This study examined how small groups of second-grade children developed understandings of the concept of congruence while collaboratively exploring and solving problems with dynamic representations of triangles using Sketchpad on the iPad. One case study is presented to illustrate how young learners can infer geometrical relationships between…

Spatial reasoning--the ability to visualise and play with shapes in one's mind--is essential in many fields, and crucial in any Science, Technology, Engineering, Mathematics [STEM] discipline. It is, for example, the ability that the engineer needs to build bridges; the chemist to see the three-dimensional structure of a molecule; the architect to…

By 3 years of age, children can solve tasks involving physical principles such as locating a ball that rolled down a ramp behind an occluder by the position of a partially visible solid wall (Berthier, DeBlois, Poirer, Novak, & Clifton, 2000; Hood, Carey, & Prasada, 2000). However, the extent to which children use physical information (the…

Girls are more likely than boys to use counting strategies rather than higher-level mental strategies to solve arithmetic problems. Prior research suggests that dependence on counting strategies may have negative implications for girls' later math achievement. We investigated the relation between first-grade girls' verbal and spatial skills and…

Word problems about motion contain various conjugated verb forms. As students and teachers grapple with such word problems, they jointly operationalize diagrams, gestures, and language. Drawing on findings from a 3-year research project examining the social semiotics of classroom interaction, we show how teachers and students use gesture and…

In organic chemistry, spatial reasoning is critical for reasoning about spatial relationships in three dimensions and representing spatial information in diagrams. Despite its importance, little is known about the underlying cognitive components of spatial reasoning and the strategies that students employ to solve spatial problems in organic…

Artificial satellites are easily observed most nights when the weather is fine. The website called "Heavens Above" at www.heavens-above.com will help locate these satellites flying over one's location. It also includes how bright they will appear. The direction of travel of each satellite in the night sky also indicates the type of satellite. For…

This study compares Singaporean Grade 6 students' performance and strategy preference on two graphic-rich mathematics tasks, presented via pencil-and-paper and iPad modes. There were statistically significant differences between students' performances on the two tasks, one in favour of the paper mode and the other in favour of the iPad. Students…

This proposal reports the findings from interviews with construction science students about their visualization of problems in a two-dimensional and a three-dimensional task. The specific research questions focused on the individual characteristics that students identify as influencing their spatial ability to generate internal and external…

Process diagrams are important tools in biology for explaining processes such as protein synthesis, compound cycles and the like. The aim of the present study was to measure the ability to solve process-diagram problems in biology and its relationship with prior knowledge, spatial ability and working memory. For this purpose, we developed a test…

Introduction: Scientific and technological areas include tuition based on highly visuo-spatial specialization and problem solving. Spatial skills and problem solving are embedded in a curriculum that promotes understanding of Science and technical subjects. These abilities are related to the development of executive functions (EFs). We aim to…

Poor spatial ability can limit success in science, technology, engineering, and mathematics (STEM) disciplines. Many initiatives aim to increase STEM achievement and degree attainment through selective recruitment of high-spatial students or targeted training to improve spatial ability. The current study examines an alternative approach to…

This paper conceptualizes spatial literacy as consisting of three overlapping domains: visualization, reasoning, and communication. By considering these domains, this study explores different aspects of spatial literacy to better understand how a group of mathematics teachers reasoned about spatial tasks. Seventy-five preservice and inservice…

Mental-rotation ability modestly predicts chemistry achievement. As such, sex differences in mental-rotation ability have been implicated as a causal factor that can explain sex differences in chemistry achievement and degree attainment. Although there is a correlation between mental-rotation ability and chemistry achievement, laboratory and field…

This paper describes Singapore and Australian Grade 6 students' (n=1,187) performance on a symmetry task in a recently developed Mathematics Processing Instrument (MPI). The MPI comprised tasks sourced from Australia and Singapore's national assessments, NAPLAN and PSLE. Only half of the cohort solved the item successfully. It is possible that…