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Creative Thinking of Junior High School Students in Solving Fraction Problems: Insights from Polya’s Problem-Solving Steps Hanifah, Mifthaqul; Siswono, Tatag Yuli Eko; Harini, Novita Vindri; Ching, Ong Khye
Journal of the Indonesian Mathematics Education Society Vol. 3 No. 2 (2025): Journal of the Indonesian Mathematics Education Society
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jimes.v3n2.p68-77

Abstract

This study aims to analyze the creative thinking ability of junior high school students in solving mathematical problems on fractions material based on Polya's procedure. This research used a descriptive qualitative approach with the subject of two students who were selected purposively. The research instruments were problem solving questions based on Polya's four steps and interview guidelines to explore students' creative thinking processes. Data analysis was based on three indicators of mathematical creativity, namely fluency, flexibility, and novelty. The results showed that both subjects were able to understand the problem and identify relevant information, but there were differences in the problem-solving strategies used. The subject tends to use one conventional strategy without exploring other alternatives, so it has not met the indicators of flexibility and novelty. Meanwhile, the subject was able to generate several ideas and try various solution strategies, thus fulfilling the indicators of fluency, flexibility, and novelty. In addition, it was found that difficulties in understanding the concept and visual representation of fractions also affected students' creative thinking process. This finding confirms the importance of implementing open problem-based learning and systematic use of Polya's procedures to develop students' creative thinking skills, especially on fraction materials. The results of this study are expected to be a reference for teachers in designing mathematics learning strategies that are more innovative and according to the needs of students in junior high schools.
Creative Thinking Ability of Junior High School Students in Solving Open-Ended Problems on Plane Geometry Ardiansyah, Dicky; Siswono, Tatag Yuli Eko; Harini, Novita Vindri; Heng, Limalin
Journal of the Indonesian Mathematics Education Society Vol. 3 No. 2 (2025): Journal of the Indonesian Mathematics Education Society
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jimes.v3n2.p88-96

Abstract

This study aims to analyze the creative thinking abilities of Junior High School students in solving open-ended mathematical problems. Creative thinking ability is an essential aspect of mathematics, particularly when solving problems that require varied solutions. This research employs a descriptive qualitative approach involving five seventh-grade students. Data were collected through open-ended problem-solving tests and interviews. The analysis was conducted by identifying indicators of creative thinking, such as fluency, flexibility, and novelty, based on students’ responses. The results show that students’ creative thinking abilities vary. Some students were unable to produce multiple different solutions (flexibility). Elaborating on their answers also posed a challenge for 60% of the students. This study provides implications for the development of mathematics learning that emphasizes enhancing students’ creative thinking abilities through open-ended problems.
Menilai Kualitas Tugas Matematika Buatan Guru SMP dengan Stimulus Soal Berbasis Literasi dan Numerasi yang Menumbuhkan Berpikir Kritis Siswa Ismail; Siswono, Tatag Yuli Eko; Masriyah; Abadi
MATHEdunesa Vol. 15 No. 1 (2026): Jurnal Mathedunesa Volume 15 Nomor 1 Tahun 2026
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v15n1.p72-80

