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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 Emerging Science Journal 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 SOSIOEDUKASI : JURNAL ILMIAH ILMU PENDIDIKAN DAN SOSIAL 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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GRAF YANG TERKAIT DENGAN UP-ALJABAR Amalia, Nurul; Lukito, Agung
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 1 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n1.p21-29

Abstract

Dalam artikel ini dikenalkan konsep graf sederhana tak berarah yang berkaitan dengan UP-aljabar komutatif, disebut graf UP-aljabar, dengan himpunan titiknya merupakan himpunan elemen UP-aljabar komutatif. Juga dikenalkan graf kelas ekuivalensi dari UP-aljabar komutatif dan dibuktikan beberapa hasil terkait berdasarkan sifat graf UP-aljabar. Di samping itu, ditunjukkan bahwa jika graf UP-aljabar adalah bipatrit lengkap, maka graf kelas ekuivalensi dari UP-aljabar merupakan sebuah sisi. Demikian pula, akan disajikan satu algoritma untuk memeriksa apakah suatu himpunan dengan operasi biner tertentu merupakan UP-aljabar atau bukan. Kata Kunci: UP-aljabar, UP-ideal, ideal annihilator, graf kelas ekuivalensi.
GRAF YANG TERKAIT DENGAN UP-ALJABAR Amalia, Nurul; Lukito, Agung
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 3 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p524-532

Abstract

Dalam artikel ini dikenalkan konsep graf sederhana tak berarah yang berkaitan dengan UP-aljabar komutatif, disebut graf UP-aljabar, dengan himpunan titiknya merupakan himpunan elemen UP-aljabar komutatif. Juga dikenalkan graf kelas ekuivalensi dari UP-aljabar komutatif dan dibuktikan beberapa hasil terkait berdasarkan sifat graf UP-aljabar. Di samping itu, ditunjukkan bahwa jika graf UP-aljabar adalah bipatrit lengkap, maka graf kelas ekuivalensi dari UP-aljabar merupakan sebuah sisi. Demikian pula, akan disajikan satu algoritma untuk memeriksa apakah suatu himpunan dengan operasi biner tertentu merupakan UP-aljabar atau bukan. Kata Kunci: UP-aljabar, UP-ideal, ideal annihilator, graf kelas ekuivalensi.
Ideal Hibrida dalam BCK/BCI-Aljabar Halimah, Umi; Lukito, Agung
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 1 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n1.p169-180

Abstract

Analisis Kemampuan Spatial Visualization Siswa Sekolah Dasar dalam Pemecahan Masalah Geometri: Ditinjau dari Kemampuan Matematika Tingkat Tinggi Lestari, Dinar Dwi Putri; Budiarto, Mega Teguh; Lukito, Agung
ELSE (Elementary School Education Journal) : Jurnal Pendidikan dan Pembelajaran Sekolah Dasar Vol 5 No 1 (2021): FEBRUARI
Publisher : UNIVERSITAS MUHAMMADIYAH SURABAYA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/else.v5i1.7371

Abstract

Abstrak: Kemampuan spasial sangat berkaitan erat dengan geometri. Kemampuan spasial mendukung pemahaman tentang dunia geometris. Penelitian ini bertujuan untuk mendeskripsikan profil kemampuan spasial siswa SD khususnya spatial visualization dengan kemampuan matematika tinggi dalam memecahkan masalah geometri. Subjek dalam penelitian ini adalah siswa kelas 6  SD. Hasil penelitian yang berpendekatan kualitatif ini menggunakan indikator kemampuan spasial yang diadaptasi dari penelitian Lawrie, et al. (2016)  dilaksanakan dengan mengggunakan metode triangulasi waktu yakni membandingkan hasil tes  dari siswa beserta wawancaranya dengan hasil tes yang setara beserta wawancaranya pada waktu yang berbeda. Hasil penelitian ini menunjukkan bahwa siswa kemampuan tinggi mempunyai kemampuan spatial visualization yang berbeda dalam menyelesaikan tugas pemecahan masalah geometri.Kata Kunci: Kemampuan Spasial, Spatial Visualization, Geometri Sekolah Dasar, Matematika SD Abstract: Spatial ability is closely related to geometry. Spatial abilities support understanding of the geometric world. This study aims to describe the profile of elementary school students' spatial abilities, especially spatial visualization, with high mathematical skills in solving geometric problems. The subjects in this study were students of grade VI SD. The results of this research using a qualitative approach using spatial ability indicators adapted from Lawrie's research were carried out by using the time triangulation method, namely comparing test results from students and their interviews with test results that were equivalent to tests and interviews at different times. The results of this study indicate that high ability students have different spatial visualization abilities in solving geometry problem solving tasks.Keywords: Spatial Ability, Spatial Visualization, Elementary School Geometry, Elementary Mathematics
Mathematics belief impact on metacognition in solving geometry: Middle school students Suliani, Mega; Juniati, Dwi; Lukito, Agung
Journal of Education and Learning (EduLearn) Vol 18, No 2: May 2024
Publisher : Intelektual Pustaka Media Utama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/edulearn.v18i2.21110

