t mtk 0907980 table of contents
DAFTAR ISI
ABSTRAK ............................................................................................................i
KATA PENGANTAR ..........................................................................................ii
DAFTAR ISI .........................................................................................................iv
DAFTAR LAMPIRAN .........................................................................................v
DAFTAR TABEL ................................................................................................vi
DAFTAR GAMBAR ............................................................................................vii
BAB I PENDAHULUAN
A. Latar Belakang Masalah .................................................................................1
B. Rumusan Masalah ..........................................................................................11
C. Tujuan Penelitian ............................................................................................12
D. Manfaat Penelitian ..........................................................................................12
E. Hipotesis Penelitian ........................................................................................13
F. Definisi Operasional .......................................................................................13
BAB II KAJIAN PUSTAKA
A. Teori Belajar yang Mendukung .......................................................................17
B. Pembelajaran dengan Pendekatan SAVI .........................................................24
C. Pembelajaran Konvensional ............................................................................27
D. Kemampuan Penalaran Matematis ................................................................28
E. Penalaran Induktif ...........................................................................................30
F. Kemampuan Analogi Matematis .....................................................................32
G. Kemampuan Generalisasi Matematis ..............................................................34
H. Penelitian yang Relevan .................................................................................37
BAB III METODE PENELITIAN
A. Desain Penelitian ............................................................................................38
B. Lokasi dan Waktu Penelitian ...........................................................................38
C. Populasi dan Sampel ......................................................................................39
D. Variabel Penelitian ..........................................................................................40
E. Instrumen Penelitian ........................................................................................41
F. Analisis Hasil Ujicoba Instrumen....................................................................48
G. Teknik Analisis Data .......................................................................................52
H. Prosedur Penelitian ..........................................................................................59
BAB IV HASIL PENELITIAN DAN PEMBAHASAN
A. Hasil Penelitian................................................................................................60
B. Pembahasan ....................................................................................................79
C. Keterbatasan Penelitian ...................................................................................84
BAB V KESIMPULAN DAN SARAN
A. Kesimpulan .....................................................................................................85
B. Saran ...............................................................................................................86
DAFTAR PUSTAKA
RIWAYAT HIDUP
iv
DAFTAR LAMPIRAN
LAMPIRAN A BAHAN AJAR
1. Silabus Penelitian ...........................................................................................92
2. RPP Kelas Eksperimen ...................................................................................94
3. RPP Kelas Kontrol .........................................................................................112
4. Lembar Kerja Siswa (LKS) ...........................................................................130
LAMPIRAN B INSTRUMEN PENELITIAN
1. Kisi-Kisi Soal Kemampuan Analogi Matematis Siswa..................................172
2. Soal Kemampuan Analogi Matematis Siswa .................................................173
3. Kunci Jawaban Soal Kemampuan Analogi Matematis Siswa ........................176
4. Kisi-Kisi Soal Kemampuan Generalisasi Matematis Siswa ...........................178
5. Soal Kemampuan Generalisasi Matematis Siswa ..........................................180
6. Kunci Jawaban Soal Kemampuan Generalisasi Matematis Siswa .................184
7. Kisi-Kisi Skala Sikap Siswa Dalam Pembelajaran dengan Pendekatan
SAVI berbantuan Wingeom. ..........................................................................188
8. Skala Sikap Siswa Dalam Pembelajaran dengan Pendekatan SAVI
berbantuan Wingeom......................................................................................189
9. Kunci Jawaban Skala Sikap Siswa Dalam Pembelajaran dengan
