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Proses Berpikir Matematis Siswa Diskalkulia dalam Mengonstruksi Pengetahuan melalui Permainan Congklak Wullan Rahmadani; Kamid; Khairul Anwar
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.22688

Penelitian ini bertujuan untuk mengeksplorasi keterampilan proses berpikir matematis siswa sekolah dasar melalui aktivitas permainan tradisional congklak. Fokus utama penelitian adalah menganalisis bagaimana anak membangun dan menyesuaikan skema kognitifnya saat terlibat dalam permainan, berdasarkan teori perkembangan kognitif Piaget. Subjek penelitian terdiri dari dua siswa kelas 4 SD, yaitu Subjek 1 yang belum pernah bermain congklak sebelumnya dan Subjek 2 yang sudah memiliki pengalaman bermain. Penelitian ini menggunakan pendekatan kualitatif dengan metode observasi langsung, wawancara semi-terstruktur, dan analisis dokumen berupa lembar kerja siswa. Hasil penelitian menunjukkan bahwa S1 mengalami proses asimilasi secara bertahap—dimulai dari kebingungan awal, lalu membentuk pemahaman melalui pengamatan, perhitungan manual, hingga refleksi terhadap strategi yang digunakan. Sebaliknya, S2 mengalami hambatan dalam mengembangkan keterampilan proses seperti mengamati, mengklasifikasi, menghitung, membuat prediksi, dan mengomunikasikan hasil. Meskipun S2 telah memiliki pengalaman bermain sebelumnya, ia tidak menunjukkan kemampuan yang berkembang secara signifikan, baik dalam proses asimilasi maupun akomodasi. Hal ini mengindikasikan bahwa pengalaman bermain sebelumnya belum tentu berkontribusi pada pengembangan keterampilan berpikir matematis apabila tidak disertai dengan pendampingan kognitif yang memadai. Secara umum, hasil penelitian ini menegaskan bahwa permainan congklak dapat menjadi media edukatif yang efektif dalam menstimulasi proses berpikir matematis anak, asalkan didukung oleh strategi pembelajaran yang terarah dan adaptif terhadap kondisi kognitif masing-masing siswa. This research aims to explore the mathematical thinking process skills of elementary school students through traditional congklak game activities. The main focus of the research is to analyze how children build and adjust their cognitive schemas while engaging in games, based on Piaget's theory of cognitive development. The research subjects consisted of two 4th grade elementary school students, namely Subject 1 (S1) who had never played congklak before and Subject 2 (S2) who already had experience playing. This study uses a qualitative approach with direct observation methods, semi-structured interviews, and document analysis in the form of student worksheets. The results of the study show that S1 undergoes a gradual assimilation process—starting from initial confusion, then forming understanding through observation, manual calculations, and reflection on the strategies used. In contrast, S2 experiences obstacles in developing process skills such as observing, classifying, calculating, making predictions, and communicating results. Although S2 has previous playing experience, he has not shown significantly developed abilities, either in the assimilation process or accommodation. This indicates that previous playing experience does not necessarily contribute to the development of mathematical thinking skills if it is not accompanied by adequate cognitive assistance. In general, the results of this study confirm that the game of congklak can be an effective educational medium in stimulating children's mathematical thinking process, as long as it is supported by a directed learning strategy that is adaptive to the cognitive condition of each student.

Kemampuan Computational Thinking Siswa SMP dalam Pemecahan Masalah Deret Aritmatika Fildzah Aulia Ahmad; Elah Nurlaelah; Endang Cahya Mulyaning A
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.22722

