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JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA
Published by Universitas PGRI Yogyakarta
ISSN : 24073792     EISSN : 25492616     DOI : -
Core Subject : Education,
Education
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika, e-ISSN: 2549-2616, p-ISSN: 2407-3792 Is an information container containing scientific articles of research, literature studies, ideas, the application of theory, the study of critical analysis, and Islamic studies in the field mathematics and mathematics education. DERIVAT JOURNAL is published twice in ane year, January-June and August to December period, published by Mathematics Education Study Program of Universitas PGRI Yogyakarta.
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Articles 290 Documents
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Mathematical Concepts In The Implementation of Tawaf According to The Quran Hikmah Suciani; Rosyidi, Muhib
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2024): Jurnal Derivat (April 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v11i1.5763

Abstract

The Koran covers mathematics in detail, especially multiplication and calculating numbers in various situations and circumstances. Mathematics as the queen of science has an important role as a means of translating concepts in science. so science and mathematics are interconnected and related. Science and mathematics are connected to the verses of the Qur'an. The verses in the Qur'an as the source of everything include technology, science, economics and provide the meaning that all branches of knowledge can be sought for truth from their source in the Qur'an. The method used in this journal uses qualitative research methods with the type of research being literature study. An example of a mathematical concept that has a correlation with the source of the Al-Qur'an is regarding the mathematical concept in the implementation of tawaf, namely when the congregation circles the Kaaba to form a flat circular shape. Keywords: Circle, hajj, phi, tawaf
Etomatematika: Eksplorasi Konsep Transformasi Geometri Pada Batik Banyumasan Setyaningrum, Agustina; Kusno, Kusno
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.5837

Abstract

Culture and mathematics are two things that are interrelated, but most people do not realize that they have linked mathematics to their habits and culture. Banyumas is an area in Central Java that has many cultures, and one of these cultures is Banyumasan batik. Banyumasan batik is very famous in Banyumas because it is used by local people as traditional clothing and is even worn by employees on certain days. However, the use of Banyumasan batik is limited to clothing and has not been used in learning, even though the learning material could be more interesting. The aim of this research is to reveal mathematical elements, especially geometric transformations in Banyumasan batik. An ethnographic approach was used in this research, and data collection was carried out through observation, in-depth interviews, documents, and ethnographic notes. Data analysis is based on the meaning and translation of the phenomena found, as well as the informants' understanding of these phenomena and their original language, which is combined verbally with the researcher's language after in-depth understanding through group discussions. The research results show that Banyumasan batik contains geometric transformation elements that can be used in mathematics learning. Keywords: Banyumasan Batik, Culture, Geometry Transformation, Math
Etnomatematika: Eksplorasi Konsep Geometri Pada Bangunan Masjid Muhammad Cheng Hoo Purbalingga Latifah Fitriana Rahmah; Kusno, Kusno
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2024): Jurnal Derivat (April 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v11i1.5881

Abstract

There is a big difference between the mathematics problems taught in school and the mathematics that exists in society. As a result, educators face difficulties in modeling formal mathematical concepts with mathematical problems that occur in everyday life. By connecting mathematics learning with culture it will help the learning process. This will make it easier for educators to understand the topics being studied because they are relevant to everyday life. The aim of this research is to explore the concept of geometry in the Muhammad Cheng Hoo Purbalingga mosque. Data collection methods use interviews, observation and documentation. The camera is the tools and materials used. The data presentation is given in the form of images, along with a description of the ethnomathematics values that exist in the mosque. This research shows that the Muhammad Cheng Hoo Mosque in Purbalingga combines three cultural elements, namely Chinese, Arabic and Javanese. The results of this research show that the Muhammad Cheng Hoo mosque contains geometric elements, namely flat shapes, spatial shapes and transformations. This research is recommended for use as mathematics learning material. Keywords: Mathematics, Ethnomathematics, Muhammad Cheng Hoo Mosque
Kemampuan Computational Thinking Materi Fungsi Eksponensial Menggunakan Problem Based Learning Hauda, Nabilah; Mulyono, Budi; Hapizah
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2024): Jurnal Derivat (April 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v11i1.6129