Abstract

Questions that encourage students to construct meaning and build mental connections tend to foster critical thinking skills. Previous research on junior high school mathematics teachers shows that, in reality, teachers often have not been successful in teaching students to think critically; instead, they focus more on teaching the subject matter content alone. The problem concerns how to improve the quality of mathematics tasks designed by junior high school mathematics teachers in Pasuruan Regency, and whether the tasks developed by teachers have already fostered students’ critical thinking skills. One effort that teachers can undertake is to use literacy- and numeracy-based problem stimuli in the tasks given to students. However, the development of literacy- and numeracy-based questions that can enhance critical thinking skills has not yet been well mastered by mathematics teachers. Therefore, they need to engage in direct, interactive activities with experts in mathematics education, particularly in the field of critical thinking. Through the workshop on critical thinking–oriented learning for junior high school mathematics teachers in Pasuruan Regency, it is expected that teachers will be able to design literacy- and numeracy-based problem stimuli to be used in critical thinking–oriented mathematics instruction at the junior high school level. The results of the teacher mentoring activities in designing mathematics tasks with literacy- and numeracy-based problem stimuli for critical thinking–oriented mathematics learning at the junior high school level are as follows: 16 out of 19 participants (84%) produced stimuli that were well designed based on literacy and numeracy, containing sufficient information to develop questions that trigger students’ critical thinking skills; 2 out of 19 participants (10.5%) produced stimuli that were fairly well designed based on literacy and numeracy, containing limited information to develop questions that stimulate students’ critical thinking skills; and 1 out of 19 participants (5%) produced stimuli that were poorly designed based on literacy and numeracy, containing no information that could develop questions to stimulate students’ critical thinking skills. Based on the questionnaire results, 53.8% of participants strongly agreed and 46.2% agreed that the workshop materials could be easily understood and applied; 76.9% strongly agreed and 23.1% agreed that the workshop materials were delivered in a well-structured and systematic manner; 84.8% strongly agreed and 15.4% agreed that the resource person mastered the material presented; 61.5% strongly agreed and 38.5% agreed that the resource person presented the material clearly and sequentially; 69.2% strongly agreed and 30.8% agreed that the answers provided by the resource person to participants’ questions were very clear; and 38.5% strongly agreed, 46.2% agreed, while only 15.4% disagreed that the duration of the training was appropriate.
USING THE MOORE'S THEORY TO EXPLAIN PRESERVICE TEACHERS’ DIFFICULTIES IN PROVING OF THE TRIANGLE SUM THEOREM Hartono, Sugi; Siswono, Tatag Yuli Eko; Ekawati, Rooselyna; Bonyah, Ebenezer
Jurnal Ilmiah Ilmu Terapan Universitas Jambi Vol. 9 No. 1 (2025): Volume 9, Nomor 1, March 2025
Publisher : LPPM Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/jiituj.v9i1.36349

Abstract

This study aims to analyze the difficulties of preservice teachers’ in proving the triangle sum theorem. The method of this study is used a qualitative method with 58 of preservice mathematics teacher studying for a Bachelor of Education degree in Universitas Negeri Surabaya, Indonesia. The authors analysed the written responses to a 1 item worksheet and also conducted interviews with seven of the participants. The analysis of the data was guided by Moore’s theory which was used to identify difficulties of preservice teachers’ in proving of the triangle sum theorem. The results showed that still many of preservice teachers still difficulties in proving of the triangle sum theorem. There were 38% of preservice teachers who answered correctly and 62% of preservice teachers answered incorrectly in compiling proof. It was found that several preservice teachers had difficulties in compiling proofs, namely 30 preservice teachers had difficulty understanding the concept, 2 preservice teacher's did not understand the language and mathematical notation and 4 preservice teacher's had difficulty starting the proof. The novelty of this research is introducing a new theoretical analysis related to the difficulty in proving the fundamental theorem of geometry, namely Moore's theory. This study recommends that preservice teacher’s should be given solution through scaffolding to help preservice teacher's understand the concept of proof so that students can compiling proofs with correct.
Development of a pattern-based numeracy learning module to enhance students' creative thinking and numeracy skills Yuniati, Yesi; Siswono, Tatag Yuli Eko; Prastiti, Tri Dyah
Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika Vol. 8 No. 3 (2025): Jurnal Absis
Publisher : Program Studi Pendidikan Matematika Universitas Pasir Pengaraian

