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All Journal Cakrawala Pendidikan Jurnal Pendidikan Matematika Eduma : Mathematics Education Learning and Teaching AKSIOMA E-Dimas: Jurnal Pengabdian kepada Masyarakat Jurnal Pendidikan Matematika (Kudus) International Journal on Emerging Mathematics Education FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Thinking Skills and Creativity Journal Imajiner: Jurnal Matematika dan Pendidikan Matematika Mosharafa: Jurnal Pendidikan Matematika Plusminus: Jurnal Pendidikan Matematika Al Khawarizmi: Jurnal Pendidikan Matematika Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang Mathematics Education Journal
Irkham Ulil Albab
Universitas PGRI Semarang
Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Designing Learning Trajectory of Curved 3D Shapes using RME with The Context of Sesaji Rewanda Semarang Tuni'mah, Lattifah; Nursyahidah, Farida; Albab, Irkham Ulil; Rubowo, Maya Rini
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 8 No 3 (2024): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas IVET

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/medivesveteran.v8i3.3097

Abstract

Curved 3D shapes are one of the essential materials in geometry, but students have difficulty learning the material. Thus, this study aimed to describe a learning trajectory to aid students in comprehending curved 3D shapes in the context of the Sesaji Rewanda tradition. The method used is design research with the RME learning approach as developed by McKenney and Akker. The subject in this research is the 9th grade of SMP Negeri 6 Semarang. The resulting learning trajectory comprised 5 sets of activities, namely: (1) identifying the types and characteristics of curved 3D shapes, (2) determining the beginning of the formulas for cylinder surface area and volume, (3) determining the beginning of the formulas for cone surface area and volume, (4) determining the beginning of the formulas for sphere surface area and volume, and (5) resolve contextual problems associated to curved shapes. The 5 activities produced in this study are hopefully to encourage students to learn and become an inspiration for teachers in implementing learning.
Hyothetical Learning Trajectory On Dilation Material Using Realistic Mathematics Education and Geogebra Media Hardiyanto, Dwi; Nursyahidah, Farida; Albab, Irkham Ulil
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2024): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i2.591

Abstract

Dilation is a part of geometry transformation that is useful for students. However, students often have difficulty in understanding dilation material. Therefore, this study aims to develop a learning trajectory to facilitate students in understanding dilation material by using the context of Tedhak Siten tradition. The research subjects consisted of 32 ninth grade students of SMP Negeri 6 Semarang, which was conducted from August to September 2023. The research method used is design research which consists of three stages, namely preparing for experiment, design experiment, and retrospective analysis. All learning activities were based on the Realistic Mathematics Education approach and supported by GeoGebra media. The results of this study include three learning activities, including: observing the Tedhak Siten tradition video to find the properties and definition of dilation, finding the formula and results of dilation, and solving contextual problems related to dilation. From the activities carried out, it can be seen that learning dilation by using the context of the Tedhak Siten tradition based on RME and supported by GeoGebra media can help students improve their understanding of the concept of dilation material in class IX SMP Negeri 6 Semarang. In addition, Tedhak Siten tradition can be used as a relevant context in learning mathematics.
Development Hypothetical Learning Trajectory on Statistics Material in Grade VIII Using Realistic Mathematics Education at the Preliminary Stage with Pranata Mangsa Context Nursyahidah, Farida; Albab, Irkham Ulil; Rubowo, Maya Rini; Tuni’mah, Lattifah; Febriansyah, Muhammad Aldo; Hardiyanto, Dwi; Atmaja, Satriya Adika Arif
Jurnal Pendidikan Matematika (Kudus) Vol 7, No 2 (2024): Jurnal Pendidikan Matematika (Kudus)
Publisher : Institut Agama Islam Negeri (IAIN) Kudus

