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All Journal Edumatsains Mathema: Jurnal Pendidikan Matematika
Ulfah Zulaikha
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Agriculture, Biological Sciences & Forestry Chemistry Education Mathematics Physics

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Hypothetical Learning Trajectory Based on Realistic Mathematics Education in SPLDV Material: Implementation to Accommodate Differences in Junior High School Students' Initial Abilities Miftahul Atiqoh; M Farhan Ainun Ihsani; Ulfah Zulaikha; Nining Setyaningsih
MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 8 No. 1 (2026): MATHEMA
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/jm.v8i1.1278

Abstract

This study stems from the challenge of understanding the concept of SPLDV, which is generally still procedural and lacks meaning, as well as the diversity of students' initial abilities that influence their thinking processes and problem-solving strategies. The research method used was qualitative descriptive within the framework of Didactical Design Research (DDR) at SMP Muhammadiyah 5 Surakarta with three ninth-grade students representing high, medium, and low initial abilities as subjects. Data were collected through SPLDV concept comprehension tests and in-depth interviews. The results showed that the application of RME-based HLT helped students understand concepts gradually, starting from real contexts, situational models, mathematical models, to formal representations. Students with high initial abilities were able to fulfill all of Polya's problem-solving indicators, including the evaluation stage. Students with medium initial abilities were able to understand the problem and develop a plan but were not consistent in evaluating the results. Meanwhile, students with low initial abilities were only able to identify basic information without being able to model or implement a solution strategy. Overall, RME-based HLT proved to be effective in facilitating differences in students' initial abilities and improving their understanding of SPLDV concepts through a structured and contextual learning path.
Development of Google Classroom Learning Management System-Based Mathematics Learning on Relations and Functions in Junior High School Miftahul Atiqoh; M Farhan Ainun Ihsani; Ulfah Zulaikha; Budi Murtiyasa
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 10 No 3 (2026): January
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v10i3.7720

Abstract

This study develops a Google Classroom–based learning management system (LMS) for Relations and Functions in junior high school and examines its feasibility. The study used an R&D approach with the ADDIE model involving eighth-grade students and a mathematics teacher at SMP Muhammadiyah 5 Surakarta. Data were collected through observation, interviews, expert validation, and user-response questionnaires, and analyzed quantitatively and qualitatively. The results show high validity (material expert 93%; media expert 87%) and high feasibility (students 91%; teacher 97%). The novelty lies in a complete and structured LMS learning flow for Relations and Functions, integrating mapped topics, tiered activities, quizzes, discussions, and assignments supported by tools such as Quizizz, YouTube, GeoGebra, and Google Forms. Pedagogically, the LMS supports systematic concept learning, student engagement, and formative feedback in one coherent environment.
Co-Authors Budi Murtiyasa M Farhan Ainun Ihsani M Farhan Ainun Ihsani Miftahul Atiqoh Miftahul Atiqoh Nining Setyaningsih