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 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.

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.

Competent instructors need to have the skills, abilities, and competencies to perform tasks effectively, which will affect student learning achievement. This study is guided by the theory of Boyatzis developed by Spencer and Spencer. The Iceberg Competency Model was used as a guideline to identify the competency elements of educators from the agricultural stream in vocational colleges (KV). This research study aims to explore and identify the existing competency elements of agricultural educators in KV. This study used a study population comprising 243 respondents of agricultural educators in KV. To answer the research question, the data analysis was done by Partial Least Squares - Structural Equation Modeling (PLS-SEM). This study is a study built to observe the relationship between the latent constructs studied. These constructs consisted of exogenous and endogenous constructs. In this study, exogenous constructs comprised value constructs, social roles, self-image, motives, traits and constraints. At the same time, endogenous constructs involved constructs of skills and knowledge. To ensure that the construct of this study gives meaning to the reflective measurement model, it was evaluated based on internal consistency reliability and validity. Regarding the framework, some indicators that did not qualify were dropped based on factor loading and average variance extracted (AVE). From the analysis conducted, 16 indicators were dropped since they did not meet PLS-SEM requirements. The total number of items retained was 71 indicators. At the final stage of this study, the evaluation model was implemented to form a framework involving the evaluation of the constructs linked to each other.

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.

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.

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.

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.

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.

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.

The decline in student character is the result of low student learning outcomes. The common student learning outcomes are influenced by several factors, and one of them is teacher-centered, monotonous learning model. For this reason, it is deemed necessary to conduct research that aims to determine the effect of project-based assessment on values clarification technique (VCT) learning on improving students’ learning outcomes by controlling the family environment. This study uses a 2x2 factorial experimental design. The sample was selected through multistage random sampling with 120 students. The two-way ANCOVA data analysis technique was used to analyze the data. The findings obtained after controlling the family environment are: 1) civics learning outcomes from the group of students who used value clarification techniques are higher than those using conventional learning models and 2) civics learning outcomes from the group of students who were given project-based assessments are higher than the group who are given conventional assessments. Thus, it can be recommended that civics education teachers used appropriate VCT and project-based assessments to improve learning outcomes.

Nowadays, Peruvian physicians commonly give oral medical reports to a patient´s family in English. For this reason, this research seeks to demonstrate the effectiveness of an Intervention Program for improving oral skills through role-playing activities, one hand, and, on the other, it aims to discover the kind of motivation, both goals in 40 students belonging to the Medicine Faculty of Universidad Nacional de Piura. This study has two parts, in the first quantitative phase, it measured the level of oral skills in these students, through an oral pre-test. After that, the students participated in an intervention program consisting of role-playing activities where the doctors usually use radiography to explain a medical condition. Then, the students were evaluated on their oral skills using an imaginary hospital situation similar to the pre-test. In the second part, the qualitative phase measured the Motivation of these students using the Attitude Motivation Test Battery (AMTB) in addition, a semi-structured interview could support the findings obtained in the aforementioned survey. The main findings were the improvement of oral skills and both Integrative and instrumental motivation in these students thanks to role-playing activities application.

Successful teaching requires teachers' reflections and metacognitive awareness. However, few studies have investigated the impacts of reflections on teachers' metacognitive awareness in teaching. This study aimed to examine whether or not reflections can empower Indonesian pre-service English teachers' metacognitive awareness in teaching. Mixed-methods research was conducted to collect quantitative and qualitative data from 36 pre-service English teachers (PSETs) in two micro-teaching classes at the Undergraduate Program, Sanata Dharma University, Yogyakarta, Indonesia. Quantitative data from the pre-semester and post-semester were analyzed descriptively and statistically. Qualitative data from reflections and focus group discussions (FGD) focused on determining key issues related to PSETs' metacognitive awareness in teaching. Data analyses revealed that Indonesian PSETs' perceived metacognitive awareness in teaching increased post-semester. They also admitted the positive contributions of reflections in enhancing their metacognitive awareness in teaching. The increase was primarily attributable to the implementation of explicit reflections of the elements of metacognitive awareness in teaching. This research provides recommendations for teachers, lecturers, and future researchers.

Mathematics teachers’ instructional strategies lack in-depth knowledge of algebraic systems and hold misconceptions about solving two algebraic equations simultaneously. This study aimed to gain an in-depth analysis of teachers’ knowledge and perceptions about the promotion of conceptual learning and effective teaching of algebraic equations. The main question was, ‘How do junior secondary school mathematics teachers manifest their pedagogical practices when teaching algebraic equations? This article reports on a qualitative, underpinned by the knowledge quartet model study, that sought to explore how junior secondary school teachers’ pedagogical practices manifested in the teaching of algebraic equations. Data were collected from observations, semi-structured interviews, and document analysis of two mathematics teachers purposely selected from two schools. The collected data were analysed using a statistical analysis software called Atlas-ti. (Version 8) and triangulated through thematic analysis. The study revealed that teachers’ choices of representations, examples, and tasks used did not expose learners to hands-on activities that promote understanding and making connections from the underlying algebraic equation concepts. The study proposed Penta-Knowledge Collaborative Planning and Reflective Teaching and Learning Models to enable teachers to collaborate with their peers from the planning stage to lesson delivery reflecting on good practices and strategies for teaching algebraic equations.

This study aims to analyze the characteristics of social skills, digital literacy disposition, and mathematical literacy abilities of 49 students; to analyze the theoretical model of the direct and indirect influence of digital literacy skills and social skills on mathematical literacy skills. The number of samples is 49 of the 12th-grade students at state high school #1 Southern Konawe. The research instruments consisted of a mathematical literacy ability test, a social skills questionnaire, and a digital literacy disposition questionnaire. The data were analyzed by descriptive statistics and structural equational models (SEM) with a Smart PLS 3.0 application. The results showed that students' mathematical literacy skills tended to be better on content and context indicators but they are weak on competency and process indicators. Students' social skills tend to be better on indicators of peer-relationship skills and self-management skills, but are also weak on indicators of academic skills and compliance skills. Mastery of the digital literacy disposition tends to be better on the internet searching, content evaluation, and information sharing indicators but is still weak on knowledge assembly. Furthermore, it was found that (a) social skills have a direct effect on digital literacy disposition but do not directly affect mathematical literacy skills; (b) the digital literacy disposition has a direct effect on mathematical literacy skills.