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'mathematical thinking' Search Results

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Traditional houses are part of the culture of every country. Indonesia is a country that has a variety of traditional houses. The traditional Banyuwangi house is known as the Using house. This house can be explored in terms of ethnomathematics and used as part of learning mathematics. This research is focused on knowing and describing mathematics learning that integrates the ethnomathematics of Using house, thematic, and connected models. The research was also conducted to determine the effectiveness of the learning that has been carried out. The results showed that the use of the Using house in ethnomathematical-thematic-connected-based mathematics learning: (1) could be done using the trivium concept (literacy, matheracy, and technoracy); (2) can be done thematically by integrating four subjects (Indonesian, social sciences, fine arts, and mathematics); (3) can be connected by integrating two mathematical concepts (two-dimensional geometry and arithmetic); (4) through seven phases of learning; and (5) effective because 80% of students can solve problems as expected.

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10.12973/ijem.8.3.535
Pages: 535-549
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2

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The study discussed in this paper is a systematic literature review related to the role of dual language programme (DLP) in mathematics education which has been published within the last 5 years. This study was conducted to identify the distribution of DLP studies in terms of year of publication, the study context covered in previous studies, the context of study areas used, focus and trends of past studies, research methods used in previous studies and the role of language in school mathematics education. This review study followed the guidelines of Preferred Reporting Items for Systematic Reviews and Meta-Analyzes (PRISMA) to analyze articles from Scopus and Web of Science. The findings of the study indicate that research trends in the implementation of the DLP on mathematics education for secondary school students showed an increase from 2017 to 2019. Most DLP-related articles are widely developed in the United States and Germany. The findings indicate that previous studies are more interested in studying the implementation of DLP in rural areas. Past studies have also preferred to use the design of either a qualitative study or a quantitative study to be implemented. Questionnaires, tests and interviews are among the research instruments that are often used for a study.

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10.12973/ijem.8.4.669
Pages: 669-686
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474
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Rethinking the Components of Regulation of Cognition through the Structural Validity of the Meta-Text Test

metacognition performance-based testing regulation of cognition structural validity

Marcio Alexander Castillo-Diaz , Cristiano Mauro Assis Gomes , Enio Galinkin Jelihovschi


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The field of studies in metacognition points to some limitations in the way the construct has traditionally been measured and shows a near absence of performance-based tests. The Meta-Text is a performance-based test recently created to assess components of cognition regulation: planning, monitoring, and judgment. This study presents the first evidence on the structural validity of the Meta-Text, by analyzing its dimensionality and reliability in a sample of 655 Honduran university students. Different models were tested, via item confirmatory factor analysis. The results indicated that the specific factors of planning and monitoring do not hold empirically. The bifactor model containing the general cognition regulation factor and the judgment-specific factor was evaluated as the best model (CFI = .992; NFI = .963; TLI = .991; RMSEA = .021). The reliability of the factors in this model proved to be acceptable (Ω = .701 & .699). The judgment items were well loaded only by the judgment factor, suggesting that the judgment construct may actually be another component of the metacognitive knowledge dimension but having little role in cognition regulation. The results show initial evidence on the structural validity of the Meta-Text and give rise to information previously unidentified by the field which has conceptual implications for theorizing metacognitive components.

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10.12973/ijem.8.4.687
Pages: 687-698
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786
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Scopus
1

Knowledge, Skills and Attitude of Pre-Service Mathematics Teachers Towards Higher-Order Thinking Skills

exposure higher-order thinking skills teaching

Norhayati Ahmat , Nor Afzalina Azmee , Nurul Huda Mo hamed , Zamzana Zamzamir , Nur Syuhada Zahari , Sabarina Shafie , Nurul Akmal Mohamed , Raja Noor Farah Azura Raja-Ma’amor-Shah


