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.

Learning by teaching is a technique where students teach an actual class to facilitate active learning. This paper reports ongoing research involving undergraduate students at an established university in Indonesia. The objective of this quantitative study was to find out the effect of this teaching technique in improving students’ 21st century skills. The sample was selected using a cluster sampling technique, where 25 students who were English as a Foreign Language pre-service teachers were assigned to an experimental group, and the other 23 students were treated as a control group. The students in the experimental group were asked to conduct a workshop in groups to students from the same department at a different university. Each group selected one of the topics in their course syllabus. A pre-test measuring the students’ soft skills was conducted before the course started and after it finished. The results show that soft skills, which include accountability, communication, innovation, problem-solving, teamwork, professional working, and networking skills, improved significantly among students in the experimental group, but the improvement was not evident in the control group. Therefore, learning by teaching should be embraced as an alternative teaching technique when soft-skill development becomes a target of instruction.

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.

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.

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.

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.

This investigation examined English as a foreign language (EFL) teachers’ perceptions of their self-efficacy in using instructional strategies in the context of the Mekong Delta of Vietnam. The research was designed as a descriptive research collecting quantitative and qualitative data from a questionnaire and semi-structured interviews. Forty-six Vietnamese EFL teachers were invited to partake in the study. The results indicated that participants were in general confident in using instructional strategies in their English classes. Specifically, the participants were highly confident in their abilities to use multimedia (M=4.41), assessment techniques (M=4.35), and classroom English (M=4.35). The study also indicated that participants were not confident in evaluating the level of task difficulty (M=3.37), dealing with unmotivated students (M=3.57), and meeting students’ particular needs for support (M=3.62). Pedagogical implications and recommendations were addressed to help manifold stakeholders at the end of this paper.

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.

The delivery of science, technology, engineering and mathematics (STEM) learning to improve an individual’s competence and future career interests has become a critical scientific undertaking for teachers and researchers alike. A plethora of research has proposed various hands-on robotics activities built on constructivist theories, thereby facilitating the development of knowledge based on reality for scientific and non-scientific stakeholders. Robotics may become an essential focus point within technology provision, which is an essential underlying characteristic for the seminal development of computational thinking (CT). However, despite the potential benefit of CT in developing an individual’s problem-solving skills, strategies for improving this ability through hands-on robotics activities largely remain underexplored. This paper highlights the constructs drawn from hands-on robotics activities in a STEM workshop designed for pre-service teacher students. The qualitative research design involved eight participants to investigate the responses of pre-service teachers to a hands-on robotics activity intended to provide STEM material. The research findings emphasise the correlations between the CT principles and STEM learning phases and underscore the roles played by educational robotics to enhance previous literature on learning experience.

The main objective of this research was to study the effects of instructional management models and nominal variables on the development of students’ creative thinking. The researchers used the research synthesis of 400 studies on the development of students' creative thinking by a meta-analysis of research according to Cohen. The meta-analysis results revealed that the average effect size of the instructional management model (d = 3.43; [3.10, 3.17]) was positive and had a very high effect size with statistical significance. The most significant influence on the creative thinking development model was creative development theory (d = 4.217; [3.32, 5.11]). In addition, effect sizes varied with the attribute variables of the research, particularly the attribute variable of the research on instruction with the highest effect consisted of research with the focus on language, at the primary level, applied Torrance's creativity theory, designed between one to six lesson plans. Moreover, there was less than one hour per plan, the instructional period including the experiment conducted more than 31 hours and there were four weeks of instruction. In addition, there were six steps for instruction, there had quiz as an assessment tool, number of exams varied between 30 and 39 questions, and knowledge sheets were used as instructional materials. In the context of the meta-analysis, the findings indicated that the teachers should apply creative development theory in developing the students’ creative thinking for more effective instructional management.

