This study aims to explore the pattern of external representation of suspending objects in a static fluid. The study used a qualitative descriptive method involving 57 elementary, junior, senior school, and university students. Data collection implemented a 30-item test covering the dominant context of suspending and partially floating and sinking.  Some of phenomenographic steps were adapted in data analysis. Based on the data analysis, it can be concluded that there is a dominant external representation pattern, where there is a simplification of the depiction of suspending objects. Suspending position tends to be locked in a limited area, namely in the middle of the depth of the liquid. In the context of suspending objects' cuts, the cuts were generally represented by an upward shifting pattern. Factors that influence the pattern of representation are the involvement of intuition in conceptualizing the phenomena presented, and the conceptual aspect of density has not been integrated into the reasoning process for compiling external representations, both diagrams, and texts. Research limitation is presented in this article.

The Coronavirus disease (COVID-19) pandemic has caused an inevitable shift from face-to-face to distance learning, a phenomenon known as panic-gogy. Parents are the main students’ companions while studying at home. Although various studies show the constraints in this condition, few employ phenomenology that accurately describes people’s experience regarding a situation. Therefore, this study aimed to describe parents’ experience during distance learning mathematics using a phenomenology approach. The participants comprised 71 35-50-year-old parents of junior high school students. A Google form with open-ended questions was used as the main instrument in data collection. Data were analyzed using NVivo-12-assisted thematic analysis in coding, while source triangulation was used to strengthen the data trustworthiness. The results showed that students did not learn the content well due to poor explanations by the teacher. Furthermore, they did not study well at home due to signal constraints and quota limitations. This study recommends blended learning by combining limited face-to-face and online learning.

This study presents an inquiry-based teaching approach using a rich methodology involving STEM (science-technology-engineering and mathematics) projects, developed using a cooperative way to work between schools and research centres. We describe the teaching pattern scenario with students, teachers, and scientists. We also illustrate the learning process, conducted through two inquiry-based problems in Biochemistry, the mutagenesis process and the transgenesis effects caused by inoculation of bacteria. The teaching sequence, as well as the scientific knowledge and students’ competencies involved, are shown. We then analyse the students' and teachers' perceptions in this scenario regarding the development of students' STEM learning through their inquiry skills promoted and concerning predictors to vocational careers involved (students’ identities as potential scientists, scientific attitudes, social implications towards science or students´ agency). Finally, we add some conclusions and contributions to teaching STEM education, related to factors of the design teaching scenario that bring connections with the interests and motivations of students, such as the relevance of the projects to evoke understanding of processes or causal relationships of content or the teacher's professionalisation supported by a proper allocation between scientists and teachers.

This study examined the impact of modular distance learning on students' motivation, interest/attitude, anxiety and achievement in mathematics. This was done at the Gabaldon, Nueva Ecija, Philippines during the first and second grading of the academic year 2021-2022. The study included both a descriptive-comparative and descriptive-correlational research design. The 207 high school students were chosen using stratified sampling. According to the findings, students have a very satisfactory rating in mathematics. Students agree that they are motivated, enthusiastic, and have a positive attitude toward mathematics. They do, however, agree that mathematics causes them anxiety. When students are subdivided based on sex, their mathematics interest and anxiety differ significantly. However, there was no significant difference in interest/attitude and achievement. When students are divided into age groups, their mathematics motivation, interest/attitude, anxiety, and achievement differ significantly. Students' motivation, anxiety, and achievement differ significantly by year level. There was a positive relationship between and among mathematics motivation, interest/attitude, and achievement. However, there is a negative association between mathematics anxiety and mathematics motivation; mathematics anxiety and mathematical interest/attitude; and mathematics anxiety and mathematical performance. The study's theoretical and practical implications were also discussed, and recommendations for educators and researchers were given.

