This study addresses the effectiveness of learning via educational software. Recent decades have seen the integration of technologies, which are changing teaching and transforming teachers into mediating, facilitating, and guiding figures by means of digital learning methods that serve as a major tool in schools, colleges, and universities. The current study focuses on instruction provided within the Israeli Air Force and examined the effectiveness of instruction provided via educational software in terms of learning products: Bloom’s revised taxonomy, Te’eni’s affective-cognitive model of organizational communication and the STEM model. We randomly divided the learners into three groups who studied the same topic: one group studied with the educational software only, the second with the educational software together with an instructor, and the third with an instructor who used a presentation. The learners took a test and four months later they took another test to examine the effectiveness of the instruction over time. The research results show that the recall levels and performance levels on the tests were almost identical in all groups, but in the categories of understanding and applying the addition of an instructor strongly contributed to achievements: Those who received instruction via educational software achieved the best results in the understanding category, while those who studied with an instructor who used a presentation achieved the best results on the test with regard to application of the studied material. The findings of this study can illuminate the effectiveness of using educational software in learning processes in all educational systems.

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.

Many problems in real life are full of uncertainty. Probabilistic thinking is one way to solve this uncertainty problem. The personality abilities that are interesting to examine include how independent the students are in facing probabilistic solutions. For this reason, it is necessary to study the probabilistic thinking profile of prospective mathematics teachers in solving probabilistic problems in terms of learning the self-regulation. The research method used in this research is qualitative research. In this study, the researcher conducted an analysis of students' probabilistic thinking with the scope of the probability material related to the sample space, the probability of events, and the probability of the random variable space. The profile of the level of probabilistic thinking is influenced by cognitive factors in the form of probabilistic knowledge obtained by students and personality in the form of self-regulated learning. Student learning self-regulated influences the mental activity in decision making. By studying the profile of probabilistic thinking, students are better prepare to face uncertainty with various aspects that influence it.

This study aimed to investigate the mediation role of coping with stress between psychological capital and teacher well-being based on positive psychology, conservation resource, and broaden-and-build theories. Participants in this study were 836 teachers from three clustered, ethnically diverse public universities. Our findings showed that, in line with previous studies, the psychological capital (PsyCap), coping with stress (CWS), and teacher well-being (TWB) dimensions showed the best fit in our data. PsyCap was related positively to TWB (total and dimensions), CWS, coping through withdrawal, and negative coping with acceptance and change. The indirect effect of PsyCap on TWB through coping with stress was fully mediated. PsyCap also positively and directly affected TWB and CWS. Coping through acceptance and change were fully mediated by PsyCap and TWB dimensions, while coping through withdrawal was not. PsyCap directly and positively affected coping with stress (acceptance and change) and negatively affected coping through withdrawal. Future theoretical and practical implications are discussed.

Creative thinking is the highest level of the kind of high order thinking. In observations at the schools in Indonesia, teachers overly equate all levels of achievement of students' creative thinking to obtain higher order thinking skill improvements in mathematics learning. This condition results in an imbalance in learning practices. Therefore, this research fills the gap of this imbalance by describing the student’s creative thinking profile as a high order thinking skill in the improvement of mathematics learning. These results can contribute knowledge to educators to manage teaching strategies that can improve mathematics learning which refers to high order thinking skill for all levels of their creative thinking. This research is qualitative descriptive research. The subject were junior high school students in Malang, Indonesia. Data collection methods are tests, observations, and interviews. Data analysis is conducted by reducing data, present data, and conclusions. These research results are descriptions of student’s creative thinking profiles as a high order thinking in mathematics learning improvement, namely students have problems planning problem solving; students take a break to make plans; identify the essence of the problem, provide original ideas, provide alternative problem-solving plans, combine previous ideas with problem questions; operate and implement their plans by creating various original solutions.

