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Pythagoras: Jurnal Matematika dan Pendidikan Matematika
Published by Universitas Negeri Yogyakarta
ISSN : 19784538     EISSN : 2527421X     DOI : 10.21831
Core Subject : Education,
Education Mathematics
Arjuna Subject : -
Articles 10 Documents
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Search results for , issue "Vol 16, No 1: June 2021" : 10 Documents clear
Kesalahan mahasiswa semester pertama dalam menyelesaikan masalah kecepatan sudut pada mata kuliah trigonometri Yayan Eryk Setiawan
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.38560

Abstract

Penelitian kualitatif dengan pendekatan studi kasus ini bertujuan untuk mendeskripsikan ke­salahan mahasiswa semester pertama yang mengambil mata kuliah trigonometri dalam menye­lesaikan masalah kecepatan sudut. Tujuh mahasiswa program studi pendidikan matematika di salah satu perguruan tinggi di Kota Malang menjadi subjek penelitian. Data yang dikumpulkan dalam penelitian ini terdiri atas hasil pekerjaan subjek yang diperoleh melalui tes pemecahan masalah kecepatan sudut dan transkrip hasil wawancara dengan subjek. Analisis data hasil pe­kerjaan subjek dilakukan dengan menglasifikasikan berdasarkan jenis-jenis kesalahan. Sedang­kan analisis transkrip hasil wawancara dilakukan dengan mengodekan kata-kata yang menun­jukkan penyebab munculnya kesalahan subjek. Hasil penelitian menunjukkan bahwa kesalahan mahasiswa semester pertama dalam menyelesaikan masalah kecepatan sudut terdiri dari ke­salahan konsep dan kesalahan prinsip. Faktor penyebab dari kesalahan konsep ini yaitu tidak memahami konsep kecepatan sudut dan faktor penyebab kesalahan prinsip ini yaitu kesalahpahaman bahwa rumus kecepatan linier sama dengan rumus kecepatan sudut. Oleh karena itu, untuk menghindari kesalahan ini, maka pembelajaran materi kecepatan sudut disarankan untuk dilakukan dengan menekankan pada pemahaman konsep kecepatan sudut dan perbedaan antara rumus kecepatan sudut dengan rumus kecepatan linier. The errors of the first-semester students in solving the angular velocity problem in trigonometry courseAbstractThis qualitative research that used case study approach aimed to describe the errors of the first semester students in solving the angular velocity problem. Seven students of the mathematics education study program at a university in Malang City involved as the research subject. The data collected in this study consisted of the subject’s work on the midterm test which contains angular velocity problems and transcripts of interviews with the subject. Data analysis of the subject’s work was carried out by classifying based on the types of errors. Meanwhile, the transcript analysis of the interview results was carried out by coding the words that indicated the cause of the subject’s error. The results showed that the errors of the first semester students in solving the angular velocity problem consisted of conceptual and principle errors. The conceptual errors were caused by a lack of understanding of angular velocity concept and the factor causing principle errors was the misunderstanding that the linear velocity formula is the same as the angular velocity formula. Therefore, to avoid this error, the learning of angular velocity is suggested to emphasize the understanding of the concept of angular velocity and the difference between the angular and linear velocity formula.
Pengembangan game edukasi matematika berbasis komputer pada materi pola bilangan Angge Sapto Mubharokh; Muhammad Win Afgani; Retni Paradesa
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.34376

