Examples play a variety of roles in proving and disproving. Buchbinder and Zaslavsky (2019) have produced an a priori mathematical framework for assessing students' understanding of the role of examples when proving and disproving universal and existential statements. In this paper, I highlight three important aspects that suggest an extension of…

This study is an examination of 79 elementary prospective teachers' (PSTs') capacity for recognizing the core ideas involved in modeling fraction addition problems and their difficulties in solving and presenting the process of fraction addition using area, length, and set models. PSTs completed a written task in which they represented the process…

This study aims to evaluate the advantages and disadvantages of using effective sentences in writing story problems related to integer arithmetic operations. The research methodology used is descriptive analysis with a qualitative approach, and case study design to explore in depth a phenomenon or problem. Data were collected through a documentary…

This article reports two primary school teachers' perceptions of the effectiveness of lessons based on a problem-solving intervention. The intervention included enabling and extending prompts, independent student struggle time initially and time to share problem-solving strategies at the end. The intervention had two versions: one included whole…

Uncertainties are inherent in education as learners encounter gaps in their awareness of topics, receive new information that potentially conflicts with prior understandings, and grapple with known unknowns in order to construct new knowledge. While researchers have shown that students productively struggling with problematized and uncertain…

Teaching is an immensely complex profession that often requires managing multiple and varied professional challenges. Despite these challenges, teachers tend to report moderate to high levels of well-being. This qualitative study explored this paradox by investigating the professional challenges reported and the coping strategies Swiss teachers…

Critical thinking, creative thinking, problem solving and other so-called higher-order thinking skills are regarded as crucial for students to develop. Research shows that technology can be used as a tool to stimulate students' higher-order thinking skills. However, most teachers rarely use new technology to stimulate students to engage in…

This study investigated the forms, causes, effects, and solutions to challenging behaviours in primary schools in Ibadan South West Local Government Area of Oyo State, Nigeria. The qualitative research design of the case study type was used for the study. The study population consisted of pupils, teachers, and school heads. The purposive sampling…

Teaching through problem-solving (TTP) is an approach that helps develop learners', critical thinking, creative thinking, communication collaborative, and computational (5Cs) skills. This approach provides an opportunity for the teachers to maximise metacognition resulting in quality of instruction. This research study aims to determine the…

The primary school mathematics syllabuses in Singapore as of the year 2020 reinforces that Big ideas are central to the learning of mathematics. In support of the push to teach for big ideas, a research study is presently underway. A part of it is on the professional development (PD) of primary school mathematics teachers. As part of the PD…

For many decades, problem solving has been a focus of elementary mathematics education reforms. Despite this, in many education systems, the prevalent approach to mathematics problem solving treats it as an isolated activity instead of an integral part of teaching and learning. In this study, two mathematics teacher educators introduced 19 Irish…

Research has suggested that system-wide professional development needs to embrace ongoing and sustainable processes such as critical reflection, being within a community of practice and the co-creation of new practices within and across early childhood systems. However, there is little research on how professional development can be designed in a…

The development of students' mathematical problem-solving skills is contingent upon the approaches and methods employed by primary school teachers. This research endeavors to scrutinize the effectiveness of primary school teachers in their roles within the problem-solving process, with particular attention directed toward their inquiry techniques,…

"Martinez Elementary" teachers participated in professional development activities during the 2021-22 school year to learn about the Discursive Mathematics Protocol (DMP), a problem-solving based instructional protocol designed specifically for use with multilingual learners (MLs). These activities included training sessions designed to…

This work explores perceptions of both principals and teachers regarding the leader role and readiness of three Mexican primary school principals to manage critical events in their schools in the state of Yucatán. The study focusses on school communities embedded in disadvantageous social contexts characterized by poverty, family dysfunction, and…