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All Journal Al-Jabar : Jurnal Pendidikan Matematika Journal of Advanced Sciences and Mathematics Education
Camilo Andres Rodriguez-Nieto
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Chemistry Education Mathematics Physics Social Sciences

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Students’ problem-solving skills in HOTS geometry tasks: A case study of spatial ability Musa, Lisa Aditya Dwiwansyah; Munir, Nilam Permatasari; Muhammad Ikram; Javier Garcia Garcia; Camilo Andres Rodriguez-Nieto
Al-Jabar: Jurnal Pendidikan Matematika Vol 16 No 2 (2025): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v16i2.28482

Abstract

Purpose: This study aims to analyze the problem-solving processes of students with high spatial ability when solving geometry problems based on Higher Order Thinking Skills (HOTS). The research was motivated by the persistently low performance of Indonesian students in international assessments such as PISA and TIMSS, highlighting the need to explore cognitive factors that underpin HOTS, particularly spatial reasoning. Method: A qualitative descriptive approach was employed. Two students with high spatial ability were selected through a snowball sampling technique, based on spatial ability test results and teacher recommendations. Data were gathered through unstructured interviews and classroom observations, focusing on how the participants approached and solved HOTS-based geometry problems. The collected data were analyzed through three stages: data reduction, data display, and conclusion drawing. Findings: The findings show that students with high spatial ability demonstrate effective visualization and reasoning processes that enable them to comprehend problem statements, identify relevant information, and design appropriate strategies for solving HOTS-based geometry problems. They can implement their strategies accurately, evaluate their reasoning, and justify their conclusions confidently. Significance: This study underscores the pivotal role of spatial ability in fostering students’ Higher Order Thinking Skills in geometry learning. The findings suggest the need to incorporate spatial reasoning tasks into mathematics instruction and to design HOTS assessment instruments that account for students’ spatial cognitive profiles.
Effects of a TPACK-based online didactic design on university students’ statistical literacy: A quasi-experimental study Kartono, Kartono; Sudirman, Sudirman; Camilo Andrés Rodríguez-Nieto
Journal of Advanced Sciences and Mathematics Education Vol. 6 No. 1 (2026): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v6i1.1103

Abstract

Background: Students in distance statistics courses often achieve lower learning outcomes compared to those in face-to-face settings. Although the Technological Pedagogical Content Knowledge (TPACK) framework has been widely applied in technology-integrated instruction, limited empirical evidence clarifies whether prior mathematical knowledge (PMK) moderates its effectiveness in asynchronous online statistics learning. Aim: This study examined the effectiveness of a TPACK-based online tutorial design in improving students’ statistical literacy and investigated the moderating role of PMK. Methods: A quasi-experimental design involved 170 distance education students (experimental n = 85; control n = 85) classified into low, medium, and high PMK levels. The experimental group participated in a 12-session TPACK-based online tutorial with periodic webinar integration, while the control group received conventional online instruction. Statistical literacy was measured using post-test and normalized gain scores and analyzed through two-way ANOVA and simple effects tests. Results: The analysis revealed a significant main effect of tutorial design (ηp² = .102–.116), indicating higher achievement among students receiving TPACK-based instruction. PMK showed a stronger main effect (ηp² = .215–.230), suggesting substantial differences in performance across readiness levels. A significant interaction effect demonstrated a threshold pattern. Students with medium and high PMK obtained significantly higher post-test scores and normalized gains in the experimental group, while students with low PMK showed no statistically significant differences between tutorial designs. The magnitude of learning gains increased consistently from low to high PMK categories, confirming that instructional benefits intensified alongside mathematical readiness. Conclusion: The effectiveness of TPACK-based online tutorials depends on students’ prior mathematical knowledge. Instructional advantages are pronounced for learners with adequate foundational skills but limited for those with low readiness. These findings emphasize the need for adaptive support mechanisms to ensure that technology-integrated instruction produces equitable outcomes in distance statistics education.
Co-Authors Javier Garcia Garcia Kartono , Muhammad Ikram Munir, Nilam Permatasari Musa, Lisa Aditya Dwiwansyah Sudirman Sudirman