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Journal : Mathematics Education Journal

Learning Reflection Using Realistic Mathematics Education Assisted by GeoGebra Software Hardiyanto, Dwi; Asokawati, Indhi; Majid, Panji Maulana; Maesaroh, Atika Tri; Nursyahidah, Farida
Mathematics Education Journal Vol. 18 No. 1 (2024): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jpm.v18i1.pp15-26

Abstract

Reflection material is very important for students to master when studying transformation material. However, reflection material is still difficult for students to understand. Therefore, this research aims to create a learning trajectory that can help students understand the concept of reflection using the context of the Tedhak Siten tradition with the help of GeoGebra software in grade 9th of SMP Negeri 6 Semarang. This research uses a design research method consisting of three stages: preliminary design, design experiment, and retrospective analysis. In this research, a series of learning activities were designed and developed based on the (Realistic Mathematics Education) RME approach. This research involved 6 grade 9th students. The result of this research is a learning trajectory that includes a series of learning processes in three activities, namely: 1) Observing the Tedhak Siten tradition video to find the definition and characteristics of reflection; 2) Finding formulas and reflection results; and 3) Resolving contextual problems related to reflection. The conducted activity can aid in improving students’ comprehension of reflection material. The research results showed that students could discover the characteristics and definitions of reflection, find formulas and reflection results, and solve contextual problems related to reflection.
Arithmetic Sequences and Series Learning Using Realistic Mathematics Education Assisted by Augmented Reality Andzin, Nadya Syifa; Sari, Putri Yulia Puspita; Widodo, Ridwan Cahyo; Sukowati, Dinda Iren; Indriastuti, Sabrina; Nursyahidah, Farida
Mathematics Education Journal Vol. 18 No. 1 (2024): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jpm.v18i1.pp139-148

Abstract

Effective mathematics learning is a significant challenge in improving students' understanding and skills in mathematical concepts. One exciting approach to enhancing mathematics education is Realistic Mathematics Education (RME), which emphasizes understanding mathematical concepts through real-world contexts. This research combines the RME approach with Augmented Reality (AR) technology to facilitate the learning of sequences and arithmetic series. This research aims to create a learning trajectory that can help students understand the concept of arithmetic sequences and series using the context of the Borobudur Temple in grade 8th of SMP Negeri 4 Semarang. This research uses a design research method which consists of three stages, namely preliminary design, design experiment (pilot experiment and teaching experiment), and retrospective analysis. In this research, a series of learning activities were designed and developed based on the RME approach. This research involved 6 grade 8th students. The result of this research is a learning trajectory that includes a series of learning processes in three activities, namely: 1) Observing Borobudur Temple videos to understand the definition and characteristics of sequences and series; 2) finding the formulas and results of sequences and series; 3) and solving contextual problems related to sequences and series. The activities carried out can help improve students' understanding of the sequences and arithmetic series material. The research results show that the context of the Borobudur Temple can help students understand the concept of sequences and arithmetic series. Apart from that, the results of this research add options for local wisdom that can be used as a context for mathematics learning, especially sequences, and arithmetic series.
Integrating Local Wisdom with Technology: Designing Learning Trajectory of Cylinder through Realistic Mathematics Education Approach Nursyahidah, Farida; Marsha Anindya, Faisa; Amalia Yulianti, Masayu; Izzati Prisanto, Zulfa; Adventino Rendra Rosario, Marcel
Mathematics Education Journal Vol. 19 No. 1 (2025): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jpm.v19i1.pp81-98

