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'mathematical modeling' Search Results

Validating Student’s Green Character Instrument Using Factor and Rasch Model

green character instrument factor and rasch analysis

Akhmad Sukri , Muhammad Arief Rizka , Elly Purwanti , Siti Ramdiah , Marheny Lukitasari


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Many researchers have separately developed instruments to measure environmental characteristics such as attitudes, values, and knowledge. However, there is no instrument used to measure all these aspects in one comprehensive instrument. This study is meant to develop and validate a green character instrument which reveals student behavior and awareness of the environment. The instrument consists of 40 statement items consisting of 5 aspects, namely private pro-environmental behavior, public pro-environmental behavior, environmental knowledge, environmental values, and environmental attitudes. It was implemented on 1,398 students from 15 universities in Indonesia. The instrument content validation was analyzed by three experts using content validity index (CVI). The construct validity was analyzed using exploratory factor analysis, confirmatory factor analysis, and RASCH analysis. The content validity results obtained CVI scores ranging between 0.8 and 0.9 with a good category, while item reliability was in a fairly good category with a high level of separation index. Construct validation resulted in 34 items (4 items were eliminated after Exploratory and Confirmatory Factor Analysis, and 2 items were eliminated after RASCH analysis) spread over five constructs, namely environmental behavior, environmental knowledge, environmental values, environmental attitudes, and environmental habits. The resulting instrument has a good level of item difficulty, with a well understood response set which can be understood easily by respondents, and without bias. Therefore, it can be used to measure the students’ green character on both male and female.

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10.12973/eu-jer.11.2.859
Pages: 859-872
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Misconceptions are one of the biggest obstacles in learning mathematics. This study aimed to investigate students’ common errors and misunderstandings they cause when defining the angle and the triangle. In addition, we investigated the metacognition/ drawing/ writing/ intervention (MDWI) strategy to change students’ understanding of the wrong concepts to the correct ones. A research design was used to achieve this goal. It identified and solved the errors in the definition of angle and triangle among first-year students in the Department of Mathematics Education at an excellent private college in Mataram, Indonesia. The steps were as follows: A test instrument with open-ended questions and in-depth interviews were used to identify the errors, causes, and reasons for the students’ misconceptions. Then, the MDWI approach was used to identify a way to correct these errors. It was found that students generally failed in interpreting the concept images, reasoning, and knowledge connection needed to define angles and triangles. The MDWI approach eliminated the misconceptions in generalization, errors in concept images, and incompetence in linking geometry features.

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10.12973/eu-jer.11.3.1797
Pages: 1797-1811
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758
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This research is a developmental research aiming at developing a good mathematical test instrument using polytomous responses based on classical and modern theories. This research design uses the Plomp model, which consists of five stages, (1) preliminary investigation, (2) design, (3) realization/construction, (4) revision, and (5) implementation (testing). The study was conducted in three vocational schools in Lampung Province, Indonesia. The study involved 413 students, consisting of 191 male and 222 female students. The data were collected through questionnaire and test. The questionnaire was used to identify the assessment instruments currently employed by teachers and to be validated by the experts of mathematics and educational evaluation. The test used an open polytomous response test numbering of 40 items. The data were analyzed using both classical and modern theories. The results show that (1) the open polytomous response test has a good category according to classical and modern theory. However, the discrimination power of test items in classical theory needs several revisions, (2) the assessment instrument using the polytomous response of open multiple choice can guarantee information on the actual competence of students. This is proven by the fact that there is a harmony between the analysis result obtained from classical and modern theory from the students' arguments when giving reasons for their choices. Therefore, the open polytomous response test can be used as an alternative to learning assessment.

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10.12973/eu-jer.11.3.1441
Pages: 1441-1462
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365
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559
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Mathematics anxiety has always been an interesting topic to study and discuss in the world of education. This study aimed to (1) investigate the impact of teacher roles, mathematics content, and mathematics anxiety on learning motivation, and (2) explore how students manage mathematics anxiety as a stimulus in learning motivation. This research used mixed methods with embedded concurrent design. The research sample was 100 respondents. The questionnaire instrument was arranged based on a Likert scale with 5 answer choices. This study used a structural equation model and confirmatory factor analysis as data analysis methods. The research findings indicated that: (1) a significant direct impact emerged between mathematics anxiety and students' learning motivation, and there was an indirect impact between the teacher's role and mathematics content on learning motivation; (2) students could manage mathematics anxiety when they were in optimal anxiety or positive anxiety so that they could overcome mathematics anxiety as a stimulus for achievement and deconstruct anxiety into motivation according to experience and personal resources. Results of this study confirmed that the statements about mathematics anxiety which always has a negative impact on motivation and learning achievement is not universal, because mathematics anxiety does not always have a negative impact on motivation and learning achievement if this anxiety is managed effectively.

