This article introduces a model entitled, “Responsive Teaching through Problem Posing” or RTPP, that addresses a type of reform oriented mathematics teaching based on posing relevant problems, positioning students as experts of mathematics, and facilitating discourse.  RTPP incorporates decades of research on students’ thinking in mathematics and more recent research on responsive teaching practices.  Two classroom case studies are presented.  A high school unit on functions is explored utilizing individual research on the part of the teacher to enact RTPP lessons.  A middle school teacher enacts a RTPP lesson on proportions and utilizes this model to bridge students’ incorrect additive reasoning strategies with correct multiplicative reasoning strategies.  The results showed that both teachers were able to elevate students’ roles in classroom discussions through implementation of RTPP.  Individual research conducted by the high school teacher informed his RTPP approach while participation in professional development sessions with a classroom embedded component influenced the middle school teacher’s enactment of RTPP lessons.  Both teachers used specific teacher moves within RTPP to relinquish their role as mathematics experts in order to elevate their students’ roles in classroom discussions.  The RTPP cycle is offered as a potential model for studying mathematics teaching and learning across a variety of secondary mathematics classrooms.

The aim of this research is to determine the misconceptions among 6th, 7th and 8th grade students about the order of operations in line with arithmetic expressions and posing and solving problems related to arithmetic expressions. The research has a mixed-method research design with concurrent-triangulation design. The study group for the research comprised a total of 240 students with 78 from 6th grade, 80 from 7th grade and 82 from 8th grade chosen with the simple random sampling method from schools located in a city in the Eastern Black Sea Region in Turkey. The research used a two-tier diagnostic test developed by the researcher to determine the misconceptions of students. According to the results of the research, it was determined that 6th, 7th  and 8th grade students performed arithmetic expressions from left to right without paying attention to order of operations, stated that only operations in brackets need to be performed first in terms of order of operations, did not pay attention to order of operation when writing or solving an arithmetic expression equal to a given number, and that students had difficulty posing a problem sentence involving arithmetic expressions and requiring order of operations.

This study describes the development and validation of a psychometrically-sound instrument, the Active Learning Strategies Inventory (ALSI), designed to measure learners’ perceptions of their active learning strategies within an active learning context. Active learning encompasses a broad range of pedagogical practices and instructional methods that connect with an individual learner's active learning strategies. In order to fulfill the study's goals, a conceptual framework on learners’ active learning strategies was developed and proposed, drawing upon the research literature on active learning. The development and construct validation of the Active Learning Strategies Inventory (ALSI), based on the conceptual and methodological underpinnings, involved identifying five scales of learners’ active learning strategies: engagement, cognitive processing, orientation to learning, readiness to learn and motivational orientation. An item pool of 20 items was generated following an extensive review of the literature, standardized card sorting procedures including confirmatory factor analysis and scale validation of a pilot (n = 407) survey. The ALSI scale demonstrated strong internal consistency and reliability with a Cronbach's alpha ranging from 0.81 to 0.87. High item loading scores from the factor analysis provided initial support for the instrument's construct validity of the five-factor model. The ALSI scale provides a reliable and valid method for researchers and academicians who wish to measure learners' perceptions of their active learning strategies within an active learning context. Finally, we discuss the implications and address the limitations and directions for future research.

In the current study, the problems posed by pre-service primary school teachers within the context of semi-structured problem formation were analyzed according to their type, cognitive structure, and content knowledge. A total of 134 pre-service primary school teachers attending a state university in Turkey participated in the current study designed in line with the case study design. The pre-service teachers were presented with a table and they were asked to establish a problem suitable for the elementary level using the data given in the table. The data were collected through the established problem statements and written explanations of the participants. The collected data were analyzed by using both content and descriptive analyses. The findings have revealed that the pre-service teachers less preferred real-life problems than routine type of problems and the problems at the level of reasoning than the problems at the levels of knowing and applying. Moreover, nearly half of the pre-service teachers erroneously expressed the grade level for which they established their problem. The results have shown that the pre-service teachers do not adequately use real-life problems and problems at the level of reasoning and that there are deficiencies in their mathematical content knowledge depending on their knowledge of the curriculum.

