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Integrating desmos and songket motifs: A PMRI-based learning trajectory for rotation Puja Teressa Fawensi; Zulkardi Zulkardi; Ely Susanti; Meryansumayeka Meryansumayeka
Jurnal Elemen Vol 12 No 2 (2026): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i2.33421

Abstract

This study is motivated by students’ low conceptual understanding and spatial reasoning in rotation, as well as the limited integration of local cultural contexts with digital technology in mathematics learning. It aims to design and validate a PMRI-based Hypothetical Learning Trajectory (HLT) integrating Songket Mak Raje and Desmos to develop students’ conceptual understanding and spatial reasoning on rotation. The study employs a design research method of the validation study type, involving 6 students in the pilot experiment and 36 students in the teaching experiment. The main instrument is a Desmos-based E-LAS. Data were collected through observation, interviews, and analysis of students’ work documents and analyzed qualitatively using thematic and retrospective approaches. The results show that the developed HLT is valid and effective in developing students’ conceptual understanding and spatial reasoning. Retrospective analysis produced a Local Instructional Theory (LIT) as a refinement of the HLT, emphasizing gradual scaffolding, explicit articulation of rotation properties through guided inquiry before formal generalization, and early introduction of non-contextual problems with geometric constraints to foster spatial reasoning. This study implies a model for integrating ethnomathematics and digital technology, a PMRI-based LIT as a guide for instructional design, and a practical and validated Desmos-based E-LAS prototype.
Systematic Literature Review: Exploring Research Focus on Ratio and Proportion Filian Yunita Sari; Zulkardi Zulkardi; Ratu Ilma Indra Putri; Ely Susanti
Indiktika : Jurnal Inovasi Pendidikan Matematika Vol. 8 No. 1 (2025): Indiktika : Jurnal Inovasi Pendidikan Matematika
Publisher : FKIP Universitas PGRI Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31851/indiktika.v8i1.21074

Abstract

Ratios and proportions are fundamental topics in mathematics education that students must master because they play an important role in the development of mathematical reasoning. The focus of this study is to examine and analyze previous research related to the learning of ratios and proportions in the period 2017–2022 through a Systematic Literature Review (SLR). A total of 19 relevant articles (13 Scopus, 6 Google Scholar) were selected using the Publish or Perish application. The results of the literature review show that students' ability to understand and solve ratio and proportion problems is still relatively low, especially in representing contextual situations in mathematical models, interpreting various representations, relating concepts to real life, and understanding the meaning of formula usage. The results of design research and experimental studies show that learning based on realistic contexts, inquiry approaches, games, and pattern identification strategies can consistently improve students' conceptual understanding and problem-solving abilities. These findings imply the importance of designing ratio and proportion learning that emphasizes active student involvement, the use of contexts that are close to real life, and the strengthening of conceptual understanding. Learning that is oriented towards exploration and conceptual meaning has the potential to be an effective strategy for improving the quality of ratio and proportion learning, especially at the junior high school level.
Analysis of Mathematical Problem Solving Ability through the Use of School Cooperative Context as an Innovative Contextual Approach in Learning Straight Line Equation Material Titin Wijayanti; Zulkardi Zulkardi; Ely Susanti; Meryansumayeka Meryansumayeka
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 13 No. 1: January 2025
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v13i1.13793

Abstract

The purpose of this study was to describe the mathematical ability of grade VIII students at SMP Negeri 2 Sungai Keruh, Musi Banyuasin Regency in solving problems on the material of straight line equations by using the context of school cooperatives where school cooperatives provide an authentic context-based learning environment, allowing students to directly apply the concepts they have learned, including in the field of mathematics. Students' ability to solve mathematical problems plays an important role in determining the level of student success in learning. The subjects this study involved 30 students who were class VIII students. To describe in depth the students' ability to solve problems, a comprehensive approach is needed that not only includes the final results, but also the thought processes and strategies they use in solving these problems. With descriptive method and qualitative approach is the type of this research. The tool instrument in this study used in the form of an instrument to do a test on the ability solve mathematical problems with the material straight line equations as much as 2 activities of problem test activities and in the form of interviews. The level of students' ability to solve math problems at each Polya stage is as follows. 27% of students are categorized as high ability, 50% of students with medium ability and 23% of students with low ability to solve problems. In general, this situation illustrates that students' ability to solve mathematical problems is at a moderate level. These results illustrate that students' ability to solve mathematical problems can be improved through a more contextualized direct approach where problem-based learning helps students understand mathematical concepts by linking theory to real situations, encouraging students to think critically in solving problems directly using problems that are very relevant in everyday life.
Workshop Pengembangan Instrumen Visual Thinking Berbasis Konteks Tari Kejei Pada Materi Garis dan Sudut Nur Fitriyana; Ratu Ilma Indra Putri; Zulkardi Zulkardi; Ely Susanti
JURNAL CEMERLANG: Pengabdian pada Masyarakat Vol 8 No 2 (2026): JURNAL CEMERLANG: Pengabdian Pada Masyarakat
Publisher : LP4MK STKIP PGRI Lubuklinggau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31540/jpm.v8i2.4137