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30606/absis.v8i3.3484

Abstract

Numeracy and creative thinking are essential skills for elementary students to solve contextual and complex mathematical problems. This study aims to develop and evaluate a numeracy learning module based on number and visual patterns for fourth-grade students. A research and development approach was applied using the ADDIE model (Analysis, Design, Development, Implementation, Evaluation). The module was validated by content and media experts, and tested at SDN Banjarkemuning and SDN Semampir 1. Data were collected through expert validation sheets, implementation observations, student response questionnaires, and pretest–posttest instruments. The validation process indicated that the module met high standards of content quality, clarity of language, presentation, and visual design. The implementation of the module resulted in a significant improvement in students' numeracy and creative thinking skills, as reflected in the posttest score gains. The study's main contribution lies in integrating numeracy and creativity in a single contextual, activity-based teaching tool. These findings support the potential of structured and contextualized numeracy instruction to enhance conceptual understanding and student engagement. The implications suggest that such modules can be effectively adopted to enrich elementary mathematics instruction and curriculum design.
Proses Berpikir Kreatif Siswa dalam Pemecahan Masalah Kolaboratif pada Konteks Open Ended Dewi, Kharisma Normala; Siswono, Tatag Yuli Eko
MATHEdunesa Vol. 15 No. 1 (2026): Jurnal Mathedunesa Volume 15 Nomor 1 Tahun 2026
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v15n1.p93-105

Abstract

In 21st-century learning, creative thinking and collaboration skills are abilities that need to be developed in every subject, including mathematics. The low level of creative thinking skills among Indonesian students, as shown in the PISA results, as well as students' difficulties in individual problem solving, are important reasons for exploring the collaborative creative thinking process. Therefore, this study uses open-ended questions because this type of question allows for a variety of solution strategies and ideas to emerge, exposing students' creative thinking processes in a collaborative context. This study aims to describe students' creative thinking processes in collaborative problem solving in heterogeneous groups (high, medium, and low). This research is a descriptive qualitative study with two groups of eighth-grade students at a junior high school in Gresik as subjects. Data collection techniques included tests, observations, and interviews. Data analysis was conducted based on the stages of creative thinking according to Siswono (2008) and collaboration competencies according to the OECD (2017). The results showed that Group 1 demonstrated collaboration through active communication, role-sharing, and contributions from all members. This group successfully met all indicators of creative thinking, such as fluency, flexibility, and originality. In contrast, Group 2 was dominated by high-ability students in the early stages, while other members tended to be passive. Although participation increased during the planning phase of idea implementation, this group could only meet the fluency and flexibility indicators. The creative thinking process of both groups went through the stages of synthesizing ideas, developing ideas, planning idea implementation, and implementing ideas. Interaction patterns showed that high-ability students tended to lead, moderate-ability students acted as connectors, and low-ability students were passive but still contributed to task execution.
Pengembangan E-Book Bangun Datar untuk Meningkatkan Kemampuan Berpikir Kritis Siswa Kelas III Sekolah Dasar Andriani, Wiwik; Siswono, Tatag Yuli Eko; Prastiti, Tri Dyah
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 6 No. 1 (2023): Vol 6 No 1 Maret 2023
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v6i1.2544

Abstract

Penelitian ini bertujuan untuk menjelaskan kelayakan media e-book bangun datar dan menjelaskan apakah berpikir kritis siswa mengalami peningkatan sesudah belajar dengan media e-book bangun datar. Latar belakang diadakan penelitian ini karena tingkat berpikir kritis siswa rendah pada materi keliling bangun datar. Dalam penelitian ini menggunakan metode pengembangan model ADDIE. Analisis data yang digunakan adalah uji-t dan N-gain. Diperoleh persentase 90% dari orang yang kompeten di bidang materi, 91% dari orang yang kompeten di bidang bahasa, serta 92% dari orang yang kompeten di bidang media. Hasil uji kepraktisan dilihat dari hasil angket siswa diperoleh 92% artinya sangat praktis digunakan. Tingkat efektivitas berdasarkan posttest siswa secara individu dan klasikal mendapat nilai >71 termasuk dalam kategori tuntas, hal tersebut membuktikan media e-book bangun datar efektif digunakan. Berdasarkan hasil uji kelayakan media diketahui bahwa media e-book bangun datar layak dipakai dalam peningkatan kemampuan berpikir kritis. Hasil perhitungan menggunakan uji-t diperoleh rata-rata posttest sebesar 85,66 lebih tinggi dibandingkan nilai pretest sebesar 38,73. Hasil perhitungan menggunakan uji N-gain diketahui rata-ratanya sebesar 0,7 dalam rentang 0,3 ? g ? 0,7 dengan kriteria sedang. Berdasarkan hasil perhitungan uji-t dan N-gain bisa ditarik kesimpulan kemampuan berpikir kritis siswa meningkat secara signifikan sebelum dan sesudah menggunakan media e-book bangun datar dalam proses belajar mengajar.
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.
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.
The effect of digital mathematics learning on students’ problem-solving and creative thinking abilities in statistics learning Subiyati, Rini; Siswono, Tatag Yuli Eko; Ramdhani, Sendi
Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika Vol. 9 No. 1 (2026): Jurnal Absis
Publisher : Program Studi Pendidikan Matematika Universitas Pasir Pengaraian

