Background/purpose: This study investigates the probabilistic thinking process in solving probability problems by prospective mathematics teachers with a field-independent cognitive style. The objective is to explore how individuals with this cognitive style approach problem-solving based on the three stages of Polya's framework: understanding the…

This study aimed to elicit middle school pre-service mathematics teachers' personal meanings of realistic mathematics problems. The study presents a portion of a larger design-based study involving teacher training sessions encompassing small-group discussions, writing realistic mathematics problems, and whole-group discussions. The audio records…

The invention of problems is a fundamental competence that enhances the didactic-mathematical knowledge of mathematics teachers and therefore should be an objective in teacher training plans. In this paper, we revise different proposals for categorizing problem-creation activities and propose a theoretical model for problem posing that, based on…

This classroom-based action research investigates the impact of teaching problem-solving heuristics on preservice teachers' mathematical creativity, self-efficacy, and problem-solving beliefs. The study was conducted with seven preservice teachers at a state university in the Philippines, using a Plan-Do-Study-Act (PDSA) cycle. Participants were…

Comprehending and formulating strategies for geometry problems that require higher-order thinking skills (HOTS) is crucial in enhancing mathematics education. This study implements a qualitative case study approach to comprehend how prospective mathematics teachers with varying Adversity Quotients (AQ) solve geometry Higher-Order Thinking Skill…

This study uses a quantitative methodology, employing a structured questionnaire, to examine the effectiveness of courses offered by Rustaq College of Education in enhancing students' future skills. The study focuses on pre-service teachers' perceptions within the context of the Omani Future Skills Paradigm Framework. The study results show that…

In this study, temporal speech cues were integrated into online curriculum to solve non-routine problems in curricular multimedia. Teachers-in-training (n=56) were randomly assigned to one of three treatment conditions. It was expected that participants in the temporal speech cues condition would be more likely to solve problems than those in the…

Mathematical modelling can be described as "[…] the process of translating between the real world and mathematics in both directions" (Blum & Ferri, 2009, p. 45). Both students and teachers often find mathematical modelling challenging. Thus, it is important that future teachers are aware of the challenges their students might…

This study explores the effectiveness of different problem-posing approaches in improving learning outcomes and problem-posing abilities among prospective mathematics teachers. This study employed a pre- and post-tests control group experimental design. The experimental group engaged in online and direct problem-posing, the comparison group used…

Pre-service teachers' metacognitive and problem-solving skills are highly important in the process of becoming effective teachers for providing their students with guided learning support. Determination of these two higher-order thinking processes and skills and investigation of the relationship between them is very important for enabling…

This paper describes the design, implementation, and results of a training action with prospective primary education teachers, focusing on the creation of problems involving proportional and algebraic reasoning. Prospective teachers must solve a proportionality problem using both arithmetic and algebraic procedures, and then vary it to motivate…

Increasing science, technology, engineering, and mathematics (STEM) self-efficacy is necessary for closing the gap in STEM fields. There is a lot expected of students studying in STEM fields. However, studies have frequently mentioned the importance of design thinking in developing self-efficacy in STEM teaching. It has been highlighted as an…

In the 21st century, the concept of digital literacy (DL) has become an essential skill set that empowers educators to harness the full potential of technology in the classroom as a crucial element for teaching 21st-century skills (T21C). This study aims to explore pre-service teachers' level of DL and their capabilities of T21C, and whether their…

This study examines the impact of working memory capacity and mathematics anxiety on the creative reasoning of prospective mathematics teachers, highlighting how these cognitive factors shape problem-solving processes. This research used a mixed-method sequence explanatory method with a sample size of 60 people for quantitative research, and four…

A pedagogical dilemma occurs when an in-class event or external factor challenges a teacher's principles or instructional practices and compels the teacher to resolve the dilemma. This article focuses on how resolving dilemmas can enhance the conceptual understanding of both student teachers and their supervisors. The supervisory setting this…