The study of character becomes a very important discussion in the 21st century. So that the integration of character values is very important both in the process and in educational assessment. The purpose of this study was to test the validity and reliability of the character assessment instrument for 21st-century high school students. The research approach used was quantitative with a sample of 200 high school students. Data analysis carried out includes validity and reliability tests. The test results of the instrument showed that the construct of the student character assessment instrument was declared valid and reliable. The content validity test shows the value of Aiken's > .80 in the high category. In the construct validation test with EFA, all variables have a loading factor > .5. In the CFA test, the model is declared fit with the estimated standard loading value of .40 and the t-count value > 1.96. Meanwhile, while in testing the reliability of the instrument obtained composite > .70 Cronbach's Alpha reliability > .70 which means reliable. So that this instrument is declared valid and reliable to measure the character of students in high school.

Teachers´ life-long learning and occupational well-being is significant in promoting educational goals and professional development. The aim of the study was to determine which factors contribute to teacher educators´ commitment to work and give them energy for work and self-development. The research data consisted of 24 teacher educators in Oulu University of Applied Sciences. The research method of this case study was a qualitative, thematic content analysis, the research approach phenomenography. The most important single factor seemed to be the community of teachers, students and the administrative staff which are included in dialogue and collaboration. Emotions, meaningfulness, and interaction play an important role, often via pedagogical fellowship. Committed teacher educators take responsibility for workplace culture and transformation of teaching. Positive attitudes, motivation, reflection, and dialogue seem to be connected to professional capability and the ethos of teacher educators´ work.

Recently, researchers have paid more attention to the aspects of classroom learning environments because of their effects on students’ cognitive and effective outcomes. However, current literature reveals the lack of research that explores the factors of classroom environments in Vietnamese context. The present study, therefore, aims to validate the psychometric properties of the 25-items version of the My Class Inventory (MCI), translated into Vietnamese for 487 secondary school students. Factorial analysis showed an acceptable fit for the four-factors structure of the MCI – cohesiveness, competitiveness, satisfaction, and friction – to be appropriate for secondary school students. Internal consistency reliabilities of the general scales and four subscales were satisfactory. Results support the suitability of the MCI to assess students’ classroom environment within Vietnam’s educational context. The study recommended, among other things, that future studies should be conducted to explore the validity of the MCI on other samples of Vietnamese secondary students.

Regardless of varied lingua-cultural ideologies enriching the theories of communicative competence (CC), the four CC dimensions (e.g., linguistics, sociolinguistics, discourse, and communication strategies (CSs)) still become the main cores of English speaking (ES) classrooms. Of the four dimensions, CSs seem to be the most technical which deserve to be persistently studied. Hence, this study aimed to probe into ES lecturers’ performances of CSs, their efforts to improve students’ CC, and the impacts of their efforts on students’ learning according to students’ perspectives. Two ES lecturers and 10 students at a university in Indonesia were purposively selected to be the participants. They were observed and interviewed according to the study’s purposes. This study uncovered various CSs performed by ES lecturers according to several contexts, such as to understand spoken texts, to understand spoken recorded texts, and to overcome temporary communication difficulties. Various ES lecturers’ efforts were also revealed according to their functions to improve each dimension of CC. Most students perceived the lecturers’ efforts positively due to the impacts on their motivation, self-efficacy, collaborative skills, and metacognition. However, few students echoed negative perceptions about a lecturer’s native-speakerism-endorsed effort due to lingua-cultural issues. Implication, limitation, and recommendation are discussed.

Numerical thinking is needed to recognize, interpret, determine patterns, and solve problems that contain the context of life. Self-efficacy is one aspect that supports the numerical thinking process. This study aims to obtain a numerical thinking profile of Mathematics pre-service teachers based on self-efficacy. This study used descriptive qualitative method. The data obtained were based on the results of questionnaires, tests, and interviews. The results of the self-efficacy questionnaire were analyzed and categorized (high, moderate, and low). Two informants took each category. The results showed the following: informants in the high self-efficacy category tend to be able to interpret information, communicate information, and solve problems with systematic steps. Informants in the moderate self-efficacy category tend to be able to interpret and communicate information, but tend to be hesitant in choosing the sequence of problem-solving steps. Meanwhile, informants in the low self-efficacy category tend not to be able to fully interpret the information. As a result, the process of communicating information and solving problems goes wrong. Another aspect found in this study is the need for experience optimization, a good understanding of mathematical content, and reasoning in the numerical thinking process.

