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Journal : jurnal pendidikan progresif

The Effect of Project-Based Learning on Students’ Systematic Thinking Skills in Elementary Mathematics Irnesari, Ella; Syarifudin, Syarifudin; Adiansha, Adi Apriadi
Jurnal Pendidikan Progresif Vol 15, No 2 (2025): Jurnal Pendidikan Progresif
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpp.v15i2.pp1275-1289

Abstract

The purpose of this study is to evaluate the effect on the systematic reasoning capacity of elementary mathematics students of the Project-Based Learning (PjBL) model. The study consisted in a quasi-experimental design with an experimental group applying PjBL and a control group using conventional methods. Purposive sampling enabled participants to be chosen from several elementary schools. The Minimum Competency Assessment guided the method of data collecting by means of a systematic thinking skills test. The test consisted in essay questions covering students's capacity to identify patterns, develop plans, investigate conceptual links, and evaluate approaches of problem-solving. An observation notebook was also used to document student participation and activity all through the learning process. Among other statistical tests, paired and independent t-tests let one compare the pretest and posttest scores. From the data, higher posttest scores and statistically significant deviations exposed that students in the PjBL group showed a rather better improvement in systematic thinking than the control group. Additionally, the observation data demonstrated that PjBL students utilized analytical and reflective thought during the project operations, actively participated in peer-based conversations, and increased their participation. Through their connection between mathematical ideas and practical problems, these learning opportunities helped students to develop their structured thinking and evaluation skills. By providing contextual, meaningful, and cooperative learning, the results imply that PjBL is efficient in the evolution of higher-order thinking. In order to improve students' systematic thinking a ability necessary for both academic success and practical problem-solving teachers are therefore advised to include PjBL into mathematics education. Keywords: project-based learning, systematic thinking, mathematics learning.
Exploring Polya's Problem-Solving Stages, Cognitive Components, and Role Change Dynamics in Mathematical Problem-Solving Discussions Abdul Haris; Muslim Muslim; Mutmainah Mutmainah; Adi Apriadi Adiansha
Jurnal Pendidikan Progresif Vol 16, No 2 (2026): Jurnal Pendidikan Progresif
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpp.v16i2.pp910-930

Abstract

This study aims to examine the effectiveness of integrating Polya's problem-solving stages with commognitive discourse practices in collaborative learning, and to describe the associations among Polya's stages, commognitive components, and the dynamics of role change in mathematical problem-solving discussions, as well as their contributions to the development of mathematical thinking quality. A quantitative approach with a quasi-experimental Non-Equivalent Control Group Design was employed. Participants were pre-service teacher students at STKIP Taman Siswa Bima, assigned to an experimental class (n = 30) and a control class (n = 30). Data were collected using a mathematics problem-solving test based on Polya's four stages and structured observation instruments that measured cognitive components and changes in discussion roles. Data analysis included Rasch-model-based instrument quality testing, normality and homogeneity prerequisite tests, a paired-samples t-test for each class separately to assess within-group pre-post differences (df = 29 per class), an independent-samples t-test on N-Gain scores to compare treatment effectiveness between classes (df = 58), and an N-Gain analysis to assess treatment effectiveness. Instruments demonstrated strong validity (PTMEA Corr. = 0.40–0.65) and high reliability (person reliability = 0.87–0.88). The experimental class showed significantly greater improvement in mathematical problem-solving ability than the control class (posttest means: 49.5 vs. 43.7). The paired t-test confirmed a significant pre–post improvement in the experimental class [t(29) = 2.435, p = 0.021] but not in the control class [t(29) = 1.295, p = 0.206]. Observational data indicated that activation of commognitive components:  consistent use of mathematical terms, visual mediators, and justification narratives, and the emergence of dynamic role changes during discussion were associated with improvements in problem-solving quality. Mathematical problem solving develops more effectively when Polya's heuristic stages are integrated with cognitive-discursive practices that foster epistemic role changes in collaborative discussions. This integration offers an innovative framework for designing meaningful, discussion-based mathematics learning. Keywords: mathematical problem solving, Polya’s stages, commognitive, collaborative discussion, role change.
Co-Authors Abd. Haris Ady Irawan Agustina, Sri Rezeki Agustinasari Agustinasari Alfani Wulandari Amrin Amrin Anggun Rahmaniar Anita Nurgufriani Asriyadin Asriyadin Ayudia Pratiwi Borolla, Vridolin Vrosansen Bulqis, Ratu Dani, Rahmat Deysti Trifena Tarusu Eka Kurniati Fadlilatul Hikmah Fatmah Fatmah Febriana Utami Fiqry, Rizalul Fitriana Furkan Furkan Furkan, Nuril Halmatuzzuhrotulaini1, Baiq Hardianty, Ruri Hendrawansyah, Hendrawansyah Husnul Khatimah Husnul Khatimah Ibnu Khaldun Ihsan Ihsan Ilham Ilham Indah Indah Indah Intan Nuraini Irawan, Ady Irnesari, Ella Jumaidin, Jumaidin Jumiyati Jumiyati Jumrani Jumrani Kartini Mulyati Khaerul Anam Khairil Anwar Khairul Sani Khairul Sani, Khairul Khusnul Khatimah L. Lisnawati Lia Fahrunnisa M. Ibnusaputra M. Syafii Makmuri Mariamah Mariamah Mawardin Mawardin Mega Fatimah Rosana Muhamad Syarif Sumantri Muhammad Fazryn Muhammad Fuadi Muhammad Fuadi Muhammad Yusuf Muhammad Yusuf MULYADI Mulyadi Mulyadi Mulyadi Mulyadi Mulyadin Mulyadin Muslim Muslim Muslim Muslim Muslim Mutmainah Mutmainah Nanang Diana Nandita, Nur Nasution Nasution Novita Ningsih Nur Halizsah Andini Nur Intan, Nur Nur Rizkiyah Nurgufrini, Anita Nurhairunisah, Nurhairunisah Nurhikmah Nurhikmah Nurhikmah Nurhikmah Nurhikmah Nurjumiati Nurjumiati Nurul Uyun Putri Raden Sudarwo rahhman, nur Rahmawati, Rahmawati Ramli Rendy Permana Sabrina Sabrina Sakinah Mawadah Warahmah Sarimah Sarimah Sri Yanti Suciyati Suciyati Sudarwo, Raden Sudarwo, Raden Suhartyaningsih Suhartyaningsih, Suhartyaningsih Suriya Ningsyih Suryani Suryati Suryati Syahriani Yulianci Syamsiar, Syamsiar Syarifuddin Syarifuddin Syarifuddin Syarifuddin Syarifuddin Syarifuddin Syarifudin Syarifudin Syarifudin Syarifudin Tunnisa, Faiqa Umul Aiman Widyanti Nafisah Yanti, Erni Yusriati, Yusriati Z Misykah Zulela Ms Zulharman Zulharman