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All Journal Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif AKSIOMA: Jurnal Program Studi Pendidikan Matematika Abdimas Pedagogi: Jurnal Ilmiah Pengabdian kepada Masyarakat Dinamisia: Jurnal Pengabdian Kepada Masyarakat Journal of Honai Math Wahana : Tridarma Perguruan Tinggi ANARGYA: Jurnal Ilmiah Pendidikan Matematika Asimtot : Jurnal Kependidikan Matematika Abdimas: Jurnal Pengabdian Masyarakat Universitas Merdeka Malang Range : Jurnal Pendidikan Matematika Bakti Cendana: Jurnal Pengabdian Masyarakat Jurnal Pengabdian Masyarakat Indonesia LOSARI: Jurnal Pengabdian Kepada Masyarakat Prima Abdika: Jurnal Pengabdian Masyarakat FARABI: Jurnal Matematika dan Pendidikan Matematika Leibniz: Jurnal Matematika Jurnal PRINSIP Pendidikan Matematika Prioritas : Jurnal Pengabdian Kepada Masyarakat Prima Magistra: Jurnal Ilmiah Kependidikan Jurnal Infinity Jurnal Pendidikan MIPA Senadika
Kristoforus Djawa Djong
Universitas Katolik Widya Mandira
Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Nursing Public Health Social Sciences Transportation Other

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Perancangan Awal LKPD Berbasis Problem Solving pada Materi Bentuk Aljabar di SMP Elie, Melkysedek; Djong, Kristoforus Djawa; Olla, Rinda
FARABI: Jurnal Matematika dan Pendidikan Matematika Vol 8 No 2 (2025): FARABI: Jurnal Matematika dan Pendidikan Matematika
Publisher : Program Studi Pendidikan Matematika FKIP UNIVA Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47662/farabi.v8i2.1266

Abstract

Mathematics instruction in Indonesia continues to encounter difficulties in cultivating students’ problem-solving abilities, particularly in topics related to algebraic expressions. This study seeks to examine instructional needs and to develop a problem-solving-oriented Student Worksheet (LKPD) tailored to algebraic form content. The research took place at SMP Negeri 6 Kupang Tengah Satu Atap, employing a Research and Development (R&D) methodology with a focus on the analysis and design phases of the ADDIE model. The participants were seventh-grade students. Data collection methods included classroom observations, teacher interviews, and document analysis. The analysis reveals that instruction remains predominantly teacher-centered, relying heavily on lectures, with low student engagement and a lack of supportive instructional media for fostering problem-solving. In response, a student worksheet was designed that incorporates Polya’s problem-solving framework and draws upon Kupang’s local context to enhance students’ problem-solving skills. This article reports on the needs assessment and the initial development of the worksheetTop of FormBottom of Form LKPD as the first step in developing contextual and meaningful teaching materials
Mapping the Layers of Understanding: An Analysis of Mathematical Comprehension in Literacy Questions using the Pirie-Kieren Theory Uskono, Irmina Veronika; Jagom, Yohanes Ovaritus; Djong, Kristoforus Djawa; Lakapu, Meryani; Dosinaeng, Wilridus Beda Nuba; Leton, Samuel Igo; Batarius, Patrisius; Mamulak, Natalia Magdalena Rafu; Guterres, Ilda
Jurnal Pendidikan MIPA Vol 26, No 4 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i4.pp2436-2452

Abstract

The Pirie-Kieren theory provides a dynamic framework that explains how mathematical understanding develops in layers, starting from initial introduction to reflection through eight layers of understanding. The eight layers of understanding are Primitive Knowing, Image Making, Image Having, Property Noticing, Formalizing, Observing, Structuring, and Inventising. This study aims to analyze students' mathematical understanding in solving literacy problems based on Pirie-Kieren's theory. This study is a qualitative descriptive study, involving 15 tenth-grade students at SMA Negeri 2 Kupang Barat, Indonesia. The research instruments used were literacy tests and interviews. In-depth interviews were conducted with student representatives who had reached each layer of understanding. Student representatives were selected based on purposive sampling. Data analysis in this study was carried out in four stages, namely data reduction, data presentation, conclusion drawing, and triangulation. The literacy test data were analyzed based on Pirie-Kieren's eight layers of understanding. The eight layers of understanding are. The results show that 73.33% of students reached the image having a layer of understanding, 13.33% reached the formalizing layer, 6.67% reached the image-making layer, and 6.67% reached only the primitive knowing layer. No students reached the observing, structuring, or inventing layers. The dominance of students in the image, having a level of understanding, shows that most students have only reached the initial stage. These results indicate that students' mathematical understanding of literacy questions remains at a basic level and has not developed into a reflective understanding.    Keywords: mathematical literacy, literacy questions, mathematical understanding, Pirie Kieren theory.
ANALYSIS OF STUDENTS’ MATHEMATICAL PROBLEM-SOLVING ABILITY ON SIMILARITY MATERIAL VIEWED FROM POLYA’S STAGES AND METACOGNITIVE PROCESSES Anu, Maria Sindi Klaudia; Djong, Kristoforus Djawa; Lapaidemang , Yerum
Jurnal Prinsip Pendidikan Matematika Vol 8 No 2 (2025): Jurnal Prinsip Pendidikan Matematika November 2025
Publisher : Prodi. Pendidikan Matematika, FKIP, Universitas Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33578/prinsip.v8i2.318

