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Integrating Google Earth into Scale Learning: A Learning Trajectory Through Rice Field Size Exploration Sari, Filian Yunita; Zulkardi, Zulkardi; Putri, Ratu Ilma Indra; Susanti, Ely
Edumatica : Jurnal Pendidikan Matematika Vol 15 No 2 (2025): Edumatica: Jurnal Pendidikan matematika (Agustus 2025)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/edumatica.v15i2.44693

Abstract

Students' difficulties in understanding the concept of scale, both conceptually and applicative, are caused by learning that is still abstract and has minimal connection to the real context, so it is necessary to present learning that is more meaningful and applicable. This study aimed to produce a learning trajectory for the concept of scale through rice field size exploration using Google Earth. The approach employed was design research of validation studies type, which encompassed three stages: design preparation, design experiment, and retrospective analysis. The study was conducted at State Junior High School 1 Belitang involving two classes, eight students from class VII.3 and thirty-one students from class VII.4. Data was collected through student activity sheets, observations, and interviews, then analyzed qualitatively using descriptive methods with triangulation techniques. The results showed that learning trajectory for the concept of scale starting from measuring images, comparing sizes in images and actual sizes, making model representations through double number lines, discussing the concept of scale and applying scale in real calculations. The study implied the importance of contextual digital media in fostering meaningful and concrete understanding of mathematical concepts.
A local instructional theory for learning the concept of arithmetic sequence through pocah piring game Putri, Dhea Anisah; Zulkardi; Ely Susanti; Meryansumayeka
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.29672

Abstract

The nth-term formula is an arithmetic sequence subtopic that contributes significantly to explaining the fundamental concept of an arithmetic sequence. This study aimed to design a Local Instructional Theory (LIT) based on Realistic Mathematics Education (RME) to find the nth-term formula in an arithmetic sequence through the Pocah Piring game. This study was conducted on eighth-grade students in Palembang, Indonesia. This study used educational design research with a validation study, starting with a preliminary design, design experiments, and retrospective analysis. The learning trajectory in this study begins with rich circumstances that require mathematical reasoning rather than abstraction or exact definitions. Three structured learning activities integrating the Pocah Piring game were applied to help the students explore the concept of an arithmetic sequence. To effectively teach arithmetic sequences, instruction should progress from concrete representations, such as physical manipulatives and visual patterns that help students recognise sequential structures, to more abstract forms, including symbolic expressions and general formulas. The developed LIT accurately predicted students’ thinking throughout the learning process, supporting their progression toward the intended learning objectives. Teachers are encouraged to use the LIT derived from this study to guide instruction and design alternative learning pathways when teaching arithmetic sequences.
Enhancing critical thinking with realistic mathematics education: Insight from learning styles, thinking habits, and cognitive abilities Retta, Allen Marga; Putri, Ratu Ilma Indra; Zulkardi; Susanti, Ely
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.30013

Abstract

Although critical thinking is vital in 21st-century learning, mathematics classes often emphasise procedures over reasoning. Few studies have explored how students’ characteristics (learning styles, thinking habits, and cognitive abilities) interact with contextual learning approaches such as Pendidikan Matematika Realistik Indonesia (PMRI). This study aimed to describe the students’ critical thinking using PMRI as a learning approach, specifically by analysing how these abilities vary based on students’ learning styles, thinking habits, and cognitive ability levels. The context of water pH was used to explore the measures of central tendency. Students were observed based on their learning styles, thinking habits, and cognitive abilities. This study used a descriptive qualitative method with 29 eighth-grade students from junior high school in Palembang. Data were collected through tests, questionnaires (learning styles and thinking habits), and the participants’ academic records. The data were analysed using Miles, Huberman, and Saldana’s model, which involves data reduction, presentation, and conclusions. The results show that female students tend to possess “quite critical category”, while male students also show “quite critical category” category when analysed by learning style, but lower in thinking habits and cognitive ability. This implies that teaching should consider students' differences to support the development of critical thinking.
KEMAMPUAN NUMERASI PESERTA DIDIK MELALUI IMPLEMENTASI BLENDED LEARNING PADA MATERI BILANGAN PECAHAN Lestari, Ayu; Hapizah, Hapizah; Mulyono, Budi; Susanti, Ely
Jurnal Pendidikan Matematika (JUPITEK) Vol 5 No 1 (2022): 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/jupitekvol5iss1pp60-70