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21043/jpmk.v7i2.29180

Abstract

Statistics is a staple in the curriculum because it is considered necessary in everyday life. However, students often find statistics challenging. Students' difficulties in learning statistics are caused by several factors, including a lack of understanding of mathematical concepts and principles in solving problems. This study aimed to design and develop a Hypothetical Learning Trajectory (HLT) for grade VIII statistics using the Realistic Mathematics Education (RME) approach, with Pranata Mangsa as the learning context. The method used in this research was validation-type design research. This research produced an HLT of statistics material using pranata mangsa context consisting of 3 activities to help students understand and master the material. The activities of the HLT are 1) collecting, presenting, and analyzing data, 2) measuring centralized data, and 3) measuring data distribution. The results showed an HLT for teaching statistics using RME that can effectively support students of all ability levels. This HLT allows students to rediscover statistics concepts through horizontal and vertical mathematical processes. Finally, the HLT facilitates students to create their models from informal to formal and increases the interaction between students and teachers. Statistika menjadi materi pokok dalam kurikulum karena dianggap penting dalam kehidupan sehari-hari. Namun, pada kenyataannya statistika merupakan salah satu pelajaran yang dianggap sulit bagi siswa. Kesulitan siswa dalam belajar statistika disebabkan oleh beberapa faktor, diantaranya kurangnya pemahaman konsep dan prinsip-prinsip matematika dalam menyelesaikan soal. Tujuan penelitian untuk mendesain dan mengembangkan Hypothetical Learning Trajectory (HLT) menggunakan pendekatan Realistic Mathematics Education (RME) pada materi statistika kelas VIII menggunakan konteks Pranata Mangsa yang menjadi starting point dalam pembelajaran. Metode yang digunakan dalam penelitian ini adalah design research tipe validasi. Penelitian ini menghasilkan HLT materi statistika menggunakan konteks pranata mangsa yang terdiri dari 3 iceberg untuk membantu siswa dalam memahami dan menguasai materi. Adapun iceberg dari HLT tersebut adalah 1) mengumpulkan, menyajikan, dan menganalisi data; 2) ukuran pemusatan data; dan 3) ukuran penyebaran data. Hasil penelitian ini menunjukkan bahwa HLT mampu membantu siswa menemukan kembali konsep statistika melalui proses matematika horizontal dan vertikal. HLT memfasilitasi siswa untuk membuat model mereka sendiri dari informal ke formal dan meningkatkan interaksi antara siswa dan guru.
Penelusuran Kebiasaan Berpikir (Habits Of Mind) Matematis Siswa dalam Menyelesaiakan Soal Cerita Bilangan Pecahan ditinjau dari Gaya Kognitif Aringga, Didit; Shodiqin, Ali; Albab, Irkham Ulil
Thinking Skills and Creativity Journal Vol. 2 No. 2 (2019): October
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/tscj.v2i2.22666

Abstract

Kebiasaan berpikir merupakan kemampuan berprilaku cerdas yang dibutuhkan siswa untuk menyelesaikan masalah kompleks yang akan menghasilkan paham pemikiran yang baru. Tujuan penelitian ini adalah Untuk mendeskripsikan kebiasaan berpikir (Habits Of Mind) siswa SMP N 29 Semarang terkait dengan masalah matematis pada materi bilangan pecahan ditinjau dari gaya kognitif. Penelitian ini merupakan jenis penelitian kualitatif deskriptif yang dilaksanakan di SMP N 29 Semarang tahun ajaran 2019/2020. Dengan subjek penelitian 31 siswa kelas VII B. Untuk dapat mengetahui tingkat kebiasaan berpikir siswa maka dilakukan penelitian menggunakan angket skala psikologi, pengamatan kedalam kelas, dan pemberian soal tes. Dari hasil penelitian menggunakan triangulasi waktu, yaitu dengan membandingkan data yang diperoleh dan melakukan pengecekan dengan wawancara atau observasi dalam waktu atau situasi yang berbeda. Hasil analisis menunjukan subjek dengan gaya kognititf reflektif mampu memenuhi 14 indikator dari 16 indikator kebiasaan berpikir sehingga masuk dalam kategori memiliki kebiasaan berpikir yang baik. Sedangkan untuk subjek dengan gaya kognitif impulsif hanya mampu memenuhi 6 indikator dari 16 indikator kebiasaan berpikir sehingga masuk dalam kategori memiliki kebiasaa berpikir yang sedang. Kata kunci : habits of mind, berpikir produktif, gaya kognitif.
Learning Design of Sphere using Realistic Mathematics Education Assisted by Interactive Video Nursyahidah, Farida; Albab, Irkham Ulil; Rubowo, Maya Rini
Mathematics Education Journal Vol. 17 No. 3 (2023): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Numerous studies, particularly in sphere material, have highlighted students' challenges in grasping the notion of geometry. Typically, the teacher only teaches the subject using the formula, omitting the notion altogether. Moreover, this study intends to create a hypothetical learning trajectory for the sphere material by incorporating the Syawalan tradition from Pekalongan into the learning process through the Indonesian Realistic Mathematics Education approach, or PMRI. The methodology employed is design research, divided into three stages: preliminary design, design experiment, and retrospective analysis. As a result, this study focuses exclusively on the outcomes of the design experiment process, namely the pilot experiment. Video recordings, photographs, observations, deep interviews, documentation, field memos, and student activity sheets were all used to collect and analyze data to improve HLT. The outcome of this study is a hypothetical learning trajectory for sphere material in the context of the Syawalan tradition. The student learning sequence comprises four series, which include observing an interactive video of the syawalan tradition context to characterize sphere elements, utilizing orange fruit to find the sphere's surface area, discovering the sphere's volume through the cylinder and magic seeds, and resolving sphere-related contextual problems. Additionally, the activities devised in this study can potentially develop students' interest and conception of sphere material in the ninth grade. DOI: https://doi.org/10.22342/jpm.17.3.20040.297-312
The Learning Trajectory of Sphere Using Megono Gunungan Tradition Context Nursyahidah, Farida; Saputro, Bagus Ardi; Albab, Irkham Ulil
International Journal on Emerging Mathematics Education IJEME, Vol. 5 No. 2, September 2021
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijeme.v5i2.18313

