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Visualizing geometry: exploring the role of geogebra-assisted 6E-IM model in enhancing students’ spatial abilities Prasetya, Natan; Gorky Sembiring, Maximus; Sudirman, Sudirman; Rodríguez-Nieto, Camilo Andrés
International Journal of Mathematics and Sciences Education Vol. 3 No. 1 (2025): Ijmsed
Publisher : Nashir Al-Kutub Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59965/ijmsed.v3i1.176

Abstract

Students’ spatial visualization ability is a key component in understanding geometry, yet many students exhibit suboptimal performance in this area. This study aimed to (1) evaluate the quality of the Geogebra-assisted 6E-IM learning model, (2) examine its effect on students' spatial visualization ability, and (3) describe students' ability levels after receiving the intervention. A sequential explanatory mixed-methods design was used. The independent variable was the Geogebra-assisted 6E-IM model, while the dependent variable was students’ spatial visualization ability. A total of 60 students participated, with 30 assigned to the experimental group and 30 to the control group. Data were collected through tests, interviews, and questionnaires. Quantitative results showed that students in the experimental group significantly outperformed the control group (p < 0.05), indicating a positive effect of the Geogebra-assisted 6E-IM model on spatial visualization ability. Qualitative analysis revealed that students with high ability met all spatial visualization indicators; those with moderate ability met two indicators, while those with low ability met only one. These findings demonstrate that the integration of Geogebra in the 6E-IM learning model can effectively enhance students’ spatial visualization skills in geometry. This study contributes to the development of innovative, technology-integrated instructional strategies in mathematics education.
Sinergi pembelajaran berbasis masalah dan motivasi berprestasi: membentuk kompetensi pemecahan masalah matematis siswa sekolah menengah kejuruan Triyono, Didik; Gorky Sembiring, Maximus; Dwi Susandi, Ardi
International Journal of Progressive Mathematics Education Vol. 5 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. HAMKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/ijopme.v5i2.21210

Abstract

Purpose: This study evaluates the impact of Desmos-assisted Problem-Based Learning (PBL) compared to expository instruction on students' Mathematical Problem-Solving Ability (PSA) while accounting for varying levels of Achievement Motivation (AM) in vocational high schools. Design/methodology/approach: A quasi-experimental design was employed using Two-Way ANOVA. The sample comprised vocational students divided into experimental and control groups. Data were gathered through PSA tests and AM questionnaires. Findings: Desmos-assisted PBL significantly outperformed expository methods in enhancing PSA. Students with high AM demonstrated superior results. Crucially, no significant interaction was found between the teaching model and AM levels regarding PSA outcomes. Practical implications: Integrating Desmos into PBL serves as a robust pedagogical strategy for educators to bolster numeracy literacy and workforce readiness by fostering active cognitive engagement. Originality/value: This research contributes to the literature by integrating digital graphing tools (Desmos) within PBL frameworks specifically tailored to the vocational education context.   Purpose: Penelitian ini bertujuan membandingkan Kemampuan Pemecahan Masalah (KPM) matematis antara model Pembelajaran Berbasis Masalah (PBM) berbantuan Desmos dengan pembelajaran ekspositori, serta menganalisis pengaruh tingkat Motivasi Berprestasi (MB) terhadap KPM siswa SMK. Design/methodology/approach: Menggunakan desain quasi-experiment dengan analisis ANOVA Dua Arah. Sampel terdiri dari dua kelompok siswa SMK (eksperimen dan kontrol). Instrumen penelitian meliputi tes KPM dan angket MB. Findings: PBM berbantuan Desmos secara signifikan lebih efektif meningkatkan KPM dibanding model ekspositori. Siswa dengan MB tinggi mencapai skor KPM terbaik. Namun, tidak ditemukan interaksi antara model pembelajaran dan tingkat MB dalam memengaruhi KPM. Practical implications: PBM berbantuan Desmos terbukti sebagai strategi pedagogis efektif bagi guru SMK untuk meningkatkan literasi numerasi dan kesiapan kerja siswa melalui penguatan proses berpikir aktif. Originality/value: Studi ini memberikan kebaruan pada integrasi alat digital Desmos dalam sintaks PBM untuk mengatasi rendahnya KPM pada konteks pendidikan vokasi (SMK).
The Effect of Mathematical Connection and Critical Thinking Skills on Mathematical Problem Solving Skills of Vocational School Students Johanna Purba, Merry; Gorky Sembiring, Maximus; Sitompul, Pardomuan
Journal Research of Social Science, Economics, and Management Vol. 5 No. 6 (2026): Journal Research of Social Science, Economics, and Management
Publisher : Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59141/jrssem.v5i6.1299

Abstract

Mathematical problem-solving skills are an essential competency for vocational school students because they relate to the demands of the world of work that require analysis, reasoning, and proper decision-making. However, the results of observations show that students' problem-solving skills are still low, so a study of the factors that affect them is needed. This study aims to analyze the influence of mathematical connection skills and critical thinking skills on the mathematical problem-solving ability of vocational school students. The study uses a quantitative approach with a correlational ex-post facto type. The research sample amounted to 93 grade XI students of SMK Negeri 1 Doloksanggul who were selected through purposive sampling techniques. The research instruments include mathematical connection tests, critical thinking tests, and problem-solving tests that have been validated and declared reliable. The data were analyzed through simple regression tests and multiple linear regression. The results of the study showed that there was a positive and significant influence of mathematical connection ability on problem-solving ability; there is a positive and significant influence of critical thinking skills on problem-solving skills; and these two variables simultaneously have a significant effect on problem-solving ability. The greatest contribution comes from the ability to think critically. These findings confirm the importance of strengthening mathematical connections and critical thinking in mathematics learning in vocational schools.