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10.12973/eu-jer.11.3.1683
Pages: 1683-1697
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This study aimed to investigate the impacts of enrolling in the creative teaching module in science, technology, engineering, and mathematics (STEM) education from high school students’ perspectives. This study applied a case study and qualitative research approach involving 26 Grade 11 students and 31 Grade 8 students. The creative teaching-STEM (CT-STEM) module, which comprised various activities related to energy literacy in real-world situations for the community’s well-being, involved outdoor STEM education activities with the assistance of two science teachers. The CT-STEM module was developed based on the directed creative process model by applying four creative teaching strategies: (i) constructivism learning, (ii) discovery inquiry, (iii) problem-based learning, and (iv) project-based learning. The theme of these out-of-classroom activities is sustainability education, focusing on energy sustainability. The results showed that the planned approaches could positively impact and build students’ creativity and create an exciting learning experience. Furthermore, the findings from the open-ended questionnaire instrument, observations, and analysis of the worksheets have shown enhancements in five themes: the development of problem-solving skills with an emphasis on the element of sustainability education, high-level thinking skills, active learning skills, communication skills, and humanity skills. The students also showed an increased interest in STEM as they learned using the CT-STEM module.

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10.12973/eu-jer.11.4.2127
Pages: 2127-2137
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653
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3

Analysis of the Effect of Social Skills and Disposition of Digital Literacy on Mathematical Literacy Ability

digital literacy disposition mathematical literacy social skills

Busnawir Busnawir , Kodirun Kodirun , Nana Sumarna , Zulham Alfari


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This study aims to analyze the characteristics of social skills, digital literacy disposition, and mathematical literacy abilities of 49 students; to analyze the theoretical model of the direct and indirect influence of digital literacy skills and social skills on mathematical literacy skills. The number of samples is 49 of the 12th-grade students at state high school #1 Southern Konawe. The research instruments consisted of a mathematical literacy ability test, a social skills questionnaire, and a digital literacy disposition questionnaire. The data were analyzed by descriptive statistics and structural equational models (SEM) with a Smart PLS 3.0 application. The results showed that students' mathematical literacy skills tended to be better on content and context indicators but they are weak on competency and process indicators. Students' social skills tend to be better on indicators of peer-relationship skills and self-management skills, but are also weak on indicators of academic skills and compliance skills. Mastery of the digital literacy disposition tends to be better on the internet searching, content evaluation, and information sharing indicators but is still weak on knowledge assembly. Furthermore, it was found that (a) social skills have a direct effect on digital literacy disposition but do not directly affect mathematical literacy skills; (b) the digital literacy disposition has a direct effect on mathematical literacy skills.

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10.12973/eu-jer.12.1.59
Pages: 59-69
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Development research demands a improvement in the implementation of learning by developing products based on learning needs. The products of this development are teacher book and student book based on the realistic mathematic education (RME) approach for package A in statistics material. Validity testing in this study includes instrument validation, self-evaluation, expert validation, one-to-one evaluation. Aiken's V and Intraclass Correlation Coefficient (ICC) are used to determine the validity and reliability of the product. The result of research shows that the instruments and prototype are valid and feasible. Then, the ICC obtained moderate stability, it also categorize reliable. In terms of context and hypothetical learning trajectory (HLT) developed, the products should be revised to achieve meaningful learning.

