The actions, processes, objects, and schemas (APOS) theory is a constructivist learning theory created by Dubinsky based on Piaget's epistemology and used to teach math worldwide. Especially the application of APOS theory to the curriculum of a mathematics class helps students better understand the concepts being taught, which in turn contributes to the formation and development of mathematical competencies. With the aid of the APOS theory and the activity, classroom discussion, and exercise (ACE) learning cycle, this study sought to ascertain the effect of teaching derivatives in Vietnamese high schools. In this quasi-experimental study at a high school in Vietnam, there were 78 grade 11 students (40 in the experimental and 38 in the control classes). As opposed to the control class, which received traditional instruction, the experimental class's students were taught using the ACE learning cycle based on the APOS theory. The data was collected based on the pre-test, the post-test results and a survey of students' opinions. Also, the data that was gathered, both qualitatively and quantitatively, was examined using IBM SPSS Statistics (Version 26) predictive analytics software. The results showed that students in the experimental class who participated in learning activities based on the APOS theory improved their academic performance and attitudes. Additionally, it promoted the students' abilities to find solutions to problems about derivatives.

‘Panic-gogy’ is a term that describes the educational situation during the pandemic due to the transformation phenomenon from face-to-face learning to distance learning. Various types of research are used to uncover the constraints of this phenomenon, but not many researchers use phenomenological studies with parents as participants. Therefore, we used a phenomenological study to describe parents’ views on the constraints, expectations, and approvals regarding the preparation of distance learning modules at the junior high school level (aged 13-15 years). Data collection was carried out using semi-structured interviews. Data were analyzed using NVivo-12-assisted thematic analysis. The main findings are that most parents experience problems. Namely, children do not understand mathematics material, incomplete explanations of material from teachers, internet disturbances, and quota limitations, and children cannot learn mathematics optimally during the distance learning period. Most parents want face-to-face learning to be carried out immediately, teachers to provide detailed explanations, and use digital learning platforms. In addition, 85% of parents agree that mathematics teachers should develop distance learning modules. However, because the pandemic is still not over, this study recommends using blended learning to maintain the quality of mathematics learning.

The successful application of the problem-based learning (PBL) approach requires feedback from the tutor to the student to guide the latter's learning process. The aim of this study was to characterise the views of a group of Chilean undergraduate students of Primary Teaching and their tutors regarding PBL methodology, and the role of feedback in it. Qualitative research was carried out based on a case study that gathered the views of students and tutors through a focus group. The methods of analysis adapted to the needs of this study are those derived from discourse analysis and especially from discourse in interaction in its three dimensions: interlocution (framework of participation), thematic (topic of discussion) and enunciative (enunciative positioning). The results indicate that students' views emphasised the inter-student collaboration involved in PBL, while tutors emphasised the motivational value of the methodology. However, both recognised the important role that feedback plays in enhancing learning opportunities. Knowing the views of both tutors and learners is central to improving PBL and feedback practices.

The various intuitive reasoning types in many cases comprise the core of students’ misconceptions about concepts, procedures and phenomena that pertain to natural sciences. Some researchers support the existence of a relatively closer connection between the right hemisphere and intuitive thought, mainly due to a notably closer relation of individual intuitive cognitive processes with specific right hemisphere regions. It has been suggested that individuals show a different preference in making use of each hemisphere’s cognitive capacity, a tendency which has been termed Hemisphericity or Hemisphere Preference. The purpose of the present study was to examine the association between hemispheric preference and students’ misconceptions. A correlational explanatory research approach was implemented involving 100 seventh grade students from a public secondary school. Participants completed a hemispheric preference test and a misconceptions documentation tool. The results revealed that there wasn’t any differentiation in the mean score of misconceptions among the students with right hemispheric dominance and those with left hemispheric dominance. These findings imply a number of things: (a) the potential types of intuitive processes, that might be activated by the students, in interpreting the biology procedures and phenomena and their total resultant effect on students’ answers, probably do not have any deep connection with the right hemisphere; (b) it is also possible that students might use reflective and analytic thought more frequently than we would have expected.

