Pythagoras Jurnal pendidikan Matematika最新文献

{"title":"Analisis Kesalahan Konstruksi Konsep Siswa Kelas X pada Materi Operasi Bentuk Akar","authors":"Moh. Rikza Muqtada, Dita Aldila Krisma, Paskalia Pradanti","doi":"10.33373/pythagoras.v11i2.4470","DOIUrl":"https://doi.org/10.33373/pythagoras.v11i2.4470","url":null,"abstract":"Penelitian ini bertujuan untuk mendeskripsikan jenis kesalahan yang dilakukan siswa saat menyelesaikan soal operasi bentuk akar. Penelitian ini menggunakan pendekatan kualitatif deskriptif. Subyek penelitian ini adalah lima siswa kelas X SMK Al-Amin Gresik. Kesimpulan yang diperoleh berdasarkan analisis data yang dilakukan adalah: 1) terjadi kesalahan mis-analogical construction sebanyak 42% karena karena siswa menganalogikan operasi bentuk akar dengan operasi bilangan rasional; (2) terjadi kesalahan pseudo construction sebanyak 36% ketika siswa seolah-olah tahu hasil operasi, namun setelah ditelusuri ternyata tidak sesuai dengan konsep; (3) terjadi kesalahan mis-logical construction sebanyak 16% saat siswa menganggap bahwa pembuktian suatu kebenaran bisa dilakukan dari konklusi ke hipotesa; dan (4) terjadi kesalahan lubang konstruksi sebanyak 6% saat siswa membangun konsep penjumlahan akar sebagai suatu penjumlahan benda konkret.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72555410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Effect of Multiple Representations on Students’ Performance on Interpretations and Techniques of Representation in Calculus","authors":"Niguse Arefaine, Kassa Michael, S. Assefa","doi":"10.22342/jpm.16.3.18291.351-372","DOIUrl":"https://doi.org/10.22342/jpm.16.3.18291.351-372","url":null,"abstract":"This study investigated the effect of the multiple representations approaches on students’ representation interpretation in learning calculus. Pretest and posttest quasi-experimental design of non-equivalent groups was used. Three intact groups of size 53, 57, and 54 students from Jigjiga and Kebri-Dehar Universities in Ethiopia participated in this study. The groups included a GeoGebra-supported multiple representations approach (MRT) from Jigjiga University, a multiple representation approach (MR), and a conventional approach (CG), both from Kebri Dehar University. Representation interpretation problem pretest and posttest were administered compiled from pre and calculus contents, respectively. Students’ performance on representation interpretation problems was assessed using rubric scores, and their interpretation techniques were labeled as local versus global and syntactic versus semantic. Results revealed no statistically significant mean difference among the three groups on representation interpretation from the posttest that was determined by one-way ANOVA ((F(2.161) = 2.232, P = .111 , Partial eta = .03). More students in each group demonstrated local and semantic interpretation than global and syntactic interpretation. After the treatment, many students from each group shifted towards the local and semantic interpretation. It is recommended that the study need to replicate other calculus contents with different participants to generalize the results of the study.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82942697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Effectiveness of Online Learning Based on Learning Outcomes in the Mathematics Course during the Covid-19 Pandemic Period","authors":"Farida Tuahuns, Fitri Savitri, Alifa Sabrina","doi":"10.22342/jpm.16.3.15930.325-338","DOIUrl":"https://doi.org/10.22342/jpm.16.3.15930.325-338","url":null,"abstract":"The implementation of online learning due to the COVID-19 pandemic by the Indonesian government through the Ministry of Education has led to changes in the condition of the lecture system in public and private universities. This study aimed to determine the effectiveness of online learning in the mathematics course at STIKes IKIFA in the Pharmacy Study Program during the 2020/2021 academic year using a quantitative descriptive method. Student learning outcomes from pretest and posttest were compared to find the differences before and after treatment during online learning. A total of 95 students were recruited as sample through total sampling. The measurement of the effectiveness of online learning based on students’ outcomes showed that 92.7% of students scored higher than 70 for posttest. The online learning would be considered effective if the students’ learning outcomes exceeded 80%. The effectiveness could also be seen in the increases in learning outcomes recorded by 85.26% of the students. It can be concluded that the online learning implemented in STIKes IKIFA was in the effective category. This result was made possible by a sound collaboration between the university and the lecturer as facilitator in creating an environment for online learning during the COVID-19 pandemic.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85828871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Development of Meme Learning Media with PMRI to Implement Mathematics Literacy in Students Elementary School","authors":"Diki Hasrul Wathani, R. Irawati, P. D. Iswara","doi":"10.22342/jpm.16.3.15249.339-350","DOIUrl":"https://doi.org/10.22342/jpm.16.3.15249.339-350","url":null,"abstract":"Low mathematical literacy is one of the causes of the lack of interest and motivation in learners. Mathematical literacy and realistic mathematical approaches have relevant characteristics. This research aims to develop memes as learning media with a realistic mathematical approach to develop mathematical literacy in elementary school students. The research consists of several steps, which are: analysis, design, development, implementation, and evaluation. The methods used are descriptive, evaluative, and experimental with a pre-experimental design. The instruments used were expert validation questionnaires, student response questionnaires, teacher observation sheets, and evaluation assessments. The results obtained from material experts were 79% and 78% from media expert, both in the appropriate category. Assessments of mathematical content obtained the validation results from the material experts and media experts with scores of 79% and 78%; both belong to the decent category. In large-scale trials, the results of the student response questionnaire after learning obtained a score of 73% while the evaluation results obtained a score of 60%. The students' evaluation scores are evenly distributed from the lower limit of 25 to the upper limit of 95. Based on the results, it can be concluded that meme teaching media with a realistic mathematical approach develop students’ mathematical literacy even though it is not a high level.