Ike Natalliasari
Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Siliwangi

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Effect of the Teaching at the Right Level Approach on Students' Mathematical Problem-Solving Ability Rika Kamelia Sartika; Ike Natalliasari; Redi Hermanto
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 3 (2026): July - September 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i3.5299

Abstract

Mathematical problem-solving ability is an essential competency in mathematics learning because it enables students to understand, analyze, and solve problems systematically. However, students' mathematical problem-solving ability remains relatively low, necessitating a learning approach capable of accommodating differences in students' abilities through instruction tailored to their initial ability levels. The Teaching at the Right Level (TaRL) approach enables learning to be adapted to students' initial ability levels, thereby potentially improving mathematical problem-solving ability. This study aims to determine the effect of implementing the Teaching at the Right Level approach on mathematical problem-solving ability in the topic of linear equations. The research employed a quantitative method with a posttest-only control group design. The population of this study consisted of all eighth-grade students of SMP Negeri 15 Tasikmalaya in the 2025/2026 academic year. The research sample was selected using a cluster random sampling technique, resulting in class VIII-F as the experimental group, consisting of 33 students, and class VIII-E as the control group, consisting of 33 students. The experimental group received learning treatment using the Teaching at the Right Level approach, while the control group used the Scientific approach. Data were collected using a mathematical problem-solving ability test consisting of three essay items on the topic of linear equations, which had met the validity and reliability requirements. The data analysis techniques used included the normality test, homogeneity test, and hypothesis testing using the Independent Sample t-Test. The results showed a significant difference in mathematical problem-solving ability between students taught using the TaRL approach and those taught using the Scientific approach (t = 4.627, p value < 0.05). Thus, the implementation of learning using the Teaching at the Right Level approach had a positive effect on students' mathematical problem-solving ability (Cohen's d = 1.14).
Effect of GeoGebra-Assisted Discovery Learning on Junior High School Students’ Conceptual Understanding of Straight-Line Equations Rahmi Lestari; Yeni Heryani; Ike Natalliasari
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 3 (2026): July - September 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i3.5373

Abstract

Developing conceptual understanding remains a central challenge in mathematics education, particularly when students rely on procedural formulas without understanding the relationships among mathematical representations. This study examined whether GeoGebra-assisted discovery learning was associated with higher conceptual understanding of straight-line equations among eighth-grade students. A quasi-experimental posttest-only control-group design was employed involving 60 students from SMP Negeri 14 Tasikmalaya, Indonesia, assigned to an experimental class 30 students and a control class 30 students. The experimental group received GeoGebra-assisted discovery learning, whereas the control group received without GeoGebra-assisted discovery learning. Students’ conceptual understanding was assessed using a validated 5-item open-ended test. Data were analyzed using descriptive statistics and an independent-samples t-test, complemented by Cohen’s d to estimate the magnitude of the between-group difference. The experimental group obtained a higher mean posttest score (M = 11.10) than the control group (M = 8.47), and the difference was statistically significant (p = .003). The standardized mean difference was d = 0.79, indicating a substantial advantage for students who participated in GeoGebra-assisted discovery learning. Within the experimental group, 16.67% of students were classified as having high conceptual understanding, 70.00% moderate understanding, and 13.33% low understanding. These findings suggest that integrating dynamic GeoGebra representations into discovery-oriented activities can support students’ conceptual understanding of straight-line equations. The study provides empirical evidence for the instructional value of combining guided mathematical discovery with dynamic representations in junior high school mathematics