Abstract

Penelitian ini bertujuan untuk menghasilkan game edukasi matematika berbasis komputer pada materi pola bilangan yang layak. Penelitian pengembangan ini menggunakan tahap formative evaluation yang meliputi self evaluation, expert review dan one-to-one evaluation, small group,dan field test. Kelayakan game yang dikembangkan ditinjau berdasarkan penilaian pakar dan hasil uji coba lapangan kepada siswa. Pakar yang melakukan penilaian terdiri dari dosen pendidikan matematika, staf IT, dan guru matematika. Siswa yang terlibat dalam uji coba adalah siswa kelas VIII SMP Muhammadiyah 8 Palembang. Hasil penilaian pakar menunjukkan bahwa game edukasi matematika berbasis komputer pada materi pola bilangan layak digunakan dalam pembelajaran matematika. Hasil uji coba lapangan mengungkapkan bahwa game edukasi matematika efektif, mudah digunakan, dan efisien. Dengan demikian, dapat disimpulkan bahwa game edukasi matematika berbasis komputer pada materi pola bilangan yang dikembangkan layak digunakan dalam pembelajaran matematika.Development of computer-based mathematical education games on number pattern materialAbstractThis study aimed to produce a feasible computer-based mathematical education game on number pattern material. The development study used a formative evaluation stage which includes self-evaluation, expert review and one-to-one evaluation, small group, and field test. The feasibility of the game was reviewed based on expert assessments and the results of the field test to students. The experts who conducted the assessment consisted of a mathematics education lecturer, IT staff, and mathematics teacher. The students involved in the field test were eighth-graders of SMP (Junior High School) Muhammadiyah 8 Palembang, Indonesia. The results of the expert assessment showed that the computer-based mathematical education game on number pattern material was suitable for use in learning mathematics. The results of field trials revealed that the mathematical education game was effective, easy to use, and efficient. Therefore, it can be concluded that the computer-based mathematical education game on the number pattern material developed was feasible for use in learning mathematics.
Analisis kemampuan pemecahan masalah matematis siswa quitters ditinjau dari kemampuan metakognitif Nurlaila Khasanah
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.34509

Abstract

Tujuan penelitian ini adalah untuk mendeskripsikan kemampuan pemecahan masalah siswa de­ngan kategori quitter, adversity quotient (AQ) rendah, ditinjau dari kemampuan metakognitif­nya. Kemampuan pemecahan masalah yang dimaksud di sini meliputi kemampuan dalam memeriksa kecukupan unsur, mencari alternatif penyelesaian, melaksanakan penyelesaian ma­salah, dan memeriksa kebenaran jawaban. Penelitian ini merupakan penelitian deskriptif kua­litatif yang menggunakan teknik purposive sampling untuk memilih subjek penelitian. Subjek penelitian terdiri atas enam siswa kelas VIII di salah satu SMP negeri di Kota Jakarta Barat, di mana tiga siswa memiliki kemampuan metakognitif tinggi dan tiga siswa memiliki kemampuan metakognitif sedang.  Data penelitian dikumpulkan dengan menggunakan angket AQ, angket metakognitif, tes kemampuan pemecahan masalah, dan wawancara. Data yang terkumpul kemudian dianalisis melalui proses reduksi data, penyajian data, dan penarikan kesimpulan atau verifikasi. Hasil penelitian ini menunjukkan bahwa siswa dengan kemampuan metakognitif ting­gi cukup mampu dalam memeriksa kecukupan unsur, melaksanakan penyelesaian masalah, dan memeriksa kebenaran jawaban. Sementara itu, siswa dengan metakognitif sedang cukup mam­pu dalam memeriksa kecukupan unsur dan memeriksa kebenaran jawaban ketika terlibat da­lam kegiatan pemecahan masalah matematika.Analysis of mathematical problem solving ability of quitter students based on metacognitive abilityThe purpose of this study was to describe the problem-solving abilities of quitter students, stu­dents with low level of adversity quotient (AQ), based on their metacognitive abilities. Students’ problem-solving abilities were examined based on their abilities in checking the required infor­mation to solve a problem, looking for alternative strategies to obtain a solution to the problem, solving the problem by following a problem-solving strategy, and evaluating the answer. This qualitative study applied purposive sampling technique to select subjects. The subjects were six eight graders at a public junior high school in West Jakarta which consisted of three students with high level of metacognitive ability and three students with moderate level of metacognitive ability. AQ questionnaire, metacognitive questionnaire, problem-solving test, and interview were used to collect data. The collected data were analyzed through data reduction, data display, and verification. The results indicated that students with high level of metacognitive ability were quite able to show their abilities in checking the required information to solve a problem, executing a problem-solving strategy to obtain the solution to the problem, and evaluating the answer. Meanwhile, students with moderate level of metacognitive ability were quite able to demons­trate their abilities in checking information needed to solve a problem and evaluating the answer.
Perilaku siswa cerdas istimewa saat pembelajaran pengayaan matematika menggunakan kalkulator Cahya Mar'a Saliha Sumantri; Sugiman Sugiman; Heri Retnawati
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.35440

