An outline of the way that fractions might be presented in ninth grade algebra is given, and implications for elementary school instruction are noted. (DT)

The ability of 135 first, second, and third grade classes to solve open sentences involving sums between 10 and 18 was investigated. Performance appeared to be related to grade level, operation, the position of the placeholder, and the existence of a solution within the set of whole numbers. (Author/DT)

Reported is a study of the interaction between figural and semantic abilities (as defined in Guilford's Structure of the Intellect") and success in a programmed unit in modular arithmetic. The subjects were prospective elementary teachers. Significant interactions were found between both figural and semantic factors and methods of instruction.…

Methods are presented for teaching the meaning of exponential functions, Euler's formula, De Moivre's theorem and Maclaurin's series for exponentials, cosine, and sine to juniors or seniors in high school. (JG)

Reported is a study which compared two instructional methods involving discovery learning and a verbal didactic instructional method. The verbal didactic method was significantly better for immediate learning; the verbal didactic method and a guided discovery method were better for retention. No differences were noted regarding transfer. (CT)

Investigated was the feasibility of inducing number conservation through training kindergarten children on reversibility tasks not related to the criterion measure. (JG)

Grade four students who studied 3, 5, 10 or 12 value systems of numeration were compared with similar students who studied only a decimal system. A test was designed to measure understanding of the decimal system, processing decimal numerals, and place-value systems in general. Data analysis using multivariate analysis of covariance is presented.…

Operations with zero and concepts associated with the use of zero are examined in some detail. Historical practices concerning zero are discussed. (CT)