Penelitian ini bertujuan untuk menganalisis kemampuan Computational Thinking (CT) siswa SMP dalam menyelesaikan soal matematika pada materi deret aritmetika ditinjau dari Kemampuan Awal Matematis (KAM). Penelitian ini menggunakan pendekatan deskriptif kualitatif dengan subjek siswa kelas VIII yang dipilih berdasarkan kategori KAM tinggi, sedang, dan rendah. Instrumen penelitian terdiri dari tes uraian dan pedoman wawancara. Hasil penelitian menunjukkan bahwa siswa dengan KAM tinggi mampu memenuhi seluruh indikator CT, yaitu decomposition, pattern recognition, abstraCTion, dan algorithm. Siswa dengan KAM sedang hanya mampu memenuhi sebagian indikator, sedangkan siswa dengan KAM rendah cenderung hanya memenuhi dua indikator awal. Temuan ini diperkuat oleh hasil wawancara yang menunjukkan bahwa siswa dengan KAM rendah mengalami kesulitan dalam menyusun strategi penyelesaian yang sistematis. Penelitian ini menyimpulkan bahwa KAM berperan penting dalam mendukung kemampuan CT siswa, sehingga diperlukan pendekatan pembelajaran yang adaptif dan kontekstual. This study aims to analyze the Computational Thinking (CT) skills of junior high school students in solving arithmetic sequence problems based on their prior mathematical ability (KAM). A descriptive qualitative approach was employed, involving grade VIII students categorized into high, medium, and low KAM levels. Research instruments included problem-solving tests and interview guidelines. The findings indicate that students with high KAM were able to meet all CT indicators: decomposition, pattern recognition, abstraction, and algorithm. Students with medium KAM demonstrated partial mastery, while those with low KAM mostly fulfilled only the first two indicators. Interview results confirmed that low-KAM students had difficulty constructing systematic problem-solving strategies. The study concludes that prior mathematical ability plays a significant role in supporting students' CT skills, thus emphasizing the need for adaptive and contextual learning approaches.

Analysis of Numeracy Skills in Solving Contextual Problems in Madrasah Aliyah Students Sugiman; Erni Puji Astuti; Siti Nurhidayati
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.23039

Perkembangan era digital dan tantangan global menuntut siswa memiliki kemampuan numerasi yang mencakup kemampuan memahami, menganalisis, dan menafsirkan informasi kuantitatif dalam konteks kehidupan nyata. Penelitian ini bertujuan untuk menganalisis kemampuan numerasi siswa Madrasah Aliyah dalam menyelesaikan soal kontekstual matematika. Penelitian ini menggunakan pendekatan kualitatif deskriptif. Data diperoleh melalui tes dengan soal kontekstual dan wawancara mendalam terhadap 6 siswa kelas XII MIPA yang dipilih secara purposive dan snowball. Hasil penelitian menunjukkan bahwa siswa dengan kemampuan numerasi tinggi mampu menganalisis informasi dan merepresentasikannya ke dalam gambar dan model matematika; menentukan dan menerapkan strategi untuk menyelesaikan masalah; serta menafsirkan dan mengevaluasi hasil penyelesaian ke dalam konteks masalah. Siswa dengan kemampuan numerasi sedang mampu menganalisis informasi; menentukan dan menerapkan strategi untuk menyelesaikan masalah; tetapi tidak mampu menafsirkan dan mengevaluasi hasil penyelesaian ke dalam konteks masalah. Siswa dengan kemampuan numerasi rendah tidak mampu menganalisis informasi dan merepresentasikannya ke dalam gambar dan model matematika; menentukan dan menerapkan strategi untuk menyelesaikan masalah; serta menafsirkan dan mengevaluasi hasil penyelesaian ke dalam konteks masalah. Oleh karena itu, guru perlu merancang pembelajaran matematika berbasis konteks dan menekankan penalaran matematis untuk menyelesaikan masalah dalam berbagai konteks kehidupan sehari-hari guna mengembangkan kemampuan numerasi siswa secara optimal. The development of the digital era and global challenges requires students to have numeracy skills that include the ability to understand, analyze, and interpret quantitative information in real-life contexts. This study aims to analyze the numeracy skills of Madrasah Aliyah students in solving contextual mathematical problems. This study uses a descriptive qualitative approach. Data were obtained through tests with contextual questions and in-depth interviews with 6 purposively selected grade XII MIPA students, using snowball sampling. The results showed that the student with high numeracy skills can analyze information and represent it in images and mathematical models, determine and apply strategies to solve problems, and interpret and evaluate the solution in the context of the problem. The student with moderate numeracy skills can analyze information and determine and apply strategies to solve problems, but the student can’t interpret and evaluate the results of the solution in the context of the problem. The student with low numeracy skills can’t analyze information and represent it into images and mathematical models, determine and apply strategies to solve problems, and interpret and evaluate the results of the solution in the context of the problem. Therefore, teachers need to design context-based mathematics learning and emphasize mathematical reasoning to solve problems across various contexts of daily life to optimally develop students' numeracy skills.

