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INDONESIA
Indonesian Journal of Mathematics Education
Published by Universitas Tidar
ISSN : 26543907     EISSN : 2654346X     DOI : -
Core Subject : Education,
Education Mathematics
Indonesian Journal of Mathematics Educations is a scientific journal published by Mathematics Education Study Program, Faculty of Education and Teacher Training, Universitas Tidar. IJOME publishes the research issues on mathematics and mathematics education, could be experiments, research and development, or class action research. This journal is published twice a year in April and October.
Arjuna Subject : -
Articles 39 Documents
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Persamaan Parametrik Jejak Spirograf Persegi dengan Geogebra Prihadi Kurniawan
Indonesian Journal of Mathematics Education Vol 1, No 1 (2018): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v1i1.924

Abstract

Spirograf adalah mainan yang dapat digunakan untuk menggambar pola yang indah dengan memutar lingkaran kecil dengan gerigi di bagian luarnya, yang disebut roda, di dalam lingkaran yang lebih besar dengan gerigi di bagian dalamnya, yang disebut cincin. Spirograf yang orisinil terdiri dari roda dan cincin dalam berbagai ukuran. Setelah roda berputar di dalam cincin, akan dihasilkan suatu kurva matematika berpola yang luar biasa. Setiap kali roda atau cincin diubah, itu akan menghasilkan kurva yang berbeda. Kurva-kurva tersebut dapat ditentukan oleh persamaan parametrik yang spesifik. Artikel ini membahas tentang persamaan parametrik spirograf ketika lingkaran cincin diubah menjadi cincin persegi. Geogebra digunakan untuk menggambarkan kurva spirografnya. Ide pembentukan persamaan parametrik spirograf ini membantu siswa untuk memahami topik tentang persamaan parametrik dalam mata kuliah kalkulus dan untuk menunjukkan bagaimana geogebra bekerja.
Mathematics Self-Efficacy Scale Based on Computer Heru Sukoco; Imam Suharjo
Indonesian Journal of Mathematics Education Vol 2, No 1 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i1.1248

Abstract

The results of the PISA (Program for International Student Assessment) survey in 2012-2015 on the achievement of mathematical competencies of Indonesian students showed a significant increase, but the overall achievement was still below the average of the countries belonging to the Organization for Economic Co-operation and Development (OECD). Furthermore, the results of the Trends in International Mathematics and Science Study (TIMSS) report showed that many students like and feel good about mathematics, but their confidence in their mathematical abilities was quite low. Many studies reveal the close association of Mathematics Self-Efficacy (MSE) with the performance/achievement of students' mathematical competencies. In 2015, the PISA survey was done using computerization except in 15 countries, one of them was in Indonesia. Therefore, the results of this study are to produce the first computer-based MSE scale developed in Indonesia.
Hill Cipher Cryptosystem over Complex Numbers Maxrizal Maxrizal
Indonesian Journal of Mathematics Education Vol 2, No 1 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i1.1217

Abstract

The Hill Cipher cryptosystem is a symmetry key cryptosystem. This cryptosystem uses the concept of integer over modulo p. This cryptosystem uses a matrix K as a secret key. We must choose the key matrix K which has an inverse in modulo p. This secret key matrix will be used by the sender and recipient of the message to encrypt and descript the message. For this reason, this paper will discuss the generalization of Hill Cipher using matrices over complex numbers. Calculation of determinants and inverses of the matrix K will adopt a system of determinant and inverse calculations on Hill Cipher. The results show that the proposed cryptosystem scrambles the plaintext.
Pengembangan Bahan Ajar Matematika Berbasis Masalah Berorientasi pada Kemampuan Pemecahan Masalah Matematis dan Prestasi Belajar Matematika Jeaniver Yuliane Kharisma; Aslim Asman
Indonesian Journal of Mathematics Education Vol 1, No 1 (2018): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v1i1.926

