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'mathematical ability' Search Results

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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This study presented the effect of interactive mathematics (IM) software assisted-teaching on primary three learners' conceptual understanding and performance. The cognitive theory of multimedia learning (CTML) supported the quasi-experimental design of this study drawing on IM software features that fit a multimedia tool for effective learning. This study used a sample of 138 lower primary learners. Learners’ test scores and examples of their work provided data to be analyzed. Learners' conceptual understanding was measured using the percentage of learners who performed a particular item and analyzed using sample learners' work while the overall performance was measured using the mean class scores. From the data analysis, IM-assisted teaching influenced conceptual understanding and performance based on a .05 p-value, the effect size of significance, and learning gains. The analysis of learners’ workings revealed different errors in addition, subtraction, division, and multiplication, which were remarkably reduced in the post-test by IM-supported teaching. This evidenced conceptual understanding development by IM-supported teaching. The study suggested the integration of IM in the Rwandan Competence-Based curriculum and its use as an instructional tool in teaching and learning mathematics at the primary level. Besides, it was recommended that Rwanda Education Board support teachers in developing basic computer skills to effectively create and monitor a multimedia learning environment for effective learning. Furthermore, further similar research would improve the literature about interactive technologies in supporting quality mathematics delivery and outcomes.

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10.12973/eu-jer.12.2.759
Pages: 759-774
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404
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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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Constructive Cognitive Assessment of Learning in a Course on the Computational Cognition in Psychology Students

academic learning cognitive evaluation mental representation of knowledge natural semantic networks

Guadalupe Elizabeth Morales-Martinez , Angel Garcia-Collantes , Rafael Manuel Lopez-Perez


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Learning evaluation is a complex task, and this study illustrates the Constructive Assessment of Learning as a complementary alternative to evaluate the computational cognition schema construction. The authors designed a mental representational task under the Chronometric Constructive Cognitive Learning Evaluation Model. Control and experimental groups performed a conceptual definition task based on the Natural Semantic Network technique (NSN). They defined ten target concepts related to computational cognition theory, using verbs, nouns, and adjectives as definers. Afterward, the participants rated the conceptual quality of each definer one by one, on a scale of one to ten; the higher the rating, the greater the quality of the definer to define the target concept. The results indicate that the NSN technique was sensitive to measuring and discriminating cognitive changes in knowledge structures produced by the specific learning of computational cognition theory. In contrast, the learning of broad psychology subjects produced general cognitive changes without organization related to the specific learning of the evaluated course. Data showed more sophisticated cognitive change patterns on the evaluated schema in the experimental group than in the control group. The findings of this study suggest that cognitive assessment techniques can be helpful in the formative assessment of learning and provide clear indicators of students' knowledge management skills.

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10.12973/eu-jer.12.2.837
Pages: 837-850
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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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Preservice Teachers’ Noticing Skills in Relation to Student Misconceptions in Algebra

mathematical understanding misconceptions pedagogical content knowledge preservice teachers teacher education

Rahmah Johar , Desy Desy , Marwan Ramli , Putri Sasalia , Hannah-Charis O. Walker


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Many students have misconceptions about mathematics, so preservice teachers should be developing the skills to notice mathematical misconceptions. This qualitative study analyzed preservice teachers' skills in noticing student misconceptions about algebra, according to three aspects of noticing found in the literature: attending, interpreting and responding. Participants in this study were seven preservice teachers from one university in the capital of Aceh province, Indonesia, who were in their eighth semester and had participated in teaching practicums. Data was collected through questionnaires and interviews, which were analyzed descriptively. The results revealed the preservice teachers had varying levels of skill for the three aspects of noticing. Overall, the seven preservice teachers' noticing skills were fair, but many needed further development of their skills in interpreting and responding in particular. This university’s mathematics teacher education program should design appropriate assessment for preservice teachers’ noticing skills, as well as design and implement learning activities targeted at the varying needs of individual preservice teachers regarding noticing student misconceptions, in order to improve their overall teaching skills.