It is important for students who learn history to have the skills to think, read and analyze historical sources because past events can only be reconstructed and understood from these numerous resources. Various media methods are needed to support the development of these skills, especially in online learning. Therefore, this research aims to create a virtual field trip (VFT) based history learning media to help students improve their thinking skills using primary source evidence. It was carried out by using the research and development (R&D) method consisting of four stages, namely analysis, designs, conducting trials, and testing media effectiveness. The sample subjects consisted of six teams as expert validators, seven history teachers, 70 and 280 Class X students who assessed the product's practicality and determined the developed media's effectiveness. Data were collected through expert validation, student and teacher response questionnaire sheets, as well as description exams. The level of validity and practicality of the medium were determined using descriptive analysis, while the N-Gain approach evaluated the media's effectiveness. The expert validation result is very good, with an average score of 3.77. The teacher and student response tests showed an average score of 4.67, indicating that the VFT medium is practical for learning history. The N-Gain value of 72% showed that the students' abilities to use primary source evidence are increasing. Therefore, using VFT based history classes to develop explanation skills using primary source evidence is feasible, practical, and useful.

Digital puzzle worksheet (DPW) is innovative teaching material designed using open-source software such as Canva and Liveworksheets. Subsequently, puzzle games in the form of questions can improve problem-solving skills by engaging in metacognitive processes. This research used a case study method to describe the impact of applying the DPW to identify the metacognition levels of students through the assignment of contextual maths problems. The source of informants was third-grade elementary school students in West Java, Indonesia. Test instruments, observation sheets, and interviews were used, while data analysis adopted an iterative model. Furthermore, the method and time triangulation increased confidence in the resulting conclusions. The results showed that male students were at the metacognitive level of ‘strategic use’ and ‘aware use’ for females, based on the characteristics of the observed metacognitive level. The most prominent feature was identifying and determining problem-solving strategies with metacognitive awareness. The reaction of students to the DPW improved problem-solving abilities, expanded conceptual understanding, and enhanced digital technology competence. Therefore, this experience was applied when solving contextual mathematical problem assignments.

The increasing sophisticated learning technology and COVID-19 have pushed the teaching-learning process to use pedagogy, andragogy, and cybergogy approaches. The current research aims to investigate the relationship between the practices of these three approaches and student self-regulated learning. The structural equation model used indicates that pedagogy practices may affect the andragogy practices in teaching-learning process. Pedagogy approach shows no direct effect but has an indirect effect on students’ self-regulated learning. The indirect effect comes from the pedagogy-andragogy continuum and the impact of pedagogy instruction on cybergogy practices. Andragogy practices also gives a significant impact on students’ self-regulated learning and how the students use learning technology in cybergogy approach. Andragogy and the continuum of cybergogy promote students’ self-regulated learning. These results indicate that pedagogy-andragogy continuum can have an interplay with cybergogy. The interplay of these approaches may encourage students’ self-regulated learning. The current research can be a baseline to construct a new approach in teaching-learning process and its instructions in the classroom.

Lesson study, observation and analysis are relevant to professional development and initial teacher education. As a strategy, it helps to bridge the gap between theory and practice. The health conditions brought on by the COVID-19 pandemic forced the restriction of the tutors’ direct observation of preservice teachers at school. This study analyses preservice teachers’ performance through video observations to evaluate their professional activity at school during the COVID-19 pandemic. The Fifteen Items Revised Tsang-Hester Observation Rubric (FIR-THOR) was administered to a sample of 166 preservice teachers in their internship schools and their video recordings each one of 45-minute teaching lessons were analysed. The results show that the FIR-THOR appears as a robust instrument, which allows us to conclude that the instrument works well in the three five-items dimensions that compose it - Instruction, Management, and Assessment - proving to be reliable for assessing teacher intervention in the classroom. Among the three dimensions, the preservice teachers’ performance stands out in the Management of the classroom, as well as in the classroom Instruction. This contribution is relevant considering the potential of lesson analysis in learning and professional development during initial teacher training.