Technological tools are means by which online teaching could encourage the engagement of students, especially elementary students. The present research studies how elementary teachers develop their use of technological tools in their asynchronous and synchronous online teaching, specifically when this online teaching occurs during emergency education. The research was conducted in the academic year 2019/2020. We interviewed two elementary teachers, where one of them taught asynchronous lessons more than synchronous, while the second taught synchronous lessons more than asynchronous. We analyzed the data using two frameworks: one for interaction type and one for engagement type. The research results indicated that different interaction types influenced teachers’ decisions to use technological tools. In addition, what concerned the teachers’ use of tools at the beginning was the cognitive engagement, but they advanced towards focusing on behavioral and the affective engagement.

This research investigated the correlations among problem-solving, coping styles, and stress levels of parents of children with autism spectrum disorder, attention deficit hyperactivity disorder, and typical development. We used a correlational survey model design and collected the data with the Problem-Solving Inventory (PSI), the Ways of Coping Questionnaire (WCQ), and the Parent Stress Scale (PSS). The study group consisted of 350 parents. The research findings revealed that stress levels were negatively correlated with functional coping strategies and problem-solving. We found no significant difference between parents of children with Autism Spectrum Disorder (ASD), Attention Deficit Hyperactivity Disorder (ADHD) and typical development in terms of problem-solving approaches. Considering the relationships between the parents in terms of WCQ scores, there was no statistically significant difference in the subscales of self-confidence approach, submissiveness, optimistic approach, and seeking social support. Only the subscale of helplessness differed statistically based on the disability. Regarding the correlations between the groups in terms of stress levels, we found that the typical developmental group had lower PSS scores than the Attention Deficit Hyperactivity Disorder and Autism Spectrum Disorder groups. We believe that preventive support programs for stress management can make significant contributions to efficient coping methods and problem-solving.

This study investigated student teachers’ teaching self-efficacy level and factors that predict it (using five-factor mentoring model). Two hundred and ten third and fourth-year student teachers (N=100/N=110; 93.8% females) were involved in the study and asked to complete a self-report questionnaire. The “Mentoring for Effective Primary Teaching” instrument and “Teachers' Sense of Efficacy Scale” were used to collect the data. Findings indicated that higher levels of student teachers' self-efficacy are positively associated with the level of mentoring experience during the teaching practicum. The results found that fourth-year students reported significantly higher levels of teaching self-efficacy than third-year students. This study reported that there is a significant mean difference in student teachers’ self-efficacy beliefs in terms of having parents in the teaching profession. A multiple regression found that mentor teachers’ personal attributes are the best predictor of student teachers' teaching self-efficacy beliefs.

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.

The embodiment of teacher leadership has currently shifted onto the practice of teacher collaboration due to its potential to solve students’ problems such as low critical thinking skills. Accordingly, this study quantitatively aimed to examine the effect of teacher collaboration on educational management students’ critical thinking skills as well as their critical thinking retention. Subsequently, it qualitatively investigated the students’ perspectives on teacher collaboration. 60 students selected randomly took part in the experimentation, in which 30 students were taught with teacher collaboration, and other 30 students were taught with individual lecturing. 10 students taught with teacher collaboration were further selected purposively to be interviewed for the qualitative investigation. Descriptive statistics alongside paired and independent t-tests were deployed to analyze the experiment results, and an interactive model was adopted to analyze the qualitative findings. The experiment showed that teacher collaboration had a more positive and significant effect on students’ critical thinking skills than its counterpart did. The students taught with teacher collaboration enjoyed good retention of critical thinking skills as well. The students perceived that teacher collaboration improved their collaborative skills, awareness, and metacognitive skills in learning. Implication, limitation, and recommendation are discussed.

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.