Abstract

Mathematical beliefs and metacognitive knowledge play significant roles in solving mathematical problems; thus, this study aims to investigate the influence of middle school students' beliefs on their metacognitive knowledge when solving geometry problems. This study utilizes both quantitative and qualitative research methods. A linear regression test was used to determine the effect of middle school students' beliefs on their metacognitive knowledge. The results of the quantitative research analysis were followed up with a qualitative research approach to describe the metacognitive knowledge of students who have high and low confidence in solving geometric problems. This research involved 352 middle school students in the Tarakan area. Based on the results of linear regression, it is known that the beliefs of middle school students have a positive effect on their metacognitive knowledge when solving geometric problems. In addition, it was found that students with different beliefs could solve a given geometry problem, but the approach to solving it varied among subjects. Middle school students have diverse beliefs, but these variations do not affect their capacity to apply their metacognitive knowledge at every stage of solving mathematical problems.
Mathematical Creativity: A Systematic Review of Current Research on Eye-Tracking Technology Farman; Siswono, Tatag Yuli Eko; Lukito, Agung; Dewi, Ratna Sari; Ndayizeye, Oscar; Hali, Fitriyani
Journal of Applied Science, Engineering, Technology, and Education Vol. 7 No. 3 (2025)
Publisher : PT Mattawang Mediatama Solution

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/454RI.asci4167

Abstract

Recent empirical research on mathematical creativity using eye-tracking (ET) technology has faced challenges in developing comprehensive overviews due to the diversity of tools, task types, ET metrics, and identification methods. Thus, this systematic review attempts to examine studies that focus on mathematical creativity and incorporate ET technology. Guided by Newman and Gough’s seven-step approach, a Scopus database search covering publications up to 2024 identified five eligible empirical studies collected for this study. The review reveals that researchers employed two primary types of eye trackers: screen-based trackers, which are affordable and unobtrusive, and eye-tracking glasses, which enable participants to engage in paper-and-pencil tasks while moving naturally. To stimulate creative thinking, the studies utilized open-ended mathematical tasks—particularly geometry-based multiple solution tasks (MST) and visual modeling tasks—that encourage divergent exploration. In analyzing creative processes, researchers combined ET metrics such as fixation duration, fixation count, and scan paths with gaze-overlaid videos, offering complementary insights into visual attention patterns and idea development. Additionally, several studies integrated ET with stimulated recall interviews (SRI), allowing participants to reflect on their strategies and deepening the interpretation of cognitive processes. This methodological combination effectively captures both visual behaviors and participants’ reflections, highlighting the complexity of creative thinking in mathematics and offering guidance for future research and instructional practice.
Komponen Penting Representasi Internal Pada Berpikir Spasial: Representasi Internal: Distorsi: Abstraksi: Berpikir Spasial Fiantika, Feny Rita; Budayasa, I ketut; Lukito, Agung
Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika Vol 3 No 1 (2017): Volume 3 No 1 Tahun 2017
Publisher : Program Studi Pendidikan Matematika, Universitas Nusantara PGRI Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (251.311 KB) | DOI: 10.29407/jmen.v3i1.782

Abstract

Tulisan ini bertujuan untuk memaparkan komponen representasi internal. Terdapat dua komponen penting pada representasi internal yaitu distorsi dan abstraksi. Dalam tulisan ini ditunjukkan bagaimana penghapusan sebuah realita yang terjadi pada proses abstraksi dan bagaimana memutuskan sebuah distorsi dalam sebuah proses berpikir spasial. Terdapat dua jenis abstraksi yaitu abstraksi material dan abstraksi sebagai proses omission (penghapusan).Tugas pemecahan masalah geometri diberikan untuk mendeskripsikan bagaimana siswa sekolah dasar melakukan proses abstraksi dan distorsi pada sebuah reprentasi internal.
The Use of Eye-Tracking Technology in Mathematics Education: A Mapping Study with Bibliometric Analysis Farman; Siswono, Tatag Y. E.; Lukito, Agung; Dewi, Ratna Sari; Hali , Fitriyani; Herlina
Emerging Science Journal Vol. 9 No. 6 (2025): December
Publisher : Ital Publication

