The method of finite differences is discussed with some applications. The method is described in detail, with illustrative sequences, and several problems are presented. (MNS)

Discontinuing use of the term "negative" in reading -x is suggested; rather, "the opposite of x" is suggested. A definition is given, plus two worksheets to help students understand the meaning. (MNS)

A problem on speed of travel is stated in general terms to provide practice in algebraic manipulation while maintaining a sense of real-world usefulness. A computer program is listed. (MNS)

Much can be learned from a study of rational functions and the behavior of their graphs, so their inclusion in secondary school mathematics textbooks is urged. Analysis of reciprocal relationships and when they don't apply, asymptotes, and the graphing technique are each included in the discussion. (MNS)

Algebraic and transcendental curves are discussed, with attention focused on computing the area of some special regions bounded by the curves. (MNS)

The reversal phenomenon was studied with nearly 1,000 Australian students in grades 9-12. The insertion of a multiplication sign in an equation tended to lower the incidence of reversals, but switching from initial letters to other letters made little difference. (MNS)

The relationship between the historical evolution of algebraic ideas and their conceptual development is examined. A study with secondary school students indicates a possible parallelism between algebraic evolution and conceptual development and indicates how historical analysis can guide teaching. (MNS)

Explains an application of matrix algebra which involves probability matrices and weather predictions. Using probabilities of sunny or cloudy weather students can determine the effect weather on day one will have on subsequent days. (DH)

The author's adaptation of a mastery learning program to a Beginning Algebra course is described. Test score averages clearly increased. (MNS)

The performance of 60 fourth form pupils who had been taught to solve algebraic equations by the algorithmic or flow chart method was studied. A sizeable number of pupils were not using the flow chart method. Other types of errors are noted. (MNS)

Presents three sample problems related to arithmetic and algebra, geometry, and calculus, indicating, in each case, similar problems that could be posed. Includes a discussion of positive benefits which result by asking students "Can you derive the result differently?" (JN)

Offers reasons why algebra should not be taught in the eighth grade, suggesting that this subject be replaced by a challenging, engaging alternative. Also suggests enriching the mathematics program to bring more students into mathematics classes. (JN)

Evidence was collected to support previous research findings that children prefer quantitative to formal methods of solving linear equations. They find formal methods difficult. How to help them become more receptive to learning formal methods is discussed. (MNS)

The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)

Challenges traditional use of logic in the mathematics curriculum, indicating how it may be better used. Explicit suggestions and justification for placing inferential logic in high school geometry and relegating most of the sentential logic to algebra are provided. Overviews of both forms of logic are also provided. (JN)