Abstract

Penelitian ini bertujuan untuk menghasilkan bahan ajar matematika berbasis masalah yang berorientasi pada kemampuan pemecahan masalah matematis dan prestasi belajar matematika, yang valid, praktis, dan efektif, pada materi lingkaran VIII SMP. Penelitian ini merupakan penelitian pengembangan. Model pengembangan yang dikembangkan diadaptasi dari model pengembangan ADDIE. Tahap-tahap yang dilakukan meliputi: tahap analisis, tahap perencanaan, tahap pengembangan, tahap implementasi, dan tahap evaluasi. Instrumen penelitian yang digunakan adalah lembar validasi, lembar penilaian guru, lembar penilaian siswa, lembar observasi keterlaksanaan pembelajaran, tes kemampuan pemecahan masalah matematis, dan tes prestasi belajar matematika. Hasil validasi menunjukkan bahwa buku panduan guru dan buku siswa yang dikembangkan berada dalam kategori sangat baik dan baik. Hasil uji coba menunjukkan bahwa buku panduan guru dan buku siswa berada dalam kategori baik. Hasil uji coba berdasarkan tes kemampuan pemecahan masalah dan prestasi belajar matematika mencapai hasil masing-masing 72% dan 75% serta menunjukkan bahwa buku panduan guru dan buku siswa berada dalam kategori baik. Oleh karena itu, disimpulkan bahwa bahan ajar matematika berbasis masalah yang dikembangkan memiliki kualitas yang valid, praktis, dan efektif ditinjau dari kemampuan pemecahan masalah matematis dan prestasi belajar matematika siswa.
Considering Students’ Prior Knowledge in Culture-based Contextual Learning Media Application: How Effective It is to Support Students’ Mathematics Learning Outcome Zainnur Wijayanto; Rahayu Retnaningsih
Indonesian Journal of Mathematics Education Vol 2, No 1 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i1.1207

Abstract

The present study aims to describe the effectiveness of culture-based contextual mathematics learning media by considering students’ prior knowledge. This is a quasi-experimental study that employed pretest-postest non-equivalent group design. Eight graders of a Junior High School (JHS) in Yogyakarta were involved as experimental and control groups.  The data were obtained through a test to find out the students' mathematics learning achievements, while the data analysis technique used is the analysis of two-way variance with unequal cells. The results indicate that by considering the students’ previous knowledge, the culture-based contextual mathematics learning media is more effective than the conventional ones.
Enhancement of Concentration and Mathematics Learning Outcomes Using Discovery Learning Method on Transformation Topic Sri Rochani
Indonesian Journal of Mathematics Education Vol 2, No 2 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i2.1666

Abstract

This study aims to examine whether the actions of educators in using discovery learning models can improve concentration and mathematics learning outcomes in the material of transformation in class IX D of one of the junior high schools in Magelang. This research is a participant class action research. While the models used are the Stephen Kemmis and Robin McTaggart Model. The subjects of this study were students of class IX D of one of the junior high schools in Magelang in the academic year 2018/2019. This research consists of two cycles, namely cycle 1 and cycle 2. The material provided in this study is a transformation topic that includes translation, reflection, rotation, and dilation. Data on the concentration of mathematics learning are obtained using observation sheets. Data on mathematics learning outcomes were obtained using a theory test sheet. The data obtained were analyzed quantitatively and qualitatively. The results of the study show that: (1) learning using discovery learning  models can increase student learning concentration; (2) learning using discovery learning models can improve student learning outcomes; and (3) learning using discovery learning models can increase the concentration of learning and the learning outcomes of IX D students of junior high school.
Efforts to Increase The Students' Level of Confidence in Mathematics Learning Using Numbered Head Together (NHT) Model Zuida Ratih Hendrastuti
Indonesian Journal of Mathematics Education Vol 2, No 2 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i2.1905