Abstract

This study aims to develop a learning trajectory by utilizing the local wisdom of the Megono Gunungan tradition to help students grasp the sphere's notion. This research applied the approach of the Indonesian Realistic Mathematical Approach (PMRI). Ninth-grade students at SMP 38 Semarang, Central Java, Indonesia, were the subjects of this study. The methodology used is based on Graveimeijer and Cobb's three steps of design research: preliminary design, design experiment, and retrospective analysis. Numerous data collection methods were used, involving video, photography, the outcome of students' worksheets, and student interviews. The learning trajectory comprises four activities: identifying sphere components using the Megono Gunungan tradition interactive video context, discovering the sphere surfaces area using orange fruit, finding the sphere's volume through rice media, and solving problems of the sphere. This study's findings signify that the utilization of the Megono Gunungan tradition context could encourage learners to recognize the concept of the sphere through a sequence of designed activities.
Designing Learning Trajectory on Data Distribution Measurement through PMRI Nursyahidah, Farida; Albab, Irkham Ulil; Rubowo, Maya Rini
Mathematics Education Journal Vol. 19 No. 3 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v19i3.pp527-546

Abstract

The concept of data distribution measures plays a pivotal role in statistical education, fostering students’ data literacy, critical thinking, and evidence-based decision-making. Despite its importance, many students continue to struggle with interpreting statistical data, demonstrating low levels of statistical reasoning and limited ability to apply these concepts to real-world contexts. Addressing this gap, this study introduces a culturally grounded and context-based instructional design that integrates the traditional Javanese calendar system, Pranata Mangsa, into the learning of data distribution measures. The objective of this research is to develop a learning trajectory that supports students’ conceptual understanding of data distribution through meaningful and realistic mathematical experiences. This study involved 32 eighth-grade students from a junior high school in Central Java and employed a design research methodology encompassing three phases: preparation for the experiment, experimental design, and retrospective analysis. The instructional activities were implemented using the Video-assisted Pendidikan Matematika Realistik Indonesia (PMRI) approach. The resulting learning trajectory comprises three interconnected activities, namely analyzing Pranata Mangsa video content to gather and present data, deriving formulas for data distribution measures, and solving contextual problems linked to the cultural theme. The findings indicate that the integration of culturally relevant contexts and visual media in PMRI effectively enhances students’ comprehension of statistical concepts. This research contributes to the field by offering a novel approach that bridges ethnomathematical elements with formal statistical instruction and serves as a reference for future studies seeking to incorporate local wisdom into mathematics education.
Hypothetical Learning Trajectory for Ninth Graders’ Understanding of Curved Three-Dimensional Shapes through Javanese Ethno-Realistic Mathematics Education Nursyahidah, Farida; Albab, Irkham Ulil; Rubowo, Maya Rini
Plusminus: Jurnal Pendidikan Matematika Vol. 5 No. 2 (2025): July
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/plusminus.v5i2.2906

