ANALISIS KEMAMPUAN BERPIKIR ANALOGI SISWA DALAM MENYELESAIKAN SOAL BANGUN RUANG SISI LENGKUNG PADA KELAS IX-F SMP NEGERI 1 DURENAN TRENGGALEK TAHUN AJARAN 2016 2017 - Institutional Repository of IAIN Tulungagung
DAFTAR ISI
HALAMAN SAMPUL DEPAN ....................................................................... i
HALAMAN JUDUL ......................................................................................... ii
LEMBAR PERSETUJUAN ............................................................................. iii
LEMBAR PENGESAHAN .............................................................................. iv
PERNYATAAN KEASLIAN TULISAN ........................................................ v
MOTTO ............................................................................................................. vi
HALAMAN PERSEMBAHAN ....................................................................... vii
KATA PENGANTAR....................................................................................... viii
DAFTAR ISI...................................................................................................... x
DAFTAR TABEL ............................................................................................. xiii
DAFTAR GAMBAR......................................................................................... xiv
DAFTAR LAMPIRAN ..................................................................................... xv
ABSTRAK ......................................................................................................... xvi
BAB I
: PENDAHULUAN
A. Latar Belakang Masalah ............................................................. 1
B. Fokus Penelitian ......................................................................... 10
C. Tujuan Penelitian......................................................................... 10
D. Manfaat Hasil Penelitian ............................................................ 10
E. Penegasan Istilah ........................................................................ 12
F. Sistematika Penulisan Skripsi ..................................................... 14
BAB II
: KAJIAN PUSTAKA
A. Hakekat Matematika ................................................................... 16
1. Definisi Matematika .............................................................. 16
2. Karakteristik Matematika ..................................................... 18
B. Kemampuan Berpikir ................................................................. 20
1. Pengertian Berpikir ............................................................... 20
2. Macam-macam Cara Berpikir .............................................. 21
3. Proses Berpikir ..................................................................... 22
4. Bentuk-bentuk Berpikir ........................................................ 25
5. Tingkat-tingkat Berpikir ....................................................... 26
C. Berpikir Analogi.......................................................................... 27
1. Pengertian Berpikir Analogi ................................................. 27
2. Macam-macam Analogi ....................................................... 28
3. Keterpercayaan dalam Analogi ............................................ 29
4. Masalah Sumber dan Masalah Target .................................. 30
5. Manfaat Berpikir Analogi ..................................................... 31
D. Implementasi Berpikir Analogi dalam Memecahkan Masalah
..................................................................................................... 32
E. Langkah-Langkah Analisis Data Tes Berpikir Analogi Matematika ......................................................................................... 34
F. Manteri Bangun Ruang Sisi Lengkung ...................................... 35
1. Tabung .................................................................................. 35
2. Kerucut ................................................................................. 39
3. Perbandingan Volume Tabung dan Kerucut karena Perubahan Jari-jari ....................................................................... 42
4. Selisih Volume Tabung dan Kerucut karena Perubahan
Jari-jari .................................................................................. 43
G. Hasil Penelitian Terdahulu ......................................................... 44
H. Kerangka Berpikir Peneliti ......................................................... 48
BAB III : METODE PENELITIAN
A. Pendekatan dan Jenis Penelitian.................................................. 50
B. Lokasi Penelitian ........................................................................ 51
C. Kehadiran Peneliti ...................................................................... 52
D. Data dan Sumber Data ................................................................ 52
E. Teknik Pengumpulan Data .......................................................... 53
F. Teknik Analisis Data .................................................................. 55
G. Pengecekan Keabsahan Data ...................................................... 57
H. Tahap-tahap Penelitian ............................................................... 58
BAB IV : HASIL PENELITIAN
A. Paparan Data ............................................................................... 61
B. Temuan Penelitian ...................................................................... 107
BAB V
: PEMBAHASAN ............................................................................. 109
BAB VI : PENUTUP
A. Kesimpulan ................................................................................. 118
B. Saran ........................................................................................... 120
DAFTAR RUJUKAN ...................................................................................... 121
