Dealing with uncertainty is a critical part of human decision-making and confidence reflects one's belief about the relative likelihood that various outcomes occur when making decision under uncertainty. Unfortunately, confidence often deviates from the actual quality of the decision, leading to under- or over-confidence. Calibration, the…

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…

Five experiments demonstrate that when dots appear beside a briefly presented target object, and persist on view longer than the target, the flanked object is perceptually altered by the dots. Three methods are used to explore this "object trimming effect". Experiments 1-3 assess participants' conscious reports of trimmed digits, Experiment 4 uses…

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,…

To increase communication and collaboration opportunities, members of a community must be aware of the social networks that exist within that community. This paper describes a social network monitoring system--the KIWI system--that enables users to register their interactions and visualize their social networks. The system was implemented in a…

This study examines the effectiveness of five spelling strategies used to teach junior secondary school students with dyslexia. Participants were 30 secondary school teachers in Hong Kong. The teachers commented on five spelling strategies: the phonological strategy, an integration of phonological and orthographical strategies, the rule-based…

The purpose of the current study was to examine if preservice teachers' (PSTs) mathematics anxiety decreased and if their beliefs and stereotypes changed after they completed their early childhood mathematics methods course. It was hypothesized that by using and modeling concrete materials or manipulatives (Thompson, 1992; Vinson, 2001) and…

Gifted students with spatial strengths have areas of remarkable talent but are often overlooked, underidentified, and underserved in American schools. Their preference for learning through imagistic reasoning conflicts with traditional verbal instructional techniques typically used in schools. To better serve these students who have the potential…

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…

Proving in school geometry is not just about validating the truth of a claim. In the school setting, the main function of the proof is to convince someone that a claim is true by providing an explanation. Students consider proving to be difficult; in fact, they find the very concept of proof demanding. Proving a claim in planar geometry involves…

The teaching of 3D digital game design requires the development of students' meta-skills, from story creativity to 3D model construction, and even the visualization process in design thinking. The characteristics a good game designer should possess have been identified as including redesign things, creativity thinking and the ability to…