Investigated was the effect of prior experiences on the acquisition of number conservation by 10 mildly and 10 moderately retarded students (7-16 years old). (CL)

The article recounts a conversation with preschool students about calculators. The author found the children to be familiar with calculators. Also, the Calculator and Mathematics Project, Los Angeles (CAMP-LA), a project which assumes every child has a calculator, is briefly described. (PK)

The study investigated children's ability to write number sentences for simple addition and subtraction word problems. The results suggest that open number sentences may provide mathematical symbolism that allows young children to build on informal strategies for presenting and solving simple word problems. (Author/PK)

Computing pi efficiently has been of great interest to mathematicians for centuries. This article presents an algorithm to solve this problem through skillful computer use. (PK)

Describes an exhibition of "mathematically rich" cloths. The themes chosen to be included were symmetry, number, creativity, information handling, and problem solving. The project was an outgrowth of work to take ordinary daily situations and analyze them mathematically. (PK)

Describes a study designed to investigate the relationship between students' learning of the standard double-digit addition algorithm and basic fact mastery or numeration concepts. Results suggest basic fact mastery and knowledge of numeration concepts may not be as necessary as previously assumed to learning multidigit addition. (PK)

Reports on interplay between social and developmental processes in children's numerical understandings in working- and middle-class home settings. Methods included interviews with 78 children aged 2 1/2 and 4 1/2 years to assess their numerical understandings, interviews with the mothers about their children's everyday number activities, and…

Presents a method of teaching two-column addition which the authors argue is based on Piaget's theory and fosters the children's own natural thinking. The method does not use objects such as straws bundled or base-ten blocks. (PK)

Investigates children's difficulty in understanding (numerical) place value. A counting and estimating task, based on Piaget's number theory, was devised to determine if children in grades one through five evidenced this construction. (Author/BB)

A few examples are provided of the history of games and recreations. Six games and some recreations are discussed. (MNS)

Illustrated first is the case in which a wrong procedure (with fractions) leads to a correct result. Trying to justify why it works in this case and looking for similar patterns involved interesting algebraic considerations as well as use of computers. (MNS)

A series of common misconceptions with regard to infinite sets is considered. Several notions of infinite numbers proposed by different mathematicians are compared. It is argued that so-called errors should rather be called alternative conceptions. (MNS)

This study showed that Oksapmin children not only spontaneously use the indigenous numerical system of their nontechnical culture but also have created new forms of numerical symbolization and calculation to deal with schooling arithmetic problems. Novel conceptual developments, factors mediating the schools effect, and the influence of prior…

Patterns resulting from polygonal numbers are explored, with examples of triangular, square, pentagonal, rectangular, and other numbers. Tables and formulas to be developed are included. (MNS)

A useful approach for developing insights and discovering patterns is to examine numbers in relation to the number of their divisors. A teaching procedure for this approach is presented, with questions, answers, and homework suggestions. (MNS)