Garuda - Garba Rujukan Digital

p-Index From 2021 - 2026

7.476

P-Index

This Author published in this journals

Mega Teguh Budiarto

Universitas Negeri Surabaya

Author-ID : 2838066

Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Computer Science & IT Education Environmental Science Languange, Linguistic, Communication & Media Mathematics Physics Social Sciences Other

Published : 79 Documents Claim Missing Document

Claim Missing Document

Articles

Title

How abstraction of a pre-service teacher in constructing relationships among quadrilaterals Hodiyanto; Budiarto, Mega Teguh; Ekawati, Rooselyna; Susanti, Gemi; Kim, Jeonghyeon; Bonyah, Ebenezer
Journal on Mathematics Education Vol. 15 No. 2 (2024): 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.v15i2.pp339-362

Abstraction is essential to learning mathematics because the mathematical concepts obtained through abstraction will be more meaningful than directly receiving these concepts. This study aims to describe the pre-service teachers' abstraction in constructing relationships among quadrilaterals. This research method was explorative qualitative research with a purposive sampling technique. The subject of this research was a pre-service mathematics teacher who had taken a geometry course. The data analysis techniques used in this study were data condensation, data display, drawing and verifying conclusions. The research results showed that the participant used epistemic actions in an abstraction, such as recognising each quadrilateral type, building-with their properties, constructing relationships among them, and consolidating the abstract results made. Thus, the abstraction in constructing relationships among quadrilaterals can be observed from the epistemic actions: recognising, building-with, constructing, and consolidation, known as RBC+C.

Examining undergraduate students' abstraction of conic sections in a dynamic geometry environment Dintarini, Mayang; Fuad, Yusuf; Budiarto, Mega Teguh
Journal on Mathematics Education Vol. 15 No. 3 (2024): 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.v15i3.pp717-734

In solid geometry, the concept of conic sections plays an important role in teaching graphs such as parabolas, ellipses, and hyperbolas to undergraduate students in Mathematics Education. It is understood that the abstraction process in mastering conic sections is strongly needed. This study examines the abstraction process of conic sections among third-year undergraduate Mathematics Education students (4 males and 21 females) at Universitas Muhammadiyah Malang (UMM), Indonesia. The data was collected by analyzing students' responses in a 60-minute diagnostic test using the Abstraction in Context (AiC) framework. The test consists of 3 questions, validated by 2 Professors of UMM (average score = 4.14) and 2 lecturers (average score = 4.04). The results showed that 1 male and 11 female students did not reach the construction stage of AiC. Subsequently, a student with a low diagnostic test score and the least completion of AiC stages was observed further through an interview. This student passed through all stages of abstraction with the help of DGE. We also underscored undergraduates' challenges in this process, particularly in visualizing conic section objects, spatial thinking, and employing appropriate mathematical signs. Based on these findings, further research with a broader sample is needed to explore diverse abstraction processes.

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

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.

Epistemic actions in proving two-triangle problems by considering mathematical reading and writing ability Setianingsih, Rini; Budiarto, Mega Teguh; Jamil, Anis Farida
Journal on Mathematics Education Vol. 16 No. 2 (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.v16i2.pp479-496

Mathematical abstraction is essential in constructing mathematical concepts, particularly in proof. The RBC+C epistemic actions—recognizing, building-with, constructing, and consolidating—are key cognitive processes in proof construction. However, the impact of mathematical reading and writing abilities on these processes remains unexplored. This study investigates how students’ mathematical reading and writing abilities affect their epistemic actions when proving the congruence of two triangles. This qualitative research adopts a case study design involving three undergraduate students who have completed a geometry course. The participants were selected based on their reading and writing proficiency levels: high, moderate, and low. Data were collected through reading and writing assessments, proof-solving tasks, and semi-structured interviews. The analysis follows the RBC+C framework to identify patterns in students’ cognitive process during proof construction. Findings reveal that students with high mathematical reading and writing abilities demonstrate a more structured proof strategy, effectively recognizing key properties, building logical connections, and constructing valid arguments. High-proficiency students also exhibit flexibility in using both geometric and algebraic approaches in proving. In contrast, students with lower reading and writing abilities struggle with symbolic representation, logical coherence, and notation consistency, leading to incomplete or incorrect proofs. Moreover, consolidation of mathematical ideas, such as reusing known theorems and revisiting proof steps, occurs more frequently in high-achieving students, enabling deeper conceptual understanding. This study highlights the critical role of mathematical literacy in the proof process. It suggests that strengthening reading and writing instruction in mathematics education can enhance students’ ability to construct rigorous proofs. The findings contribute to the development of instructional strategies that integrate mathematical literacy into proof-based learning, ultimately fostering students’ reasoning and problem-solving skills in mathematics.

