Rahmah Johar
Department of Mathematics Education, Universitas Syiah Kuala

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Pengembangan lintasan belajar limas untuk mengembangkan kemampuan spasial siswa melalui pendidikan matematika realistik berbantuan GeoGebra Ulfa Meirida; Rahmah Johar; Anizar Ahmad
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.36157

Abstract

Penelitian ini bertujuan untuk menghasilkan lintasan belajar pada materi limas untuk menumbuhkan kemampuan spasial siswa melalui pendidikan matematika realistik. Penelitian ini merupakan design research yang memuat tiga tahap, yaitu preparing for the experiment, the teaching experiment, dan retrospective analysis. Subjek penelitian adalah siswa kelas VIII di salah satu SMP di Aceh Besar, Indonesia. Uji coba terhadap Hypothetical Learning Trajectory (HLT) siklus 1 dilakukan secara offline dengan melibatkan tiga siswa, sementara uji coba Hypothetical Learning Trajectory (HLT) siklus 2 dilakukan secara online dengan melibatkan 10 siswa. Instrumen pengumpulan data berupa lembar aktivitas siswa, lembar observasi, pedoman wawancara, catatan lapangan, dan rekaman video pembelajaran. Penelitian ini menghasilkan lintasan belajar limas yang diperoleh dari merevisi HLT dengan cara memperbanyak tampilan contoh-contoh limas dalam kehidupan sehari-hari, menggambar lebih banyak jaring-jaring limas, mengurutkan pola dalam menemukan rumus jumlah diagonal bidang, dan menayangkan animasi 3D melalui GeoGebra. Lintasan belajar limas dimulai dari melukis limas, menggambar jaring-jaring limas, menemukan rumus berkaitan dengan hubungan antar unsur-unsur limas, menemukan rumus luas permukaan limas, dan menemukan rumus volume limas. Lintasan belajar yang dikembangkan secara teoritis dapat menumbuhkan kemampuan spasial siswa melalui pendidikan matematika realistik pada materi limas. Development of pyramid learning trajectory to promote students' spatial ability through realistic mathematics education assisted by GeoGebraAbstractThis study aimed to produce a learning trajectory in pyramid material to foster students' spatial ability through realistic mathematics education. This is design research which consists of three stages, namely experimental preparation, teaching experiment, and retrospective analysis. The research subjects were students of class VIII in a junior high school in Aceh Besar, Indonesia. The trial of Hypothetical Learning Trajectory (HLT) for cycle 1 that was performed offline involved three students and the trial of Hypothetical Learning Trajectory (HLT) for cycle 2 that was performed online involved 10 students. The instruments for data collection were student activity sheet (worksheet), observation sheet, interview protocol, field note, and learning video recording. The research produced a pyramid learning trajectory obtained from revising HLT by presenting more pyramid models in everyday life, drawing more pyramid nets, recognizing patterns in determining the number of face diagonal, and displaying 3D animations through GeoGebra. The pyramid learning trajectory started from drawing a pyramid, drawing the net of a pyramid, finding formulas related to the relationship between pyramid elements, finding the formula for the surface area of a pyramid, and finding the formula for the volume of a pyramid. The developed learning trajectory, theoretically, could foster students’ spatial ability through realistic mathematics education on the learning material about pyramid.
The analysis of students’ mathematical representation errors in solving word problem related to graph Rahmah Johar; Khairiyah Rahma Lubis
Jurnal Riset Pendidikan Matematika Vol 5, No 1: May 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (734.462 KB) | DOI: 10.21831/jrpm.v5i1.17277

Abstract

The skills of reading, interpreting and constructing graphs are important for students. These skills are related to mathematical representation. The purpose of this study is to analyze Grade 8 students’ representation errors in solving word problems related to graphs in one of junior high schools in Banda Aceh, Indonesia. The data were obtained based on a mathematics test administered to 36 students and a short interview conducted for five selected students. The test consisted of eight problems adapted from four contexts of PISA problems related to graph. Students’ representation errors were classified based on the errors of changing one representation to another representation, such as visual to verbal, visual to symbolic, visual to visual and verbal to visual. The results reveal that representation errors are not solely influenced by the types of representation. It is indicated by the questions with similar representation resulted in a different percentage of students committing representation errors. In general, the students’ representation errors are due to the fact that students not being familiar with the problems requiring representation; students not being used to solve PISA context problems and word problems; as well as the teachers’ time constraint in teaching non-routine problems.