Infinity JournalPub Date : 2024-01-29DOI: 10.22460/infinity.v13i1.p157-174
Ilfia Nur Ayuningtyas, Mohammad Faizal Amir, Mahardika Darmawan Kusuma Wardana
{"title":"Elementary school students’ layers of understanding in solving literacy problems based on Sidoarjo context","authors":"Ilfia Nur Ayuningtyas, Mohammad Faizal Amir, Mahardika Darmawan Kusuma Wardana","doi":"10.22460/infinity.v13i1.p157-174","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p157-174","url":null,"abstract":"Elementary school students' difficulties in solving literacy problems are caused by students' lack of understanding of mathematical concepts. Using a specific regional context in literacy problems is essential to analyze layers of understanding elementary school more deeply. Based on Pirie-Kieren's theory, the study aims to analyze layers of understanding elementary school students in solving literacy problems in the context of Sidoarjo. The theory consists of eight understanding layers: primitive knowing, image making, image having, property noticing, formalising, observing, structuring, and inventing. A qualitative approach with a case study type was used as the research method. The research participants were 26 fifth-grade elementary school students. The determination of the research subjects was done by purposive technique. In this, the emphasis of determining the subject is taken on three categories of understanding by having one student each in the low, medium, and high categories. The results show that the layers of understanding of elementary school students are at the highest, namely observing. In addition, literacy problems in Sidoarjo contexts can overstimulate students' understanding. The context of learning should be used in Sidoarjo. Future research recommendations suggested using the regional context as a background for literacy problems in learning or problem-solving; this is needed to explore and develop layers of understanding to a higher level.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"65 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140489913","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}
Infinity JournalPub Date : 2024-01-28DOI: 10.22460/infinity.v13i1.p139-156
Tommy Tanu Wijaya, Wahyu Hidayat, Neni Hermita, J. A. Alim, C. Talib
{"title":"Exploring contributing factors to PISA 2022 mathematics achievement: Insights from Indonesian teachers","authors":"Tommy Tanu Wijaya, Wahyu Hidayat, Neni Hermita, J. A. Alim, C. Talib","doi":"10.22460/infinity.v13i1.p139-156","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p139-156","url":null,"abstract":"As an international benchmark, the Programme for International Student Assessment (PISA) 2022 evaluates the educational performance of 15-year-old students across various countries. It has been observed that the average mathematics score globally declined in 2022. Understanding the responses of mathematics teachers, as practitioners, to the PISA 2022 results is crucial for evaluating the reasons behind this decline in mathematics scores. This research aims to explore and understand the perspectives of Indonesian mathematics teachers on the factors contributing to the low PISA 2022 mathematics scores. This study employs a qualitative approach, with participants being randomly selected and includes interviews with 36 mathematics teachers in Indonesia. According to the statements provided by teachers, the decline in mathematics scores in the 2022 PISA, relative to the years 2018 and 2015, can be attributed to six primary factors: pandemic-related issues, curriculum, individual factors, resource limitations, student factors, and parental involvement. Subsequently, mathematics teachers provided several recommendations for the government, schools, and parents that might enhance student mathematics achievement. These recommendations include conducting more training, improving ICT facilities in schools, and strengthening parental knowledge about the importance of parental support. The findings of this study offer various recommendations that could be implemented by the government, schools, and mathematics teachers to improve student mathematical achievement and potentially increase PISA scores in 2025.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"25 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139592320","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}
Infinity JournalPub Date : 2024-01-27DOI: 10.22460/infinity.v13i1.p119-138
H. Nindiasari, Muhammad Farhan Pranata, Sukirwan Sukirwan, S. Sugiman, M. Fathurrohman, Agus Ruhimat, Yuyu Yuhana
