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Proportional reasoning in the artisan personality type: A case study of high school students in trigonometry ratios Ramlan, Andi Mariani; Budayasa, I Ketut; Rahaju, Endah Budi
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.pp73-90

Abstract

Proportional reasoning is a critical component of mathematical competence that should be developed at the senior high school level, as it fosters both foundational and advanced mathematical understanding. Educators frequently encounter variations in proportional reasoning abilities among students, often influenced by individual personality types. However, limited research has specifically investigated the proportional reasoning capabilities of high school students with artisan personality types. This study aims to examine the strategies and approaches utilized by students with Artisan Personality Types (APT) in solving trigonometric comparison problems. Employing a qualitative descriptive methodology within a case study design, the research focused on high school students identified as having APT. Data were collected using proportional reasoning tasks, the Keirsey Personality Type Questionnaire, and structured interviews. The analysis was conducted qualitatively, with findings categorized based on established indicators of proportional reasoning. Results indicate that APT students demonstrate the ability to address proportional reasoning problems related to covariation, ratios, and proportions, employing distinct strategies and logical reasoning. Nevertheless, instances of both correct and incorrect responses were observed, often stemming from misinterpretations of the problem context. These findings provide valuable insights for future studies aimed at designing targeted instructional strategies and developing learning tools to enhance the proportional reasoning skills of students with APT.
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.
How is the elementary students' creative thinking process in solving fraction problems using geometric and algebraic solutions? Triyani, Septi; Budayasa, I Ketut; Amin, Siti Maghfirotun
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 8 Issue 3 July 2023
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v8i3.3357

Abstract

This study aimed to explore students’ creative thinking process in fifth- grade elementary school in fraction problem solving based on gender differences. Subjects consisted of one male and one female with high mathematical ability. Data were collected by task-based interviews and analyzed through the sequence: data classification, data reduction, data presentation, interpretation, and conclusions. The creative thinking process in this research is a series of stages that students go through in creative thinking, including: exploring facts, identifying problems, generating ideas and completing ideas to produce solutions. By these stages, the subjects produced solutions in geometric and algebraic that showed their creative thinking that fulfilled fluency, flexibility and novelty. The subjects used algorithm solutions by repeating the completion steps. In this research, both subjects related their algebraic solutions with geometric solutions that has been produced. It was found that geometric solutions supported the subjects to deliver algebraic solutions and they related their understanding of fractions concepts to solve the problem. The more students’ knowledge or experiences associated with the problem, the more ideas for solutions they found. In this research, it was also found that there were some similarities and differences between the creative thinking processes of both subjects.
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.
Food and Beverage Services: Communication Management in Handling Guest Complaints at Three-Star Hotels in Bogor Budayasa, I Ketut; Hengky, SH
Finance : International Journal of Management Finance Vol. 2 No. 3 (2025): March
Publisher : Publikasi Inspirasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62017/finance.v2i3.131

Abstract

This observe explores the function of conversation control in handling guest complaints in the food and Beverage (F&B) departments of three-Star resorts in Bogor. powerful verbal exchange is important in addressing guest worries directly and professionally, making sure carrier recuperation, and retaining basic visitor pleasure. using a quantitative studies design, records had been amassed from 100 respondents, consisting of hotel visitors and F&B body of workers, via based questionnaires. The statistics were analyzed the usage of SPSS 26.0, incorporating descriptive information, validity and reliability assessments, and one-manner ANOVA to take a look at variations in perceptions of conversation effectiveness. The effects suggest that empathy and readability are the most influential dimensions of communication in positively impacting guest pride, while responsiveness changed into recognized as an area requiring improvement. those findings emphasize the importance of dependent criticism-dealing with protocols, centered communication education for F&B personnel, and systematic monitoring to decorate service restoration. The observe presents practical suggestions for lodge managers aiming to improve operational efficiency and enhance purchaser relations thru powerful communique control.
STRUKTUR GRAF DENGAN BARISAN DERAJAT {(m-1)^m,(n-1)^n } dan {m^n,n^m } Astri Widyawati Sulistyo Cahyani; I Ketut Budayasa
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