The primary purpose of this research was to determine the effect of principal instructional leadership behavior on several determinants: organizational commitment, efficacy, and teacher satisfaction through school health. Five instruments that had been used are the principal instructional management rating scale (PIMRS); organizational health inventory for elementary schools (OHI-E); online course questionnaire (OCQ); teacher satisfaction scale (TSS); teacher efficacy scale (TES). All of these instruments had high validity and reliability; with Cronbach’s alpha values of each was PIMRS (.83), OHI-E (.81), OCQ (.80), TSS (.86), and TES (.79). A total of 350 public primary school teachers in Surakarta had been selected as respondents in this study with satisfied random sampling. AMOS software version 6.0 is used to analyze CFA and SEM. The results of SEM analysis to the structural model built by the researcher was good, with Probability = .001; RMSEA = .043; GFI = .941; AGFI = .907; CMIN/DF = 1.522), so the relationship between the variables in the constructs was interpreted; (1) The Principal instructional leadership behavior had a significant direct influence on the school health, (2) The school health parameter had a significant direct influence on organizational commitment, efficacy, and teacher satisfaction, (3) The principal instructional leadership behavior did not have a significant direct effect on organizational commitment, efficacy, and teacher satisfaction through the variables and school health.

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.

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.

Student satisfaction with education service has been considered one of the most critical strategic factors to attract students of higher education institutions around the world. Various models of satisfaction with education service quality have been developed to motivate actions towards improving the education quality. This study aimed to confirm a Vietnamese theoretical five-dimension model of student satisfaction with higher education service and investigate the relationship between student satisfaction with education service quality and student satisfaction with educational outcomes in this model. A cross-sectional survey on 2933 students from four-member universities of Hue University in Central Vietnam was conducted. The research results showed that the model of student satisfaction with education service in Hue University was consistent with the proposed theoretical model, which comprises five dimensions including access to education service, facilities and teaching equipment, educational environment, educational activities, and educational outcomes. In addition, the satisfaction of all dimensions of education service quality from dimension 1 to 4 affects the satisfaction of educational outcomes, of which educational activities have the most significant impact. This research result can provide a number of implications and recommendations for Hue University to implement appropriate measures to improve student satisfaction with education services received, thereby enhancing educational outcomes, attracting and retaining students.

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.

This article presents the findings of an action research study that evaluated the effectiveness of differentiated instruction in the subject of Information and Communications Technology (ICT) in primary education in Greek primary schools. Effective teaching poses a challenge to all educators in all educational levels. The subject of ICT poses multiple challenges to educators due to its applied nature, the limited allocated time and the diverse needs of the students. A differentiated teaching intervention was designed and applied from January to March 2020 to 113 upper elementary students from two elementary schools in Athens. The findings of the research highlight the improvement of the quality of the students’ assessment and the level of students’ active participation due to differentiated instruction. Furthermore, the strategy of flexible grouping, the technique of “thumb it up” cards and the applied differentiated working routine proved to be highly effective. Lastly, the implementation of asynchronous working combined with hierarchical learning activities proved to be challenging to the educator due to its complexity. Based on these findings, the article discusses the importance of further research in the systematic implementation of differentiated instruction in mixed ability classrooms and in multiple subjects.

The equal symbol has been used in diverse mathematical frameworks, such as arithmetic, algebra, trigonometry, set theory, and so on. In mathematical terms, the equal sign has been used in fixed command of standings. The study reports on the students meaning and interpretations of the equal sign. The study involved Grade 6, 7, and 8 students in a secondary school in Alain, United Arab Emirates (UAE). Much of the earlier research done on the equal sign has focused on the primary school level, but this one focuses on middle school students. The study shows that the maximum foremost understanding of the equal sign amongst Grade 6, 7, and 8 students is a do-something, unidirectional symbol. Students realize the equal sign as an instrument for marking the response moderately than as an interpersonal symbol to associate extents.

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.

Problem-solving is considered one of the thinking skills that must be possessed in 21^st-century education because problem-solving skills are required to solve all problems that arise. The problem-solving stages that can be used are Polya's four steps, namely, understanding the problem, devising a plan, carrying out the plan, and looking back. Problem-solving skills are essential for solving word problems. Word problems based on arithmetic operations are divided into three types: one-step, two-step, and multistep. This qualitative research aimed to see problem-solving skills viewed from the type of word questions and elementary school students’ third, fourth, and fifth grades. A purposive sampling technique with 22 third-grade students, 28 fourth-grade students, and 21 fifth-grade students was used. The data were collected using documentation, testing, and interview methods. The findings of the study showed that fourth-grade students’ problem-solving skills are better than those of third-grade students, and the problem-solving skills of fifth-grade students are better than those of fourth-grade students. The percentage of Polya's steps always decreases because not all students master problem-solving. Based on the types of questions, the percentage of the one-step word problem is better than that of the two-step while the percentage of the two-step word problems is higher than that of the multistep.