Utilization of ASGeoTri Media to Support the Development of Computational Thinking Skills in SMK Students Fauziah Sumarno; Suparman; Kunti Robiatul Mahmudah
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.23221

Keterbatasan media pembelajaran berbasis teknologi masih menjadi kendala dalam pembelajaran perbandingan trigonometri di sekolah kejuruan, sehingga diperlukan inovasi media yang mampu mendukung pembelajaran interaktif sekaligus mengembangkan keterampilan berpikir komputasional (computational thinking) siswa. Penelitian ini bertujuan untuk mengembangkan media pembelajaran matematika ASGeoTri berbantuan Articulate Storyline 3 yang terintegrasi dengan GeoGebra serta menguji kevalidan, kepraktisan, dan efektivitasnya. Penelitian menggunakan metode research and development dengan model ADDIE yang meliputi tahap analisis, desain, pengembangan, implementasi, dan evaluasi. Subjek penelitian terdiri atas 25 siswa kelas X jurusan PPLG di SMKS Muhammadiyah Bitung. Data dikumpulkan melalui validasi ahli, angket respons siswa, tes hasil belajar, dan lembar analisis keterampilan berpikir komputasional. Implementasi pembelajaran dilakukan dalam tiga pertemuan dengan menggunakan model Problem-Based Learning. Hasil penelitian menunjukkan media ASGeoTri valid dengan skor 4,27 (ahli media) dan 4,03 (ahli materi), serta sangat praktis dengan respons siswa sebesar 85,47%. Sebanyak 80% siswa mencapai ketuntasan belajar. Analisis deskriptif menunjukkan peningkatan keterampilan berpikir komputasional pada aspek dekomposisi, pengenalan pola, abstraksi, dan pemikiran algoritma. Temuan ini menunjukkan bahwa media ASGeoTri layak digunakan sebagai media pembelajaran interaktif dan berpotensi mendukung pengembangan keterampilan berpikir komputasional siswa pada materi perbandingan trigonometri. The limitations of technology-based learning media continue to pose challenges in the teaching of trigonometric comparisons in vocational schools. Therefore, there is a need for innovative media that facilitate interactive learning and enhance students' computational thinking (CT) skills. This research aims to develop the ASGeoTri mathematics learning media, which is supported by Articulate Storyline 3 and integrated with GeoGebra, and to evaluate its validity, practicality, and effectiveness. The study employs a research and development approach based on the ADDIE model, which includes the stages of analysis, design, development, implementation, and evaluation. The subjects of the research consist of 25 students from class X of the PPLG program at SMKS Muhammadiyah Bitung. Data was collected through expert validation, student response questionnaires, learning outcome tests, and analysis sheets for CT skills. The learning process was implemented over three sessions using the Problem-Based Learning model. The results indicate that the ASGeoTri media is valid, with scores of 4.27 (media expert) and 4.03 (content expert), and is highly practical, receiving a student response rate of 85.47%. Furthermore, 80% of students achieved complete learning. Descriptive analysis reveals an improvement in CT skills in decomposition, pattern recognition, abstraction, and algorithmic thinking. These findings suggest that ASGeoTri media is suitable for use as an interactive learning tool and has the potential to support the development of students' CT skills in the context of trigonometric comparisons.

Systematic Literature Review: Tren Penelitian dan Faktor Penentu Kemampuan Numerasi Siswa Indonesia Tahun 2020–2024 Fitri Yani; Chika Rahayu; Caswita
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.23473