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75809629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Problem-solving Approach and Its Impact on Creative Thinking Ability of Prospective Mathematics Teachers","authors":"A. Jupri, Asep Syarif Hidayat","doi":"10.22342/jpm.16.3.17820.257-268","DOIUrl":"https://doi.org/10.22342/jpm.16.3.17820.257-268","url":null,"abstract":"This study aims to investigate the implementation of a problem-solving approach and its corresponding impact on the creative thinking ability of prospective mathematics teachers. A qualitative case study approach was used in this study in the form of observations of learning and teaching processes for geometry topics through the use of a problem-solving approach and of a written test involving 20 prospective mathematics teachers, in one of the state universities in Bandung, Indonesia. The results showed that the implemented problem-solving approach influenced prospective mathematics teachers’ creative thinking in solving problems. The use of different strategies showed prospective teachers’ creative thinking ability in problem-solving processes. The effect of the problem-solving approach on prospective mathematics teachers can be investigated further to obtain a more comprehensive understanding of creative thinking ability.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73271394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Learning Mathematics Using a Collaborative RME Approach in the Indoor and Outdoor Classrooms to Improve Students' Mathematical Connection Ability","authors":"D. S. Pambudi, S. Sunardi, T. Sugiarti","doi":"10.22342/jpm.16.3.17883.303-324","DOIUrl":"https://doi.org/10.22342/jpm.16.3.17883.303-324","url":null,"abstract":"Teaching approach applied by mathematics teacher can affect students' mathematical connection ability (MCA). The fact shows that there are still many teachers using conventional learning, causing passive students and low MCA among students. The purpose of this study was to describe the effectiveness of applying a collaborative realistic mathematics education (RME) approach using the classroom and the outdoor environment to improve students' MCA on the topic of similar triangles. This quasi-experimental research with a qualitative descriptive approach took the subject of ninth-grade students at a public junior high school in Jember, Indonesia. Data were collected using observation sheets, questionnaires, tests, and interviews. The data were analyzed using the effectiveness test (N-gain score). The results showed that the application of collaborative RME using the indoor and outdoor classrooms made students more active in physical, social, and mental activities. This learning is effective in improving students' MCA. The average score of 57.47 in the pre-test increased to 93.88 in the post-test, and the N-gain score was 0.86. Mathematics teachers are advised to apply this learning approach, not only on the topic of similarity triangles, but also on other suitable topics.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"48 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80606950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Development of PISA-Like Math Tasks for Uncertainty and Data Using the Context of COVID-19","authors":"K. A. Islamirta, R. Putri, H. Hapizah, Isri Mawarni","doi":"10.22342/jpm.16.3.17086.269-288","DOIUrl":"https://doi.org/10.22342/jpm.16.3.17086.269-288","url":null,"abstract":"This study aims to produce valid and practical questions and discover the potential effect of PISA-Like Math Tasks on uncertainty and data content using the COVID-19 context on mathematical literacy skills. The subjects of this study were students in Grade 9 of Junior High School number 19 Palembang. The research was conducted using the research design of developmental research. The stages in question development research are the preliminary and formative evaluation stages. The preliminary stage includes analysis of student needs, curriculum analysis, and analysis of PISA evaluation instruments. The formative evaluation stage includes self-evaluation, expert reviews, and one-to-one, small group, and field tests. This study resulted in a set of PISA-Like Math Tasks on uncertainty and data content using the COVID-19 context which consisted of 7 units with 12 valid and practical questions and potential effects on mathematical literacy skills, which included communication skills, reasoning skills, mathematical abilities, representation ability, and strategy selection ability. The resulting PISA-Like Math Tasks can help students think mathematically by using ideas from different subjects to solve a given problem.