Abstract

This study aims to describe the numeracy skills of students in the matter of fractional arithmetic. This research method is a type of combination research. The research subjects were 31 students of class VIIU1 SMP Muhammadiyah 4 Palembang, but three people were chosen as subjects to be interviewed. The data collection techniques in this study were questionnaires, tests, and interviews. The instrument in this study is the researcher and assisted by questionnaires, numeracy questions, and interview guidelines. The data analysis technique of this research is quantitative and qualitative with the stages of quantitative data analysis. The results showed that the response of students to blended learning was good. The numeracy ability of students after being given blended learning on fractional numbers is still low. This can be seen from the results of the written test which showed that there were only 2 students in the high category, 6 in the medium category, and 23 in the low category. Based on the results of written tests and interviews that have been analyzed based on indicators of numeracy skills, students are able to using various numbers or mathematical symbols related to basic mathematics and able to analyze information displayed in various forms (graphs, tables, charts, diagrams). This can be seen in students who are able to use mathematical concepts and procedures on fractional number material. Most of the students are not able interpret the results of the analysis to predict and make decisions, because students are not used to reinterpreting the results of calculations into the context of the problem
Teaching Central Tendency Meaningfully: A Context-Based Trajectory using Water pH Levels Retta, Allen Marga; Putri, Ratu Ilma Indra; Zulkardi, Zulkardi; Susanti, Ely
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.32160

Abstract

This study aims to design a contextual learning trajectory using water pH as an anchor to help student’s understand central tendency concepts, including mean, median, and mode. The research employed a design research approach within a qualitative descriptive framework, consisting of three main stages: preliminary design, design experiment, and retrospective analysis. In the preliminary design stage, a Hypothetical Learning Trajectory (HLT) was developed and aligned with the learning objectives, ensuring that the tasks were suitable for fostering students' understanding of the central tendency concepts. The design experiment involved data collection from a pilot experiment with 6 students and teaching experiment with 29 eighth-grade students at the junior high school. Data was gathered using instruments, including student worksheets, video recordings, field notes, and test. The data collected from students’ responses were analyzed to assess their understanding of the concepts. In the retrospective analysis stage, the Actual Learning Trajectory (ALT) was compared with the predicted HLT to identify any discrepancies and assess the effectiveness of the learning activities. The results showed that integrating the PMRI approach with Project-Based Learning (PjBL) successfully engaged students and contributed to their conceptual development, reinforcing the importance of using contextual problems such as water pH in teaching statistical concepts.
Learning Translation Using Gobak Sodor Game Nizar, Harisman; Zulkardi, Zulkardi; Putri, Ratu Ilma Indra; Mulyono, Budi; Susanti, Ely
Mosharafa: Jurnal Pendidikan Matematika Vol. 14 No. 1 (2025): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v14i1.2607

Abstract

Translasi merupakan salah satu konsep dasar dalam transformasi geometri yang mengajarkan tentang pergerakan benda tanpa mengubah bentuk, ukuran, atau arah benda tersebut. Pemahaman yang baik tentang translasi dapat mengembangkan keterampilan visualisasi dan spasial siswa, yang relevan dengan berbagai disiplin ilmu seperti teknik, fisika, dan arsitektur. Penelitian ini mengintegrasikan pembelajaran translasi dengan konteks permainan gobak sodor. Penelitian ini menghasilkan lintasan pembelajaran yang berkontribusi bagi siswa untuk memahami konsep translasi. Metode design research yang digunakan, yang terdiri dari tahapan-tahapan, yaitu persiapan eksperimen, pelaksanaan eksperimen, dan analisis retrospektif. Teknik pengumpulan data yaitu dokumentasi, observasi, dan wawancara. Teknik analisis data yaitu secara kualitatif. Penelitian dilaksanakan di kelas IX, pada tahap pilot experiment dengan 8 siswa dan pada tahapan teaching experiment terdiri dari 14 siswa. Hasil penelitian menunjukkan bahwa rangkaian aktivitas berkontribusi untuk siswa memahami konsep translasi. Translation is a fundamental concept in geometric transformation, teaching the movement of objects without changing their shape, size, or direction. A good understanding of translation can develop students' visualization and spatial skills, which are relevant to various disciplines such as engineering, physics, and architecture. This study integrates translation learning with the context of the game of gobak sodor. This research produces a learning trajectory that contributes to students' understanding of the concept of translation. The design research method used consisted of the following stages: experimental preparation, experimental implementation, and retrospective analysis. Data collection techniques included documentation, observation, and interviews. Data analysis techniques used were qualitative. The study was conducted in grade IX, with eight students participating in the pilot experiment and 14 students participating in the teaching experiment. The results showed that the series of activities contributed to students' understanding of the concept of translation.
DESIGN LEARNING OF ARITHMETIC SEQUENCE USING STAIR CONTEXT TO SUPPORT STUDENTS' CONCEPTUAL UNDERSTANDING Danil C, Fransisco; Zulkardi, Zulkardi; Susanti, Ely; Meryansumayeka, Meryansumayeka
Prima: Jurnal Pendidikan Matematika Vol 9, No 3 (2025): PRIMA : Jurnal Pendidikan Matematika
Publisher : FKIP Universitas Muhammadiyah Tangerang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31000/prima.v9i3.12886