Abstract

Kemampuan visual thinking berperan penting dalam membantu siswa memahami konsep matematika, khususnya pada materi geometri seperti garis dan sudut. Namun, dalam praktik pembelajaran, pemanfaatan konteks budaya dalam pengembangan instrumen pembelajaran matematika masih terbatas. Oleh karena itu, kegiatan ini bertujuan meningkatkan pemahaman peserta mengenai visual thinking serta kemampuan menyusun soal berbasis konteks budaya melalui workshop. Kegiatan ini melibatkan 39 peserta dan dilaksanakan melalui beberapa tahapan, yaitu orientasi kegiatan, eksplorasi konsep visual thinking, integrasi konteks Tari Kejei dalam pembelajaran matematika, praktik penyusunan instrumen, serta evaluasi kegiatan. Data diperoleh melalui angket pretest dan posttest. Hasil analisis menunjukkan adanya peningkatan pemahaman peserta dari 45%–60% sebelum workshop menjadi 84%–92% setelah workshop. Hasil ini menunjukkan bahwa workshop berbasis konteks budaya dapat meningkatkan pemahaman peserta mengenai visual thinking serta kemampuan menyusun soal matematika yang kontekstual.
Additive vs Multiplikatif Thinking: An Exploration of Middle School Students’ Proportional Reasoning Ability in Rural Indonesian Context Filian Yunita Sari; Zulkardi Zulkardi; Ratu Ilma Indra Putri; Ely Susanti
Mosharafa: Jurnal Pendidikan Matematika Vol. 14 No. 4 (2025): October
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v14i4.3538

Abstract

Kemampuan penalaran proporsional sangat penting untuk memahami berbagai materi matematika dan menjadi tujuan utama di kurikulum sekolah dasar dan menengah. Penelitian ini bertujuan mengetahui kemampuan siswa SMP dalam bernalar proporsional dalam konteks pedesaan Indonesia. Penelitian kualitatif ini dilakukan pada 33 siswa kelas VII SMP Negeri 1 Belitang dengan menggunakan tes uraian rasio dan proporsi yang mencakup seluruh indikator penalaran proporsional. Hasil analisis menunjukkan bahwa kemampuan siswa dalam bernalar proporsional masih rendah, ditandai dengan tingkat kesalahan menjawab soal lebih dari 87%. Sebagian besar kesalahan terjadi karena siswa menggunakan strategi aditif, bukan strategi multiplikatif yang benar. Temuan ini menunjukkan perlunya peningkatan pembelajaran matematika yang mendukung pengembangan penalaran proporsional, misalnya dengan mengintegrasikan konteks nyata dan aktivitas yang mendorong siswa memahami hubungan multiplikatif secara lebih mendalam. Proportional reasoning is essential for understanding various mathematical topics and is a key goal in primary and secondary school curricula. Aims of this research is to identify middle school students' proportional reasoning in rural Indonesia context. This qualitative research was conducted with 33 seventh-grade students at SMP Negeri 1 Belitang using a descriptive test on ratio and proportion that covered all indicators of proportional reasoning. The results show that students’ proportional reasoning abilities are still low, with error rates exceeding 87%. Most errors occurred because students used additive strategies instead of the appropriate multiplicative strategies. These findings indicate the need to strengthen mathematics instruction to support the development of proportional reasoning, such as integrating realistic contexts and learning activities that help students better understand multiplicative relationships.
Differentiated instruction for mathematical problem-solving ability: A study on kinesthetic learners in probability Pertiwi, Amirah Nada; Susanti, Ely
Jurnal Gantang Vol 11 No 1 (2026): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/jg.v11i1.7936

Abstract

Mathematical problem-solving ability is essential in mathematics learning. This study aims to describe the mathematical problem-solving ability of ninth-grade students in class IX.E at SMP Negeri 1 Indralaya on the topic of probability through the implementation of differentiated learning tailored to kinesthetic learning styles. This research is a descriptive study involving 20 students who tend to have a kinesthetic learning style, identified through a learning style questionnaire. The learning process was designed to include physical activities, hands-on experiments, and group work to match the characteristics of kinesthetic learners. Data were collected through a mathematical problem-solving test developed from problem-solving indicators, supplemented by observations and interviews. The results showed that students' mathematical problem-solving abilities learning were categorized as high (25%), medium (30%), and low (45%) where kinesthetic learners were categorized as low. Students experienced difficulties in several indicators of problem-solving, particularly in understanding problems, planning solution strategies, implementing problem-solving steps, and rechecking the results. Most errors occurred because students were not accustomed to identifying important information, connecting information to formulate solution plans, and evaluating the correctness of their answers. These findings indicate that kinesthetic learners still need more support and practice to develop systematic and reflective problem-solving skills in learning probability.
Innovative approaches for learning: Strengthening numeracy literacy with creative problem solving Adlina, Nadiyah; Susanti, Ely
Jurnal Gantang Vol 11 No 1 (2026): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/jg.v11i1.7947

