Humans routinely use external thinking tools, like pencil and paper, maps, and calculators, to solve cognitive problems that would have once been solved internally. As many youth face unprecedented exposure to increasingly capable technological aids, there is a growing pressure to understand children's cognitive offloading capacities and…

The goal of this article is to propose a framework for understanding the nature of "how people construct problems" by interacting with situations and subsequently to offer implications for instructional design and future research. We propose that people must interactively frame the components of a situation in order to establish the…

Research into mathematics education at university level includes a wide range of theoretical approaches. This poses considerable challenges to researchers in terms of understanding and harmonizing the compatibility and commensurability of those approaches. The research community has already problematised and studied these challenges using…

This study investigates the efficiency of "segmented ludicization" in language learning, i.e., the method considering learners' cognitive processing in ludicized learning experiences. This method transforms traditional didactic environments into playable procedures involving intervals for learners' knowledge digestions and retrievals.…

Modelling roles of mathematics in physics has proved to be a difficult task, with previous models of the interplay between the two disciplines mainly focusing on mathematical modelling and problem solving. However, to convey a realistic view of physics as a field of science to our students, we need to do more than train them to become fluent in…

More than 50 years ago, Bongard introduced 100 visual concept learning problems as a challenge for artificial vision systems. These problems are now known as Bongard problems. Although they are well known in cognitive science and artificial intelligence, only very little progress has been made toward building systems that can solve a substantial…

This paper pushes beyond current debates over what is being called the science of reading to articulate a multidimensional complex conception of what is entailed in reading comprehension. Reading comprehension entails not only cognitive processes, but equally important is how issues of identity along multiple dimensions, perceptions of tasks and…

Functional fixedness involves difficulty with conceptualizing creative object uses. When it obstructs problem-solving, individuals must reframe their approach. We examined how different training techniques--chunk decomposition (i.e., considering an object's basic parts and physical properties) and constraint relaxation (i.e., considering an…

Ensuring trainees develop the flexibility with their knowledge to address novel problems, and to efficiently build upon prior knowledge to learn new knowledge is a common goal in health profession education. How trainees come to develop this capacity to transfer and transform knowledge across contexts can be described by adaptive expertise, which…

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…

Arithmetic word problems are a staple in mathematical curricula yet give individuals of all ages difficulty. Successful word problem solving requires translating the problem into a symbolic arithmetic format. However, the linguistic component may make problem solving more complex and increase cognitive load, specifically the processes that…

The purpose of this article is to introduce collective musical cognition as a mode for developing diagnostic critical thinking in music at all levels of the educational continuum--kindergarten through graduate school. It defines and illustrates how collective musical cognition is influenced by relevance, dialogue, and reflection as social and…

How can a student experience what happens in the mind of a mathematician while solving a problem? In this paper we discuss a theoretical design of an educational script, based on digital interactive storytelling. Parallel to Docter's 'Inside Out', the cognitive functions occurring in problem solving become characters of a story-problem. Students…

Many theories and models describe the various cognitive processes individuals engage in as they solve ill-structured problems. While diverse in perspectives, these theories and models uniformly agree that essential aspects of complex problem solving include iteration and inquiry. This paper further argues that an important yet overlooked component…

Recognising the importance of developing creativity in education, the Programme for International Student Assessment (PISA) included an assessment of creative thinking for the first time in its 2022 cycle -- with the results summarised in the PISA 2022 Results (Volume III) report. While that report focused on comparing countries' performance on…