Abstract

Geometri merupakan aspek penting dalam matematika yang mendukung perkembangan kemampuan kognitif siswa. Meski demikian, pemahaman terhadap konsep-konsep geometri, khususnya yang berkaitan dengan bangun ruang sisi lengkung, sering kali menjadi kendala bagi siswa. Artikel ini bertujuan untuk menyusun dan menyajikan sebuah lintasan pembelajaran hipotetik mengenai bangun ruang sisi lengkung dengan pendekatan Etnomatematika Realistik Jawa. Penelitian dilakukan menggunakan metode design research yang mencakup tiga tahap utama, yaitu perancangan awal, pelaksanaan eksperimen pembelajaran, dan analisis retrospektif. Penelitian ini melibatkan siswa kelas IX di salah satu SMP di kota Semarang. Fokus pembahasan artikel ini berada pada tahap desain awal, yakni pengembangan hipotesis lintasan pembelajaran yang meliputi empat aktivitas utama: (1) mengenali unsur-unsur bangun ruang sisi lengkung melalui pengamatan video berbasis konteks budaya, (2) menyusun pemahaman tentang luas permukaan dan volume tabung, (3) merumuskan luas permukaan dan volume kerucut, dan (4) menemukan rumus luas permukaan serta volume bola. Rangkaian aktivitas dalam lintasan pembelajaran ini dirancang untuk membantu siswa membangun pemahaman yang lebih mendalam terhadap konsep bangun ruang sisi lengkung, sekaligus menumbuhkan apresiasi terhadap budaya lokal dan keragaman dalam berpikir matematis. Lintasan pembelajaran hipotetik ini dirancang untuk diimplementasikan pada kelas eksperimen dan pengajaran berbasis penelitian menggunakan E-RME untuk meningkatkan kemampuan pemecahan masalah matematika siswa yang merupakan novelty dari penelitian ini. Geometry plays a vital role in mathematics to foster students' cognitive growth. Nevertheless, grasping geometry concepts can be particularly difficult, especially when dealing with three-dimensional shapes with curved surfaces. This paper proposes a Hypothetical Learning Trajectory (HLT) for teaching such shapes, grounded in Javanese Ethno-Realistic Mathematics Education (E-RME). The study adopts a design research methodology comprising three key phases: initial design, experimental teaching design, and retrospective analysis. The participants in this research are ninth-grade students from a junior high school in Semarang. The article focuses on the outcomes of the initial design phase, specifically the development of an HLT that includes four learning activities: (1) recognizing components of curved surface solids through contextual video observation, (2) exploring the surface area and volume of cylinders, (3) deriving formulas for the surface area and volume of cones, and (4) discovering the formulas for the surface area and volume of spheres. This sequence of activities is intended to help students build a meaningful understanding of curved 3D objects, while also fostering an appreciation for their cultural background and encouraging diverse approaches to mathematical reasoning. The HLT developed in this study is intended for implementation in trial classrooms and experimental teaching through E-RME, with the goal of enhancing students’ problem-solving skills, which is the novelty of this research.
PENGEMBANGAN SOAL TES BERKONTEKS BUDAYA LOKAL MERON SUKOLILO UNTUK MENGUKUR KEMAMPUAN NUMERASI SISWA SMP KELAS VII Deviansyah, Putri; Rizky Esti Utami; Irkham Ulil Albab
AL KHAWARIZMI: Jurnal Pendidikan Matematika Vol. 5 No. 2 (2025): VOL 5 NO 2
Publisher : Sekolah Tinggi Keguruan dan Ilmu Pendidikan (STKIP) Melawi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46368/kjpm.v5i2.4240

