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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.
LITERASI DIGITAL MATEMATIS DALAM MENYELESAIKAN SOAL PMRI KONTEKS WISATA PALEMBANG Hasanah, Uswatun; 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.v10i1.6379

Abstract

This type of research is a descriptive study with a qualitative approach that aims to describe students’ mathematical digital literacy skills in solving PMRI questions in the Palembang tourism context. This research was conducted because mathematical digital literacy is an important thing for students to have. In this study, test questions were distributed to determine students mathematical digital,literacy skills. The subjects in this study were grade VI Elementary School students. The implementation procedure in this study consisted of three stages, namely the preparation stage, the implementation stage, and the data analysis stage. Data collection techniques in this study were test and interviews. While the data analysis techniques in this study were data reduction, data presentation, and drawing conclutions. Based on the results of research representative with three student subjects, the aspects that most often appears are communication literacy, visual literacy and technological literacy. Meanwhile, aspects that rarely appear are information literacy and media literacy.
Numeration-Based Teaching Materials on Algebra Shape Materials for Blended Learning Safitra, M. David; Hapizah; Mulyono, Budi; Susanti, Ely
Mosharafa: Jurnal Pendidikan Matematika Vol. 12 No. 2 (2023): April
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v12i2.793

Abstract

Kebutuhan bahan ajar diperlukan untuk meningkatkan efektifitas pembelajaran dan pemahaman peserta didik. Penelitian bertujuan menghasilkan bahan ajar berbasis numerasi materi bentuk aljabar untuk blended learning yang valid, praktis dan memiliki efek potensial terhadap kemampuan numerasi peserta didik. Teknik pengumpulan data adalah angket, tes dan wawancara. Sampel penelitian ini adalah 24 peserta didik kelas VII salah satu SMP Negeri di Palembang. Kevalidan bahan ajar dilihat dari aspek kelayakan isi, bahasa, tampilan, serta komentar dan saran dari hasil uji coba one-to-one. Kepraktisan bahan ajar dilihat dari angket. Skor rata-rata kevalidan bahan ajar adalah 74,77 dengan kriteria cukup valid atau layak digunakan dengan revisi. Sedangkan skor rata-rata kepraktisan bahan ajar adalah 87,08 dengan kriteria sangat praktis. Bahan ajar yang dikembangkan memiliki efek potensial terhadap kemampuan numerasi dilihat dari hasil tes 8 peserta didik terkategori sangat baik, 9 peserta didik terkategori baik, 4 peserta didik terkategori sedang dan 3 peserta didik terkategori kurang. The need for teaching materials is needed to help improve effective learning and student understanding. This study aims to produce numeration-based teaching materials in algebraic forms for blended learning that are valid, practical and have a potential effect on students' numeracy abilities. Data collection techniques used are questionnaires, tests and interviews. The sample of this research was 24 class VII students of one of the state Junior High School in Palembang. The validity of teaching materials was seen from the aspects of content feasibility, language feasibility, display feasibility, also comments and suggestions from the results of one-to-one trials. The practicality of teaching materials can be seen from the questionnaire. The average score for the validity of teaching materials is 74.77 with the criteria being quite valid or suitable for use with revisions. While the average practicality score of teaching materials is 87.08 with very practical criteria. The developed teaching materials also have a potential effect on numeracy skills as seen from the test results with 8 students in the very good category, 9 students in the good category, 4 students in the moderate category and 3 students in the poor category.
Indonesian realistic mathematics education learning design for least common multiple material using calendar context for grade VII students Firsta, Risa Rahmatia; Meryansumayeka, Meryansumayeka; Susanti, Ely; Zulkardi, Zulkardi
Jurnal Gantang Vol 9 No 2 (2024): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/jg.v9i2.6951

