Pumpkin seeds are counted after students convert pumpkins to jack-o-lanterns. Among the activities involved, pupils learn to count by 10s, make estimates, and to construct a visual representation of 1,000. (MP)

Alternative algorithms, "tricks," and shortcuts are viewed as ideally suited for inclusion in a systematic program of practice because of their motivational effect and the mental stimulation involved in discovering why they work. (MP)

Insight into children's ideas about selected equality sentences is provided through a series of interviews with six- and seven-year-old pupils. The evidence indicates that children consider equality as an operator rather than a relational symbol. (MP)

The author describes the areas in the kindergarten classroom--blocks, toys, cooking, games, job charts--which can be used in furthering a child's developing mathematical skills. (KC)

Record-breaking snowfalls are the starting point of a presentation that delves into many aspects of probability and interesting and unusual aspects of viewing independent, random phenomena. (MP)

Part 2 considers the limit of a sequence and extends this to include ideas such as continuity, derivative, and integral. The discussion concludes with an example of a finite or "counted completely" set, the Fermat primes. (MK)

Learning activities are given for instruction in the skill of associating numbers with sets of dots, a skill intermediate between counting and higher number concepts. (MP)

A mathematical game is described that reinforces arithmetic concepts while children practice determining equivalent representations for various denominations of money. (MP)

Specific strategies and examples for teaching mathematical computation skills are presented as samples of ways to teach starting with the concrete and ending with the abstract. (JMF)

Patterns generated by the set of natural or counting numbers are discussed. Included are quartic, odd, square, and triangular numbers. (MK)

The article describes the process of teaching abacus to moderately retarded blind students as a means of developing concepts of numbers, addition and subtraction, and money values. (Author)

Explores how to know when children think mathematically, how to establish a setting that elicits mathematical thinking, and what to learn about children as a result. Fourth grade students think and talk mathematically while tackling a real-life PACKETS program. Addresses content standards involving proportional reasoning as well as the process…

Investigates the development of understanding of multiplication from the early school years through to the top primary age group. Identifies the children's difficulties and analyzes their solution strategies. Reports that progressive abstraction is related to the children's developing understanding of number and to their procedures for addition.…

Presents 12 problems for students to investigate the relationships involving properties of numbers by using BASIC language. (YP)

Discusses how to help children acquire mathematical concepts and teach for precise mathematical concepts. Describes four activities to reinforce the concepts introduced. (YP)