STEM education (based on the integration of the science, technology, engineering and mathematics disciplines) has recently been an integral part of education system and curriculum in many countries aiming to be more technologically competitive in this age of innovation. While the importance of STEM education has gradually increasing in education…

Multiple external representations (MERs) are central to the practice and learning of science, mathematics and engineering, as the phenomena and entities investigated and controlled in these domains are often not available for perception and action. MERs therefore play a twofold constitutive role in reasoning in these domains. Firstly, MERs stand…

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…

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…

The "cyberinfrastucture" is a broad informational network that entails connections to real-time data sensors as well as tools that permit visualization and other forms of analysis, and that facilitates access to vast scientific databases. This multifaceted network, already a major boon to scientific discovery, now shows exceptional promise in…

Traces a student's use of different types of imagery over an extended period of time in order to determine why the student seldom used imagery to solve problems. Concludes that for most of her school life, the student had been able to rely on analytic processing to complete mathematical tasks and could do so quite successfully. (Contains 30…

Presents a case study that aimed to obtain information on students' mathematical comprehension levels and on whether students may or may not make use of visualization processes in solving mathematical problems. Discovers students' beliefs about teaching and learning processes in general, and mathematics in particular. (Contains 25 references.)…

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

One hundred and seven 5th-8th graders were tested on spatial rotation multiple-choice items to determine age and gender differences in spatial ability. Thirty-one of them were subsequently interviewed. They were asked to explain their reasoning when solving 4 of the tested items and a problem-solving task. Features of visual and non-visual…

Defines visualization as the product and the process of creation, interpretation, and reflection upon pictures and images. Analyzes, exemplifies, and reflects upon the many different and rich roles that it can and should play in the learning and doing of mathematics. Discusses limitations and possible sources of difficulties visualization may pose…

Two authors introduce the topic of visualization in mathematics education. Fourteen articles are briefly described. (YP)

Reports a study designed to identify 9 and 11 year olds' ways of drawing nets of solids and to provide opportunities for them to reflect on their models in whole class discussions. Results indicated that children's views of solids' nets progressed from more global and holistic to more quantitative and analytic. (MDH)

Utilizes the psychological and sociocultural components of a constructivist paradigm to provide a detailed analysis of how the cognitive constructions students make as they enumerate 3D arrays of cubes develop and change in an inquiry-based, problem-centered mathematics classroom. Describes the classroom work of three pairs of 5th-grade students…

Describes the Agam program, a 36-unit curriculum program to introduce students to basic visual concepts and that applies visual abilities and visual thinking to learning tasks. Describes two units at the third grade level, "Ratio and Proportion" and "Numerical Intuition," and makes observations of the students' learning. (MDH)