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'creative mathematical thinking skills' Search Results

Activist Learners’ Creative Thinking Processes in Posing and Solving Geometry Problem

creative thinking process geometry posing and solving problems

Rosita Dwi Ferdiani , Manuharawati , Siti Khabibah


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This study aimed to describe the creative thinking process of students with active learning styles in proposing and solving problems on geometry material. The research instruments were Honey and Mumford's Learning Style Questionnaire (LSQ), problem-solving and submission test sheets, and interview guidelines. The LSQ questionnaire was distributed to students majoring in mathematics education at a university in Malang, Indonesia, with a total of 200 students. Students who have an active learning style and meet the specified criteria will be selected as research subjects. Based on research on creative thinking processes in proposing and solving problems in students with active learning styles, it was found that there were differences in behaviour between subject 1 and subject 2 at each stage of creative thinking. However, based on the researcher's observations of the behaviour of the two subjects at each stage of their thinking, there are similarities in behaviour, namely, they tend to be in a hurry to do something, prefer trial and error, and get ideas based on daily experience.

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10.12973/eu-jer.11.1.117
Pages: 117-126
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641
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739
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3

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4

A Systematic Review on Geometric Thinking: A Review Research Between 2017-2021

geometric thinking pre-service teachers technology based-media

Trimurtini , S. B. Waluya , Y. L. Sukestiyarno , Iqbal Kharisudin


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Geometric thinking affects success in learning geometry. Geometry is studied from elementary school to university level. Therefore, in higher education and basic education, it is necessary to carry out a systematic review in order to obtain tips for improving geometric thinking skills. A systematic review of geometric thinking was done in this study. In this study from 2017 to 2021, geometric thinking was investigated in the form of a synthesis review of the effect size of the given treatment. This is a comprehensive discussion of theories, models, and frameworks on the topic of geometric thinking from 36 articles. The research findings revealed that the interventions used were predominantly effective, with effect sizes ranging from "small" to "very large," with the "very large" effect obtained in the intervention of van Hiele's learning phase and various technology-based-media and concrete manipulative media. The research trend was reflected through twelve clusters of interrelated keywords. The results of this literature review suggested that it is necessary to carry out a specific study on how to achieve the highest level of geometric thinking, a more detailed form of scaffolding, and concrete manipulative media and technology that can be explored for a certain level of the participants’ geometric thinking.

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10.12973/eu-jer.11.3.1535
Pages: 1535-1552
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909
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1016
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3

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1

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This review explores research into the effects of collaborative learning interventions on critical thinking, creative thinking, and metacognitive skill ability on biological learning. The search was conducted from 2000 to 2021. We found 36 critical thinking studies, 18 creative thinking studies, and 14 metacognitive skill studies that met the criteria. The results showed that collaborative learning influences large categories (ES=4.23) on critical thinking, influences large categories (ES= 7.84) on creative thinking, and influences large categories (ES= 8.70) on metacognitive skill. The study's findings show that collaborative learning interventions have the highest impact on metacognitive abilities. Based on these findings, we provide insights for education research and practitioners on collaborative learning interventions that seem to benefit the empowerment of high levels of thinking at various levels of education to be combined with various other interventions in the future. The type of intervention, level of education, materials used, and study quality criteria were included in the study.

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10.12973/eu-jer.11.3.1607
Pages: 1607-1628
cloud_download 730
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730
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829
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6

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6

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High school teachers are mentors and facilitators that must be concerned about their students' formal thinking abilities. Students may not take a conservation task seriously because they perform operations without consulting. This necessitates modifying the learning process to increase student motivation. Therefore, this study aimed to examine students' mathematical spatial literacy through project-based blended learning with the cognitive conflict strategy. The study sample comprised 129 students, including 66 and 63 in the experimental and control classes, respectively, divided into the low, medium, and high levels. The findings showed that the experimental class students using project-based blended learning with the cognitive conflict strategy had higher mathematical spatial literacy than those in the control class using problem-based learning. Project-based blended learning with the cognitive conflict strategy and problem-based learning students at the high and moderate levels differed in their ability to increase their mathematical spatial literacy. However, low-level students are comparable in their ability to increase their mathematical spatial literacy.