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30606/absis.v9i1.3743

Abstract

Digital learning in mathematics has gained increasing attention as a way to support students’ higher-order thinking skills, particularly problem-solving and creative thinking. This study aimed to investigate the effect of digital mathematics learning on students’ problem-solving and creative thinking abilities in statistics. A quasi-experimental design was used involving 54 students who were divided equally into experimental and control groups. Data were collected through pretests and posttests and analyzed using descriptive statistics, paired-sample t-tests, and independent-sample t-tests. The results showed that the experimental group achieved higher posttest scores than the control group in problem-solving ability (72.41 vs. 63.78) and creative thinking ability (70.15 vs. 61.44). The experimental group also showed significant improvement from pretest to posttest in problem-solving ability (mean difference = 15.37, t = 8.21, p < 0.001) and creative thinking ability (mean difference = 14.81, t = 7.56, p < 0.001). In addition, students in the digital learning class performed better than those in the conventional class in fluency, flexibility, originality, and total creativity score. These findings indicate that digital mathematics learning can help students solve statistical problems more systematically and encourage creativity in exploring different solution strategies. This study highlights the importance of integrating digital media, such as interactive videos and Excel-based activities, into statistics learning to support more innovative mathematics instruction.
Co-Authors Abadi ABADI Abadi Abadi Abdul Haris Rosyidi Abdul Haris Rosyidi Abdul Haris Rosyidi ADINDA SURYA PUTRI, NOVIEA AGUNG LUKITO Agung Lukito Ahmad Wachidul Kohar Ain Putri Rustini Ainurrohmah, Indah Ajeng Rara Veronica Alfiati Oktaaviarina Alista Hariyanti Amalina, Ijtihadi Kamilia Amalina, Ijtihadi Kamilia Amelia Rida Zahra Hardian Hardian Aminah Ekawati Amirudin, Mochammad Amirudin, Mochammad Anis Shobikhah Aniskurnia Rahmadhani Fajerin Ardiansyah, Dicky Ari Mawanto Arief Budi Wicaksono Armeria Wijaya, Armeria Aryo Andri Nugroho Asma Johan Atik Wintarti Aulia Kholifatul Khasanah Auliya, Ahmad Sulthan AYU SEPTYANI, DWI Ayu Wulandari, Hilaria Yesieka Bahrudin, Eko Rahmad Bonyah, Ebenezer Cahyati, Vania Idelia Ching, Ong Khye Chusnul Fadlilah Dayat Hidayat Defi Imamatus Sholikha Deka Anjariyah Devya, Lenthera Mega Dewi Setianingsih Dewi, Kharisma Normala Dini Kinati Fardah Dita, Farah Dovina Meilisa Nur Fadilla Dwi Juniati Dwi Juniati Dwi Juniati Dwi Nur Yunianti DWI SISWANTORO, MAHMUD Ekawati , Rooselyna Elvita Novia Dinawati Ely Susanti Endah Budi Rahaju Endang Suprapti Endri Puji Lestari Evangelista Lus Windyana Palupi Evy Novia