Discusses the use of computer graphics to introduce the concepts of derivative and tangent line using the iteration of functions, especially linear functions. (MKR)

Discusses a children's television show, "The Math Connection," which shows connections between mathematics and daily pursuits of local workers and tries to affect attitudes of students and teachers toward mathematics. Describes the content and structure and the open-ended problems on which students work to prepare for the show. (MKR)

Presents examples and reflections hinting at the role of formal thought in the process of knowledge growth. Discusses proof, language, and mathematics; knowledge as form versus development; the difference between concept and object; how mathematical texts can be improved; and geometry and the idea of diagrammatic reasoning. (Contains 36…

This article examines constructivism in terms of the learner, the content, teacher-student interactions, motivation, and assessment; evaluates mathematics standards and their sensitivity to students with mild/moderate disabilities; and identifies 19 instructional components derived from constructivism, focusing on teacher behaviors, teacher…

After a brief historical account of Leonardo Pisano Fibonacci, some basic results concerning the Fibonacci numbers are developed and proved, and entertaining examples are described. Connections are made between the Fibonacci numbers and the Golden Ratio, biological nature, and other combinatorics examples. (MDH)

Described are materials developed to add to existing complex-number units and how they have been used in second-year algebra and precalculus classes. Discussed is software developed, objectives, and classroom materials. Two worksheets are included. A computer program is provided. (CW)

Describes a study that was designed to investigate the relationship between certain features of interactive video design and the deployment and development of cognitive problem-solving skills. Middle school mathematics students used for the study are described, the use of videotapes and interviews is discussed, and group dynamics are examined. (26…

In using manipulative materials in an elementary mathematics classroom, each student can be placed in a cooperative-task group, with each member of the group interdependently performing a specific function. This article describes in detail an activity utilizing pentominoes that demonstrates how such a classroom management system can be…

Developed is a working definition of the concept of preformal proof through the analyses of an action proof, a geometric-intuitive proof, and a reality-oriented proof of a differential equation. Instructional problems for teachers and learners in connection with preformal proofs are pointed out. (MDH)

Describes instruction in language arts, mathematics, computers, physical education, sciences, and social studies at O'Farrell Community School. Notes that students are taught by interdisciplinary teams of six teachers. (PRA)

Forty-eight elementary children with hearing impairments were assigned to either computer-assisted instruction or small-group instruction and workbooks, for math or language arts. Results showed that computer-assisted instruction did not affect improvement in written language skills or standardized achievement tests but did show positive effects…

Presented are remarks adapted from keynote addresses made by Iris Carl and Shirley Fry at the National Council of Teachers of Mathematics (NCTM) 1991 Annual Meeting. Teachers are issued the challenge of implementing the vision of the NCTM's Standards through innovative teaching methods, reevaluating their profession, and creating a community of…

Presents several problems that use calculator or computer-generated graphs of the absolute value function as related to the maximum and minimum functions to illustrate the statistical concepts of range, median, mean, and variance. (MDH)

Describes a study at a secondary school in Glasgow (Scotland) in which teacher-pupil and pupil-pupil pairs of users collaboratively used eight commercial educational software programs, four related to mathematics and four to English language teaching, to determine whether software style affects patterns of interactions. (23 references) (LRW)

Five contributors report on their perspectives of the seventh International Congress on Mathematical Education (ICME): (1) "Thoughts of an ICME Regular" (Z. Usiskin); (2) "Encouragements and Disturbances" (D. L. Brekke); (3) "A Brief Note on Errors" (A. Lax); (4) "Then and Now" (L. Rogers); and (5)…