COVID-19 pandemic forces training for principals to be conducted online. This study aims to evaluate the context, input, process, response, study, behavior, and outcome to determine the effectiveness and make recommendations for training. The approach used in this study was a mixed method with a concurrent embedded design and a qualitative method as the main method. The subjects of this study were the principals, committees, and instructors. Data were collected through interviews, observations, and questionnaires and analyzed using Miles and Huberman's model, descriptive analysis, and a t-test. The results show that e-training is effective in context, input, and process. Response, learning, and attitude assessments prove that knowledge, skills, and attitude have improved. Participants will be able to implement the experience gained and impact school quality improvement. This study contributes to the combination of the two evaluation models proven to produce a complete result. The study for the e-training recommends needed assessment before the training, the activity before the training to acquire the skills in using the learning management system, and the monitoring and evaluation after the training.

In this study we modeled the environmental literacy of Vietnamese preschool teachers. 324 in-service preschool teachers from Ha Noi, Da Nang, and Ho Chi Minh, Vietnam contributed to the study via an online survey. Structural Equation Modeling (SEM) was used to test the hypotheses of the relationships between environmental knowledge (KN), environmental awareness (AS), decision attitude (DA), personal behavior (PB) and environmental teaching activities (ACT) of these teachers. The results showed that the level of environmental literacy of preschool teachers in Vietnam was moderate with mean score for AS, DA, PB, and ACT ranged from 3.18 to 4.32 on a 5-point Likert-type scale. The results also indicate that the preschool teacher’s KN had a positive impact on AS and DA; PB was influenced by AS, but not by KN or DA. In addition, a correlation analysis showed AS and PB had a positive impact on ACT, while DA had a negative influence on ACT. These findings imply that preschool teachers with certain desirable environmental literacy had more tendencies to implement ACT. Based on the findings, recommendations and implications are provided for policy makers, preschool teachers, and researchers in Vietnam and other countries.

Teacher agency is a set of actions that a teacher takes beyond what is generally expected of them. The concept merits examination, as agency can bolster teachers’ ability to set and achieve professional development goals. To better understand how to study, and use, this relatively new concept in the academic literature, a systematic review of 164 publications written by researchers from 41 countries was conducted in order to document the research approaches used to study teacher agency, the participants whose agency was documented in a school setting, the methodology used and the type of analysis performed. The study found that teacher agency has been documented qualitatively in the form of case studies comprising interviews of a small number of individuals, with no consensus in terms of interview protocol. In most cases, the results are analyzed using emergent coding. The way that agency is documented varies but is most often underpinned by an ecological approach.

Guided by the analytical framework in the current literature, whereby ten nature of science (NOS) aspects were targeted, this study aims at assessing the extent to which the three physics textbooks for Cycle 4 of Fundamental Schools in Burundi represent the NOS aspects. The quantitative embedded research design which combines the qualitative and quantitative to both the representations of text and images were applied to collect and analyses data. Three physics textbooks used in this study as textbooks I, II and III (grade 7 textbook, grade 8 textbook and grade 9 textbook) were purposively selected. 65 physics lessons were analyzed in three steps including exploring representations of NOS aspects, representations of NOS teaching approaches and accuracy and completeness of NOS aspects. Data were collected using a guide document analysis and a rubric of NOS scoring and were analysed descriptively. The findings found a considerable deficit of NOS aspects in the physics textbooks. The findings also revealed the critical situation where the few lessons poorly represent the NOS aspects and the majority of them do not include the aspects of NOS. Furthermore, this study suggests the in-charge of quality assurance to evaluate and deliberate on the accuracy and completeness of physics textbooks for Cycle 4 of Fundamental Education in Burundi.

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.

The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS). The explanatory method was used in this qualitative study. The participants were mathematics students at the Department of Mathematics, Universitas Negeri Semarang. The researchers collected the data with the cognitive style test using the Matching Familiar Figure Test (MFFT), used a valid problem-solving skill test, and the interview questions. The data analysis techniques used were processing and preparing the data for analysis, extensive reading of the data, coding all data, applying the coding process, describing the data, and interpreting the data. The results showed that (1) the problem-solving process of students with symbolic representation was characterized by the use of mathematical symbols to support the problem-solving process in the problem representation phase; (2) the problem-solving process of students with symbolic-visual representation was characterized by the use of symbols, notations, numbers, and visual representation in the form of diagrams in the problem representation phase.