Many students have misconceptions about mathematics, so preservice teachers should be developing the skills to notice mathematical misconceptions. This qualitative study analyzed preservice teachers' skills in noticing student misconceptions about algebra, according to three aspects of noticing found in the literature: attending, interpreting and responding. Participants in this study were seven preservice teachers from one university in the capital of Aceh province, Indonesia, who were in their eighth semester and had participated in teaching practicums. Data was collected through questionnaires and interviews, which were analyzed descriptively. The results revealed the preservice teachers had varying levels of skill for the three aspects of noticing. Overall, the seven preservice teachers' noticing skills were fair, but many needed further development of their skills in interpreting and responding in particular. This university’s mathematics teacher education program should design appropriate assessment for preservice teachers’ noticing skills, as well as design and implement learning activities targeted at the varying needs of individual preservice teachers regarding noticing student misconceptions, in order to improve their overall teaching skills.

Education for all and education equality has been an important issue to be payed attention to, especially in the rural areas in Indonesia. Education in rural areas is very underdeveloped due to the lack of the equitable distribution of education services. The main factors behind this problem are the pedagogic competence of teachers and inadequate infrastructure. These factors have a direct impact on the digital literacy of students in rural areas, even though digital literacy is very important in the era of the industrial revolution 4.0. This research is a development research that is aimed at developing a valid, practical and effective Lesson Study (LS)-based smart teaching model. The study was conducted at a junior high school in Jeneponto Regency, South Sulawesi, Indonesia. The results showed that the LS-based smart teaching model developed was valid, practical, and effective to promote students' digital literacy. The development of this teaching model is expected to improve the quality of educators' pedagogic competence in teaching and be able to form educators' creative innovations that can directly have an impact on improving the quality of learning in the classroom.

This research aims to describe secondary school students' functional thinking in generating patterns in learning algebra, particularly in solving mathematical word problems. In addressing this aim, a phenomenological approach was conducted to investigate the meaning of functional relationships provided by students. The data were collected from 39 ninth graders (13-14 years old) through a written test about generating patterns in linear functions. The following steps were conducting interviews with ten representative students to get detailed information about their answers to the written test. All students' responses were then analyzed using the thematic analysis software ATLAS.ti. The findings illustrate that students employed two types of approaches in solving the problem: recursive patterns and correspondence. Students favored the recursive patterns approach in identifying the pattern. They provided arithmetic computation by counting term-to-term but could not represent generalities with algebraic symbols. Meanwhile, students evidenced for correspondence managed to observe the relation between two variables and create the symbolic representation to express the generality. The study concludes that these differences exist due to their focus on identifying patterns: the recursive pattern students tend to see the changes in one variable, whereas the correspondence ones relate to the corresponding pair of variables.

The study explored the perspectives and experiences of the participating teachers regarding the sudden switch to online learning during the COVID-19 epidemic. 159 teachers from four junior high schools in Taguig City, Philippines, provided the data. The study used the quantitative approach to research, specifically it utilized the descriptive method using survey as way to gather data. The data was statistically analyzed using the frequency distribution, percentage formula, mean, and Mann-Whitney and Kruskal-Wallis tests. The study's findings show that the respondents' perceptions and experiences during the sudden change to online learning, which was caused by the pandemic that focuses on internet access, digital infrastructure, administrator assistance, and learning environments, are typically similar. Additionally, there were no significant differences found between the participants’ responses and their demographics as to sex, highest educational attainment, years in service and specialization.