Abstract

AbstractThis research aimed to design arithmetic sequence learning based on Indonesian Realistic Mathematics Education (PMRI) with the context of stairs to support students' conceptual understanding. The study employed a design research methodology, structured into three key phases: the preliminary design, the design experiment, and the retrospective analysis. The research was conducted on grade 10 students of MA Al-Ittifaqiah Indralaya using Student Activity Sheets (SAS) designed based on the PMRI approach.The results showed that the context of the stairs was effective in helping students recognize the arithmetic sequence pattern concretely. In the initial activity, students were able to observe and record the pattern of staircase height and understand the fixed difference between stairs. However, most students struggled to construct a general formula in the form of formal symbols, although they managed to calculate patterns for complex cases such as the 901st or 2001st stair logically. This difficulty prompted a revision of the SAS to simplify the symbols and questions and to use concrete terms that were easier for students to understand.Revisions to the lesson design included the removal of confusing symbols, the reduction of repetitive problems, and a stepwise approach to linking concrete patterns with formal symbols. This study concluded that although the PMRI approach was effective in improving students' understanding of the concept of arithmetic sequences, further guidance was needed to improve students' symbolic ability. The findings contributed to the development of learning designs that were contextual, effective, and relevant to students' needs.
Analisis Kemampuan Siswa dalam Memahami Soal Literasi Matematika dengan Berbantu Game Berbasis Android Suryani, Eka; Susanti, Ely; Aisyah, Nyimas
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 4 No. 4 (2024): October - December 2024
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v4i4.2501

Abstract

Keterampilan dalam perumusan, penerapan, dan interpretasi matematika sangat bergantung pada kemampuan literasi. Oleh karena itu, pemahaman siswa terhadap literasi matematika dapat ditingkatkan dengan menggunakan permainan sebagai alat pengajaran. Game berbasis Android tidak digunakan dalam eksperimen sebelumnya yang mencoba meningkatkan pemahaman matematika. Tujuan penelitian ini adalah untuk mengetahui seberapa efektif siswa memahami permasalahan literasi matematika dengan menggunakan media permainan berbasis Android. Dalam penelitian ini, metodologi deskriptif kualitatif digunakan dengan melibatkan 26 siswa kelas VII MTs GUPPI Sukamoro. Penelitian ini menggunakan soal deskripsi literasi matematika yang terdiri dari enam pernyataan yang disesuaikan dengan tahapan indikator literasi matematika. Penilaian tertulis dan wawancara digunakan untuk mengumpulkan data. Setelah dua kali tes, hasil tes menunjukkan peningkatan skor jawaban sebesar 96%, sehingga kemampuan pemahaman siswa terkait soal literasi matematika melalui game android dapat menjadi acuan dalam pembelajaran.
Lintasan Belajar pada Materi Lingkaran Berbasis STEAM dengan Konteks Gasing untuk Mendukung Kemampuan Berpikir Kreatif Peserta Didik Arin, Arin; Aisyah, Nyimas; Susanti, Ely; Susanti, Elsa
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 4 No. 4 (2024): October - December 2024
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v4i4.2521