Abstract

Numeracy literacy is one of the essential skills students must possess to use numbers and mathematical symbols to solve everyday problems, present information in various forms such as tables, graphs, or charts, and interpret analysis results as a basis for decision-making. However, students' numeracy literacy skills still need to be strengthened through the application of innovative, problem-solving-centered learning models. Therefore, this study aims to describe students' numeracy skills by applying the Creative Problem Solving (CPS) model to the topic of Systems of Linear Equations with Two Variables (SLETV). This study employed a descriptive method involving 33 ninth-grade students. Learning activities were designed by integrating the CPS model's stages into the SLETV problem-solving process. Data was collected through a test developed based on numeracy literacy indicators, then analyzed and categorized into five categories: very good, good, sufficient, insufficient, and very insufficient. The results indicate that the CPS model positively impacts students' numeracy literacy skills, particularly in representing, interpreting, and applying mathematical information in real-life contexts. Based on these findings, this study recommends using innovative approaches, such as CPS, in mathematics instruction to strengthen students' numeracy skills when studying the System of Linear Equations with Two Variables.
Developing a local instruction theory for the scale concept: A design research study in Indonesian realistic mathematics education contextualized by Bayt Al-Qur'an Al-Akbar Alkaff, Nazhmiah Khaalishah; Zulkardi, Zulkardi; Susanti, Ely; Meryansumayeka, Meryansumayeka
Jurnal Gantang Vol 11 No 1 (2026): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/jg.v11i1.8003

Abstract

Proportional reasoning is a foundational concept in middle school mathematics. However, many students struggle because they apply additive thinking rather than multiplicative reasoning when faced with abstract, formula-driven instruction. This study aims to develop and validate a local instruction theory (LIT) for the concept of Scales using the realistic context of Bayt Al-Qur'an Al-Akbar. Employing a design research methodology of the validation study type, this research engaged 39 Grade VII students in Palembang, South Sumatra, through a pilot experiment and a main field test. Data was collected through classroom observations, video recordings, and student worksheets and analyzed using a retrospective analysis method. The findings demonstrate that using the giant, non-proportional dimensions of wooden carving successfully triggered critical cognitive conflicts, prompting students to transition from informal estimates to the formal abstraction of a standardized scale factor. This study suggests that large-scale cultural architecture can serve as a tactical pedagogical intervention to subvert procedural misconceptions, offering a transferable framework for locally culture-based mathematics education globally.
LEARNING DESIGN FOR LINEAR EQUATIONS IN TWO VARIABLES BASED ON THE PMRI APPROACH USING THE GOJEK CONTEXT FOR EIGHTH-GRADE STUDENTS Jesika Dwi Putriani; Zulkardi Zulkardi; Ely Susanti; Meryansumayeka Meryansumayeka
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 2 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i2.830

Abstract

This study aims to develop a learning trajectory to stimulate students in solving problems related to the topic of systems of linear equations in two variables (SPLDV), packaged in the form of student activity sheets. This research employs a design research method of the validation study type, consisting of preparing for the experiment, the design experiment, and retrospective analysis. The research was conducted with 37 students from class VIII.1 at SMPN 9 Palembang. Data were collected through documentation, field notes, student activity sheets, and interviews. The collected data were analyzed through data reduction, descriptive presentation, and conclusion drawing. This study resulted in the following learning trajectory: (1) Observing contextual problems related to SPLDV using the GoJek context, specifically the additional bonus for GoCar partners, (2) Students presenting data, including what is known and what is being asked from the problem. (3) Students create possible scenarios for the distances traveled by GoCar partners on weekdays (Monday–Friday) and Saturdays, (4) Students solve the problem, predict alternative solutions, and draw conclusions. The learning trajectory utilizing the GoJek context effectively aids students in understanding and resolving issues related to SPLDV.
A Comparative Analysis of Pyramid Topics in Singaporean and Indonesian Mathematics Textbooks from a Mathematical Literacy Perspective Fatimah Azzahroh; Ely Susanti; Cecil Hiltrimartin
FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Vol. 12 No. 1 (2026): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Publisher : Fakultas Ilmu Pendidikan Universitas Muhammadiyah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24853/fbc.12.1.65-82

Abstract

This study aims to compare three mathematics textbooks, namely the Kurikulum Tingkat Satuan Pendidikan (KTSP), Kurikulum Merdeka, and the Singapore textbook (New Discovering Mathematics 2B), on the topic of pyramids from a mathematical literacy perspective. This research employs a descriptive-comparative method, using content analysis, to examine the presentation of materials and problem characteristics in relation to Bloom’s taxonomy and their alignment with the PISA 2018 framework. The findings reveal that the KTSP textbook primarily emphasizes basic concepts and lacks real-world context and a variety of problem types. The Kurikulum Merdeka textbook is beginning to incorporate everyday contexts, although it has not yet fully supported higher-order thinking skills. In contrast, the Singapore textbook demonstrates a more comprehensive approach through effective visualizations, a wider range of cognitive-level problems, and contextual problem-solving tasks aligned with PISA characteristics. These results indicate that textbooks integrating visual representations, meaningful contexts, and diverse problem levels are more effective in fostering students’ mathematical literacy. Therefore, improving textbook design in line with international literacy frameworks is essential for enhancing meaningful mathematics learning.
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 _