{"title":"The use of augmented reality to improve students' geometry concept problem-solving skills through the STEAM approach","authors":"H. Nindiasari, Muhammad Farhan Pranata, Sukirwan Sukirwan, S. Sugiman, M. Fathurrohman, Agus Ruhimat, Yuyu Yuhana","doi":"10.22460/infinity.v13i1.p119-138","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p119-138","url":null,"abstract":"This research develops learning media with a Science, Technology, Engineering, Art, Mathematics (STEAM) approach based on Augmented Reality (AR) to improve students' mathematical problem-solving abilities on geometric concepts. This method uses design-based research (DBR). The development stages consist of needs assessment and literature review, design and development, user testing to analyze user responses and evaluation and examination of the media devices being developed. The research subjects for expert tests included media experts and education experts, practicality tests for teachers, response tests for ten high school students, and examination stage tests for 30 high schools in Indonesia. The instruments used were media expert questionnaires, education expert questionnaires, practicality questionnaires, and tests. The media developed is called Augmented Reality Mathematics (ARM). The results of this research are 1) ARM media expert test in the very good category, 2) ARM educational media expert test in the very good category, 3) ARM media practicality test in the good category, 4) responses from students who use ARM media in the very good category, and 5) ARM media can improve mathematical problem-solving abilities in the moderate category. The findings of this research are that AR media is effectively used to improve students' problem-solving abilities in medium-category geometry concepts using the STEAM approach. This research concludes that using ARM media with STEAM learning can improve problem-solving abilities in geometric concepts.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"60 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140493055","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}
Infinity JournalPub Date : 2024-01-23DOI: 10.22460/infinity.v13i1.p99-118
R. Oktaviyanthi, R. Agus, Mark Lester B. Garcia, Kornkanok Lertdechapat
{"title":"Cognitive load scale in learning formal definition of limit: A rasch model approach","authors":"R. Oktaviyanthi, R. Agus, Mark Lester B. Garcia, Kornkanok Lertdechapat","doi":"10.22460/infinity.v13i1.p99-118","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p99-118","url":null,"abstract":"Constructing proofs for the limit using the formal definition induces a high cognitive load. Common assessment tools, like cognitive load scales, lack specificity for the concept of limits. This research aims to validate an instrument tailored to assess cognitive load in students focused on the formal definition of limits, addressing the need for diverse strategies in education. The research employs a quantitative survey design with a Rasch model approach, utilizing a data collection instrument in the form of a questionnaire. Subsequently, the data are analyzed by focusing on three aspects: (1) item fit to the Rasch model, (2) unidimensionality, and (3) rating scale. A total of 315 students from three private universities in Banten participated as research respondents. The findings of this study affirm the validity of the cognitive load scale centered on the formal definition of limit, meeting the stringent standards set by Rasch modeling. Additionally, the results of the study provide evidence of the scale’s adherence to the monotonic principle of the Rasch model. These outcomes contribute to a comprehensive understanding of cognitive load in the context of learning formal definition of limit, providing a solid foundation for instructional design and assessment strategies.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"42 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139603593","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}
Infinity JournalPub Date : 2024-01-15DOI: 10.22460/infinity.v13i1.p83-98
Gilbert Gumarao Baybayon, M. R. Lapinid
{"title":"Students’ common errors in quadratic equations: Towards improved mathematics performance","authors":"Gilbert Gumarao Baybayon, M. R. Lapinid","doi":"10.22460/infinity.v13i1.p83-98","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p83-98","url":null,"abstract":"With the aim to close the performance gap between the high performing and the low performing students, this descriptive qualitative study was conducted to analyze students’ common and persisting errors in quadratic equations. Forty-six (N=46) Grade 9 students in a public high school in the Philippines participated in the study. Homework was given where students received instructions from video recordings and other online learning materials using blended learning. The common errors students committed were not following directions, mishandling signs, difficulty in recognizing a quadratic equation, inability to distinguish between solving a quadratic equation and simplifying an algebraic expression, failure to express quadratic equations in standard form, disregarding the negative roots, computational errors in basic algebraic conventions in simplifying radical and rational expressions, factoring, performing special products, and in completing the square. Students were interviewed to validate the error analysis. Immediate feedback through a whole class discussion was conducted the following day to discuss the errors and mistakes committed by students in order to address these and help them learn the necessary concepts and skills in quadratic equations. Instructional strategies and interventions for teaching quadratic equations are recommended for future studies.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":" 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139622265","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}
