This book introduces journal-writing prompts in mathematics for geometry. Content prompts, attitudinal or affective prompts, and process prompts are presented. Each of the content prompts relates or connects topics within and outside of mathematics, targeting important or meaningful concepts and skills. The content prompts also provide situations…

This CD-ROM contains the lectures, abstracts, workshops, and posters of all participants in the Third International Conference on Technology in Mathematics Teaching (ICTMT 3). Various topics on teaching mathematics with technology are reviewed and some software and demos are also included. Main talks focus on such topics as graphing calculators,…

The National Committee on Mathematical Requirements was organized in the late summer of 1916 under the auspices of the Mathematical Association of America for the purpose of giving national expression to the movement for reform in the teaching of mathematics, which had gained considerable headway in various parts of the country, but which lacked…

The material provides secondary students with opportunities to count deductively, collect data, look for patterns, check and modify patterns after obtaining further data, establish patterns, and check validity. Worksheet masters suitable for classroom duplication are included. Students should have certain prior experience with models of regular…

The need for development of a curriculum that provides vertical links between earlier and later work and horizontal links with other topics in mathematics and other subjects is promoted. Much of the material describes explorations of circles and cones suitable for many levels. (MP)

A developmental sequence of stages in the representation of regular space figures, first obtained in Jamaica, was cross-validated on a U.S. sample. Discussion centers on the relation between representational ability and perceptual development and on the variation in the difficulty of drawing different figures. (Author/MK)

Determines effectiveness of the active game medium compared with a conventional method of teaching mathematical concepts to second grade children. Two separate groups were taught 15 lessons by each method and were given pre, post, and interval tests. Results indicate no significant difference between the two teaching methods. (DS)

Presents an activity in which students were required to develop their own house plans, including finding the perimeter of the lot and house and calculating the total area of the house. (ASK)

Shows that the experiment of the ancient Greek mathematician and geographer, Eratosthenes, can be replicated and used to teach geographic concepts. Eratosthenes calculated the most accurate ancient measurement of earth based on fundamental mathematics concepts and earth-sun relations. Includes instructions, illustrations, graphs, and historical…

Studied the influence of authentic contexts and self-made graphical representations on students' well-documented tendency to apply the linear model improperly in representing and solving nonproportional word problems. Findings for 152 Flemish 8th graders and 161 10th graders do not show the expected effects; in fact, these forms of help had…

Discusses etymologies of mathematics words as a rich resource for deepening student understanding and appreciation of mathematics, history, and language. Presents detailed examples concerning the branches of mathematics, conic sections, and words of Arabic origin. (KHR)

Discusses the parallels between Klein's position at the forefront of a movement to reform mathematics education and that of the National Council of Teachers of Mathematics' (NCTM) Standards. Draws a picture of Klein as an important historical figure who saw equal importance in studying pure mathematics, applying mathematics, and teaching…

Describes an activity in which students use data analysis and mathematical modeling to obtain insight into a geometrical question. Explores a simple case of the isoperimetric inequalities. (KHR)

Presents three fundamental ideas of calculus and explains using the coordinate plane geometrically. Uses Cabri Geometry II to show how computer geometry systems can facilitate student understanding of general conic objects and its dynamic algebraic equations. (KHR)

The production and application of images based on fractal geometry are described. Discussed are fractal language groups, fractal image coding, and fractal dialects. Implications for these applications of geometry to mathematics education are suggested. (CW)