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All Journal International Journal of Evaluation and Research in Education (IJERE) Cakrawala Pendidikan Jurnal Kependidikan: Penelitian Inovasi Pembelajaran JPMS (Jurnal Pendidikan Matematika dan Sains) Pythagoras: Jurnal Matematika dan Pendidikan Matematika Jurnal Pendidikan Matematika EKUIVALEN - Pendidikan Matematika Jurnal Pendidikan Matematika Undiksha Jurnal Sekolah Dasar Journal of Education and Learning (EduLearn) Journal on Mathematics Education (JME) Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif Jurnal Didaktik Matematika Journal on Mathematics Education (JME) Prosiding Universitas PGRI Palembang AKSIOMA: Jurnal Program Studi Pendidikan Matematika English Review: Journal of English Education Jurnal Pendidikan Matematika RAFA JINOP (Jurnal Inovasi Pembelajaran) Delta-Pi : Jurnal Matematika dan Pendidikan Matematika Jurnal Elemen Jurnal Terapan Abdimas AKSIOMA Jurnal Gantang Sriwijaya University Learning and Education International Conference Al-Jabar : Jurnal Pendidikan Matematika NUMERICAL (Jurnal Matematika dan Pendidikan Matematika) Sekolah Dasar: Kajian Teori dan Praktik Pendidikan HISTOGRAM: Jurnal Pendidikan Matematika AL ISHLAH Jurnal Pendidikan JIPFRI (Jurnal Inovasi Pendidikan Fisika dan Riset Ilmiah) Union: Jurnal Ilmiah Pendidikan Matematika Jurnal Obsesi: Jurnal Pendidikan Anak Usia Dini Jurnal Penelitian Pendidikan IPA (JPPIPA) Biosfer: Jurnal Pendidikan Biologi Numeracy : Jurnal Ilmiah Pendidikan Matematika Journal of Honai Math Tarbawi : Jurnal Ilmu Pendidikan JTAM (Jurnal Teori dan Aplikasi Matematika) SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Lentera: Jurnal Ilmiah Kependidikan Jurnal Pendidikan Matematika (Kudus) International Journal on Emerging Mathematics Education Beta: Jurnal Tadris Matematika Indiktika : Jurnal Inovasi Pendidikan Matematika Jurnal Pendidikan Matematika (JUDIKA EDUCATION) Teorema: Teori dan Riset Matematika SJME (Supremum Journal of Mathematics Education) Jurnal Cendekia : Jurnal Pendidikan Matematika Journal of Mathematics Science and Education JURNAL CEMERLANG: Pengabdian pada Masyarakat JURNAL INOVASI EDUKASI JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Minda Baharu Jurnal Pendidikan Matematika (Jupitek) International Journal of Active Learning Logat: Jurnal Bahasa Indonesia dan Pembelajaran Jurnal Pendidikan GOLDEN AGE: JURNAL PENDIDIKAN ANAK USIA DINI M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Delta: Jurnal Ilmiah Pendidikan Matematika Transformasi : Jurnal Pendidikan Matematika dan Matematika JPMI (Jurnal Pembelajaran Matematika Inovatif) Jurnal Penelitian Pembelajaran Matematika Sekolah Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM) Jurnal Pengabdian Masyarakat Bumi Raflesia Jurnal Berdaya Mandiri IJECA (International Journal of Education and Curriculum Application) MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Ed-Humanistics : Jurnal Ilmu Pendidikan Mosharafa: Jurnal Pendidikan Matematika LINEAR: Journal of Mathematics Education Jumat Pendidikan: Jurnal Pengabdian Masyarakat Plusminus: Jurnal Pendidikan Matematika Edumatika Inovasi Matematika (Inomatika) Edumatica: Jurnal Pendidikan Matematika Lattice Journal : Journal of Mathematics Education and Applied Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang International Journal of Trends in Mathematics Education Research (IJTMER) Amal Ilmiah: Jurnal Pengabdian Kepada Masyarakat JRAMathEdu (Journal of Research and Advances in Mathematics Education) Danadyaksa Historica Jurnal Pendidikan Anak Al-Bahjah Journal of Islamic Community Service Jurnal Infinity Jurnal Pendidikan MIPA JIPFRI (Jurnal Inovasi Pendidikan Fisika dan Riset Ilmiah) Mathematics Education Journal Journal on Mathematics Education
Ratu Ilma Indra Putri
Pendidikan Matematika, Universitas Sriwijaya
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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

 1 
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.