Co-Authors A. Fuad Abd Al-Baqie AGUNG LUKITO Agung Lukito Agus Prasetyo Kurniawan Al-Baqie, A. Fuad Abd Amirah Amirah Anggietyas Damaningrum ANGGRIYANI RUDIN, MARIA Anis Farida Jamil Anis Fauziana Anis Fauziana ANNISA DWI KURNIAWATI Ariesta Kartika Sari Ariesta Kartika Sari Arwanto Arwanto Atik Wintarti Atik Wintarti, Atik Baehaqi Bakhrul Ulum Bongtiwon, Daisy Mae R. Bonyah, Ebenezer BUDI LESTARI, LULUK Dewi Safina Dhiajeng Wulandari DIAH KUSUMAWARDANI, HARNUM Dikey Putra Utama Dilla Dwi Cahyani Dwi Nikmatul Masrukha EKA DIA DARA, RADHIFA Erica Dian Pertiwi Fauziana, Anis Firdaus, Andi Mulawakkan Genata Vidya Wardani Hodiyanto, Hodiyanto I Ketut Budayasa Ika Kurniasari Ika Kurniasari Indah Prasetya Ningsih Ismail Ismail, Ismail Isnaindah Jasmine Pertiwi Jayanti Munthahana Kharisma Isrozia Kusumawardhany KHUSNAWIYATI, WAHYU Kim, Jeonghyeon Kistatuhu, Nurul Wahidatul Kukuh Widodo Kukuh Widodo Kusumawardhany, Kharisma Isrozia Latief Sahidin Latifah, Nadia Lestari, Dinar Dwi Putri Manuharawati Mardiyah, Umi Rif?atul Masduki Masriyah MASRIYAH Masriyah Mayang Dintarini MIFTAHUL FAUZI, MOHAMMAD Mochamad Fachrul Rozi Mohamad Gufron mokhammad aby hasan MUFIDAH, ITSNA Munthahana, Jayanti Nila Kartika Sari Nina Prihartiwi Novita Purnamasari Supahmi NUR FITRIANA, EKA Nurul Nofi Aini Pardosi, Romario Petrus Pradnyo Wijayanti Rachmaniah Mirza Hariastuti Raden Sulaiman Raden Sulaiman RADEN SULAIMAN Rahaju, Endah Budi RAHMITA, FIKI Ratih Puspasari Renova Mirojul Lail Riky Prasetia Wijaya Rini Setianingsih Rini Setianingsih Rini Setyaningsih Robbi Nur Mulyo roby zulianto Rooselyna Ekawati RUDIANTO ARTIONO, RUDIANTO Sahidin, Latief Sari, Nila Kartika Seftyana Ayu Susanti Setianingsih, Rini Setyo Hartanto Siolimbona, Dedi Rahman Sisva Lestari Mangiri Siti Khabibah Siti Khabibah Sofro, A'yunin Sriantini, Ari St. Suwarsono SULTHON AFIFUDDIN, AHMAD Susanah SUSANAH Susanti, Gemi Susanti, Seftyana Ayu Suwarsono Suwarsono SYAMSU ALAM Syamsu Alam Tarida, Luthfiana Tatag Yuli Eko Siswono Tonra, Wilda Syam Utama, Dikey Putra WAHIDATUL HASANAH, NUR WIHDATUN NAFIIN, MUHAMMAD Winda Putri Ayu Kusuma Wurdani Winda Syam Tonra Wiryanto Wiryanto Wiryanto Wiryanto Wiwik Handayani Yusuf Fuad YUSUF FUAD

Title Search

Found 4 Documents Search Journal : Journal on Mathematics Education

Abstract

Abstract

Abstract

Abstract

Title

Found 4 Documents
Search
Journal : Journal on Mathematics Education