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…

Spatial thinking permeates much of our lives and is an asset when solving problems involving well-structured visual information or imagining solutions in physical or digital space. However, an estimated three million US school children have spatial talents that go unrecognized because of the tools commonly used for identification of academic…

Spatial thinking permeates much of our lives and is an asset when solving problems involving well-structured visual information or imagining solutions in physical or digital space. However, an estimated three million US school children have spatial talents that go unrecognized because of the tools commonly used for identification of academic…

In recent years, the emphasis on computational thinking (CT) has intensified as an effect of accelerated digitalisation. While most researchers are concentrating on defining CT and developing tools for its instruction and assessment, we focus on the characteristics of computational thinking problems (CTPs) -- activities requiring CT to be…

Since Bruner's introduction of discovery learning in the 1960s, there has been an ongoing and intensive debate on the value of inductive teaching methods (e.g., problem-solving followed by instruction, such as in problem-based learning and productive failure) compared to deductive teaching methods (instruction followed by problem-solving, such as…

Tentativeness is often framed as a deficit, synonymous with timidity or a lack of confidence. In this article, I situate the notion of tentativeness in an enactivist framework and describe its role as both a strategy and affordance in a spatial visualization exercise. Drawing on insights from mathematics education and ecological psychology, I…

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…

Measurement concepts such as volume and surface area provide rich contexts for real-world applications of number processes. Despite their importance, many students and prospective teachers show superficial understanding of measurement concepts. A lack of spatial reasoning and integration of geometric knowledge in problem solving situations may be…

This article explores the advantages of viewing intelligence not as a fixed trait residing within an individual, but rather as a person × task × situation interaction. The emphasis in the article is on the role of persons solving tasks embedded in situations involving learning, intellectual abilities, and competencies. The article opens with a…

Because deficits in executive functions (EFs) characterize most neurodevelopmental disorders, it is appropriate to question the value of EFs for understanding learning disabilities. Two types of studies--those testing whether EFs moderate treatment effects and those testing the direction of effects between EFs and academic skills--are presented to…

An assessment of graphic literacy was developed by articulating and subsequently validating a skills-based cognitive model intended to substantiate the plausibility of score interpretations. Model validation involved use of multiple sources of evidence derived from large-scale field testing and cognitive labs studies. Data from large-scale field…

Models of creative problem solving are predicated upon mental states to explain everything from the outcome of problem-solving experiments to the emergence of artistic creativity. We present two converging perspectives that describe a profoundly different ontological description of creativity. Our analysis proceeds from a distinction between…

Research has demonstrated strong relations between spatial skill and mathematics across ages and in both typical and atypical populations, suggesting that a significant proportion of variance in mathematics performance can be explained by variance in spatial skill. Why do these relations exist and how do they develop? Studies of dimensionality in…

Solving word problems is challenging in elementary schools, both for the teacher in teaching students to solve word problems and for the student in learning to solve them. This paper examines how the ideas of learning trajectory and variation pedagogy could be integrated as an instructional principle for teaching this content in the context of…

The last 15 years have witnessed a quiet revolution in the understanding of spatial skills, and the authors are finding that these all-important science, technology, engineering, and math (STEM) competencies are rooted in spatial knowledge. Spatial skills are the tools use to visualize and navigate the world. Spatial skills allows people to…