Infinity JournalPub Date : 2024-01-10DOI: 10.22460/infinity.v13i1.p66-82
Surya Sari Faradiba, Alifiani, Nurul Akmal Md Nasir
{"title":"The resolution of quadratic inequality problems in mathematics: Discrepancies between thought and action","authors":"Surya Sari Faradiba, Alifiani, Nurul Akmal Md Nasir","doi":"10.22460/infinity.v13i1.p66-82","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p66-82","url":null,"abstract":"This research explores the intricate relationship between students' cognitive processes and problem-solving approaches, explicitly focusing on misconceptions in solving quadratic inequalities. This study was conducted among 179 undergraduates in a mathematics education program in Malang, East Java, Indonesia; this mixed-method concurrent explanatory sequential design research employed the DISC questionnaire and quadratic inequality assignments. The DISC questionnaire categorized respondents into Dominance, Influence, Steadiness, and Conscientiousness. Data were generated from these pre-service teacher responses to the questionnaire, task assignment, and follow-up interviews to solicit information. Purposive sampling facilitated in-depth interviews, providing nuanced insights into the interplay between personality types and mathematical misconceptions. The quantitative data analysis results show a significant association between personality type and the type of error experienced by students when completing an open-ended task about quadratic inequalities X2(12) = 26.836, p = 0.008, V = 0.224. Meanwhile, qualitative data analysis findings reveal patterns associating personality types with specific misconceptions. Dominant traits are linked to theoretical misconceptions, while Influence and Conscientiousness traits correspond to conceptual misconceptions. Additionally, Steady traits are associated with classification misconceptions. This study contributes novel perspectives to mathematics education by exploring the influence of personality on mathematical cognition. The aim is to inform tailored teaching strategies for optimized learning outcomes, addressing persistent barriers posed by misconceptions in quadratic inequalities.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"4 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438906","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}
Infinity JournalPub Date : 2023-11-16DOI: 10.22460/infinity.v13i1.p45-60
N. Ishartono, Rafiza binti Abudal Razak, M. Kholid, J. Arlinwibowo, Asyifa Nur Afiyah
{"title":"Integrating STEAM into flip flop model to improve students’ understanding on composition of functions during online learning","authors":"N. Ishartono, Rafiza binti Abudal Razak, M. Kholid, J. Arlinwibowo, Asyifa Nur Afiyah","doi":"10.22460/infinity.v13i1.p45-60","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p45-60","url":null,"abstract":"Some previous studies tried to improve students' understanding of the concept of the composition of functions. However, only some research results still examine efforts to increase student understanding of the concept taught online, especially by utilizing the STEAM-integrated Flip Flop learning model. Therefore, the purpose of this study is to analyze the level of effectiveness of the application of the STEAM-integrated Flip Flop model in increasing students' understanding of composition function material taught online. To answer the purpose of the study, the authors compared the model with the Flipped Learning model and the conventional learning model. The quantitative method with a pretest-posttest control group design model is employed in the present study by engaging 90 Indonesian senior high school students. This study finds that the STEAM-integrated Flip Flop model is significantly better at improving students' understanding of the composition of function concepts than conventional models. However, the same result is not found if compared with the Flipped Learning model. Though the average score of the STEAM-integrated Flip Flop model is better than the Flipped Learning model, the difference is not significant. This study also describes the related syntax of the STEAM-integrated Flip Flop model that high school math teachers can use to teach better composition functions online.