Abstract

The study of cylindrical geometry is a fundamental component of mathematics education, yet many students face challenges in grasping the concepts of surface area and volume. To address this issue, it is imperative to design a structured learning trajectory that leverages innovative approaches and integrates suitable contextual elements with technological assistance. This study explores the implementation of Realistic Mathematics Education (RME) supported by animated videos and Adobe Animate, to facilitate understanding of these concepts. The research focuses on the design of instructional activities centered on the Semarang Nyadran tradition as a contextual framework. Employing a design research methodology, this study was conducted in three stages: preliminary design, design experimentation, and retrospective analysis. The participants were seventh-grade students at a state junior high school in Semarang. The resulting learning trajectory comprises four key activities: observing animated videos depicting the Nyadran tradition to identify cylindrical characteristics, determining the cylinder's surface area through cardboard modeling, calculating the cylinder's volume using styrofoam and 2D geometry formulae, and solving contextual problems related to cylindrical geometry. The incorporation of the Nyadran tradition, animated videos, and Adobe Animate provided a culturally relevant and technologically enriched learning experience, enhancing students' comprehension of cylindrical concepts and their ability to solve contextual problems effectively. This study highlights the potential of integrating local cultural wisdom and technology in mathematics education to create engaging, meaningful, and contextually grounded learning experiences. The findings offer insights for future research to explore other forms of local wisdom as entry points for teaching diverse mathematical topics in innovative and technology-integrated ways.
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
Exploration of Sam Poo Kong Building Heritage as Starting Point in Geometric Transformation Course Aisyah, Fifin; Lestari, Aidha Aprilia Puji; Supriyanto, Muhammad Agus; Nursyahidah, Farida
Mathematics Education Journal Vol. 16 No. 1 (2022): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Sam Poo Kong is one of Semarang's city cultural heritages. This historical structure features intriguing architecture as well as being a popular tourist destination. This study aims to explore Sam Poo Kong's building as a starting point in the geometric transformation course. Besides, the study method is descriptive in qualitative terms with the ethnography approach, namely the type of research to describe and acquire data as a whole, comprehensive, and in-depth. The result is an ethnomathematics exploration of Sam Poo Kong's historic buildings, representing mathematical concepts including reflection, translation, rotation, dilation, and cultural values. Based on implementation in transformation class, students can quickly grasp which Sam Poo Kong's building portrays transformation. Students can identify and describe the Sam Poo Kong building's transformation forms, which include: 1) reflection on the temple as a whole, ornaments, and Sam Poo Kong entrance gates; 2) translation on the statues, roofs, lanterns, and poles; 3) rotation on the bedug, reliefs, incense holders, lanterns, and anchors; and 4) dilatation of the inner and outer rooflines of the Sam Poo Kong building. This can stimulate students to envisage the types of transformation, which makes the information easier to learn.Moreover, this study can benefit teachers for local wisdom context reference in geometric transformation and following researchers for further study.DOI : https://doi.org/10.22342/jpm.16.1.13073.15-28
