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JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA

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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 281 Documents

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Pengembangan E-modul Berbantuan Software Algebrator pada Materi Bilangan Berpangkat dan Bentuk Akar Kelas X SMK Mei Yuriska Putri; Leo Adhar Effendi; Sri Rezeki; Endang Istikomah
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

The use of technology in education has a significant impact in educating and educating the nation's life, and can help create new innovations. One of the innovations created is the emergence of the concept of electronic learning (e-learning). E-learning is useful for students and teachers to get learning materials easily, one of which is by using e-module teaching materials. This study aims to determine the process and produce a product in the form of an e-module of teaching materials assisted by algebrator software on the material of rank numbers and root forms for class X SMK. This type of research is development using ADDIE floating model. The instrument used in this study is a non-test instrument, namely a validation questionnaire, and the data obtained from a validation questionnaire that has been filled out by the validator. The data will be analyzed descriptively quantitatively. Overall, the feasibility of the e-module assisted by algebrator software on the material of numbers and root forms obtained an average of 86.35%, so that the e-module assisted by algebrator software on the material of numbers and roots of class X SMK is interpreted as very valid to use.Â Kata Kunci: E-module, Algebrator Software, Exponents and Roots, Validity

Solusi Optimal Pencarian Jalur Tercepat Menggunakan Algoritma Dijkstra Untuk Mencari Lokasi Cafe Di Bumiayu Intan Alifiani; Muhamad Aznar Abdillah; Ilsa Saliha
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

The purpose of this study are (1) to represent the route of cafÃ© location in Bumiayu in the form of graph, (2) To find a solution from the application of the Dijkstraâ€™s algorithm to find location of cafÃ© in Bumiayu, and (3) To find the recommended fastest route. The method used in this research is literature study, data collection, problem solving, and drawing conclusions. The results showed that (1) the route of cafÃ© location in Bumiayu could be represented in the form of a graph, (2) the solution was found the implementation of Dijkstraâ€™s algorithm to find the fastest route for the cafÃ© location in Bumiayu, and (3) the recommended fastest route was obtained from the starting point (v32)Â to 14 cafÃ© locations in Bumiayu (v1,v2,v3,v5,v7,v8,v9,v10,v12,v16,v19,v23,v27,v30). There are 13 cafÃ© locations that match the recommended fastest route based on the calculation of Dijkstraâ€™s algorithm. The route from starting point (v32)Â to due cafÃ© (v9)Â is one example that Dijkstraâ€™s algorithm does not always choose the smallest weight on each side but chooses the fastest route based on the total distance traveled. There is a discrepancy in the recommended fastest route from starting point (v32)Â to ratawit (v19). Keywords: Dijkstra, fastest route, optimal solution

Pengembangan E-Modul Berbasis Pendekatan Contextual Teaching And Learning Pada Materi Barisan Dan Deret Untuk Meningkatkan Minat Belajar Siswa SMP Martin Martin; Syamsuri Syamsuri; Heni Pujiastuti; Aan Hendrayana
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

This study aims to produce e-modules with a contextual teaching and learning approach that is valid, practical, and effective to increase students' interest in learning. This development research uses the Plomp model which consists of three phases, namely the preliminary research phase, the prototyping phase, and the assessment phase. The prototype trial was conducted on 16 eighth grade students of SMPN 1 Tirtayasa, Indonesia. The research instrument consisted of an expert validation sheet to assess the validity, a student response questionnaire to assess practicality, and a student learning interest questionnaire to assess the effectiveness of the e-module. This research produces an e-module with a contextual teaching and learning approach to increase the interest of junior high school students in learning mathematics in the context of everyday life. Although the increase in student interest in learning is still relatively low, overall the e-modules developed are considered valid, practical, and effective, so that they are suitable for use in learning mathematics in junior high schoolsKeywords: Mathematics Module, Contextual Teaching and Learning Interest in Learning Mathematics

