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Eurasian Society of Educational Research
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Eurasian Society of Educational Research
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Christiaan Huygensstraat 44, Zipcode:7533XB, Enschede, THE NETHERLANDS

'mathematical problem' Search Results

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Research is considered a vital component for propelling progress and development. This study aims to investigate the effects of problem-based learning (PBL) in the teaching of research methodology and statistics courses on improving research writing skills and enhancing course achievement. It also projects an action plan model for the effective implementation of PBL in the instructional aspect. The study utilised a positivist research paradigm based on action research design using the technique of content analysis. Employing a universal rubric, 45 proposals of graduate programme students enrolled in the College of Education at Minia University in North Upper Egypt were subjected to content analysis to rate students’ skills in writing research proposals before and after the delivery of the course. The students volunteered to participate in the study after they were given a synopsis of the aims and procedures. Students’ achievement was assessed through a test consisting of 90 items, developed primarily for this purpose at the end of the second semester in the academic year 2018–2019. The post-content analysis revealed a significant improvement in scientific research skills, with a considerable difference between the pre- and post-achievement scores. It is imperative to consider the feasibility of using the PBL approach in teaching research methodology and statistics courses for graduate students. The study recommended the adoption of PBL in undergraduate programmes as well as in high school education.

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10.12973/eu-jer.12.1.189
Pages: 189-200
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4

Developing Mobile Learning Application Containing Basic Pedagogy Material as the Supplement in Improving College Students’ Learning Outcome in Teacher Training Institutes of Indonesia

learning outcomes material pedagogy mobile learning

Farid Ahmadi , Wahyu Hardyanto , Suwito Eko Pramono , I Made Sugiarta , Hermawan Syahputra , Andi Kristanto , Mario Tulenan Parinsi , Iwan Sugihartono


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The vast technological development affects every layer of people’s daily life, including Education. However, Indonesia’s tertiary education status quo has not exhibited any rapid development in information technology-based learning media. This study aimed to develop and identify the effectiveness of Basic Pedagogy Material online learning material in improving students’ outcomes in pedagogy. It applied R & D design with a waterfall development model on second-semester students in Universitas Negeri Semarang, Indonesia, during the educational year of 2020/2021. The data collected through interviews, observation, questionnaire, scale, and test were analyzed using independent t-test and n-gain. The findings indicated a significant difference between the average score before and after students used the Basic Pedagogy Materials mobile learning application during the learning process. Therefore, the mobile learning application developed effectively improves students' learning outcomes in pedagogy subjects effectively.

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10.12973/eu-jer.12.1.213
Pages: 213-227
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The Use of Technology-Based Model of Critical Thinking Development to Reshape Students’ Self-Study Process

critical thinking higher education self-study student performance technologies

Olena Kravchenko , Viktoriia Dokuchaieva , Tatyana Valentieva , Liudmyla Sbitnieva , Natalia Chornobryva


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The aim of this study was to investigate how the use of the technologized model of critical thinking development affected the self-study process of students of higher educational institutions (HEIs). The research methodology was based on a combination of qualitative and quantitative empirical methods, as well as a descriptive approach to data analysis. The study involved a quasi-experimental model supposed to influence the variables under study. The technology-based educational model of autonomous learning with a focus on the critical thinking development in students of HEIs consisted of the following processes, such as: communication, analysis, synthesis, problem-solving, evaluation, and reflection. The Watson Glaser Test was adapted to monitor the level of students’ critical thinking. The average score on the final control of students’ knowledge was used to monitor the experimental group students’ performance. By monitoring the development of students’ critical thinking and the dynamics of their performance in the course of training, where 90% of the time students studied independently, it was established that the use of a technological educational model had a positive effect on the critical thinking of students of HEIs, and as a result, the effectiveness of their self-study.

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10.12973/eu-jer.12.1.281
Pages: 281-296
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397
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3

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1

Generalization of Patterns Drawing of High-Performance Students Based on Action, Process, Object, and Schema Theory

apos generalization high-performance pattern drawing

Andi Mulawakkan Firdaus , Wasilatul Murtafiah , Marheny Lukitasari , Nurcholif Diah Sri Lestari , Tias Ernawati , Sri Adi Widodo


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This study is qualitative with descriptive and aims to determine the process of generalizing the pattern image of high performance students based on the action, process, object, and schema (APOS) theory. The participants in this study were high performance eighth-grade Indonesian junior high school. Assignments and examinations to gauge mathematical aptitude and interviews were used to collect data for the study. The stages of qualitative analysis include data reduction, data presentation, and generating conclusions. This study showed that when given a sequence using a pattern drawing, the subjects used a number sequence pattern to calculate the value of the next term. Students in the action stage interiorize and coordinate by collecting prints from each sequence of numbers in the process stage. After that, they do a reversal so that at the object stage, students do encapsulation, then decapsulate by evaluating the patterns observed and validating the number series patterns they find. Students explain the generalization quality of number sequence patterns at the schema stage by connecting activities, processes, and objects from one concept to actions, processes, and things from other ideas. In addition, students carry out thematization at the schematic stage by connecting existing pattern drawing concepts with general sequences. From these results, it is recommended to improve the problem-solving skill in mathematical pattern problems based on problem-solving by high performance students', such as worksheets for students.