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.
Co-Authors Achmad Buchori Achmad Dwi Fitrianto Achmad Fahrurozi Adventino Rendra Rosario, Marcel Afinda Azimatul Khusna Agnita Siska Pramasdyahsari, Agnita Siska Ahmad, Dzulfiqar Issac Aidha Aprilia Puji Lestari Aidha Aprilia Puji Lestari Aina Dinda Yuzaefa Aini Istikomah Aisyah, Fifin Akbar, Moch. Arif Maulana Akhmad Mutohhar Al Rosyid, Muhammad Dody Albab, Irham Ulil Ali Shodiqin Amahsyah, Inaroh Ghoisani Amalia Yulianti, Masayu Amalia, Ayu Rahma Amira Saputri Andzin, Nadya Syifa Anriany Casanova Arfilia Wijayanti Arief Danang Setyawan Arif Wibisono Ariyani, Arneta Mayandha Arneta Mayandha Ariyani Aryo Andri Nugroho Asokawati, Indhi Atmaja, Satriya Adika Arif Aurora Nur Aini Ayu Nyoman Murnianti, Ngurah Ayu, Annisa Bagus Ardi Saputro Bagus Ardi Saputro Bagus Ardi Saputro, Bagus Casanova, Anriany Chindy Arneta Insriastuti Choirul Huda Cholidah Hanum Denti Zaedatul Khaeriyah Devi Ariyanti Lestari Devi Asfira Fitriani Dewi Ulfatunni’mah Dewi, Rr Nirmala Hapsari Dina Lita Sari Dina Lita Sari Dina Prasetyowati Djoko Purnomo Djoko Purnomo Duwi Nuvitalia Dyah Luthfisari Eko Retno Mulyaningrum Eko Susilo, Bambang El Vania Fitriyana Elsa Septiani Rintho Miharjo Ervina Eka Subekti Estiyani Estiyani Fahrurozi, Achmad Fakhrezi, Fanny Fanny Fakhrezi Farenti Bhakti Nagari Febriansyah, Muhammad Aldo Fenny Roshayanti fibrianti, nurlaily Fifin Aisyah Fitri Lestari, Fitri Fitriani, Devi Asfira Fitriani, Sonia Dewi Friska Anggun Cintami Hardiyanto, Dwi Hartono Hartono Hartono Hartono Hartono Hartono Hartono Hartono HARYANTI, NURITA DWI Heni Purwati Henry Januar Saputra Husni Wakhyudin Ika Syafitri Imam Suwanto Indriastuti, Sabrina Intan Indiati Irkham Ulil Albab Izzati Prisanto, Zulfa Julaikah, Julaikah Kalimatussya'diyah, Siti Kartinah Kartinah, Kartinah Karunia Suhono Khaeriyah, Denti Zaedatul Kholidatul Muna KOERUNISA', ULFIANA Kristina Wijayanti Lestari, Aidha Aprilia Puji Lilik Ariyanto Lilik Poncowati Lukman Harun Maesaroh, Atika Tri Maesaroh, Suci Maflakhah Maflakhah Majid, Panji Maulana Marsha Anindya, Faisa Maya Rini Rubowo Maya Riri Rubowo Melati, Berliana Putri Mentari Dharma Santi Miharjo, Elsa Septiani Rintho Mila Ilfiana Mudzanatun Mudzanatun Muhammad Agus Supriyanto Muhammad Fajrul Muwafiqillah Muhammad Fuji Abadi Muhammad Prayitno Muhammad Prayito Muhammad Saifuddin Zuhri Muhtarom Mutohhar, Akhmad Nadzifah, Nurun Naili Hidayati Nata Syari, Sabrina Niken Wulandari Niswatun Hasanah Nizaruddin Nizaruddin Noer, Hamidah Nurina Happy Nurul Aula Rahmawati Nurul Dian Pertiwi Osman, Sharifah Padmi Susilawati Partiyah Pratama, Sonny Andika Yudi Prawitasuri, Chintya Dewi Purwosetiyono, F X Didik Purwosetiyono, FX Didik Puspita Agustiani, Ika Putri, Devi Ayundo Rahmawati, Eka Rasiman Ratu Ilma Indra Putri Richo Hartanto Ridwan Cahyo Widodo Rina Dwi Setyawati Rinowati, Awaliyah Rizky Esti Utami, Rizky Esti Roswanti, Roswanti Royhan, Mas’ud Hadad Royhan, Mas’ud Hadad Rr Nirmala Hapsari Dewi RR. Ella Evrita Hestiandari Safira, Ulya Safitri, Eka Nilam Saputo, Bagus Ardi Saputro, Bagus Ardi Sari, Dina Lita Sari, Khofifah Arum Sari, Putri Yulia Puspita Scolastika Mariani Serli Himmatus Suroyya Setya Wardani, Anna Somakim, Somakim Suchaeroh Suchaeroh, Suchaeroh Suci Maesaroh Sudargo Sugiyanti Sugiyanti Sukowati, Dinda Iren Supandi Supriyanto, Muhammad Agus Susilawati, Padmi Suwanto, Imam Suyoto Suyoto Syarifah, Nining Nur Tsabita, Berliantina Hasna Tuni'mah, Lattifah Tuni’mah, Lattifah Ulin Nikmah Vionika Azuhro Virgin, Novela Simpatika Wahyuni, Siska Dwi Wardono Wardono Wardono Widodo, Ridwan Widodo, Ridwan Cahyo Widya Kusumaningsih Widya Kusumaningsih Wikyuni, Sri Yanuar Hery Murtianto Yaya, Muhammad Helmi Yerlina Oktavianita Ardi Yuliati, Fari Ani Zaqiyatul Muna Zuhri, M Saifuddin