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10.12973/eu-jer.12.1.119
Pages: 119-131
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The Effectiveness of Teaching Derivatives in Vietnamese High Schools Using APOS Theory and ACE Learning Cycle

academic achievement ace learning cycle apos theory derivative mathematics education

Nguyen Thi Nga , Tang Minh Dung , Le Thai Bao Thien Trung , Tien-Trung Nguyen , Duong Huu Tong , Tran Quoc Van , Bui Phuong Uyen


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The actions, processes, objects, and schemas (APOS) theory is a constructivist learning theory created by Dubinsky based on Piaget's epistemology and used to teach math worldwide. Especially the application of APOS theory to the curriculum of a mathematics class helps students better understand the concepts being taught, which in turn contributes to the formation and development of mathematical competencies. With the aid of the APOS theory and the activity, classroom discussion, and exercise (ACE) learning cycle, this study sought to ascertain the effect of teaching derivatives in Vietnamese high schools. In this quasi-experimental study at a high school in Vietnam, there were 78 grade 11 students (40 in the experimental and 38 in the control classes). As opposed to the control class, which received traditional instruction, the experimental class's students were taught using the ACE learning cycle based on the APOS theory. The data was collected based on the pre-test, the post-test results and a survey of students' opinions. Also, the data that was gathered, both qualitatively and quantitatively, was examined using IBM SPSS Statistics (Version 26) predictive analytics software. The results showed that students in the experimental class who participated in learning activities based on the APOS theory improved their academic performance and attitudes. Additionally, it promoted the students' abilities to find solutions to problems about derivatives.

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10.12973/eu-jer.12.1.507
Pages: 507-523
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448
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Digital Puzzle Worksheet for Identifying Metacognition Level of Students: A Study of Gender Differences

contextual math problem digital puzzle worksheet metacognition level primary school

Ramlah , Agung Prasetyo Abadi , Dewi Siti Aisyah , Karunia Eka Lestari , Mokhammad Ridwan Yudhanegara


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Digital puzzle worksheet (DPW) is innovative teaching material designed using open-source software such as Canva and Liveworksheets. Subsequently, puzzle games in the form of questions can improve problem-solving skills by engaging in metacognitive processes. This research used a case study method to describe the impact of applying the DPW to identify the metacognition levels of students through the assignment of contextual maths problems. The source of informants was third-grade elementary school students in West Java, Indonesia. Test instruments, observation sheets, and interviews were used, while data analysis adopted an iterative model. Furthermore, the method and time triangulation increased confidence in the resulting conclusions. The results showed that male students were at the metacognitive level of ‘strategic use’ and ‘aware use’ for females, based on the characteristics of the observed metacognitive level. The most prominent feature was identifying and determining problem-solving strategies with metacognitive awareness. The reaction of students to the DPW improved problem-solving abilities, expanded conceptual understanding, and enhanced digital technology competence. Therefore, this experience was applied when solving contextual mathematical problem assignments.

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10.12973/eu-jer.12.2.795
Pages: 795-810
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Evaluation of Preservice Teachers’ Performance in School through Video Observations during the COVID-19 Pandemic

observation preservice teachers rubrics student evaluation teacher education

Maria Carme Peguera-Carré , Jordi Coiduras , David Aguilar , Àngel Blanch


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Lesson study, observation and analysis are relevant to professional development and initial teacher education. As a strategy, it helps to bridge the gap between theory and practice. The health conditions brought on by the COVID-19 pandemic forced the restriction of the tutors’ direct observation of preservice teachers at school. This study analyses preservice teachers’ performance through video observations to evaluate their professional activity at school during the COVID-19 pandemic. The Fifteen Items Revised Tsang-Hester Observation Rubric (FIR-THOR) was administered to a sample of 166 preservice teachers in their internship schools and their video recordings each one of 45-minute teaching lessons were analysed. The results show that the FIR-THOR appears as a robust instrument, which allows us to conclude that the instrument works well in the three five-items dimensions that compose it - Instruction, Management, and Assessment - proving to be reliable for assessing teacher intervention in the classroom. Among the three dimensions, the preservice teachers’ performance stands out in the Management of the classroom, as well as in the classroom Instruction. This contribution is relevant considering the potential of lesson analysis in learning and professional development during initial teacher training.

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10.12973/eu-jer.12.2.851
Pages: 851-863
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School quality has become a guiding concept that increasingly shapes educational planning and school development. For many decades, it has been a topic of significant interest, resulting in a wide-ranging and diverse research field. However, it is far from clear how school quality should be defined, what it should encompass, and how it influences student performance. The goal of this scoping review is to examine the existing evidence of the relationship between characteristics of school quality and student cognitive output/ student performance in secondary school. More precisely, it aims to (a) identify, (b) categorize, and (c) examine and evaluate the effects of characteristics of school quality affecting student performance and teaching characteristics in secondary school. In order to achieve these aims, we selected, clustered, and analyses 37 articles. The process was conducted by the research group through regular meetings, discussions, and consensus decisions. Our findings contribute to the comprehensive body of literature by identifying the following dimensions: aims and strategies for quality development, leadership and management, professionalism, school culture, and resources. Furthermore, the review revealed that although the field of school quality has been extensively researched, it lacks consistency, with many different operationalisations and definitions, making comparisons and syntheses challenging or even impossible. We believe that clear operationalisations and definitions are crucial to achieving comparability. Additionally, to achieve a standardized understanding of school quality and establish the categories internationally, uniform, theoretically sound, and content-related definitions of each category are necessary.

