This study is the first to examine the associations between the occurrence, frequency, and adaptivity of children's subtraction by addition strategy use (SBA; e.g., 712 - 346 = ?; 346 + 54 = 400, 400 + 300 = 700, 700 + 12 = 712, and 54 + 300 + 12 = 366) and their underlying conceptual knowledge. Specifically, we focused on two rarely studied…

Ideation methods and outcomes have been evaluated in a variety of ways. Our study extends existing work through a qualitative analysis of idea characteristics based on the ideation method used. Beginning engineering students completed two short ideation sessions with a single design problem while following Individual Brainstorming and then Design…

There is growing evidence that the ability to perceive structure is essential for students' mathematical development. Looking at students' structure sense in basic numerical and patterning tasks seems promising for understanding how these tasks set the foundation for the development of later mathematical skills. Previous studies have shown how…

Using Balacheff's (2013) model of conceptions, we inferred potential conceptions in three examples presented in the spanning sets section of an interactive linear algebra textbook. An analysis of student responses to two similar reading questions revealed additional strategies that students used to decide whether a vector was in the spanning set…

We offer a new angle to explain the comprehension of mathematical infinity. We use Action-Process-Object-Schema (APOS) theory to explore the construction of different aspects of the cognitive Object related to this notion. We focus our attention on different ways of interacting with infinity, and how to act on infinite entities. Our aim is to shed…

Idea evaluation has been identified as a critical step in the creative problem-solving process. Yet, it is unclear how exactly individuals evaluate and compensate for weaknesses in their creative ideas. In the present study, both qualitative and quantitative methods were used to identify the compensatory strategies that undergraduate participants…

This article explores the conceptual challenges that engineering students encounter with double integrals in a vector calculus course. Drawing on previous literature and utilising APOS (Activity- Process- Objects- Schema) as a theoretical framework, this study investigates the difficulties that students face in understanding and applying double…

The study advances the instrumental approach to mathematics education (Drijvers et al., 2013; Trouche, 2003), aiming to elucidate the interplay between students' reasoning competency, conceptual knowledge and tool utilisation in dynamic digital geometry and algebra environments. The dynamic properties of these environments pose a nuanced…

The present study explored the accuracy of participants' (N = 317) metacognitive awareness (self-reported difficulty and confidence) of psychology concepts and the moderating effects of their psychology background (academic major, number of psychology courses completed, and overall psychology course grades). Participants first rated the difficulty…

The relation between learners' metacognitive skills and conceptual understanding is often portrayed as an input-output relation when dealing with science, technology, engineering, and mathematics (STEM) and non-STEM disciplines. However, studies indicate that not all pedagogies yield positive correlations between learners' metacognitive skills and…

Digital history-based project-based learning (PjBL) in history learning is a learning medium that can provide a special attraction for students who can improve historical concept skills and historical awareness. However, there are still many teachers who have not used it, so it is very important to study it. This research aims to analyze the…

Educational tools like EdPuzzle, PlayPosit, and Kaltura have gained recent attention, as they purportedly empower educators to incorporate questions, quizzes, and discussions into instructional videos. However, there is no empirical evidence on how or under what circumstances these platforms may impact students' learning. A quasi-experimental…

Literature suggests that "current characterizations of the terms procedural knowledge and conceptual knowledge are limiting and are, in fact, impediments to careful investigation of these constructs" (Star, 2005, p. 405). We examined secondary mathematics teachers' understanding of procedural and conceptual knowledge at superficial and…

With the recent data revealing the performance status of Filipino learners in science aggravated by the negative effects of the pandemic, a concerted effort is directed toward exploring how learners learn science concepts in the current educational landscape to address issues of poor conceptual understanding and a learning gap. This qualitative…

This study examined the effects of embodied learning experiences on students' understanding of computational thinking (CT) concepts and their ability to solve CT problems. In a mixed-reality learning environment, students mapped CT concepts, such as sequencing and loops, onto their bodily movements. These movements were later applied to robot…