Kemampuan numerasi merupakan kompetensi penting dalam pembelajaran matematika dan kehidupan sehari-hari. Berbagai hasil asesmen menunjukkan bahwa kemampuan numerasi siswa Indonesia masih relatif rendah, khususnya pada aspek penalaran dan pemecahan masalah kontekstual. Penelitian ini bertujuan untuk menganalisis tren penelitian dan faktor-faktor yang memengaruhi kemampuan numerasi siswa Indonesia pada periode 2020–2024 melalui pendekatan Systematic Literature Review (SLR). Metode penelitian menggunakan protokol PRISMA dengan sumber data dari Google Scholar, Dimensions, dan Web of Science. Sebanyak 30 artikel terpilih dianalisis menggunakan analisis tematik dan analisis bibliometrik dengan bantuan perangkat lunak VOSviewer. Hasil penelitian menunjukkan terbentuknya empat klaster utama, yaitu: (1) interpretasi data dan literasi matematika, (2) numerasi berbasis konteks kehidupan nyata, (3) model dan strategi pembelajaran, serta (4) faktor kognitif dan afektif siswa. Temuan menunjukkan bahwa siswa masih mengalami kesulitan dalam menafsirkan data, menghubungkan konsep matematika dengan konteks nyata, serta menentukan strategi penyelesaian masalah. Model pembelajaran kontekstual dan berbasis masalah terbukti berkontribusi positif terhadap peningkatan numerasi siswa, meskipun dipengaruhi oleh kesiapan guru dan desain pembelajaran. Penelitian ini menyimpulkan bahwa peningkatan kemampuan numerasi memerlukan pendekatan pembelajaran yang terintegrasi antara aspek pedagogis, kognitif, dan afektif. Numeracy is a fundamental competence in mathematics learning and everyday problem-solving. Assessment results indicate that Indonesian students’ numeracy skills remain relatively low, particularly in reasoning and contextual problem-solving. This study aims to analyze research trends and key factors influencing Indonesian students’ numeracy skills from 2020 to 2024 using a Systematic Literature Review (SLR). The study applied the PRISMA protocol with data sources from Google Scholar, Dimensions, and Web of Science. A total of 30 selected articles were analyzed using thematic analysis and bibliometric mapping with VOSviewer. The results revealed four main research clusters: (1) data interpretation and mathematical literacy, (2) real-life context-based numeracy, (3) learning models and instructional strategies, and (4) cognitive and affective factors. Findings indicate that students commonly experience difficulties in interpreting data, connecting mathematical concepts to real-life contexts, and selecting appropriate problem-solving strategies. Contextual and problem-based learning models contribute positively to improving numeracy skills, although their effectiveness depends on teachers’ readiness and instructional design. This study concludes that improving numeracy skills requires an integrated approach combining pedagogical, cognitive, and affective dimensions.

Students' Creative Thinking Skills across Learning Styles in Scratch-Assisted Challenge-Based Learning with an Ethnomathematics Context Putri Erika Febrianti; Adi Satrio Ardiansyah
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.23898

Penelitian ini bertujuan untuk menguji kualitas implementasi model Challenge-Based Learning (CBL) berbantuan Scratch dengan konteks etnomatematika terhadap kemampuan berpikir kreatif siswa, serta menganalisis perbedaan dan deskripsi kemampuan tersebut ditinjau dari gaya belajar (visual, auditori, kinestetik). Penelitian menggunakan mixed methods dengan desain sequential explanatory, melibatkan siswa kelas VII SMPN 30 Semarang sebagai populasi. Kelompok eksperimen mendapat perlakuan dengan model CBL berbantuan media Scratch dengan konteks etnomatematika, sedangkan kelompok kontrol menggunakan model Problem Based Learning. Hasil penelitian menunjukkan bahwa model yang diimplementasikan berkualitas, ditandai dengan validitas perangkat yang sangat baik, implementasi yang sangat baik dan hasil yang efektif. Uji statistik one-way ANOVA menunjukkan tidak ada perbedaan signifikan kemampuan berpikir kreatif antar ketiga gaya belajar. Analisis kualitatif mendalam terhadap sembilan subjek memperlihatkan variasi pencapaian indikator kreativitas (fluency, flexibility, novelty) di dalam setiap kelompok gaya belajar, tetapi pola pencapaiannya serupa. Pada kelompok visual, pencapaian indikator kreativitas bervariasi mulai dari yang belum memenuhi, memenuhi sebagian, hingga memenuhi semua indikator. Pola yang lebih terstruktur ditemukan pada kelompok auditori dan kinestetik, di mana kemampuan peserta terpolarisasi ke dalam tiga kategori: unggul hanya dalam kebaruan, menguasai kelancaran dan fleksibilitas tanpa kebaruan, dan menguasai ketiga indikator secara lengkap This study aims to test the quality of the implementation of the Challenge-Based Learning (CBL) model assisted by Scratch with ethnomathematics context on students' creative thinking abilities, as well as to analyze the differences and descriptions of these abilities in terms of learning styles (visual, auditory, kinesthetic). The study used a mixed methods with a sequential explanatory design, involving seventh-grade students of SMPN 30 Semarang as the population. The experimental group received treatment with the CBL model assisted by Scratch media with ethnomathematics context, while the control group used the Problem Based Learning model. The results of the study showed that the implemented model was of high quality, characterized by excellent device validity, excellent implementation and effective results. The one-way ANOVA statistical test showed no significant difference in creative thinking abilities between the three learning styles. In-depth qualitative analysis of nine subjects showed variations in the achievement of creativity indicators (fluency, flexibility, novelty) within each learning style group, but the achievement patterns were similar. In the visual group, the achievement of creativity indicators varied from not yet meeting, partially meeting, to meeting all indicators. A more structured pattern was found in the auditory and kinesthetic groups, where participants' abilities were polarized into three categories: excelling only in novelty, mastering fluency and flexibility without novelty, and mastering all three indicators completely.

