The increase of English language learners (ELLs) in the United States of America (USA) public school classrooms and the diversification of the global education landscape urges initial teacher preparation programs to equip mainstream teachers with appropriate skills, knowledge, and dispositions to teach ELLs. This paper reports findings from a focus group study on elementary teacher candidates' (TCs') field experiences with ELLs. Based on interviews with four groups of TCs who completed their two practicums with ELLs, the study illustrates how mainstream TCs perceive their field experiences as future teachers of ELLs. The findings suggest that TCs recognize dissonances and develop care toward ELLs through their engagements in ELL-specific field experiences. The study also demonstrates how the recognition of dissonances led to changes in TCs' beliefs and values, which was observed through their imagination. Informed by their field experiences with ELLs, TCs began forming professional agency as future teachers by imagining specific teaching strategies, methods, and approaches they would like to implement with ELLs. Implications and future directions of teacher education programs are also discussed.

This study aimed to determine the effect of cognitive and affective factors on the performance of prospective mathematics teachers. Cognitive factors include cognitive independence level and working memory capacity, while affective factor include math anxiety. Mathematical performance was then assessed as basic math skills, advanced math skills and problem-solving ability. This research combined quantitative and qualitative research methods. In order to determine the effects of cognitive independence, working memory capacity, and math anxiety on math performance, multiple regression tests were used. To then see the effects of these three factors on problem-solving ability, a qualitative approach was used. Eighty-seven prospective math teachers participated in this study. Based on the results of the multiple regression, it was found that the level of cognitive independence affects basic math skills but has no effect on advanced math skills. Working memory capacity was seen to positively affect math performance (basic and advanced math skills, problem-solving skills), while mathematics anxiety demonstrated negative effects on advanced math skills and problem-solving skills.

Visual representations and the process of visualisation have an important role in geometry learning. The optimal use of visual representations in complex multimedia environments has been an important research topic since the end of the last century. For the purpose of the study presented in this paper, we designed a model of learning geometry with the use of digital learning resources like dynamic geometry programmes and applets, which foster visualisation. Students explore geometric concepts through the manipulation of interactive virtual representations. This study aims to explore whether learning of geometry with digital resources is reflected in higher student achievements in solving geometric problems. This study also aims to explore the role of graphical representations (GRs) in solving geometric problems. The results of the survey show a positive impact of the model of teaching on student achievement. In the post-test, students in the experimental group (EG) performed significantly better than students in the control group (CG) in the overall number of points, in solving tasks without GR, in calculating the area and the perimeter of triangles and quadrilaterals than the CG students, in all cases with small size effect. The authors therefore argue for the use of digital technologies and resources in geometry learning, because interactive manipulatives support the transition between representations at the concrete, pictorial and symbolic (abstract) levels and are therefore important for understanding mathematical concepts, as well as for exploring relationships, making precise graphical representations (GRs), formulating and proving assumptions, and applying different problem-solving strategies.

Problem-solving process requires information processing, and the information processing is related to working memory capacity (WMC). This study aims to determine the effect of WMC on students' mathematical abilities and to describe the ability of the students with high and low WMC in solving mathematical problems. This research used mixed method with Sequential Explanatory Design. The quantitative data were collected through the provision of OSPAN tasks and math tests to 58 students aged 15-17 years, while the qualitative data were collected through interviews based on mathematical problem-solving tasks. The results showed that WMC had a significant effect on students' mathematical abilities (R=0.536; p=0.000). Researchers found differences in students' mathematical problem-solving abilities with high and low WMC. Students with high WMC can remember and manage information well which supports the determination of more advanced problem-solving strategies and have better attention control so that they find varied appropriate solutions. Students with low WMC experienced decreased attention control as the complexity of the tasks increased, missed important information in problem solving strategies, and did not recheck their work, leading to wrong solution/answer. The mathematical performance of students with high WMC outperformed the mathematical performance of students with low WMC.

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

Prospective teachers facing the 21st century are expected to have the ability to solve problems with a computer mindset. Problems in learning mathematics also require the concept of computational thinking (CT). However, many still find it challenging to solve this problem. The subjects in this study were twenty-one prospective mathematics teachers who took number theory courses, and then two research samples were selected using the purposive sampling technique. This study uses a qualitative descriptive method to describe the thinking process of prospective teachers in solving Diophantine linear equation problems. The results showed that the first subject's thought process was started by turning the problem into a mathematical symbol, looking for the Largest Common Factor (LCF) with the Euclidean algorithm, decomposition process, and evaluation. The second subject does not turn the problem into symbols and does not step back in the algorithm. The researcher found that teacher candidates who found solutions correctly in their thinking process solved mathematical problem used CT components, including reflective abstraction thinking, algorithmic thinking, decomposition, and evaluation. Further research is needed to develop the CT components from the findings of this study on other materials through learning with a CT approach.