Abstract

Penelitian ini bertujuan untuk mendeskripsikan perilaku siswa cerdas istimewa saat pem­belajaran pengayaan matematika menggunakan kalkulator. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kuantitatif dan kualitatif. Subjek penelitian adalah siswa kelas VIII-A SMP Negeri di Kota Pasuruan yang terdiri dari 33 siswa. Subjek yang dipilih berasal dari kelas unggulan pada sekolah tersebut. Instrumen penelitian berupa lembar observasi dan kuesioner. Analisis data menggunakan analisis deskriptif kuantitatif dan kualitatif. Hasil penelitian mengung­kapkan bahwa siswa masih menggunakan perhitungan manual daripada menggunakan kal­kulator ketika mengerjakan tes awal. Ketika siswa mengerjakan beberapa soal pada lembar kegiatan peserta didik, siswa antusias untuk memahami petunjuk pengoperasian kalkulator, meskipun beberapa siswa masih mengajukan pertanyaan kepada guru. Kasus lainnya, siswa terlihat kebingungan saat hasil yang muncul di kalkulatornya berbeda dengan hasil teman-temannya, sebagian besar siswa baru mengetahui fungsi lain dari tombol-tombol kalkulator. Berbagai tantangan dan potensi pemanfaatan kalkulator dalam pembelajaran pengayaan mate­matika didiskusikan dalam artikel ini. The behavior of special intelligent students when learning mathematics enrichment using a calculatorAbstractThis study aimed to describe the behavior of special intelligent students when learning mathe­matics enrichment using a calculator. This research was descriptive research with quantitative and qualitative approaches. The subjects were eighth-grade students of a public junior high school in Pasuruan City, Indonesia, which consisted of 33 students. The selected subjects came from the superior class at the school. The instruments were observation sheets and question­naires. Data analysis used quantitative and qualitative descriptive analysis. The study results revealed that students still used manual calculations instead of using a calculator when doing the initial test. When students solved some problems on the worksheet, students were enthusiastic about understanding the instructions for operating the calculator, although some students still asked questions to the teacher. In another case, students looked confused when the results that appeared on their calculators were different from the results of their friends; most of the students just found out about other functions of the calculator buttons. Various challenges and potential use of calculators in mathematics enrichment learning were discussed. 
Mathematical model of cholera spread based on SIR: Optimal control Noer Hidayati; Eminugroho Ratna Sari; Nur Hadi Waryanto
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.35729

Abstract

The bacterium Vibrio cholerae is the cause of cholera. Cholera is spread through the feces of an infected individual in a population. From a mathematical point of view, this problem can be brought into a mathematical model in the form of Susceptible-Infected-Recovered (SIR), which considers the birth rate. Because outbreaks that occur easily spread if not treated immediately, it is necessary to control the susceptible individual population by vaccination. The vaccine used is Oral Vibrio cholera. For this reason, the purposes of this study were to establish a model for the spread of cholera without vaccination, analyze the stability of the model around the equili­brium point, form a model for the spread of cholera with vaccination control, and describe the simulation results of numerical model completion. Based on the analysis of the stability of the equilibrium point of the model, it indicates that if the contact rate is smaller than the sum of the birth rate and the recovery rate, cholera will disappear over time. If the contact rate is grea­ter than the sum of the birth rate and the recovery rate, then cholera is still present, or in other words, the disease can still spread. Because the spread is endemic, optimal control of the popu­lation of susceptible individuals is needed, in this case, control by vaccination, so that the popu­lation of susceptible individuals becomes minimum and the population of recovered indivi­duals increases.
Pengembangan lintasan belajar limas untuk mengembangkan kemampuan spasial siswa melalui pendidikan matematika realistik berbantuan GeoGebra Ulfa Meirida; Rahmah Johar; Anizar Ahmad
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.36157