The Design of Learning Trajectory for Parabola Equation in Geometry STEM-Based Learning for Flexibility Skills Nopriyanti, Tika Dwi; Zulkardi, Zulkardi; Putri, Ratu Ilma Indra; Aisyah, Nyimas
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.v9i4.32560

Abstract

The flexibility of mathematical thinking among prospective mathematics teachers remains relatively low, primarily due to learning approaches that do not meaningfully connect mathematical concepts with real-world contexts. This study aims to design and implement a STEM-based learning trajectory on the topic of parabolic equations to foster the development of mathematical thinking flexibility in prospective teachers. The research employs a design research approach consisting of two stages: a pilot experiment to test and refine the learning trajectory, and a teaching experiment to implement and evaluate its effectiveness. The participants were students who had completed an Analytical Geometry course. Data were collected through activity sheets, Desmos documentation, video recordings, and interviews. Data were analyzed using a retrospective analysis method, which involved three main steps: (1) organizing data from various sources, (2) conducting within-case analysis to trace students' thought processes throughout each activity, and (3) synthesizing patterns across cases to identify the development of mathematical flexibility. The results show that the learning trajectory consisting of four main activities: video analysis, elevation angle experiments, graphing parabolas using Desmos, and determining parabolic equations effectively facilitated the development of mathematical flexibility in three aspects: representational, conceptual, and procedural. Students demonstrated the ability to shift between different representations, understand the interconnections among mathematical concepts, and adapt problem-solving strategies to contextual situations. The teaching experiment also revealed increased student engagement, higher quality of discussion, and a greater diversity of strategies employed. This study recommends the integration of real-world contexts, such as football throw-ins, to support STEM-based mathematics instruction aimed at developing flexible mathematical thinking in prospective teachers.
Analysis of the Needs of the PMRI Learning Environment for Geometry Material on the Critical Thinking Ability of PGSD Students Mulbasari, Anggria Septiani; Putri, Ratu Ilma Indra; Zulkardi, Zulkardi; Aisyah, Nyimas
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.11970

Abstract

Conducive learning situation is related to the quality of learning that is packaged in a learning environment. The purpose of this study is to describe the analysis of the PMRI learning environment's needs for geometry material on critical thinking skills. The ability to think critically is a skill that must be possessed by teachers, prospective teachers, and students in the 21st century; therefore, the availability of a learning environment based on the PMRI approach is very important for teachers, prospective teachers, and students, especially prospective teachers. This study uses a quantitative descriptive research method, with the number of respondents specifically testing the critical thinking ability test questions 40 people who were PGSD students at the PGRI Palembang University and the number of respondents specifically filling out the questionnaire as many 199 people, consisting of students from PGRI University of Palembang, PGRI University of Silampari and PGRI University of Yogjakarta. Data was gathered through the use of tests and questionnaires. The data collected were analyzed descriptively and quantitatively. Based on the analysis of test data, 80% of critical thinking skills are still below average, and questionnaire analysis revealed that 60.9% of the geometry material is considered difficult for students; students also do not understand the knowledge of 21st century skills, especially critical thinking skills, and the PMRI approach is still not well applied in the student learning environment. Therefore, requires further research that applies the PMRI approach in the learning environment and geometric difficulties can be overcome. 
