Abstract :
Kemampuan penalaran matematis merupakan kemampuan untuk
menganalisis situasi matematika dan membangun argumen logis. Kemampuan ini
penting untuk dimiliki dan dapat dikembangkan melalui pembelajaran
matematika. Pembelajaran yang tepat mampu memberikan pengaruh terhadap
kemampuan penalaran matematis siswa. Salah satu model pembelajaran yang
dapat digunakan adalah model pembelajaran Reflektif Berbantuan LKS
Terstruktur. Penelitian ini bertujuan untuk mengetahui apakah terdapat pengaruh
model pembelajaran reflektif berbantuan LKS terstruktur terhadap kemampuan
penalaran matematis siswa SMA Diponegoro 1 Jakarta. Metode penelitian yang
digunakan adalah eksperimen semu dengan desain penelitian Posttest Only
Control Group Design. Penelitian ini dilakukan pada siswa kelas XI semester
ganjil tahun ajaran 2018/2019 dengan materi Program Linear di SMA Diponegoro
1 Jakarta. Populasi target penelitian ini adalah semua siswa SMA Diponegoro 1
Jakarta, sedangkan populasi terjangkau dari penelitian ini adalah siswa kelas XI
SMA Diponegoro 1 Jakarta. Sampel diperoleh dengan teknik purposive sampling
dan cluster random sampling. Setelah melakukan beberapa tes sebelum perlakuan
dinyatakan bahwa empat kelas XI IPS terdistribusi normal, homogen, dan
memiliki kesamaan rata-rata. Melalui teknik sampel ini, kelas XI IPS 4 dipilih
sebagai kelas eksperimen dan XI IPS 3 sebagai kelas kontrol. Instrumen penelitian
yang digunakan adalah tes kemampuan penalaran matematis yang terdiri dari 3
soal uraian. Berdasarkan data penelitian, kelas eksperimen dan kelas kontrol
berasal dari populasi yang berdistribusi normal dan homogen. Pengujian hipotesis
menggunakan uji-t dengan tingkat signifikansi 0,05. Berdasarkan hasil
perhitungan diperoleh nilai = 4,0496 dan = 1,697 dengan
> sehingga ditolak, berarti rata-rata hasil tes kemampuan
penalaran matematis siswa kelas eksperimen lebih tinggi daripada kelas kontrol.
Dengan demikian, dapat disimpulkan bahwa model pembelajaran reflektif
berbantuan LKS terstruktur memengaruhi kemampuan penalaran matematis siswa
SMA Diponegoro 1 Jakarta. Efeknya 86% berdasarkan perhitungan dengan
ukuran efek Cohen?s.
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Mathematical reasoning ability is the ability to analyse mathematical
situations and construct logical argument. This ability is important to have and
can be developed through learning mathematics. Proper learning is able to give
effect to students' mathematical reasoning abilities. One of the learning models
that can be used to develop mathematical reasoning abilities is the reflective
learning model that assists structured student?s worksheet. This study aims to
determine whether there is an influence of the reflective learning model that
assists structured student?s worksheet on student?s mathematical reasoning
abilities in SMA Diponegoro 1 Jakarta. The research method used is quasiexperimental
by using the Posttest Only Control Group Design. The study was
conducted in class XI student at odd semester of the 2018/2019 school year event
with the subject of Linear Program in SMA Diponegoro 1 Jakarta. The target
population of this study is all students of SMA Diponegoro 1 Jakarta, while the
accessible population of this study are students of class XI SMA Diponegoro 1
Jakarta. Samples were obtained by purposive sampling and cluster random
sampling technique. After conducting several tests before treatment it was stated
that the four classes of XI IPS were normally distributed, homogeneous, and had
similarities in average. Through this sample technique, class XI IPS 4 was chosen
as the experimental class and XI IPS 3 as the control class. The research
instrument used was in the form of a mathematical reasoning ability test
consisting by 3 essay questions. Based on research data, the experimental class
and the control class come from populations that are normally distributed and
homogeneous. Hypothesis testing uses the t-test with a significance level of 0.05.
Based on the results of the calculation of the hypothesis obtained the value of
= 4,0496 and = 1,697 with > so that the H0 is
rejected, it means that the average students' mathematical reasoning ability test of
the experimental class is higher than the control class. Thus, it can be concluded
that the reflective learning model that assists structured student?s worksheet
affects the abilities of students' mathematical reasoning abilities in SMA
Diponegoro 1 Jakarta. The effect is 86% based on calculations with Cohen's
effect size.