Describes two instructional activities to develop spatial imagery and the pupil's responses to these activities. Discusses how the classroom atmosphere contributed to the success of the activities. (YP)

Shows that graphs can reveal much about feedback systems that formula conceal, especially as microcomputers can provide complex graphs presented as animations and allow students to interact easily with them. Describes feedback systems, evolution of the system, and phase diagram. (YP)

Presents activities focusing on the use of visual perspectivity. Includes reproducible student worksheets. (MKR)

Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Proposes the use of humor and the personalization of word problems by inserting students' names in the problem statement as methods of gaining students' attention. Illustrates their use in a mixture problem and the Tower of Hanoi problem. (MDH)

Presents examples of visual representations helpful in understanding number relationships and the algebraic statements of these relationships. Suggests that these representations can be used by teachers to aid students in discovering number relationships and in acquiring meaning for given mathematical statements. (PK)

Presents techniques for developing spatial visualization while dealing with concepts of area, proportion, and symmetry. Provides the objectives, directions, extensions, answers, and worksheets for each of the four activities. Describes involving parents. (YP)

The continuous technological progress of the past few decades affords a different orientation to the teaching-learning process, which is useful and advantageous when mathematical concepts are transmitted. This article pursues two different aims. The first one is to examine the present state of the traditional process in relation to the concepts of…

Sample materials from a primary training packet are included. The packets were developed as a part of a teacher development program aimed at improving elementary mathematics by giving teachers practical ideas. The sample student materials are drawn from the areas of geometry and oral mathematics. (PK)

Features activities designed to enhance students' spatial reasoning ability combining geometry, language arts, and visual arts. (ASK)

This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches to problems about convergence of sequences and series made by students who have a tendency to include visual imagery in their reasoning. We explore…

Presents activities where students visualize three dimensional figures, construct tables, discover patterns in the tables, and use the patterns to make predictions. (PK)

This study was designed to: (1) examine modes of representations used by middle school students in a building description task; (2) investigate individual differences in representation mode; and (3) determine the effect of spatial visualization activities on students' preference for mode and success rate. The activities were reported as…

Discusses four activities focusing on communication about shapes and spatial relationships. The activities include requiring students to sketch patterns, and two-dimensional and three-dimensional visualizations. Provides several figures showing the geometric shapes. (YP)