Abstract

Penelitian ini bertujuan untuk menghasilkan lintasan belajar pada materi limas untuk menumbuhkan kemampuan spasial siswa melalui pendidikan matematika realistik. Penelitian ini merupakan design research yang memuat tiga tahap, yaitu preparing for the experiment, the teaching experiment, dan retrospective analysis. Subjek penelitian adalah siswa kelas VIII di salah satu SMP di Aceh Besar, Indonesia. Uji coba terhadap Hypothetical Learning Trajectory (HLT) siklus 1 dilakukan secara offline dengan melibatkan tiga siswa, sementara uji coba Hypothetical Learning Trajectory (HLT) siklus 2 dilakukan secara online dengan melibatkan 10 siswa. Instrumen pengumpulan data berupa lembar aktivitas siswa, lembar observasi, pedoman wawancara, catatan lapangan, dan rekaman video pembelajaran. Penelitian ini menghasilkan lintasan belajar limas yang diperoleh dari merevisi HLT dengan cara memperbanyak tampilan contoh-contoh limas dalam kehidupan sehari-hari, menggambar lebih banyak jaring-jaring limas, mengurutkan pola dalam menemukan rumus jumlah diagonal bidang, dan menayangkan animasi 3D melalui GeoGebra. Lintasan belajar limas dimulai dari melukis limas, menggambar jaring-jaring limas, menemukan rumus berkaitan dengan hubungan antar unsur-unsur limas, menemukan rumus luas permukaan limas, dan menemukan rumus volume limas. Lintasan belajar yang dikembangkan secara teoritis dapat menumbuhkan kemampuan spasial siswa melalui pendidikan matematika realistik pada materi limas. Development of pyramid learning trajectory to promote students' spatial ability through realistic mathematics education assisted by GeoGebraAbstractThis study aimed to produce a learning trajectory in pyramid material to foster students' spatial ability through realistic mathematics education. This is design research which consists of three stages, namely experimental preparation, teaching experiment, and retrospective analysis. The research subjects were students of class VIII in a junior high school in Aceh Besar, Indonesia. The trial of Hypothetical Learning Trajectory (HLT) for cycle 1 that was performed offline involved three students and the trial of Hypothetical Learning Trajectory (HLT) for cycle 2 that was performed online involved 10 students. The instruments for data collection were student activity sheet (worksheet), observation sheet, interview protocol, field note, and learning video recording. The research produced a pyramid learning trajectory obtained from revising HLT by presenting more pyramid models in everyday life, drawing more pyramid nets, recognizing patterns in determining the number of face diagonal, and displaying 3D animations through GeoGebra. The pyramid learning trajectory started from drawing a pyramid, drawing the net of a pyramid, finding formulas related to the relationship between pyramid elements, finding the formula for the surface area of a pyramid, and finding the formula for the volume of a pyramid. The developed learning trajectory, theoretically, could foster students’ spatial ability through realistic mathematics education on the learning material about pyramid.
Model masalah penjadwalan transporter pasien dengan pendekatan Dial-A-Ride Problem (DARP) Zahrul Jannah Nur Rochim; Irwan Endrayanto
Pythagoras: Jurnal Matematika dan Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.36648

Abstract

Transportasi intra-hospital merupakan transportasi dalam area suatu rumah sakit, termasuk di dalamnya adalah transportasi pasien. Transportasi pasien dalam area rumah sakit dilakukan oleh transporter pasien yang merupakan staf non-medis rumah sakit. Tugas transporter pasien adalah menjemput dan mengantarkan pasien yang membutuhkan bantuan untuk berpindah lokasi dalam area rumah sakit dikarenakan kondisinya yang tidak dapat berpindah sendiri untuk menjalani perawatan yang telah terjadwal. Penjadwalan transporter pasien harus mempertim­bangkan beberapa hal yang di antaranya tidak boleh terlambat dalam mengantarkan pasien se­suai jadwal perawatan, adanya time windows untuk masing-masing lokasi penjemputan dan pengantaran, masing-masing pasien memiliki batas maksimum untuk berada di perjalanan, ter­batasnya jumlah transporter pasien serta batasan jam kerja transporter pasien. Permasalahan ini akan dimodelkan dengan pendekatan model Dial-A-Ride Problem (DARP). Fungsi tujuan mo­del ini adalah meminimalkan total waktu tempuh transporter pasien dan jumlah transporter pasien yang ditugaskan. Model diterapkan pada  suatu kasus di salah satu  rumah sakit di Jakarta. Berdasarkan hasil penyelesaian diperoleh hasil penjadwalan yang optimum menggunakan pro­gram LINGO 11.0.Model of patient transporter scheduling problem with Dial-A-Ride Problem (DARP) approachIntra-hospital transportation is transportation within the area of a hospital including the patient transportation. Patient transportation within the hospital area is carried out by patient trans­porters who are non-medical staff of the hospital. The task of the patient transporter is to pick up and deliver patients who need help to switch locations within the hospital area due to their con­dition that cannot move on their own to undergo scheduled treatment. Scheduling a patient transporter should consider several things including not being late in delivering patients accor­ding to the treatment schedule, the existence of time windows for each pickup and drop off location, each patient has a maximum limit on the journey, limited number of patients transpor­ters, and limits on patient transporter working hours. This issue will be modeled with Dial-A-Ride Problem (DARP) model approach. The purpose function of this model is to minimize the total travel time of the patient transporter and the number of patient transporters assigned. The model is applied to a case in one of the hospitals in Jakarta, Indonesia. The results showed op­timum scheduling using LINGO 11.0 program.
Analysis of students’ thinking process in solving arithmetic sequence based on adversity quotient types Muhamad Sabirin; Saidah Arafah; M. Amin Paris; Muh. Fajaruddin Atsnan; Maisea Ledua Nareki
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.39151

