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.

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.

This study aimed to determine the influence of critical thinking skills on misconceptions using a five-tier instrument in mixed-method research. The sampling technique used is simple random sampling. The data collection instrument used a critical thinking skills questionnaire, a misconception test of electric field material, and interviews. Data collection begins with quantitative data, providing a misconception test sheet and a critical thinking skills questionnaire. After that, the researcher took qualitative data in the form of interviews to strengthen data that had been obtained previously. Then from the results of the regression coefficients, there is an influence of critical thinking skills on misconceptions. The descriptive results of critical thinking skills data show that the mean of critical thinking skills is 68.50, which means that students' critical thinking skills are in a good category. Then from the results of the regression coefficients, there is an effect of critical thinking skills on a misconception, with the probability number obtained being significant. The limitations of this study are only to identify and see the impact.

This research aims to explore students' learning obstacles in solving fraction problems in elementary school. This qualitative research used a case study method. The research subjects involved 30 third-grade elementary school students from two different schools in Bandung City, Indonesia. The instruments utilized were test and non-test. The test technique was done by giving fractional material questions, while the non-test technique was in the form of interviews. The data collected were then analyzed employing the three stages of the Miles and Huberman model, including data reduction, data presentation, and drawing conclusions. The study findings revealed that students experienced epistemological obstacles, where students experienced limited knowledge, ranging from the basic concepts of fractions, fractional arithmetic operations, and fraction problem-solving. Based on these findings, teachers can construct learning designs with appropriate didactic situations as a follow-up to minimize the occurrence of similar learning obstacles in future fractional learning materials.

The study discussed in this paper is a systematic literature review related to the role of dual language programme (DLP) in mathematics education which has been published within the last 5 years. This study was conducted to identify the distribution of DLP studies in terms of year of publication, the study context covered in previous studies, the context of study areas used, focus and trends of past studies, research methods used in previous studies and the role of language in school mathematics education. This review study followed the guidelines of Preferred Reporting Items for Systematic Reviews and Meta-Analyzes (PRISMA) to analyze articles from Scopus and Web of Science. The findings of the study indicate that research trends in the implementation of the DLP on mathematics education for secondary school students showed an increase from 2017 to 2019. Most DLP-related articles are widely developed in the United States and Germany. The findings indicate that previous studies are more interested in studying the implementation of DLP in rural areas. Past studies have also preferred to use the design of either a qualitative study or a quantitative study to be implemented. Questionnaires, tests and interviews are among the research instruments that are often used for a study.

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.

Teacher knowledge is one of the main factors in the quality of mathematics learning. Many mathematics teachers have difficulty using proportional reasoning. Proportional reasoning is one of the essential aspects of the middle school mathematics curriculum to develop students' mathematical thinking. Teachers should realize that developing proportional reasoning is not an easy task. In this study, we investigated how teachers give proportional reasoning about the concept of proportional and non-proportional situations, especially in making sense of them. The research subjects were mathematics teachers who had taught proportional-related material. Data was collected using task-based interviews outside the teacher's working hours. Data analysis and interpretation were completed using a framework meaning-based approach. The results of the data analysis showed that the teacher is careful in understanding information, is aware of multiple meanings, and knows key information in understanding the contextual structure of proportional and non-proportional situations. Furthermore, they are also able to identify additive and multiplication relationships, have flexibility in understanding proportional and non-proportional situations separately or collectively, and understand problem-solving systematics in detail.

Education systems worldwide have been significantly disrupted due to the COVID-19 pandemic, creating an immediate need for a revamp of conventional teaching and learning techniques. To explore how this has affected the educational landscape, a scoping review was conducted. This scoping review aimed to examine the changes that occurred in the education field and to explore how it has transformed the educational landscape review. Using Arksey and O'Malley's methodology, 51 articles were selected for analysis from two leading databases: Scopus and Web of Science. All chosen articles were then subjected to thematic analysis. Three main aspects impacted by this global event were uncovered, which are technological advancements and digital transformation, changes in pedagogy and teaching methods, and mental health and well-being issues. This scoping review provides valuable insights into one of the most critical sectors affected by COVID-19, which can assist with planning future strategies for similar crises.

The objective of this study is to analyze secondary school students' conceptual understanding of integer addition and subtraction. To achieve this, a test based on the multidimensional assessment approach Skills, Properties, Uses, and Representations (SPUR) was administered to 34 secondary school students selected through convenience sampling at a secondary school in Puebla, Mexico. The study employs a qualitative research methodology at a descriptive depth level. The analysis of student responses utilized basic descriptive statistics and the qualitative content analysis technique. Significant differences were found in the accuracy levels across the SPUR dimensions: skills (51.8%), properties (41.9%), uses (60.8%), and representations (20.6%). Students with a solid conceptual understanding of integer addition and subtraction demonstrated high accuracy levels in at least three dimensions. The main difficulties identified were the use of the negative sign and challenges in adding two negative integers. The SPUR approach is a viable alternative for multidimensionally analyzing and assessing conceptual understanding of integer addition and subtraction.

This study examines the impact of digital tools on fraction comprehension among 5th-grade students with learning difficulties in mathematics. It assesses the effectiveness of three teaching methods: educational software, video tutorials, and their combination. The research involved 252 students from 8 state-funded elementary schools, employing a quantitative experimental design with pre- and post-test assessments. Grounded in Constructivist Learning Theory and Technological Pedagogical Content Knowledge (TPACK), this research explored how technology can enhance mathematical understanding. Results indicated that the combined method achieved the highest improvement (58%, p < .001, Cohen’s d = 3.03), significantly outperforming educational software alone (33%, p = .015, Cohen’s d = 2.52) and video tutorials alone (7%, p = .987, Cohen’s d = 0.14). These findings highlight the substantial benefits of integrating diverse digital tools to effectively support mathematics learning among students facing additional educational challenges.