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.

The discussion about the loss of nationalism values in the Indonesian migrant workers’ (IMW’s) children in border areas, has become an important issue in the world of Indonesian education. The purpose of this study is to describe the role of Community Learning Center (CLC) in fostering nationalism values in IMW’s children, as well as to reveal the teaching experience and meaning of nationalism from the perspective of teachers at CLC Sarawak, Malaysia. The research uses qualitative method with case study approach that focuses on factors that can foster nationalism of IMW’s children. Data collection obtained through observation techniques, in-depth interviews, and documentation. The results showed meaningful findings according to the conditions in the education system in CLC, as well as socio-cultural conditions that affect every activity in the border area. The first finding indicates that CLC has an important (central) role in fostering the nationalism of IMW’s children in border areas. The second finding shows the fact that teachers are still experiencing some problems in the field, such as; limited access to information and communication, teacher education background, school conditions, limited educational units, learning facilities, and family and social environments. The third finding emphasizes the importance of nationalism for teachers who devote themselves to teaching in border areas, because teachers have a crucial role in transferring knowledge, providing meaningful learning experiences, and fostering the nationalism of IMW’s children.

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.

The primary goal of this study is to explore what makes teachers accept Google Classroom (GCR). GCR platform is an emerging technology that could support online learning activities by offering outstanding benefits such as usability, flexibility, and task adaptability. Many of the students in Indonesia have al-ready used the GCR platform since the government has tried to provide it as a free online learning tool to support learning activities during the pandemic. However, there is limited understanding of users' behavior, especially Indonesian students' acceptance of the GCR platform. The model is tested by administering the online questionnaire to 261 university students in Indonesia. The extended Unified Theory of Acceptance and Use of Technology Model (UTAUT) model has been applied to observe users’ acceptance of GCR. The result Performance expectancy (PE), Effort expectancy (EE) Social Influence (SI), Facilitating Conditions (FC), Trust of Internet (TI) and Trust of Government (TG) considerably affected users’ intention to use the GCR. Moreover, Trust of Internet (TI) and Trust of Government (TG) also knowingly impacted Performance expectancy (PE).

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.

Teacher professional development (TPD) is an important component of enhancing student learning and school education quality. Vietnamese Ministry of Education and Training is reforming education, including curricula, teaching methods, and textbooks. Many requirements have to been done to effectively implement the reform, and TPD is considered a significant contribution. Using data from an in-depth interview with the principal, teacher questionnaires, and school policy-related documents, this qualitative case-study research in a selected high school for gifted students in Central Vietnam aimed to find out how TPD had been implemented in response to education reforms in Vietnamese high schools. TPD was widely perceived and respected by the principal and teachers in this case study, and these positive perspectives were transferred into practice with numerous effectively employed TPD strategies at this high school for students’ enhanced learning and achievements.

Numeracy is one of the essential competencies that the objectives of teaching math to primary students should be towards. However, many research findings show that the problem of “innumeracy” frequently exists at primary schools. That means children still do not feel at home in the world of numbers and operations. Therefore, the paper aims to apply the realistic mathematics education (RME) approach to tackling the problem of innumeracy, in the case of teaching the multiplication of two natural numbers to primary students. We conducted a pedagogical experiment with 46 grade 2 students who have not studied the multiplication yet. The pedagogical experiment lasted in six lessons, included seven activities and nine worksheets which are designed according to fundamental principles of RME by researchers. This is mainly a qualitative study. Based on data obtained from classroom observations and students’ response on worksheets, under the perspective of RME, the article pointed out how mathematization processes took place throughout students' activities, their attitudes towards math learning, and their learning outcomes. The study results found that students were more interested in math learning and understood the concepts of multiplication of two natural numbers.

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.

This study aims to develop a mathematics learning application, namely Android-based mobile learning to increase students' High Order Thinking Skills (HOTs). The result of mathematics learning media is a valid and practical mobile learning application product. "Mastering Math" is the name of a mathematics e-learning application designed as a mobile or smartphone application, with specifications for the OS Android. The procedure for the development of virtual mathematical media used the development of the 4D model of Thiagarajan: (1) define; (2) design; (3) develop, and (4) disseminate. The trials conducted included five expert judgments and a small group. The research instruments used were a validation sheet, a practical assessment sheet by the teacher, a practical assessment sheet by students, and a media effectiveness test instrument. Data analysis was performed using Cochran's Q test for similarity of expert validation and qualitative analysis. The teaching materials used are junior high school teaching materials with validity and practicality in the good category to increase students' HOTs. This research implies that the learning of mathematics is more effective and efficient, students' divergent thinking develops, and their learning motivation for mathematics increases.

This study was conducted to corroborate in understanding the teachers’ beliefs about assessment practices. The prior studies related to teachers’ assessment beliefs in mathematics have been done to assess teachers’ beliefs in the general context of mathematics teaching. This study developed an instrument to assess teachers’ assessment beliefs of mathematical thinking. The research aimed to develop and validate a scale of assessment beliefs of mathematical thinking by using the confirmatory factor analysis. The first draft of the scale contained 25 items. The sample of the study consisted of 537 mathematics teachers from public schools in Oman. The instrument was a questionnaire with a 5-point Likert scale. The scale was validated by asking a number of experts in mathematics educational measurement and evaluation. Exploratory and confirmatory factor analysis was applied to test the model of assessment beliefs of mathematical thinking scale using AMOS 25.0. All constructs had acceptable reliability. The model had a good model fit for the assessment beliefs of mathematical thinking scale which obtainable from the fit indices tests. The findings revealed that all fit criteria indices were realized. The results also showed acceptable validity and construct reliability for the scale.