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"9 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139269544","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":"Demotivating factors in teaching mathematics: A study of Albanian teachers","authors":"Lekë Pepkolaj, Mónica Arnal-Palacián, Nuria Begué, Rully Charitas Indra Prahmana","doi":"10.22460/infinity.v13i1.p27-44","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p27-44","url":null,"abstract":"Several studies have highlighted the existence of demotivated teachers in schools. There are several demotivating factors that influence the decisions and commitment that a teacher can acquire. The literature review allows us to characterize the factors that different authors identify to explain teacher demotivation. This article aims to analyze some of the factors that influence mathematics teachers' demotivation and the evaluation of the degree of demotivation in relation to work environment, teaching autonomy, extrinsic values, and students. The information was collected from a questionnaire consisting of 24 items, which was given to 121 active Albanian teachers teaching at different levels of education. These data were analyzed using a quantitative methodology. The independent variables gender, teacher's age, qualification, pupils' age, and type of school are also considered to perform a multivariate analysis. From the results obtained, we can state that the factors that generate the greatest demotivation are textbooks, political conversion and corruption, aspects related to the curriculum, and the costs they must bear. In addition, school status, curriculum changes, meritocracy, material costs, autonomy, and research significantly explain the demotivation of public sector teachers. It highlights the need to seek structured responses aimed at regulating teaching careers.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136112246","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 representation: A bibliometric mapping of the research literature (2013–2022)","authors":"Fredi Ganda Putra, Dewi Lengkana, Sugeng Sutiarso, Nurhanurawati Nurhanurawati, Antomi Saregar, Rahma Diani, Santi Widyawati, Suparman Suparman, Khoirunnisa Imama, Rofiqul Umam","doi":"10.22460/infinity.v13i1.p1-26","DOIUrl":"https://doi.org/10.22460/infinity.v13i1.p1-26","url":null,"abstract":"Mathematical representation ability is an essential skill for students to understand mathematical concepts. Many studies have been conducted regarding this ability, but it is necessary to map existing research to provide a clearer picture of future research topics. This study aims to provide a bibliometric review of trends using mathematical representation skills in mathematics teaching research. The method in this study is bibliometric analysis, which aims to analyze and classify bibliographic material by presenting representative summaries of the literature in the Scopus database. The search was carried out using the keyword \"mathematical representation\" and selecting \"article title\" in the search menu in the Scopus.com database. Perish or Publish (PoP) software analyzes the author's name, number of document citations, document title, year of publication, document source, publisher, and document type. The results showed 99 publications and 357 citations related to mathematical representations, where the number of publications and citations fluctuated. The application of learning models and approaches, computer media, and analysis of mathematical representations is a research trend related to this variable. Therefore, paying attention to mathematical representations in learning mathematics and using effective strategies to improve students' mathematical representation abilities is essential. The findings of this study indicate the need to develop syntax and learning media based on mathematical representations to strengthen students' mathematical abilities.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135198109","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":"Combination of mathematical literacy with ethnomathematics: How to perspective sundanese culture","authors":"Uba Umbara, Sufyani Prabawanto, Mohamad Gilar Jatisunda","doi":"10.22460/infinity.v12i2.p393-414","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p393-414","url":null,"abstract":"Mathematical literacy and ethnomathematics are the two main approaches to understanding mathematics in everyday life. Research on the two aspects should be conducted in an integrated manner. It is expected to be a reference for the development of urban mathematics education based on the social requirements of mathematics and individuals' mathematical competence in a cultural group. The primary goal of this research is to describe the Sundanese people's mathematical literacy through an ethnomathematical perspective. The research is focused on living equipment systems and technology, which is one of the elements of the seven universal culture elements. The study employed phenomenographic and ethnomethodological approaches with a realist ethnographic design. Participant observations and interviews were chosen as data collection techniques, while content analysis, triangulation, and identification of patterns were chosen as data analysis techniques. Ethnomathematics in living equipment systems and technology consists of counting, measuring, explaining, discovering, designing, and explaining activities. The results show that the ethnomathematics of the Sundanese community are relevant to the aspects of mathematical literacy consisting of content, context, and mathematical processes. The study's results emphasize that mathematical literacy and ethnomathematics cannot be separated from daily life.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135199700","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}