Spatial reasoning is identified as a Numeracy general capability in the Australian Curriculum, and more globally as a significant precursor to mathematics proficiency. Currently, the literature surrounding mathematical-spatial relations remains largely removed from classroom practice. This paper provides a reflection on the spatial cognition field…

A discussion of the papers, "Representation, Vision and Visualization: Cognitive Functions in Mathematical Thinking. Basic Issues for Learning" (Raymond Duval) and "On the Development of Human Representational Competence from an Evolutionary Point of View: From Episodic to Virtual Culture" (James J. Kaput), is presented. Kaput…

Via computational media, humans are entering a fifth stage of cognitive development leading to a virtual culture. This culture is seen as replacing the writing-based theoretic culture. Background information about the first four stages of mental evolution or cognitive development is provided. It is suggested that the evolutionary perspective needs…

This paper contains the comments of a discussant reviewing the paper, "The Role of Visual Representations in the Learning of Mathematics" (Abraham Arcavi). A research-based evaluation is made that focuses on the ideas of stochastics and the epistemological triangle. (Contains 28 references.) (DDR)

This project description is designed to show how graphing calculators and calculator-based laboratories (CBL) can be used to explore topics in the physics of sound. The activities address topics such as sound waves, musical notes, and chords. Teaching notes, calculator instructions, and blackline masters are included. (MM)

As biological and socio-cultural beings, humans are encouraged and aspire to "see" not only what comes "within sight," but also what is not possible to see. Visualization is described as offering a method of seeing the unseen. These ideas are organized into sections that focus on seeing the unseen in data, seeing the unseen in…

Arguing that females need instruction in visuo-spatial skills before adolescence, when they begin to lag behind males in the development of these skills that are so strongly correlated with success in technical careers, this paper discusses the use of the three-dimensional and spherical graphics of ExperLOGO to develop spatial skills in students…

Imaging is creating a material picture in the mind that a person can scan as he or she would scan a real current event in the environment. The concept of imaging offers a way of explaining intrapersonal communication, the process of talking to oneself. Imaging also offers a useful way of looking at the role of language in intrapersonal…

The paper argues that a relationship between visualization and mathematical problem solving ability exists. Research suggests that visual imagery leads to increased understanding of mathematical concepts at both the primary and secondary levels. Mathematical potential is not necessarily "born." Potential can be created in the least likely students…

A few of the relationships between visual and verbal components are explored. Visuals are considered to be things that can be seen, visible things other than printed words that are used in a communication process. The term verbal applies to written or spoken words. The natural tendency for visual and verbal components to be mutually supportive has…

Lines are elemental design devices that provide the primary structure for visual expressions in printed media. Gestalt principles of perception emphasize the role of the viewer, so the energy of the lines and the commercial viability of a particular design depend upon the designer's and photojournalist's understanding of both the viewer's…

Intended for use by speech and communication scholars, this paper uses the extensive body of research on communication apprehension as the basis for a discussion of three conventional approaches toward the treatment of excessive communication apprehension: systematic desensitization, social skills development, and cognitive modification/rational…

Empirical research is reviewed in the area of cognitive psychology pertaining to models of human memory. Research evidence and theoretical considerations are combined to develop guidelines for future theory development related to the human memory. The following theoretical constructs and variables are discussed: (1) storage versus process…