Logical-mathematical intelligence is highly needed to ease students’ understanding of mathematics concepts. Therefore, it is necessary to delivery an innovative teaching approach to enhance students’ logical-mathematical intelligence. This study aims to investigate the use of mathematics comics to increase the logical-mathematical intelligence of junior high school students in urban and rural schools. This study employed a quantitative approach with a pretest-posttest control group design. The population of this study were seventh-grade students from a junior high school in Banda Aceh (urban areas) and a junior high school in Aceh Besar (rural areas), Indonesia. The samples of this study were two classes (experimental and control) from each school which were selected randomly. To collect data, we used a logical-mathematical intelligence test and analyzed it by using t-test. This study shows that the use of mathematical comics in urban schools can improve mathematical logical intelligence. However, there was no improvement in students' mathematical logical intelligence in rural schools. Therefore, this study showed that using mathematics comics in different school conditions yield different results in logical-mathematical intelligence. The findings suggest that other learning innovations are required to improve students' logical-mathematical intelligence in rural areas.

Graduates of higher education need, in addition to knowledge, skills such as cooperation, communication, and problem-solving to cope with their working life. Collaborative learning environments like co-creation, are gaining attention for their ability to cultivate these essential skills. This study aims to investigate the understanding and efficacy of co-creation from the perspective of 145 undergraduate students enrolled in a physics course, using a questionnaire. Design thinking, using the double-diamond model, is applied as the co-creation methodology. The study examines the effects of co-creation and design thinking on teamwork and the development of skills. The study also discusses the differences in co-creation, design thinking, teamwork, and skill development among various demographics, previous co-creation experiences, and teaching methods. The findings demonstrate that the majority of students understand the concepts of co-creation and design thinking, and that their co-creation teams functioned satisfactorily, leading to the development of necessary skills. However, increasing age seems to be an inhibiting factor. Finally, the study shows that students who prefer co-creation as a teaching method or have previous co-creation experiences are more receptive to this approach.

The Think-Pair-Share (TPS) strategy makes the learning environment interactive, lively, collaborative and democratic. It allows students to interact; accept information; develop collaborative discussion skills; refine their thinking; and participate effectively in the classroom. In this study, the researchers investigated the effect of the collaborative discussion strategy (think-pair-share) on developing students' skills in solving engineering mathematical problems. Once we had confirmed the validity and reliability of the tools, we used the quasi-experimental approach. The study sample consisted of 66 students divided into two groups: Namely, an experimental group, which comprised 33 students who studied mathematics using the (think-pair-share) strategy; and a control group, which comprised 33 students who studied in the traditional way. Both groups sat for a pretest and post-test in mathematics. The test results showed that the use of the TPS strategy had a positive effect on developing problem-solving skills compared to the traditional method. In light of these results, the study recommended the use of TPS strategy to improve the skills of students in solving engineering mathematical problems.

Motivation is essential in shaping how much a student is interested in learning and also affects how much students will learn from a learning activity or how much students' ability to capture the information presented by the teacher. Well-motivated students will produce a vibrant learning atmosphere and a better success rate. This research aims to determine whether the motivating active learning in physical education (MALP) model can help kids in elementary school develop their capacity for critical thinking. The design used is experimental. The research subjects were grade 6 elementary school students representing five sub-districts in the Tasikmalaya district. One elementary school was taken from each sub-district through a probability sampling technique using the cluster random sampling approach. The total sample taken was 137 people. The results of the study prove that applying the MALP model can greatly influence improving the critical thinking skills of elementary school students. The result of the study is proven by the significance test using the paired sample t-test; the results obtained from sig. (2-tailed) of .001< .05. So applying motivating active learning in the physical education model influences increasing elementary school students’ critical thinking skills.

