1. DAFTAR ISI
ABSTRAK ........................................................................................................... i
KATA PENGANTAR ........................................................................................ ii
UCAPAN TERIMA KASIH ............................................................................ iv
DAFTAR ISI ...................................................................................................... vi
DAFTAR TABEL ............................................................................................. ix
DAFTAR DIAGRAM ....................................................................................... xi
DAFTAR GAMBAR ........................................................................................ xii
DAFTAR LAMPIRAN ................................................................................... xiii
BAB I PENDAHULUAN .............................................................................. 1
A. Latar Belakang Masalah .............................................................. 1
B. Rumusan Masalah ......................................................................... 7
C. Batasan Masalah ........................................................................... 8
D. TujuanPenelitian........................................................................... 9
E. Manfaat Penelitian........................................................................ 9
F. Hipotesis Penelitian..................................................................... 10
G. Definisi Operasional ................................................................... 11
BAB II KAJIAN PUSTAKA ......................................................................... 12
A. Penalaran ...................................................................................... 12
B. Penalaran Induktif Generalisasi ................................................. 13
C. Connected Mathematics ............................................................... 16
D. Tugas Matematika (Mathematics Task) .................................... 19
E. Model Connected Mathematics Task (CMT) ............................. 21
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2. BAB III METODE PENELITIAN ................................................................ 24
A. Metode Penelitian ........................................................................ 24
B. Desain Penelitian .......................................................................... 24
C. Variabel Penelitian ...................................................................... 25
D. Populasi dan Sampel Penelitian .................................................. 25
E. Instrumen Penelitian .................................................................... 26
1. Tes Kemampuan Penalaran Induktif Generalisasi .............. 26
a. Validitas ............................................................................. 28
b. Reliabilitas ......................................................................... 30
c. Daya Pembeda .................................................................. 31
d. Indeks Kesukaran ............................................................. 32
2. Angket Skala Sikap ................................................................. 33
3. Jurnal Harian . ......................................................................... 36
4. Lembar Observasi ................................................................... 36
5. Wawancara .............................................................................. 36
F. Prosedur Pelaksanaan Penelitian................................................ 37
G. Prosedur Pengolahan Data ......................................................... 39
BAB IV HASIL PENELITIAN DAN PEMBAHASAN................................ 42
A. Hasil Penelitian............................................................................. 42
B. Deskripsi Data Kemampuan Penalaran
1. Induktif Generalisasi ............................................................... 42
a. Skor Pretest........................................................................... 43
b. Skor Posttest ......................................................................... 44
c. Indeks Gain ........................................................................... 45
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3. 2. Analisis Data Pretest Kemampuan Penalaran
Induktif Generalisasi ............................................................... 46
3. Analisis Data Posttest Kemampuan Penalaran
Induktif Generalisasi ................................................................ 49
4. Analisis Data Indeks Gain Kemampuan Penalaran
Induktif Generalisasi ............................................................... 52
5. Tingkat Kemampuan Penalaran Induktif Generalisasi
berdasarkan Indikator ............................................................ 56
6. Hasil Analisis Skala Sikap ....................................................... 58
7. Hasil Observasi Pelaksanaan Pembelajaran
Model Connected Mathematics Task (CMT) .......................... 64
8. Hasil Wawancara ..................................................................... 66
B. Pembahasan .................................................................................... 68
1. Proses Pembelajaran ................................................................. 68
2. Kemampuan Penalaran Induktif Generalisasi Siswa ........... 68
3. Sikap Siswa terhadap Pembelajaran dengan
Model Connected Mathematics Task (CMT) ........................... 85
BAB V KESIMPULAN DAN SARAN ........................................................... 87
A. Kesimpulan ..................................................................................... 87
B. Saran ................................................................................................ 88
DAFTAR PUSTAKA ....................................................................................... 89
LAMPIRAN-LAMPIRAN .............................................................................. 93
DAFTAR RIWAYAT HIDUP .............................................................................