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10.12973/eu-jer.12.1.421
Pages: 421-433
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2

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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491
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482
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2

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0

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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This research aims to describe secondary school students' functional thinking in generating patterns in learning algebra, particularly in solving mathematical word problems. In addressing this aim, a phenomenological approach was conducted to investigate the meaning of functional relationships provided by students. The data were collected from 39 ninth graders (13-14 years old) through a written test about generating patterns in linear functions. The following steps were conducting interviews with ten representative students to get detailed information about their answers to the written test. All students' responses were then analyzed using the thematic analysis software ATLAS.ti. The findings illustrate that students employed two types of approaches in solving the problem: recursive patterns and correspondence. Students favored the recursive patterns approach in identifying the pattern. They provided arithmetic computation by counting term-to-term but could not represent generalities with algebraic symbols. Meanwhile, students evidenced for correspondence managed to observe the relation between two variables and create the symbolic representation to express the generality. The study concludes that these differences exist due to their focus on identifying patterns: the recursive pattern students tend to see the changes in one variable, whereas the correspondence ones relate to the corresponding pair of variables.

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10.12973/eu-jer.12.2.913
Pages: 913-925
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536
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The objective of the study was to develop a structural model that explores the relationship between Mathematics Performance and students’ self-regulated learning skills, grit, and expectancy-value towards science, technology, engineering and mathematics (STEM). The research collected survey data from 664 senior high school students from 17 STEM high schools, and conducted a covariance-based structural equation modeling (SEM) analysis. The results of the SEM analysis indicate that the Re-specified Self-Regulated Learning Skill – Expectancy-Value towards STEM – Grit – Mathematics Performance (Re-specified SRL-EV-GR-MP) model is the most parsimonious fit, offering the best empirical support for the theoretical model of the study. The research findings suggest that the mathematics performance of senior high school students in STEM curriculum is attributed to their high expectancies for success and perceived values of the STEM tasks, high grit, and high self-regulated learning skills. Moreover, the research also observed evidence of mediating and moderating grit effects in the concurrent effects of expectancy-values towards STEM and self-regulated learning skills towards students’ mathematics performance.

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10.12973/eu-jer.12.2.967
Pages: 967-976
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411
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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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502
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541
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1

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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1

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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1

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Secondary subject subcultures, differing in status, perceived sequentiality, and scope, have been shown to form within departmental content areas. This study aimed to determine if preservice secondary teachers also exhibited attributes of secondary subcultures. Through the Teacher Multicultural Attitude Survey and the Culturally Responsive Teacher Self-Efficacy Scale, this study revealed that subcultures also occur within preservice teachers, specifically preservice mathematics teachers and preservice English teachers, with regards to multicultural awareness and attitudes. The results from this study support the need for purposeful and consistent focus on multicultural education and Ethnomathematics education in mathematics education programs. In doing so, secondary mathematics students can obtain a robust background in multicultural education before entering the PK-12 classroom. When they do enter the PK-12 classroom, they will be able to empower all students that they teach.

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10.12973/eu-jer.12.3.1425
Pages: 1425-1435
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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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The Impact of Educational Robotics on Cognitive Outcomes in Primary Students: A Meta-Analysis of Recent Studies

cognitive outcomes educational robotics elementary education meta-analysis primary students

Meruyert Mukhasheva , Kalibek Ybyraimzhanov , Khapiza Naubaeva , Assem Mamekova , Bibigul Almukhambetova


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In recent years, educational robotics has gained ground in educational policy around the world, and primary education is no exception. However, there has not yet been a thorough synthesis of methodologically appropriate empirical research on the effects of robotics upon cognitive performance among primary school students, which this paper attempted to do. Following literature screening, a total of eight studies published between 2018 and 2022 with a sample size of 567 children met inclusion criteria and were meta-analyzed. Resultantly, a medium aggregate effect size in favor of robotics experiments emerged (standardized mean difference of .641), which was significantly higher compared to non-robotics learning (p <.01). No between-study heterogeneity was detected. Subgroup analysis revealed a slightly larger overall effect for interventions on first- to third-graders rather than those in grades 4-6. Additionally, the analysis indicates that in order to enhance cognitive abilities in primary students, robotics interventions should be no longer than four weeks and involve robot construction. Based on the findings, implications, and suggestions are outlined for future research and practice.

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10.12973/eu-jer.12.4.1683
Pages: 1683-1695
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