Misconceptions are one of the biggest obstacles in learning mathematics. This study aimed to investigate students’ common errors and misunderstandings they cause when defining the angle and the triangle. In addition, we investigated the metacognition/ drawing/ writing/ intervention (MDWI) strategy to change students’ understanding of the wrong concepts to the correct ones. A research design was used to achieve this goal. It identified and solved the errors in the definition of angle and triangle among first-year students in the Department of Mathematics Education at an excellent private college in Mataram, Indonesia. The steps were as follows: A test instrument with open-ended questions and in-depth interviews were used to identify the errors, causes, and reasons for the students’ misconceptions. Then, the MDWI approach was used to identify a way to correct these errors. It was found that students generally failed in interpreting the concept images, reasoning, and knowledge connection needed to define angles and triangles. The MDWI approach eliminated the misconceptions in generalization, errors in concept images, and incompetence in linking geometry features.

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.

The research aimed to examine students' attitudes towards learning and teaching processes in an online course, investigating whether there was a difference between Jewish and Arab students' attitudes towards this course. The study combined mixed methods. Data were drawn from a questionnaire (including mostly closed-ended questions) completed by 195 graduate students and eight semi- structured interviews. Additionally, the students' grades for their course assignments were analyzed. Findings indicated that all course participants perceived the teaching and learning processes positively, but Jewish students held stronger positive attitudes concerning the learning processes' effectiveness than did Arab students. Jewish course participants' achievements were higher than those of Arab participants. The variable `sector` had a moderating effect on perceptions of the course structure's clarity and success in the course, strong clarity led to Arab students' success on the course but not for Jewish students. Arab students shared their difficulty adapting to a learning style necessitating autonomous learning processes. These findings are explained by Arab society's unique cultural dimensions, characterised by high-power distance and strong avoidance of uncertainty. The findings can inform designers of multicultural online courses that optimal teaching practices necessitate culture sensitivity, and this constitutes an issue for future studies.

The current study investigated the mediation effect of emotional reactivity and cutoff between attachment styles and interpersonal problems. The gender differences were also determined. A sample of (N = 200) students living in hostels of two universities of Lahore was used. There were (N = 100) female in the sample. The average age of the participants was 22.3 (SD = 1.46). The results of the study showed a significant relationship between close attachment style, emotional reactivity and cut-off, and with subscales of interpersonal problems like too much aggressive, too much caring, too much dependent, socially inhibited, hard to be involved, and hard to be supportive. Similarly, anxious and dependent attachment style showed significant relationship with emotional reactivity and cut-off and with subscales of interpersonal problems of hard to be sociable, hard to be assertive, hard to be supportive, hard to be involved, too aggressive, much caring, too open and too much dependent. The mediation analysis using Structural Equation Modeling (SEM) revealed that emotional reactivity and cut-off showed partially significant mediation between attachment styles and interpersonal problems. Women showed more interpersonal problems as too open and too much caring compared to men living in hostels. The findings of the study have significant implications in the social structure of relationships in hostels, particularly in South Asian cultural context.

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.

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.

The practicum is an essential component in the initial training of Secondary Education teachers, as it is the first approach to educational practice that future teachers have. This is a fundamental element for improving the quality of education, as it is one of the objectives of the different educational reforms. This research aims to find out the educational value of the practicum for this group, as well as its advantages and limitations. For this purpose, qualitative research was carried out, using as an instrument an interview with 13 Secondary Education teachers, 2 managers of the master’s degree in Secondary Education Teaching at the University of Granada, 144 students of this master’s degree, and 5 specialists in the subject at a national level. The data obtained were analysed by means of content analysis, using the Nvivo12 program. The most relevant results include the importance of the alternating and interdisciplinary models and development of the activities to be developed by the students during their stay in the schools. Respecting the current model, actions to create the necessary synergies and resources (tutors, supervisors, schools and planning) that promote the training model that is intended are particularly relevant.

Learning activities are conducted to help students achieve optimal academic achievement. This research aims to optimize student academic achievement through a learning process that integrates comprehensive formative assessments, including formative tests, self-assessment, peer assessment, and the initiator of creating summaries or concept maps that are given to students in a structured manner at the end of every lesson. The research method used was a quasi-experimental method with a 2x2 factorial design. Students enrolled in the biology education program of the basic physics course for the 1st semester of the 2019 academic year participated in this study. The participants were 66 undergraduate students divided into two classes. Thirty-four students in the experimental group were in class A, while 32 students in the control group were in class B. Data were collected using a learning outcome test instrument to measure academic achievement, which was tested at the end of the semester. Data were analyzed using a two-way ANOVA. This study concluded that a learning process that includes comprehensive formative assessment significantly affects students' academic achievement. These findings support the theory that formative assessment provides feedback, correction, and improvement in student learning.