Abstract

Penelitian ini bertujuan untuk menghasilkan soal tes berkonteks budaya lokal Meron Sukolilo untuk mengukur kemampuan numerasi siswa yang valid, praktis dan memiliki efek potensial. Penelitian ini merupakan penelitian R&D dengan model pengembangan 4D (define, design, develop, disseminate). Namun, pada penelitian ini tidak melaksanakan tahap disseminate. Sampel dalam penelitian ini adalah siswa SMP Negeri 1 Kayen dengan jumlah 30 siswa Kelas VII. Teknik pengumpulan data berupa wawancara, tes, angket, dan dokumentasi. Instrumen penelitian berupa lembar validasi ahli, angket respon siswa dan lembar tes. Validasi dilakukan oleh ahli instrumen tes dan uji coba terbatas. Hasil penelitian diperoleh kevalidan produk berdasarkan hasil validasi ahli instrumen tes dan uji coba terbatas. Kepraktisan produk diperoleh dari angket respon siswa dengan rata-rata presentase 81,2% kategori “sangat praktis”. Efek potensial dilihat dari respon positif siswa dan ketertarikan siswa terhadap soal tes. Dengan demikian, dapat disimpulkan bahwa soal tes yang dikembangkan dinyatakan valid, praktis, dan memiliki efek potensial.
Implementasi Teknologi, RME, dan Etnomatematika dalam Pembelajaran Matematika bagi MGMP Guru Matematika Kota Semarang Subrayon 9 Nursyahidah, Farida; Albab, Irkham Ulil; Rubowo, Maya Rini
E-Dimas: Jurnal Pengabdian kepada Masyarakat Vol 16, No 3 (2025): E-DIMAS
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/e-dimas.v16i3.24482

Abstract

Kemampuan guru dalam merancang pembelajaran matematika berbasis konteks dan teknologi masih menjadi tantangan di berbagai daerah Indonesia. Sebanyak dua puluh guru yang tergabung dalam MGMP Matematika Subrayon 9 mengikuti pelatihan untuk meningkatkan kemampuan pedagogik melalui integrasi Pendidikan Matematika Realistik (PMR) dan etnomatematika berbantuan teknologi informasi. Hasil evaluasi pra-pelatihan (pretes) menunjukkan skor rata-rata sebesar 35,53, sedangkan pasca-pelatihan (postes) meningkat menjadi 75. Peningkatan ini mengindikasikan penguatan pemahaman guru terhadap materi, metode, dan penerapan teknologi dalam pembelajaran. Integrasi teknologi informasi dapat mendorong guru mengembangkan sumber belajar interaktif, menarik, serta kontekstual (Goos, 2005). Pendekatan PMR menekankan pembentukan konsep matematika melalui konteks nyata (Gravemeijer Doorman, 1999), sedangkan etnomatematika menghubungkan konsep matematika dengan nilai dan budaya lokal (D’Ambrosio, 1985; Barton, 1996). Kolaborasi kedua pendekatan tersebut diharapkan mampu meningkatkan relevansi pembelajaran, keterlibatan peserta didik, pemahaman konsep secara mendalam, dan penguatan literasi budaya di kelas matematika.
Co-Authors Agung Handayanto Ahmad Natsir Tsalatsa Ahmad Natsir Tsalatsa, Ahmad Al Azka, Hanna Haristah Ali Shodiqin Aringga, Didit Atmaja, Satriya Adika Arif Bagus Ardi Saputro Bagus Ardi Saputro Budiyono, Asep Damayanti, Dyaz Aulia Darmawijoyo, Darmawijoyo Deviansyah, Putri Djoko Purnomo Fakhrezi, Fanny Farida Nursyahidah Farida Nursyahidah Febriansyah, Muhammad Aldo Fitriana, Diyah Ayu Fitriani, Sonia Dewi Hardiyanto, Dwi Imam Wahyudi Indrawan, Imam Wahyudi Indriani, Riski Vanny Lilik Ariyanto Maya Rini Rubowo Muhammad Prayito Muhtarom Nasika, Devi Shinta NURUL HIDAYAH Pradana, Achmad Rangga Bagus Ro'uf Rahmawati, Eka Rina Dwi Setyawati Rina Dwi Setyowati, Rina Dwi Setyowati,, Rina Dwi Rizky Esti Utami, Rizky Esti Trigita, Winda Nur Tuni'mah, Lattifah Tuni’mah, Lattifah Wahyudi, Muhammad Amin Widya Kusumaningsih Yusuf Hartono