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All Journal Journal of Education and Learning (EduLearn) Journal on Mathematics Education (JME) Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif Tadris: Jurnal keguruan dan Ilmu Tarbiyah Jurnal Pembelajaran Berpikir Matematika Jurnal Elemen Journal of Research and Advances in Mathematics Education Jurnal Kajian Pembelajaran Matematika APOTEMA : Jurnal Program Studi Pendidikan Matematika AKSIOLOGIYA : Jurnal Pengabdian Kepada Masyarakat ELSE (Elementary School Education Journal) : Jurnal Pendidikan dan Pembelajaran Sekolah Dasar MATEMATIKA DAN PEMBELAJARAN International Journal on Emerging Mathematics Education Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika MAJAMATH: Jurnal Matematika dan Pendidikan Matematika International Journal of Active Learning M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika JPMI (Jurnal Pembelajaran Matematika Inovatif) Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM) Jurnal Abdi: Media Pengabdian Kepada Masyarakat Journal of Applied Science, Engineering, Technology, and Education Rainstek : Jurnal Terapan Sains dan Teknologi MATHunesa: Jurnal Ilmiah Matematika Edukasia: Jurnal Pendidikan dan Pembelajaran Enrichment: Journal of Multidisciplinary Research and Development Journal An-Nafs: Kajian Penelitian Psikologi Journal of Mathematical Pedagogy (JOMP) Jurnal Infinity Mathematics Education Journal Journal on Mathematics Education
AGUNG LUKITO
Universitas Negeri Surabaya, Indonesia
Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Library & Information Science Mathematics Social Sciences Other

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The potential problem to explore students’ functional thinking in mathematical problem-solving Tarida, Luthfiana; Budiarto, Mega Teguh; Lukito, Agung
Journal on Mathematics Education Vol. 16 No. 1 (2025): 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.v16i1.pp275-298

Abstract

Many studies have reported that functional thinking plays a crucial role in mathematical problem-solving, particularly in fields requiring analytical reasoning, such as maritime studies. However, existing research has yet to comprehensively explore the specific task characteristics that effectively stimulate functional thinking in mathematical problem-solving, particularly among maritime students who must apply these skills in solving safety-of-life problems at sea. Addressing this gap, the present study investigates the potential of mathematical tasks in fostering functional thinking among second-semester students enrolled in the Deck Officer Program in Indonesia. The study involved three students with different mathematical abilities, who were given problem-solving tasks. Their responses were observed, recorded, and analyzed based on their written work. The findings reveal that non-routine problems involving functional situations—where students generalize relationships between varying quantities to determine function rules—effectively promote functional thinking. This is evidenced by the emergence of key functional thinking components, including problem identification, data representation, pattern recognition, covariational and correspondence relationships, and the evaluation of generalization rules. These results contribute to the development of research instruments in mathematics education and provide valuable insights for researchers and educators seeking to enhance functional thinking through task design.
The Role of Mathematical Connections in Mathematical Problem Solving Pambudi, Didik Sugeng; Budayasa, I Ketut; Lukito, Agung
Mathematics Education Journal Vol. 14 No. 2 (2020): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Problem-solving and mathematical connections are two important things in learning mathematics, namely as the goal of learning mathematics. However, it is unfortunate that the ability of students 'mathematical connections is very low so that it impacts on students' failure in solving mathematical problems. The writing of this paper aims to discuss the understanding of mathematical problems, mathematical problem solving, mathematical connections, and how they play a role in solving mathematical problems. The method used in writing this paper is a method of studying literature, which is reinforced by the example of a qualitative research result. The research subjects consisted of two eighth grade students of junior high school in Jember East Java, Indonesia, in 2017/2018. The research data consisted of written test results solving the mathematical problem as well as interview results. Data analysis uses descriptive qualitative analysis. From the results of literature studies and research results provide a conclusion that mathematical connections play an important role, namely as a tool for students to use in solving mathematical problems where students who have good mathematical connection skills succeed in solving mathematical problems well, while poor mathematical connection skills cause students to fail in solving mathematical problems.
Development of Derivative Understanding Task Instruments to Explore Student Commognition Lefrida, Rita; Siswono, Tatag Yuli Eko; Lukito, Agung
Mathematics Education Journal Vol. 17 No. 3 (2023): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Instruments are tool that used to collect research data. The instrument consists of two types, namely the main and supporting instruments. In this paper, we develop the supporting instruments which are used in qualitative research such as commognitive perspective. The instrument development aims to explore and reveal students' cognition in understanding derivative tasks that are valid and reliable. It means the instrument is needed in order to explore cognition and communication in an inseparable manner according to the theory used in this research. The two supporting instruments that developed in this study are the mathematical ability test (MAT) and the derivatives understanding task (TMT). Moreover, the developed MAT instrument is accompanied by source questions, grids and indicators. The MAT consists of 10 questions, and this was tested empirically in the category of valid and high reliability. Furthermore, TMT is developed as a reference for exploring student commognition. The TMT consists of 14 questions. The preparation and development of the instruments in this study are based on relevant theories and supported by empirical data. At the expert review step, validation is carried out in terms of content, construct and language by experts. Each step is tested for readability, then suggestions and comments are provided for improvement. The final results obtained show that the two supporting instruments (MAT and TMT) are feasible to use in exploring student commognition because these bring up keywords, visual mediators, endorsed narratives, and routines, as a commognition character. DOI: https://doi.org/10.22342/jpm.17.3.20826.343-360
Collective Argumentation through Scaffolding: Homogeneous and Heterogeneous Groups in Solving Mathematics Tasks Ekawati, Aminah; Siswono, Tatag Yuli Eko; Lukito, Agung
Mathematics Education Journal Vol. 19 No. 2 (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.v19i2.pp217-240