Co-Authors -, Ogi Meita Utami AA Sudharmawan, AA Aan Putra Abdul Roni Abels, Mieke Abul Walid Adelia, Viona Adeng Slamet Adha, Idul Aditin Putria Aditya, Pandu Afifa, Mardiah Agustarina, Mitta Agyta Meitrilova Aini, Indrie Noor Ainun Jariyah Ainun Mardia Aisyah Turidho Ali Djamhuri Allen Marga Retta Allen Marga Retta, Allen Marga Allya Aulia Amarta, Nadiati Ambarita, Sahala Martua Amelia, Desy Amelia, Tasya Faricha Anak Agung Gede Sugianthara Andika, Windi Dwi Angge Sapto Mubharokh Anggria Septiani Mulbasari Anggria Septiani Mulbasari, Anggria Septiani Anna Fauziah Anton Jaelani Anton Jaelani Apit Fathurohman Aprilisa, Shinta Arika Sari Arika Sari Ardani Artika Sari Arviansyah, Muhammad Reza Arvin Efriani Arvin Efriani Asmaul Husna Atikarani Noer Saleha Aulia Oktarina, Detia Aulia, Allya Ayu Luviyanti Tanjung Ayu Luviyanti Tanjung Ayu Luviyanti Tanjung Azmi, Zahara Lutfiya B. Santoso Bambang Riyanto Bambang Riyanto Betty, Milhana Budi Mulyono Cahyaningsih, Desi Candra Koni Lelyana Cecil Hiltrimartin Cecil Hiltrimartin Chn, Rafika Riana Dadang Juandi Darmawijoyo, Darmawijoyo Dede de Haan DEDI YANSEN Dedi Yansen Delia Septi Miranti Delia Septimiranti Denny Haris Devi Emilya Devi Mardhiyanti Dewi Hamidah Dewi Rawani Dhany Fachrudin, Achmad Diah Kartika Sari Dina Octaria Dina Octaria Diva Maharani Djuwita Trisnawati, Djuwita Dolly van Eerde Dolly van Eerde Drajat Friansah Dwi Febianti Dyna Meriza EDWAR Effendi Nawawi, Effendi Effendi, Kiki Nia Sania Eka Fitri Puspa Sari, Eka Fitri Puspa Eka Putri Ekasatya Aldila Afriansyah Elfrida Ratnawati Elika Elika Elika Kurnadi Elis Muslimah Nuraida Elis Sulastri Elisa Mayang Sari Elita, Fika Mega ELLY SUSANTI Elly Susanti Elsa Susanti Ely Susanti Encang S. Farindi Euis Eti Rohaeti Fanni Fatoni, cakrawala Farida Nursyahidah Farista, Muhammad Irsadi Febianti, Dwi Febriyani, Siti Hilda Feli Ramury Fita Khoirunnisa Fitra, Dian Frans van Galen Frans van Galen Geyereni Maretika Noto Ginanjar, Agie Hamidah, Dewi Hamidah, Dewi Handayani, Marweny Haniful Muttaqin Hapizah Hapsari Maharani Hardiyanti Indriani Hariani Juwita Harisman Nizar Hartono Hartono Hartono Hartono Hartono, Yusuf Hartono Hasanah, Mifta Nur Hasbi Ramadhan Henry Kurniawan Henry Kurniawan Heris Hendriana Herlina, Rini Hermina Disnawati, Hermina Hery, Rosmala Dewi Hiltrimartin, Cecil Hiltrimartin Ida Hamidah Ida Sriyanti Idul Adha Iga Octriana Ika Pratiwi Ika Pratiwi Indah Widyaningrum Indaryanti Indaryanti Inggrid Yurike, Gabriella Intan Bigita Kusumawati, Intan Bigita Islamirta, Kori Auga Isri Mawarni Jaap den Hertog Jannah, Riya Dhotul Jayanti Jayanti Jayanti Jayanti, Jayanti Jeri Araiku Johan, Mery Jumrotin, Resti Juwita, Hariani Kadek Restu Astuti Katwan Nurwahyuni Khaerani Dwi Saputri Khairunnisa, Alya Khoirunnisya, Rachael Kiki Nia sania Effendi Komariyatiningsih, Novi Kori Auga Islamirta Kristiani, Yasinta Dian Kurniadi, Elika Kurniawan, Rio Kustanti Situmorang Laela Sagita Laela Sagita Laela Sagita Laswadi Laswadi Lela Anggraini Lelyana, Candra Koni Leni Marlina Leni Marlina Lestari, Nurma Lestariningsih Lestariningsih Lestariningsih Lestariningsih Levana Maharani Liana Septy Lind Puspita Linda Puspitasari Lisnaini Lisnaini Lisnani Lisnani Lisnani Lisnani Lisnani Lisnani Lisnani Lita Lovia Liya Nalurita M. Hasbi Ramadhan M. Hasbi Ramadhan, M. Hasbi Maarten Dolk Maarten Dolk, Maarten Maharani, Levana Maharani, Yulianita Malalina Malalina Malalina Marhamah Marhamah Fajriyah Nasution Marhamah Marhamah Mariani, Yurika Marleny, Arbella Sri marlina, eli Marta Risa Putri Utami Mawarni, Isri Meilinda