T MAT 1303350 Table of content

DAFTAR ISI

HALAMAN JUDUL .............................................................................................. i
LEMBAR HAK CIPTA .......................................................................................... ii
LEMBAR PENGESAHAN ................................................................................. iii
LEMBAR PERNYATAAN ................................................................................. iv
ABSTRAK .............................................................................................................. v
ABSTRACT ........................................................................................................... vi

KATA PENGANTAR ........................................................................................ vii
UCAPAN TERIMA KASIH ................................................................................ viii
DAFTAR ISI ........................................................................................................ ix
DAFTAR TABEL .................................................................................................. x
DAFTAR GAMBAR ........................................................................................... xi
DAFTAR LAMPIRAN ....................................................................................... xii

BAB I. PENDAHULUAN
A. Latar Belakang .......................................................................................... 1
B. Rumusan Masalah ..................................................................................... 7
C. Tujuan Penelitian ....................................................................................... 8
D. Manfaat Penelitian ..................................................................................... 8

E. Definisi Operasional .................................................................................. 9

BAB II. KAJIAN PUSTAKA
A. Pemahaman Matematik ........................................................................... 12
B. Komunikasi Matematik ............................................................................. 16
C. Self-efficacy ............................................................................................... 22
D. Matematisasi Berjenjang ........................................................................... 29
E. Penelitian-penelitian yang Relevan ........................................................... 39
F. Kerangka Berpikir ..................................................................................... 41

Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN
KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

G. Hipotesis ................................................................................................... 43

BAB III. METODE PENELITIAN
A. Design Penelitian .................................................................................... 44
B. Populasi dan Sampel ............................................................................... 44

C. Teknik Pengumpulan Data ...................................................................... 45
D. Variabel Penelitian .................................................................................. 46
E. Instrumen Penelitian ................................................................................ 46
F. Analisa Data ............................................................................................ 57
G. Prosedur Penelitian .................................................................................. 61
H. Jadwal Pelaksanaan Penelitian ................................................................ 62

BAB IV. HASIL PENELITIAN DAN PEMBAHASAN
A. Hasil Penelitian ....................................................................................... 63
1. Analisa Data Hasil Tes Kemampuan Pemahaman Matematik ........... 64
2. Analisa Data Hasil Tes Kemampuan Komunikasi Matematik ........... 75
3. Analisa Data Self-efficacy ................................................................... 85
B. Pembahasan ............................................................................................. 90
1. Pelaksanaan Pembelajaran .................................................................. 91
2. Kemampuan Pemahaman Matematik Siswa ..................................... 102
3. Kemampuan Komunikasi Matematik Siswa ..................................... 106
4. Self-efficacy Siswa ............................................................................ 109
5. Analisa Lembar Observasi ................................................................ 111
6. Analisa Data Hasil Wawancara ......................................................... 115


BAB V. KESIMPULAN DAN SARAN
A. Kesimpulan ........................................................................................... 117
B. Saran ...................................................................................................... 118

Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN
KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

DAFTAR PUSTAKA ....................................................................................... 120

DAFTAR TABEL

Tabel 2.1 Pembagian Tingkat Pemahaman Menurut Ahli .................................. 14
Tabel 2.2 Indikator Self-Efficacy ......................................................................... 28
Tabel 3.1 Interpretasi Nilai Korelasi ................................................................... 50
Tabel 3.2 Hasil Perhitungan Validitas Ujicoba Soal ............................................. 50
Tabel 3.3 Hasil Perhitungan Validitas Angket ...................................................... 52
Tabel 3.4 Klasifikasi Koefisien Reliabilitas......................................................... 53
Tabel 3.5 Klasifikasi Daya Pembeda .................................................................. 54

