Two enrichment articles are presented; one dealing with finding partial fractions and reducing to polynomials; the other, with finding the heaviest object from eleven others of equal weight where all twelve are identical in appearance. (JG)

Reprinted is "Shanks, Ferguson and pi" by T. A. A. Broadbent. It describes the historical development of the mechanical calculation of the number pi. (CT)

Checklist items are suggested to help teachers diagnose strengths and weaknesses of students who have difficulty learning mathematics. Tasks involve the use of manipulative aids to determine such concepts as grouping, counting, quantity, and estimating. (CL)

A multiple habituation paradigm was used to determine whether 10- to 12-month-old infants were able to discriminate between visual arrays differing only in their numerosity. (Author/RH)

It is argued that Macnamara's criticisms of Piaget's theory of number do not lead to Macnamara's conclusions about arithmetic instruction. These conclusions appear to be based on misconceptions about logic and logical theories of number. The misconceptions are discussed and an empirical rationale for the conclusions about arithmetic instruction is…

A reply by Macnamara to Brainerd's criticism of the Macnamara (1975) article analyzing Piaget's theory of number. (JMB)

Discusses flaws in the reasoning behind a "new system" proposed for rounding numbers that was published in a previous issue of this journal. Concludes that the new system should be used only for numbers in which the nonzero digits following a dropped 5 have some significance. (JRH)

Divisibility tests for digits other than 7 are well known and rely on the base 10 representation of numbers. For example, a natural number is divisible by 4 if the last 2 digits are divisible by 4 because 4 divides 10[sup k] for all k equal to or greater than 2. Divisibility tests for 7, while not nearly as well known, do exist and are also…

A study is conducted to prove Kaprekar's conjecture with the help of mathematical concepts such as iteration, fixed points, limit cycles, equivalence cases and basic number theory. The experimental approaches, the different ways in which they reduced the problem to a simpler form and the use of tables and graphs to visualize the problem are…

Recent work has investigated children's developing understanding of the anatomical locus of identity. In two studies, we extend this work by exploring the role of the mind as opposed to the brain in children's conceptualization of identity. In Experiment 1, an analysis of natural language indicated that adults use the term mind more frequently…