This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and understanding the form of row echelon and reduced row echelon forms. In this study, subjects were three prospective mathematics teachers from Swadaya Gunung Jati University Cirebon who were taking matrix algebra courses. This study aims to reveal the conceptual understanding of prospective mathematics teachers in determining the solution to systems of linear equations. The results show that there are still prospective mathematics teachers who only use memory about the properties and procedures in determining whether a matrix is said to be a row echelon form or a reduced row echelon form. Then, there is still weakness in building the algorithms' relationship due to the immature knowledge of the concepts. Researchers found that many prospective mathematics teachers were more comfortable solving problems that were performed procedurally. Further research is needed to determine how the mental construction process and mathematical conceptual knowledge of prospective mathematics teachers are through meaningful learning so that conceptual understanding is maximized.

Multicultural education improves educators’ understanding of the complexities of different cultures and the inherent intersectionality of race, gender, class, and exceptionality to liberate students from oppressive structures within society. The purpose of this study is to illuminate the perceptions of educational leadership graduate students regarding multicultural education and transformative leadership through the lens of critical pedagogy. During this qualitative case study, the researchers used course materials, including discussion and responses, book reviews, and presentations, to answer these research questions: What factors drove the graduate students to want to seek out further experiences for them or their students with multicultural education? What did the participants perceive as potential barriers to influencing educational reform? In what ways did the perceptions of the graduate students regarding multicultural education change over the course of a semester? Three themes emerged from the analysis, the illusion of inclusivity, cultural awareness, and the disconnection between theory and practice. This research could impact current and potential future educational leaders and provides information that would benefit school districts, teachers, and students.

Teaching mathematics in general and instructing mathematics at junior schools in particular not only create favorable conditions for students to develop essential and core competencies but also help students enhance mathematical competencies as a foundation for a good study of the subject and promote essential skills for society, in which mathematical communication skill is an important one. This study aimed to train students in mathematics communication by presenting them with topics in line with the structure's congruent triangles. An experimental sample of 40 students in grade 8 at a junior school in Vietnam, in which they were engaged in learning with activities oriented to increase mathematical communication. A research design employing a pre-test, an intervention, and a post-test was implemented to evaluate such a teaching methodology's effectiveness. For assessing how well the students had progressed in mathematical language activities, the gathered data were analyzed quantitatively and qualitatively. Empirical results showed that most students experienced a significant improvement in their mathematical communication skills associated with congruent triangles. Additionally, there were some significant implications and recommendations that were drawn from the research results.

The purpose of the study was to examine correlations between perceived teacher innovation (PTI) and self-regulated learning (SRL), where learning motivation, self-efficacy, and learning transfer help illustrate the interplay between and among influencing variables in the teacher-student relationship. This study gathered 213 valid questionnaires out of 355 participants in the Design Thinking for Data Scientists, which is one of the courses taught from a university in Taiwan. This study has analyzed the possible linkage in the Structural Equation Modeling (SEM) through the path coefficient. The ensuing data analysis study has shown that learning motivation, self-efficacy, and learning transfer not only served as the mediator effects in the PTI and SRL but also played small moderating effects. It appears that when learning motivation, self-efficacy, and learning transfer decrease, the interplay between PTI and SRL becomes stronger. It is necessary to increase the level of intrinsic motivation by the perception of greater innovation in teaching materials. By so doing, students would be more receptive and affective of course contents in the classroom and regulate themselves to achieve educational goals. The implications of teachers' perceptions of pedagogical innovation for learning motivation and learning experience are likewise discussed.

This study aims to present the potential of Participatory Action Research (PAR) to bring together the experiences of teachers and researchers with the intention of improving teaching practices and students’ learning outcomes. Participants in the study were 7 teachers, their 160 fifths grade students, and researchers (authors). Teachers and researchers participated as partners in all collaborative activities during the period of 12 weeks.  All teachers assisted by the researcher (first author) who serves as a teacher at the same school, were involved in implementing the reciprocal teaching method (RTM) in math classes. They examined each step of the implementation of this method in order to investigate whether it has an impact on student achievement in solving mathematical word problems. Teachers observed the work of students in their classes, whereas in the joint meetings they discussed occasional ambiguities as well as issues that were most challenging for them and their students. The results showed that there was a significant improvement of the students’ results in the post-test of the mathematical word problems. The analysis of teachers' reflections highlights the benefits of collaboration within the PAR project, both for students and teachers. The study suggests that the PAR model can be used effectively within school settings as a research model, and as a pedagogical practice.

