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.

This study aimed to describe the differences in students' creative thinking skills in a problem-based learning model with scaffolding in the biochemistry course. This study was designed using a quantitative explanatory research design with a sample of 113 students of the Jambi University Chemistry Education Study Program. In this study, the researcher used the experimental class and control class. The sampling technique used is total sampling and purposive sampling. The research data was taken by observation, test, and interview methods. The quantitative data analysis used was the ANOVA test and continued with the Post-Hoc Scheffe’s test. The findings of this study indicate that the results of the ANOVA test indicate a significant difference in the average creative thinking results in terms of psychomotor aspects with the acquisition of significance scores of 0.000. In addition, the results of this study indicate that class A students have higher creative thinking skills than class B and class C. This is because class A students use a problem-based learning model integrated with scaffolding in their learning.

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.

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.

This study investigates the contribution of teachers’ willingness to their professional competence in adapting to digital learning transformation during the Coronavirus disease (COVID-19) pandemic and its relationship to instructional leadership and self-efficacy. Data were collected by distributing online questionnaires consisting of 4 constructs, namely instructional leadership, self-efficacy, teacher’s willingness to change, and professional competence, and distributed to 221 Indonesian High School teachers. Structural Equation Model (SEM) was used for analysis using Analysis of Moment Structure (AMOS) version 23.0 to examine the hypotheses. The results showed that instructional leadership significantly influences teachers’ willingness to change with a positive impact on their professional competence. Furthermore, there is a significant effect on teachers’ willingness to change their professional competence, insignificant on self-efficacy with substantial impacts on their willingness to change. The analysis results through the Sobel test showed that the teachers’ willingness to change is an excellent mediating variable for self-efficacy in influencing professional competence. Conversely, it is not an excellent mediating variable for instructional leadership towards professional competence. The importance of teachers’ willingness to improve their professional competence is a new finding that significantly contributes to their professional development.

Vietnam has a reputation for being a successful nation in preventing the Coronavirus disease (COVID-19) outbreak in 2020, with a lower number of illnesses than other ASEAN countries. However, to ensure that students are safe and informed about the coronavirus outbreak, Vietnamese higher education has developed online learning (OL). During the COVID-19 epidemic, this paper explores the relationship between elements such as learning readiness, learning strategies, and learning performance in the Vietnamese OL setting. Four hundred undergraduate students were randomly selected from Hong Duc universities, and Saigon University participated in this study in different zones. Analyzed data has applied structural equation modeling (SEM) using partial least squares (SmartPLS-SEM). The findings found that Vietnamese students were much more likely to believe in interaction in OL, to feel comfortable using a computer with their computer efficacy, and to have confidence in communicating in the digital environment, all of which were important variables in assuring the success of using OL. The factors of “motivation” and “test preparation” show a poor relationship with learning performance. Therefore, the OL process in Vietnamese, on the other hand, needs to be more inventive, with a greater focus on lecturers' awareness and practice of online teaching pedagogies such as motivation, techniques, and test arrangement. During OL, students' readiness in terms of learning control, self-directed learning, and engagement must be considered and supported.

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.

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 in initial teacher education is a growing issue that reflects on teacher quality and their student’s maths anxiety and abilities. Previous studies have presented a range of different perspectives to mathematics anxiety. We aimed to explore further the reasons of mathematics anxiety in preservice teachers and suggest some intervention strategies in reducing maths anxiety for initial teacher education systems. We used a mixed methodology in this research analysing both qualitative data along with some quantified data derived from qualitative data sources. The findings provide insights to causes of maths and test anxiety along with some intervention strategies that teacher educators can use in their future teaching.

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.

This study aimed at exploring teachers’ perceptions of reflective teaching strategies in their teaching practice and the barriers that hinder the implementation of reflective teaching strategies. Quantitative and qualitative data were obtained by using a questionnaire and semi-structured interviews. The study took place in the context of high schools in most of the provinces in the Mekong Delta. The respondents involved in this research were fifty English as a foreign language (EFL) high-school teachers. The results revealed that most teachers have positive perceptions of the significance of reflective teaching strategies in their teaching. At the same time, the participants found barriers preventing them from implementing reflective teaching strategies in their language teaching such as lack of awareness of reflective teaching strategies, time or workload limitations as well as some obstacles related to the application of peer observation as a strategy of the reflective process. Finally, accordingly, the findings gained from two types of research tools, some pedagogical implications, and research suggestions on the effectiveness of EFL teachers’ application of self-reflection strategies in the teaching-learning process were proposed in the study.

