摘要：Tujuan penelitian ini adalah untuk mengetahui apakah implementasi model pembelajaran CIRC berbasis Joyfull Learning efektif terhadap kemampuan penalaran matematis siswa pada materi Teorema Pythagoras. Populasi dalam penelitian ini adalah siswa kelas VIII SMP N 1 Tlogowungu. Dengan menggunakan teknik purposive sampling diperoleh sampel yaitu siswa kelas VIII A sebagai kelas eksperimen dan VIII B sebagai kelas kontrol. Pengumpulan data dilakukan dengan metode dokumentasi,tes,dan observasi. Analisis data menggunakan uji proporsi dan uji perbedaan dua rata-rata. Berdasarkan hasil penelitian menunjukkan bahwa siswa pada kelas eksperimen telah mencapai ketuntasan klasikal. Hasil uji perbedaan dua rata-rata menunjukkan bahwa rata-rata hasil tes kemampuan penalaran matematis siswa kelas eksperimen lebih dari rata-rata hasil tes kemampuan penalaran matematis siswa kelas kontrol. Berdasarkan hasil tersebut dapat diketahui bahwa rata-rata kemampuan penalaran matematis siswa kelas eksperimen lebih baik daripada rata-rata kemampuan penalaran matematis siswa kelas kontrol. Berdasarkan hasil observasi menunjukkan bahwa persentase keaktifan siswa dalam pelaksanaan pembelajaran CIRC berbasis Joyfull Learning lebih tinggi daripada persentase keaktifan siswa pada pembelajaran ekspositori,dan aktivitas guru dalam mengelola pembelajaran CIRC berbasis Joyfull Learning mencapai kriteria sangat baik. Simpulan yang diperoleh adalah implementasi model pembelajaran CIRC berbasis Joyfull Learning efektif terhadap kemampuan penalaran matematis siswa pada materi Teorema Pythagoras.
其他摘要：The purpose of this study was to determine whether the implementation of the CIRC based Joyfull Learning models effective against student’s mathematical reasoning skills on the material Pythagorean Theorem. The population in this study is the eighth grade students of Junior High School of 1 Tlogowungu. By using purposive sampling technique obtained a sample of VIII A class as an experimental and VIII B as a control class. Data collection was performed by the method of documentation,testing,and observation. Analysis of the test data using the difference of two proportions and test average. Based on the results of the study showed that students in the experimental class has reached the classical completeness. The test results mean the difference of two shows that the average test results of mathematical reasoning skills experimental class students more than the average test results of student’s mathematical reasoning skills control class. Based on these results it can be seen that the average of student’s mathematical reasoning skills experimental class was better than average grade student’s mathematical reasoning skills of control. Based on observations indicate that the percentage of active students in the implementation of CIRC based Joyfull Learning models is higher than the percentage of active students in expository teaching and learning activities of teachers in managing the CIRC based Joyfull Learning models achieving the criteria very well. The conclusions obtained are implementation of CIRC _ased Joyfull Learning models effectively on student’s mathematical reasoning skills on "he material Pythagorean Theorem.