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This research was aimed to determine the level of knowledge, skills and attitude of pre-service Mathematics teachers in Universiti Pendidikan Sultan Idris (UPSI) towards higher-order thinking skills (HOTS) and whether the elements of HOTS were translated into the teaching courses. The research was also designed to analyze the relationship between the pre-service Mathematics teachers’ exposure to HOTS through the teaching courses and their level of knowledge, skills and attitude towards HOTS. The study utilized a quantitative approach by administration of a survey to a simple random sample of 110 pre-service Mathematics teachers from UPSI. A questionnaire with five different parts was used as the research instrument with a reliability value of .979. The collected data were then analyzed using descriptive and inferential statistics. The descriptive statistics were used to determine the mean scores of the level of knowledge, skills and attitude among the pre-service Mathematics teachers, whereas inferential statistics using Pearson-r correlation was implemented to describe the relationship between the studied variables. The findings demonstrated that the knowledge and skills of pre-service Mathematics teachers towards HOTS were at a moderate level as opposed to their attitude and exposure to HOTS which were found to be at a high level. The data analysis using Pearson correlation illustrated a significant positive relationship with r = .727, r = .757 and r = .667 between the exposure to HOTS through the teaching courses and the level of knowledge, skills and attitude regarding HOTS of pre-service Mathematics teachers at UPSI, respectively. In conclusion, the research here indicates that pre-service Mathematics teachers in general, are positive towards the implementation of HOTS but they are lacking in terms of knowledge and skills. This research is useful in the field of Mathematics education as it can serve as a guidance to further enhance the knowledge, skills and attitudes especially for future Mathematics teachers in implementing HOTS effectively and improving the quality of the teaching program offered by the university indirectly.

description Abstract
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10.12973/ijem.8.4.795
Pages: 795-804
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373
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679
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1

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Mathematics learning is essential for children with special needs (CSN). The process of learning mathematics at the CSN can be started from concrete to abstract. During the math learning process, many gestures are produced by CSN. Gestures can direct the individual to take and understand the implied meaning of any movement or facial expression. The problem formulated in this study is how the CSN gesture in learning mathematics and aims to describe the gesture produced by CSN during the mathematics study. The subject in this study was the CSN with an autistic category. Research is conducted by observing the mathematical learning process. This research uses a qualitative approach. Data is collected with an observation technique using an audio-visual camera and is subsequently analyzed qualitatively. The results showed that the fundamental characteristics of CSN in math learning could be seen from the gesture. Each gesture contains verbal meaning and can represent how they think they are in understanding mathematical problems. Another characteristic is indicated by repeated actions (gesture pointing repeatedly). This condition indicates the special attention and confidence of CSN toward the object being observed.

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10.12973/ijem.9.1.1
Pages: 1-11
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Internal and external assessment instruments, such as the Vanuatu Standard Test of Achievements (VANSTA) and the Pacific Island Literacy and Numeracy Assessment (PILNA), reveal that mathematics achievements in the Republic of Vanuatu remain below the minimum standard. This study drew on the constructivist grounded theory approach to explore teachers' perspectives of the learning and teaching processes in mathematics education in the Republic of Vanuatu. Specifically, the focus was on the ‘I do-we do-you do’ approach of teaching, which is common in mathematics education in the country. Teachers' opinions about the current situation of mathematics education and possibilities for improving it were extracted using semi-structured interviews with 22 teachers from two randomly selected urban schools. Based on the constructivist grounded theory analysis, four major interlink themes were found. Overall, the findings show that mathematics achievements in the country can be improved through proven discovery-learning strategies for stimulating students' mathematical thinking in the 21st century, such as the ‘try-understand-apply-mastered’ (TUAM) discovery learning process.

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10.12973/ijem.9.1.123
Pages: 123-138
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The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students’ mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric problems with novel auxiliary features such as straight lines and curved lines. In other words, this study determined if geometry knowledge influenced mathematical creativity (cognitive flexibility) in problem-solving. Grade-12 students participated in the intervention. The high school that is the research topic attempts to equip students with academic abilities and is, except for vocational schools, the most popular form of high school among all other types. Such a school was chosen for the study so that a significant proportion of students in Makassar could be represented. In this study, we discovered a relationship between cognitive flexibility and the geometric ability of pupils while solving problems involving auxiliary lines. This indicates that the usage of auxiliary lines as a reference for developing pupils’ creative thinking skills must be advocated. In addition, good geometric abilities (e.g., visual thinking, geometrical reasoning) will encourage pupils to generate various problem-solving concepts. This finding contributes significantly to future research by focusing on auxiliary lines.