Abstract

. This study aims to analyze students' mathematical problem-solving abilities on similarity material based on Polya’s stages and supported by metacognitive processes. This descriptive qualitative study involved three seventh-grade students at UPTD SMPN 6 Kupang Tengah selected purposively based on ability levels: high (SKT), medium (SKS), and low (SKR). Data were collected through mathematical problem-solving tests and semi-structured interviews. The results show that high-ability students (SKT) successfully completed all stages of Polya’s problem-solving steps while demonstrating strong metacognitive regulation, including planning, monitoring, and evaluating their strategies. Medium-ability students (SKS) were able to understand the problem and plan a solution but exhibited weak monitoring and evaluation, leading to errors in executing strategies. Low-ability students (SKR) showed limited conceptual understanding and minimal metacognitive awareness, resulting in difficulties in planning, executing, and reviewing their solutions. These findings highlight that differences in students’ problem-solving performance are strongly influenced by their metacognitive skills and conceptual understanding of proportional relationships. The study emphasizes the need for learning designs that strengthen metacognitive processes and apply differentiated instructional strategies to accommodate students' varying abilities.
Local Wisdom Literacy: Promising Context Integration in Algebra Learning Leton, Samuel Igo; Meryani Lakapu; Wilfridus Beda Nuba Dosinaeng; Kristoforus Djawa Djong; Fitriani, Nelly
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 2 (2026): Range Januari 2026
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i2.9923

Abstract

Indonesian students’ mathematical literacy skills, particularly in algebra, are still relatively low, as shown by the results of PISA 2022. A significant contributing factor is the limited relevance of teaching materials to students’ real-life contexts. This study introduces an innovative approach by developing algebra teaching materials based on local wisdom—referred to as local wisdom literacy—as a meaningful context for improving mathematical literacy among seventh-grade junior high school students. The novelty of this study lies in the integration of traditional Timorese cultural practices, such as weaving patterns, local measurement systems, and indigenous numerical reasoning, into formal algebra instruction. Using the ADDIE development model, this Research and Development (R&D) study produced culturally embedded materials that were validated by experts, with validity scores of 85.4% for content and 85% for assessment instruments. The materials were also considered highly practical (96.93% by students, 96% by teachers) and effective, as indicated by a moderate average N-Gain of 0.42 in student learning outcomes. In addition to improving conceptual understanding and mathematical literacy, the developed materials serve as a culturally responsive pedagogical model that is in line with the objectives of the Merdeka Curriculum and supports the preservation of local culture. This study provides a contextual and humanistic alternative in algebra learning, which offers pedagogical value and cultural significance
Co-Authors Agapitus Hendrikus Kaluge ALOYSIUS JOAKIM FERNANDEZ Anu, Maria Sindi Klaudia B.N. Dosinaneg, Wilfridus B.N.Dosinaeng, Wilfridus Barreto Maria Cindy Tuy, Elisabeth D Nai, Yustinus D. Kornelis, Marsen Da Costa, Benediktus Jeriyan Damianus Siki Dos Santos, Maria Kristina Dosinaeng, Wilridus Beda Nuba Dosinaneg, Wilfridus Beda Nuba Elie, Melkysedek F. Loma, Dorothea F. Mbari, Maria Ferdi F Kadafuk Fernandez, Michael Gawa, Maria Gracia Manoe Guterres, Ilda Hendrikus Kaluge, Agapitus I. Leton, Samuel Ilda Guterres Irmina Veronika Uskono J. Fernandez, Aloysisus J. Fernandez, Aloysius L. Morib, Poniam Laka, Anastasia Lorensa Lapaidemang , Yerum Leton , Samuel Igo Lusi, Yutri Kormalina M. E. Nalle, Venci Manoe Gawa, Maria Gracia Maria Gracia Manoe Gawa Marta Hepo Lado Marthinus Klomang Meko, Maria Krisanti Meryani Lakapu Molo, Matilde Niis Nai, Yustinus Didimus Natalia Magdalena Rafu Mamulak Nelly Fitriani, Nelly Novel B. Molina Oktofianus Nggadas Ola, Stefanus Olla, Rinda Patrisius Batarius Petrus Gelang Rofyanter Leoh Rowa, Yohana Rina S.P. Hun, Welis Samuel I. Leton Sasi, Maria Roswita Savio, Diogo Siki, Damianus Tnines, Jenilda V. Uskono, Irmina W.Sogen, Paskalia Gasela Wilfridus Beda Nuba Dosinaeng Wilfridus Beda Nuba Dosinaeng Yohana R. Rowa Yohana Rina Rowa Yohanes Ovaritus Jagom Yuliarmawati Zendrato Yunico L. Maure Yutri Kormalina Lusi