Discusses the roles of visual thinking, visual rehearsal, and introspection in educational technology, and suggests that instructional designers should externalize their internal representations and involve the internal and external representations of content specialists and learners in the instructional design. Fifteen references are listed. (MBR)

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…

These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…

Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching problem solving at the secondary level deals with the notion of equivalence of algebraic…

This article describes a teacher and class as they discover that their reading comprehension strategies cross over into mathematical problem solving. The students practice using visualization techniques to improve their understanding of word problems. (Contains 5 figures.)

In an investigation into the process of retrieval from very long term memory, four subjects who had been out of high school from 4 to 19 years were asked to think aloud while attempting to recall the names of their high school classmates. The retrievals were found to be characterized by overshoot, systematic hypothesizing, fabrications, the…

The models of standard test theory, having evolved under a trait-oriented psychology, do not reflect the knowledge structures and the problem-solving strategies now seen as central to understanding performance and learning. In some applications, however, key qualitative distinctions among persons as to structures and strategies can be expressed…

This article addresses how to help students develop an aptitude for seeing relationships between elements and puzzling out new forms in doing so. Four different approaches are presented. Each illustrates a way that industrial designers work in considering the form of a product. A classroom activity is included.

This paper introduces various visual models for the analysis and description of learning processes. The models analyse learning on two levels: the dynamic level (as a process over time) and the functional level. Two types of model for dynamic modelling are proposed: the session trace, which documents a specific learner in a particular learning…

In this article, the authors discusses Visualization in Technology Education (VisTE). VisTE units are designed to enhance students' knowledge in science, develop good visual and presentation skills, understand emerging technologies, and most of all help with the integration of standards that promote technological literacy. Technological changes…

The capacity to produce imagery has been regarded as a powerful agent in the healing process and the use of mental imagery as a healing technique is well established. Freud developed the technique of free association and Jung developed several innovative imagery techniques designed to explore the unconscious. Others have used imagery and…

Six studies were performed investigating the relationship between digit span (DS) capacity and other memory and problem solving tasks: (1) Ss were administered a DS test, an aurally presented mental addition test, a similar multiplication task, and a written timed division test. DS correlated only with the second; (2) Ss were required to…

Presents the Shape Search problem to develop student visualization. Focuses attention on the National Council of Teachers of Mathematics (NCTM) Geometry Standard. (Author/NB)

Describes how elementary school teachers demonstrated for themselves and their students how using simple drawings and visualization can improve problem-solving ability. (ASK)