Interprets the philosophical concept of warrant in a mathematics education context and applies it to two central questions: (1) in what sense does mathematical proof warrant?; and (2) can there be warrants for mathematical knowledge other then deductive proofs? (Contains 36 references.) (Author/ASK)

Examined the judgement of rectangular areas in young children who are blind from birth. Subjects were eight children ranging from six to eight years old. Their gestural strategies were examined in detail when placed in an area evaluation situation. Results indicated that acquisition of information concerning figures appeared to follow a fairly…

Six abilities derived from the fluid and crystallized intelligence theory of J. L. Horn were studied with 1,193 individuals in age groups between 15 and 94 years. Results supported Horn's classification of crystallized and quantitative as maintained abilities and of fluid and broad visualization as vulnerable abilities. (SLD)

College students (n=32) in their first abstract algebra course were asked to list elements and find the product of 2 elements in the dihedral group D4. Most students found solutions using a combination of visual approaches and analytic strategies. Proposes an alternative model, the Visualizer/Analyzer model, which assumes visualization and…

Discussion of visualization for information retrieval, that transforms unseen internal semantic representation of a document collection into visible geometric displays, focuses on DARE (Distance Angle Retrieval Environment). Highlights include expression of information need; interpretation and manipulation of information retrieval models; ranking…

Describes visualization tools such as VRML, Tool Command Language, iPIX, QuickTIme, and Synchronized Multimedia Integration Language, which are increasingly used in manufacturing. Discusses their uses in technology education. (SK)

Describes hypermedia-based learning resources, especially those on the World Wide Web, and suggests providing learners with reflection support to guide them to successful knowledge construction during exploration in hyperspace. Discusses knowledge-structure visualization, which models the exploration process. (LRW)

Studies the effectiveness of adding coordinate axes to mental rotations tasks. Assesses the effect of the coordinate axes, the effect of pretest sensitization, and interaction between the pretest and posttest conditions. (Author/CCM)

While exploring the subject of geometric proofs, boolean logic operators AND and OR can be used to allow students to visualize their true-or-false patterns. An activity in the form of constructing electrical circuits is illustrated to explain the concept.

Persistence of Vision Raytracer (POV-Ray), a free computer program for creating photo-realistic, three-dimensional scenes and a link for Mathematica users interested in generating POV-Ray files from within Mathematica, is discussed. POV-Ray has great potential in secondary mathematics classrooms and helps in strengthening students' visualization…

There are different ways of exploring and examining the visual medium in the service and disservice of education. A discursive form rather than a visual medium is chosen in this attempt. Utilizing the conceptualizations of Suzanne Langer, Christine Nystrom observed that American symbolic environments have undergone a massive shift from discursive…

An action research study was conducted using the Rainbow Dots strategy to evaluate its effectiveness on reading comprehension skills in a third-grade class with students both with and without a specific learning disability. Results of the study indicated that students' overall performances in reading comprehension have increased. Students also…

According to the National Council of Teachers of Mathematics (NCTM) (1989, 2000), students at all levels should be exposed to geometry and measurement topics. Standards documents have identified the importance of primary school students selecting appropriate units for measurements in one- and two-dimensional space (NCTM 1989, 2000). This paper…

A simple interface between VPython and Microsoft (MS) Office products such as Word and Excel, controlled by Visual Basic for Applications, is described. The interface allows the preparation of content-rich, interactive learning environments by taking advantage of the three-dimensional (3D) visualization capabilities of VPython and the GUI…

This paper reports the findings from an experimental study involving thirty three secondary school students (mean age = 15.5 years) in spatial visualization (SV) training through an interactive desktop virtual environment spatial trainer (iDVEST). Stratified random sampling was used to assign students into two experimental groups and one control…