Despite the ubiquity of professional learning communities (PLCs) among researchers, studies on PLCs have widely differed in terms of dimensions used to conceptualise them. Thus, the study aimed to validate the conceptual model consisting of PLCs practices. The study employed a quantitative method using a survey. Firstly, a pilot test was conducted in which 103 school-teachers were involved in completing a questionnaire. The Exploratory Factor Analysis (EFA) had determined six dimensions and 20 elements of PLCs practices. Then, the field study was conducted using the new questionnaire. The survey involved 386 school-teachers from 25 High Performing Schools (HPS). The result revealed that: I) Based on the Confirmatory Factor Analysis (CFA), multidimensional PLCs practice model is evidence in the Malaysian context. They are operationalised in six dimensions including visions, missions and values, professional leadership, collective and collaborative culture, sharing of best practices, conducive school climate, and strategic alliances among stakeholders and, ii) The level of PLCs implementation in HPS is high for all the dimensions. The practical implications from the study and future research recommendations were also discussed.

Realistic Mathematics Education (RME) has gained popularity worldwide to teach mathematics using real-world problems. This study investigates the effectiveness of elliptic topics taught to 10th graders in a Vietnamese high school and students' attitudes toward learning. The RME model was used to guide 45 students in an experimental class, while the conventional model was applied to instruct 42 students in the control class. Data collection methods included observation, pre-test, post-test, and a student opinion survey. The experimental results confirm the test results, and the experimental class's learning outcomes were significantly higher than that of the control class's students. Besides, student participation in learning activities and attitudes toward learning were significantly higher in the RME model class than in the control class. Students will construct their mathematical knowledge based on real-life situations. The organization of teaching according to RME is not only a new method of teaching but innovation in thinking about teaching mathematics.

Foreign language teaching in the Slovenian educational context begins in the first grade (age 6). Many studies report a lack of qualified teachers at this stage of learning around the world and numerous authors emphasise the misconception that basic linguistic and didactic knowledge of teachers is sufficient for teaching children. All three Slovenian public universities are aware of this problem and offer pre-service and in-service programmes for (student) teachers who want to specialise in teaching English to young learners. In the present article, we focus on the subject-specific teacher competences for teaching English in the first three years of primary education; namely, linguistic, subject didactic and intercultural competences. We explore teachers’ self-assessment of these competences and their perception of certain elements pertaining to them. The study seeks to answer the following research questions: (1) What subject-specific competences do teachers consider essential for teaching English in the first cycle of primary education? (2) To what extent do teachers believe they have developed certain subject-specific competences? (3) What are teachers’ attitudes toward certain subject-specific competences that the teacher needs for teaching English in the first cycle of primary education? The results of the quantitative survey, in which 100 teachers participated, show that teachers perceive their subject didactic competence to be the most developed and their intercultural competence to be the least developed. Moreover, they consider that a basic level of English is not sufficient for teaching English in the first grades.

In this article we present research on Slovenian primary school teachers' opinion about the interdisciplinary approach between fine art and science education. With the help of questionnaires, interviews, and analysis of lesson plans, we determined how primary school teachers use this type of interdisciplinary approach, how often and what their views are. We included 138 primary school teachers from every region in Slovenia. It turned out that primary school teachers in Slovenia use an interdisciplinary approach between fine art and science teaching quite often and consider it useful to achieve different aspects of pupils' development. The study revealed that most teachers find it difficult to consider the educational goals of both fields (fine art, science). They often use the connection between the subjects only on an associative level - they only mention the teaching content of one subject quickly and carelessly, without making meaningful connections and without achieving the goals of both subjects. Content taught in this way cannot be considered a cross-curricular approach in the subject sense.

This research aimed to develop a historical thinking assessment for students' skills in analyzing the causality of historical events. The development process of Gall and colleagues and Rasch analysis models were used to develop an assessment instrument consisting of two processes, including the analysis of the framework of cause and consequence, the validity, reliability, and difficultness test. This research involved 150 senior high school students, with data collected using the validation sheet, tests, and scoring rubric. The results were in the form of an essay test consisting of six indicators of analyzing cause and consequence. The instruments were valid, reliable, and suitable for assessing students’ skills in analyzing the causality of historical events. The developed instruments were paired with a historical thinking skills assessment to improve the accuracy of the information about students' level of historical thinking skills in the learning history.

This study aims to explore non-English speaking major student’s perceptions of Motivation and Grit and the relationship between these two factors and students’ English language performance at a public university in China. The research was conducted by quantitative research design to collect 624 non-English speaking Major students’ answers to multiple questionnaires at a public university in China. Data analysis is used by SPSS and AMOS. The study shows that Motivation and Grit all have a positive correlation with English language performance. One major conclusion of this study is Grit has the most significant effect on the English language performance of non-English speaking major students in multiple regression analysis and is also the best predictor of the relationship between these two factors and English language performance in the path analysis in Structure Equation Modeling (SEM) analysis. The finding also revealed that male students’ perception of motivation and grit is slightly stronger than that of female students. These findings highlight the need for English as a foreign language (EFL) teacher to understand students’ affective factors in learning English, and hence help them utilize different teaching methods to enhance students’ English learning and promote sustainable development of English learning in a public Chinese university.

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