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FORMULASI MODEL PERMUTASI SIKLIS DENGAN OBJEK MULTINOMIAL
Full text linkPenelitian ini bertujuan membangun model matematika untuk menghitung jumlah susunan objek dari permutasi siklis yang memiliki objek multinomial. Model yang dibangun dibatasi untuk permutasi siklis yang memiliki objek multinomial dengan minimal ada satu jenis objek beranggotakan tunggal. Pemodelan dilakukan berdasarkan struktur matematika dari permutasi siklis dan permutasi multinomial. Model permutasi siklis yang memiliki objek multinomial telah dirumuskan. Pembuktian model telah dilakukan melalui validasi struktur serta validasi hasil yang dilakukan dengan cara membandingkan hasil perhitungan model dan hasil pencacahan. Teorema tentang permutasi siklis dengan objek multinomial juga telah dibangun.
Kata kunci: pemodelan , permutasi siklis, permutasi multinomial
This study aims at constructing mathematical model to count the number of arrangement of objects form cyclical permutation that has multinomial objects. The model constructed is limited to cyclical permutation that has multinomial object in which at least one kind of object having single cardinality is contained within. Modelling is undertaken based on mathematical structure of cyclical permutation and multinomial permutation. Cyclical permutation model having multinomial object has been formulated as . The proof of the model has been undertaken by validating structure and validating the outcome which was conducted by comparing counting result of model and counting result manually. The theorem of cyclical permutation with multinomial object has also been developed.
Keywords: modelling, cyclical permutation, multinomial permutatio
PENGEMBANGAN MEDIA PEMBELAJARAN MENGGUNAKAN POWERPOINT DISERTAI VISUAL BASIC FOR APPLICATION MATERI JARAK PADA BANGUN RUANG KELAS X
Full text linkPenelitian ini bertujuan : (1) menghasilkan media pembelajaran menggunakan powerpoint disertai visual basic for application materi jarak pada bangun ruang yang valid dan praktis di kelas X, dan (2) mengetahui efek potensial dari pengembangan media pembelajaran menggunakan powerpoint disertai visual basic for application materi jarak pada bangun ruang di kelas X. Jenis penelitian yang digunakan adalah Design Research tipe Development Study. Subjek penelitian ini adalah siswa kelas X SMA Negeri 4 Palembang tahun ajaran 2014/2015. Teknik pengumpulan data adalah dengan walkthrough,, tes, angket, dan wawancara. Hasil dari penelitian ini adalah: (1) Penelitian ini telah menghasilkan media pembelajaran menggunakan powerpoint disertai visual basic for application materi jarak pada bangun ruang yang valid dan praktis. (2) media pembelajaran yang dikembangkan memiliki efek potensial terhadap hasil belajar dan sikap positif siswa.
Kata Kunci : Pengembangan, Media Pembelajaran, Powerpoint, Jarak pada Bangun Ruang
This design research typed Development Study aims to: (1) develop valid and practical learning media using power point and visual basic for application for Distance in three-dimensional objects topic in class X, and (2) to determine the potential effects media developed by using power point and visual basic for application for Distance in three-dimensional objects topic in class X. The subjects were students of class X SMA Negeri 4 Palembang academic year 2014/2015. Data were collected through walkthrough, tests, questionnaires, and interviews. The study results show that (1) This research has produced valid and practical learning media using power point and visual basic for application for Distance in three-dimensional objects topic; (2) the learning media developed has potential effects on students’ learning outcomes and students’ positive attitude.
Keywords: development, learning media, powerpoint, distance in three-dimensional object