At the highest level, this dissertation is a case study on how bias can become encoded into the tools used to measure a construct and into the very definition of the construct itself. In this case, the construct is spatial ability. This dissertation focuses on the validity and accuracy of spatial tests and illuminates gender bias that is…

The author offers practical strategies to introduce and maintain a mindfulness practice with middle-grade students and discusses ethical implications of employing mindfulness in the classroom.

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

We consider here a number of ideas for the classroom or lecture theatre associated with the mensuration of solids. In particular, the volumes of various tetrahedra are obtained in an indirect manner (by way of prisms and square-based pyramids). This activity develops problem-solving skills, spatial visualization and a from-first-principles…

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…

Novel trends and innovations have enhanced contemporary educational environments. When applied properly, these computing advances can create enriched learning opportunities for students. "Mobile Technologies and Augmented Reality in Open Education" is a pivotal reference source for the latest academic research on the integration of…

Tracy Logan and Tom Lowrie argue that while little attention is given to visual imagery and spatial reasoning within the Australian Curriculum, a significant proportion of National Assessment Program--Literacy and Numeracy (NAPLAN) tasks require high levels of visuospatial reasoning. This article includes teaching ideas to promote visuospatial…

External representations (ERs), such as diagrams, animations, and dynamic models are vital tools for communicating and constructing knowledge in biochemistry. To build a meaningful understanding of structure, function, and process, it is essential that students become visually literate by mastering key cognitive skills that are essential for…

Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…

Middle and High school students of the twenty-first century possess surprising powers of spatial reasoning. They are assisted by technologies not available to earlier generations. Both of these assertions are demonstrated by students who are challenged with George Polya's classic Five Planes Problem. (Contains 5 figures.)

Examines recent data on sex-related differences in science and mathematics achievement, discussing meta-analyses findings on attitudes, career choice, life/physical science preferences, and motivation. Indicates that spatial visualization appears to be very important and that girls more often attribute success to luck rather than skill. (DH)

As well as being important for school mathematics, spatial thinking is a big component of advanced mathematical studies too. As Jones (2001:55) points out, "Much of the thinking that is required in higher mathematics is spatial in nature. Einstein's comments on thinking in images are well known. Numerous mathematicians report using spatial…

According to Farrell and Kotrlik (2003), educators can become more effective teachers by assessing their students' preferred learning styles. This assessment can help in planning the curriculum and in selecting appropriate instructional methods. Thus, research is needed to determine if there is a link between students' learning styles and their…

Describes five skills underpinning the understanding of geometry for primary and lower secondary mathematics students. Skill categories identified include (1) visual; (2) verbal; (3) drawing; (4) logical; and (5) application. Gives examples of skills appropriate for Van Hiele levels 1-3. (MDH)

Interdisciplinary approaches to instruction are generally dominated by linearity, with an emphasis on linear progressive time. A more productive approach is the development of spatial constructs that provide a more directly visual approach to thought and discussion. The study of languages and cultures will be more effective if students are given…