Diagnostic tests are generally two or three-tier and based on classical test theory. In this research, the Four-Tier Diagnostic Test (FTDT) was developed based on modern test theory to determine understanding of physics levels: scientific conception (SC), lack of knowledge (LK), misconception (MSC), false negatives (FN), and false positives (FP). The goals of the FTDT are to (a) find FTDT constructs, (b) test the quality of the FTDT, and (c) describe students' conceptual understanding of physics. The development process was conducted in the planning, testing, and measurement phases. The FTDT consists of four-layer multiple-choice with 100 items tested on 700 high school students in Yogyakarta. According to the partial credit models (PCM), the student's responses are in the form of eight categories of polytomous data. The results of the study show that (a) FTDT is built on the aspects of translation, interpretation, extrapolation, and explanation, with each aspect consisting of 25 items with five anchor items; (b) FTDT is valid with an Aiken's V value in the range of 0.85-0.94, and the items fit PCM with Infit Mean Square (INFIT MNSQ) of 0.77-1.30, item difficulty index of 0.12-0.38, and the reliability coefficient of Cronbach's alpha FTDT is 0.9; (c) the percentage of conceptual understanding of physics from large to small is LK type 2 (LK2), FP, LK type 1 (LK1), FN, LK type 3 (LK3), SC, LK type 4 (LK4), and MSC. The percentage sequence of MSC based on the successive material is momentum, Newton's law, particle dynamics, harmonic motion, work, and energy. In addition, failure to understand the concept sequentially is due to Newton's law, particle dynamics, work and energy, momentum, and harmonic motion.

Recent educational policy initiatives in Ireland have focused on improving outcomes in reading and mathematics among students, particularly those experiencing educational disadvantage. However, science achievement in Irish primary schools has received much less research attention, especially in the context of educational disadvantage. This article examines science achievement and its relationship to school compositional effects in primary schools at the national level, including school-average indicators of the school context, as well as examining factors associated with science achievement in three distinct categories of schools (those with high, moderate, or minor levels of educational disadvantage). The data are drawn from the Fourth grade Trends in International Mathematics and Science Study (TIMSS) 2015 database for Ireland. Multilevel analyses were implemented in a stepwise manner. Findings suggest the relevance of school contexts with regard to science achievement. Before including school-level contextual variables, students from ‘minor disadvantaged’ schools achieved significantly higher science scores than students from schools with ‘moderate’ or ‘high’ levels of disadvantaged. However, this difference disappears after controlling for predictors at the school level. The findings highlight the importance of the home environment, including early numeracy activities and skills before children start school. Results are discussed with regard to educational policy and educational practice in Ireland.

The primary objective of this study is to require the experts’ unanimous agreement on the e-learning antecedents and usage behavior towards e-learning performance. This study used the Fuzzy Delphi Method (FDM) to gather answers and feedback using a 7-point Likert scale. The survey (items) was reviewed and approved by eight panel members or experts. It was analyzed using Fuzzy Delphi Logic (FUDELO 1.0) software. The data were evaluated using triangular fuzzy numbering and the position (ranking) of each variable was established through defuzzification. The findings revealed that all of the items received high levels of expert agreement, significantly greater α-cut defuzzification values >.5, the overall value of the threshold (d) is less than .2 and had to comply with the overall percentage of percent consensus, which must be greater than 75%. All 45 recommended items were retained adequately and acceptable for a large-scale survey in this study. Finally, each item was prioritized (ranked) based on the defuzzification value, and then some additional items were added, as recommended by experts.

By the spread of COVID-19, the entire world shifted suddenly to e-learning including schools. This study aims to find ways to enjoy teaching. Gamification in education refers to the introduction of game elements in non-game environment. A case study was adopted for this study as a qualitative approach to investigate the possibility of improving motivation. The study was conducted in the first and second semester of the 2020/2021. The sample consists of (6) participants of pre-services teachers studying in special education course for 15 weeks. Data were collected through semi-structured interviews. The result of the interview showed that there is a clear desire among the students to succeed during learning using game elements. Their desire is very clear and higher. Most of them became active during their learning. They enjoyed learning in gamified learning environment. The researchers recommended that the Ministry of Education should train teachers to employ game elements to motivate their students.