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10.12973/eu-jer.11.4.2031
Pages: 2031-2041
cloud_download 575
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575
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686
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2

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1

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The main objective of this research was to study the effects of instructional management models and nominal variables on the development of students’ creative thinking. The researchers used the research synthesis of 400 studies on the development of students' creative thinking by a meta-analysis of research according to Cohen. The meta-analysis results revealed that the average effect size of the instructional management model (d = 3.43; [3.10, 3.17]) was positive and had a very high effect size with statistical significance. The most significant influence on the creative thinking development model was creative development theory (d = 4.217; [3.32, 5.11]). In addition, effect sizes varied with the attribute variables of the research, particularly the attribute variable of the research on instruction with the highest effect consisted of research with the focus on language, at the primary level, applied Torrance's creativity theory, designed between one to six lesson plans. Moreover, there was less than one hour per plan, the instructional period including the experiment conducted more than 31 hours and there were four weeks of instruction. In addition, there were six steps for instruction, there had quiz as an assessment tool, number of exams varied between 30 and 39 questions, and knowledge sheets were used as instructional materials. In the context of the meta-analysis, the findings indicated that the teachers should apply creative development theory in developing the students’ creative thinking for more effective instructional management.

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10.12973/eu-jer.11.4.2069
Pages: 2069-2085
cloud_download 487
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487
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523
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2

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1

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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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671
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652
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2

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3

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Learning literature is considered challenging for university students, especially in Indonesia, as they must perform assigned tasks and communicate with one another, in addition to receiving and transmitting comprehensible literature content knowledge from and to their lecturers. In many cases, students do not get sufficient feedback on what they are doing. The objective of this study was to investigate the use of feedback strategies by lecturers in English literature lectures in a higher learning institution in Indonesia. Using a qualitative approach, this study involved three lecturers of the English literature department. Meanwhile, data were collected through 300 minutes of video recordings of drama, literary criticism, and prose lectures. The results revealed that the lecturers generated both negative and positive feedback strategies during the lectures. In terms of negative feedback strategies, they criticized students’ responses. By contrast, in terms of positive feedback strategies, they accepted, appreciated, and praised as well as repeated and answered students’ responses. The results also indicated that the feedback strategies became effective tools to improve students’ language competence, literary knowledge, and participation. This study suggested that lecturers use more positive feedback followed by additional comments during lectures as these could foster students’ engagement and keep learning longer.

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10.12973/eu-jer.12.1.29
Pages: 29-40
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378
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398
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2

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1

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The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS). The explanatory method was used in this qualitative study. The participants were mathematics students at the Department of Mathematics, Universitas Negeri Semarang. The researchers collected the data with the cognitive style test using the Matching Familiar Figure Test (MFFT), used a valid problem-solving skill test, and the interview questions. The data analysis techniques used were processing and preparing the data for analysis, extensive reading of the data, coding all data, applying the coding process, describing the data, and interpreting the data. The results showed that (1) the problem-solving process of students with symbolic representation was characterized by the use of mathematical symbols to support the problem-solving process in the problem representation phase; (2) the problem-solving process of students with symbolic-visual representation was characterized by the use of symbols, notations, numbers, and visual representation in the form of diagrams in the problem representation phase.

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10.12973/eu-jer.12.1.41
Pages: 41-58
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508
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574
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2

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2

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Metacognitive, critical thinking and opinion expression are in high demand. This study aimed to investigate the effects of the blended project- based literacy that integrates school literacy movement strengthening character education (literasi berbasis proyek terintegrasi GLS dan PPK: Li-Pro-GP) learning model on students' metacognitive skills, critical thinking, and opinion expression. A post-test experimental design was used to answer the research question. The study was conducted from August to October 2021 at Government Junior High School 23 Malang. Seventh-grade students were selected as research participants. The participants included 30 students from class VII-2. The research instrument was five essay questions to measure critical thinking skills. Material and assessment experts validated the essay questions developed by the researcher. The items that were declared valid were tested for validity. The result showed five valid items with high reliability of .670. Metacognitive skills were measured using the Metacognition Awareness Instrument (MAI), which consists of 40 items. The questions declared valid were tested for validity with a very high reliability of .953 for 37 items, and only three items were invalid. The ability to express an opinion was measured with an observation questionnaire validated by experts with a valid instrument score. Data analysis was performed by path analysis using the SmartPLS software. The results showed that the Li-Pro-GP blended learning model significantly strengthened students' metacognitive skills, critical thinking, and opinion formation.

