This inquiry presents two fine-grained case studies of students demonstrating different levels of cognitive functioning in relation to bilateral symmetry and reflection. The two students were asked to solve four sets of tasks and articulate their reasoning in task-based interviews. The first participant, Brittany, focused essentially on three…

Children of the Earth High School in Winnipeg, Manitoba, is a school dedicated to incorporating Aboriginal perspectives into all areas of the Manitoba curriculum and is attended by an almost exclusive Aboriginal population. Many of these students come from a First Nations community and are related to others who come from such communities, the…

Currently, instruction pays little attention to the development of students' sampling variability reasoning in relation to statistical inference. In this paper, we briefly discuss the especially designed sampling variability learning experiences students aged about 15 engaged in as part of a research project. We examine assessment and…

This paper presents a new theoretical model of creative imagination and its applications in early education. The model sees creative imagination as composed of three inter-related components: vividness of images, their originality, and the level of transformation of imageries. We explore the theoretical and practical consequences of this new…

Students sometimes struggle with visualizing the three-dimensional solids encountered in certain integral problems in a calculus class. We present a project in which students create solids of revolution with clay on a pottery wheel and estimate the volumes of these objects using Riemann sums. In addition to giving students an opportunity for…

This thesis describes a notation for rapid specification of information visualization, which can be used as a theoretical framework of integrating various types of information visualization, and its applications at a conceptual level. The notation is devised to codify the major characteristics of data/visual structures in conventionally-used…

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…

Students with disabilities often find expressive writing frustrating and difficult. The prospect of writing a well-developed five-paragraph essay can be especially daunting. One reason is that struggling writers may have difficulty conceptualizing how the elements of an effective essay are developed. This article describes an instructional…

Data visualization is a core component of every scientific project; however, generation of physical models previously depended on expensive or labor-intensive molding, sculpting, or laser sintering techniques. Physical models have the advantage of providing not only visual but also tactile modes of inspection, thereby allowing easier visual…

Almost 20 years ago, Cuoco, Goldenberg, and Mark wrote a seminal paper for the "Journal of Mathematical Behavior" entitled "Habits of Mind: An Organizing Principle for Mathematics Curricula" (Cuoco et al., 1996). The article remains as relevant today as when it was originally published. The premise of their paper is that…

Museum educators and instructors of English as a Second Language (ESOL) at a community college in New York reflect on their experiences facilitating a program designed to enrich the language, cultural, and visual literacy skills of adult immigrant students. The CALTA21 program brought together three stakeholders, immigrant ESOL students, language…

This study provides an in-depth look into the implementation process of visualization-based tools for structuring collaborative problem solving (CPS) in the classroom. A visualization-based learning platform--the semantic diagram for structuring CPS in a real classroom was designed and implemented. Metafora, the preliminary vehicle of the semantic…

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…

Non-routine word problem solving is an essential feature of the mathematical development of elementary school students worldwide. Many students experience difficulties in solving these problems due to erroneous problem comprehension. These difficulties could be alleviated by instructing students how to use visual representations that clarify the…

Orchestrating collaborative learning in the classroom involves tasks such as forming learning groups with heterogeneous knowledge and making learners aware of the knowledge differences. However, gathering information on which the formation of appropriate groups and the creation of graphical knowledge representations can be based is very effortful…