PENGARUH PENDEKATAN REALISTIC MATHEMATICS EDUCATION (RME) TERHADAP HASIL BELAJAR SISWA KELAS VII SMP ISLAM GANDUSARI TRENGGALEK PADA MATERI HIMPUNAN - Institutional Repository of IAIN Tulungagung
DAFTAR ISI
Halaman Sampul Luar ...................................................................................
i
Halaman Sampul Dalam ...............................................................................
ii
Halaman Persetujuan .....................................................................................
iii
Halaman Pengesahan ....................................................................................
iv
Halaman Pernyataan Keaslian Tulisan...........................................................
v
Halaman Motto ..............................................................................................
vi
Persembahan .................................................................................................
vii
Kata Pengantar ..............................................................................................
viii
Daftar Isi ........................................................................................................
x
Daftar Tabel ..................................................................................................
xii
Daftar Gambar................................................................................................
xiii
Daftar Lampiran ............................................................................................
xiv
Abstrak ..........................................................................................................
xv
Abstract ..........................................................................................................
xvi
المل ّخص...........................................................................................................
xvii
BAB I : PENDAHULUAN...........................................................................
1
A. Latar Belakang ..........................................................................
1
B. Rumusan Masalah .....................................................................
7
C. Tujuan Penelitian ......................................................................
8
D. Hipotesis Penelitian ..................................................................
8
E. Manfaat Penelitian ....................................................................
8
F. Penegasan Istilah .......................................................................
9
G. Sistematika Penulisan Skripsi ...................................................
11
BAB II : LANDASAN TEORI ....................................................................
13
A. Hakekat Matematika .................................................................
13
1. Pengertian Matematika .........................................................
13
2. Karakteristik Matematika.....................................................
16
B. Belajar Mengajar Matematika ...................................................
19
1. Pengertian Belajar .................................................................
19
x
2. Pengertian Mengajar .............................................................
21
C.Hasil Belajar..............................................................................
22
D. Pendekatan Realistic Mathematics Education (RME).............
28
1.Pengertian RME .....................................................................
28
2. Karakteristik RME ................................................................
32
3. Kelebihan dan kelemahan RME ...........................................
35
E. Implementasi Pendekatan RME pada materi himpunan ............
38
F. Materi himpunan .......................................................................
39
1. Pengertian Himpunan ........................................................... . 39
2. Himpunan kosong dan semesta............................................. . 40
3. Operasi Himpunan ................................................................ . 40
G. Penelitian Terdahulu ................................................................... 43
H. Kerangka Berpikir ....................................................................... 45
BAB III : METODE PENELITIAN ............................................................ 46
A.Pendekatan dan Jenis Penelitian .................................................. 46
B. Populasi, Sampling dan sampel Penelitian .................................. 47
C. Sumber Data, Variabel dan Skala Pengukuran............................ 49
D.Teknik Pengumpulan data dan Instrumen Penelitian .................. 51
E. Teknik Analisis Data ................................................................... 52
F. prosedur Penelitian ...................................................................... 59
BAB IV : HASIL PENELITIAN .................................................................. 62
A. Deskripsi Data ............................................................................ 62
B. Pengujian Hipotesis ..................................................................... 64
1. Uji Coba Instrument ................................................................ 65
2. Uji Prasyarat ............................................................................ 68
3. Uji Hipotesis............................................................................ 71
C. Rekapitulasi................................................................................. 76
BAB V : PEMBAHASAN .............................................................................. 78
BAB VI : PENUTUP ...................................................................................... 86
DAFTAR RUJUKAN .................................................................................... 88
LAMPIRAN-LAMPIRAN ............................................................................ 91
xi
Halaman Sampul Luar ...................................................................................
i
Halaman Sampul Dalam ...............................................................................
ii
Halaman Persetujuan .....................................................................................
iii
Halaman Pengesahan ....................................................................................
iv
Halaman Pernyataan Keaslian Tulisan...........................................................
v
Halaman Motto ..............................................................................................
vi
Persembahan .................................................................................................
vii
Kata Pengantar ..............................................................................................
viii
Daftar Isi ........................................................................................................
x
Daftar Tabel ..................................................................................................
xii
Daftar Gambar................................................................................................
xiii
Daftar Lampiran ............................................................................................
xiv
Abstrak ..........................................................................................................
xv
Abstract ..........................................................................................................
xvi
المل ّخص...........................................................................................................
xvii
BAB I : PENDAHULUAN...........................................................................
1
A. Latar Belakang ..........................................................................
1
B. Rumusan Masalah .....................................................................
7
C. Tujuan Penelitian ......................................................................
8
D. Hipotesis Penelitian ..................................................................
8
E. Manfaat Penelitian ....................................................................
8
F. Penegasan Istilah .......................................................................
9
G. Sistematika Penulisan Skripsi ...................................................
11
BAB II : LANDASAN TEORI ....................................................................
13
A. Hakekat Matematika .................................................................
13
1. Pengertian Matematika .........................................................
13
2. Karakteristik Matematika.....................................................
16
B. Belajar Mengajar Matematika ...................................................
19
1. Pengertian Belajar .................................................................
19
x
2. Pengertian Mengajar .............................................................
21
C.Hasil Belajar..............................................................................
22
D. Pendekatan Realistic Mathematics Education (RME).............
28
1.Pengertian RME .....................................................................
28
2. Karakteristik RME ................................................................
32
3. Kelebihan dan kelemahan RME ...........................................
35
E. Implementasi Pendekatan RME pada materi himpunan ............
38
F. Materi himpunan .......................................................................
39
1. Pengertian Himpunan ........................................................... . 39
2. Himpunan kosong dan semesta............................................. . 40
3. Operasi Himpunan ................................................................ . 40
G. Penelitian Terdahulu ................................................................... 43
H. Kerangka Berpikir ....................................................................... 45
BAB III : METODE PENELITIAN ............................................................ 46
A.Pendekatan dan Jenis Penelitian .................................................. 46
B. Populasi, Sampling dan sampel Penelitian .................................. 47
C. Sumber Data, Variabel dan Skala Pengukuran............................ 49
D.Teknik Pengumpulan data dan Instrumen Penelitian .................. 51
E. Teknik Analisis Data ................................................................... 52
F. prosedur Penelitian ...................................................................... 59
BAB IV : HASIL PENELITIAN .................................................................. 62
A. Deskripsi Data ............................................................................ 62
B. Pengujian Hipotesis ..................................................................... 64
1. Uji Coba Instrument ................................................................ 65
2. Uji Prasyarat ............................................................................ 68
3. Uji Hipotesis............................................................................ 71
C. Rekapitulasi................................................................................. 76
BAB V : PEMBAHASAN .............................................................................. 78
BAB VI : PENUTUP ...................................................................................... 86
DAFTAR RUJUKAN .................................................................................... 88
LAMPIRAN-LAMPIRAN ............................................................................ 91
xi