LAMPIRAN-LAMPIRAN .............................................................................. 124
HALAMAN SAMPUL DEPAN ....................................................................... i
HALAMAN JUDUL ......................................................................................... ii
LEMBAR PERSETUJUAN ............................................................................. iii
LEMBAR PENGESAHAN .............................................................................. iv
PERNYATAAN KEASLIAN TULISAN ........................................................ v
MOTTO ............................................................................................................. vi
HALAMAN PERSEMBAHAN ....................................................................... vii
KATA PENGANTAR....................................................................................... viii
DAFTAR ISI...................................................................................................... x
DAFTAR TABEL ............................................................................................. xiii
DAFTAR GAMBAR......................................................................................... xiv
DAFTAR LAMPIRAN ..................................................................................... xv
ABSTRAK ......................................................................................................... xvi
BAB I
: PENDAHULUAN
A. Latar Belakang Masalah ............................................................. 1
B. Fokus Penelitian ......................................................................... 10
C. Tujuan Penelitian......................................................................... 10
D. Manfaat Hasil Penelitian ............................................................ 10
E. Penegasan Istilah ........................................................................ 12
F. Sistematika Penulisan Skripsi ..................................................... 14
BAB II
: KAJIAN PUSTAKA
A. Hakekat Matematika ................................................................... 16
1. Definisi Matematika .............................................................. 16
2. Karakteristik Matematika ..................................................... 18
B. Kemampuan Berpikir ................................................................. 20
1. Pengertian Berpikir ............................................................... 20
2. Macam-macam Cara Berpikir .............................................. 21
3. Proses Berpikir ..................................................................... 22
4. Bentuk-bentuk Berpikir ........................................................ 25
5. Tingkat-tingkat Berpikir ....................................................... 26
C. Berpikir Analogi.......................................................................... 27
1. Pengertian Berpikir Analogi ................................................. 27
2. Macam-macam Analogi ....................................................... 28
3. Keterpercayaan dalam Analogi ............................................ 29
4. Masalah Sumber dan Masalah Target .................................. 30
5. Manfaat Berpikir Analogi ..................................................... 31
D. Implementasi Berpikir Analogi dalam Memecahkan Masalah
..................................................................................................... 32
E. Langkah-Langkah Analisis Data Tes Berpikir Analogi Matematika ......................................................................................... 34
F. Manteri Bangun Ruang Sisi Lengkung ...................................... 35
1. Tabung .................................................................................. 35
2. Kerucut ................................................................................. 39
3. Perbandingan Volume Tabung dan Kerucut karena Perubahan Jari-jari ....................................................................... 42
4. Selisih Volume Tabung dan Kerucut karena Perubahan
Jari-jari .................................................................................. 43
G. Hasil Penelitian Terdahulu ......................................................... 44
H. Kerangka Berpikir Peneliti ......................................................... 48
BAB III : METODE PENELITIAN
A. Pendekatan dan Jenis Penelitian.................................................. 50
B. Lokasi Penelitian ........................................................................ 51
C. Kehadiran Peneliti ...................................................................... 52
D. Data dan Sumber Data ................................................................ 52
E. Teknik Pengumpulan Data .......................................................... 53
F. Teknik Analisis Data .................................................................. 55
G. Pengecekan Keabsahan Data ...................................................... 57
H. Tahap-tahap Penelitian ............................................................... 58
BAB IV : HASIL PENELITIAN
A. Paparan Data ............................................................................... 61
B. Temuan Penelitian ...................................................................... 107
BAB V
: PEMBAHASAN ............................................................................. 109
BAB VI : PENUTUP
A. Kesimpulan ................................................................................. 118
B. Saran ........................................................................................... 120
DAFTAR RUJUKAN ...................................................................................... 121
LAMPIRAN-LAMPIRAN .............................................................................. 124