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28991/ESJ-2025-09-06-029

Abstract

This study aims to identify trends, domains, and research topics of eye-tracking methodology in mathematics education published in Scopus-indexed journals. A systematic mapping study with bibliometric was employed to investigate the field. The analysis identified 119 eye-tracking studies in mathematics education published between 2013 and 2023, reflecting fluctuating publication trends. In this period, 333 authors, 78 sources, 156 organizations, and 38 countries contributed to the field. Schindler authored the most documents, while Germany and the United States recorded the highest output. The most cited work was by Cortina et al., and the International Journal of Science and Mathematics Education was the most frequently cited journal. Collaborations analysis identified Brockmole and Hannula as the most collaborative authors, and the University of Helsinki as the most active institution. Topic and domain analysis showed that the studies primarily focused on numbers and arithmetic, problem-solving, reasoning, individual differences, mathematical anxiety, creativity, mathematical representation, multimedia in learning, embodied cognition, mathematics learning, learning difficulties, geometry, and preschool mathematics. The findings suggest that several mathematical domains remain underexplored, offering opportunities for further eye-tracking research in mathematics education.
Exploring Prospective Mathematics Teachers' Skills in Designing Innovative Technology-Based Mathematics Teaching Siswono, Tatag Yuli Eko; Lukito, Agung; Zulnaidi, Hutkemri; Hidayat, Dayat; Hartono, Sugi; Fatmanissa, Namirah
Mathematics Education Journal Vol. 20 No. 1 (2026): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v20i1.pp165-180

Abstract

The growing availability of technology offers opportunities to enhance mathematics teaching and learning. For mathematics educators, technology can serve as a form of instructional innovation alongside other indicators of innovative practice, such as student-centered learning, the use of real-world contexts, active concept construction, problem-solving, interaction, and the promotion of students’ motivation and attitudes. This study aims to describe mathematics teachers’ skills in designing innovative technology-based mathematics learning. A descriptive–exploratory mixed-methods approach was employed involving 20 mathematics teachers enrolled in a Mathematics Education graduate program. Quantitative data were collected through questionnaires examining perceptions of the importance and use of technology in mathematics learning. Qualitative data were obtained from lesson plan design tasks and semi-structured interviews and analyzed using indicators of innovative mathematics learning. The results show that 93.8% of participants perceived technology as necessary in mathematics learning; however, 68.8% primarily used it to verify solutions after manual completion, and 25% believed that direct technology use might hinder conceptual understanding. Analysis of lesson plans revealed the use of GeoGebra, Scratch, YouTube, and online applications. Overall, participants demonstrated varying levels of skill, with strengths in basic technology use and student-centered approaches but limited evidence of transformative pedagogical integration.
EXPLORING JUNIOR HIGH SCHOOL STUDENTS’ CRITICAL THINKING PROCESSES IN SOLVING SYSTEMS OF LINEAR EQUATIONS USING GEOGEBRA: A QUALITATIVE CASE STUDY iventri, kuirinus; Lukito, Agung; Wijayanti, Pradnyo
SOSIOEDUKASI Vol 15 No 1 (2026): SOSIOEDUKASI : JURNAL ILMIAH ILMU PENDIDIKAN DAN SOSIAL
Publisher : Fakultas Keguruan Dan Ilmu Pendidikan Universaitas PGRI Banyuwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36526/sosioedukasi.v15i1.7291

Abstract

Critical thinking is an essential cognitive skill in mathematics learning, particularly in solving contextual and non-routine problems. However, many junior high school students still experience difficulties in applying critical thinking when solving systems of linear equations. This study aims to explore the critical thinking processes of students in solving systems of linear equations in two variables (SPLDV) using GeoGebra. A qualitative descriptive approach with a case study design was employed. The participants were 25 ninth-grade students from a junior high school in Surabaya, Indonesia. Based on the results of a critical thinking test, three students were purposively selected to represent successful, less successful, and unsuccessful problem solvers. Data were collected through GeoGebra-assisted problem-solving tasks and semi-structured interviews, and analyzed using Facione’s critical thinking framework: interpretation, analysis, inference, evaluation, explanation, and self-regulation. The findings reveal that successful students demonstrated all six critical thinking processes consistently, while less successful students showed partial fulfillment of the indicators. Unsuccessful students failed to demonstrate most critical thinking processes due to weak conceptual understanding and poor problem interpretation. GeoGebra supported visualization and verification of solutions but did not replace conceptual reasoning. These findings highlight the importance of integrating technology with explicit instruction on critical thinking processes in mathematics learning.
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 Dayat Hidayat Destina Wahyu Winarti Didik Sugeng Pambudi Dwi Juniati Farman Fatimatul Khikmiyah Fatmanissa, Namirah Fiantika, Feny Rita FIQIH ARINA, FIRDA Fitmawati, Entya Esa Fitriyani Hali, Fitriyani Frans Van Gallen Hali , Fitriyani Hamdi, Rajib Syahrul Helti Lygia Mampouw Herlina I Ketut Budayasa Indarasati, Nanda Ayu INDRIANI, ENY Iventri, Kuirinus 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 Pradnyo Wijayanti 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 Siswono, Tatag Y. E. Siti Maghfirotun Amin Sitti Maesuri Patahudin Sofro, A'yunin St. Suwarsono Sugi Hartono, Sugi Suliani, Mega Susanah Susanah Sutinah Sutinah Tarida, Luthfiana Tatag Yuli Eko Siswono Umi Halimah, Umi Wahyu, Kamirsyah Wijaya, Henry Putra Imam YUSUF FUAD Zulnaidi, Hutkemri