Abstract

Students frequently encounter difficulties comprehending and applying the least common multiple (LCM) concepts due to traditional teaching methods lacking engagement and failing to incorporate relevant real-life contexts. Through the Indonesian Realistic Mathematics Education approach, students are expected to be able to solve the problems given related to the Least Common Multiple (LCM) topic and understand it more deeply. This research is design research with a validation study type that includes three main stages: preparing for the experiment, designing an experiment, and retrospective analysis. A literature review and needs analysis were conducted in the preparation stages to identify problems in learning this LCM topic. The design experiment stage involved using activity sheets, which were implemented into teaching and integrated the LCM concept utilizing the context of a calendar. This stage involved data collection through observation, questionnaire, documentation, and field notes. Retrospective analysis was conducted to evaluate the learning design and make revisions based on the evaluation result and feedback from students, teachers, peers, and lecturers. The result showed that using the context of the activity calendar in learning for LCM topics can enhance students’ understanding of the material and make the learning process more contextual and interesting.
Integrasi Google Maps Dalam PMRI: Analisis Kemampuan Representasi Matematis Pada Materi Matriks Elvina, Nova; Zulkardi; Susanti, Ely; Meryansumayeka
Lattice Journal : Journal of Mathematics Education and Applied Vol. 4 No. 2 (2024): Desember 2024
Publisher : Universitas Islam Negeri Sjech M. Djamil Djambek Bukittinggi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30983/lattice.v4i2.8855