description Abstract
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10.12973/ijem.9.1.139
Pages: 139-150
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406
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Effects of Worksheets on Problem-Solving Skills: Meta-Analytic Studies

effect meta-analytic problem-solving skill worksheet

Sri Adi Widodo , Astuti Wijayanti , Muhammad Irfan , Widowati Pusporini , Siti Mariah , Siti Rochmiyati


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The purpose of this study was to compile and statistically analyze the results of research studies that examined students' problem-solving skills in worksheets. The research method used was a meta-analysis. The study search was conducted from 2013 to 2022 in Google Scholar and the Garuda portal databases. The search yielded 40 studies that met the inclusion criteria for extraction from research and development, experimental, and quasi-experimental. From the extracted results, 45 comparisons of data were examined. Microsoft Excel was used to calculate the effect size of the problem-solving worksheet. This study yielded a value of 1.281 for the entire study, indicating that the worksheet had a significant and positive impact on students' problem-solving skills. The results indicate the need to develop worksheets to improve students' problem-solving skills.

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10.12973/ijem.9.1.151
Pages: 151-167
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588
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610
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Bloom’s Taxonomy Revision-Oriented Learning Activities to Improve Procedural Capabilities and Learning Outcomes

bloom’s taxonomy revision learning outcomes procedural capabilities

Made Aryawan Adijaya , I Wayan Widiana , I Gusti Lanang Agung Parwata , I Gede Wahyu Suwela Antara


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The implementation of learning activities in schools has not provided opportunities or encouragement for students in developing their procedural knowledge. This research aimed to test the effectiveness of developing Bloom’s Taxonomy revision-oriented learning activities to grade IV elementary learners’ procedural knowledge capabilities and learning outcomes. This research used quasi-experiment with a quasi-experimental design which consisted of a posttest-only control design. The population of this study was sixth-grade students of 9 schools with an overall number of 229 students. The sample in the study was 50 students, there were 26 students from the experimental class and 24 students from the control class. A test method with 10 question items was used as a data collection method. The data analysis methods and techniques used were quantitative descriptive analysis and inferential statistical analysis. Then the data were analyzed using the MANOVA test assisted by the IBM SPSS Statistics 21.0 program. The hypothesis test results showed a significance value of .000 (Sig<.05). It can be concluded in procedural capabilities and learning outcomes between groups of students there is a significant difference from following learning by implementing Bloom's Taxonomy Revision oriented learning activities with the experimental and control group.

description Abstract
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10.12973/ijem.9.1.261
Pages: 261-270
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604
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Scopus

Proportional and Non-Proportional Situation: How to Make Sense of Them

characteristics of mathematics teachers non-proportional situations proportional situations

Yandika Nugraha , Cholis Sa'dijah , Susiswo , Tjang Daniel Chandra


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Teacher knowledge is one of the main factors in the quality of mathematics learning. Many mathematics teachers have difficulty using proportional reasoning. Proportional reasoning is one of the essential aspects of the middle school mathematics curriculum to develop students' mathematical thinking. Teachers should realize that developing proportional reasoning is not an easy task. In this study, we investigated how teachers give proportional reasoning about the concept of proportional and non-proportional situations, especially in making sense of them. The research subjects were mathematics teachers who had taught proportional-related material. Data was collected using task-based interviews outside the teacher's working hours. Data analysis and interpretation were completed using a framework meaning-based approach. The results of the data analysis showed that the teacher is careful in understanding information, is aware of multiple meanings, and knows key information in understanding the contextual structure of proportional and non-proportional situations. Furthermore, they are also able to identify additive and multiplication relationships, have flexibility in understanding proportional and non-proportional situations separately or collectively, and understand problem-solving systematics in detail.

description Abstract
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10.12973/ijem.9.2.355
Pages: 355-365
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534
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This exploratory and descriptive study aims to theoretically promote the schema of pseudo-thinking processes in mathematical problem-solving by students. The participants in this study were 36 eighth graders and one math teacher. The researchers collected the data using tests and interviews. The results showed that the structure of pseudo-thinking based on the processes of assimilation and accommodation is theoretically composed of five hierarchical components, namely (a) the structure of the problem, (b) the structure of the subject's thinking, (c) the analytic process, (d) the integration of structures or substructures, and (e) the complete integration of structures. When the subject integrates incomplete substructures into existing thinking schemes, assimilation or accommodation becomes imperfect, resulting in cognitive disequilibrium. The results of such a thought process are called pseudo-thinking. Pseudo-thinking processes can be refined and improved into actual thinking processes through reflection and scaffolding. Assimilation and accommodation occur through defragmentation or organization to rearrange the internal schema so that full structural integration occurs. In the end, the subject experiences cognitive equilibrium so that it becomes an actual student thought process.

