability, we need to comprehend the reasons behind students' challenges while learning. This research investigates the learning obstacles of the students based on their mathematical problem-solving ability, particularly in algebraic form material. The method used in this research employed qualitative study with a series of Didactical Design Research (DDR) projects to learn the obstacles to the student's mathematical problem-solving ability. Seventy-six eighth-grade students from a public junior high school in Kampar region were given a test to assess their ability to solve mathematical problems. Various research instruments are used, including tests of mathematical problem-solving ability, interview guidelines, and interviews by audio recordings. The data were analyzed using a qualitative approach to determine students' learning obstacles. The findings highlight ontogenic, epistemological, and didactical obstacles students face while understanding the problem, particularly the concept of algebraic form, interpreting the word to the mathematical concept of algebraic form, and designing the algebraic forms.
ETHNOMATHEMATIC STUDY: NUMBER SYSTEM AND CULTURAL MEANING IN THE SASAK TRIBE COMMUNITY Fauzi, Lalu Muhammad; Ahyan, Shahibul; Rasidi, Ahmad; Wardi, Zaotul; Gazali, Muhammad
Jurnal Pendidikan Matematika (JUPITEK) Vol 6 No 1 (2023): Jurnal Pendidikan Matematika (JUPITEK)
Publisher : Program Studi Pendidikan Matematika FKIP Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jupitekvol6iss1pp19-26

Abstract

The uniqueness and cultural diversity of traditional communities as reflected in ideas, activities and artifacts can be studied and used as a source of learning mathematics. Most people view that mathematics is not related to culture or is culturally independent. The development of mathematics in society through cultural activities can be studied through ethnomathematics studies that can bring mathematics closer to student culture. Thus, this study aims to explore the number system and cultural meaning that developed in the Sasak people which can be used as a source of learning mathematics on the island of Lombok. This research is a research with ethnographic method. Research data was collected through observation, literature study, and interviews with cultural practitioners, traditional chief leaders, traditional leaders, Sasak cultural researchers and humanists. The results of this study indicate that the development of the number system has been developing for a long time in the Sasak people. Counting activities (bejinah) use arithmetic operations as is done in general but with local terms, namely total (rombok), less (sedik), times (kali) and divide (bagi). The developing number system is understood as a number in quantitative and qualitative form, in unit or set numbers. There are 5 types of unit or set numbers known by the Sasak people, namely bond units, measuring units for solid objects, measuring units for liquid objects, area units and length units. The mathematical concepts found in the activities of the Sasak people can be used as a source of learning and as a starting point in learning mathematics
PENINGKATAN MINAT DAN HASIL BELAJAR MATEMATIKA SISWA DENGAN PENERAPAN MODEL PROJECT-BASED LEARNING MELALUI LESSON STUDY Fitri, Nurul Wahidatul; Ahyan, Shahibul; Rahman, Saiful
Jurnal Pendidikan Matematika Unpatti Vol 5 No 1 (2024): Jurnal Pendidikan Matematika Unpatti
Publisher : Program Studi Pendidikan Matematika Fakultas Keguruan dan Ilmu Pendidikan Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jpmunpatti.v4.i2.p95-103

Abstract

Penelitian Tindakan Kelas (PTK) ini bertujuan untuk meningkatkan minat dan hasil belajar siswa dengan menerapkan model project-based learning (PjBL) melalui lesson study. Penelitian ini dilaksankan dengan tiga tahapan di setiap siklus yaitu perencanaan (plan), pelaksanaan (do), refleksi (see). Instrumen yang digunakan dalam pengumpulan data terdiri dari angket dan tes. Hasil penelitian menunjukkan bahwa minat belajar matematika siswa meningkat yang ditunjukkan dengan persentasi peningkatan dari 24% menjadi 62% pada kategori sangat tinggi dan 21% menjadi 29% pada kategori minat belajar tinggi. Begitu pula dengan hasil belajar matematika siswa meningkat dari kemampuan awal 18%, menjadi 38% pada siklus I dan 79% pada siklus II dengan rata-rata hasil belajar 70,88. Berdasarkan hasil penelitian ini dapat disimpulkan bahwa penerapan model project-based learning (PjBL) melalui lesson study dapat meningkatkan minat dan hasil belajar matematika siswa kelas X.6 SMAN 1 Labuhan Haji.
An Analysis of Frieze Patterns, Crystallographic Patterns, and Philosophical Values on Subahnale Woven Motifs Sukarare Village Fauzi, Lalu Muhammad; Ahyan, Shahibul; Supiyati, Sri; Hayati, Nila; Satriawan, Rody
Mosharafa: Jurnal Pendidikan Matematika Vol. 12 No. 3 (2023): July
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v12i3.823