Abstract

Collective argumentation plays a crucial role in enhancing students' mathematical understanding through discussion. While previous studies have explored collective argumentation and group composition, only a limited number of research has examined the impact of ability-based grouping—both homogeneous and heterogeneous—on collective argumentation in mathematics learning. Based on this, the current research aims to explore collective argumentation in homogeneous and heterogeneous groups of students, supported by scaffolding, in solving mathematically and non-mathematically rich tasks. Using a qualitative approach with a case study design, the present study involved two groups of eighth-grade students, each consisting of six eighth-grade students with high, medium, and low abilities. Data were collected through recorded group discussions, observations, and interviews. After that, the collected data were analyzed using the Toulmin argumentation model. The findings reveal that homogeneous groups of high-ability students engaged more actively in idea exploration and generated dynamic arguments, incorporating key argumentation elements such as claims, data, warrants, rebuttals, and qualifications. In contrast, in heterogeneous groups, high-ability students dominated discussions, while lower-ability students were more passive and relied on scaffolding from teachers or peers. Furthermore, mathematically rich tasks were more effective in fostering in-depth discussions than non-mathematically rich tasks. These findings highlight the importance of strategic student grouping and scaffolding in promoting engagement and meaningful collective argumentation in mathematics learning.
Motivation Cards to Support Students' Understanding on Fraction Division Wahyu, Kamirsyah; Amin, Siti Maghfirotun; Lukito, Agung
International Journal on Emerging Mathematics Education IJEME, Vol. 1 No. 1, March 2017
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijeme.v1i1.5760

