Peserta didik matrikulasi di STKIP Surya Tangerang mengalami kesulitan dalam mempelajari transformasi geometri. Masalah pemahaman konsep transformasi geometri yang dialami peserta didik STKIP Surya perlu diatasi karena sebagai calon guru, peserta didik di STKIP Surya dituntut untuk memahami konsep matematika dengan baik agar kelak dapat mengajarkan materi dengan baik pula. Penelitian ini bertujuan untuk mengembangkan teori instruksional lokal guna membangun pemahaman konsep peserta didik pada materi transformasi geometri dengan menggunakan pendekatan PMRI berbantuan GeoGebra. Penelitian ini terdiri dari 8 pertemuan dengan subjek penelitian 6 peserta didik yang memiliki kemampuan awal berbeda berdasarkan materi prasyarat. Metodologi yang diterapkan adalah design research yang meliputi tahap preparation and design, teaching experiment, dan retrospektif analysis. Teknik pengumpulan data yang digunakan, yaitu pensil dan kertas, wawancara, serta perekaman video. Instrumen penelitian dalam pengumpulan data adalah hipotesis lintasan belajar, lembar aktivitas, lembar kerja, lembar observasi, lembar wawancara dan tes kemampuan pemahaman konsep. Hasil analisis retrospektif menunjukkan bahwa penerapan PMRI berbantuan GeoGebra dengan menggunakan konteks peraturan baris-berbaris dapat menumbuhkan dan meningkatkan pemahaman konsep transformasi geometri peserta didik.
This research is motivated by students' mathematical problem-solving abilities. One way to improve students' mathematical problem-solving abilities is with the CTL learning approach. The purpose of this research is: 1) to know whether the average ability of mathematical problem solving of students who get learning with CTL approach is higher than the average problem-solving abilities of mathematical students who obtain conventional learning; 2) to find out whether the average mathematical problem-solving ability of the students who acquired the learning with Contextual Teaching and Learning (CTL) approach is higher than the minimum criterion value (KKM). This research type is quasi-experiment. The research design used is Nonequivalent Control Group Design. This research was conducted at SMP Negeri 1 Simpang Renggiang, East Belitung Regency in the academic year 2015/2016. Sampling was done by cluster random sampling. The sample in this research is class VII. 2 as the experimental class and class VII.3 as the control class. The research instrument used is a valid test instrument in the form of a matter of pretest and posttest in the form of a description. Data were analyzed using a non-parametric statistic test. The results of the research have shown that the average problem-solving ability of students who acquire mathematics learning with CTL approach is better than students who follow the conventional mathematics learning, the average problem-solving ability of mathematical students who gain learning with CTL approach less than or equal with KKM. Keywords: Mathematical problem solving, CTL approach, quasi-experiment, cluster random sampling
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