Revision constitutes an important component of the writing process that integrates text interpretation, reflection, and production. Although previous studies have offered useful insights into the revision behaviour of L2 writers at different levels of proficiency using off-line measures, little is known about the online processes of revision. In this study, I used keystroke logging to investigate longitudinal changes in the revision processes of postgraduate and undergraduate students in the context of an intensive English for Academic Purposes (EAP) program. Twenty-five postgraduate and 14 undergraduate students participated in this study. The keystroke logging program Inputlog was used during two essay writing sessions at the beginning and at the end of the course to observe how the participants revise their essays and to get insights into their on-line writing processes. Keystroke logging data were coded in terms of the orientation and location of revisions. The results revealed that postgraduates produced more content-oriented revisions at the end of the programme than at the beginning. The opposite trend was observed for the undergraduates, who revised their essays significantly less frequently at the end than at the beginning of the EAP program and made more mechanical revisions than postgraduate writers. The findings highlight fundamental differences in the developmental trajectories of revision processes between postgraduate and undergraduate students. These differences caused by previous academic writing experience and language proficiency should be considered in developing materials for EAP programs. In the paper, I also discuss benefits of using keystroke logging to investigate L2 writers’ revision processes.

The self-report and think-aloud approaches are the two dominant methodologies to measure metacognition. This is problematic, since they generate respondent and confirmation biases, respectively. The Meta-Performance Test is an innovative battery, which evaluates metacognition based on the respondent's performance, mitigating the aforementioned biases. The Meta-Performance Test consists of two tests, the Meta-text, which evaluates metacognition in the domain of reading comprehension, and Meta-number, in the domain of arithmetic expressions solving. The main focus of this article is to present the development of the battery, in terms of its conceptual basis, development strategies and structure. Evidence of its content validity is also presented, through the evaluation of three experts in metacognition, two experts in Spanish language, two experts in mathematics and five students who represent the target population. The results of the judges' evaluations attested to the Meta-Performance Test content validity, and the target population declared that both the battery understanding and taking are adequate. Contributions and future research perspectives of the Meta-Performance Test in the field of metacognition are discussed.

The present study aims to investigate the problem-solving skills of the students getting professional music training. For this study, the problem-solving inventory was administered to participants from two different universities in Turkey. Participants’ problem-solving skills were assessed in relation to the overall inventory and subscales, and the differences based on grade level, gender, and universities were examined using Statistical Package for the Social Sciences (SPSS). Results revealed that participants occasionally used their problem-solving skills, rarely felt confident in their problem-solving skills, and occasionally performed the behaviors in the subscales of approach-avoidance and personal control. The grade level differentiated music students’ problem-solving skills in the overall scale and approach-avoidance subscale. It is also found that there are no significant differences in students’ problem-solving skills based on gender. However, the participants’ universities led to significant differences in the approach-avoidance subscale. The results were discussed considering the literature, and the recommendations were suggested due to the results.

The importance of literacy is a competency requirement that must be possessed by students to face competition in the 21st century. This is directly related to the extent to which students' scientific thinking processes understand and solve problems. This study aims to describe how literacy is trained in learning in junior high schools. The approach used is a qualitative approach with the type of phenomenological research. The participants in this study were 5 junior high school teachers who teach in the Special Region of Yogyakarta. Data was collected through virtual interviews with the help of the Google Meet platform. The data analysis model used is the model of Bogdan and Biklen with data collection procedures, data reduction, verification and conclusion. The results showed that literacy was trained on students with the habit of reading textbooks for 15 to 30 minutes every day by reporting their readings in student journals, teacher efforts in changing project and problem-based learning methods and strategies according to student conditions, and teacher habituation in providing HOTS level questions to train students' critical thinking processes, balance theoretical understanding and understand the surrounding environment.

The teaching method is one of the main aspects to make a huge contribution to the success of any education system, and project-based teaching (PBL) is an important aspect to contribute to the success of education also. This research was conducted through a review of project-based teaching that has been used in the education system of Vietnam, including a sample, and setting that included imperial and theoretical literature selected from the fields of education. Findings show that this method has been applied to various sectors of education, from kindergarten education to higher education, in many disciplines and subjects, in schools and educational settings, and has become more widely popular than ever. This method, however, has its drawbacks because it takes time to master and teachers need more skills to manage the learning atmosphere. This method has been commonly accepted as one that can help teachers and learners understand more and get more benefits in the learning and teaching process.

The field of studies in metacognition points to some limitations in the way the construct has traditionally been measured and shows a near absence of performance-based tests. The Meta-Text is a performance-based test recently created to assess components of cognition regulation: planning, monitoring, and judgment. This study presents the first evidence on the structural validity of the Meta-Text, by analyzing its dimensionality and reliability in a sample of 655 Honduran university students. Different models were tested, via item confirmatory factor analysis. The results indicated that the specific factors of planning and monitoring do not hold empirically. The bifactor model containing the general cognition regulation factor and the judgment-specific factor was evaluated as the best model (CFI = .992; NFI = .963; TLI = .991; RMSEA = .021). The reliability of the factors in this model proved to be acceptable (Ω = .701 & .699). The judgment items were well loaded only by the judgment factor, suggesting that the judgment construct may actually be another component of the metacognitive knowledge dimension but having little role in cognition regulation. The results show initial evidence on the structural validity of the Meta-Text and give rise to information previously unidentified by the field which has conceptual implications for theorizing metacognitive components.

