This study continues an investigation of how spherical units, compared to cubical units, can facilitate students' units-locating and organizing units in composites. We analyze how Norwegian grade 3 students enumerate 3D arrays with cubical and spherical units. Our results show how spherical units can act as perceptual clues that facilitate…

This article describes how Charles Lovitt found a classroom activity in a resource book and by peering through a pedagogy lens, enhanced, tweaked, adapted, and extended the idea into a richer, healthier, well balanced classroom lesson. The task described in the article is often presented to students as a flash card for a limited time with the…

Previous research has found that different presentations of the same concept can result in different patterns of transfer to isomorphic instances of that concept. Much of this work has framed these effects in terms of advantages and disadvantages of concreteness or abstractness. We note that mathematics is a richly structured field, with deeply…

Previous research has found that different presentations of the same concept can result in different patterns of transfer to isomorphic instances of the same concept. Much of this work has framed these effects in terms of advantages and disadvantages of concreteness or abstractness. We note that mathematics is a richly structured field, with…

Spatial reasoning, which involves "building and manipulating mental representations of two-and three-dimensional objects and perceiving an object from different perspectives" is a critical aspect of geometric thinking and reasoning. Through building, drawing, and analyzing two-and three-dimensional shapes, students develop a foundation…

Spatial abilities help students identify features of various shapes and the relationship that exists among these features. Being able to mentally manipulate images and tell what those images represent are important spatial skills. Research has highlighted the relationship between mathematics performance and spatial abilities. This article's…

This study investigated the role of strategy instruction on solution accuracy in children with and without serious math difficulties (MD) in problem solving. Children's posttest solution accuracy was compared on standardized and experimental measures as a function of strategy conditions. Strategy conditions included curriculum materials that…

The objective of this study was to investigate and characterize the geometric thinking and understanding of four pre-service middle and secondary mathematics teachers while considering their spatial ability levels. To investigate the differences, if any, that existed among these pre-service middle and secondary teachers with different spatial…

In working with right-brained or visual spatial children for the past 20 years, the author has noticed that they all learn in a similar manner. He has also noticed that a high percentage of gifted children are visual spatial learners. The more visual spatial a child is, the higher the potential for school difficulties. Since most teachers are…

Three experiments examined the ability of 4- and 5-year- olds and adults to identify correspondences in spatial ratios. Results suggested that young children made accurate spatial proportionality judgments based on relational information and not on the exact form of the stimuli. Findings pose implications for theories of mathematical development…