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Abstract

A graph consists of a set of vertices and a set of edges . One of the essential aspects of a graph is the degree sequence, which represents the degrees of vertices and provides a concise summary of the graph’s characteristics. This study examines graphs with the degree sequence where vertices each have a degree of and vertices each have a degree of . This graph is degree-equivalent to the complete graph but not isomorphic to it, denoted as . Meanwhile, the complement of this graph, denoted as , has the degree sequence , which is degree-equivalent to the bipartite graph but is not isomorphic to it. In this paper, we prove the characteristics of these graphs, including connectivity, the existence of cut vertices and cut edges, as well as Hamiltonian properties, with and pancyclic properties. Keywords: Degree-equivalent, Degree sequence, Hamiltonian, Pancyclic
PELABELAN TOTAL ANTIAJAIB -(a,b) SUPER PADA GRAF Ardila Septiana Putri; I Ketut Budayasa
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

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Abstract

Pelabelan total antiajaib - - pada graf adalah sebuah fungsi bijektif . Bobot total dihitung sebagai dan total bobot membentuk barisan aritmetika dengan suku awal beda . Jika maka pelabelan tersebut disebut pelabelan total antiajaib - - super pada graf . Menentukan syarat perlu atau cukup bagi graf dan subgraf H dari agar terdapat pelabelan total antiajaib - - pada graf merupakan permasalahan sulit. Syarat perlu untuk graf dan subgraf (dengan ) setiap subgraf yang isomorfik dengan harus dapat diberi label total yang membentuk barisan aritmetika, yaitu jumlah subgraf yang isomorfik dengan . Selain itu, pelabelan harus memenuhi kondisi bijektif. Selanjutnya akan dibuktikan bahwa terdapat pelabelan total antiajaib super pada graf kipas . Kata Kunci: Pelabelan total antiajaib, pelabelan total super, graf bipartit komplet subgraf , graf kipas ​
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.
Pelatihan Pengkonstruksian Masalah Matematika HOTS Bagi Guru-Guru Sekolah Dasar di Kabupaten Pasuruan Artiono, Rudianto; Juniati, Dwi; Budayasa, I Ketut; Maulana, Dimas Avian
Jurnal Pengabdian Masyarakat Progresif Humanis Brainstorming Vol 8, No 4 (2025): Jurnal Abdimas PHB : Jurnal Pengabdian Masyarakat Progresif Humanis Brainstormin
Publisher : Politeknik Harapan Bersama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30591/japhb.v8i4.9711