Abstract

Budaya dengan keberagaman dan keunikan adat istiadat, kesenian dan kerajinannya, memberikan identitas bagi suatu daerah. Keunikan-keunikan budaya ini dapat dikaji untuk dijadikan sebagai bagian dari sumber belajar. Etnomatematika merupakan jembatan untuk mengeksplorasi matematika yang berkembang di masyarakat. Dengan demikian penelitian ini berupaya untuk menganalisis pola frieze, pola kristalografi dan nilai-nilai filosofis yang terdapat pada motif kain tenun subahnale Desa Sukarare. Metode yang digunakan dalam Penelitian ini adalah metode etnografi. Data penelitian dikumpulkan melalui observasi, studi pustaka, dan wawancara dengan praktisi budaya, tokoh adat, pengerajin kain tenun dan budayawan. Hasil penelitian menunjukkan bahwa motif (reragian) kain tenun subahnale terbentuk dengan perpaduan bentuk-bentuk geometri yakni garis, segi tiga, segi empat dan segi enam. Bentuk geometri tersebut tersusun menggunakan model matematika yakni translasi, rotasi da refleksi. Adapun pola-pola yang terbentuk berupa 4 buah pola frieze yaitu pola 3, 4 ,6 dan 7. Selain itu terdapat juga pola Kristalografi yaitu pola p1, pm, dan p4m. Culture, with its diversity and unique customs, arts, and crafts, provides an identity for a region. This cultural uniqueness can be studied as part of learning resources. Ethnomathematics is a bridge to exploring mathematics that develops in society. Thus, this study seeks to analyze the frieze patterns, crystallographic patterns, and philosophical values in the subahnale woven fabric motifs in Sukarare Village. The method used in this research is the ethnographic method. Research data were collected through observation, literature study, and interviews with cultural practitioners, traditional leaders, woven cloth artisans, and humanists. The results showed that the motif (reragian) of the subahnale woven fabric was formed by a combination of geometric shapes: lines, triangles, rectangles, and hexagons. The geometric shapes are arranged using a mathematical model: translation, rotation, and reflection. The patterns formed are 4 frieze patterns, namely patterns 3, 4, 6, and 7. In addition, there are also crystallographic patterns, namely patterns p1, pm, and p4m.
Efektivitas model pembelajaran RME berbantuan GeoGebra terhadap kemampuan pemahaman konsep matematis siswa Masiani, Nawa Putri; Ahyan, Shahibul; Rasidi, Ahmad
AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 15, No 3 (2024): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/aks.v15i3.21181

Abstract

Penelitian ini bertujuan untuk mengetahui efektivitas model pembelajaran RME berbantuan GeoGebra terhadap kemampuan pemahaman konsep matematis siswa. Pada sub materi Sistem Persamaan Linear Tiga Variabel (SPLTV) dan Sistem Pertidaksamaan Linear Dua Variabel (SPtLDV). Jenis penelitian yang digunakan adalah Pre-experimental dengan one shot case study. Populasi pada penelitian ini adalah siswa kelas 10 salah satu Sekolah Menengah Kejuruan di Kabupaten Lombok Timur dengan sampel sebanyak 28 siswa. Pengambilan sampel menggunakan teknik probability sampling jenis simple random sampling. Instrumen yang digunakan adalah tes uraian atau essay. Teknik analisis data pada uji prasyarat menggunakan uji normalitas dengan Liliefors, sedangkan uji hipotesis menggunakan uji-t satu sampel atau One Sample t-test. Hasil penelitian menunjukkan bahwa t-hitung (4,201) t-tabel  (2,052). Karena t-hitung t-tabel pada taraf signifikan 5% atau 0,05 maka dapat disimpulkan bahwa Ho tidak diterima, artinya penggunaan model pembelajaran RME berbantuan GeoGebra efektif terhadap kemampuan pemahaman konsep matematis siswa.