This paper reports on a series of four studies carried out over a period of four years. These related studies were clinical and qualitative as they investigated middle and high school students' development of geometric thought, particularly as it related to three- dimensional visualization. The studies were carried out in the constructivist…

This paper presents a brief introduction to the nature and different types of mathematical visualization. Some of the influences that visualization has had on the development of mathematics and its teaching are examined, in particular exploring its current status. The paper inspects the particular role visualization may have in what concerns…

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…

This collection of activities is designed to show how graphing calculators can be used to explore statistics. The activities address such topics as data representation, distributions, and statistical tests. Teaching notes and calculator instructions are included as are blackline masters. (MM)

Study investigated performance under the conditions of: presentation of noninteracting picture pairs, presentation of interacting picture pairs, and presentation of noninteracting picture pairs with instructions to create interacting images. (Authros/CB)

A study was conducted to determine the relationship of visualization abilities to achievement in chemistry. Two freshmen and one senior level class of chemistry majors were included. Two visualization tests and a chemistry examination at the end of the semester were conducted. A stronger relationship was reported between senior chemistry status…

Results are discussed in terms of variables which may lead to the activation of cognitive structures during the transitional period. (Authors)

Three experiments compared congenitally blind and sighted adults and children on paired-associate, free-recall, and imaging tasks presumed to involve visual imagery in memory. In all three, blind subjects' performances were remarkably similar to the sighted. Results challenge previous explanations of performance such as Paivio's (1971). (Author/RD)

This article explains two techniques for helping students develop long-term memory skills and retain information taught in class. One technique relies on mental pictures to keep track of a numbered series of items; the other depends on key words derived from the material that must be memorized. (PP)

Argues that imagery can play an important part in a variety of academic subjects. Provides instructions concerning the method by which imagery can be used in such diverse fields as the development of social skills, the identification of interests and career areas, and creative productivity. (FL)

In two studies, sixth graders (Study 1) and fourth graders (Study 2) listened to or read a text. Some students were asked to imagine pictures of the material. Oral presentation of the material produced better results than written-only forms. Fourth graders benefited more from mental imagery than did sixth graders. (Author/JJD)

Stresses the importance of visualization in mathematics education by reviewing research dealing with the relationship between mathematical and spatial ability, and recommends that such findings be incorporated into mathematics instruction. (JJD)

Five experiments investigated how completely and accurately adults remember the visual details of the common United States penny. Subjects had to draw a penny from unaided recall and select the correct representation of a penny. Performance was poor on all tasks. Implications for long-term memory models were discussed. (Author/RD)

Changes in the performance levels of 41 elementary school-aged girls on Euclidean geometric operations tasks were related to changes in forms of their drawings of two anticipated rotation movements. Operatory and imagery performance were measured in three sessions over a 3-year period. (JMB)