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.

A socio-scientific issue is one of the learning techniques used today, which uses various scientific sources to make students think scientifically to conduct a dialogue and discuss solving a problem. Various problems in socio-scientific are controversial, requiring reasoning, and ethical evaluation in the decision-making process. A conflict between chemical reason and students' social point of view will cause students' different assessments and attitudes towards the socio-scientific issue. This study is a research and development (R&D) that focuses on the instrument's validity with the factor analysis technique to assess attitudes towards the socio-scientific issue in chemistry learning. CFA and EFA analysis found five factors in the tool: anxiety, interests, likes, benefits, confidence, validity, and reliability. The total reliability coefficient is .853. Of the eight instrument feasibility analysis requirements, seven instruments were declared fit to meet construct validity.

Translanguaging enables students to communicate in multiple languages in an English-dominant classroom. It has received considerable attention from scholars in content and language integrated learning (CLIL). Its implementation in primary schools in European countries has been adopted in Asian countries, including Indonesia. This study employed a narrative inquiry investigating a teacher who taught first graders both content matter and English during the COVID-19 forced-remote learning. Furthermore, data were gathered using semi-structured interviews to guide the participant in narrating CLIL science teaching experiences. Virtual observations were carried out eight times to obtain evidence of translanguaging practiced. Due to forced-remote learning, the results indicated that the teacher had to find the most convenient ways to instruct the young students without adding to their burden. Furthermore, it was reported that scaffolding by translanguaging was planned systematically by valuing the students’ L1 and alternating it with English as the target language. The findings also discussed the practical implications of this study to maintain young learners' (YLs) engagement through translanguaging strategies.

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.

We developed a Quantum Mechanics Conceptual Understanding Survey (QMCUS) in this study. The survey was conducted using a quantitative methodology. A multiple-choice survey of 35 questions was administered to 338 undergraduate students. Three experienced quantum mechanics instructors examined the validity of the survey. The reliability of our survey was measured using Cronbach's alpha, the Fergusson delta index, the discrimination index, and the point biserial correlation coefficient. These indices showed that the developed survey is reliable. The statistical analysis of the students' results using SPSS shows that the scores obtained by the students have a normal distribution, around the score of 7.14. The results of the t-test show that the students' scores are below the required threshold, which means that it is still difficult for the students to understand the concepts of quantum mechanics. The obtained results allow us to draw some conclusions. The students' difficulties in understanding the quantum concepts are due to the nature of these concepts; they are abstract and counterintuitive. In addition, the learners did not have frequent contact with the subatomic world, which led them to adopt misconceptions. Moreover, students find it difficult to imagine and conceptualize quantum concepts. Therefore, subatomic phenomena are still explained with classical paradigms. Another difficulty is the lack of prerequisites and the difficulties in using the mathematical formalism and its translation into Dirac notation.

COVID-19 and the expansion of distance learning pose new challenges to the educational system. Soft skills are imperative in this context, for children's effective and adaptive learning. The following study aims to discover teachers' representations by identifying their common conceptual framework of soft skills in primary school. Semi-structured interviews were conducted with teachers. The teachers' comments helped identify and define a framework of soft skills that would help children learn effectively. The results illustrate that the lack of practice of soft skills activities depends on the teachers' perceptions of the importance of their role in transmitting disciplinary knowledge. The study concluded that the lack of a clear and shared vision of soft skills influences the representations and practice of teachers.

This mixed method case study examined potential influences of social agents or immediate environments on individuals’ metacognition. Via quantitative methodologies, 122 pre-service teachers’ metacognition was measured by the Turkish Metacognitive Awareness Inventory, and metacognitive components did not show any variations across majors, locations of previous studies, the highest degree of education in the family, frequently communicated friends, and regions. Regression analyses revealed that friends were a significant predictor for metacognition. Also, focus group interviews were analyzed thematically via deductive codes regarding the theory of metacognition. Findings confirmed that friends may support individual metacognition at all levels, metacognitive knowledge, regulation, and experiences through cooperation, modeling, reflections, discussions, feedback, and peer evaluation. Pre-service teachers’ engagement on the social media may also support their regulatory strategies due to models’ task performances or by their reflecting upon those performances. Teachers and family may support metacognitive knowledge, specifically career goals via expectations, anecdotes, and experiences. On the other hand, schools and the Turkish culture may impose some limitations on the youth, and they may engage in reflection and self-questioning to manoeuvre negative experiences or conflicts. Thereby, cross-national and longitudinal studies are highly suggested to explicate the social foundations of metacognition.