A Systematic Literature Review of Math Playground-Based Interactive Media for Primary School Students (2020-2025) Lorensia Yanti; Sarwi; Bambang Subali; Arif Widiyatmoko
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.23530

Kesenjangan antara konten matematika dan strategi instruksional telah berkontribusi pada rendahnya motivasi siswa dan kinerja berhitung yang buruk. Meskipun banyak penelitian telah meneliti media interaktif berbasis game seperti Math Playground, penelitian yang ada tetap terfragmentasi dan tidak memiliki sintesis yang komprehensif tentang tren, efektivitas, dan tantangan implementasi. Penelitian ini bertujuan untuk menganalisis tren, manfaat, tantangan, dan efektivitas Math Playground dalam pembelajaran matematika. Penelitian ini menggunakan pendekatan Systematic Literature Review (SLR) mengikuti protokol PRISMA. Data dikumpulkan dari Google Scholar untuk artikel yang diterbitkan antara tahun 2020 dan 2025. Berdasarkan kriteria inklusi yang telah ditentukan, 33 studi dipilih dari 204 artikel awal untuk analisis mendalam. Temuan menunjukkan bahwa Math Playground secara konsisten meningkatkan motivasi, keterlibatan, dan pemahaman konseptual siswa dalam matematika. Bukti dari studi kasus kualitatif juga menunjukkan bahwa siswa menjadi lebih aktif dan partisipatif selama pembelajaran. Namun, beberapa tantangan tetap ada, termasuk infrastruktur digital yang terbatas dan kesiapan guru. Kebaruan dari penelitian ini terletak pada sintesis komprehensif temuan empiris menggunakan analisis konten dan tren, memberikan pemahaman multidimensi tentang Math Playground dalam pendidikan matematika. Studi ini berkontribusi dengan mengidentifikasi pola penelitian yang dominan dan area yang kurang dieksplorasi, menawarkan wawasan untuk mengembangkan strategi pembelajaran matematika yang lebih efektif dan berpusat pada siswa dalam pendidikan dasar. The gap between mathematical content and instructional strategies has contributed to low student motivation and poor numeracy performance. Although many studies have examined game-based interactive media such as Math Playground, existing research remains fragmented and lacks a comprehensive synthesis of trends, effectiveness, and implementation challenges. This study aims to analyze the trends, benefits, challenges, and effectiveness of Math Playground in mathematics learning. This study uses a Systematic Literature Review (SLR) approach following the PRISMA protocol. Data were collected from Google Scholar for articles published between 2020 and 2025. Based on predefined inclusion criteria, 33 studies were selected from an initial 204 articles for in-depth analysis. The findings indicate that Math Playground consistently improves students’ motivation, engagement, and conceptual understanding in mathematics. Evidence from a qualitative case study also shows that students become more active and participatory during learning. However, several challenges remain, including limited digital infrastructure and teacher readiness. The novelty of this study lies in its comprehensive synthesis of empirical findings using both content and trend analysis, providing a multidimensional understanding of Math Playground in mathematics education. This study contributes by identifying dominant research patterns and underexplored areas, offering insights for developing more effective and student-centered mathematics learning strategies in elementary education.

