Kemajuan Belajar Siswa Pada Geometri Transformasi Menggunakan Aktivitas Refleksi Geometri

Abstract

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan kemajuan belajar siswa pada materi geometri transformasi yang didukung dengan serangkaian aktivitas belajar berdasarkan Pendidikan Matematika Realistik Indonesia. Penelitian didesain melalui tiga tahap, yaitu tahapan perancangan desain awal, pengujian desain melalui pembelajaran awal dan pembelajaran eksperimental, dan tahap analisis retrospektif. Dalam penelitian ini, Hypothetical Learning Trajectory, HLT (HLT) berperan penting sebagai desain pembelajaran sekaligus instrumen penelitian. HLT diujikan terhadap 26 siswa kelas VII. Data dikumpulkan dengan teknik wawancara, pengamatan, dan catatan lapangan. Hasil penelitian menunjukkan bahwa desain pembelajaran ini mampu menstimulasi siswa untuk memberikan karakteristik refleksi dan transformasi geometri lainnya secara informal, mengklasifikasikannya dalam transformasi isometri pada level kedua, dan menemukan garis bantuan refleksi pada level yang lebih formal. Selain itu, garis bantuan refleksi digunakan oleh siswa untuk menggambar bayangan refleksi dan pola pencerminan serta memahami bentuk rotasi dan translasi sebagai kombinasi refleksi adalah level tertinggi. Keyword: transformasi geometri, kombinasi refleksi, rotasi, translasi, design research, HLT STUDENTS' LEARNING PROGRESS ON TRANSFORMATION GEOMETRY USING THE GEOMETRY REFLECTION ACTIVITIESAbstract: This study was aimed at describing the students' learning progress on transformation geometry supported by a set of learning activities based on Indonesian Realistic Mathematics Education. The study was designed into three stages, that is, the preliminary design stage, the design testing through initial instruction and experiment, and the restrospective analysis stage. In this study, Hypothetical Learning Trajectory (HLT) played an important role as an instructional design and a research instrument. HLT was tested to 26 seventh grade students. The data were collected through interviews, observations, and field notes. The findings of the study showed that this instructional design could stimulate students to provide reflection characteristics and other transformation geometry informally, to classify them in the transformation isometry in the second level, and to find the reflection supporting line in the more formal level. In addition, the reflection supporting line was used by the students to draw the reflection image and the mirroring pattern and to understand the rotation and translation shapes as a combination of reflection at the highest level. Keyword: geometric transformation, rotation, translation, and HLT PENDAHULUANPengetahuan mengenai transformasi geometri sangat berguna bagi siswa untuk membangun kemampuan spasial, kemampuan penalaran geometri, dan memperkuat pembuktian matematika (Edward, 1997:187). Kemampuankemampuan itu (Patterson, 1973:90) dapat membuat siswa mengeksplorasi konsep matematika abstrak tentang konsep kongruen, simetri, kesebangunan, dan garis paralel; memperkaya pengalaman, pemikiran dan imaginasi geometri siswa; serta meningkatk...

Contribution of Learning Independence on the Achievement of Mathematical Learning Outcomes of Geometry Transformation Materials School Students

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“…One of the mathematical material that has an important role in the development of student mathematics is the material of geometry transformation. as the opinion of Edwards (Albab, Hartono, & Darmawijoyo, 2014) which revealed that learning geometry transformation provides opportunities for the development of spatial visualization abilities and geometrical reasoning so that mathematical proofing abilities are obtained by students. Geometry transformation material is taught to the ninth grade students of junior high school (SMP), which is the uppermost grade level at the junior high school level.…”

Investigating student difficulties on integral calculus based on critical thinking aspects

“…In addition, materials and learning methods can also be designed in such a way that the learning to make learners can think critically and reasoning. Some RME study design studies such as transformation geometry learning design (Albab, Hartono, & Darmawijoyo, 2014). Moreover Collaborative learning methods by comparing other students' answers have also been exemplified to begin this improvement (Albab, Saputro, & Nursyahidah, 2017).…”

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“…Transformasi merupakan pengetahuan yang penting dalam geometri untuk membangun kemampuan spasial, kemampuan penalaran geometri, dan memperkuat pembuktian matematika (Edward dalam Albab et al, 2014). Beberapa kemampuan tersebut terbukti dapat menunjang pencapaian pada matematika, terutama penalaran terkait geometri transformasi.…”