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10.12973/eu-jer.12.2.865
Pages: 865-879
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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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The Use of Mathematics Comics to Develop Logical-Mathematical Intelligence for Junior High School Students

logical-mathematical intelligence mathematics comics rural school students urban school students

Rahmah Johar , Mailizar , Yulinar Safitri , Cut Morina Zubainur , Suhartati Suhartati


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Logical-mathematical intelligence is highly needed to ease students’ understanding of mathematics concepts. Therefore, it is necessary to delivery an innovative teaching approach to enhance students’ logical-mathematical intelligence. This study aims to investigate the use of mathematics comics to increase the logical-mathematical intelligence of junior high school students in urban and rural schools. This study employed a quantitative approach with a pretest-posttest control group design. The population of this study were seventh-grade students from a junior high school in Banda Aceh (urban areas) and a junior high school in Aceh Besar (rural areas), Indonesia. The samples of this study were two classes (experimental and control) from each school which were selected randomly. To collect data, we used a logical-mathematical intelligence test and analyzed it by using t-test. This study shows that the use of mathematical comics in urban schools can improve mathematical logical intelligence. However, there was no improvement in students' mathematical logical intelligence in rural schools. Therefore, this study showed that using mathematics comics in different school conditions yield different results in logical-mathematical intelligence. The findings suggest that other learning innovations are required to improve students' logical-mathematical intelligence in rural areas.

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10.12973/eu-jer.12.2.1015
Pages: 1015-1027
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A virtual-based disaster learning model was created to enhance understanding of COVID-19 disaster mitigation following the characteristics of elementary school students because the high number of child deaths brought on by the COVID-19 pandemic served as the driving force behind this research. The virtual-based disaster learning model had been deemed valid, but more study is required to ascertain its impact on primary school pupils' comprehension of COVID-19 disaster mitigation. This study sought to determine how the virtual disaster learning model affected elementary school pupils' understanding of COVID-19 disaster mitigation. This study was a quasi-experimental investigation. Non-equivalent control group design was the type of experimental design employed. The t-test showed that students who studied using virtual-based disaster learning models and those who used conventional learning had different average levels of understanding of COVID-19 disaster mitigation. According to the findings, primary school children who learned using virtual disaster learning models had higher scores than students who used conventional methods. This finding revealed that virtual disaster learning models could improve understanding of COVID-19 disaster mitigation. The results of this study's implications can be applied as a different approach to enhancing elementary school kids' comprehension of emergency planning for COVID-19.

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10.12973/eu-jer.12.2.1059
Pages: 1059-1069
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The Think-Pair-Share (TPS) strategy makes the learning environment interactive, lively, collaborative and democratic. It allows students to interact; accept information; develop collaborative discussion skills; refine their thinking; and participate effectively in the classroom. In this study, the researchers investigated the effect of the collaborative discussion strategy (think-pair-share) on developing students' skills in solving engineering mathematical problems. Once we had confirmed the validity and reliability of the tools, we used the quasi-experimental approach. The study sample consisted of 66 students divided into two groups: Namely, an experimental group, which comprised 33 students who studied mathematics using the (think-pair-share) strategy; and a control group, which comprised 33 students who studied in the traditional way. Both groups sat for a pretest and post-test in mathematics. The test results showed that the use of the TPS strategy had a positive effect on developing problem-solving skills compared to the traditional method. In light of these results, the study recommended the use of TPS strategy to improve the skills of students in solving engineering mathematical problems.

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10.12973/eu-jer.12.2.1123
Pages: 1123-1135
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541
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Motivating Active Learning in Physical Education: Critical Thinking

elementary school hots motivation active learning physical education

Cucu Hidayat , Anggi Setia Lengkana , Aang Rohyana , Didik Purwanto , Razali , Mia Rosalina


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Motivation is essential in shaping how much a student is interested in learning and also affects how much students will learn from a learning activity or how much students' ability to capture the information presented by the teacher. Well-motivated students will produce a vibrant learning atmosphere and a better success rate. This research aims to determine whether the motivating active learning in physical education (MALP) model can help kids in elementary school develop their capacity for critical thinking. The design used is experimental. The research subjects were grade 6 elementary school students representing five sub-districts in the Tasikmalaya district. One elementary school was taken from each sub-district through a probability sampling technique using the cluster random sampling approach. The total sample taken was 137 people. The results of the study prove that applying the MALP model can greatly influence improving the critical thinking skills of elementary school students. The result of the study is proven by the significance test using the paired sample t-test; the results obtained from sig. (2-tailed) of .001< .05. So applying motivating active learning in the physical education model influences increasing elementary school students’ critical thinking skills.

