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)

The authors suggest how the patterns in the digits in the multiplication tables may be exploited in the classroom. (MM)