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Christiaan Huygensstraat 44, Zipcode:7533XB, Enschede, THE NETHERLANDS

'mathematical knowledge' Search Results

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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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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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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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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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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Although the central role of classical mechanics in physics teacher education is undisputed, divergent interests and perspectives from different disciplinary cultures might exist when thinking about how to best support pre-service teachers' professional development. In this article, we report the results of an exploratory mind map study to investigate which classical mechanics topics are regarded essential for physics teacher education according to N = 29 experts from different physics disciplines. The participants’ mind maps were analyzed using a category system and frequency analysis was applied. The results hint at similarities and differences in terms of key topics to be addressed in physics teacher education on classical mechanics according to experts from different physics disciplines, e.g., in terms of the depth of mathematics considered relevant for physics teacher education.

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10.12973/eu-jer.12.3.1247
Pages: 1247-1255
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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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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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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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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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This study explores the extent to which the gendered views exist among students in Kosovo’s compulsory education (primary and lower secondary schools) regarding mathematics and reading. It analyzes students’ perceptions of these academic domains concerning the performance of their peers (the same others) from the gender perspective. Additionally, it examines students’ perspectives on the opinions of their parents and teachers (their significant others) regarding girls’ and boys’ performance in math and reading. Furthermore, the study investigates whether students hold gender-stereotypical attitudes toward professions related to math and those that heavily rely on reading skills. The survey method was used to conduct this study. A sample of 531 students in compulsory education participated in this study, completing a paper-based questionnaire consisting of 14 items evenly distributed between mathematics and reading. The findings indicate that around half of the respondents believe that girls and boys perform equally well in both mathematics and reading and that parents and teachers hold the same views regarding the performance of their children/students in these academic domains. However, among the remaining portion of respondents who expressed gendered views, a higher percentage favored boys as being more proficient in math, while girls were seen as superior in reading skills. This study emphasized the need to address and mitigate these gender stereotypes, to ensure that students of both genders can pursue their careers successfully without any limitations.

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10.12973/eu-jer.13.1.249
Pages: 249-261
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This study investigated pre-service biology teachers' (PSBTs’) technological pedagogical content knowledge (TPACK) development. A TPACK-based technology integration course (TPACK-BTIC) was implemented. The study employed a convergent parallel mixed-methods approach. A TPACK survey questionnaire and interview schedule were used to collect data from 50 PSBTs. The quantitative data were analysed by computing means, standard deviations, and dependent samples t-tests, while qualitative data were analysed using deductive thematic analysis based on the TPACK domains. Findings indicate that the intervention positively affected PSBTs’ TPACK development with significant improvements in technological knowledge (TK), technological pedagogical knowledge (TPK), technological content knowledge (TCK) and overall technological pedagogical content knowledge domains. In contrast, pedagogical content knowledge (PCK) and pedagogical knowledge domains showed no statistically significant improvements. PSBTs’ engagement in microteaching lesson study, reflection on using technology, and collaboratively designing lesson plans improved PSBTs’ TPACK domains. The study recommends that teacher training institutions consider implementing content-based technology integration courses that engage pre-service teachers in microteaching lesson study, reflecting on technology use and collaborative designing of curriculum materials that involve using technology to support their TPACK development.

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10.12973/eu-jer.13.1.263
Pages: 263-278
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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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Teachers Underutilize Their Learning Styles in Developing Thought-Provoking Questions: A Case Study

critical thinking learning styles thought-provoking questions

Agustiani Putri , Abdur Rahman As’ari , Purwanto , Sharifah Osman , Selly Anastassia Amellia Kharis


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Teachers' learning styles are a crucial part of the learning process as they determine how teachers' brains capture and integrate information linked with the senses. Kurnia, identified as an auditory teacher, was expected to capture written information in a provided numeracy problem. Nevertheless, she prefers to capture visual information, like tables or figures, and utilize them to develop thought-provoking questions. Thus, this study intends to investigate her reasons and the factors affecting Kurnia's decision to utilize visual information as a reference in developing questions. This research adopts a qualitative design covering a case study. Kurnia was selected from 32 teachers from 28 schools; roughly 43% were from public schools, and 57% from private schools. Kurnia placed more emphasis on pictorial information before proposing questions, which was caused by situational factors: the subject matter, the grade level, the student's engagement in the class, the teacher's experience, the teaching experience, and the diversity of students' learning styles. This article recommends that teachers recognize their learning styles to know their strengths and weaknesses in teaching mathematics, and that they convey understandable information utilizing effective instructional methods that represent each learning style of students in the classroom.

