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All Journal Jurnal Elemen Indiktika : Jurnal Inovasi Pendidikan Matematika JPMI (Jurnal Pembelajaran Matematika Inovatif) Jurnal Wahana Pendidikan Mosharafa: Jurnal Pendidikan Matematika Plusminus: Jurnal Pendidikan Matematika Inovasi Matematika (Inomatika) Edumatica: Jurnal Pendidikan Matematika Mathematics Education Journal Journal on Mathematics Education
Filian Yunita Sari
Mathematics Education, STKIP Muhammadiyah OKU Timur, Indonesia
Education Mathematics Social Sciences Other

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Supporting proportional reasoning in ratio and proportion through agricultural contexts: A local instructional theory Sari, Filian Yunita; Zulkardi; Putri, Ratu Ilma Indra; Susanti, Ely
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp299-318

Abstract

Proportional reasoning constitutes a foundational competence in learning ratio and proportion. However, numerous junior high school students continue to exhibit reliance on additive reasoning rather than multiplicative reasoning when addressing proportional problems. This study aims to develop a Local Instructional Theory (LIT) that integrates agricultural activities to foster students’ proportional reasoning within the domain of ratio and proportion. Employing a design research methodology of the validation study type, the investigation comprised three interconnected phases: preparation for the experiment, design experiment, and retrospective analysis. The design experiment was conducted in two iterative cycles: a pilot experiment involving eight seventh-grade students and a subsequent teaching experiment involving 31 seventh-grade students from a junior high school in Belitang, Indonesia. Data were collected through student activity sheets, classroom observations, interviews, and assessments, and analyzed qualitatively using retrospective analysis. The findings reveal that agricultural practices—such as rice fertilization, plowing, rice field exploration via Google Earth, and rice planting row marking—serve as meaningful contextual anchors that support students in constructing conceptual understandings of ratio, rate, scale, and proportion. Engagement in these contextually grounded activities enabled students to compare quantities, identify unit rates, and represent proportional relationships through models such as ratio tables and double number lines. These learning trajectories facilitated a gradual shift from additive to multiplicative reasoning. The study underscores the pedagogical potential of authentic agrarian contexts to promote the progressive development of proportional reasoning and to provide a transferable framework for context-based mathematics instruction.
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.
Ratio Material Learning Design Using the Context of Cooking Rice to Help Elementary Students Understand Concepts Filian Yunita Sari; Zulkardi; Ratu Ilma Indra Putri; Ely Susanti; Duano Sapta Nusantara
Jurnal Inovasi Matematika Vol. 6 No. 1 (2024): Inovasi Matematika
Publisher : Pendidikan Matematika Universitas Muhammadiyah Bangka Belitung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35438/inomatika.v6i1.443

Abstract

Understanding concept is something that students need to have because the concepts in mathematics material are interconnected with each other. The purpose of this research is to determine the learning design of ratio material using the context of cooking rice which can help elementary school students understand the concept of ratio. Researchers designed student activity sheets using the context of cooking rice before conducting research. This design research was carried out on class VI students at one of SD Negeri in Belitang and was carried out in three stages, namely the preparing for the experiment, the design experiment, and retrospective analysis. Data collection through student activity sheets and interviews. Miles and Huberman techniques are used to analyze data which includes data reduction, data presentation, and data conclusion. The results showed that ratio material learning design using the context of cooking rice can help students understand the concepts of ratio. The learning track consists of four activities, namely (1) watching videos of cooking rice, (2) determining the relationship between the amount of rice and the amount of water in the process of cooking rice, (3) making a comparison table of the amount of rice and the amount of water needed to cook rice, (4) conclude the meaning of ratio based on the activity of cooking rice.
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.
Analisis Kemampuan Berpikir Kritis Siswa Ditinjau dari Gaya Kognitif pada Materi Penjumlahan dan Pengurangan Pecahan Devi Kartika Sari; Filian Yunita Sari
Wahana Pendidikan Vol 13, No 1 (2026): Januari
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/jwp.v13i1.18776

Abstract

Kemampuan berpikir kritis penting dimiliki agar dapat dimanfaatkan ketika melakukan penyelesaian matematika. Penelitian kualitatif deskriptif ini bertujuan menganalisis kemampuan berpikir kritis siswa berdasarkan gaya kognitif pada materi penjumlahan dan pengurangan pecahan. Penelitian dilakukan secara mendalam pada 4 siswa kelas V SDN 01 Srikaton yang dipilih melalui purposive sampling, dengan 2 subjek dari setiap gaya kognitif untuk memungkinkan eksplorasi komprehensif terhadap pola kognitif individual dan triangulasi data lintas subjek. Instrumen penelitian meliputi tes kemampuan berpikir kritis, GEFT, dan wawancara mendalam. Analisis data menggunakan pendekatan Miles dan Huberman. Hasil penelitian menunjukkan disparitas signifikan: siswa Field Independent (FI) memenuhi seluruh indikator berpikir kritis (interpretasi, analisis, evaluasi, inferensi) dengan akurasi sempurna, mendemonstrasikan strategi metakognitif seperti self-verification dan autonomous problem restructuring. Sebaliknya, siswa Field Dependent (FD) hanya memenuhi sebagian indikator dengan akurasi rendah, menunjukkan keterbatasan pada interpretasi (informasi tidak lengkap), analisis (kesulitan menyusun penyelesaian), evaluasi (lemah dalam monitoring prosedural), dan gagal dalam inferensi. Temuan krusial mengungkap siswa FD mengalami illusion of understanding dan cascading errors. Karakteristik analitik gaya kognitif FI terbukti bersinergi dengan tuntutan kognitif berpikir kritis dalam konteks pecahan. Kemampuan berpikir kritis berbeda-beda bergantung pada gaya kognitif yang dimiliki.
Co-Authors Devi Kartika Sari Duano Sapta Nusantara Ely Susanti Ely Susanti Mudrikah, Firdaul Nanang Supriadi Ratu Ilma Indra Putri Ratu Ilma Indra Putri Rizki Wahyu Yunian Putra Sukestiyarno Sukestiyarno Sukestiyarno Walid Walid Walid Zulkardi Zulkardi Zulkardi Zulkardi