Background: Spatial skills have been linked to better performance in mathematics. Aim The purpose of this study was to examine the relationship between teacher spatial skills and their instruction, including teacher content and pedagogical knowledge, use of pictorial representations, and use of gestures during geometry instruction. Sample:…

Awareness of one's own strengths and weaknesses during visualisation is often initiated by the imagination -- the faculty for intuitively visualising and modelling an object. Towards exploring the role of metacognitive awareness and imagination in facilitating visualisation in solving a mathematics task, four secondary schools in the North West…

Although the psychological literature has demonstrated that spatial reasoning and mathematics performance are correlated, there is scant research on these relationships in the middle years. The current study examined the commonalities and differences in students' performance on instruments that measured three spatial reasoning constructs and two…

The purpose of this quasi-experimental study is to examine whether attention cueing benefits learners of ancient Egyptian culture using mobile-assisted instrumentation. A self-regulatory, mobile phone based set of visualizations depicting ancient Egyptian culture served as the primary instrument. A total of 50 learners of English as a foreign…

This work examines how a better understanding of visual perception and attention can impact visualization design. In a collection of studies, I explore how different levels of the visual system can measurably affect a variety of visualization metrics. The results show that expert preference, user performance, and even computational performance are…

Anatomy is a foundational component of biological sciences and medical education and is important for a variety of clinical tasks. To augment current curriculum and improve students' spatial knowledge of anatomy, many educators, anatomists, and researchers use three-dimensional (3D) visualization technologies. This article reviews 3D display…

This case study contrasts the strategies used by two students in solving bilateral symmetry and reflection tasks, based on the differential properties they attended to. The ninth grader focussed on congruence of sides as the main property of reflection whereas the eighth grader focussed on perpendicularity and equi-distance, as is the normative…

In many situations people need to mentally adopt the (spatial) perspective of other persons, an ability that is referred to as "Level 2 perspective taking." Its underlying processes have been ascribed to mental self-rotation that can be dissociated from mental object-rotation. Recent findings suggest that perspective taking/self-rotation…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

Doctoral students experience many challenges on the long journey towards completion. Common problems include: synthesising data, working at a conceptual level, clarifying the relationship of the parts of the thesis to the whole, finding a voice and completing a viva successfully. Few authors have addressed the use of visualisations to meet these…

This article reports on an investigation with first year undergraduate Product Design and Management students within a School of Engineering and Applied Science. The students at the time of this investigation had studied fundamental engineering science and mathematics for one semester. The students were given an open ended, ill-formed problem…

This study investigated potential gender differences in a sample of 807 Year 6 Singaporean students in relation to two variables: spatial visualisation ability and cognitive style. In contrast to the general trend, overall there were no significant gender differences on spatial visualisation ability. However, gender differences were prevalent…

The purpose of the study was to investigate the effects of imagination and learner-generated drawing on comprehension, reading time, cognitive load, and eye movements, and whether prior knowledge moderated the effects of these two strategies. Sixty-three undergraduate students participated in a pretest-posttest between-subjects study with the…

The increasing availability of self-monitoring technologies has created opportunities for gaining ­awareness about one's own behavior and reflecting on it. In teaching and learning, there is interest in using ­self-monitoring technologies, but very few studies have explored the possibilities. In this paper, we present a design study that…

The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and…