Abstract

This design research aims to develop a learning activity which supports the fifth-grade students to understand measurement fraction division problems (A whole number divided by a fraction that result in a whole number answer) conceptually. Furthermore, how students solve the fraction division problem using models is also analyzed. Data for the retrospective analysis is collected through two teaching experiments in the form of students' work, field notes, and some part of classroom discussions. The important findings in this research are: 1) the developed learning activity namely Motivation Cards support students understand that 3 divided by one-half means how many one-half are in 3 through models. However, when the divisor is not a unit fraction they could not directly relate the unshaded part in area model for example. 2) area model is proper model to be firstly introduced when the students work on fraction division. 3) understanding this kind of fraction division help students understand other measurement fraction division where both divisor and dividend are fractions. 4) the learning activity supports the development of character values for students.
Piagetian Abstraction Processes of a Field Independent Male Student in Reconstructing the Cuboid Concept Wijaya, Henry Putra Imam; Budayasa, I Ketut; Lukito, Agung
Enrichment: Journal of Multidisciplinary Research and Development Vol. 3 No. 1 (2025): Enrichment: Journal of Multidisciplinary Research and Development
Publisher : International Journal Labs

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55324/enrichment.v3i1.350

Abstract

This study aims to describe how a masculine junior high school boy with a field independent cognitive style abstracts step by step the concept of a cuboid while reconstructing it. The research adopted a qualitative descriptive approach focused on a single Grade IX student, coded AF, who met two criteria: a high score on the Group Embedded Figures Test indicating field independence and a masculine profile on the Bem Sex Role Inventory. Data were gathered through task based interviews and direct observation as AF classified concrete objects, interpreted two dimensional drawings, and attempted to create a formal definition of a cuboid. All sessions were recorded, transcribed, and processed through the phases of reduction, display, and conclusion drawing in order to align each episode with Piaget’s sequence of empirical, semi empirical, and reflective abstraction. Analysis revealed a clear three step progression. In the empirical phase AF decided whether a solid was a cuboid by listing six rectangular faces, twelve edges, and eight vertices, presenting these facts as separate items without explaining relationships among them. During the semi empirical phase, accuracy improved when he handled drawings: he corrected earlier edge counts, insisted on rectangular faces, and dismissed colour and scale as irrelevant. Reflective abstraction emerged when he produced a concise definition, identified the cube as a special cuboid, supplied a numerical example measuring ten by five by five centimetres, and linked the concept to familiar objects such as cardboard boxes and cupboards. Throughout the sessions his field independent style marked by selective attention, systematic counting, and self monitoring helped him move quickly from perceptual sorting to conceptual reasoning. The study offers detailed evidence that field independence supports smooth movement through Piaget’s abstraction hierarchy by enabling learners to impose internal structure on external stimuli. It strengthens the theoretical claim that mathematical understanding grows gradually from concrete observation toward formal reasoning and provides practical insight for geometry teaching: tasks that highlight structural invariants can capitalise on analytic strengths in field independent students while also serving as scaffolds for peers who depend more heavily on contextual cues.
Process-Oriented Guided Inquiry Learning and Students' Mathematical Reasoning Ability in Indonesia: A Systematic Literature Review and Meta-Analysis Nurtamam, Mohammad Edy; Budayasa, I Ketut; Lukito, Agung
Tadris: Jurnal Keguruan dan Ilmu Tarbiyah Vol 9 No 2 (2024): Tadris: Jurnal Keguruan dan Ilmu Tarbiyah
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/tadris.v9i2.21308