During the Coronavirus disease (COVID-19) pandemic, universities were obligated to transform from traditional classroom teaching environments to virtual ones. This sudden transformation highlighted the issue of low e-learning system usage amongst instructors of humanity faculties in Jordan's public universities. This study empirically investigated the moderating impact of technology anxiety on the relationship between the instructor's self-efficacy and the e-learning system's actual use to contribute to solving the problem. A survey was distributed to 468 instructors to test the theoretical framework, which yielded 285 valid and complete instruments analyzed using Structural Equation Modeling (SEM). Results showed the positive direct effect of self-efficacy on actual use. Furthermore, the level of technology anxiety moderated the relationship. Instructors with low technology anxiety showed a higher level of e-learning system actual usage than those with a high anxiety level. To improve the use of e-learning systems, top management must understand the fundamental role of compulsory training as the Covid-19 pandemic, and the instructor's confidence must be increased by providing training and support.

The initial period of young teachers' careers is always significant in developing their professional capability. This is when teachers start coming into contact with practical teaching, which is more diversified than the theoretical training at the University. In this research, the authors propose a process of combining the Lesson Study model with the micro-lesson teaching method. This process helps young teachers, especially those working in the Northern of Vietnam, improve their planning and implementation of a lesson plan following the Lesson Study model. It has four steps: (1). Plan a Lesson Study; (2). Organize demo teaching and attend lessons; (3): Self-evaluate and discuss lessons; (4): Apply for practical teaching. The methodology research is carried out on 62 young teachers in Vietnam to measure the pre-impact and post-impact results. The results reveal that the researched group has made significant progress on their teaching performances (the average points for their capability of planning lessons have increased from 2.54 to 3.28 and the average points for their capability of implementing lesson plans have increased from 2.48 to 3.18). This development can be considered as an excellent experience to bring the Lesson Study model into Vietnamese schools to improve teaching sustainably.

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).

Spatial thinking has roles to facilitate learners to remember, understand, reason, and communicate objects and the connections among objects that are represented in space. This research aims to analyze the spatial thinking process of students in constructing new knowledge seen from the field-independent cognitive style learners based on Action-Process-Object-Schema (APOS) theory. APOS theory is used to explore spatial thinking processes which consist of mental structures of action, process, object, and schema. This research is qualitative research with an exploratory method. It provided the students' opportunity to solve problems alternately until the method found the most appropriate subjects for the research objectives. The subjects were 2 students of Mathematics Education in the fourth semester of Universitas Muria Kudus Indonesia. The data collection techniques were started by distributing the validated and reliable spatial thinking questions, the cognitive style question, and the interview. The applied data analysis consisted of data reduction, presentation, and conclusion. The findings showed (1) spatial thinking process of holistic-external representation typed learners were indicated by the representative thinking element, abstract-illustrative figure expression to communicate and complete the tasks correctly, (2) spatial thinking process of the holistic-internal representation typed learners were indicated by the representative means, having ideas, connecting with the previous knowledge in the forms of symbols and numbers, and finding the final results correctly although incomplete.

Several concerted movements toward mathematical modeling have been seen in the last decade, reflecting the growing global relationship between the role of mathematics in the context of modern science, technology and real life. The literature has mainly covered the theoretical basis of research questions in mathematical modeling and the use of effective research methods in the studies. Driven by the Realistic Mathematics Education (RME) theory and empirical evidence on metacognition and modeling competency, this research aimed at exploring the interrelationships between metacognition and mathematical modeling and academic year level as a moderator via the SEM approach. This study involved 538 students as participants. From this sample, 133 students (24.7%) were from the first academic year, 223 (41.4%) were from the second and 182 (33.8%) were from the third. A correlational research design was employed to answer the research question. Cluster random sampling was used to gather the sample. We employed structural equation modeling (SEM) to test the hypothesized moderation employing IBM SPSS Amos version 18. Our findings confirmed the direct correlation between metacognition and mathematical modeling was statistically significant. Academic year level as a partial moderator significantly moderates the interrelationships between the metacognitive strategies and mathematical modeling competency. The effect of metacognition on mathematical modeling competency was more pronounced in the year two group compared to the year one and three groups.