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10.12973/eu-jer.12.2.1137
Pages: 1137-1151
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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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The problems in education in the countries of the Organization for Economic Cooperation and Development (OECD) vary from country to country. The differences between "upper class" and "lower class" countries in PISA assessment results have led to a research gap. The purpose of this study was to (a) test students' mathematical literacy skills on the Program for International Student Assessment (PISA) test and compare the results using the sum of means across OECD countries; (b) examine the relationship between students' mathematical competence, precision, and self-perception of mathematical literacy skills in the PISA test; and (c) analyze the gaps that exist between the implementation of mathematics instruction in school and the mathematical literacy as measured on the PISA test. This study was designed as a mixed method with an explanatory sequential design. The data collection methods included test procedures, questionnaires, and interviews. The result of this study showed that the overall mean score obtained was below the OECD average. In general, the respondents achieved only level 2 mathematics proficiency. A significant relationship was found between mathematical competence, precision, and self-perception in mathematical skills. On the other hand, there was a gap, namely the difference at the implementation level, where mathematical literacy measured by PISA differed from the measurement of mathematical learning achievement by teachers in school. The results showed that teaching that emphasizes only problem-solving procedures affects low mathematical competence and is not useful enough for students to deal with the PISA mathematics test.

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10.12973/eu-jer.12.3.1479
Pages: 1479-1493
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This study aimed to compare and examine the effectiveness of interactive STEM learning and paper-and-pencil STEM learning in terms of mathematical literacy skills of elementary school students. This research is of a quasi-experimental type with a non-equivalent pretest-posttest control group design. Sampling was carried out on the elementary school populations in Bengkulu and South Sumatra Provinces in two stages. In the first stage, schools in rural and urban areas were selected, and in the second, classes in each school were randomly selected. The selected sample consisted of fifth-grade students of the Public Elementary School of Terawas, Musi Rawas, with an experimental class A (n = 20) and an experimental class B (n = 19), as well as fifth-grade students of the Public Elementary School of Bengkulu City, with an experimental class A (n = 25) and an experimental class B (n = 22). Data collection was conducted using mathematical literacy skills tests in reference to the PISA and Minimum Competency Assessment (level 1–3). Data analysis was performed using descriptive and inferential statistics; it employed an independent t-test for the comparative testing and an N-gain test for testing the effectiveness of STEM learning. The results showed that there were differences in math literacy skills between interactive STEM and paper-and-pencil STEM for students in urban schools, but not significantly different for students in rural schools. General STEM learning was effective in increasing the literacy of elementary school students, and interactive STEM in particular demonstrated the highest level of effectiveness in the urban school.

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10.12973/eu-jer.12.4.1569
Pages: 1569-1582
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Creativity and information literacy are skills necessary for students for task completion in the learning process. One of the tasks assigned to students in learning is to write drafts of scientific articles. Furthermore, teachers must pay attention to cognitive styles in the learning process. This study aimed to describe students' creativity in writing drafts of scientific papers based on information literacy concerning reflective and impulsive cognitive styles. This research was exploratory qualitative research to explain the creativity of reflective and impulsive students in writing scientific article drafts based on information literacy. The research subjects comprised two students for each reflective and impulsive cognitive style. The cognitive style was measured using the Matching Familiar Figure Test instrument. Students' creativity was measured using a test with fluency, flexibility, originality, and elaboration indicators. The results indicated that reflective students were highly creative in writing drafts of scientific articles. Meanwhile, impulsive students were relatively creative in the same activity. In conclusion, students possessing the reflective cognitive style are more creative than students following the impulsive cognitive style in writing drafts of scientific articles based on information literacy. We recommend that writing articles based on information literacy is required to increase HOTs (Higher Order Thinking Skills).

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10.12973/eu-jer.12.4.1667
Pages: 1667-1681
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Demystifying the Relationship Between Confidence and Critical Thinking in Mathematics among Preservice Teachers in West Philippines

educational research innate characteristics mathematics education prospective teachers thinking skills

Jupeth T. Pentang , Mary Glory M. Caubang , Aira May L. Tidalgo , Sairey B. Morizo , Ronalyn M. Bautista , Mark Donnel D. Viernes , Manuel L. Bucad Jr. , Janina C. Sercenia


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Mathematical confidence and critical thinking are essential in preparing preservice teachers. Thus, this study explored the perceived confidence and critical thinking levels in mathematics of elementary and secondary preservice teachers. A descriptive-correlational-comparative research design was employed, with a sample of 107 randomly selected preservice teachers enrolled in the Bachelor in Elementary and Secondary Education programs of a state university in West Philippines. The study used arithmetic mean, standard deviation, Spearman’s rank-order correlation, and independent samples t-test to analyze and draw conclusions from the data. The findings revealed that the preservice teachers have high confidence and critical thinking skills. Their program significantly correlates with their perceived critical thinking and confidence level. Besides, the preservice teachers’ confidence levels and perceived critical thinking skills significantly correlate. Further analysis found significant confidence and critical thinking differences favoring the secondary over the elementary preservice teachers. These findings provide insights that would benefit mathematics educators in providing priority programs to enhance the preparation of future math teachers.