Tabel 3.6 Hasil Perhitungan Daya Pembeda ......................................................... 55
Tabel 3.7 Klasifikasi Tingkat Kesukaran Soal .................................................... 55
Tabel 3.8 Hasil Perhitungan Tingkat Kesukaran Soal .......................................... 56
Tabel 3.9 Rekapitulasi Hasil Perhitungan Uji coba Soal ...................................... 56
Tabel 3.10 Rekapitulasi Hasil Perhitungan Uji coba Angket ............................... 57
Tabel 3.11 Kriteria N-gain .................................................................................... 58
Tabel 3.12 Jadwal Pelaksanaan Penelitian ........................................................... 62
Tabel 4.1 Hasil Tes Kemampuan Pemahaman Matematik ................................... 64
Tabel 4.2 Hasil Uji Normalitas Pre-test ................................................................ 66
Tabel 4.3 Hasil Uji Homogenitas Variansi Pre-test ............................................. 67
Tabel 4.4 Hasil Uji Kesamaan Rerata Pre-test ..................................................... 68
Tabel 4.5 Hasil Uji Normalitas Post-test .............................................................. 69
Tabel 4.6 Hasil Uji Homogenitas Variansi Post-test ............................................ 70
Tabel 4.7 Hasil Uji Kesamaan Rerata Post-test .................................................... 71
Tabel 4.8 Hasil Uji Normalitas N-gain ................................................................ 72
Tabel 4.9 Hasil Uji Homogenitas Variansi N-gain ............................................... 73
Tabel 4.10 Hasil Uji Kesamaan Rerata N-gain ..................................................... 74

Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN

KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

Tabel 4.11 Hasil Tes Kemampuan Komunikasi Matematik ................................. 75
Tabel 4.12 Hasil Uji Normalitas Pre-test .............................................................. 77
Tabel 4.13 Rekapitulasi Hasil Uji Homogenitas Varriansi Pre-test ..................... 78
Tabel 4.14 Hasil Uji Kesamaan Rerata Pre-test ................................................... 79
Tabel 4.15 Hasil Uji Normalitas Post-test ............................................................ 80
Tabel 4.16 Hasil Uji Homogenitas Variansi Post-test .......................................... 81
Tabel 4.17 Hasil Uji Kesamaan Rerata Post-test .................................................. 82
Tabel 4.18 Hasil Uji Normalitas N-gain .............................................................. 82
Tabel 4.19 Hasil Uji Homogenitas Variansi N-gain ............................................. 84
Tabel 4.20 Hasil Uji Kesamaan Rerata N-gain ..................................................... 85
Tabel 4.21 Hasil Angket Self-efficacy................................................................... 86
Tabel 4.22 Hasil Uji Kesamaan Median Self-efficacy Sebelum .......................... 88
Tabel 4.23 Hasil Uji Kesamaan Median Self-efficacy Sesudah ............................ 89
Tabel 4.24 Hasil Uji Kesamaan Median Self-efficacy N-gain .............................. 90
Tabel 4.31 Lembar Observasi Siswa ................................................................... 112
Tabel 4.32 Lembar Observasi Siswa Tentang Self-efficacy ................................ 113


Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN
KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN
KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

DAFTAR GAMBAR

Gambar 2.1 Anak Tangga Model Matematisasi Berjenjang ................................ 37
Gambar 3.1 Diagram Alur Pengolahan Data Kuantitatif ...................................... 59
Gambar 4.1 Perbandingan Rerata Skor Pre-test Post-test dan N-gain ................. 65
Gambar 4.2 Perbandingan Rerata Skor Pre-test Post-test dan N-gain ................. 76
Gambar 4.3 Perbandingan Median Frekuensi Skor Angket Self-efficacy............. 87
Gambar 4.4 Aktivitas Siswa dalam Menggunakan Alat Peraga ........................... 98
Gambar 4.5 Guru Memberikan Arahan Kepada Kelompok ................................. 98
Gambar 4. 6 Gambar dalam LKS yang Dikerjakan Siswa.................................... 99

Gambar 4.7 Salah Satu Simbol yang Dibuat Siswa .............................................. 99
Gambar 4.8 Kegiatan Tahap Formal Terpusat pada Guru .................................. 100
Gambar 4.9 Pengerjaan Siswa Secara Prosedural .............................................. 105
Gambar 4.10 Kesalahan Operasi Aljabar ........................................................... 106
Gambar 4.11 Jawaban Siswa 1 pada LKS1 ........................................................ 108
Gambar 4.12 Jawaban Siswa 2 pada LKS1 ........................................................ 108
Gambar 4.13 Jawaban Siswa 3 pada LKS1 ........................................................ 108

Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN
KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

DAFTAR LAMPIRAN

LAMPIRAN A INSTRUMEN PENELITIAN
Lampiran A.1 Kisi-kisi Instrumen Tes .............................................................. 125
Lampiran A.2 Instrumen Tes Kemampuan Pemahaman dan Komunikasi ....... 127
Lampiran A.3 Kisi-kisi Angket Self-efficacy ..................................................... 129
Lampiran A.4 Instrumen Angket Self-efficacy................................................... 130

Lampiran A.5 Rangkuman Hasil Validasi Ahli .................................................. 132
Lampiran A.6 Rubrik Penilaian Tes ................................................................... 140
Lampiran A.7 Lembar Observasi ........................................................................ 141
Lampiran A.8 Pedoman Wawancara................................................................... 143
Lampiran A.9 RPP Kelas MMB dan KONV ...................................................... 144
Lampiran A.10 Lembar Kerja Siswa .................................................................. 194

LAMPIRAN B ANALISIS HASIL UJI COBA
Lampiran B.1 Hasil Validitas Butir Soal ............................................................ 223
Lampiran B.2 Perubahan Soal Tes ...................................................................... 224
Lampiran B.3 Hasil Validitas Angket ................................................................. 226
Lampiran B.4 Hasil Reliabilitas Soal dan Angket .............................................. 228
Lampiran B.5 Perhitungan Daya Pembeda dan Tingkat Kesukaran ................... 229

LAMPIRAN C ANALISIS HASIL PENELITIAN PEMAHAMAN
Lampiran C.1 Hasil Tes Kemampuan Pemahaman ............................................ 230
Lampiran C.2 Uji Normalitas Kemampuan Pemahaman .................................... 234
Lampiran C.3 Uji Homogenitas Kemampuan Pemahaman ................................ 240
Lampiran C.4 Uji Kesamaan Rerata Kemampuan Pemahaman ......................... 241


LAMPIRAN D ANALISIS HASIL PENELITIAN KOMUNIKASI
Lampiran D.1 Hasil Tes Kemampuan Komunikasi ............................................ 242

Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN
KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

Lampiran D.2 Uji Normalitas Kemampuan Komunikasi ................................... 246
Lampiran D.3 Uji Homogenitas Kemampuan Komunikasi ................................ 252
Lampiran D.4 Uji Kesamaan Rerata Kemampuan Komunikasi ......................... 253

LAMPIRAN E ANALISIS HASIL PENELITIAN SELF-EFFICACY
Lampiran E.1 Hasil Angket Self-efficacy ............................................................ 254
Lampiran E.2 Frekuensi Self-Efficacy Siswa ..................................................... 258
Lampiran E.3 Hasil SPSS Uji Median Frekuensi Self-efficacy Sebelum ........... 259
Lampiran E.4 Hasil SPSS Uji Median Frekuensi Self-efficacy Sesudah ............ 260
Lampiran E.5 Hasil SPSS Uji Median Frekuensi N-gain Self-efficacy .............. 261
Lampiran E.6 Hasil Wawancara Siswa ............................................................... 262


LAMPIRAN F DATA PENUNJANG
Lampiran F.1 Foto Kegiatan Pembelajaran ........................................................ 267
Lampiran F.2 Surat Ijin Studi Pendahuluan dari Kampus .................................. 268
Lampiran F.3 Surat Ijin dari Sekolah .................................................................. 269
Lampiran F.4 SK Pembimbing ........................................................................... 270
Lampiran F.5 Surat Keterangan Telah Melakukan Penelitian ............................ 271

Klara Iswara Sukmawati, 2015
PENERAPAN MATEMATISASI BERJENJANG SEBAGAI UPAYA UNTUK MENINGKATKAN
KEMAMPUAN PEMAHAMAN, KOMUNIKASI DAN SELF-EFFICACY SISWA SMP
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu