Environmental learning in the 21st century must be contextual and require the ability of Higher Order Thinking Skills (HOTS) to solve environmental problems such as green consumerism. The purpose of this study was to implement an Android-based Supplementary Book of Green Consumerism (SBGC) to improve students' HOTS abilities in environmental learning. The method used experiment with a sample of 144 students in 8th grade of Junior High School. Students divided into 72 students in control classes and 72 students in experimental classes. The treatment given was in the form of using SBGC in the experimental classes. The results showed that the students HOTS score increased significantly in the pre-post test in the experimental class or when compared to the control class. Increased in the experimental classes from a score 15.7 (very low) to 32.73 (low). Meanwhile, when compared between the experimental classes with a score 32.73 (low) and control classes with a score 25.25 (very low). This showed that SBGC is easy to understand. SBGC is also interesting so that makes students become active in learning. The conclusion of this study was that SBGC can increased students' HOTS in environmental learning.

This research study presents the PGBE model for teaching and learning percentages with students of Grade 7 when their cognitive development enables the conceptual understanding of percentages as proportional statements, and offers the possibility for more effective matching of them with fractions and decimal numbers. The abbreviation PGBE presents the interrelation of the poster method and three instructional models through which different types of students’ mathematical knowledge about percentages can be built. Hence, P stands for the poster method through which the recognition of students’ previous knowledge about percentages can be done, G represents different grids that can be used for building concrete type of knowledge about them; B signifies the bar model for developing students’ proportional understanding of percentages, and E represents the extended bar model for fostering students’ principled-conceptual understanding of percentages. The effectiveness of the implementation of the PGBE model is assessed by organizing two cycles of piloting and conducting the experimental method with 263 students of ten Grade 7 classes. The results of the study show that the implementation of the PGBE model has had an impact on the learning of students, stimulating an in-depth learning and a long lasting knowledge about percentages for this cohort of students.

Mathematics is one of the most challenging subjects for many students. A similar problem is faced by special needs students, such as students with Autism Spectrum Disorder (ASD). Various instructional strategies are implemented by specialists to help ASD students understand mathematics in schools. To explore the impacts of an instructional strategy of mathematics on ASD students, the authors conducted a review of literature from 2011 to 2017 using various databases including ProQuest Digital Dissertations and Theses Full Text, Google Scholar, and Science Direct. A total of 39 articles were found. Most of the instructional strategy aimed to assist ASD students in solving mathematics problems. The implications of the study are also discussed in this literature review, which indicates that teachers need to use the appropriate instructional strategy to meet the needs of students with ASD and maximize their mathematics learning outcomes in schools.

Problem-solving and mathematical communication are essential skills needed by students in learning mathematics. However, empirical evidence reports that students’ skills are less satisfying. Thus, this study aims to improve students’ problem-solving and mathematical communication skills using a Metacognitive-Based Contextual Learning (MBCL) model. A quasi-experimental non-equivalent control group design was used in this study. The participants were 204 fifth-grade students; consisting of experimental (n = 102) and control (n = 102) groups selected using convenience sampling. This study was conducted in four Indonesian elementary schools in the first semester of the academic year 2019/2020. The Problem-Solving Skills Test (PSST) and Mathematical Communication Skills Test (MCST) were used as pre- and post-tests. In order to analyze the data, one-way ANOVA was used at the 0.05 significance level. The results showed that students in the experimental group had higher post-test scores than the control group in terms of problem-solving and mathematical communication skills. It can be concluded that the MBCL effectively promotes fifth-grade students’ problem-solving and mathematical communication skills. Therefore, it is suggested that MBCL should be used more frequently in primary school mathematics to further improve students’ problem-solving and mathematical communication skills.

This exploratory study aims to verify whether the current use of scientific experiments in the Moroccan high-school science curriculum meets students’ needs for experimental scientific learning. For that purpose, a sample chapter of the official science textbook was analysed in detail. The analysis was carried out using a didactic model of the French didactician Coquide, which categorizes teaching objectives into three modes: practical familiarisation, empirical investigation and conceptual construction. Analysis grids were built based on a selection of the three didactical modes’ attributes. These grids were used to identify the presence and the weight of these three didactical modes within the chosen sample chapter. Results reveal that experiments in the high-school scientific curriculum are not presented in a balanced way and rarely implemented according to a didactic logic. The study also shows that the experiments analysed are essentially focused on the conceptual construction mode while neglecting practical familiarisation and empirical investigation.

Learning models that can improve critical thinking, skills collaborate, communicate, and creative thinking are needed in the 21st-century education era. Critical and creative thinking are the two essential competencies of the four skills required in the 21st century. However, both are still difficult to achieve well by students due to a lack of thinking skills during mathematics learning. This study was conducted to determine the model of learning that is appropriate to develop students' critical and creative thinking skills. The study used three-class samples from eighth grade. The first class is given the problem-posing lesson; the second class is given contextual learning and third class as a control class. The results of the study indicate that improving students' critical and creative thinking skills are included in the moderate category for types using contextual learning and problem-posing. Also, it is found that contextual learning is more effective for improving critical thinking skills when compared with learning problem posing and expository learning. Meanwhile, learning problem posing is more useful to enhance creative thinking skills compared with contextual and expository learning.

The current offer of training courses for university teachers is due, among other needs, to the implementation of an educational model based on student learning, promoting the use of active methodologies for their motivation and academic performance. An exploratory-descriptive and ideographic study is presented where the main technique is the analysis of content. To this end, 15 Spanish universities with the greatest prestige were analyzed according to the parameters of the Academic Ranking of World Universities (ARWU) in relation to the topics related to active methodologies and the profile of university teachers. The results show the different teacher training courses that have been carried out during the 2019/2020 academic year. We find that there are more universities that present more training of this type than others, and who this type of training is aimed at: new teachers and teachers with professional experience. The conclusions are related to the importance of the courses for the professional development of university teachers, since they should not be anchored in the same methodology, but should be open to new challenges and always taking into account the students, enhancing their motivation and academic performance.

School system has not proven successful in educating gifted students. Artistically gifted students are a group of students requiring special education approach. The aim of this paper was to explore the extent to which classroom teachers and students as future teachers are able to identify artistically gifted students. The study involved a total of 160 respondents, among which 80 classroom teachers and 80 students at the Faculty of Humanities and Social Sciences, Department of Teacher Education in Split. The results showed statistically significant differences in the identification of artistically gifted students between groups of teachers and groups of students, future teachers. The results showed that there is a statistically significant difference in the assessment of several factors of giftedness of students in the surveyed teachers compared to students of Teacher Education. A statistically significant difference is present in Factor 1 (Art Abilities) where p (0.00) <0.05, and in Factor 3 (Motivation in Artistic Expression) where p (0.00) <0.05 and in Factor 4 (Use of Fine Arts) where p (0.04) <0.05. A statistically significant difference between students and teachers is not present in Factor 2 (Art Interests) where p (0.78)> 0.05. Furthermore, the results showed that teachers and students of Teacher Education share the opinion that gifted students will have a high level of learning, possess a large number of artistic ideas and show interest in figurative and abstract forms of artwork.

Descriptive correlational research was conducted to discover misconceptions on Rate of Reaction (RR) that impact on Chemical Equilibrium (CE) misconceptions. This research was conducted to 245 eleventh-grade students of High School in Gowa, South Sulawesi, Indonesia, that have been studied the RR and CE topics. Misconceptions data were collected using three-tier tests and semi-structured interviews. The data were analyzed using descriptive and correlational analysis. Description of RR misconceptions that impact on CE misconceptions are determined with the percentage of students who consistently experience misconceptions about RR and CE. There were six misconceptions in RR that have an impact on CE, which are: Misconceptions related to changes in the reaction rate with time; The effect of temperature on the rate of reaction; The effect of adding catalysts to the activation energy; and the mathematical affect relating to the rate of reaction and number of moles. Misconceptions in RR and CE have 0.39 correlation coefficient, based on Spearman's formula. These results indicate that the impact of misconception in RR on CE is moderate. This study suggests that education practitioners should eliminate the misconception of prerequisite concepts before teaching the next related concepts.

Cognitive and psychomotor are two aspects that play an important role in children’s development, especially at the pre-school age. This study aims to create and test products in the form of learning methods with song and movement to improve children's cognitive and psychomotor aspects. This research is a research and development using 4D theory from Thiagarajan, Semmel, and Semmel. There are four phases in this research, namely the define phase, product design, product development, and dissemination. Data analysis used in this study was a qualitative and quantitative approach using instruments in the form of questionnaires, product validation sheets, and learning observation sheets. The collected data is then analyzed using two analytical techniques: (1) qualitative data with content analysis techniques and (2) quantitative data analyzed statistically with the help of SPSS. The results showed that this learning method was proven to have a level of validity, practicality, and effectiveness above the standard to improve children’s cognitive and psychomotor aspects.

This research aimed at analyzing the influence of ‘Process Oriented Guided Inquiry Learning’ model assisted by realia media, in which it was to improve the scientific literacy and critical thinking skill of primary school students, especially for the material of energy. This quasi-experiment research used single factor independent groups design. The research sample of this research were fourth grade students of SD Inpres Oeba 2 Kupang City, East Nusa Tenggara Province, of which students were in the academic year of 2019/2020. The technique of sample collection was carried out purposive sampling for 2 classes. The IVA class was used as the experimental class (POGIL model assisted by the realia media), in which it consisted of 30 students and the IVB class was used as the control class (expository learning) that consisted of 28 students. The learning was carried out in four meetings. The data of scientific literacy and the results test of critical thinking were collected by means of objective test on the energy material. Multivariate Analysis of Variance (MANOVA) was used to analyze the data using significance level of 0.05. The results indicate that (1) There is a significant difference between the students’ scientific literacy who gain the POGIL learning assisted by the realia media and the students’ scientific literacy who get the expository learning; and (2) There is a significant difference between the critical thinking of students who get POGIL learning assisted by realia media and the students who get the expository learning. It can be concluded that there is a significant difference between the scientific literacy and the students’ critical thinking taught by the POGIL learning that assisted by realia media to the students who use expository learning. Since there is a significant difference, it means that the POGIL learning assisted by realia media has an influence on the students' scientific literacy and critical thinking.

The aim of this study was to identify and classify the student’s concept image and its influence on the reasoning of the problem-solving of the derivative. The research used a qualitative description approach and used eight research subjects. From the answers collected upon the given problems, we obtained several variations of students’ concept images, thus it showed how students’ concept image influenced the reasoning. In order to clarify and classify the characteristic of the obtained answers, we summarized there were three categories of the concept image of the derivative, namely symbolically related to a basic formula of the derivative of a function, limit of the ratio of difference value of the functions, and the properties of the derivative of the functions. Furthermore, our study suggested that each student’s concept image affecting the reasoning of the derivative. In addition, we found some misperceptions in answering the problem and misconception in the use of the basic formula of the derivative of the functions among the students’ answers.

Challenges arising from the classroom behavioral management of students with social, emotional and behavioral difficulties are a concern for educational professionals. The purpose of this study is to review common elements of behavior interventions for the disruptive behaviors of children with social, emotional and behavioral difficulties. A systematic review was conducted through an electronic search of studies (from 2000 to 2017) on ERIC, Web of Science, FRANCIS, and MEDLINE databases. The inclusion criteria involved: (i) an intervention improving behaviors at school of children with disruptive behaviors; (ii) elementary school children with the majority of the sample or average age between 6-11 years old; (iii) at least one measurable outcome focusing on social/emotional/behavioral outcomes; (iv) single-case designs. Of the 5339 articles that were identified in the initial screening, 27 met the criteria to be included in the review. Common characteristics of successful interventions are discussed to make recommendations for future implementation.

The study aims at investigating basic level schoolteachers' awareness of their students' mathematics learning disability (MLD) in the context of Nepal. It is based on a mixed-method research design in that it combines both qualitative and quantitative approaches as appropriate. Using the stratified random sampling technique, 300 basic level mathematics teachers were selected from 150 basic level (grades 1-8) community and institutional schools representing the three significant ecological regions (the Mountain, the Hill, and the Terai) and demographic variables (gender, place of residence, and school type) from Province 1 of Nepal. A Mathematics Learning Disability Awareness Scale (MLDA-Scale), was developed and used to measure the basic level schoolteachers' awareness of their students' MLD. Besides, a semi-structured interview was conducted with the purposively selected basic level schoolteachers for the qualitative data. The basic level schoolteachers' awareness of MLD factor categories was calculated using descriptive statistics. Similarly, t-tests were conducted to examine the effects of the demographic variables. The qualitative data, however, were analyzed thematically. The results reveal that the majority of the basic level schoolteachers' knowledge toward their students' MLD was inadequate and that the demographic variables had no significant effects on the teachers' knowledge of their students' MLD. Finally, the study recommends developing the managerial practices regarding the MLD issue further.

We investigated the effects of just-in-time guidance at various stages of inquiry learning by novice learners. Thirteen participants, randomly assigned to an intervention (n = 8) or control (n = 5) group, were observed as they learned about DC electric circuits using a web-based simulation. Just-in-time instructional prompts to observe, predict, explain, systematically test, collect evidence, and generate rules were strongly associated with diagnosing and correcting misconceptions, and constructing correct scientific concepts. Students’ repeated use of predictions, systematic testing, and evidence-coordinated reasoning often led to formulating new principles, generalizing from observed patterns, verifying comprehension, and experiencing “Aha!” moments. Just-in-time prompts helped learners manage embedded cognitive challenges in inquiry tasks, achieve a comprehensive understanding of the model represented in the simulation, and show significantly higher knowledge gain. Just-in-time prompts also promoted rejection of incorrect models of inquiry and construction of robust scientific mental models. The results suggest ways of customizing guidance to promote scientific learning within simulation environments.

This paper explores misconceptions and errors (M/Es) of eighth-grade students in Nepal with a quasi-experimental design with nonequivalent control and experimental groups. The treatment was implemented with teaching episodes based on different remedial strategies of addressing students' M/Es. Students of control groups were taught under conventional teaching-learning method, whereas experimental groups were treated with a guided method to treat with misconceptions and errors. The effectiveness of treatment was tested at the end of the intervention. The results showed that the new guided treatment approach was found to be significant to address students' M/Es. Consequently, the students of experimental groups made significant progress in dealing with M/Es in mathematical problem-solving at conceptual, procedural, and application levels.

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.

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.

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.