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…

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…

Humans routinely make inductive generalizations about unobserved features of objects. Previous accounts of inductive reasoning often focus on inferences about a single object or feature: accounts of causal reasoning often focus on a single object with one or more unobserved features, and accounts of property induction often focus on a single…

A group theory course for chemists was taught entirely with process oriented guided inquiry learning (POGIL) to facilitate alternative strategies for learning. Students completed a test of one aspect of visuospatial aptitude to determine their individual approaches to solving spatial tasks, and were sorted into groups for analysis on the basis of…

This article is concerned with how computer science, and more exactly computational complexity theory, can inform cognitive science. In particular, we suggest factors to be taken into account when investigating how people deal with computational hardness. This discussion will address the two upper levels of Marr's Level Theory: the computational…

The contribution of the three core components of working memory (WM) to the development of mathematical skills in young children is poorly understood. The relation between specific WM components and Numerical Operations, which emphasize computation and fact retrieval, and Mathematical Reasoning, which emphasizes verbal problem solving abilities in…

This study investigated the relationship between 3 ability-based cognitive styles (verbal deductive, spatial imagery, and object imagery) and performance on geometry problems that provided different types of clues. The purpose was to determine whether students with a specific cognitive style outperformed other students, when the geometry problems…

Empirical data suggest that there is at most a very small sex difference in general mental ability, but men clearly perform better on visuospatial tasks while women clearly perform better on tests of verbal usage and perceptual speed. In this study, we integrated these overall findings with predictions based on the Verbal-Perceptual-Rotation (VPR)…

We investigated the effects of transparent fraction names on children's reasoning about fractions. U.S. and Korean first and second graders were tested using verbal and nonverbal measures. On a verbal task, Korean students were worse at interpreting their own conventional fraction names than interpreting modified terms with a more familiar word…

The role of visual-spatial operations in nonroutine mathematical problem solving in schoolchildren is investigated through a search of related literature. It is suggested that certain visual-spatial operations are concomitant with the mental processes necessary in problem solving. The following topics are discussed: (1) the importance of problem…

A study was conducted to determine whether chess instruction would change the measure of a student's field-dependence or field-independence as determined by the Group Embedded Figures Test (GEFT) in the direction of stronger field independence. Field dependence/independence is a psychological construct referring to a global versus an analytical…

Gender differences in level and pattern of cognitive abilities were examined in 49 learning-disabled college students. Females were stronger in visual-motor abilities and verbal conceptualization, whereas the males' highest abilities were nonverbal visual-spatial. Both groups showed weaknesses in memory for digits and factual knowledge and in…