Students’ Combinatorial Thinking Processes in Solving Mathematics Problem

Uripno, Gusti; Rosyidi, Abdul Haris

doi:10.26740/jrpipm.v2n2.p80-92

Cited by 7 publications

(9 citation statements)

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“…Kombinatorik memegang kunci utama dalam memecahkan banyak masalah enumerasi dalam matematika diskrit. Kombinatorik merupakan salah satu metode dalam enumerasi (Uripno & Rosyidi, 2019). Budayasa (2008) Peneliti menggunakan masalah kombinasi dalam penelitian ini.…”

Section: Pendahuluanunclassified

“…Berpikir kombinatorik merupakan cara berpikir yang menggabungkan antara ungkapan/rumus, proses perhitungan, dan hasil/kesimpulan, ketiga proses tersebut saling berhubungan dan berlangsung secara sistematis (Lockwood, 2013 (Uripno & Rosyidi, 2019). Serangkaian hasil (set of outcomes) juga salah satu strategi yang muncul di kedua peserta itu berarti mudah dilakukan tanpa informasi lebih lanjut tentang metode tersebut.…”

Section: Pendahuluanunclassified

“…Serangkaian hasil (set of outcomes) juga salah satu strategi yang muncul di kedua peserta itu berarti mudah dilakukan tanpa informasi lebih lanjut tentang metode tersebut. Induksi pengadaan serangkaian hasil (set of outcomes) dalam pembelajaran dapat dilakukan dengan menggunakan pendekatan ini (Uripno & Rosyidi, 2019…”

Section: Pendahuluanunclassified

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Struktur Berpikir Kombinatorik Siswa dalam Menyelesaikan Masalah Matematika

Rapanca

Wibowo

Sapti

2020

Jurnal.Pendidik.Surya.Edukasi

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Penelitian ini dilakukan dengan tujuan untuk mendeskripsikan struktur berpikir kombinatorik siswa dalam menyelesaikan masalah matematika. Penelitian ini dilakukan pada kelas XII SMA Negeri 5 Purworejo tahun ajaran 2019/2020 yang sudah menerima materi kaidah pencacahan. Jenis penelitian ini adalah penelitian kualitatif. Teknik dalam pengambilan subjek menggunakan teknik purposive dengan subjek yang terpilih sebanyak dua siswa. Instrumen yang peneliti gunakan yaitu berupa lembar soal yang terdiri dari satu soal yang berkaitan dengan kaidah pencacahan, pedoman wawancara, dan alat bantu rekam. Diberikan satu permasalahan kombinatorik, yaitu masalah yang memuat kombinasi. Teknik pengumpulan data yang digunakan adalah tes, wawancara, dan think aloud. Langkah-langkah dalam menganalisis data adalah reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian diperoleh simpulan sebagai berikut. Struktur berpikir kombinatorik dalam menyelesaikan masalah matematika yakni mendapatkan rumus dari suatu masalah formulas/ekspressions (ungkapan/rumus). Kemudian melakukan perhitungan dari rumus yang sudah didapatkan counting processes (proses perhitungan). Set of Outcomes (seperangkat hasil) digunakan untuk proses perhitungan yang digunakan. Set of Outcomes (seperangkat hasil) dapat dilakukan karena soal yang diberikan masih sederhana

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Section: Pendahuluanunclassified

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Struktur Berpikir Kombinatorik Siswa dalam Menyelesaikan Masalah Matematika

Rapanca

Wibowo

Sapti

2020

Jurnal.Pendidik.Surya.Edukasi

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“…The material in the study is combinatorics (Afifah & Dachi, 2022); (Uripno & Rosyidi, 2019) is a branch of mathematics that is useful for calculating the number of possible arrangements of objects without having to count all possible arrangements. If a set A is divided into subsets addition no longer applies and this must be solved by the principle of inclusion-exclusion.…”

Section: Introductionmentioning

confidence: 99%

Learning Design for Combinatorics with Realistic Mathematics Education (RME) Approach

Dona Fitriawan,

Nurfadilah Siregar,

Endar Sulistyowati

2023

hipotenusa

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The purpose of this research is to design learning combinatorics sub-material faktorial, permutation, combination and chance with RME approach. This research is a qualitative research. With this research method using design research. The research techniques used are measurement techniques, direct observation and documentation with tools in the form of objective tests, observation sheets and document sheets. The research subjects were 2 classes, namely A1 and A2 classes in the Mathematical Statistics course, especially combinatorics material totaling 35 students with the learning trajectory in the form of numbers that were applied alternately to students. The conclusion of this research is obtained: 1) in the faktorial sub-material, students are introduced to the RME approach that 4!=24, 3!=6, 2!=2, 1!=1until it is proven that 1!=1; 2) in the permutation and combination sub-material, students are directed to be examples of the same numbers and letters that form the rules of permutation and combination; 3) in the opportunity sub-material, students are exemplified about coins and dice, both in one, two, and three pieces in the context of the problem.

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“…The material in the study is combinatorics (Afifah & Dachi 2022); (Uripno & Rosyidi 2019) is a branch of mathematics that is useful for calculating the number of possible arrangements of objects without having to count all possible arrangements. If a set A is divided into sets of parts , then the number of elements in set A will be equal to the sum of all elements in each set of parts .…”

Section: ▪ Introductionmentioning

confidence: 99%

Learning Design For Combinatoric With Realistic Mathematics Education Approach

Fitriawan,

Siregar,

Sulistyowati

2023

JPMIPA

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The purpose of this research is to design learning combinatorics sub-material factorial, permutation, combination and chance with RME approach. This research is a qualitative research. With this research method using design research. The research techniques used are measurement techniques, direct observation and documentation with tools in the form of objective tests, observation sheets and document sheets. The research subjects were 2 classes, namely A1 and A2 classes in the Mathematics Education Mathematics Statistics course specifically combinatorics material totaling 35 students with the learning trajectory in the form of numbers that were applied alternately to students. The conclusion of this research is obtained: 1) in the factorial sub-material, students are introduced to the RME approach thatthe permutation and combination sub-material, students are directed to be examples of the same numbers and letters that form the rules of permutation and combination in the opportunity sub-material, students are exemplified about coins and dice, both in one, two, and three pieces in the context of the problem.

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Students’ Combinatorial Thinking Processes in Solving Mathematics Problem

Cited by 7 publications

References 0 publications

Struktur Berpikir Kombinatorik Siswa dalam Menyelesaikan Masalah Matematika

Struktur Berpikir Kombinatorik Siswa dalam Menyelesaikan Masalah Matematika

Learning Design for Combinatorics with Realistic Mathematics Education (RME) Approach

Learning Design For Combinatoric With Realistic Mathematics Education Approach

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