Digitalisasi Pembelajaran Berbasis Literasi Numerasi melalui Pendekatan ELPSA Terhadap Kemampuan Pemahaman Konsep Matematika Siswa Sape, Herwandi; Lukman; Firdaus, Andi Mulawakkan; Ripki Adiaksa
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.23229

This experimental study aimed to investigate the effect of digitalized learning based on numeracy literacy through the ELPSA (Experience, Language, Pictures, Symbols, Application) approach on the mathematical conceptual understanding of students at SLB Negeri 2 Makassar. The study population consisted of all students enrolled in SLB Negeri 2 Makassar, and a sample of 65 students was selected using probability sampling. The sample included students with visual impairments, hearing impairments, intellectual disabilities, physical disabilities, and autism. Data were collected using instruments that measured numeracy literacy skills, conceptual understanding, and an observation sheet to assess the implementation of the ELPSA approach. Data analysis employed descriptive and inferential statistics. The findings revealed that the integration of digitalized learning based on numeracy literacy through the ELPSA approach had a positive impact on students numeracy literacy and mathematical conceptual understanding. Descriptive results indicated an increase in the mean scores from pretest to posttest in both numeracy literacy and conceptual understanding, although both remained within the medium category. Inferential analysis further showed that digitalized learning based on numeracy literacy (X) directly influenced mathematical conceptual understanding (Y) with a path coefficient of 0.42 (p < 0.05). Additionally, digitalized learning significantly influenced the ELPSA approach (Z) with a coefficient of 0.51 (p < 0.05), and the ELPSA approach (Z) significantly affected mathematical conceptual understanding (Y) with a coefficient of 0.46 (p < 0.05).

Hypothetical Learning Trajectory sebagai Jembatan dalam Pembelajaran Perbandingan Senilai di Kelas VII SMP Berdasarkan Pendekatan RME Indriastri Nisita; Ismiyati Ismiyati; Nining Setyaningsih
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.23745

Penelitian ini bertujuan untuk mendeskripsikan dan menganalisis peran Hypothetical Learning Trajectory (HLT) sebagai jembatan dalam memfasilitasi proses matematisasi siswa pada materi perbandingan senilai melalui pendekatan Realistic Mathematics Education (RME). Penelitian ini menggunakan metodologi Design Research yang terdiri atas tiga fase, yaitu preparing and designing, teaching experiment, dan retrospective analysis. Subjek penelitian adalah 32 siswa kelas VII.C di salah satu SMP negeri di Kabupaten Karanganyar. Data penelitian dikumpulkan melalui tes tertulis berupa soal cerita non-rutin, wawancara semi-terstruktur, observasi pembelajaran, dan dokumentasi. Data dianalisis secara kualitatif dengan membandingkan lintasan belajar yang dihipotesiskan dalam HLT dengan lintasan belajar aktual siswa selama proses pembelajaran. Hasil penelitian menunjukkan bahwa rancangan HLT berbasis RME mampu memfasilitasi perkembangan pemikiran siswa secara bertahap dari strategi informal menuju representasi formal. Hal tersebut ditunjukkan melalui: (1) pergeseran strategi siswa dari penjumlahan berulang menuju penalaran multiplikatif, (2) kemampuan siswa mengidentifikasi konstanta perbandingan melalui penggunaan tabel sebagai model perantara, dan (3) kemampuan siswa menggeneralisasikan hubungan perbandingan ke dalam bentuk representasi aljabar. Temuan ini menunjukkan bahwa HLT berbasis RME dapat menjadi kerangka pembelajaran yang efektif dalam mendukung proses matematisasi siswa pada materi perbandingan senilai serta memberikan acuan bagi guru dalam merancang pembelajaran yang berorientasi pada pengembangan pemahaman konsep. This study aims to describe and analyze the role of Hypothetical Learning Trajectory (HLT) as a bridge in facilitating students' mathematicization process on proportional relationships through the Realistic Mathematics Education (RME) approach. This study uses the Design Research methodology which consists of three phases, namely preparing and designing, teaching experiment, and retrospective analysis. The subjects of the study were 32 students of grade VII.C at one of the public junior high schools in Karanganyar Regency. The research data was collected through written tests in the form of non-routine story questions, semi-structured interviews, learning observations, and documentation. The data were analyzed qualitatively by comparing the Hypothetical Learning Trajectory (HLT) with the actual learning trajectory of students during the learning process. The results of the study show that the design of RME-based HLT is able to facilitate the gradual development of students' thinking from informal strategies to formal representations. This is shown through: (1) the shift of students' strategies from repeated addition to multiplicative reasoning, (2) students' ability to identify comparative constants through the use of tables as intermediate models, and (3) students' ability to generalize comparative relationships into algebraic representations. These findings show that RME-based HLT can be an effective learning framework in supporting students' mathematicization process on equivalent comparison materials and provide a reference for teachers in designing learning that is oriented towards developing concept understanding.