Abstract

The development of technology in the 21st era is growing very rapidly, especially in the field of education. Learners are required to be able to hone skills, one of which is Computational Thinking (CT). This study aims to describe the emergence of indicators of students' CT ability through problem-based learning on exponential functions. This research is a descriptive qualitative research with the research subject, namely class X students of SMA Negeri 10 Palembang as many as 50 students with the focus of the subject, namely 3 students who have high, medium, and low abilities.. This research was conducted through preparation, implementation, and data analysis stages. The data in this study were collected through written tests and interviews with the aim of measuring students' CT abilities. The results obtained will be analyzed through three stages, namely data reduction, data presentation, and conclusion drawing. The results showed that the indicators of students' CT abilities on exponential function material were well seen, namely decomposition, pattern recognition, and abstraction. As for algorithm indicators, students are still not precise in solving problems systematically with the right answers. The development of technology in the 21st era is growing very rapidly, especially in the field of education. Learners are required to be able to hone skills, one of which is Computational Thinking (CT). This study aims to describe the emergence of indicators of students' CT ability through problem-based learning on exponential functions. This research is a descriptive qualitative research with the research subject, namely class X students of SMA Negeri 10 Palembang as many as 50 students with the focus of the subject, namely 3 students who have high, medium, and low abilities.. This research was conducted through preparation, implementation, and data analysis stages. The data in this study were collected through written tests and interviews with the aim of measuring students' CT abilities. The results obtained will be analyzed through three stages, namely data reduction, data presentation, and conclusion drawing. The results showed that the indicators of students' CT abilities on exponential function material were well seen, namely decomposition, pattern recognition, and abstraction. As for algorithm indicators, students are still not precise in solving problems systematically with the right answers.  Keywords: Computational Thinking Ability, Exponential Function, Problem Based Learning.
Pembentukan Portofolio Optimal Saham Dengan Menggunakan Model Portofolio Mean-Variance-Skewness-Kurtosis Gubu, La; Rashif Hilmi, Muhamad
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.6218

Abstract

This paper presents the development of Markowitz's classic Mean-Variance (MV) portfolio model, namely the Mean-Variance-Skewness-Kurtosis (MVSK) portfolio model. The MVSK portfolio model aims to overcome the fact that most stock returns in the capital market do not follow a normal distribution, and there are skewness and excessive kurtosis. The solution of the MVSK portfolio model is determined using the Newton-Raphson method. To see the advantages of the MVSK model, an empirical study was carried out on a portfolio construction using the four best stocks on the Indonesian Stock Exchange, which are included in the LQ45 index group for February-July 2023. The empirical study shows that for risk aversion   the performance of portfolios formed using the MVSK model outperforms portfolios formed using the classical MV model, while for risk aversion   the performance of portfolios formed using the classic MV model outperforms portfolios formed using the MVSK model. In addition, it was also found that for risk aversion , the weight and performance of the portfolio formed using the MVSK model were close to the weight and performance of the portfolio formed using the classic MV model. Keywods: portofolio, return, risk, portfolio performance, MVSK.
Analisis Hambatan Belajar Pada Pembuktian Induksi Matematika Dalam Kemampuan Pemahaman Matematis Mahasiswa sholihah, wildatus
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.6225

Abstract

This article discusses the analysis of learning obstacles among students in mathematical induction proof. Mathematical induction proof is a crucial topic in developing students' logical and problem-solving skills, but many students face obstacles in comprehending it. Learning obstacles are analyzed based on the question indicators provided. Mathematical understanding in this research includes instrumental understanding and relational understanding. The study was conducted on 22 students from class 5A in the Mathematics Education Program at UIN Sunan Gunung Djati Bandung. The method used is descriptive qualitative based on the analysis of student responses. The research results consist of learning obstacles based on question indicators and indicators of mathematical understanding ability. Keyword: Learning Obstacles, Mathematical Induction, mathematical understanding ability.
Peningkatan Prestasi dan Kemandirian Belajar Matematika Melalui Model Pembelajaran STAD Menggunakan Media Berbasis Aplikasi Canva Azzahra, Fatimah; Muslim, Arifin
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.6271

