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Khazanah, Khazanah
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Mathematics

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MENGINTEGRASIKAN SEJARAH MATEMATIKA DAN PENDEKATAN GEOMETRIS DALAM PEMAHAMAN PERSAMAAN KUADRAT Widyastuti, Eri; Wardahlia, Firli; Sinaga, Irene Yoseva; Khazanah, Khazanah; br Jawak, Lady Christine Elizabeth; Sirait, Nazla Annisa Gunawan; Tampubolon, Polin Jeremia
MES: Journal of Mathematics Education and Science Vol 10, No 1 (2024): Edisi Oktober
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v10i1.10203

Abstract

This study explores the integration of the history of mathematics and geometric approaches in enhancing students' understanding of quadratic equations. The research indicates that students who engage in this learning process can establish connections between geometric manipulations and algebraic symbols used in quadratic equations. By converting geometric forms into algebraic expressions and vice versa, students gain a deeper understanding of concepts such as factorization and perfect square solutions. The integration of historical mathematics and geometric approaches proves to be effective in improving students' conceptual understanding and overcoming learning barriers. Visualizations, particularly through methods Geometry, allow students to build a more intuitive understanding of quadratic equations, thereby increasing their interest and motivation in learning
PENERAPAN MODEL PEMBELAJARAN KOOPERATIF TIPE STAD BERBANTUAN GEOGEBRA UNTUK MENINGKATKAN KEMAMPUAN PEMAHAMAN KONSEP MATEMATIS SISWA SMP IT AL-HIJRAH Khazanah, Khazanah; Lubis, Asrin
MES: Journal of Mathematics Education and Science Vol 11, No 2 (2026): Edisi April
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v11i2.12058

Abstract

This study aims to determine: efforts that can be made to improve students' mathematical concept comprehension abilities and the extent of improvement in students' mathematical concept comprehension abilities through the application of the STAD cooperative learning model assisted by GeoGebra. This study is a classroom action research conducted in two cycles. The research subjects were 28 students in class VIII-D of SMP IT Al-Hijrah in the 2024/2025 academic year, where the researcher acted as the teacher during the learning process. The research instruments included tests, observations, and interviews. The results showed that the application of the STAD cooperative learning model assisted by GeoGebra could improve students' mathematical concept comprehension skills through the provision of contextual examples, guided discussions with prompts and questions, additional exercises, facilitation of the use of GeoGebra to visualise concepts, systematic guidance on the steps to solve problems, reinforcement and motivation, and rewards for active groups. Based on the test results, there was an increase in conceptual understanding ability from the pre-cycle, where only 11 students (39%) achieved mastery with an average score of 51.79, to 17 students (61%) in cycle I with an average score of 68.45 and an N -Gain of 0.20 (low category), and in cycle II, it increased to 24 students (86%) with an average score of 85.71 and an N-Gain of 0.59 (medium category). Thus, the application of the STAD cooperative learning model assisted by GeoGebra proved to have a significant positive impact on the mathematical concept comprehension abilities of Grade VIII students at SMP IT Al-Hijrah.
Co-Authors Asrin Lubis br Jawak, Lady Christine Elizabeth Eri Widyastuti Sinaga, Irene Yoseva Sirait, Nazla Annisa Gunawan Tampubolon, Polin Jeremia Wardahlia, Firli