The Effectiveness of Ethno-Modeling and Tri-N Based E-Worksheets in Improving Mathematical Critical Thinking Skills of Grade VII Students Damayanti, Anisa Putri; Widodo, Sri Adi; Taufiq, Irham; Hidayat, Wahyu; Arifin, Usman
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol. 14 No. 2 (2026)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v14i2.24001

Pembelajaran matematika yang kurang kontekstual dapat menyebabkan rendahnya kemampuan berpikir kritis matematis siswa. Salah satu upaya untuk mengatasi permasalahan tersebut adalah e-worksheet berbasis etno-modelling yang dipadukan dengan pendekatan Tri-N. Penelitian ini bertujuan untuk mengetahui efektivitas penggunaan e-worksheet berbasis etno-modelling dan Tri-N dalam meningkatkan kemampuan berpikir kritis matematis siswa. Penelitian ini menggunakan metode kuantitatif dengan desain time series satu fase yang dilakukan pada 11 siswa kelas VII SMP PIRI 2 Yogyakarta. Subjek penelitian dipilih menggunakan purposive sampling berdasarkan kriteria tertentu yang sesuai dengan tujuan penelitian. Pengumpulan data dilakukan melalui wawancara, observasi, tes kemampuan berpikir kritis matematis selama fase intervensi dan dokumentasi. Analisis data dilakukan secara deskriptif dengan bantuan Microsoft Excel untuk melihat kecenderungan peningkatan skor kemampuan berpikir kritis matematis siswa dari waktu ke waktu. Hasil penelitian menunjukkan adanya peningkatan rata-rata skor kemampuan berpikir kritis matematis siswa, dari 89,77 pada pertemuan awal menjadi 97,73 pada pertemuan terakhir. Peningkatan ini menunjukkan adanya tren positif yang konsisten, yang mengindikasikan bahwa penggunaan e-worksheet berbasis etno-modelling dan Tri-N mampu memberikan dampak yang signifikan terhadap perkembangan kemampuan berpikir kritis matematis siswa. Dengan demikian, e-worksheet berbasis etno-modelling dan Tri-N dapat dijadikan sebagai alternatif media pembelajaran yang inovatif dan kontekstual dalam pembelajaran matematika. Less contextual mathematics instruction can lead to low levels of students’ mathematical critical thinking skills. One effort to address this problem is the use of e-worksheets based on ethno-modelling integrated with the Tri-N approach. This study aims to examine the effectiveness of ethno-modelling–based e-worksheets combined with the Tri-N approach in improving students’ mathematical critical thinking skills. This research employed a quantitative method with a single-phase time series design. This research employed a quantitative method with a single-phase time series design, conducted on 11 seventh-grade students at SMP PIRI 2 Yogyakarta. The research subjects were selected using purposive sampling based on specific criteria aligned with the research objectives. Data were collected through interviews, observations, mathematical critical thinking tests during the intervention phase, and documentation. Data analysis was conducted descriptively with the assistance of Microsoft Excel to identify trends in the improvement of students’ mathematical critical thinking scores over time. The results showed an increase in the average score of students’ mathematical critical thinking skills, from 89.77 at the initial meeting to 97.73 at the final meeting. This improvement demonstrates a consistent positive trend, indicating that the use of ethno-modelling–based e-worksheets integrated with the Tri-N approach can significantly impact students’ mathematical critical thinking abilities. Therefore, ethno-modelling–based e-worksheets combined with the Tri-N approach can be considered an innovative and contextual alternative learning medium in mathematics instruction.

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Home Page

OAI Link

Editorial Team

Contact

Reviewer

Google Scholar

Contact Name -

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Journal Mail Official -

Editorial Address -

Location Kota madiun, Jawa timur INDONESIA

Abstract

Abstract

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Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Contact Name
-

Contact Email
-

Phone
-

Journal Mail Official
-

Editorial Address
-

Location
Kota madiun,

Jawa timur

INDONESIA