Abstract

This study was conducted to apply the STAD (Student Team Achievement Division) type cooperative learning model using Canva application-based media to improve achievement and independence in learning media-assisted mathematics through Canva applications for fourth-grade students of SDN Gunungmujil. The procedure used in this research is classroom action research consisting of 2 cycles where each cycle consists of planning, implementation, observation, evaluation, and reflection stages. The assessment instruments used in this research are teacher observation sheets and student observation sheets, as well as evaluation questions, while LKPD is used during discovery activities. The results of cycle I and cycle II showed that the level of learning completeness increased by 73.83% and 93.36%, respectively. The increase in the level of learning completeness was accompanied by an increase in classical learning achievement, at least 75% of students achieved a score ≥ 70. The results of the research on student learning independence also showed an increase from cycle I of 61.07% and the results of cycle II to 86.25%. The conclusion of this research is that there is an increase in learning achievement and learning independence of students using the STAD-type cooperative learning model through Canva application-based media. STAD model learning must continue to be implemented to improve the achievement and learning independence of elementary school students. Keywords: Learning Independence, Canva Application Based Media, STAD Learning Model, Learning Achievement
Pengembangan Model Prediksi Penjualan Ice Cream UMKM Jogja Menggunakan Metode Autoregressive Muhammad Rais Ramadhani; Nurmalitasari; Nurchim
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.6289

Abstract

There are Micro Small Medium Enterprises (MSMEs) Jogja is included in the new category because of its launch in early 2023, but it already has a total turnover of hundreds of millions. This MSME focuses on enlisted Ice Cream sales with dozens of Ice Cream menu variants. The unstable level of sales originating from trends or seasons becomes a separate enemy for business actors. This study aims to carry out the permanent sales of MSME Jogja using the autoregressive method. The steps taken are (1) data collection, (2) Calculation of ACF and PACF, (3) data processing, and (4) calculation of error values. The data used in the current study is the 8 -8-month sales transaction data. The results showed that the autoregressive method can predict the sale of MSME Jogja with a low error value of MAE = 0.18 and RMSE = 0.14. With this, Ice Cream sales predictions using the Autoregressive Method can be accepted, which results in sales predictions in the following month, May 2024, as many as 1,118 products were sold. Suggestions for further researchers to research each existing menu variant. Keywords: Prediction, Sales, Ice Cream, Autoregressive
Efektivitas Model Numbered Head Together (NHT) Berbantuan Media Video Animasi Terhadap Hasil Belajar Matematika SD Purbo Ningrum, Dian; Sutriyani, Wulan
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.6347

Abstract

The low achivement of students in mathematics is often caused by a lack of innovation and variety implemented by teachers in the use of teaching models and media. As a result, students become bored with learning mathematics, and their learning outcomes decline. Additionally, students’ understanding of mathematical concepts remains insufficient. This study aims to determine the effectiveness of using the Numbered Head Together (NHT) teaching model supported by animated video media on mathematics learning outcomes, specifically in the topic of whole number operations in garde IV at SD Negeri 6 Bulungan, and to test the difference in learning outcomes before and after using the NHT model. This research uses a quantitative approach with a Pre-Experimental design of the One Group Pretest-Posttest type. The sample consist of 15 students. The result show Tcount = 7,946 and Ttable = 2,144 at α = 0,05. Based on the criterion Tcount > Ttable, H0 is rejected and Ha is accepted. Additionally, descriptive analysis shows that the average pretest score of students was 59,00 which increased to 78,33 in the posttest. Therefore, the use of the Numbered Head Together (NHT) teaching model supported by animated video media is effective for elementary school students mathematics learning outcomes. Keywords: NHT, Learning Outcomes, Animated Video
Enhancing Mathematical Understanding Through Ethnomathematics: A Study Of The Pusaka Monument's Geometric Structures Atikah Mufidah; Ishartono, Naufal; Masduki, Masduki
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.6367

Abstract

Several previous studies have examined the ethnomathematical exploration of cultural sites. However, there has been no research specifically exploring the Tugu Pusaka. This study explores the ethnomathematics found in the Pusaka Monument in Selogiri, Wonogiri Regency. Ethnomathematics examines how cultural groups understand and use mathematical concepts. The Pusaka Monument, with its geometric structure, offers numerous aspects for study within this context. The objective of this research is to describe the mathematical concepts present in the Pusaka Monument and to integrate these concepts into mathematics education. The research employs a survey method conducted at the Pusaka Monument site, with purposive sampling to ensure relevance and significance. The study follows a series of steps: literature review, field data collection, and descriptive and factual analysis of findings. Data collection involved observation, interviews, and documentation. The data were analyzed qualitatively, focusing on identifying geometric concepts within the monument's structure. This research aims to enhance students' understanding of mathematics through the integration of cultural elements and to promote the preservation of Indonesia's cultural heritage through ethnomathematics. The findings are expected to contribute to the development of a more contextual and culturally-based mathematics curriculum, enriching both mathematical education and cultural awareness among students. Keywords: Ethnomatematika, Mathematics Education, Pusaka Monument Selogiri, Cultural Heritagez

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