Pengembangan Video Edukatif Volume Bangun Ruang Berbasis Etnomatematika Makanan Tradisonal Via Youtube Afifudin Lisgianto; Huri Suhendri
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

The purpose of this research is to produce an educative video of volume building based on the ethnomathematics of traditional food through Youtube. This study uses the Hannafin and Peck development model which consists of 3 stages, namely the needs analysis stage (Analyze), the design stage (Design), the development and implementation stages (Development & Implementation). Collecting data in this study using interviews and questionnaires. The instruments that accompany this research are a material expert and media expert validation questionnaire sheet, as well as a small group trial questionnaire. The results of the validation in the study showed that the educational video developed had met the eligibility criteria for the material expert test with a proportion of 78.9%, met the criteria very feasible for the media expert test with a proportion of 82.4%, met the eligibility criteria for a small group trial with a percentage of 77 ,5%. Based on these results, the ethnomathematics-based educational video developed is feasible to be used as a medium for learning mathematics in SMK.Keywords: Educational video, Spatial Building Volume, Ethnomathematics, Youtube

Etnomatematika: Eksplorasi Uma Lengge Untuk Pembelajaran Matematika Di Sekolah Muhamad Farhan; M. Tohimin Apriyanto; Arif Rahman Hakim
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

This research was conducted to explore the elements of mathematics (ethnomathematics) contained in the Uma Lengge building that is located in Bima, West Nusa Teggara (NTB), Indonesia. The research used a qualitative method with an ethnographic approach. The data were obtained from literature studies, observation, and documentation. Observation and documentation were used to identify and explore the elements of mathematics (ethnomathematics) contained in the Uma Lengge building, literature studies are used to find out more about the cultural values that exist in the uma lengge building as an application in learning mathematics. The results show elements of mathematics (ethnomathematics) in the uma lengge contain plane figure namely the concept of square, rectangle and triangle, concept of parallel and perpendicular lines, concept of geometry namely triangular prism and concept of similarity in triangle. The implication of this research is that the cultural elements contained in the uma lengge building can be used in mathematics learning applications in schools. Keywords: ethnomathematics, uma lengge, math learning

Etnomatematika: Persamaan Garis Lurus dengan Media Geogebra Rezkiyana Hikmah; Retno Nengsih
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

The development of GeoGebra media is a technology contribution to the education's world, especially mathematics. The use of GeoGebra media andÂ its association with egrang game aim to instill the concept of parallelism, perpendicularity, crossing, and slope of the line. This study aims to see how the students mathematics understanding ability is and whether the enhancement of it by using Geogebra media is better than ordinary learning. The samples were students in grade VIIIÂ at SMPN 1 Cibinong in 2019/2020. The number of samples is 60 students. This research is a quasi-experimental research design with a nonâ€“equivalent control group. The instrument was a test (pretest and posttest)Â to see the n gain of understanding ability. Data were analyzed using the Mann-Whitney test. The results are students mathematics understanding ability with Geogebra is not better than without Geogebra and the enhancement of it by using Geogebra mediaÂ isÂ better than without Geogebra media at SMPN 1 Cibinong in 2019/2020. Keywords: GeoGebra Media, Ethnomathematics, Understanding Ability Â

Transformasi Fourier Multiplikatif Dan Aplikasinya Pada Persamaan Diferensial Multiplikatif Aurizan Himmi Azhar; Sugiyanto Sugiyanto; Muhammad Wakhid Musthofa; Muhamad Zaki Riyanto
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

This research is a development of multiplicative calculus. This study is about the Fourier multiplicative transformation and its application to the multiplicative differential equation. This study aims to determine the Fourier multiplicative transformation as well as the multiplicative differential equation. This study contains numerical simulations to solve the problem of ordinary multiplicative differential equations of the first order. The methods used in this research are descriptive research methods through the study of literature. The results of this study are the application of multiplicative Fourier transformations to multiplicative differential equations and numerical solutions of ordinary multiplicative differential equations with the Adam Bashforth-Moulton multiplicative method. Â Keywords: Multiplicative Calculus, Fourier Multiplicative Transformation, Multiplicative Differential Equations, Adams Bashforth Moulton Multiplicative Method

