Advances in computer graphics have provided mathematicians with the ability to create stunning visualizations, both to gain insight and to help demonstrate the beauty of mathematics to others. As educators these tools can be particularly important as we search for ways to work with students raised with constant visual stimulation, from video games…

The ability to understand a speaker's or author's worldview better, whether an openly espoused ideology or one veiled and deeply hidden, should help students hone their critical thinking skills. This article describes an activity which attempts to do just that by applying new data visualization methods to a rhetorical artifact and examining the…

Visualization is the art of turning information--concepts, processes, events, structures, and trends--into images that support our understanding. Carter Emmart is a visualizer of science. He is the director of astrovisualization for the American Museum of Natural History (AMNH). In this interview, Emmart describes what it is like to be a…

The author discusses four specific strategies for enhancing and supporting the spatial aspects of the science, mathematics, and social studies curricula. However, these four strategies are examples of what can be done, not an exhaustive list. The overarching concept is to embrace the spatial visualizations used for discovery and communication in…

This paper proposes an extension to mobile augmented reality (MAR) environments--the addition of data charts to the more usual text, image and video components. To this purpose, we have designed a client-server architecture including the main necessary modules and services to provide an Information Visualization MAR experience. The server side…

Professors who teach the introductory accounting course should ask themselves: "What are the core concepts that I wish to have my non-majors remember if I meet them at their ten-year alumni class reunion?" There is a fundamental logic to financial accounting. This teaching note presents foundational accounting concepts in a manner that…

The greatest difficulty that is encountered by students in thermodynamics classes is to find relationships between variables and to solve a total differential equation that relates one thermodynamic state variable to two mutually independent state variables. Rules of differentiation, including the total differential and the cyclic rule, are…

Teachers' perception filter operates in all realms of their consciousness. It plays an important part in what and how students learn and should play a central role in what and how they teach. This may be obvious, but having a visual model of a perception filter can guide the way they think about education. In this article, the author talks about…

Instructors are always looking for new ways to engage students in reading assignments. The authors present a few techniques that rely on a web-based data visualization tool called Wordle (wordle.net). Wordle creates word frequency representations called word clouds. The larger a word appears within a cloud, the more frequently it occurs within a…

Modeled in this column is the teaching of a text mapping routine that supports students reading and remembering the salient features of the text. The authors renamed the story mapping technique "text mapping plus" because they found that as students added relational words and graphics to their maps their retells of both fiction and nonnarrative…

A well-documented experience of students of elementary Euclidean geometry is "seeing" a geometric result and being sure about its truth; this sort of experience gives rise to the notion of geometrical visualisation that is developed here. In this essay a philosophical argument for the epistemic potential of geometrical visualisation is reviewed,…

Generations have been inspired by Edwin A. Abbott's profound tour of the dimensions in his novella "Flatland: A Romance of Many Dimensions" (1884). This well-known satire is the story of a flat land inhabited by geometric shapes trying to navigate the subtleties of their geometric, social, and political positions. In this article, the authors…

In this article, the author features "Flatland," by Edwin Abbott, a fantastic story about a square who lives in a two-dimensional world and who receives a visitor from the third dimension. Written in 1884 by a teacher-theologian who dabbled in mathematics, the novel is full of rich themes, including social class structure, the treatment of people…

A hands-on activity can help multivariable calculus students visualize surfaces and understand volume estimation. This activity can be extended to include the concepts of Fubini's Theorem and the visualization of the curves resulting from cross-sections of the surface. This activity uses students as pillars and a sheet or tablecloth for the…

This study leads the reader on a learning journey with the heroic metaphors derived from heroic myths of today's pop culture to the views shared by aspiring administrators. Viewing the students' leadership vision of self as hero provided insight to guiding students in their personal leadership journey. By naming and describing self as hero, future…