After months of 100% online teaching due to the pandemic produced by COVID-19, the return to face-to-face classes is being experienced. This study focused on finding the English as a foreign language (EFL) University professors’ perspectives of online education during that time. The information was collected from three Ecuadorian universities: The Technical University of Ambato, The Higher Polytechnic School of Chimborazo, and The University of Cuenca. The survey was designed with 26 questions about professors’ perceptions of online teaching and its impact on their pedagogical practices, affective factors, and student achievement. Software R, and the Cronbach's alpha tests were used as statistical tools, along with Kendall's Tau_b, and the Kruskal-Wallis test. The results showed that teaching online not only represents a solution in cases where face-to-face education is not possible, but also offers teachers the opportunity to experience the benefits of using technological tools and innovative strategies. Although some drawbacks, such as lack of time and real interaction were encountered, online teaching resulted in an alternative methodology that engaged learners.

Morocco has undergone significant reforms in the education and training field, including the implementation of preschool education as a compulsory stage in the education system. Several studies have shown that attitudes toward science tend to decline between the ages of 11 and 14. Therefore, it is crucial to promote the acquisition of different modes of reasoning and forms of thought from early childhood. The primary objective of preschool education in Morocco should be to promote positive attitudes toward science. This study aims to analyze the preschool program prescribed in the Moroccan curriculum framework with regard to scientific awareness as well as its methodological and practical implications. The analysis was conducted using a designed grid and including the following criteria: construction of school science; axiological and psychological foundations of science learning; objectives and competencies; contents; approaches; activities; teaching strategies; didactic resources; pedagogical design and evaluation. The study's findings revealed that the Moroccan Curriculum Framework for Preschool Education featured a number of dimensions related directly to scientific awareness. However, no explicit statements about scientific awareness or science literacy were made. Moreover, some elements suggested in the program document were out of phase with the current trends of scientific awareness. Therefore, the study offered some suggestions for improving the proposal provided by this pedagogical document. In conclusion, Morocco's focus on preschool education is a positive step towards building a more scientifically literate society. However, to fully benefit from it, the guidance document must be revised to reflect current scientific awareness trends.

The accuracy of assessing the capabilities of the process and product in chemical practice activities requires appropriate measurement procedures to be followed. It is crucial to identify the components that can introduce bias while measuring student abilities during the measurement process. This study aims to identify the components or criteria used by teachers to assess student performance in practicum activities and analyze the quality of the rubrics developed. The study was conducted with the participation of three raters, 27 high school students, and nine assessment criteria. A quantitative descriptive approach was employed using the many-facet Rasch model (MFRM) analysis for measurement. The results of the MFRM analysis show no significant measurement bias, with data measurement facets fitting the MFRM model. The reliability of all the facets meets the criteria, and the scale predictor functions appropriately. While all students can easily pass four out of nine items, five items can only be partially passed by students. The assessment criteria that require special attention include communication skills, tools and assembly, interpretation, cleanliness, and accuracy when performing practicums. These criteria provide feedback for teachers and students to ensure successful practicum activities. The Discussion section of this study delves into the findings and their implications.

This study seeks to investigate the relationship between dropout intent, the weekly work duration of student employees, and university social capital by analysing empirical evidence from three European countries, including Estonia, Lithuania, and Poland. This exploratory study utilised Eurostudent-VII survey data and employed cross-tabulation and exhaustive Chi-square Automatic Interaction Detection (CHAID) to achieve its objectives. Findings indicate that student employees who believe they get along well with their teachers and have more connections with fellow students to discuss subject-related issues are less likely to intend to drop out of university. In addition, the results show that students’ likelihood of abandoning their higher education increases in the presence of difficulties caused by an inapt academic programme. Regarding employment duration, for the Estonian and Lithuanian markets, there is no difference between working more than 20 hours per week or less than that with the intention of dropping out of university. In Poland, however, the disparity in working hours interacts with other factors related to social capital to explain dropout intent. These findings provide novel insights into the dropout literature by refreshing thoughts on the role of teacher-student and peer relations in the dropout intentions of student employees. In addition to reviving the relevance of university social capital, which has received too little attention lately, they have also sparked a recent debate on whether or not combining work and university actually affects the intention to drop out.