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All Journal Al Ishlah Jurnal Pendidikan Pendas : Jurnah Ilmiah Pendidikan Dasar
Abd. Kadir Jaelani
Universitas Muhammadiyah Makassar
Education Languange, Linguistic, Communication & Media Mathematics Other

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Unveiling Mathematical Elegance: Exploring The Synergy Between Algebra and Geometry Muhammad Aswal Anshari; Mukhlis Mukhlis; Abd. Kadir Jaelani
AL-ISHLAH: Jurnal Pendidikan Vol 17, No 3 (2025): SEPTEMBER 2025
Publisher : STAI Hubbulwathan Duri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35445/alishlah.v17i3.6279

Abstract

In today’s dynamic and complex society, the ability to represent mathematical concepts and solve real-world problems is essential for mathematics education students. This study explores how algebraic and geometric representations can be synergized to solve environmental problems commonly faced in everyday life, particularly through the “builder’s problem” involving quadrilaterals. Using a qualitative, exploratory case study approach, one student with high mathematical ability was selected through a 10-item Mathematical Ability Test (TKM). Data collection included a problem-solving task and semi-structured interviews to examine the student’s reasoning processes. Data were analyzed using Miles and Huberman’s model: data condensation, data display, and conclusion drawing. Triangulation of test results, written work, and interview data ensured the validity of findings. Results indicate that the student was able to construct a mathematical model of the problem algebraically and then reinterpret it geometrically, revealing an equivalent but more conceptually elegant solution. Specifically, solving for the yard boundary of a rectangular plot algebraically led to the same value as determining the radius of an incircle within a right triangle geometrically. However, while the algebraic representation was more precise, the geometric approach offered deeper visual insight into the structure of the problem. This study highlights the importance of dual representations in enhancing mathematical understanding and problem-solving. It suggests the integration of real-world contexts and multiple solution strategies in teacher education programs, and recommends further research with diverse participants to deepen insights into algebra-geometry interactions in problem solving.
PENGARUH GAME INTERAKTIF WORDWALL TERHADAP HASIL BELAJAR MATEMATIKA SISWA KELAS V SEKOLAH DASAR Fitriani; Muhammad Muzaini; Abd. Kadir Jaelani
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 11 No. 02 (2026): Volume 11 No. 2, Juni 2026 Release
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v11i02.48079

Abstract

This study aims to determine the effect of the use of interactive game learning media Wordwall on the mathematics learning outcomes of fifth-grade students of UPT SDN No. 78 Balang, Takalar Regency. The type of research used is quantitative research with a pre-experimental method using the One Group Pretest-Posttest Design. The population in this study were all fifth-grade students of UPT SDN No. 78 Balang, totaling 37 students, and the entire population was used as a research sample. Data collection techniques were carried out through learning outcome tests (pre-test and post-test) and observation. Data analysis used was descriptive statistical analysis and inferential statistical analysis with paired sample t-test. The results showed that the average pre-test score of students was 60.68 while the average post-test increased to 75.54 after the application of animated video learning media. This increase indicates a change in student learning outcomes after being given treatment in the learning process. The t-test results produced tcount = -19.496 with degrees of freedom (df) = 36 and a significance value (Sig. 2-tailed) = 0.001 < 0.118. This indicates that there is a significant difference between the pre-test and post-test results. Thus, it can be concluded that the use of interactive game learning media Wordwall has a positive and significant effect on improving the Mathematics learning outcomes of fifth-grade students of UPT SDN No. 78 Balang, South Galesong District, Takalar Regency.
Co-Authors Fitriani Muhammad Aswal Anshari Muhammad Muzaini Mukhlis Mukhlis