This study investigated the influences of social constructivist approaches on history teachers' opinions of social science education. The purpose of the study was to examine the effectiveness of social constructivist approaches and explore the views and practices of teachers in their current use of teaching approaches in social science education. For this study, a qualitative study approach was employed. The study was conducted at intermediate secondary schools in the city of Erbil. For open semi-structured interviews, eight teachers of social science education were purposely selected from eight intermediate secondary schools of grade ninth, and eight social science classes were observed. The results revealed that despite significant changes of the system of education, many challenges were identified in implementing social constructivist approaches in social science education such as the environment of fear, the shortage of proper public infrastructure, lack of care, and resources. Also, the study revealed several barriers like absence of sufficient well-designed teaching guidelines, lack of adequate clear instructions, inadequacy classroom teachers' autonomy, and no freedom. Lastly, the study ends up by specifying several conclusions.

Citizenship education has been recognised as a desirable attribute of students both by the educational system and Sultan Qaboos University in Oman. The aims of citizenship education will be difficult to achieve unless teacher educators incorporate citizenship education as a main outcome of their courses. Yet, that mainly depends on their understanding of the meaning of citizenship and what the component is that they ought to develop. The current article aims to analyse the perceptions of teacher educators about citizenship and their related teaching practices. Study adopted a qualitative method to collect the data by interviewing five teacher educators from college of education, Sultan Qaboos University. The findings showed that those educators associated citizenship with patriotism and a personally responsible vision of citizenship. In addition, they reported limited practices pertinent to citizenship education and clearly expressed their need for professional development in citizenship education.  

This research explores how and what strategy is applied for preparing sustainable English teachers' professional development. This study utilizes lesson study strategy-based clinical supervision and quality assurance. Lesson study is a kind of action research based on a cycle base. This study is also recognized as research and development. Based on conceptual and empirical study, it is found that three grand principles of adding quality lesson study implication. Those are cycle reflection in accelerating the teachers’ competencies in English language teaching, clinical supervision nuance, a quality assurance principle by implementing the plan, do, check, and act strategy. This research successfully finds a model for preparing a prospective and sustainable professional teachers development based on lesson study, blended with the clinical supervision and a quality assurance implementation. The outputs consist of connection among professional English teachers; accelerating realization learning and teaching quality based on reflection implication; forming the open attitude and reflecting discussion and depth analysis; building a self-responsibility and awareness as professional teacher attitude; helping one each other in the professional teacher community for accelerating teaching quality by utilizing clinical supervision. Finally, the outcome is obtaining candidates of English professional teachers, prospectively and sustainably, with high-quality EFL teaching performance in national competitiveness.

While previous studies on assessments focused on measurement of principles and constructs, existing attention is given to content validation involving vocational education and skills. The emphasis on content validation has prompted a holistic perspective of teaching and learning to demand alternative research approaches. Using evidence of content validity based on expert judgment and assessment items, this paper argues that vocational knowledge and skills could be determined via constructs and construct functions. Content validity analysis was studied in two major phases, namely, through an assessment of an electrical technology course at a Malaysian higher education institution and expert panels’ examination of items. It was found that to increase confidence in providing reliable instruments for future empirical studies, a careful process in item development and content validity analysis was considered important. Therefore, applying these findings on item analysis and expert panels to reflect content validity can enhance the validity of assessment items.

Science, technology, engineering and mathematics (STEM) education is regarded as one of the formulas to embracing many of our imminent challenges. STEM education benefits the learners by encouraging interest in STEM disciplines. This daunting task needs everyone’s concerted efforts in creating and innovating mathematics teachers’ classroom practices Therefore, a systematic review was conducted to identify best practices for STEM education following the guidelines of the Preferred Reporting Items for Systematic Review and Meta-Analyses (PRISMA) by Moher et al. (2015). The reviewed articles were published from 2016 to 2020 and accessed using the Scopus and Web of Science (WoS) databases. Three themes for best practices were identified namely (a) core competencies encompassing 21st-century teaching skills; (b) instructional designs; and (c) requisite STEM execution. Results of PRISMA determined the dominant STEM practices were critical thinking, communication, collaboration, problem-solving, research-based pedagogy, problem-based learning and project-based learning, technological integration, accessibility, professional development and learning support, evidence of effectiveness, access to materials and practitioner support, and scalability. Mathematics teachers should determine the best STEM practices to employ even though there is a lack of studies on integrated STEM domains. When more students are interested in venturing and exploring into the field of STEM, the high demand for STEM related careers could be met by the younger generation.

