The relationship of the harmonic mean of two positive real numbers to the geometric mean and to the arithmetic mean is discussed; two geometric constructions for the harmonic mean are given. (DT)

Investigates the differences between students' and instructors' perceptions of similarities among basic computation-related rational number skills. Results indicate that college students in developmental mathematics do see some relationships among rational number computation skills, although not necessarily the ones seen by instructors. (AIM)

In a course on proofs, a number of problems deal with identities for Fibonacci numbers. Some general strategies with examples are used to help discover, prove, and generalize these identities.

This report describes reflections from two cycles of developmental research that involved creating and refining a series of computer-based applets for reasoning about the relative magnitude of fractional quantities. The applet sequence stemmed from a cognitively demanding task used in face-to-face teacher education settings that involved placing…

Taking advantage of student's passion in using technology in the form of digital media sets the trend of this study. If this passion can be harnessed, digital media may have an important and powerful role to play in education. A methodology of teaching using digital media in the form of VCD is experimented and tested for possible effect on…

This is part one of a three-part SMSG mathematics text for seventh-grade students. The text was written for those students whose mathematical talent is underdeveloped and is essentially the same subject matter presented in the SMSG text. Chapter topics include: (1) what is mathematics; (2) number symbols; (3) whole numbers; (4) non-metric…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

Two ideas to use as a bulletin board display as an activity center, or as worksheets emphasizing whole number concepts are described. (JT)

A method of identification of pigs used by farmers is described as an application of a base three numeration system. (MP)