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10.12973/ijem.9.3.477
Pages: 477-491
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254
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533
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Cognitive Conflict Based on Thinking Errors in Constructing Mathematical Concept

cognitive conflict misplaced concepts misanalogy pseudo thinking thinking errors

Iwan Setiawan HR , Purwanto , Sukoriyanto , I Nengah Parta


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This study aims to evaluate cognitive conflict in constructing mathematical concepts, based on thinking errors. The data were collected through observations of words or sentences, leading to the derivation of qualitative outputs. Furthermore, the results showed that the two selected subjects experienced cognitive conflicts regarding thinking errors in mathematical concept construction. This selection process was conducted through the provision of the questions obtained in the first semester of mathematics, at Universitas Negeri Makassar, Indonesia. These questions consisted of several indicators, with each of them having three components, namely the main, tracking, and supporting items. Based on the results, two subjects experienced thinking errors in constructing the concept of algebraic root form addition. This emphasized the errors in placing concepts (misplaced), pseudo-thinking, and misanalogy. A conflict was also observed between the initial concept knowledge of using variables in algebraic addition and the new principles understood through the root summation in algebra. Furthermore, there was also a conflict between the concept understanding he had in terms of the addition operation of the root form and a new understanding of the addition operation of the root form in algebra.

description Abstract
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10.12973/ijem.9.4.631
Pages: 631-643
cloud_download 331
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509
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Active learning (AL) techniques invite students to participate actively, either physically or mentally, in the learning process so that they can change their behavior efficiently to achieve great achievement. Still, there is insufficient knowledge concerning the dimensions of AL techniques for business subjects of secondary school students in Malaysia. Thus, the research’s goal is to assist in the determination of the instruments’ reliability to measure the AL techniques measurement scale for business subjects’ students using exploratory factor analysis (EFA) as well as reliability analysis. Moreover, this research conducted a self-administered survey among secondary school students who have taken business subjects as their elective subjects. From secondary schools in Negeri Sembilan, Malaysia, 123 respondents were randomly chosen for the sample. To measure the AL constructs, the study retained 30 items developed because no items have been omitted since the factor loading turned out higher than the 0.50 cut-off point and was used as a tool for data collection. Essentially, this research empirically validates the dimension which helps lead to AL techniques in business subjects that are improved, and the findings are particularly beneficial to secondary school students in Malaysia.

description Abstract
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10.12973/ijem.9.4.671
Pages: 671-684
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385
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An Exploration into the Impact of Flipped Classroom Model on Cadets’ Problem-Solving Skills: A Mix Method Study

flipped classroom mix method problem-solving skill

Muhammad Ivan , Maria Ulfah , Awalludin Awalludin , Novarita Novarita , Rita Nilawijaya , Di’amah Fitriyyah


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Many education and learning experts currently recommend the flipped classroom model as an alternative to learning after the COVID-19 pandemic. This study aims to explore the impact of the flipped classroom model on social skills and problem-solving skills for cadets. This research used a sequential mix method involving 50 maritime students in semester 7 of the Engineering Study Program at the Maritime Sciences Polytechnic Makassar, South Sulawesi, Indonesia. Researchers used two main instruments, namely problem-solving skill tests and interviews. Furthermore, in the quantitative analysis, the researcher ran paired sample t-tests and one-way Multivariate Analysis of Covariance (MANCOVA) using the SPSS 25.00 program. In addition, researchers also analysed qualitative data from interviews using thematic analysis techniques. The results showed that the flipped classroom model proved to have a positive effect on the problem-solving skills of maritime students. Other findings state that the cadets also respond positively to the flipped classroom model. Researchers recommend that teachers use the flipped classroom model, especially in dealing with learning in the post-pandemic era, like today.