Abstract

This study analyzes the effectiveness of the Process-Oriented Guided Inquiry Learning (POGIL) model in enhancing the mathematical reasoning ability of students in Indonesia. A systematic literature review and meta-analysis approach was employed. The inclusion criteria required data to be sourced from international journals and proceedings indexed in the Science and Technology Index (SINTA), Scopus, and Web of Science. Research data were collected from databases such as Google Scholar, ScienceDirect, Mendeley, Wiley, Springer, and ERIC. Studies included in the analysis were published between 2020 and 2024, focused on the POGIL model and students' mathematical reasoning ability, and provided complete data for effect size calculation. Keywords used for data searches included "Process Guided Inquiry Learning," "Student Mathematical Reasoning," "Implementation of Process Guided Inquiry Learning," and "Effect of Process-Oriented Guided Inquiry Learning on Students' Mathematical Reasoning Ability." Data analysis was conducted using JSAP software version 0.8.5. The findings, based on the analysis of twenty-five effect sizes, indicate that POGIL is highly effective in enhancing students' mathematical reasoning ability in Indonesia. The summary effect size was 1.14, with a p-value less than 0.001 and a confidence interval ranging from 0.512 to 1.35, which is categorized as a very high effect size. Students taught using the POGIL approach demonstrated significantly improved mathematical reasoning skills compared to those taught with conventional methods. This improvement was particularly evident in their ability to analyze mathematical problems, construct logical arguments, and evaluate alternative solutions.
Analisis Pelaksanaan Pelatihan Penulisan Karya Tulis Ilmiah di MGMP Matematika SMP Kabupaten Lumajang Sofro, A'yunin; Khikmah, Khusnia Nurul; Fuad, Yusuf; Maulana, Dimas Avian; Lukito, Agung; Auliya, Elok Rizqi
Aksiologiya: Jurnal Pengabdian Kepada Masyarakat Vol 8 No 2 (2024): Mei
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/aks.v8i2.13610

Abstract

Wabah Covid-19 merupakan ancaman nyata bagi kesehatan global dan menjadi beban dan tantangan serius bagi semua negara. Covid-19 berdampak pada melemahnya perekonomian, tetapi dampaknya juga dirasakan dalam dunia pendidikan. Keprofresionalan seorang guru sangatlah dibutuhkan untuk menghadapi berbagai tantangan. Guru memegang peranan yang sangat penting dalam mendukung program pemerintah khususnya peningkatan kualitas pendidikan, terutama di masa pandemi saat ini. Seorang guru yang profesional juga diharapkan selalu melakukan penelitian yang dituangkan dalam suatu karya tulis ilmiah. Untuk mendukung kualitas dari karya tulis ilmiah, analisis data dalam penelitian juga sangat diperlukan. Di sisi lain, MGMP Matematika SMP Kabupaten Lumajang membutuhkan pelatihan untuk meningkatkan kinerja guru. Sehingga, menggiatkan guru untuk melakukan penulisan karya ilmiah dengan analisis statistika adalah salah satu solusi yang tepat dilakukan. Dari hasil yang didapatkan bahwa kriteria keberhasilan dari sisi output telah terpenuhi. Lebih dari 90 persen kelompok telah mencapai target kinerja yang ditetapkan. Sedangkan dari sisi proses, sekitar 80 persen lebih peserta memberikan kesan positif terhadap workshop yang telah dilakukan. Dengan adanya pelatihan tersebut juga ada peningkatan kinerja guru dalam penulisan karya ilmiah sebesar 82 persen.
Exploring Gender Differences in Middle School Students’ Creative Approaches to Open-Ended Geometry Problems Latifah Nuryah; Budayasa, I Ketut; Lukito, Agung
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 9 No. 1 (2025): JRPIPM SEPTEMBER 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v9n1.p77-87

Abstract

Creativity is an important skill in 21st century education. Student creativity can be measured, among other things, through open-ended questions. Gender differences are one factor that influences creativity. The difference between masculine male creativity and feminine female creativity has always been a subject of debate. Researchers measured how female and male students' creativity in solving open-ended geometry problems. In this study, feminine female students showed greater flexibility, as evidenced by their work, which included six variations of solutions. Male students showed novelty, as evidenced by new variations of solutions according to junior high school students. This study supports research that states that there are differences between the creativity of female and male students in solving open-ended problems.
Profil Penalaran Siswa SMA dalam Menyelesaikan Masalah Geometri ditinjau dari Perbedaan Gender Hamdi, Rajib Syahrul; Lukito, Agung; Manoy, Janet Trineke
EDUKASIA Jurnal Pendidikan dan Pembelajaran Vol. 5 No. 1 (2024): Edukasia: Jurnal Pendidikan dan Pembelajaran
Publisher : LP. Ma'arif Janggan Magetan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62775/edukasia.v5i1.1110

