Metacognition plays an essential role in adults' cognitive offloading decisions. Despite possessing basic metacognitive capacities, however, preschool-aged children often fail to offload effectively. Here, we introduced 3- to 5-year-olds to a novel search task in which they were unlikely to perform optimally across trials without setting external…

Research into technological problem solving has shown it to exist in a range of forms and draw upon different processes and knowledge types. This paper adds to this understanding by identifying procedural and epistemic differences in relation to task performance for pupils solving a well-defined technological problem. The study is theoretically…

The important role of student agency in collaborative problem-solving has been acknowledged in previous mathematics education research. However, what remains unknown are the processes of agency in open-ended tasks that draw on real-life contexts and demand argumentation beyond "mathematical". In this study, we analyse a video recording…

In this article, we show how students' productive struggle on a mathematical task can lead to collective mathematical creativity. We use observable (co)actions and interactions from a video record that features three Grade 6 students in a problem-solving session to document the emergence of collective creativity leading to a mathematical solution.…

The literature on proof by contradiction (PBC) is nearly unanimous in claiming that this proof technique is "more difficult" for students than direct proof, and offers multiple hypotheses as to why this might be the case. To examine this claim and to evaluate some of the hypotheses, we analyzed student work on proof construction problems…

This descriptive research aimed to know students' problem-solving ability in arithmetic operations on algebra forms through an Indonesian realistic mathematics education, namely Pendidikan Matematika Realistik Indonesia (PMRI), approach in secondary school number 17 Palembang. The learning process, material, and assessment used were principles and…

In this work, we study several closely related problems involving chains, conveyor belts, and rockets, which are described and solved without the application of infinitesimal calculus, or even the concept of mathematical limit. On one hand, the novelty lies not in the problems themselves, but in the method used for their solution, which brings…

This study investigated the strategies students in general chemistry and analytical chemistry courses used before and after instruction to solve a volumetric analysis problem in which the molar ratio was not 1:1. Questions like this have historically been very challenging for high school and undergraduate students. Student writing on open-response…

Singapore students have consistently demonstrated outstanding levels of performance in mathematics and problem solving captured in international assessments. However, these stellar results stand in contrast to Singapore's real-world problem-solving capacities, evidenced by her diffident innovation levels and a limited talent pool with…

Traditionally, absenteeism has been understood as a problem that requires individualised punitive measures. However, more recent studies have highlighted the importance and coherence of tackling it through community-based approaches in which the entire educational ecosystem is involved and participates. This article describes the methodological…

The reasons for teaching programming in school are indeed manifold. Programming can for example be utilized as a vehicle for understanding and learning particular mathematical subject matter, or as a tool for solving mathematical problems. In this paper, however, we propose to utilize programming as a vehicle for developing mathematical…

Background: In light of the growing need to understand interactive learning effectivity and especially post-COVID 19 pandemic constraints, the key question is how to develop interactive videos in order to get the most effective results. Objectives: This research aims to explore the pedagogical benefits of interactive video with branching…

Criticism has been raised about creativity researchers narrowing their focus solely to the cognitive processes within individuals. To address these concerns, this case study seeks to expand the scope of creativity research by delving into metacognitive, motivational, and emotional processes involved in collaborative creative problem-solving. The…

This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…

A teacher of mathematics knows mathematics as a teacher and as a mathematician. Whilst the existing research on teacher knowledge contributes to our understanding of the ways of knowing mathematics as a teacher, little is known about ways of knowing mathematics as a mathematician. Guided by the conceptual framework of mathematical practices (MPs)…