Meilinda Meilinda Meilinda Meitrilova, Agyta Melly Ariska Mely Della Pratiwi Meriza, Dyna Mery Johan Meryansumayeka Meryansumayeka Mewa Zabeta, Mewa MICHIEL DOORMAN, MICHIEL Mieke Abels Mifta Nur Hasanah Milhana Betty Mirandah, Sylvenny Mochammad Syahrul Azhar Mouli, Mutia Febri Muhammad David Safitra Mulyono, Budi MUSLIMIN Muslimin Muslimin Mustika Khoirunnisa Mutia Febri Mouli Mutia Khoirunnisa Muttaqin, Haniful Nabila Putri Isamer Nabila, Siti Naila Aqila Nur Dzakira Naqiyyah Nurrosyadah Nasution, Marhamah Fajriyah Nathanael Putera Rasjid Ginting Nenden Octavarulia Shanty Nila Kesumawati Nila Kesumawati Nila Mareta Murdiyani Ninik Purwaning Setyorini Novi Komariyatiningsih Novi Susanti Novita Sari Novita Sari Novita Sari NUR KHOLIFAH Nur Zahwa Nuraida, Elis Muslimah Nurjannah Nurjannah Nurjannah Nurma Lestari Nusantara, Duano Sapta Nyiayu Fraisa Fatiyah, Nyiayu Fraisa Nyimas Aisyah Nyimas Aisyah Nyimas Aisyah Nyimas Aisyah Nyimas Aisyah Octriana, Iga Okto Feriana Permatasari, Ranni Pirdaus Poppy Trianti Rahayu Poppy Trianti Rahayu Pramanika Arieyantini Pramanika Arieyantini, Pramanika Pramitha Sari Pratiwi, Riszky Pabela Pratiwi, Suchi Pratiwi, Weni Dwi Pratiwi, Weni Dwi Purwasi, Lucy Asri Puspitasari, Linda Puteri, Anisya Sefina Putra, Eko Septiansyah Putri, Zuliani R. Poppy Yaniawati Rahayu, Chika Rahayu, Poppy Trianti Rahma Siska Utari Rahmi Rahmi Rani, Rondiah Novi Ranni Permatasari Ranni Permatasari Ranni Permatasari Ratih Ayu Apsari Ratih Ayu Apsari Regita Dwi Jayanti Rendi Kurniawan Rendi Muhammad Aris Rendi Muhammad Aris, Rendi Muhammad Reny Shinta Sari Reny Wahyuni Retni Paradesa Rika Firma Yenni, Rika Firma Rina Febriana Rini Herlina Rini Herlina Rusiyanti Rini Rini Rio Kurniawan Risa Rahmatia Firsta Risda Intan Sistyawati Risdiyanti, Irma Riskanita, Arini Dyah Riszky Pabela Pratiwi Rita Inderawati Riya Dhotul Jannah Rohania Rohania Rohania, Rohania Rosmalia Septiana Rully Charitas Indra Prahmana Rusdy A Siroj Ruth Helen Simarmata Safitri, Azzahra Indah SAFITRI, SANI Sahala Martua Ambarita Sakiman, Novi Komariyatiningsih Saleha, Atikarani Noer Salsabila, Unik Hanifah Samsuriyadi Samsuriyadi Samsuryadi Samsuryadi Samsuryadi Saraswati, Sari Sari, Arika Sari, Filian Yunita Sariyasa . Saskiyah, Sulafah Ansya SATRIYAS ILYAS Sepriliani, Sisca Puspita Septi Triyani Septi Triyani Septimiranti, Delia Setyorini, Ninik Purwaning Shalsabila Shafa Shalshabilla Shafa Siligar, E.I Pusta Simarmata, Ruth Helen Sisca Puspita Sepriliani SISKA NINGSIH Sistyawati, Risda Intan Siti Fatimah Siti Fatimah Siti Nabila Siti Nabila Situmorang, Kustanti Sofendi Sofendi Somakim, Somakim Sri Handayani Sri Imelda Edo Sri Sumarni Suchi Pratiwi Suci Rahmawati Sudi Prayitno Sudi Prayitno Sudi Prayitno Sujinal Arifin Sukasno Sukasno Sukma, Yovika Sukmaningthias, Novika Sulafah Ansya Saskiyah Sunaryati Sunaryati Sunaryati, Sunaryati Surya Amami Pramuditya Susanti, Elsa Syabaniah, Try Nurisa Sylvenny Mirandah Sylvenny Mirandah Syutaridho Syutaridho Syutaridho Tanjung, Ayu Luviyanti Tasya Faricha Amelia TATI NURHAYATI Tika Dwi Nopriyanti, Tika Dwi Tri Muhti Haryani tri muhti haryani, tri muhti Tria Gustiningsi Try Desnita Turidho, Aisyah ullya Ulpa Gusti Pratiwi Umi Puji Lestari Umi Puji Lestari Umi Puji Lestari, Umi Puji Usman Aripin, Usman Uswatun Hasanah Utami, Marta Risa Putri Vera Yuliana Viki Himatul Ulya Viona Adelia Viona Adelia Wahyu Hidayat Wahyu Indra Bayu Wahyuni, Reny Waty, Evy Ratna Kartika Wiwik Widyawati Wiwik Widyawati, Wiwik Wulandari, Ratu Mutiara Yajid Latif Yaniawati, Poppy Yansen, Dedi Yeni Widiastuti Yeni Widiastuti Yenny Anggreini Sarumaha Yufitri Yanto Yulia Haryono Yulia Resti Yulianita Maharani Yulianti Yurika Mariani Yusuf Hartono Z. Zulkardi Zahara Lutfiya Azmi Zahra Alwi Zahra Alwi, Zahra Zakawali, M. Bisma Zaskia, Farach Audi Zetra Hainul Putra Zuli Nueraeni Zuli Nuraeni Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi, Zulkardi Hasbi