Abstract

Kreatifitas ditunjukkan sebagai kemampuan berpikir kreatif, yang sangat penting dimiliki dalam keterampilan 4C di abad 21. Namun belum ada penelitian yang mendesain pembelajaran lingkaran berbasis STEAM untuk mendukung kemampuan berpikir kreatif. Akibatnya, penelitian ini bertujuan untuk membuat lintasan belajar lingkaran berbasis STEAM yang memanfaatkan konteks gasing untuk meningkatkan kemampuan kreatif peserta didik. Penelitian ini bertujuan untuk mengembangkan teori pengajaran lokal (LIT) dengan bekerja sama dengan pendidik untuk meningkatkan kualitas pembelajaran. Penelitian ini menggunakan metode design research tipe validation study dengan subjek penelitiannya adalah siswa kelas IX SMP Negeri 13 Palembang yang dipilih secara purposive. Data dianalisis secara deskriptif setelah dikumpulkan melalui tes tertulis, wawancara, dan meninjau dokumen. Penelitian ini menghasilkan lintasan belajar dari aktivitas yang dilakukan siswa. Lintasan belajar lingkaran ini diharapkan dapat menjadi alat dan tanda bagi pendidik dalam melakukan proses pembelajaran untuk membantu peserta didik mengkonstruksi sendiri konsep lingkaran dengan menggunakan konteks gasing.
KEMAMPUAN PENALARAN MATEMATIS SISWA PADA MATERI POLA BILANGAN MENGGUNAKAN PMRI Nabila, Siti; Zulkardi, Zulkardi; Susanti, Ely
JURNAL LEMMA Vol 10, No 1 (2023): Lemma: Letters of Mathematics Education
Publisher : Universitas PGRI Sumatera Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22202/jl.2023.v10i1.6378