Pendekatan SAVI berbantuan Wingeom ........................................................191
10. Lembar Observasi Siswa ................................................................................192
LAMPIRAN C UJI COBA INSTRUMEN
1. Data Uji Coba Kemampuan Analogi Matematis Siswa ................................195
2. Analisis Data Uji Coba Kemampuan Analogi Matematis Siswa ...................200
3. Data Uji Coba Kemampuan Generalisasi Matematis Siswa ..........................203
4. Analisis Data Uji Coba Kemampuan Generalisasi Matematis Siswa ............208
LAMPIRAN D DATA HASIL PENELITIAN
1. Data Hasil Pretest Kemampuan Analogi Matematis Siswa ...........................212
2. Analisis Data Hasil Pretest Kemampuan Analogi Matematis Siswa .............214
3. Data Hasil Pretest Kemampuan Generalisasi Matematis Siswa ....................215
4. Analisis Data Hasil Pretest Kemampuan Generalisasi Matematis Siswa ......217
5. Data Hasil Posttest Kemampuan Analogi Matematis Siswa ..........................218
6. Analisis Data Hasil Posttest Kemampuan Analogi Matematis Siswa............220
7. Data Hasil Posttest Kemampuan Generalisasi Matematis Siswa ...................221
8. Analisis Data Hasil Posttest Kemampuan Generalisasi Matematis Siswa .....223
9. Data Angket Sikap Siswa terhadap Matematika ............................................224
SURAT-SURAT PENELITIAN
1. Surat Izin Penelitian
2. Surat Keterangan telah Melakukan Ujicoba Soal
3. Surat Keterangan telah Melakukan Penelitian
v
DAFTAR TABEL
Tabel
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
3.10
3.11
3.12
3.13
4.14
4.15
4.16
4.17
4.18
4.19
4.20
4.21
4.22
4.23
4.24
4.25
4.26
4.27
4.28
Jadwal Kegiatan Penelitian........................................................................39
Klasifikasi Koefisien Validitas ..................................................................43
Klasifikasi Koefisien Reliabilitas ..............................................................44
Klasifikasi Daya Pembeda .........................................................................45
Klasifikasi Tingkat Kesukaran ..................................................................47
Validitas Tes Kemampuan Analogi Matematis Siswa ..............................49
Reliabilitas Tes Kemampuan Analogi Matematis Siswa ..........................49
Daya Pembeda Tes Kemampuan Analogi Matematis Siswa.....................50
Tingkat Kesukaran Tes Kemampuan Analogi Matematis Siswa ..............50
Validitas Tes Kemampuan Generalisasi Matematis Siswa .......................51
Reliabilitas Tes Kemampuan Generalisasi Matematis Siswa....................51
Daya Pembeda Tes Kemampuan Generalisasi Matematis Siswa..............52
Tingkat Kesukaran Tes Kemampuan Generalisasi Matematis Siswa .......52
Rekapitulasi Skor Pretest dan Posttest Kemampuan Analogi
Matematis Siswa ........................................................................................61
Uji Normalitas Tes Kemampuan Analogi Matematis Siswa .....................62
Uji Homogenitas Tes Kemampuan Analogi Matematis Siswa .................63
Uji Perbedaan Rerata Skor Pretest Kemampuan Analogi Matematis
Siswa..........................................................................................................64
Uji Perbedaan Rerata Skor Posttest Kemampuan Analogi Matematis
Siswa..........................................................................................................65
Rekapitulasi Skor Pretest dan Posttest Kemampuan Generalisasi
Matematis Siswa ........................................................................................65
Uji Normalitas Tes Kemampuan Generalisasi Matematis Siswa ..............67
Uji Homogenitas Tes Kemampuan Generalisasi Matematis Siswa
68
Uji Perbedaan Rerata Skor Pretest Kemampuan Generalisasi
Matematis Siswa ........................................................................................68
Uji Perbedaan RerataSkor Posttest Kemampuan Generalisasi
Matematis Siswa ........................................................................................69
Sikap Siswa Terhadap Pelajaran Matematika ...........................................70
Sikap Siswa terhadap Pembelajaran dengan Pendekatan SAVI................72
Sikap Siswa terhadap Pembelajaran Berbantuan Wingeom ......................73
Hasil Pengamatan Aktivitas Guru Selama Pembelajaran Dengan
Pendekatan Savi Berbantuan Wingeom ....................................................76
Hasil Pengamatan Aktivitas Siswa Selama Pembelajaran dengan
Pendekatan SAVI Berbantuan Wingeom ..................................................78
vi
DAFTAR GAMBAR
Gambar
3.1
Diagram Alur Penelitian .....................................................................59
4.2
Perbandingan Rerata Hasil Pretest dan Posttest Kemampuan
Analogi Matematis Siswa ....................................................................61
4.3
Perbandingan Rerata Hasil Pretest dan Posttest Kemampuan
Generalisasi Matematis Siswa .............................................................66
4.4
Perkembangan Aktifitas Guru Pada Pembelajaran dengan
Pendekatan SAVI berbantuan Wingeom .............................................77
4.5
Perkembangan Aktifitas Siswa Pada Pembelajaran dengan
Pendekatan SAVI berbantuan Wingeom .............................................79