Abstract

Reasoning profile is description of the process of logical thinking in solving mathematical problems related to determining a conclusion using the knowledge possessed in the cognitive structure. The indicators used to reveal the profile of reasoning include understanding the problem, making a settlement plan, carrying out the settlement plan, and looking back at the results that have been resolved. Geometry is a part of mathematics that discusses the shape and size of an object that has a certain regularity. Geometry problems are problems in the form of geometry (three dimensions) for which routine procedures are not available for solving. Meanwhile, gender differences affect the reasoning profess in solving geometric problems. This study aims to describe the reasoning profiles of high school students with masculine male and feminine gender in solving geometric problems. This descriptive research with a qualitative approach was carried out in class XI of SMA Negeri 1 Sidayu in the 2022/2023 academic year. The subjects of this study were two students of class XI who had equal mathematical abilities. Data collection was carried out by in-depth subject interviews based on the Geometry Problem Solving Task. Geometry Problem Solving Tasks in the form of description geometry questions. In collecting data using time triangulation techniques to obtain credible data. Data analysis was carried out by condensing data, presenting data, and drawing conclusions. The results showed that masculine male students used logical thinking in solving problems with a more analytical nature in giving appropriate arguments. Whereas feminine women use logical thinking in solving problems but in giving arguments they are less analytical. This shows that the reasoning profile of masculine boys in solving geometry problems is better than feminine girls. Differences in reasoning profiles result in students' abilities in mathematical activities will havetesi an impact on student learning outcomes.
Co-Authors A.A. Ketut Agung Cahyawan W Abadi Ade Irfan Ali Djamhuri Ali Shodikin Aminah Ekawati Auliya, Elok Rizqi Ayun, Qurrota BADRIQUL MUDRIK, MOH Bahri, Akhmad Syaiful BUDI RAHADJENG Destina Wahyu Winarti Didik Sugeng Pambudi Dwi Juniati Farman Fatimatul Khikmiyah Fiantika, Feny Rita FIQIH ARINA, FIRDA Fitmawati, Entya Esa Fitriyani Hali, Fitriyani Frans Van Gallen Hamdi, Rajib Syahrul Helti Lygia Mampouw I Ketut Budayasa Indarasati, Nanda Ayu INDRIANI, ENY Jamhari Jamhari Janet Trineke Manoy Kamirsyah Wahyu Kamirsyah Wahyu, Kamirsyah Khikmah, Khusnia Nurul Kukuh Widodo Latifah Nuryah Lestari, Dinar Dwi Putri LOKA DEWI, FITA M. Sholahuddin Al Ayubi Julian Rosul Manuharawati MASRIYAH Maulana, Dimas Avian Mega Teguh Budiarto Misu, La Mohammad Edy Nurtamam, Mohammad Edy MUHAMMAD HASBI Mustangin Mustangin Muzaini, Muhammad Naufal Ishartono Ndayizeye, Oscar Neni Mariana Ni'mah, Zaidatun Ningtyas, Devi Yuniarti Novia Sari Susanti NUFUS, ATIROTUN Nur Wahyuni Nurul Amalia OKTA ARIYATI, GITA RADEN SULAIMAN Rahmawati, Anis Wahyu RAHMAYANTI KHUMAIRO, DESY Ramlah Ramlah Ratna Sari Dewi Rini Setianingsih Rita Lefrida Rosdiana Rosdiana Saleh Saleh, Saleh Sari, Ria Fibriana Septhiana Indra Kusumaningtyas, Septhiana Indra Sholli, Amirul Khumaini Siti Maghfirotun Amin Sitti Maesuri Patahudin Sofro, A'yunin St. Suwarsono Suliani, Mega Susanah Susanah Sutinah Sutinah Tarida, Luthfiana Tatag Yuli Eko Siswono Umi Halimah, Umi Wahyu, Kamirsyah Wijaya, Henry Putra Imam YUSUF FUAD