An issue that has preoccupied young researchers and educators is the interaction of the fields of special and intercultural education as well as the factors that lead to the coexistences of them. The purpose of this study is to examine the factors that hinder the learning process of second-generation immigrant students in Greek primary schools. The ages of the children we will refer to are 7-8 years old due to the school achievements in reading and writing that are mastered up to this age point. This study is part of a larger study, which consists of qualitative and quantitative data from two research tools: interviews and questionnaires from teachers and guardians. The results were divided into categories. One of the main ones that stand in the way of children's learning is psychological and social factors, according to 91.8% of the participants in the questionnaire. In addition, it is worth noting that 82.6% argued that the reason students have learning difficulties is due to biological reasons. In conclusion, there is a correlation between learning difficulties and intercultural education that should be studied. The latter can play a pivot role to the assistance of the diverse categories of students' needs.

Political context, community participation, principals’ supports, and the implementation of e-learning, refer to the orientation of efforts in overcoming the pandemic pressures, where these factors must ensure that all school programs can run effectively and efficiently. This study aims to identify the relationship between political context, community participation, principals’ supports, implementation of online learning and student achievement. Respondent in this research was the principal and elementary school teacher in East Java, Indonesia, 300 teachers and principals were respondents in this research. The Structural Equation Modeling method with the help of AMOS 24.0, is used in this study, while, mediation hypothesis testing is done with the Sobel Test. Based on the results of political context can significantly improve the achievement of students through community participation, principals’ support and implementation of e-learning. Research contributions show that with an ideal political context, high community participation, adequate principal support, and implementation of quality e-learning can improve the achievement of students even in crisis conditions in this case under the pandemic pressures.

Some Indonesians may still regard online education as a novel, although they frequently engage in online-related activities without even realizing it. The quality of learning, satisfaction, achievement, retention, and, more broadly, personal growth are all favorably correlated with student engagement. For students to provide their best effort and succeed in online learning, it is crucial to have good psychological engagement in them. This engagement will help their psychological processes and dispositions to improve. The quantitative research methodology was utilized in this research. In addition, 800 high school students from South Sumatra participated in this research as a sample. The structural equation model is analyzed (SEM). The findings indicated that 85.9 percent of the time, a psychological commitment is influenced by information communications technology (ICT) proficiency, psychosocial processes, and student performance. Thus, the value of .713 indicates that psychological involvement, psychosocial processes, and ICT proficiency all impact student performance. This study demonstrates that every hypothesis has a favorable and significant impact. These circumstances suggest that students who are proficient in ICT and psychosocial processes will be able to enhance their performance through challenging and dry learning. The interaction between students while learning strengthens this condition.

This meta-analysis study investigates the effect of computer-based tests on motivation. The random effect model is the basis for calculating the summary effect, and it is found that the 30 articles obtained through the PRISMA method, which consist of four parts, namely identification, screening, eligibility, and included, can be generalized. Data analysis was performed using R studio and OpenMEE. Based on the research results, the p-value <.05 was obtained, so it was concluded that using a computer-based test significantly affected motivation. In the moderator analysis, it was found that computer-based tests were most effective for intrinsic motivation for the motivation variable, university students for the participants variable, and the country of Iran for the region variable. Evaluation of publication bias using the funnel plot and regression method shows no publication bias, proving that the 30 articles analyzed represent all existing studies on computer-based tests.

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).

Implementing online learning has led to several issues, especially those related on assessments to measure students’ learning achievement. This study aimed to obtain accurate information on learning assessments for vocational high school (VHS) students during online learning, including assessment for learning (AfL), assessment as learning (AaL), and assessment of learning (AoL). It also investigated students’ perceptions of the assessments based on their grades. This quantitative research employed the survey method, collecting data through questionnaires. The population of this research is VHS students in Indonesia, totaling 86,885 students. The participants of this study were 487 VHS students. The data were analyzed using descriptive and ANOVA techniques. The results show that most VHS students positively perceive the assessment of learning achievements in online learning for AfL, AaL, and AoL aspects. Moreover, there is a significant difference in students' perceptions of the assessment in online learning based on grades. The perception of class XII students is the highest (average value = 3.90) of all classes, while the other classes have an average value of 3.38 for class XI, and the average value of class X is 3.81.