Beth M. Casey

The Development of Spatial Skills Through Interventions Involving Block Building Activities

This study investigated the use of block-building interventions to develop spatial-reasoning skills in kindergartners. Two intervention conditions and a control condition were included to determine, first, whether the block building activities themselves benefited childrens spatial skills, and secondly, whether a story context further improved learning. Spatial measures included: spatial visualization, mental rotation, and block building. Results showed: for block building, interventions within a story context improved performance compared to the other two conditions. For spatial visualization, both types of block-building interventions improved performance compared to the control condition. Findings suggest: (1) storytelling provides an effective context for teaching spatial content, (2) teaching block building develops wider spatial skills, and (3) 3-dimensional mental rotation tasks show a male advantage in kindergartners.

Measurement skills in low-income elementary school students: Exploring the nature of gender differences

In this research, we examined overall performance and gender differences in measurement skills in elementary-school students from low-income families. In Study 1, accuracy and error patterns were analyzed in a large sample of fourth-graders; in Study 2 error patterns and strategy usage were examined with a smaller sample of fourth-graders. Study 1 showed no main effect of gender on students’ performance. Instead, as predicted, the direction of gender difference varied as a function of problem type: boys outperformed girls on spatial/conceptual measurement, whereas girls outperformed boys on formula-based measurement, as well as on a test of computation skills. Study 2 revealed both similarities and differences in the way boys and girls approached measurement problems. Girls appeared to have specific difficulty with spatial/conceptual problems where objects and measurement units were not pictorially presented. When recording their solutions, girls generally wrote down calculations while boys made drawings. Overall, the students performed poorly in measurement; strategy analysis allowed for examination of common weaknesses, indicating possible ways of improving performance of underserved groups.

Examination of the Psychometric Properties of the Measurement Skills Assessment.

This article introduces the Measurement Skills Assessment (MeSA), which was designed to evaluate the mastery of measurement in elementary school students. The primary objectives for the MeSA include covering a broad range of measurement concepts, distinguishing between major subtypes of measurement, and constructing a continuum of items varying in complexity. This article investigates the psychometric properties of scores from this new test. A series of principal components analyses helps distinguish between two major categories of measurement items—those tapping formula-based/ analytical skills and those tapping spatial/conceptual skills. Rasch analysis provides evidence for the existence of a unidimensional structure of item complexity within each measurement category. The MeSA can be used by psychologists and educators to determine which aspects of measurement present the greatest difficulties for individuals as well as groups of children and to evaluate the effectiveness of different instructional approaches.

Girls’ Spatial Skills and Arithmetic Strategies in First Grade as Predictors of Fifth-Grade Analytical Math Reasoning

ABSTRACT This study investigated longitudinal pathways leading from early spatial skills in first-grade girls to their fifth-grade analytical math reasoning abilities (N = 138). First-grade assessments included spatial skills, verbal skills, addition/subtraction skills, and frequency of choice of a decomposition or retrieval strategy on the addition/subtraction problems. In fifth grade, girls were given an arithmetic fluency test, a mental rotation spatial task, and a numeric and algebra math reasoning test. Using structural equation modeling, the estimated path model accounted for 87% of the variance in math reasoning. First-grade spatial skills had a direct pathway to fifth-grade math reasoning as well as an indirect pathway through first-grade decomposition strategy use. The total effect of first-grade spatial skills was significantly higher in predicting fifth-grade math reasoning than all other predictors. First-grade decomposition strategy use had the second strongest total effect, while retrieval strategy use did not predict fifth-grade math reasoning. It was first-grade spatial skills (not fifth-grade) that directly predicted fifth-grade math reasoning. Consequently, the results support the importance of early spatial skills in predicting later math. As expected, decomposition strategy use in first grade was linked to fifth-grade math reasoning indirectly through first-grade arithmetic accuracy and fifth-grade arithmetic fluency. However, frequency of first-grade decomposition use also showed a direct pathway to fifth-grade arithmetic reasoning, again stressing the importance of these early cognitive processes on later math reasoning.

How Children Determine the Size of 3D Structures: Investigating Factors Influencing Strategy Choice

This study explores changes in students’ strategies as they solve different types of volume problems. Fifth graders were presented with pictures showing 3D objects and a unit cube; they determined how many cubes made up the object and explained their responses. We examined whether children transferred strategies across problem types, varying in terms of (a) availability of grids that divided objects into individual unit cubes, (b) order of items, (c) object shape, and (d) availability of the unit cube. Childrens strategy choices varied systematically with object and task characteristics. They were more likely to use conceptually appropriate strategies when presented with grids. With non-gridded objects, they were more likely to treat a 3D object as a collection of 2D faces. Presenting gridded items first increased the use of conceptually appropriate strategies on the non-gridded items. We discuss findings in the context of Sieglers theory of strategy choice and address educational implications.