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10.12973/eu-jer.12.2.991
Pages: 991-1013
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Peer Tutoring Learning Strategies in Mathematics Subjects: Systematic Literature Review

mathematics education peer-assisted learning peer tutoring prisma systematic literature review

Riyan Hidayat , Nurihan Nasir , Sobiratul Asiah Mohamad Fadzli , Nurul Syahirah Rusli , Nur Najiha Kamaruzzaman , Victor Yii Zi Sheng , Nur Husna Hayati Mohammad , Afifah Shabirah Shukeri


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The peer tutoring approach is a student-cantered teaching method in which students learn in pairs with teacher supervision. The study discussed in this paper is a systematic literature review related to the effectiveness of peer tutoring approaches which has been published within the last 5 years. A complete text analysis was conducted using 20 research papers stating the impact of the peer mentoring approach for this writing. Among the things obtained from previous studies are the variety of ways to implement peer tutoring approach, the impact on 3 aspects in students which are mathematical achievement, social skills and cognitive skills and the teaching theories used. The findings of the study indicate that most past studies used quantitative research methods with the concept of age peer approach. Then, constructivism theory was the most frequently applied with a sample of high school students. In conclusion, this systematic literature review shows that the peer tutoring approach in mathematics education has many benefits in various aspects and needs to be extended to improve the quality of education.

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10.12973/eu-jer.12.3.1409
Pages: 1407-1423
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Students in mathematics classes do not understand the importance of sociomathematical norms in learning mathematics. This causes sociomathematical norms not to be teachers' focus when learning mathematics. Besides, there is no standardized instrument for assessing this norm, so developing this instrument is necessary to measure socio-mathematical norms in learning mathematics. This study aims to create and verify the psychometric validity of the sociomathematical norm scale. This research used a survey method with 505 senior high school students from Jakarta and West Java as respondents. The results showed that 25 items had convergent validity, with a loading factor value of > 0.700, meaning they could be declared valid. Concurrent validity indicates that each sociomathematical norms indicator is valid as a whole. Discriminant validity shows that the average variance extracted value on the diagonal is higher than the other values, so each item is declared valid. It was concluded that each item of the sociomathematical norms instrument has accuracy in its measurement function. The reliability test shows that each sociomathematical norms item is declared reliable. The reliability value of the sociomathematical norm item is .99, and the person's reliability is .86. Thus, the instruments developed can measure sociomathematical norms in learning mathematics.

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10.12973/eu-jer.13.2.541
Pages: 541-556
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Research on STEM in Early Childhood Education from 1992 to 2022: A Bibliometric Analysis from the Web of Science Database

bibliometric early childhood education stem education web of science

Thi-Lam Bui , Thanh-Huong Nguyen , Manh-Tuan Nguyen , Thi-Tham Tran , Thi-Luyen Nguyen , Viet-Nhi Tran , Ut Phuong Dang , Cam-Tu Vu , Anh-Duc Hoang


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STEM education is an irreplaceable movement of educational systems across the globe in the 21st century. Both Pre-K, K-12, and higher education institutions consider STEM as an innovative approach to integrate and reform the teaching and learning processes. The purpose of this paper is to examine the development of studies on STEM in the Early Childhood Education context from 1992 to 2022. We investigated a dataset of 308 scholarly works from the Clarivate Web of Science database and figured a diversified collection of research focuses on topics such as children’s readiness, outcomes, teachers’ competency in designing and implementing STEM activities, and the role of computational thinking and robotics. The findings of this paper revealed the dominant contribution of researchers from the USA regarding research quantity and impact, as well as their collaborations with researchers from Western countries. In addition, we also figured out the top influencing authors, documents, and journals as a suggestion for scholars who are new to this topic. However, we would like to note that our findings depended on the quality of the imported database from the WoS system, which covers top-tier journals only.

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10.12973/eu-jer.13.3.1057
Pages: 1057-1075
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