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10.12973/eu-jer.13.2.479
Pages: 479-495
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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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The central focus of this study is exploring the potential of Artificial Intelligence (AI) Chatbots in enhancing digital dialogue for students. The study investigates the key attributes of Chatbots that can contribute to the feasibility of facilitating digital dialogue to improve students' communication skills through discussions and dialogues. The study employed a descriptive method using a questionnaire to gather the perspectives of 35 educational experts on the use of AI Chatbots in digital dialogue skills. This study revealed that using AI Chatbots plays a crucial role in enhancing digital dialogue skills and can be effectively integrated into instructional practices to facilitate meaningful dialogue among students. Finally, the study recommends that educational technology specialists leverage new technologies, such as Al Chatbots to help improve student performance and facilitate digital dialogue in education.

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10.12973/eu-jer.13.2.573
Pages: 573-584
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This study aims to analyze the effects of working memory capacity and learning styles of prospective mathematics teachers on their ability to solve higher-order thinking problems. In the present study, learning style was considered students' tendency to learn visually or verbally. In addition, the types of higher-order thinking skills (HOTS) problems are complex and non-complex. Multiple regression tests were used to analyze the effects of learning style and working memory capacity. An ANOVA test was also conducted to analyze the ability of each group to solve each HOTS problem. In addition, one hundred twenty-six prospective mathematics teachers voluntarily participated in this study. The study found that learning styles only affected visual problems while working memory capacity (WMC) only affected the ability to solve complex problem-solving skills. Furthermore, WMC affected the ability to solve complex HOTS problems, not non-complex ones. The ability of visual students to solve HOTS problems will greatly increase when the problems are presented in visual form. On the other hand, the obstacle for visual students in solving verbal problems was to present the problem appropriately in visual form. The obstacle for students with low WMC in solving complex HOTS problems was to find a solution that met all the requirements set in the problem.

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10.12973/eu-jer.13.3.1043
Pages: 1043-1056
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Research on STEM in Early Childhood Education from 1992 to 2022: A Bibliometric Analysis from the Web of Science Database

bibliometric early childhood education stem education web of science

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


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

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10.12973/eu-jer.13.3.1057
Pages: 1057-1075
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In this article, we present the results of empirical research using a combination of quantitative and qualitative methodology, in which we examined the achievements and difficulties of sixth-grade Slovenian primary school students in decimal numbers at the conceptual and procedural knowledge level. The achievements of the students (N = 100) showed that they statistically significantly (z = -7,53, p < .001) better mastered procedural knowledge (M = 0.60, SD = 0.22) than conceptual knowledge (M = 0.37, SD = 0.17) of decimal numbers. Difficulties are related to both procedural and conceptual knowledge, but significantly more students have difficulties at the level of conceptual knowledge. At the level of procedural knowledge, or in the execution of arithmetic operations with decimal numbers, we observed difficulties in transforming text notation into numerical expressions, difficulties in placing the decimal point in multiplication and division, and insufficient automation of mathematical operations with decimal numbers. At the level of conceptual knowledge of decimal numbers, the results indicate difficulties for students in understanding the place values of decimal numbers, in estimating the sum, product and quotient of decimals with reflection and in mathematical justification. In relation to difficulties in justification, we observed an insufficient understanding of the size relationship between decimal numbers and difficulties in expressing them in mathematical language. The results indicate that to overcome such difficulties in the learning and teaching of mathematics, more balance between procedural and conceptual knowledge is needed.

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10.12973/eu-jer.13.3.1227
Pages: 1227-1245
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