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.

The government has imposed social restrictions during the COVID-19 pandemic, affecting the education sector, including the early childhood school. Distance education offers different methods from the conventional methods, as the students are expected to gain the same skills, including critical thinking skills. Therefore, teachers must provide distance learning innovations using relevant learning media, such as multimedia-based learning. This research aims to assess the efficacy of multimedia learning in early childhood distance learning. This research is a quantitative model with a quasi-experimental pretest and posttest design. The data collection technique utilized questionnaires given to 30 samples of early childhood children. The data were statistically analyzed using SPSS software. The results confirmed that multimedia-based learning for distance learning could develop critical thinking skills in early childhood children during the COVID-19 pandemic. The results of this study offer exploration of learning strategies to improve children’s critical thinking.

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.

Students' academic self-concept is a concerning concept in educational research. The purpose of this research is to examine the simultaneous influence and relationship of learning motivation, democratic parenting, and peer relations with academic self-concept in students. This is a correlational research with a cluster random sampling method used to collect data from 962 students. The result showed that learning motivation, democratic parenting, and peer relations had a partial and simultaneous relationship with students' academic self-concept. Furthermore, support from guidance and counselors, homeroom teachers, and parents is essential for students to actualize and develop their character optimally and effectively.  

In the last decade, vocational education in Indonesia has experienced problems in making career decisions for students, which was exacerbated by the COVID-19 pandemic. Therefore, this research aims to examine the role of self-efficacy and mediate digital literacy, social environment, and counselling guidance in influencing career decision-making. This is an ex-post-facto research design with data collected from a sample of 566 vocational education students in Indonesia through a questionnaire method distributed online using Google Form. The collected data was then analyzed using structural equation modelling (SEM) with path analysis and bootstrap methods. The results revealed that self-efficacy plays a vital role in mediating digital literacy and guiding students in career decision-making. On the other hand, digital literacy, guidance, and counselling have a significant direct effect on self-efficacy and career decision-making. Meanwhile, the social environment only has a significant direct effect on students’ career decision-making. The real role of all elements of vocational education in strengthening self-efficacy, growing digital literacy, monitoring social environment interactions, and providing counselling guidance to students is needed to increase optimism and the quality of career decision-making in vocational education.

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

Character education is urgent in passing down the ethical and moral values in the cultured community life. The local cultural values are a source of ethics and moral education for elementary school students. The school keeps taking an essential role in cultivating the local values through online character education during the COVID-19 pandemic. This study aimed to analyze the effect of implementing online integrated character education and parental engagement in local cultural values cultivation outcome. The method of this study used an exploratory sequential mixed method design. Collect qualitative data using interview forms, observation, documentation, and quantitative data using questionnaires and portfolios. Qualitative data interpretation used content analysis, and inferential analysis used multiple linear regression. Results revealed that parental engagement, teachers’ performance, and online learning obstacles affect local cultural values cultivation outcome in character education partially and simultaneously for sixth-grade students in Padang City. We suggested teachers improve character education management based on local cultural values by building good synergy and collaboration between them and parents to cultivate noble character behavior among students.

This research aims to determine second-year university students’ understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of 112 student teachers of primary teacher education program at two private universities in Indonesia were involved in this research. A qualitative method with a holistic type case study design was used in this research. The results indicate that a significant percentage of the participants could not correctly interpret and represent fractions. In terms of interpretation, it is found how language could obscure the misunderstanding of fractions. Then, the idea of a fraction as part of a whole is the most widely used in giving meaning to a fraction compared to the other four interpretations, but with limited understanding. Regarding data representation, many participants failed to provide a meaningful illustration showing the improper fraction and mix number compared to the proper fraction. Improvement of fraction teaching at universities - particularly in primary teacher education programs - is needed so that students get the opportunity to develop and improve their knowledge profoundly. We discuss implications for teaching fractions.

Algebraic knowledge transfer is considered an important skill in problem-solving. Using algebraic knowledge transfer, students can connect concepts using common procedural similarities. This quasi-experimental study investigates the influence of algebraic knowledge in solving problems in a chemistry context by using analogical transformations. The impact of structured steps that students need to take during the process of solving stoichiometric problems was explicitly analyzed. A total of 108 eighth-grade students participated in the study. Of the overall number of students, half of them were included in the experimental classes, whereas the other half were part of the control classes. Before and after the intervention, contextual problems were administered twice to all the student participants. The study results indicate that the students of the experimental classes exposed to structured steps in solving algebraic problems and the procedural transformations scored better results in solving problems in mathematics for chemistry compared to their peers who did not receive such instruction. Nevertheless, the result shows that although the intervention was carried out in mathematics classes, its effect was more significant on students' achievements in chemistry. The findings and their practical implications are discussed at the end of the study.