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10.12973/eu-jer.12.1.145
Pages: 145-158
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567
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673
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2

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1

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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
cloud_download 530
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530
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531
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0

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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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304
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402
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0

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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246
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296
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0

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
cloud_download 364
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364
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486
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2

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0

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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
cloud_download 443
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443
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398
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0

MIB-Inquiry-Infographic Android Application and Its Impact on Students' Critical Thinking Skills during the COVID-19 Pandemic

critical thinking skill infographic inquiry momentum-impulse e-book

Supahar Supahar , Habibah Khusna Baihaqi , Himawan Putranta , Ivandra Immanuela Latumakulita , Farchan Oktavianto Pribadi , Racy Religia


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Momentum-impulse requires critical thinking skills, and teaching should be encouraging for students. Critical thinking skills can be fostered through inquiry-based learning. During the COVID-19 pandemic, familiar learning media were used for students. Therefore, it is necessary to develop creative learning media. This developmental research aimed to create a momentum-impulse e-book based on inquiry supported by infographics (MIB -In-graph) to enhance students' critical thinking skills. The developmental model was a 4D model with field testing, i.e., a pretest-posttest control group design with three classes. Descriptive analysis showed that MIB-In-graph, an Android application, received a good average rating in content, worksheets, and forms. Students’ responses were very positive. Mixed design ANOVA showed that the mean score of students’ critical thinking skills increased significantly from the pretest to the posttest in each class and students’ critical thinking skills in the experimental class was more salient than control class 1 and control class 2. The highest difference in mean scores was in the experimental class. The differences were influenced by various factors such as learning approaches, media use, pictures, and collaboration.

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10.12973/eu-jer.13.2.511
Pages: 511-530
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176
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264
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Developing Creative Thinking in Preschool Children: A Comprehensive Review of Innovative

comprehensive review creative thinking early childhood

Novita Eka Nurjanah , Elindra Yetti , Mohamad Syarif Sumantri


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<p style="text-align:justify">The ability to think creatively has a vital role in the development of preschool children. This research provides a comprehensive review of innovative approaches and strategies for developing creative thinking in preschool children based on current trends and methodologies used in educational settings. This research shows three significant areas: (a) creative thinking skills in preschool children, (b) factors influencing creative thinking skills in depth, and (c) innovative strategies and approaches to stimulate creative thinking abilities in preschool children. This research uses a literature study method assisted by the publish perish application to find reference sources related to creative thinking abilities in preschool children. Studies show that creative thinking abilities in preschool children enable them to find innovative solutions, help them adapt to challenges, foster self-confidence and courage, and enrich their experience and knowledge of the world around them. Meanwhile, preschool children&#39;s creative thinking abilities are influenced by collaboration from the external environment (parents, teachers, and society); providing support and examples for children to develop and stimulate their creative thinking skills is very important.</p>

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10.12973/eu-jer.13.3.1303
Pages: 1303-1319
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67
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186
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Critical thinking is a skill that enables individuals to keep pace with changes and enhances crucial competencies for contemporary competitiveness. Many researchers have studied learning management approaches to develop students' critical thinking, resulting in a substantial body of knowledge but lacking clear systematic summaries. The researchers aimed to (a) examine the effect sizes and research characteristics influencing students' critical thinking, and (b) compare the effect sizes of learning management approaches after adjusting with propensity score matching from 108 graduate research published between 2002 and 2021. Data were collected using research characteristics recording forms and research quality assessment questionnaires. Effect sizes were calculated using Glass's method and analyzed through random effect, fixed effect, and regression meta-analysis. Findings revealed that (a) research on developing learning management approaches influences students' critical thinking at a high level (d ̅ = 1.669), with nine research characteristics, including the field of publication, courses, total duration, teacher learning process, learning media, measurement and evaluation, research design, research statistics, and research quality, statistically significantly influencing students' critical thinking, and (b) after adjustment, inquiry-based learning significantly influences students' critical thinking. Recommendations for developing students' critical thinking include learning activities that encourage problem exploration, expanding thinking through collaborative analysis, and applying diverse media and activity sheets tailored to context suitability.
 

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10.12973/eu-jer.13.3.1391
Pages: 1391-1409
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69
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