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4. DAFTAR TABEL
Tabel 3.1 Pedoman Penskoran Tes Kemampuan Penalaran
Induktif Generalisasi .......................................................................... 28
Tabel 3.2 Interpretasi Validitas Nilai ......................................................... 29
Tabel 3.3 Validitas Tiap Butir Soal ......................................................................... 29
Tabel 3.4 Interpretasi Reliabilitas .............................................................. 30
Tabel 3.5 Interpretasi Daya Pembeda .............................................................. 31
Tabel 3.6 Perhitungan Daya Pembeda Butir Soal............................................ 32
Tabel 3.7 Klasifikasi Indeks Kesukaran ........................................................... 32
Tabel 3.8 Perhitungan Indeks Kesukaran Butir Soal ...................................... 33
Tabel 3.9 Bobot Skor Sikap Siswa ..................................................................... 34
Tabel 3.10 Kriteria Persentase Skala Sikap ....................................................... 35
Tabel 3.11 Kriteria Indeks Gain............................................................................ 40
Tabel 4.1 Data Deskriptif Kemampuan Penalaran Induktif Generalisasi
Kelas Eksperimen dan Kelas Kontrol .............................................. 42
Tabel 4.2 Interpretasi Indeks Gain ..................................................................... 45
Tabel 4.3 Data Hasil Uji Normalitas Pretest ...................................................... 47
Tabel 4.4 Uji Mann-Whitney Data Pretest .......................................................... 48
Tabel 4.5 Uji Normalitas Skor Posttest............................................................... 49
Tabel 4.6 Uji Mann-Whitney Data Posttest......................................................... 51
Tabel 4.7 Uji Normalitas Data Indeks Gain ........................................................ 52
Tabel 4.8 Uji Homogenitas Data Indeks Gain..................................................... 53
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5. Tabel 4.9 Uji t’ Data Indeks Gain ........................................................................ 54
Tabel 4.10 Kemampuan Penalaran Induktif Generalisasi
berdasarkan Indikatornya .................................................................. 56
Tabel 4.11 Sikap Siswa terhadap Matematika ................................................. 59
Tabel 4.12 Sikap Siswa terhadap Pembelajaran Matematika dengan
Menggunakan Model Connected Mathematics Task ....................... 61
Tabel 4.13 Hasil Analisis Sikap Siswa terhadap Pembelajaran Matematika
dengan Model Connected Mathematics Task ................................... 62
Tabel 4.14 Sikap Siswa terhadap Connected Mathematics Task untuk
Meningkatkan Kemampuan Penalaran Induktif Generalisasi ..... 63
Tabel 4.15 Data Observasi Aktivitas Guru ......................................................... 64
Tabel 4.16 Data Observasi Aktivitas Siswa ....................................................... 65
Tabel C.1 Data Hasil Uji Coba Instrumen ....................................................... 152
Tabel C.2 Data Hasil Uji Validitas Soal Tes Kemampuan Penalaran
Induktif Generalisasi ......................................................................... 153
Tabel D.1 Data Skor Pretest, Posttest, dan Indeks Gain Kelas Eksperimen... 155
Tabel D.2 Data Skor Pretest, Posttest, dan Indeks Gain Kelas Kontrol .......... 156
Tabel D.3 Data Hasil Pretest dan Posttest Indikator Perception of Generality. 157
Tabel D.4 Data Hasil Pretest dan Posttest Indikator
Expression of Generality...................................................................... 158
Tabel D.5 Data Hasil Pretest dan Posttest Indikator
Symbolic Expression of Generality ..................................................... 159
Tabel D.6 Data Hasil Pretest dan Posttest Indikator
Manipulation of Generality ................................................................. 160
Tabel D.7 Data Hasil Angket Skala Sikap Siswa ………………………….…...161
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6. DAFTAR DIAGRAM
Diagram 4.1 Skor Pretest Kelas Kontrol ........................................................43
Diagram 4.2 Skor Pretest Kelas Eksperimen ..................................................43
Diagram 4.3 Skor Posttest Kelas Kontrol ........................................................44
Diagram 4.4 Skor Posttest Kelas Eksperimen.................................................44