Abstract

This study aims to improve the students’ confidence through the Numbered Head Together (NHT) learning model in learning mathematics in class VIII D of SMP N 3 Depok. This research is a classroom action research (CAR) using NHT model. The stages in this study consist of planning, action, observation, and reflection. The research subjects include 32 students. The data collection techniques used are a test, questionnaires, and observation. The data collection instruments used are written tests to measure the students’ cognitive learning outcomes, self-confidence questionnaire, and observation sheets to determine the feasibility of learning using the NHT technique. The data analysis technique uses percentages for the learning outcomes using observation sheets, data analysis of descriptive study completeness describing individual and group students’ outcomes, and scoring for self-confidence questionnaire using Likert scale with five criteria intervals. The results of the analysis of this research indicate that mathematics learning increases student confidence by 10.22%. The students’ outcomes (cognitive) have decreased, and one of them is the learning material that is more difficult than the cycle I. The basic competence for cycle I is to complete SPLDV (Sistem Persamaan Linear Dua Variabel) while for cycle II, the basic competence is to make and complete mathematical models of problems related to SPLDV. The implementation of learning using the NHT learning model has increased from 81.3% in the first cycle to 96.9% in the second one. It can be concluded that the NHT cooperative learning model is proven to improve the students’ confidence.
Analysis of Junior High School Students’ Errors in Solving Mathematical Problems for The Topic of Circle Arief Budi Wicaksono; Adhetia Martyanti
Indonesian Journal of Mathematics Education Vol 2, No 2 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i2.1888

Abstract

This research aims to determine the type and percentage of errors that junior high school students do in solving math problems on the subject of the circles. This research is an expost facto research.  The population of this study is all students of grade VIII of one of the junior high schools in Purworejo as many as 182 students. Then by randomly selecting from the entire student, selected as many as 94 students as research samples. Research instruments are used in the form of diagnostic tests. Based on the results of the research, the students’ errors have done in solving math problems on the topic of circle are errors in comprehension (16,93%), transformation (27,39%), operation (26,30%), and drawing conclusion (71,55%). So, the most dominant error done by grade VIII students of one of the junior high schools in Purworejo is an error in the drawing of conclusions. Based on the results of this study, teachers need to design more effective learning to minimize the errors that occur, especially errors in drawing conclusions.
Public Key Cryptosystem Based on Polynomial Composition Maxrizal Maxrizal; Baiq Desy Aniska Prayanti
Indonesian Journal of Mathematics Education Vol 2, No 2 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i2.1813

Abstract

The public key cryptosystem is an extension of an asymmetric key cryptosystem. The public key cryptosystems have been developed based on the concepts of matrix, polynomial and polynomial decomposition. In this study, we will introduce the public key cryptosystem over polynomial composition. This research is a literature study. The results show that the polynomial composition can be used in public-key cryptosystems by modifying special functions to apply commutative properties.
The Use of Fractional Manipulative Media to Increase The Conceptual Understanding of Elementary School Students Rostien Puput Anggoro
Indonesian Journal of Mathematics Education Vol 2, No 2 (2019): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v2i2.1825

Abstract

Learning mathematics at the elementary school level is very important in planting basic concepts about the concepts being taught. One effective way of learning mathematics in planting these concepts is by using manipulative media. Based on the results of observations of researchers in class II C of Muhammadiyah Elementary School, Nitikan, Yogyakarta obtained: 1) mathematics learning rarely uses the media, 2) the subject of fractions is difficult material with marked results of the pretest only 53.1% who reach minimum completeness criterion. This study aims to describe learning using manipulative media to improve understanding of the subject matter of fractions. This study uses a Classroom Action Research (CAR) design. The subjects of this study are class II C of Muhammadiyah Elementary School, Nitikan, amounting to 32 students. Data collection techniques used are observation and test. Data analysis in this classroom action research is quantitative and qualitative data analysis. The results showed the ability to understand the concept of mathematics in the first cycle is 62,5 % with good criteria and the second cycle is 78.1 %  with good criteria. The results of observations of the feasibility of using manipulative media in learning mathematics on the subject matter of fractions seen based on the activities of teachers and students during the learning process. Based on research that has been done, it can be concluded that the ability to understand mathematical concepts and student learning activities in class II C of SD Muhammadiyah Nitikan increases after the application of learning using manipulative media.

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