Future students are confronted with a complex world that demands the ability to solve problems in unstructured, undefined, and unfamiliar situations. The aim of the present study was to investigate the development of problem-solving skills through the implementation of Problem-Based Learning (PBL). While previous research has primarily focused on…

This study examines the attitudes and opinions of 161 students, future primary school teachers, in Romania towards mathematical word problems during the 2023-2024 academic year. The investigation aimed at identifying their views on the importance, utility, and challenges of word problems. The results indicate that most students recognize the…

Reasoning with mathematics plays an important role in university students' learning throughout their courses in the scientific disciplines, such as physics. In addition to understanding mathematical concepts and procedures, physics students often must mathematize physical constructs in terms of their associated mathematical structures and…

Complex problem solving (CPS) is considered to be one of the most important skills for successful learning. In an effort to explore the nature of CPS, this study aims to investigate the role of inductive reasoning (IR) and combinatorial reasoning (CR) in the problem-solving process of students using statistically distinguishable exploration…

From an early age, understanding proportional reasoning is a fundamental pillar in mathematics education, and therefore, teachers should have a thorough knowledge of it. Despite its significance, there are few studies that analyse the difficulties that student teachers have in understanding proportionality, and even less so inverse…

It is widely agreed that knowing how prospective teachers develop analogical reasoning in solving problems is essential. Problem solving is specific domain that requires particular ways of analogical reasoning skill. The purposes of this study was to reveal the development of analogical reasoning and strategies used by a prospective teacher. The…

How do people come to opposite causal judgments about societal problems, such as whether a public health policy reduced COVID-19 cases? The current research tests an understudied cognitive mechanism in which people may agree about what "actually" happened (e.g., that a public health policy was implemented and COVID-19 cases declined),…

In order to investigate the nature of complex problem solving (CPS) within the nomological network of cognitive abilities, few studies have simultantiously considered working memory and intelligence, and results are inconsistent. The Brunswik symmetry principle was recently discussed as a possible explanation for the inconsistent findings because…

Purpose: Researchers piloted a problem-based learning (PBL) activity in a master's degree-granting strategic studies program to explore how students apply knowledge and skills learned from the curriculum to their formulation of a strategy addressing a real-world global security scenario. Design/methodology/approach: This mixed-methods pilot study…

The task of higher education is twofold: (1) to prepare students to meet the expectations of the labor market; and (2) to create a learning environment and conditions so that as many students can meet the subject requirements as possible, the dropout rate should be the lowest possible. Input and continuous monitoring of students' transversal…

This article presents a theoretical approach and an analytical toolbox for researchers on reflections in PE and PETE. Its purpose is to provide an approach to analyzing how reflections are composed. Previous research mainly asks how teachers and student teachers (STs) reflect and use different theoretical concepts to describe the way in which they…

Lockwood has argued that taking a set-oriented perspective is critical for successful combinatorial enumeration. To date, however, the research literature has not yet captured the cognitive processes involved in taking such a perspective. In this theoretical paper, we elaborate the constructs of spatial structuring and spatial-numerical linked…

The aim of this study is to examine the ability of pre-service mathematics teachers to detect errors made in solving questions about matrices. The study particularly focused on revealing the internalization of the teachings such as the meanings and relational dimensions of concepts and operations about matrix. The study was conducted with 26…

Teachers have difficulty integrating proof in their mathematics instruction due to both narrow beliefs about proofs and limited understanding of proofs. Indirect proofs seem to be a particular cause for concern. In this exploratory study, we contribute to the research area by reporting on an empirical study of Norwegian pre-service teachers'…

This theoretical article explores the affordances and challenges of Euler diagrams as tools for supporting undergraduate introduction-to-proof students to make sense of, and reason about, logical implications. To theoretically frame students' meaning making with Euler diagrams, we introduce the notion of logico-spatial linked structuring (or…