In all years of the Program for International Student Assessment (PISA) in primary mathematics education, Finland ranked in the lower places (44-61) in the dispersion index (the difference in scores between the 95th percentile and the 5th percentile), while Israel ranked in the upper places (1-3) in the same index. In the last PISA test, Israel ranked first (among the 78 participating countries) in grade differences, while Finland ranked 61st. The score for dispersion in Israel is 356 points, the highest among the countries and economic entities of the Organization for Economic Cooperation and Development (OECD). Based on these results, this comparative study between Israel and Finland was conducted to investigate the most important sociological factor in the Pisa test that influences most student achievements in mathematics in Finland and Israel, as well as the reasons for the differences in achievement between mathematics scores. The results of this study show that the differences in achievement in Israel are due to students' socio-economic status and the sector. In contrast, Finland's first sociological factor influencing student performance is socio-economic status. Nevertheless, it has a more negligible influence than in Israel. The second factor is student motivation.

In the last decades, the notion of universal design for learning (UDL) has gained prominence in the Greek educational scene (former government plan in education, projects based on UDL). This educational philosophy is essentially a necessary inclusive practice given the new conditions, the extreme heterogeneity of the student population due to socio-political and economic factors, and the exceptional circumstances due to COVID-19 pandemic. The UDL aims to ensure access and equity in learning for all learners despite differentiating characteristics. With our study, we seek to investigate whether teachers in secondary and second chance schools (SCS) are ready to implement UDL, what their expectations are, what obstacles they face, and the results of implementation through their records in reflection journals, a practice that is fully consistent with the context of UDL.

Autistic individuals are commonly characterized by stereotypical behaviors, which affect their daily life, particularly social aspects. The study aimed to assess the effectiveness of dance movement-based intervention in reducing stereotypical behavior among autistic children. The study used an experimental-based approach, which recruited 30 autistic children purposively between 9 and 15 years old, diagnosed with autism spectrum disorder- level 1 (ASD [1]) or autism spectrum disorder- level 2 (ASD [2]) from one autism center in Jordan. The intervention sessions were fifteen sessions and lasted 60 minutes. The dance movement and music were selected cautiously by professional therapists. The observation was the study tool for collecting data performed by both author and care providers. The results approved the effectiveness of the suggested intervention in reducing stereotypical behavior. The children presenting ASD (1) showed significantly less stereotypical behavior than those presenting ASD (2). The result also showed that the difference was significant and obvious from the first three sessions, but the best reduction was in the fourth session. However, the results refuted any difference in reduction of stereotypical behavior attributed to gender or age group of participants.

Systemic thinking skills are an increasingly important aspect of contemporary life for all students. Therefore, the first aim of the present study was to investigate the relationship between systemic thinking skills, epistemological beliefs, and mathematical beliefs in a sample of 120 secondary school students aged 16-18 years in Saudi Arabia. The second objective was to examine gender differences in these three variables. Participants answered scales measuring the Systemic Thinking Inventory (STI) and the Mathematical Beliefs Scale (MBS) created by the researcher. Additionally, participants answered the Epistemic Belief Inventory (EBI). Results showed a positive correlation between systemic thinking skills, epistemological beliefs, and mathematical beliefs. In addition, significant differences were found in favor of men on the systemic thinking skills on the holistic vision of the system and systemic synthesis skills subscales and females on the systemic analysis subscale. Significant differences were found in epistemological beliefs. A particular difference was innate knowledge and omniscient authority in favor of males, simple knowledge, certain knowledge, and rapid learning in favor of females. In addition, differences were found for mathematics teacher competence and self-efficacy beliefs in favor of males and the usefulness of learning mathematics, difficulty in mathematics, and enjoyment of mathematics in favor of females. The results are discussed in light of the relevant literature, and suggestions are made.

This paper analyzes the key determinants of the quality of preschool education in Bosnia and Herzegovina. Based on the analysis of recent data, the paper indicates the status and development trends in this regard in the last decade. Although preschool education in Bosnia and Herzegovina has a long tradition, it is facing a number of challenges, mostly arising from the arrangement of the state system and post-war transition processes which have significantly impoverished this level of education. Therefore, the main goal of this paper is to point out the recent public policy efforts made in the attempt to ensure the quality of preschool education in Bosnia and Herzegovina, as well as the effects that are being achieved in this regard. Since quality can be approached from the aspects of structure and process, the elementary structural and process dimensions of preschool education will be taken as units of this analysis. Conceptualizing the results of this analysis, the status and quality of preschool education in Bosnia and Herzegovina will be positioned through an orientation towards the European framework for the quality and development trends of preschool education in Europe.