The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students’ mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric problems with novel auxiliary features such as straight lines and curved lines. In other words, this study determined if geometry knowledge influenced mathematical creativity (cognitive flexibility) in problem-solving. Grade-12 students participated in the intervention. The high school that is the research topic attempts to equip students with academic abilities and is, except for vocational schools, the most popular form of high school among all other types. Such a school was chosen for the study so that a significant proportion of students in Makassar could be represented. In this study, we discovered a relationship between cognitive flexibility and the geometric ability of pupils while solving problems involving auxiliary lines. This indicates that the usage of auxiliary lines as a reference for developing pupils’ creative thinking skills must be advocated. In addition, good geometric abilities (e.g., visual thinking, geometrical reasoning) will encourage pupils to generate various problem-solving concepts. This finding contributes significantly to future research by focusing on auxiliary lines.

The purpose of this study was to compile and statistically analyze the results of research studies that examined students' problem-solving skills in worksheets. The research method used was a meta-analysis. The study search was conducted from 2013 to 2022 in Google Scholar and the Garuda portal databases. The search yielded 40 studies that met the inclusion criteria for extraction from research and development, experimental, and quasi-experimental. From the extracted results, 45 comparisons of data were examined. Microsoft Excel was used to calculate the effect size of the problem-solving worksheet. This study yielded a value of 1.281 for the entire study, indicating that the worksheet had a significant and positive impact on students' problem-solving skills. The results indicate the need to develop worksheets to improve students' problem-solving skills.

This paper describes an experience based on the use of an active method in which students of a basic physics course prepare multiple choice questions (MCQs) to prepare for exams in the subject. The objective of the research was to provide the students with a method that would enhance their desire to learn physics, and consequently lead to an improvement in their meaningful learning. The participants were 57 first-year students from various engineering degrees. The quasi-experimental design with pre- and post-tests and a control group is described. The results showed that students who use the method of generating MCQs to prepare exams sometimes improve their learning significantly in comparison with the control group. The method also provides a new way to detect students' misconceptions about the concepts covered in class, which thus allows the evolution of their knowledge to be evaluated. Finally, it should be noted that the students valued the method used positively.

Many education and learning experts currently recommend the flipped classroom model as an alternative to learning after the COVID-19 pandemic. This study aims to explore the impact of the flipped classroom model on social skills and problem-solving skills for cadets. This research used a sequential mix method involving 50 maritime students in semester 7 of the Engineering Study Program at the Maritime Sciences Polytechnic Makassar, South Sulawesi, Indonesia. Researchers used two main instruments, namely problem-solving skill tests and interviews. Furthermore, in the quantitative analysis, the researcher ran paired sample t-tests and one-way Multivariate Analysis of Covariance (MANCOVA) using the SPSS 25.00 program. In addition, researchers also analysed qualitative data from interviews using thematic analysis techniques. The results showed that the flipped classroom model proved to have a positive effect on the problem-solving skills of maritime students. Other findings state that the cadets also respond positively to the flipped classroom model. Researchers recommend that teachers use the flipped classroom model, especially in dealing with learning in the post-pandemic era, like today.

This study sought to examine the influence of transcription skills, evaluated using graphonomic measures, on the proficiency of text generation in students attending primary schools in Spain. A longitudinal design was employed involving 278 Spanish students distributed across three cohorts (cohort 1: 1st-2nd-4th grade; cohort 2: 2nd-3rd-5th grade; and cohort 3: 3rd-4th-6th grade). Two data collection points were used to administer the graphonomic measures, and a composition letter task was conducted at the conclusion of the study. Four multigroup structural equation models were employed, examining the direct pathways from graphonomic measures (i.e., pressure, speed, pauses, and road length) on text generation (i.e., length, fluency, planning, revision, and organization). The models demonstrated a good fit to the data. The findings from the four models, analyzed within the three cohorts, indicated that the significant effect of transcription (i.e., handwriting) on text production was primarily observed in Cohort 1 (early grades), while no significant effects were found in Cohort 2 (intermediate grades). This suggests that the importance of handwriting in text production in a transparent orthography may be more pronounced during the initial stages of writing development when students are acquiring foundational writing skills.