Diagram 4.5 Skor Indeks Gain Kelas Kontrol ................................................45
Diagram 4.6 Skor Indeks Gain Kelas Eksperimen .........................................46
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7. DAFTAR GAMBAR
Gambar 4.1 Contoh Jawaban Kelompok Siswa yang Menemukan
Pola ke-n Kurang Tepat ................................................................... 70
Gambar 4.2 Contoh Jawaban Kelompok Siswa yang Menemukan
Pola ke-n dengan Tepat .................................................................... 71
Gambar 4.3 Contoh Jawaban Siswa Soal 1.a) dan 1.b) Kurang Tepat ............. 73
Gambar 4.4 Contoh Jawaban Siswa Soal 1.a) dan 1.b) dengan Tepat .............. 74
Gambar 4.5 Contoh Jawaban Siswa Soal 1.c) Kurang Tepat ............................ 75
Gambar 4.6 Contoh Jawaban Siswa Soal 1.c) dengan Tepat ............................. 75
Gambar 4.7 Contoh Jawaban Siswa Soal 2.a) dan 2.b) Kurang Tepat ............. 77
Gambar 4.8 Contoh Jawaban Siswa Soal 2.a) dan 2.b) dengan Tepat .............. 77
Gambar 4.9 Contoh Jawaban Siswa Soal 2.c) Kurang Tepat ............................ 78
Gambar 4.10 Contoh Jawaban Siswa Soal 2.c) dengan Tepat ............................. 79
Gambar 4.11 Contoh Jawaban Siswa Soal 3.a) dan 3.b) Kurang Tepat ............. 81
Gambar 4.12 Contoh Jawaban Siswa Soal 3.a) dan 3.b) yang Hampir Tepat ... 82
Gambar 4.13 Contoh Jawaban Siswa Soal 3.c) Kurang Tepat ............................ 83
Gambar 4.14 Contoh Jawaban Siswa Soal 3.c) hampir Tepat ............................. 83
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8. DAFTAR LAMPIRAN
Lampiran A Perangkat Pembelajaran
Lampiran A.1 Silabus ................................................................................................ 93
Lampiran A.2 Rencana Pelaksanaan Pembelajaran Kelas Kontrol ..................... 97
Lampiran A.3 Rencana Pelaksanaan Pembelajaran Kelas Eksperimen ............ 109
Lampiran A.4 Lembar Kerja Siswa dan Lembar Tugas Siswa .......................... 125
Lampiran B Instrumen Penelitian
Lampiran B.1 Kisi-kisi soal Tes Kemampuan Penalaran
Induktif Generalisasi ...................................................................... 138
Lampiran B.2 Soal Tes Bangu Ruang Sisi Datar.................................................. 141
Lampiran B.3 Jurnal Harian Siswa ....................................................................... 143
Lampiran B.4 Kisi-Kisi Skala Sikap Siswa ........................................................... 144
Lampiran B.5 Skala Sikap ...................................................................................... 145
Lampiran B.6 Lembar Observasi .......................................................................... 147
Lampiran B.7 Lembar Wawancara ....................................................................... 149
Lampiran C Uji Coba Instrumen
Lampiran C.1 Instrumen Tes Kemampuan Penalaran Induktif Generalisasi .. 150
Lampiran C.2 Hasil Uji Coba Instrumen .............................................................. 152
Lampiran C.3 Hasil Uji Validitas ........................................................................... 153
Lampiran C.4 Hasil Uji Daya Pembeda dan Tingkat Kesukaran....................... 154
Lampiran D Hasil Pengumpulan Data
Lampiran D.1 Data Skor Pretest, Posttest, dan Indeks Gain Kelas
Eksperimen ...................................................................................... 155
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9. Lampiran D.2 Data Skor Pretest, Posttest, dan Indeks Gain Kelas Kontrol ....... 156
Lampiran D.3 Data Hasil Pretest dan Posttest Perindikator ................................ 157
Lampiran D.7 Data Hasil Skala Sikap ................................................................... 161
Lampiran E Pengolahan Data
Lampiran E.1 Hasil Pengolahan Data Pretest ....................................................... 163
Lampiran E.2 Hasil Pengolahan Data Posttest...................................................... 165
Lampiran E.3 Hasil Pengolahan Data Indeks Gain .............................................. 167
Lampiran E.4 Hasil Pengolahan Skala Sikap ....................................................... 169
Lampiran F Contoh Hasil Pengumpulan Data .................................................. 171
Lampiran G Foto-Foto Penelitian ....................................................................... 191
Lampiran H Surat Penelitian .............................................................................. 193
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