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81836206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Development of PISA Questions and Activities Using Social Distancing Context During Pandemic","authors":"Risda Intan Sistyawati, Z. Zulkardi, H. Hapizah","doi":"10.22342/jpm.16.3.17358.239-256","DOIUrl":"https://doi.org/10.22342/jpm.16.3.17358.239-256","url":null,"abstract":"The emergence of this research is caused by the low mathematical literacy of students in Indonesia. This study aims to obtain valid, practical, and have potential effects of PISA type questions and activities using social distancing context during pandemic. This study is design research with the type of development studies which consist of two main stages, including preliminary design and formative evaluation. This study took a special research subject for grade IX junior high school students aged 14-16 years in the city of Palembang. Analysis of the results of this study was carried out qualitatively based on data in the field obtained in the form of interviews, photos and videos to see student activities in working on questions and activities. From this study, the results obtained include one type of activity and one evaluation question of the results of developing PISA type questions and activities with the context of social distancing during a pandemic that grade IX students can use to develop their mathematics literacy skills. In conclusion, PISA type questions and activities with the context of social distancing during the pandemic can be used for the learning process in the classroom to improve students' mathematical literacy.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"133 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86203696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mathematical Modeling Learning Design with PISA Framework on Grade X Function","authors":"N. Saputri, Z. Zulkardi, Darmawijoyo Darmawijoyo","doi":"10.22342/jpm.16.3.17228.289-302","DOIUrl":"https://doi.org/10.22342/jpm.16.3.17228.289-302","url":null,"abstract":"Mathematical Modeling is the cornerstone and central aspect of the PISA framework. However, students still encounter difficulties in dealing with problems related to mathematical modeling. This study aims to produce a learning trajectory of mathematical modeling on functions material using the context of an online taxibike. Mathematical modeling activities on functions material are designed using the mathematical modeling cycle in the PISA framework. The subjects in this study were students of class X Bina Ilmi IT Senior High School Palembang. The research method used is validation studies. The research consisted of three stages, namely the preparation stage, the experimental design stage consisting of two cycles (cycle I: pilot experiment and cycle II: teaching experiment) and the retrospective analysis stage. Data was collected through observation, interviews and written test (students' work on the activity sheet and the results of pre-test and post-test). The results showed that learning activities that have been designed can assist students in solving mathematical modeling problems on functions. It begins with the formulate, employed, interprete/evaluate process. Through these mathematical modeling processes, students have a better understanding of functions and become accustomed to using mathematical modeling processes in solving contextual problems related to function material.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86924657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Tinjauan Matematis Waktu Tundaan pada Model Covid-19 dengan Vaksinansi","authors":"Fitriana Yuli Saptaningtyas, Ahmadi Ahmadi","doi":"10.21831/pythagoras.v17i1.49372","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.49372","url":null,"abstract":"Artikel ini membahas pemodelan matematika penyebaran Covid-19 dengan vaksinasi yang melibatkan waktu tundaan. Waktu tundaan merepresentasikan waktu individu mengalami penurunan kekebalan tubuh sehingga kembali rentan terhadap Covid-19 setelah sembuh. Kita tahu bahwa individu yang dinyatakan sembuh dari Covid-19 dapat terinfeksi kembali. Penelitian ini menganalisa titik ekuilibirum beserta kestabilannya, menentukan bilangan reproduksi dasar untuk melihat penyebaran penyakit, menentukan jenis bifurkasi yang muncul yang diakibatkan oleh waktu tundaan, dan melakukan simulasi numerik untuk melihat perilaku penyebaran penyakit. Di samping itu juga dilakukan kajian analitik untuk menentukan bilangan reproduksi dasar dan analisa perbandingan kestabilan lokal untuk model tanpa waktu tundaan dan dengan waktu tundaan. Hasil dari analisis terhadap model didapat dua titik ekuilibrium, yakni satu bebas penyakit dan satu endemik. Pada model dengan waktu tundaan diperoleh bahwa waktu tundaan tertentu  dapat menyebabkan munculnya solusi periodik artinya akan terjadi fluktuasi banyaknya individu yang terinveksi pada periode waktu tertentu. Simulasi numerik dengan mengubah ubah parameter waktu tundaan dan tingkat vaksinasi menunjukkan pada kondisi endemik model dengan waktu tundaan akan menyebabkan lebih banyak individu yang terinveksi dari pada model tanpa waktu tundaan. Mathematical Overview of Time Delay on Covid 19 Models with VaccinationAbstractThis article discusses the mathematical modeling of the spread of Covid-19 with vaccination which involves a time delay. The time delay is represented when an individual experiences a decreased immune system so that he is declared susceptible to Covid-19 after recovering. Because we know that individuals who are declared cured of Covid-19 can be reinfected, this study analyzes the equilibrium point of the model and its stability, determines the primary reproduction number to see the spread of the disease, determines the type of bifurcation that appears due to the time delay, and performs numerical simulations. To see the behavior of the spread of the disease. In addition, analytical studies were carried out to determine the primary reproduction number and local stability comparison analysis for models without time delay and with time delay. The model analysis results obtained two equilibrium points, one free of disease and one endemic. In the time-delayed model, the value of the time-delay parameter is obtained, which causes the emergence of a periodic solution, meaning that there will be fluctuations in the number of individuals infected in a certain period. Numerical simulations by changing the time delay parameters and vaccination rates show that in endemic conditions, models with time delays will cause more individuals to be infected than models that do not use time delays.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89601525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}