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10.12973/eu-jer.12.4.1743
Pages: 1743-1754
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The Implementation of Flipped Learning Model and STEM Approach in Elementary Education: A Systematic Literature Review

elementary education e-learning flipped learning stem technology

Rusnilawati Rusnilawati , Siti Rahaimah Binti Ali , Mazarul Hasan Mohamad Hanapi , Sutama Sutama , Farizky Rahman


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This study aimed to explore the implementation and impact of the Flipped Learning Model (FLM) and STEM Approach in elementary education. The advancement of technology and the Covid-19 pandemic has increased the importance of e-learning, including in elementary schools. The literature review analyzed 193 academic works published in the past six years using NVivo, Mendeley, and VOSviewer software. The validity of the data was verified through the analysis of five online databases. The results showed that STEM research has been well-developed with innovative approaches that improve learning outcomes, while FLM research in elementary schools is limited. The study suggested that combining FLM with STEM Approach (FLM-SA) can optimize learning in the technological era. By integrating FLM-SA, students can engage in active learning experiences in class and acquire fundamental knowledge outside of class, offering a solution to e-learning challenges. The study emphasized the strong connection between FLM and STEM Approach and how they can support each other to enhance student learning.

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10.12973/eu-jer.12.4.1795
Pages: 1795-1814
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21st-century learning requires teachers and students to integrate literacy skills, scientific literacy, mathematics, reading, writing, and technology in the learning process. Students must have initiative, discipline, responsibility, confidence, motivation for independent learning, and the ability to think critically about the problems presented. This study aims to determine students' autonomous knowledge and critical thinking abilities (CTA) using mobile learning technology (MLT). This research is a quantitative study involving 83 students from four junior high schools in the city of Mataram. The data collection for independent learning and students' CTA was carried out by giving tests and non-tests to students. The test conducted was a written test in the form of a description of 10 questions covering indicators of CTA. The non-test was conducted by giving a student learning independence questionnaire with as many as 15 statements, including five indicators of learning independence. This quantitative research data analysis uses the Rash modeling application with the help of Ministep software. The analysis results show that the learning independence of male and female students in the four junior high schools obtained a percentage of 77.38% in the “good” category. Each indicator of learning independence accepts a percentage above 70%, which is in the excellent category. Meanwhile, the CTA of male and female students from the four junior high schools obtained 75.28% in the “good” category. Each indicator of CTA also gets a percentage of more than 70%, meaning that each indicator is in a good category.

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10.12973/eu-jer.12.4.1815
Pages: 1815-1830
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The study sought to determine the degree to which autistic children used language activities and their relevance to increasing verbal expression abilities in Jordanian special education institutions. The descriptive-analytical technique was used in the investigation. The two dimensions were utilized to represent the instrument through a set of 27 statements. The participants included 200 instructors from special education centers in Amman, Jordan's capital. The study's findings revealed a high level of application of linguistic activities among autistic children in Jordanian special education programs. Their ability to express themselves verbally improved significantly as well. The findings also revealed a statistically significant positive link between the extents to which autistic children applied language exercises and the improvement of verbal expression abilities in special education institutions.

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10.12973/eu-jer.13.1.353
Pages: 353-365
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Mapping the Intellectual Structure of Studies on Internationalization of the Curriculum: A Bibliometric Analysis From the Scopus Database

bibliometrics curriculum internationalization of higher education scopus

Do Hong Cuong , Do Thi Hong Lien , Le Van An Nguyen , Tran Thi Ha Giang , Ha Thi Lich , Tien-Trung Nguyen


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The pervasive development and momentous changes of internationalization in higher education have led to the acceleration of research on its key component – the curriculum. However, there has not been any comprehensive analysis of the research status of the internationalization of the curriculum (IoC). To address the gap, this study employs the bibliometric method to construct an intellectual structure of research on the topic. The data, retrieved from the Scopus Database, consisted of 386 publications. The extracted data were then analyzed using citation, co-authorship, and keyword co-occurrence analysis. The results reveal a significant growth in research volume during the last ten years and the domination of Global North in the geographical distribution of publications. Besides, the most prominent authors include those who introduced fundamental knowledge on the topic. The most cited works and the most popular publishing sources focus on various aspects of internationalization of higher education. They also show a multidisciplinary interest in the topic. Finally, concerning newly emerged themes of studies on IoC, “cultural competence” and “internationalization at home” are outstanding keywords. The research findings emphasize IoC as a potential research matter. Hence, this study is recommended as a starting point for future researchers when examining related subjects.

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10.12973/eu-jer.13.1.379
Pages: 379-395
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