Analisis Model Kooperatif Dalam Pembelajaran Blended Learning Statistika: (STAD dan Jigsaw) Riska Yulianti; Luluk Wahyu Nengsih; Asep Rosadi
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2022): Jurnal Derivat (Juli 2022)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

This research is an experimental study that aims to determine the difference in learning outcomes between students who are taught using the STAD cooperative learning model and those who are taught using the Jigsaw cooperative learning model. The population in this study was all students in class XI SMK Negeri 2 Jayapura for the academic year 2021â€“2022, totaling 111 people. The sample was taken using a purposive sampling technique, totaling 51 people, consisting of two classes, namely class XI, Office 3, and Class XI, Office 4. Class XI Office 3 (experimental class) is a class that is taught using the STAD cooperative learning model, and Class XI Office 4 (control class) is a class that is taught using the Jigsaw cooperative learning model.Â The obtained data were then analyzed using parametric statistics via a t-test. The results showed that: 1) there was no significant difference in mathematics learning outcomes between students taught by the STAD type of cooperative learning model and students who were taught by the Jigsaw type of cooperative learning model; 2) the mean of mathematics learning outcomes of students who are taught the STAD type of cooperative learning model is lower than that of students who are taught the JIGSAW type of cooperative learning model, which is 62.61 smaller than 70.43.Keywords: Cooperative model, Blended learning, Statistics

Penerapan Operasi Hitung Bilangan Bulat Bernuansa Etnomatematika Melalui Media Wayang Singkong Dhian Nuri Rahmawati; Dafid Slamet Setiana; Edi Subarkah; Pardimin Pardimin; Muhammad Irfan
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2022): Jurnal Derivat (Juli 2022)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Ethnomathematics is the integration of cultural elements into mathematics learning. To foster a sense of love and preserve the cultural heritage of the past, the mathematical elements contained in the culture of the community need to be studied further. This study aims to identify and describe the application of ethnomathematical integer arithmetic operations through cassava puppet media in activating student learning activities and preserving traditional games. This research is a qualitative descriptive study. The subjects in this study were 10 students of class VI group B SD Rejosari Tanjungsari. The method of data collection in this research is the method of observation, interviews, and documentation. The results of this study are: the use of cassava puppet media in the addition and subtraction of integers goes according to expectations, namely student activities in learning show positive results. It also preserves traditional games by introducing wayang cassava as an entertainment medium as well as a learning medium.Keywords: arithmetic operations, integers, media, cassava puppets

Pengembangan LKPD Elektronik Materi Perbandingan Trigonometri Pada Segitiga Siku-Siku Berbasis Etnomatematika Muhammad Riza; Noor Fajriah; Taufiq Hidayanto
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2022): Jurnal Derivat (Juli 2022)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Online learning was an option during the COVID-19 pandemic, so teachers cannot directly see the activities of their students. Therefore, exciting teaching materials were needed and facilitate independent learning for students. Based on this, an electronic LKPD for trigonometric comparisons in ethnomathematical-based right triangles was developed in the cultural heritage buildings of Banjarmasin City. The purpose of this research was to produce valid LKPD. This study uses the research and development (RnD) method with a 4D model but was carried out only up to three stages: define, design, and develop. The results of material validation based on aspects: format, content, language, and culture were declared valid. Meanwhile, based on media validation, which was seen from the elements: design and ease of operation are also categorized as accurate, so an ethnomathematics-based electronic LKPD was obtained in a valid Banjarmasin City cultural heritage building. Electronic LKPD still needs to be tested on students to be used in the learning process.Keyword: Electronic student worksheets, trigonometric comparisons, ethnomathematics, cultural heritage buildings.

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