vii
ABSTRAK ............................................................................................................i
KATA PENGANTAR ..........................................................................................ii
DAFTAR ISI .........................................................................................................iv
DAFTAR LAMPIRAN .........................................................................................v
DAFTAR TABEL ................................................................................................vi
DAFTAR GAMBAR ............................................................................................vii
BAB I PENDAHULUAN
A. Latar Belakang Masalah .................................................................................1
B. Rumusan Masalah ..........................................................................................11
C. Tujuan Penelitian ............................................................................................12
D. Manfaat Penelitian ..........................................................................................12
E. Hipotesis Penelitian ........................................................................................13
F. Definisi Operasional .......................................................................................13
BAB II KAJIAN PUSTAKA
A. Teori Belajar yang Mendukung .......................................................................17
B. Pembelajaran dengan Pendekatan SAVI .........................................................24
C. Pembelajaran Konvensional ............................................................................27
D. Kemampuan Penalaran Matematis ................................................................28
E. Penalaran Induktif ...........................................................................................30
F. Kemampuan Analogi Matematis .....................................................................32
G. Kemampuan Generalisasi Matematis ..............................................................34
H. Penelitian yang Relevan .................................................................................37
BAB III METODE PENELITIAN
A. Desain Penelitian ............................................................................................38
B. Lokasi dan Waktu Penelitian ...........................................................................38
C. Populasi dan Sampel ......................................................................................39
D. Variabel Penelitian ..........................................................................................40
E. Instrumen Penelitian ........................................................................................41
F. Analisis Hasil Ujicoba Instrumen....................................................................48
G. Teknik Analisis Data .......................................................................................52
H. Prosedur Penelitian ..........................................................................................59
BAB IV HASIL PENELITIAN DAN PEMBAHASAN
A. Hasil Penelitian................................................................................................60
B. Pembahasan ....................................................................................................79
C. Keterbatasan Penelitian ...................................................................................84
BAB V KESIMPULAN DAN SARAN
A. Kesimpulan .....................................................................................................85
B. Saran ...............................................................................................................86
DAFTAR PUSTAKA
RIWAYAT HIDUP
iv
DAFTAR LAMPIRAN
LAMPIRAN A BAHAN AJAR
1. Silabus Penelitian ...........................................................................................92
2. RPP Kelas Eksperimen ...................................................................................94
3. RPP Kelas Kontrol .........................................................................................112
4. Lembar Kerja Siswa (LKS) ...........................................................................130
LAMPIRAN B INSTRUMEN PENELITIAN
1. Kisi-Kisi Soal Kemampuan Analogi Matematis Siswa..................................172
2. Soal Kemampuan Analogi Matematis Siswa .................................................173
3. Kunci Jawaban Soal Kemampuan Analogi Matematis Siswa ........................176
4. Kisi-Kisi Soal Kemampuan Generalisasi Matematis Siswa ...........................178
5. Soal Kemampuan Generalisasi Matematis Siswa ..........................................180
6. Kunci Jawaban Soal Kemampuan Generalisasi Matematis Siswa .................184
7. Kisi-Kisi Skala Sikap Siswa Dalam Pembelajaran dengan Pendekatan
SAVI berbantuan Wingeom. ..........................................................................188
8. Skala Sikap Siswa Dalam Pembelajaran dengan Pendekatan SAVI
berbantuan Wingeom......................................................................................189
9. Kunci Jawaban Skala Sikap Siswa Dalam Pembelajaran dengan
