The origin of the magic square, its numerical concepts, and some procedures for its construction are discussed. (JT)

The topics discussed are, "Helping Students Understand the Distributive Property,""Converting from Base 10: Nonintegral Bases?,""Rapid Mental Squaring of Mixed Numbers," and "Some Nonstandard Binary Operations and their Properties." (JT)

The author redefines basic numeracy as the ability to use a four-function calculator sensibly. He then defines "sensibly" and considers the place of algorithms in the scheme of mathematical calculations. (MN)

After prime factors of a set of numbers are listed, geometric shapes are used to find the prime factors of the least common multiple (LCM). (MNS)

The number sense program in Texas was developed to help motivate students to learn mathematics and to literally develop "number sense." A description of the program, a 70-item exercise (with answers), and teaching tips are provided. (JN)

Several methods for finding rational numbers which lie between two given rational numbers are described. (DT)

The checking of subtraction and division problems is discussed. (DT)

A method for compound subtraction which avoids the need to memorize a difficult set of subtraction facts is explained. (DT)

A proposal is made that teachers integrate the various forms of the four operations of addition, subtraction, multiplication, and division in a concrete way, rather than teaching the topics sequentially. (DT)

A distinction is made between an algorithm and the justification for the algorithm. Examples of both are given for the operations with whole numbers. (DT)

A theorem on divisibility in decimal and non-decimal numeration systems is developed; its use in a series of discovery-centered lessons is suggested. (DT)