Nine problem situations involving the use of random numbers are given. Topics include cooking, hunting, bacteria contamination, waiting lines, ransom walks, and branching. In addition to the problem situation, questions are suggested which can be used to extend the investigations. (LS)

Thirty-five students from all ability levels in the first and second year of secondary school were interviewed to determine their understanding of appropriate application of number operations. Results of the interviews are classified into five different levels of understanding. (DT)

Whole numbers written in spiral or triangular patterns with spaces occupied by prime numbers blocked in produces interesting visual patterns. Described is a game based on these patterns that may be played at many different levels. (JP)

Sometimes the immediate use of an algebraic approach to solve a problem can obscure what is actually happening. The solution to one problem is described both algebraically and through a numerical approach. (MNS)

Three games in which the calculator plays an important facilitating role are presented. It promotes a "guess then adjust your guess" strategy. The games are described within the context of elementary, junior high, and secondary classrooms. (MNS)

Young children benefit from activities that involve various partitions of numbers, especially the number 10. Presented are two activities that require students partition and recombine numbers to solve problems in a gamelike situations. Examples and worksheets are provided. (MDH)

Presents three number games for mathematics classrooms designed to improve the learning of number concepts. Game topics include determining products, arranging mathematical signs, and factoring. (ASK)

Some functions on digits of positive integers are presented as possible sources for useful investigations by students, particularly through the use of calculators and computers or in the writing of small proofs. The material is designed to encourage students to conduct their own investigations. (MP)

Basic computational problems admit several different solution algorithms. A student's choice of method may be related to personal characteristics which also bear on his ability to learn other mathematical techniques and theories. (SD)

Describes activities in a mathematics class for six-year-olds. The article makes several points, including: working independently is very absorbing; investigative work is as important as algorithms; and children working in groups can achieve more than even the brightest child working alone. (PK)

The article includes a discussion of counting and counting strategies. In addition, there are eight problem sets appropriate for use with groups of different age and ability levels. Suggestions are given for finding variations of the problems. (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)

What is meant by meaningful instruction is discussed in terms of interest and relevance, pseudo-real problems, unconscious reinforcement, stories for symbols, and mathematical mirrors. That mathematics must be talked about with and by children is emphasized. (MNS)

Using the notion of the difference between a number and its cube as a starting point, this article presents a wide range of mathematical activities at varying levels of sophistication utilizing numerical, intuitive, and graphical approaches. (JJK)

Presented are six problems from diverse areas of mathematics that are appropriate for students of differing age and ability levels. (PK)