Abstract

Pendidikan matematika di Sekolah Dasar tidak hanya bertujuan untuk membekali siswa dengan pemahaman konsep dasar matematika, tetapi juga untuk melatih cara berpikirnya. Seiring dengan tuntutan perkembangan global, penggunaan soal matematika berbasis HOTS menjadi sangat penting untuk melatih siswa terbiasa menganalisis, menyintesis, dan menerapkan konsep dasar dalam kehidupan nyata. Hasil evaluasi yang dilakukan oleh pihak Dinas Pendidikan Kabupaten Pasuruan mencerminkan perlunya peningkatan kualitas pembelajaran matematika khususnya kemampuan guru dalam mengkonstruksi permasalahan matematika yang berbasis HOTS. Tim PKM Matematika Unesa menawarkan solusi berupa kegiatan pelatihan pengkonstruksian masalah matematika berbasis HOTS yang berkualitas dalam hal ini lebih difokuskan pada konten literasi matematika numerasi untuk guru-guru SD di Kabupaten Pasuruan. Kegiatan ini telah dilaksanakan pada tanggal 13 Juli 2024 di SMPN 1 Bangil Pasuruan dan diikuti oleh 25 Guru SD dari beberapa kecamatan yang ada di Kabupaten Pasuruan secara luring. Kegiatan selanjutnya dilakukan secara daring untuk mendapatkan hasil sesuai yang diharapkan. Dari hasil pengerjaan tugas yang diberikan kepada peserta pelatihan, terjadi peningkatan pemahaman guru sebesar 85% dalam mengkonstruksi soal matematika HOTS. Dari hasil kegiatan ini dapat disimpulkan bahwa dengan adanya peningkatan kemampuan guru dalam mengkonstruksi masalah matematika HOTS sesuai dengan tujuan diadakannya PKM akan membawa pengaruh positif terhadap kualitas pembelajaran matematika di Kabupaten Pasuruan.
Co-Authors ABADI AFFIATI OKTAVIARINA Afifah, Lilla Agis Sagita Widyaningrum Agung Lukito Agung Lukito Agung Lukito AGUNG LUKITO Agung Lukito Agung Lukito Nusantara Ahmad Isroil Ahmad Isroil, Ahmad Altika Dwi Mawarni Syah Ambarwati, Sukma Kusuma Ameliyah, Addinda Nur Andi Mariani Ramlan ANGGAWATI IMANNIYAH ANGGRAINI SULISTYA, DITA Anggraini, Evi ANGGUN WARDHANI, DEVY Aning Wida Yanti Annisa Ajeng Kusumastuti ANNISA DWI KURNIAWATI Ardila Septiana Putri Arwanto Arwanto Astri Widyawati Sulistyo Cahyani Ayu Nur Hidayah A’yunin Sofro Budi Priyo Prawoto Budiyanto Budiyanto Dede de Haan DEVY ANGGUN WARDHANI Dewi, Karina Wahyu Dia Lestari Didik Sugeng Pambudi Dinda Anisa' Nur Fadlilah DITA ANGGRAINI SULISTYA Dooren Quintasari Dwi Ivayana Sari Dwi Ivayana Sari, Dwi Ivayana Dwi Juniati Dwi Juniati Dwi Juniati Dwi Juniati Dwi Juniati Dwi Pramesti, Retna ENDANG PURBANINGRUM Endang Purbaningrum EVI ANGGRAINI E’en Rochaini Fatimatus Zahro Fiantika, Feny Rita Fitriyanti, Fitriyanti Hengky, SH Hery Suharna Hidayah Ansori Hutrisah SM Sitohang I Wayan Puja Astawa Ida Dwijayanti Ismail IZDIHAR KAMILA RAHMATIKA SURYA CANDRA Jafar Jafar KAMILA RAHMATIKA SURYA CANDRA, IZDIHAR Karina Wahyu Dewi Kiki Henra Lathiful Anwar Latifah Nuryah Lilik Fepila Luqyana Dhiya Amira M. J. Dewiyani Sunarto Ma'allaili, Serlly Hindun Manuharawati MASRIYAH Masriyah Masriyah Maulana, Dimas Avian Mawaddah, Aisy Rohmah Najahy Mega Teguh Budiarto Megacelia Maharani Mia Saskia Miftakhul Jannah Misu, La Moh. Hafiyusholeh Mohammad Edy Nurtamam Mohammad Edy Nurtamam, Mohammad Edy Muhammad Afifuddin Otniel Sukma Priyambodo Pradana, Raditya Bagus Gilang RADEN SULAIMAN Rahaju, Endah Budi Ria Fibriana Sari Rosdiana Rosdiana Rosdiana Rosdiana RUDIANTO ARTIONO, RUDIANTO Sabita Ellania Rahmah Saleh Saleh Saleh Saleh, Saleh Salsabila, Unik Hanifah Salwa Yuliantina Sari, Juwita Marlinda Sari, Ria Fibriana Sely Purwanti Ningsih Septi Triyani Setianingsih, Rini Siti Khabibah Siti Maghfirotun Amin Siti Rois'satul Azmil Siti Suparmi Sri Joeda Andajani Sri Joeda Andajani Sri Subarinah St. Suwarsono Susanah Susanah Tatag Yuli Eko Siswono Umi Hanifah Wagino Wagino Wihda Urfita Syafiti Wijaya, Henry Putra Imam Yuliantina, Salwa Yuliyati Yuliyati Yunianti, Dwi Nur Zahro, Fatimatus