Some properties of perfect numbers are illustrated. (SD)

A subtraction algorithm for numbers having several digits is described. The algorithm requires that, for digits in the same place, the smaller is always subtracted from the larger. (SD)

An algebraic development of the Fibonnaci sequence, appropriate for use in beginning algebra classes, is presented. (SD)

A puzzle involving computation and pattern observation is described. (SD)

A large doll can be used to illustrate many mathematical concepts to young children. Examples of the concepts introduced with the doll include one-to-one correspondence (buttons with buttonholes) and relative sizes. (SD)

This article presents a simple procedure to generate a sequence of rational numbers converging on the square root of 2, yielding common fraction approximations that motivate and illuminate the definition of real numbers based on rationals. Examples suggest that any irrational number can be approximated as closely as desired. A bibliography is…

The development of ordering and correspondence operations, under varying degrees of the presence of length cues to number, was studied in 91 preschool children. Findings are interpreted in terms of the young child's difficulty in separating and coordinating the dimensions of length and number. (Author/ED)

The paper describes an approach in which games were planned to provide instruction for three severely handicapped children (5-6 years old) with few leisure, social, or academic skills and many aberrant behaviors. The first of two games involved a language program to teach verbal interactions, picture identification, and picture matching. The…

The study examined the effectiveness of a tutoring program on counting and number skills for trainable mentally retarded (TMR) and educable mentally retarded (EMR) students (5-14 years old). Experimental Ss received individualized instruction based on counting games while control Ss received instruction on objectives not related to counting.…

Counting and dividing activities for 5- and 6-year-old children, using base ten multibase arithmetic blocks, are described. (DT)

A classic problem involving the "misuse" of mathematical induction is presented. The error in the "proof" is then exposed. The generalization of this problem is presented as a false theorem which should serve to highlight the error. (LS)

A definition of developmental dysalculia, stressing the hereditary or congenital affection of the brain substrate of mathematical functions, is put forth. (Author)

The major portion of the article establishes the basis for the stated rule - to divide by a fraction, turn it upside down and multiply. With this background, three justifications for the rule are given. Several possible errors in students' use of the rule are noted. (LS)

This course is intended for students who have a thorough knowledge of college preparatory mathematics including algebra, axiomatic geometry, trigonometry, and analytic geometry. It does not assume they have acquired a background of elementary functions. This teacher's guide contains background information, suggested instructional procedures, and…