The mathematics associated with division is discussed, working from a theorem for the real division algorithm. Real-world, geometric, and algebraic approaches are discussed, as are related topics. (MNS)

Two difficulties that students have in computing with fractions are idenfitied. Then a procedure is described, stressing the identity element, that resolves these difficulties and increases students' understanding and retention. (MNS)

How the strategy of uninterrupted sustained silent reading, can be adapted as uninterrupted sustained arithmetic for use in mathematics classes and clinics is discussed. Several activities are described and illustrated. (MNS)

The focus is on the problem-solving strategy "write an equation." Other topics to develop problem-solving skills are included. (MNS)

Solving a problem using the work-backward strategy is discussed, with tips on other facets of problem solving. (MNS)

Use of an ancient method of mental calculation with aliquot parts is illustrated. Other tips for helping children reason are also included. (MNS)

Suggestions are provided on diskette care, software worth seeing, teaching that computers can't do everything, and a debugging activity. (MNS)

Ways in which newspapers can be used in mathematics instruction, involving cutting numbers and shapes for a variety of purposes and collecting and analyzing information, are presented and illustrated. (MNS)

"Solve a simpler problem" is the strategy illustrated, with suggestions on other strategies included. (MNS)

The problem-solving strategy of using a drawing is highlighted, with two problems discussed. Tips on classroom climate and other teaching ideas are also given. (MNS)

Ways in which two children solve a division example are presented. The focus is on encouraging students to explore and develop ways of solving mathematics problems. (MNS)

Taking advantage of calculators involves becoming knowledgeable about the research on calculators, recognizing intangible benefits of calculator use, developing an open calculator policy, allowing students to explore with calculators, never requiring calculator checks of paper-and-pencil computations, using standardized tests designed for…

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)

Using open-ended problems with more than one answer is disucssed, with examples. Other tips on open-ended problem solving are included. (MNS)

The four-step method of problem solving is described: read the problem, represent or diagram, set up the calculations and compute, and write the answer. Other problem-solving tips are also included. (MNS)