Pendekatan SAVI berbantuan Wingeom ........................................................191
10. Lembar Observasi Siswa ................................................................................192
LAMPIRAN C UJI COBA INSTRUMEN
1. Data Uji Coba Kemampuan Analogi Matematis Siswa ................................195
2. Analisis Data Uji Coba Kemampuan Analogi Matematis Siswa ...................200
3. Data Uji Coba Kemampuan Generalisasi Matematis Siswa ..........................203
4. Analisis Data Uji Coba Kemampuan Generalisasi Matematis Siswa ............208
LAMPIRAN D DATA HASIL PENELITIAN
1. Data Hasil Pretest Kemampuan Analogi Matematis Siswa ...........................212
2. Analisis Data Hasil Pretest Kemampuan Analogi Matematis Siswa .............214
3. Data Hasil Pretest Kemampuan Generalisasi Matematis Siswa ....................215
4. Analisis Data Hasil Pretest Kemampuan Generalisasi Matematis Siswa ......217
5. Data Hasil Posttest Kemampuan Analogi Matematis Siswa ..........................218
6. Analisis Data Hasil Posttest Kemampuan Analogi Matematis Siswa............220
7. Data Hasil Posttest Kemampuan Generalisasi Matematis Siswa ...................221
8. Analisis Data Hasil Posttest Kemampuan Generalisasi Matematis Siswa .....223
9. Data Angket Sikap Siswa terhadap Matematika ............................................224
SURAT-SURAT PENELITIAN
1. Surat Izin Penelitian
2. Surat Keterangan telah Melakukan Ujicoba Soal
3. Surat Keterangan telah Melakukan Penelitian
v
DAFTAR TABEL
Tabel
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
3.10
3.11
3.12
3.13
4.14
4.15
4.16
4.17
4.18
4.19
4.20
4.21
4.22
4.23
4.24
4.25
4.26
4.27
4.28
Jadwal Kegiatan Penelitian........................................................................39
Klasifikasi Koefisien Validitas ..................................................................43
Klasifikasi Koefisien Reliabilitas ..............................................................44
Klasifikasi Daya Pembeda .........................................................................45
Klasifikasi Tingkat Kesukaran ..................................................................47
Validitas Tes Kemampuan Analogi Matematis Siswa ..............................49
Reliabilitas Tes Kemampuan Analogi Matematis Siswa ..........................49
Daya Pembeda Tes Kemampuan Analogi Matematis Siswa.....................50
Tingkat Kesukaran Tes Kemampuan Analogi Matematis Siswa ..............50
Validitas Tes Kemampuan Generalisasi Matematis Siswa .......................51
Reliabilitas Tes Kemampuan Generalisasi Matematis Siswa....................51
Daya Pembeda Tes Kemampuan Generalisasi Matematis Siswa..............52
Tingkat Kesukaran Tes Kemampuan Generalisasi Matematis Siswa .......52
Rekapitulasi Skor Pretest dan Posttest Kemampuan Analogi
Matematis Siswa ........................................................................................61
Uji Normalitas Tes Kemampuan Analogi Matematis Siswa .....................62
Uji Homogenitas Tes Kemampuan Analogi Matematis Siswa .................63
Uji Perbedaan Rerata Skor Pretest Kemampuan Analogi Matematis
Siswa..........................................................................................................64
Uji Perbedaan Rerata Skor Posttest Kemampuan Analogi Matematis
Siswa..........................................................................................................65
Rekapitulasi Skor Pretest dan Posttest Kemampuan Generalisasi
Matematis Siswa ........................................................................................65
Uji Normalitas Tes Kemampuan Generalisasi Matematis Siswa ..............67
Uji Homogenitas Tes Kemampuan Generalisasi Matematis Siswa
68
Uji Perbedaan Rerata Skor Pretest Kemampuan Generalisasi
Matematis Siswa ........................................................................................68
Uji Perbedaan RerataSkor Posttest Kemampuan Generalisasi
Matematis Siswa ........................................................................................69
Sikap Siswa Terhadap Pelajaran Matematika ...........................................70
Sikap Siswa terhadap Pembelajaran dengan Pendekatan SAVI................72
Sikap Siswa terhadap Pembelajaran Berbantuan Wingeom ......................73
Hasil Pengamatan Aktivitas Guru Selama Pembelajaran Dengan
Pendekatan Savi Berbantuan Wingeom ....................................................76
Hasil Pengamatan Aktivitas Siswa Selama Pembelajaran dengan
Pendekatan SAVI Berbantuan Wingeom ..................................................78
vi
DAFTAR GAMBAR
Gambar
3.1
Diagram Alur Penelitian .....................................................................59
4.2
Perbandingan Rerata Hasil Pretest dan Posttest Kemampuan
Analogi Matematis Siswa ....................................................................61
4.3
Perbandingan Rerata Hasil Pretest dan Posttest Kemampuan
Generalisasi Matematis Siswa .............................................................66
4.4
Perkembangan Aktifitas Guru Pada Pembelajaran dengan
Pendekatan SAVI berbantuan Wingeom .............................................77
4.5
Perkembangan Aktifitas Siswa Pada Pembelajaran dengan
Pendekatan SAVI berbantuan Wingeom .............................................79
vii