The present study aimed to investigate the relationship between students’ academic motivation, implicit beliefs about intelligence and learning strategies among undergraduate healthcare students. First-year students of healthcare degree courses from a university in Southern Italy were surveyed. The study measured psychological constructs by means of Academic Motivation Scale, Motivated Strategies for Learning Questionnaire, and Dweck’s implicit questions about beliefs of intelligence. Two regression models were computed to assess the association between students’ beliefs about intelligence, motivations for studying, and learning strategies. In the first regression model, predicting students’ use of cognitive strategies from implicit intelligence beliefs and motivations for studying, stronger autonomous motivations were significant predictors of cognitive strategies. The second regression model, predicting students’ use of metacognitive strategies from implicit intelligence beliefs and motivations for studying, was not significant. These findings can be useful to plan tailored educational interventions to promote students’ motivation, incremental beliefs about intelligence and their use of learning strategies positively related with academic performance.

The quality of the educational process within the humanistic concept and holistic-developmental approach is interpreted as the optimal adaptation to the individual needs and abilities of children, while inclusiveness presupposes equal inclusion and participation of all children. This article explores the opinions of teachers as bearers of pedagogical-educational process. The aim of this research was to determine how much importance teachers attach to certain dimensions of the educational process, and the procedures of inclusive practice. Empirical research included teachers in 5 preschool institutions (N=146). The research instrument was constructed based on relevant literature. Teachers in this sample recognize the importance: of individualized support to all children; of respecting the diversity; of collaboration with parents, and personal professional development. At the same time, the level of formal education and in-service teacher training is positively correlated with the assessment of importance towards child-oriented practice, and respect for diversity. Teachers with a higher level of education significantly value the importance of additional vocational training in the field of developmental and social risks, the use of community resources, and involvement of parents in planning individual support for children.

Assessment is a topic that continues to be developed in science education research. Assessment evaluates not only students' cognitive abilities but also their thinking skills. Therefore, in this study, an assessment that could measure students' chemical literacy was developed. Chemical literacy is a thinking skill that students must develop as part of their chemistry learning. The goal of this study was to assess item' quality, as well as student’ chemical literacy on the concept of chemical rate. The Rasch model was employed to analyze the data in this study. The results of this study depict that the developed assessment had sufficient reliability and validity to be used to assess students' chemical literacy. Furthermore, the analysis of the students’ responses to the items revealed that many students did not understand or were unaware of the context presented. These findings suggest that students' chemical literacy in the material for the reaction rate is still lacking and needs to be improved. As a result, the teacher's role in assisting students in improving their chemical literacy through chemistry learning is critical.

The research aims to develop an instructional tool based on Discovery Learning (DL) combined with a Metacognitive Knowledge Strategy (MKS) to enhance students’ Critical Thinking Skills (CTSs). In doing so, the study employed a Research and Development (R&D) method to develop such a tool. The developed instructional tool was tested for its validity by experts and practitioners’ evaluation. Further, the empirical data were collected from the results of implementation in learning and the student's responses, while the data of tools effectiveness were acquired from the critical thinking tests given to students (analyzed by related t-test). The developed instructional tools were implemented in a limited-scale trial of 32 students and a large-scale trial of 59 students. The results show that: firstly, the DL and MKS-integrated instructional tools are stated as valid in terms of the lesson plan, student worksheet, and critical thinking test. Secondly, the practicality criteria have been successfully met; the learning implementation, students’ activity, and students' responses were regarded as in accordance with the feasibility standard. Thirdly, the instructional tool was deemed effective in enhancing students’ CTSs (p = 0.05).

Understanding phylogenetic trees representing evolutionary relationships of living organisms is essential in school biology. Traditional instructions based on lectures and textbooks with pictorial presentations have been proven ineffective to promote students’ understanding of the concept. This study, therefore, developed a game-based learning activity called the VERT card game to enhance students’ learning of the phylogenetic taxonomy of chordates. The VERT card game was designed to lay the foundation for different characteristics of chordate classes, as well as to allow students to construct and interpret their evolutionary relationships based on the phylogenetic tree. The effectiveness of the VERT card game was verified by a pre-test and post-test design with 109 middle school students in Thailand. The statistical result revealed that students’ mean scores increased significantly in the post-test, compared to the pre-test, indicating their improved understanding. In addition, after participating in the learning activity, the student participants were found to increase their self-efficacy to learn evolutionary biology statistically. Also, it showed positive views towards the usefulness of the developed card game as a large number of them expressed that they would like to use it for their lesson reviews and wished to have this form of learning activity in other topics in biology.

