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All Journal Kognitif: Jurnal Riset HOTS Pendidikan Matematika
Ipah Muzdalipah
Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Siliwangi
Computer Science & IT Education Library & Information Science Mathematics Social Sciences Other

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Improving Students’ Mathematical Reasoning Ability through the Use of the Joyful Learning Model Assisted by GeoGebra Silpa Rahmawati; Ipah Muzdalipah; Siska Ryane Muslim
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 1 (2026): January - March 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i1.1755

Abstract

The mathematics learning process in schools often faces challenges such as low student engagement, limited conceptual understanding, and the dominance of less interactive teaching approaches. These conditions hinder the development of higher-order thinking skills, particularly students’ mathematical reasoning ability. Therefore, innovative and technology-assisted learning models are required to improve the effectiveness of mathematics instruction. This study aims to examine the improvement of students’ mathematical reasoning ability through the implementation of the Joyful Learning model assisted by GeoGebra. The research employed an experimental method using a One Group Pretest–Posttest Design. The population consisted of all seventh-grade students of SMP 3 Al-Muhajirin, while the sample comprised 29 students from Class VII E selected using a simple random sampling technique. Data were collected using an essay-based test designed to measure mathematical reasoning ability and administered before and after the learning intervention. Statistical analysis was conducted using normality testing and the Wilcoxon signed-rank test with the support of IBM SPSS Statistics 24. The results indicate a statistically significant difference between pretest and posttest scores, showing an improvement in students’ mathematical reasoning ability after the implementation of the Joyful Learning model assisted by GeoGebra. This improvement reflects students’ enhanced ability to propose conjectures, identify patterns, apply mathematical manipulation, and draw logical conclusions. These findings suggest that the integration of the Joyful Learning model and GeoGebra is an effective instructional approach for fostering mathematical reasoning ability and creating a more engaging mathematics learning environment.
Analysis of Students' Mathematical Representation Ability in Terms of Adversity Quotient Tyas Rahayu Wijayani; Ipah Muzdalipah; Depi Setialesmana
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 1 (2026): January - March 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i1.3245

Abstract

This study aims to describe students' mathematical representation abilities in terms of Adversity Quotient (AQ). The study used a qualitative method with a descriptive approach. Four students of grade XI MIPA MA Serba Bakti were selected purposively based on the results of the AQ questionnaire to represent the categories of Climbers, Campers–Climbers, Campers, and Quitters–Campers. The research instruments were an AQ questionnaire, a mathematical representation ability test, and a validated interview. Data were analyzed using the Miles and Huberman model which includes data reduction, data presentation, and conclusion drawing. The results showed that the higher the AQ category, the more complete, detailed, and correct the mathematical representation produced. Conversely, the lower the AQ category, the mathematical representation tends to be incomplete, incoherent, or produce incorrect answers. This finding confirms the relationship between AQ and mathematical representation abilities. Theoretically, this study strengthens the study of the role of non-cognitive factors in mathematics learning, while pedagogically its implications encourage teachers to consider AQ factors in designing learning strategies.
Co-Authors Depi Setialesmana Silpa Rahmawati Siska Ryane Muslim Tyas Rahayu Wijayani