This article describes the development of the Precalculus Concept Assessment (PCA) instrument, a 25-item multiple-choice exam. The reasoning abilities and understandings central to precalculus and foundational for beginning calculus were identified and characterized in a series of research studies and are articulated in the PCA Taxonomy. These…

Figurative language, such as metaphor and metonymy are common in our daily communication. This is one of the first studies to investigate metaphor and metonymy comprehension using a developmental approach. Forty-five typically developing individuals participated in a metaphor-metonymy verbal comprehension task incorporating 20 short…

We conducted three experiments to study the role of instrumental (e.g. "knife-bread") and categorical (e.g. "cake-bread") relations in the development of conceptual organization with a priming paradigm, by varying the nature of the task (naming--Experiment 1--or categorical decision--Experiments 2 and 3). The participants were 5-, 7- and…

This study investigated whether instruction that involves comparing the equal sign with other relational symbols is more effective at imparting a relational interpretation of the equal sign than instruction about the equal sign alone. Third- and fourth-grade students in a comparing symbols group learned about the greater than, less than, and equal…

Investigations of people's understanding of the evolution of species have focused mainly on secondary school and university students. Very few investigations have taken into consideration younger students, and none have related children's ideas about the origin of species to formal instruction on this topic. To help fill this gap, the present…

Previous research on children's conceptual and procedural understanding of fractions, and other arithmetic skills, has led to contradictory conclusions. Some research suggests that children learn conceptual knowledge before procedural knowledge, some suggests that they learn procedural knowledge before conceptual knowledge, and other research…

This article considers the social problem of violence and the alternative of resolution through cooperation and compassion from the perspective of cognitive neuroscience. Violence is a social problem, the manifestations of which have a biological basis reflected in the development of aggression and the neural mechanisms that regulate it.…

Students often hold misconceptions that conflict with scientific explanations. Research has shown that refutation texts are effective for facilitating conceptual change in these cases (Guzzetti, Snyder, Glass, & Gamas, 1993). The process through which refutation texts have their effect is not clear. The authors replicated and extended previous…

The embodied cognition approach to the study of the mind proposes that higher order mental processes such as concept formation and language are essentially based on perceptual and motor processes. Contrary to the classical approach in cognitive science, in which concepts are viewed as amodal, arbitrary symbols, embodied semantics argues that…

In daily activities, humans must attend and respond to a range of important items and inhibit and not respond to unimportant distractions. Our current understanding of these processes is largely based on perceptually simple stimuli. This study investigates the interaction of conceptual-semantic categorization and inhibitory processing using Event…

One hundred forty typically developing 5- to 12-year-old children were assessed with a test of advanced theory of mind employing Happe's strange stories. There was no significant difference in performance between boys and girls. The stories discriminated performance across the different ages with the lowest performance being in the younger…

This study explored whether adding a haptic interface (that provides users with somatosensory information about virtual objects by force and tactile feedback) to a three-dimensional (3D) chemical model enhanced students' understanding of complex molecular interactions. Two modes of the model were compared in a between-groups pre- and posttest…

This article explores 11- to 16-year-old students' explanations for phenomena commonly studied in school chemistry from an inclusive cognitive resources or knowledge-in-pieces perspective that considers that student utterances may reflect the activation of knowledge elements at a range of levels of explicitness. We report 5 themes in student…

Embodied views of cognition propose that concepts are grounded in sensorimotor experience. Diverse aspects of sensorimotor experience, like action and context information, could play a key role in the formation and processing of manipulable object concepts. Specifically, contextual information could help to link specific actions experienced with…

The current study evaluated the relative roles of conceptual knowledge and executive control on the development of "categorical flexibility," the ability to switch between simultaneously available but conflicting categorical representations of an object. Experiment 1 assessed conceptual knowledge and executive control together; Experiment 2…