Within the context of Self-Regulated Learning (SRL), a process of directing oneself to facilitate individual learning more effectively, the SRL instrument development is deemed necessary to measure students’ self-reliance in learning mathematics in the science, technology, engineering, and mathematics (STEM) framework. The research aims to develop and test the validity and reliability of an SRL instrument, namely a 14-item SRL questionnaire accommodating four aspects, namely planning, self-monitoring, self-controlling, and evaluation. The study involved 420 junior high school students in East Java, Central Java, and Yogyakarta Special Region. The results show that the questionnaire was developed as planned and that planning, monitoring, controlling, and evaluating aspects can reflect the SRL variable in a valid, reliable, and significant way supported by each aspect's behavior indicator. The SRL variable theoretical model corresponds (good fit) with the empirical data, and all of the items are likely valid and reliable to assess student's mathematics SRL in the STEM framework. The SRL questionnaire was also found suitable for use by teachers to measure junior high school students’ self-reliance in SRL.

The cooperative learning (CL) is an advanced instructional approach that uses different motivational procedures to make instruction significant and learners more responsible. This study aimed to investigate the effects of cooperative learning on students' achievement in chemistry among the advanced level in 12-year basic education schools; it engaged a quasi-experimental design with one treatment group and a comparison group (control); the first applied cooperative learning in teaching organic chemistry while in the control group, organic chemistry was taught by the conventional teaching methods (CTM). A sample of 257 students participated in the study. The data collected used an organic Chemistry Achievement Test, and its data were analyzed using SPSS version 23.0 and MS Excel 2016. The ANCOVA results showed that learners taught using cooperative learning achieved better than their counterparts in the control group (F=78.07, df=1, 256, p<.001) with the learning gains of 16.0% in traditional methods and 53.6% of cooperative learning approach, respectively. However, there was no statistically significant difference in gender of students. It is recommended that chemistry teachers be trained on cooperative learning and encouraged to apply it in their teaching methods to enhance students' academic achievement.

This research presents an analysis of the value given to the game as an educational resource on social networks. The purpose of this study is to analyze the discourse on Twitter of the different educational agents (teachers and other educational professionals) to know the value given to the use of this tool and how the social network is an educational form of communication and interaction. From a qualitative methodology, a descriptive-interpretative study of the information on didactic/play strategies present in social networks is approached. The analysis is performed by the Nvivo12 software through matrices and content analysis. The results show that the game is mentioned within the speech on Twitter where it is alluded to its importance, value, application, etc. From an educational perspective, working in the classroom with the use of social networks provides some significant advantages; these networks offer interactive and effective teaching and learning tools. In addition, the integration of tools and applications. It is concluded that Twitter is an educational and formative way and where the value attributed to the game as a didactic resource is significant.

Measuring accounting teachers’ professional identity is significant to do as an alternative to measure the professionalism of accounting teachers in Indonesia based on their professional identity. This research was conducted in two stages of exploratory factor analysis involving 150 accounting teachers as sample in each stage. The data were collected in collaboration with an accounting teacher organization, comprising the Accounting Subject Teacher Deliberation (MGMP) in Central Java through a questionnaire. Data analysis was divided into several steps including face validity and content validity, inter-item correlation matrix, and exploratory factor analysis. The results showed that 23 question items encompassed five components of accounting teacher professional identity; Cultural Knowledge (pedagogical cultural identity), Blending (accommodating students' purposes for school in the learning objectives), Identity Experiencing (by the experience of working life in the past, present, and individual expectations in the future in accounting work setting), Inter-Personal Skill, and Active in Professional Communities. The scale development requires continuous development tailing various new findings in the teacher professional identity and accountant professional identity.

We investigate students’ misconceptions in electrostatics, direct current (DC) and magnetism which are important in electricity and magnetism. We developed and administered a multiple-choice questionnaire test to reveal students’ misconceptions related to charged bodies, lightning, electric fields, electric potential, forces, DC resistive electric circuits and magnets. This test aimed at obtaining quantitative information about misconceptions and was administered to 380 senior two students from Nine Year Basic Education (9YBE) Schools. The selected students have some experience with the new Rwandan secondary physics Competence Based Curriculum (CBC) that is currently under implementation. We find that senior two students have several common misconceptions related to these concepts. The data indicate that although students have some backgrounds on the subject matter, they still seem to believe that if the two charges are separated by a distance, a large-charged object exerts a greater force of attraction or repulsion on the small one. Considerable number of participated students held the misconception of considering current consumption in the resistor/bulb or the electrical devices in the circuits. They also believed that the battery was a continuous current source. The findings also revealed that students held a misconception that a bar magnet when broken into pieces, it is demagnetized. Moreover, a considerable number of participants hold the misconception that all metals are attracted by a magnet. Our study also revealed some of the statistically significant differences in terms of either gender or location of schools for some items.