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10.12973/ijem.9.4.745
Pages: 745-759
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This research article focuses on the design and validation of a questionnaire to analyse future teachers' perceptions of professional skills through the use of Augmented Reality (AR) in higher education, specifically for students in the field of Educational Sciences. The sample consisted of 575 students of Early Childhood Education, Primary Education and Pedagogy during the academic year (2021/2022). The focus of this study is to authenticate a questionnaire that measures the influence of Augmented Reality (AR) on aspects such as situated learning, motivation, and the necessary instructional preparations for the successful integration of AR within classroom educational encounters. The questionnaire is an online Likert-type scale developed based on three dimensions: situated learning, motivation and training. The data were analysed using the Statistical Package for the Social Sciences (SPSS) version 25 and JASP 0.17.1. The questionnaire met the standards recommended for validation. However, improvements to the instrument are suggested. In conclusion, validation of instruments is necessary to gain a rigorous understanding of the impact of new learning environments.

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10.12973/ijem.9.4.787
Pages: 787-799
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Integrating Computational Thinking Into Mathematics Class: Curriculum Opportunities and the Use of the Bee-Bot

bee-bot computational thinking mathematical thinking primary education

Carolina Salinas , María José Seckel , Adriana Breda , Carmen Espinoza


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The incorporation of Computer Science teaching in educational systems has increased in recent years. Given international interest, Chile has promoted projects to promote the development of students' digital skills. Focusing on this new educational context, this research reports the results regarding the identification of computational concepts and practices that can be articulated with the contents and skills of the curriculum. of Chilean mathematics. for first grade of primary school based on the use of the Bee-Bot robot. For this, the study followed a qualitative approach, developing a case study of the Chilean study program with the content analysis technique and using, as analysis categories, computational concepts and practices from the field of educational computing. In total, 30 learning objectives of the study program were analyzed. The results indicate that, although there is little articulation between computational concepts and first grade content proposed in the curriculum, there is greater articulation between computational practices and mathematical skills suggested in the Chilean curriculum. It is concluded that Computational Thinking can be developed from the earliest school levels using the Bee-Bot robot (or similar), and this is demonstrated by the structure of the Chilean primary mathematics curricular program.

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10.12973/ijem.10.1.937
Pages: 137-149
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The review article presents an analysis of the literature on environmental literacy in sustainable development. By utilizing techniques to examine multiple documents published between 2013 and 2023, including citation analysis, co-authorship analysis, subject area analysis, and keyword analysis, this study aims to provide valuable information and insights into the research landscape surrounding environmental literacy and its contribution to promoting sustainable development. A systematic search was conducted to gather several scientific articles, conference papers, and publications from the Scopus database from 2013 to 2023. The findings of this analysis shed light on authors, influential institutions, and active research groups that contributed to the study of environmental literacy and sustainable development. This comprehensive review offers an understanding of the state of research in this field while identifying areas for further exploration and research gaps. The insights gained from this study can be highly beneficial for researchers, policymakers, and practitioners seeking to advance knowledge and take action toward promoting literacy's role in sustainable development. This analysis is a foundation for advancing our understanding of literacy's significance while emphasizing its vital role in sustainable development efforts.

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10.12973/ijem.10.1.979
Pages: 179-195
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Mathematical modeling offers a promising approach to improving mathematics education. This study aims to determine if the concept of metacognitive awareness in the learning process is associated with mathematical modeling. This study also considers the interaction effect of sex and academic year level on both variables. Focusing the study on preservice elementary teachers might address potential issues and targeted intervention in their preparation program concerning their ability to teach and guide young learners in modeling activities. The research sample includes 140 preservice elementary teachers at Central Luzon State University, Philippines. Data collection used an adapted metacognitive awareness inventory and a validated researcher-made mathematical modeling competency test aligned with the K-12 mathematics curriculum in the Philippines. Results revealed that the preservice elementary teachers had a high metacognitive awareness and mathematical modeling competency, ranging from 22 to 31 out of 36 points. Besides, Factorial ANOVA indicates that academic year level positively affects both variables regardless of sex, and stepwise regression analysis unveiled that information management, declarative knowledge, and planning significantly predict 41.4% of the mathematical modeling competency variance. This suggests that developing metacognitive awareness supports preservice elementary teachers in performing modeling tasks that improve their competency level in mathematics.

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10.12973/ijem.10.1.1079
Pages: 279-292
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