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The Pedagogical Role of Verification in Supporting Mathematical Justification within the ACTIVER Learning Model Sri Lestari; Kartono Kartono; Masrukan Masrukan; Emi Pujiastuti
Journal of General Education and Humanities Vol. 5 No. 4 (2026): August
Publisher : MASI Mandiri Edukasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58421/gehu.v5i4.1963

Abstract

Mathematical justification requires students to examine and defend mathematical claims rather than merely produce correct answers. However, vocational students often experience difficulty constructing defensible mathematical arguments, while verification may be limited to checking final answers. This study examines the pedagogical role of Verify Understanding within ACTIVER, a differentiated mathematical reasoning learning model developed using the ADDIE framework. The broader study was conducted from March 2025 to May 2026. The comparative implementation involved 216 Grade X vocational high school students across six intact classes and was delivered over eight meetings. Quantitative evidence included posttest achievement, mastery proportions, and normalized gain, while implementation evidence was examined in relation to predefined justification indicators. In the limited trial, the ACTIVER group achieved a higher posttest mean than the comparison group (83.86 vs. 64.39), t(70) = 17.232, p < .001, d = 4.06. In the broader trials, experimental means of 84.44 and 85.39 exceeded comparison means of 69.56 and 71.00, respectively (p < .001). Mastery proportions and learning gains consistently favored ACTIVER. Verification provided structured opportunities to examine evidence, respond to critique, and revise mathematical reasoning. Its contribution should nevertheless be interpreted within the integrated ACTIVER sequence rather than as an independently tested intervention.
Investigating the Reasoning Abilities of Junior High School Students in Solving Mathematical Problems Habibullah; Stevanus Budi Waluya; Masrukan; Iqbal Kharisudin
Indonesian Educational Research Journal Vol. 4 No. 1 (2026): Current trends in education and learning
Publisher : CV. Samuel Manurung and Co

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56773/ierj.v4i1.154

Abstract

This study aimed to analyze junior high school students’ errors in solving mathematical reasoning problems. A descriptive qualitative approach was employed involving 31 students from a junior high school in Batam City, Indonesia, selected through random sampling. Data was collected using mathematical reasoning tests and semi-structured interviews. The analysis focused on five indicators of mathematical reasoning: identifying problems, developing conjectures or patterns, implementing strategies, reflecting on solutions, and drawing conclusions. The findings revealed that students experienced substantial difficulties across all indicators. Errors in drawing conclusions were the most dominant (100%), followed by identifying problems (93.55%), reflecting on solutions (93.55%), implementing strategies (80.65%), and developing conjectures or patterns (70.97%). The interview results indicated that students’ errors were caused by limited conceptual understanding, difficulties in interpreting mathematical information, inability to connect concepts with appropriate strategies, carelessness, and time pressure. These findings suggest that students require more intensive learning experiences emphasizing conceptual understanding, reflective thinking, and mathematical reasoning practices in classroom instruction
Problem-based learning to improve students' mathematical communication skills and learning motivation Anny Cahyani Dyah Ekowati; Masrukan
AKSIOMA: Jurnal Matematika dan Pendidikan Matematika Vol. 16 No. 3 (2025): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/zp5hky49

Abstract

This study aims to analyze the implementation of Problem-Based Learning (PBL) in improving students' mathematical communication skills and learning motivation. The method employed was a Systematic Literature Review (SLR), which analyzed ten published articles from 2019 to 2024. The results indicate that PBL is effective in enhancing students' mathematical communication skills, with 75% of the reviewed articles reporting significant improvements. These improvements were primarily achieved through discussion activities, problem-solving, and collaboration. Furthermore, learning motivation exhibits a positive correlation with mathematical communication ability, as students with higher motivation tend to demonstrate better communication skills. The findings of this study confirm that PBL can serve as an innovative solution to improve students' mathematical communication skills and learning motivation.
Penerapan model PjBL berbantuan geogebra untuk meningkatkan kemampuan berpikir kreatif matematis siswa Dina Junita; Masrukan
AKSIOMA: Jurnal Matematika dan Pendidikan Matematika Vol. 16 No. 2 (2025): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/25gqc274

Abstract

Mathematical creative thinking skills are essential for students in the digital era, as they help students generate new ideas in problem-solving. Creative thinking is one of the 4Cs skill competencies identified as key 21st-century educational skills. Mathematics is one of the subjects expected to enhance students’ mathematical creative thinking abilities through the appropriate selection of learning models, media, and methods.The purpose of this study is to determine the effectiveness of learning using the Project-Based Learning (PjBL) model assisted by GeoGebra in improving students’ mathematical creative thinking skills. The method used in this study is the Systematic Literature Review (SLR). Literature searches were conducted through Google Scholar and Scopus within the time span of 2018–2025. The search yielded 26 articles related to the use of the Project-Based Learning (PjBL) model assisted by GeoGebra and students’ mathematical creative thinking skills. Based on the results of the literature review, it can be concluded that the implementation of the PjBL model assisted by GeoGebra is effective in enhancing students’ mathematical creative thinking skills.