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Jurnal Gantang
Published by Universitas Maritim Raja Ali Haji
ISSN : 25030671     EISSN : 25485547     DOI : https://doi.org/10.31629/jg
Core Subject : Education,
Education Mathematics
Jurnal Gantang is a peer-reviewed journal. Jurnal Gantang is published two numbers per year by Raja Ali Haji Maritime University, Tanjungpinang, Riau Islands, Indonesia. The articles written for Jurnal Gantang are state-of-the-art research articles in the field of Mathematics Education. Starting in 2022, Jurnal Gantang will be published in May and November twice a year. Jurnal Gantang publishes scientific writings on the results of thoughts, very carefully selected literature studies, and research in the field of Mathematics Education. Jurnal Gantang is a journal with a blind review system that is an essential aspect of disseminating knowledge. The realization of a scientific approach can be supported by writing the results of a blind review. Jurnal Gantang accommodates the results of studies and research in the fields of Mathematics Education with various research frames such as Research development/R&D Classroom action research Educational Design Research Experiment with different types Qualitative Studies (Investigative, Analytical, Descriptive Studies, and the like) Ethnographic studies Literature/Library Studies Other research with a quantitative approach The topics raised can be: Learning innovation and the use of ICT in supporting the learning process Mathematics Learning Context and Media Innovation Strategies and Approaches to Learning Mathematics Mathematical Literacy and Numeracy Indonesian Realistic Mathematics Education (IRME) Ethnomathematics Misconceptions in Mathematical Topics Mathematics Learning Based on Cultural Potential and Local Wisdom Enrichment of Mathematics Teaching Materials Mathematics Learning Evaluation Mathematics Education Curriculum and Policy Learning Mathematics in College Development of Science and Technology in Mathematics STEM, STEAM, and Lesson Study And others
Arjuna Subject : Ilmu Sosial - Pendidikan
Articles 6 Documents
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Search results for , issue "Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajaran" : 6 Documents clear
ALJABAR: TANTANGAN BESERTA PEMBELAJARANNYA Ariyadi Wijaya
Jurnal Gantang Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajaran
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1033.685 KB) | DOI: 10.31629/jg.v1i1.1

Abstract

Kesalahan atau kesulitan belajar bisa menjadi sumber penting dalam pembelajaran. Terdapat beberapa jenis kesulitan belajar aljabar yang dialami siswa, yaitu: (a) kesalahan dalam memahami lambang ‘=’; (2) tendensi penggunaan prosedur aritmatika dan pengabaian variabel; (3) generalisasi; (4) abstraksi; dan (5) pemaknaan grafik. Dengan mengetahui jenis kesulitan belajar tersebut maka guru bisa merancang pembelajaran yang tepat. Lebih lanjut lagi, jika merujuk pada pendidikan matematika realistik, terdapat empat pandangan tentang belajar aljabar, yaitu: (1) aljabar sebagai aktivitas manusia (algebra as human activity); (2) aljabar sebagai aktivitas otak (algebra as brain activity); (3) aljabar sebagai aktivitas personal (algebra as personal activity); dan (4) aljabar sebagai aktivitas yang bermakna (algebra as meaningful activity). Kata kunci: kesulitan belajar aljabar, pembelajaran aljabar Errors or difficulties in learning could be an important source of learning. There are several types of students’ difficulties in learning algebra, namely: (1) Errors in understanding the symbol ‘=’; (2) Tendency to use arithmetic procedures and to ignore variables; (3) Generalization; (4) Abstraction; and (5) Graph interpretation. Teacher can design appropriate learning by identifying those students’ difficulties. Furthermore, there are four views about learning algebra referring to Realistic Mathematics Education: 1) algebra as human activity; (2) algebra as brain activity; (3) algebra as personal activity; (4) algebra as meaningful activity. Keywords: difficulties in learning algebra, algebra learning.
THE INSTRUCTION TO OVERCOME THE INERT KNOWLEDGE ISSUE IN SOLVING MATHEMATICAL PROBLEM Febrian Febrian
Jurnal Gantang Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajaran
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (355.219 KB) | DOI: 10.31629/jg.v1i1.2

Abstract

One characteristic of typical mathematical problem is that it requires bunch of relevant prior knowledge. This knowledge is built consecutively and is recalled whenever needed to promote student to solve the problem. The process undertaken by the solver to utilize existing relevant prior knowledge while solving the problem is called access. However, this access is possible subject to disturbance for some reasons. This literature study addresses some factors that can distract access: factor related to metaprocess and factor related to deficit structure. The variants included in both factors have been proved through research as the contributors of the accessibility of relevant prior knowledge. Knowledge that cannot be accessed is called inert knowledge, the main reason for why solver face the difficulty to find the answer to given mathematical problem. The explanation leads to the suggestion of how to tackle the inertia of particular knowledge. One of them are through the instruction setting. Realistic Mathematics Education as one of approaches in learning can be a possible alternative for the issue of inert knowledge. Keywords. Mathematical problem solving, prior knowledge, access, inert knowledge, Realistic Mathematics Education
ANALISA FUNGSI KARAKTERISTIK SEBAGAI PENCIRI DISTRIBUSI PELUANG Alona Dwinata
Jurnal Gantang Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajaran
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (557.395 KB) | DOI: 10.31629/jg.v1i1.3