Abstract

This descriptive qualitative study aimed at describing students’ thinking process in solving arithmetic sequence problems based on students’ adversity quotient (AQ). Two students who have camper type of AQ and two students who have transition from camper to climber type of AQ were involved in this study. We employed a questionnaire to identify the type of AQ that students have, a test to collect data on students’ problem-solving process, and an interview guideline to clarify students’ thinking process in problem-solving. The collected data were analyzed by following a process consisting of data reduction, data presentation, and drawing conclusions or verification. The results revealed that the students who have camper type of AQ demonstrated an assimilation thinking process on the stage of understanding problem and devising a problem-solving plan, an accommodation-assimilation thinking process on the stage of devising a problem-solving plan, and an accommodation thinking process on the stage of looking back. As for students who have transition from camper to climber type of AQ, they have similar thinking process with that of the students who have camper type of AQ on the stage of understanding problem, devising a problem-solving plan, and executing the problem-solving plan, but these students demonstrated different thinking process on the stage of looking back. In the stage of looking back, the students who have transition from camper to climber type of AQ presented an accommodation-assimilation thinking process that can be found from their responses to the test and interview.
YouTube vlog channels in basic mathematics as e-learning during the COVID-19 pandemic Vera Dewi Susanti; Ika Krisdiana; Wasilatul Murtafiah; Reza Kusuma Setyansah; Titin Masfingatin
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.40932

Abstract

This research aimed to produce YouTube vlog channels that are valid, practical, and effective to be used in facilitating e-learning in a basic mathematics course. The method used in this research is Research and Development (RD), which consists of four stages, namely define, design, develop, and disseminate. The subjects in this study were 62 third-semester students of the Mathematics Education Study Program at PGRI University of Madiun, Indonesia, where 50 students were field test subjects and 12 students were limited test subjects. The instruments used in this research were a validation sheet, a student response questionnaire, and a student learning outcomes test. This research produced YouTube vlog channels. Based on the validation results on teaching materials, an average score of 77% was obtained which was declared valid. Based on the student response questionnaire at the field test stage, it was obtained an average value of 75.46% which was stated to be practical. While at the limited test stage obtained a score of 81.94% which is also declared practical. Based on the learning outcomes test in the field test, the percentage of completeness was 81.82% which stated that the YouTube vlog channel was effective. Meanwhile, in the limited test stage, the completeness percentage was 82% which was also declared effective. Therefore, the produced YouTube vlog channel is feasible for use in e-learning environment.
Online tutoring in pandemic: An investigation on students’ mathematics anxiety and learning motivation Syafika Ulfah; Khoirunnisa Khoirunnisa; Collins Bekoe
PYTHAGORAS Jurnal Pendidikan Matematika Vol 16, No 1: June 2021
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v16i1.42044

Abstract

Learning activities should be shifted from offline to online mode as a consequence of the COVID-19 pandemic. Several previous studies have stated that this situation affects the psychology of students. This study aimed to examine mathematics anxiety and learning motivation of junior high school students based on the availability of online tutoring support during the COVID-19 pandemic. We employed a survey method by distributing a Google Form link containing a questionnaire to a public junior high school in East Jakarta, Indonesia. The questionnaire consisted of 22 items of mathematics anxiety and 23 items of learning motivation with a 5-point Likert scale. A total of 365 eighth-grade students were involved in this study. Data analysis used descriptive analysis, Mann-Whitney test, and correlation analysis. Our study revealed a significant difference between students who took and did not take online tutoring. Furthermore, the study also found a negative relationship between mathematics anxiety and learning motivation. The students who took online tutoring had a low level of mathematics anxiety and a very high level of learning motivation.

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