Abstract

This study aims to analyse students' mathematical representation understanding on matrix material through the integration of real context-based technology. The problem raised in this research is the low ability of students in connecting matrix concepts with real-life situations. To answer these problems, this research used a descriptive qualitative approach with a case study design. The research subjects involved 29 grade XI students at SMK Negeri 1 Sekayu, who were grouped into seven groups. The sampling technique was purposive, while data were collected through tests and questionnaires. The data were analysed descriptively to identify students' mathematical representation patterns, including pictorial, symbolic and verbal representations. The results showed that the integration of Google Maps in matrix learning strengthened students' conceptual understanding through real spatial visualisation. This approach significantly improves students' ability to represent mathematical concepts, as well as encourages motivation, engagement and collaboration during the learning process. In addition, the findings underline the relevance of the real context-based approach in Indonesian Realistic Mathematics Education (PMRI), which makes learning more applicable and meaningful. The conclusion of this study is that the integration of Google Maps has a positive influence on students' mathematical representation skills, especially on matrix material. For future research, it is recommended to explore the application of similar technology in other mathematics materials and analyse its effect on students' problem solving.   Translated with DeepL.com (free version) Penelitian ini bertujuan untuk menganalisis pemahaman representasi matematis siswa pada materi matriks melalui integrasi teknologi berbasis konteks nyata. Permasalahan yang diangkat dalam penelitian ini adalah rendahnya kemampuan siswa dalam menghubungkan konsep matriks dengan situasi kehidupan sehari-hari. Untuk menjawab permasalahan tersebut, penelitian ini menggunakan pendekatan deskriptif kualitatif dengan desain studi kasus. Subjek penelitian melibatkan 29 siswa kelas XI di SMK Negeri 1 Sekayu, yang dikelompokkan ke dalam tujuh kelompok. Teknik sampling dilakukan secara purposif, sementara data dikumpulkan melalui tes dan angket. Data dianalisis secara deskriptif untuk mengidentifikasi pola representasi matematis siswa, meliputi representasi gambar, simbolik, dan verbal. Hasil penelitian menunjukkan integrasi Google Maps dalam pembelajaran matriks memperkuat pemahaman konseptual siswa melalui visualisasi spasial yang nyata. Pendekatan ini secara signifikan meningkatkan kemampuan siswa dalam merepresentasikan konsep matematis, serta mendorong motivasi, keterlibatan, dan kolaborasi selama proses pembelajaran. Selain itu, temuan ini menggarisbawahi relevansi pendekatan berbasis konteks nyata dalam Pendidikan Matematika Realistik Indonesia (PMRI), yang menjadikan pembelajaran lebih aplikatif dan bermakna. Kesimpulan dari penelitian ini adalah bahwa integrasi Google Maps memberikan pengaruh positif terhadap kemampuan representasi matematis siswa, terutama pada materi matriks. Untuk penelitian selanjutnya, disarankan untuk mengeksplorasi penerapan teknologi serupa pada materi matematika lainnya dan menganalisis pengaruhnya terhadap pemecahan masalah siswa
Co-Authors Abul Walid Adi Saputro Aditya, Pandu Agustarina, Mitta Ainun Jariyah Ainun Mardia Aisyah Turidho Allen Marga Retta, Allen Marga Amrina Rosyada Anak Agung Gede Sugianthara Andita, Sintia Angge Sapto Mubharokh Angge Sapto Mubharokh Annisa Oktavia Lestari Araiku, Jeri Arika Sari Ardani Arin, Arin Arsan Shanie Arum Niti Wijayanti 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 Hiltrimartin Cecil Hiltrimartin Chn, Rafika Riana Choirunisa, Choirunisa Danil C, Fransisco Darmawijoyo, Darmawijoyo Dasaprawira, M Noviarsyah Debi Suci Putri Delfi, Iftina Desi Safitri Desvitasari, Tria Dewi Ananti Wulan Dewi Rawani Dian Fitriana Diki Suryanto Drajat Friansah Duano Sapta Nusantara Dwi Hasmidyani Dyego Ostian Dyna Meriza Edy Purnomo Effendi, Firman Elfariana, Rizma Elvina, Nova Etika Prasetyani Etika Prasetyani, Etika Ety Septiati Febriani, Ria 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 Ismail, Norulhuda 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. Yusuf Maimuna, Leni Marhamah Marhamah Marina, Rini Martin, Cecil Hiltri Masrukan Masrukan Mery Johan Meryansumayeka Meryansumayeka Mitha Frilia Muhammad Aidil Fitrisyah Muhammad Akbar Budiman Muhammad Yusuf Muhammad Yusup Muhammad Yusup Mulyono, Budi MUSLIMIN Nabila Putri Isamer Nabila, Siti Nety Wahyu Saputri Ningsih, Putri Ningsih, Sri Tuti Nisa, Sholihatun Novi Susanti Novi Triana Novita Sari Novita Sari Nugraha, Inka Verandera Nur Fitriyana Nuradinda, Amieyah Nurdiyanto, Tito Nuril Fajria Ramadhona Nuril Fajriana Ramadhona Nurrana Fitria Luthfi Nyiayu Fraisa Fatiyah, Nyiayu Fraisa Nyimas Aisyah Nyimas Aisyah Oktaviani Silaen, Elza Pemi Purnama Sari Pratiwi, Weni Dwi Pratiwi, Weni Dwi PUJI ASTUTI Pujiati Pujiati Purwasi, Lucy Asri Purwoko Purwoko Purwoko Purwoko Puspita Sari Putra, Eko Septiansyah Putri Ningsih Putri, Dhea Anisah Putri, Ratu ilma Indah Putriani, Jesika Dwi Rahma Siska Utari Rahmawati Rahmawati Rahmawati, Rahmawati Ramadan, Dwi Cahya Ramadhona, Nuril Fajria Rarri Bian Ryandi Ratu Ilma Ratu Ilma Indra Putri Rendi Muhammad Aris Rendi Muhammad Aris, Rendi Muhammad Reni Setiawati Reni Setiawati 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 Sujinal Arifin Sukmaningthias, Novika Sukmaningtias, Novika Suparmi, Etty Supratik Suryani , Eka SURYANI, EKA Susanti, Elsa SYAHRIAL SYAHRIAL Tatag Yuli Eko Siswono titin wijayanti Tito Nurdiyanto Tobing, Hendrik Efendi Lumban Triana, Novi Trisia Wati Turidho, Aisyah Uswatun Hasanah Utami, Marta Risa Putri Vera Yuliana Vira Putri Ermanda Wijaya, Aldi Putra 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 _