Abstract

Fungsi karakteristik dari sebuah peubah acak mempunyai peranan penting dalam mengkaji kekonvergenan suatu fungsi distribusi. Salah satu teorema penting dalam kekonvergenan suatu fungsi distribusi adalah Teorema Limit Pusat Le’vy. Teorema Limit Pusat Le`vy menjelaskan bahwa jumlah dari peubah acak yang saling bebas, berdistribusi identik, dan mempunyai variansi akan mendekati distribusi Normal untuk n yang cukup besar. Jika (?n) merupakan barisan fungsi karakteristik dari barisan fungsi distribusi (Fn) yang saling bebas dan berdistribusi identik dan ? merupakan fungsi karakteristik dari fungsi distribusi F, maka apakah jika barisan (Fn) konvergen ke F akan diikuti kekonvergenan (?n) ke ??. Berdasarkan kajian pustaka diperoleh jawaban bahwa kekonvergenan barisan fungsi distribusi (Fn) ke fungsi distribusi F akan diikuti kekonvergenan (?n) ke ? dengan syarat : FnF syarat perlu ? kontinu pada t = 0 syarat cukup. Kata Kunci : Fungsi distribusi, Fungsi Karakteristik, Kekonvergenan Characteristics function from a random variable has a crucial role in examining the convergence of a particular distribution function. One of important theorems in convergence of a distribution function is theorem of Le’vy’s central limit. It implies that sum of some independently random variables, identically distributed, and having variance, will approach normal distribution for great enough value of n. Given as series of characteristics function from series of distribution function which is independent each other and identically distributed and as characteristics function of distribution function F, then if given series convergent to F, will it be implied by convergence of to ?. Based on literature study, it is obtained that the convergence of series of distribution function to distribution function F will be followed by the convergence of to under these following conditions: FnF necessary condition ? continue on t = 0 sufficient condition. Keywords: distribution function, characteristics function, convergence
KEMAMPUAN BERPIKIR TINGKAT TINGGI SISWA KELAS XI DALAM PEMBELAJARAN TRIGONOMETRI BERBASIS MASALAH DI SMA NEGERI 18 PALEMBANG Etika Prasetyani; Yusuf Hartono; Ely Susanti
Jurnal Gantang Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajaran
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (268.822 KB) | DOI: 10.31629/jg.v1i1.4

Abstract

Penelitian ini bertujuan untuk mendeskripsikan tentang kemampuan berpikir tingkat tinggi siswa pada pembelajaran matematika berbasis masalah. Penelitian ini merupakan jenis penelitian deskriptif dengan subjek penelitian yaitu siswa kelas XI MIPA 1 SMA Negeri 18 Palembang yang berjumlah 30 orang. Proses pembelajaran berlangsung sesuai dengan karakteristik dan langkah-langkah pembelajaran berbasis masalah. Teknik pengumpulan data yang digunakan adalah tes tertulis yang terdiri atas tiga soal dan wawancara untuk memperoleh data tambahan. Berdasarkan hasil penelitian, diperoleh hasil kemampuan berpikir tingkat tinggi siswa dalam pembelajaran matematika berbasis masalah di kelas XI MIPA 1 SMAN 18 Palembang adalah terkategori cukup dengan rincian sebagai berikut: persentase siswa yang memiliki kemampuan berpikir tingkat tinggi sangat baik adalah sebesar 16,667%. Selanjutnya, 26,667% memiliki kemampuan berpikir tingkat tinggi dengan kategori baik; 30,000% memiliki kemampuan berpikir tingkat tinggi terkategori cukup; 26,667% memiliki kemampuan berpikir tingkat tinggi terkategori kurang; dan tidak ada yang memiliki kemampuan berpikir tingkat tinggi dengan kategori sangat kurang. Indikator menganalisis memiliki persentase kemunculan tertinggi yaitu sebesar 72,500%. Kemudian, kemunculan pada indikator mengevaluasi adalah sebesar 70,000%, dan indikator dengan persentase kemunculan terendah adalah mengkreasi yaitu sebesar 35,417%. Kata kunci: kemampuan berpikir tingkat tinggi, pembelajaran trigonometri, berbasis masalah This study is descriptive research aiming to describe students’ higher order thinking skills in mathematics problem-based learning. Total of 30 students of class XI Mathematics 1 SMA Negeri 18 Palembang were selected as research subjects. The learning process was done in accordance with the characteristics and steps of problem-based learning. Data were collected through written test consisting of three questions and interviews to obtain additional data. The results of the study shows that students’ higher order thinking skills in mathematics problem-based learning in class XI MIPA 1 SMAN 18 Palembang is categorized enough: 16,67% of students are categorized excellent; 26.667% are categorized good; 30.00% are categorized enough; 26.667% are categorized low; and no one are in very poor category. The most frequent indicator of higher order thinking skills appeared, 72.50%, is analyzing and then 70.00% evaluating. Meanwhile, the least frequent indicator appeared is creating, 35.417%. Keywords: higher order thinking skills, trigonometry problem based learning
PENGEMBANGAN MEDIA PEMBELAJARAN MENGGUNAKAN POWERPOINT DISERTAI VISUAL BASIC FOR APPLICATION MATERI JARAK PADA BANGUN RUANG KELAS X Siti Marfuah; Zulkardi Zulkardi; Nyimas Aisyah
Jurnal Gantang Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajaran
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (788.714 KB) | DOI: 10.31629/jg.v1i1.5

Abstract

Penelitian 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
FORMULASI MODEL PERMUTASI SIKLIS DENGAN OBJEK MULTINOMIAL Sukma Adi Perdana
Jurnal Gantang Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajaran
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (161.445 KB) | DOI: 10.31629/jg.v1i1.6

Abstract

Penelitian 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 permutation

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