Nanda Artama Fachry Abda El Rahman FARIHATUS SADIYAH, IHDA Farman FATIMA AZZAHRO, ELOK Fatimatul Khikmiyah Fatmanissa, Namirah Fauzi, Habibillah Achmad Putra Fiangga, Shofan Fidyah Maulidah FILLAH FR, ASHDAQ Fitmawati, Entya Esa FITRIYAH, NUR Fitriyani Hali, Fitriyani Fran Susanto Galih Kurniadi Galih Kurniadi Gusti Uripno HABIB MANAN, MUHAMMAD Hanifah, Mifthaqul Harini, Novita Vindri Heng, Limalin Hikmah, Nur Hidayatul I Ketut Budayasa Ida Dwijayanti Ihsani, Ulynnuha Aulia Ijtihadi Kamilia Amalina Ika Dwi Retnowati Ika Kurniasari Ika Kurniasari Imelda Imelda Imelda Imelda Imelda Imelda Indarasati, Nanda Ayu Ismail Ismail Ismail Ismail, Ismail Jamhari Jamhari Jarkoni, Mustika Maharani Jayanti Putri Purwaningrum Julia Ayu Wulandari Kai-Lin Yang Karomah, Syarifatul Kartikawati, Wahyu Khoirun Nisa khusnul khotimah kiki ratnaning arimbi Kurnia Widyaningsih Laikha Sari Lenthera Mega Devya M. Fauzan Asy'ari M. Ulul Albab M. Zaenal Muttaqin MACHMUDAH, AMIROTUL Manuharawati Marpaung, Dian Wahyu Masriyah MASRIYAH Masriyah Masriyah Masriyah Masriyah Masriyah Masriyah Masriyah Masriyah Masriyah Maulida Aulia Mega Teguh Budiarto Meryansumayeka Meryansumayeka Mochammad Amirudin Moh. Hafiyusholeh Mudinillah, Adam Muh. Rizal Muhamad Alfian Efendi Muhammad Arif Fathoni muhtarom Muhtarom Muhtarom Muhtarom Murwaningsih, Wuri Indah Nabilah Kartika Sukmawati Nanda Ayu Indarasati Nanik Kurnia Sugiarti Ndayizeye, Oscar Neni Mariana Noerdiana, Azizah Firdha Novita Vindri Harini Nurdin Nurdin Nurul Laili Nuswantoro, Ari Wahyudi Nyimas Aisyah Oktaf Winda Wanodya Utama Oktaviana Ainun Ratnawati Oktaviana Ainun Ratnawati Oktaviana, Dwi Livia Pertiwi, Rizky Dian Pradnyo Wijayanti Putra, Misel Rajasyah Hadi Putri Dwi Naryaningsih Rachma Mufidah, Latifah Nuryah Rahaju, Endah Budi Rahman, Fatchiyah Rahmatika, Ismi Ramlah Ramlah Ramlah Ramlah Ratna Sari Dewi Ria Pusvita Sari Rini Setianingsih Rita Lefrida Rooselyna Ekawati ROYHAN, MUHAMMAD Rusydah Kamilah SANDI SETIAWAN, ARI Savirra Tazkia Sendi Ramdhani Setia Putri Ayu Ramadani Setianingsih, Rini Sipayung, Tetty Natalia Siti Khabibah Siti Khoiriyah Siti Maghfirotun Amin Siti Mistima Maat Siti Munawaroh Sri Wahyuni Subiyati, Rini Sugi Hartono Sugi Hartono Sugi Hartono, Sugi Suhendra Panca Wardhana Susanto, Fran Sutinah Syafiul Muzid Syamsu Alam SYAMSU ALAM Syarifatul Maf’ulah Syifa'uliyah, Syifa’uliyah Syifa’uliyah Syifa'uliyah tazkia, savirra Tri Dyah Prastiti Tri Rezeki, Irma Setiawati Tria Bitara Ucu Rahayu Ulul Azmi Uswatun Hasanah Uzlifatul Hasanah Uzlifatul Hasanah Vania Idelia Cahyati Wahyuni, Anik Sri Wiryanto Wiryanto Wiryanto Wiryanto Wiryanto Wiryanto Wiryanto Wiwik Andriani Wiwik Andriani Wulan Puspitasari Wulandari, Hilaria Yesieka Ayu Wuri Indah Murwaningsih Yatim Riyanto Yulia Puji Astuti Yumiati Yuniati, Yesi YUSUF FUAD Zahri, Mohammad Zulnaidi, Hutkemri