Abstract

This study aims to describe students' mathematical reasoning abilities on number pattern material using PMRI. This type of research is descriptive qualitative research. This study consisted of three stages, namely the preparation stage, the implementation stage, and the data analysis stage. The research subjects were 3 class VIII students at SMP Negeri 9 Palembang. The data collection technique is a written test which consists of 2 description questions and interviews. The results of the written test which amounted to 2 description questions related to the number pattern material were used to see their abilities, while the interviews were used to clarify how the students' strategies were in answering the problems in the test questions. The data analysis technique is data reduction, data presentation, and drawing conclusions. Based on the research results, the indicators of mathematical reasoning ability that appear most often are making conjectures and finding patterns or characteristics of mathematical phenomena to make generalizations, while the indicators that rarely appear are drawing conclusions.
Co-Authors Abul Walid Adi Saputro Aditya, Pandu Adlina, Nadiyah Agustarina, Mitta Ainun Jariyah Ainun Mardia Aisyah Turidho Alimah Br Tambunan Alkaff, Nazhmiah Khaalishah Allen Marga Retta, Allen Marga Amrina Rosyada Amrina Rosyada Anak Agung Gede Sugianthara Andita, Sintia Angge Sapto Mubharokh Angge Sapto Mubharokh Annisa Oktavia Lestari Arika Sari Ardani Arin, Arin Arsan Shanie Arum Niti Wijayanti As Elly Asmaul Husna Astuti, Puji Audina, Chamila Putri Audrilia, Riski Avida Avida Avida Avida, Avida AYU LESTARI Ayu Mentari Bariyah, Leny Belinda Ambarwati Berlian, M Ridho Ratu Cecep Anwar FS Cecil Hiltri Martin Cecil Hiltrimartin Cecil Hiltrimartin Cecil Hiltrimartin Cecil Hiltrimatrin Chn, Rafika Riana Choirunisa, Choirunisa Danil C, Fransisco Darmawijoyo, Darmawijoyo Dasaprawira, M Noviarsyah Delfi, Iftina Desi Safitri Desvitasari, Tria Dewi Ananti Wulan Dewi Rawani Dhiya Qatrunnada Dian Fitriana Diki Suryanto Drajat Friansah Duano Sapta Nusantara Dwi Cahya Ramadan Dwi Hasmidyani Dyna Meriza Edy Purnomo Effendi, Firman Elfariana, Rizma Elvina, Nova Etika Prasetyani Etika Prasetyani, Etika Ety Septiati Fatimah Azzahroh Fatimah Azzahroh Febriani, Ria Filian Yunita Sari Filian Yunita Sari Firsta, Risa Rahmatia Fitra, Dian Fitrisyah, Muhammad Aidil Hapizah Harisman Nizar Hauda, Nabilah Hendrik Efendi Lumban Tobing Hijir Ardiansyah Hiriza Imron Ida Hamidah Ifana, Bernika Indrialis Ika Pratiwi Ika Pratiwi Indah Rahmasari Indaryanti Indaryanti Intan Saputri Isrokatun Isrokatun Isrok’atun Jeri Araiku Jesika Dwi Putriani Johan, Mery Khairida Fahriya Imtinan Kurniadi, Elika Lasti, Nadila Leni Maimuna Luthfi, Nurrana M David Safitra M. Arrasikh Hidayatullah Arrasikh M. Rikza Chamami M. Yusuf Maimuna, Leni Marhamah Marhamah Marina, Rini Masrukan Masrukan Mery Johan Meryansumayeka Meryansumayeka Meryansumayeka Meryansumayeka Mitha Frilia Muhammad Aidil Fitrisyah Muhammad Akbar Budiman Muhammad Yusuf Muhammad Yusup Mulyono, Budi MUSLIMIN Nabila Putri Isamer Nabila, Siti Nena A’laa Annasa Alif Nety Wahyu Saputri Ningsih, Putri Ningsih, Sri Tuti Nisa, Sholihatun Novi Susanti Novi Triana Novianti Mandasari Novita Sari Novita Sari Nugraha, Inka Verandera Nur Fitriyana Nurdiyanto, Tito Nuril Fajria Ramadhona Nuril Fajriana Ramadhona Nurrana Fitria Luthfi Nurrosyadah, Naqiyyah Nyiayu Fraisa Fatiyah, Nyiayu Fraisa Nyimas Aisyah Nyimas Aisyah Oktaviani Silaen, Elza Ostian, Dyego Pemi Purnama Sari Pertiwi, Amirah Nada Pratiwi, Weni Dwi Puja Teressa Fawensi PUJI ASTUTI Pujiati Pujiati Purwasi, Lucy Asri Purwoko Purwoko Purwoko Purwoko Puspita Sari Putra, Eko Septiansyah Putri Ningsih Putri, Debi Suci Putri, Dhea Anisah Putri, Ratu ilma Indah Rafika Riana Chn Rahmawati Rahmawati Rahmawati, Rahmawati Ramadan, Dwi Cahya Ramadhona, Nuril Fajria Rarri Bian Ryandi Ratih Handayani Ratu Ilma Ratu Ilma Indra Putri Rendi Muhammad Aris Rendi Muhammad Aris, Rendi Muhammad Reni Setiawati Reni Setiawati Risa Rahmatia Firsta Riski Audrilia S. B. Waluya, S. B. Safitra, M. David Sakiman, Novi Komariyatiningsih Sanita, Eka Saputri, Intan Sari, Arika Sari, Filian Yunita Sari, Pemi Purnama Scristia, Scristia Setiyowati, Nadiah Sholihatun Nisa Silaen, Elza Oktaviani Simarmata, Ruth Helen Sindi Citra Rahayu SISKA NINGSIH Siti Mistima Maat Situmorang, Gresilia Somakim, Somakim SRI RAHAYU Sujinal Arifin Sukmaningthias, Novika Sukmaningtias, Novika Suparmi, Etty Supratik Suryani , Eka SURYANI, EKA Susanti, Elsa SYAHRIAL SYAHRIAL Tatag Yuli Eko Siswono titin wijayanti Titin Wijayanti Tito Nurdiyanto Tobing, Hendrik Efendi Lumban Triana, Novi Trisia Wati Trisna Wulandari Turidho, Aisyah Uswatun Hasanah Utami, Marta Risa Putri Vera Yuliana Vira Putri Ermanda Widya Auliya Oktaviana Wijaya, Aldi Putra Wilda Halimatunisa Winda Nursantika Wulan, Dewi Ananti Wulan, Dewi Ananti Wulandari, Trisna Yanna Sanova Yefsi Desty Ania Yonanda, Pramestry Yuliana FH Yulianita Yunita Sari Manalu, Yunita Sari Yurika Mariani Yusuf Hartono Zuli Nuraeni Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi _