This book contains activities using a technique that allows students to practice routine arithmetical operations without getting bored. Math Loops is a game in which each student receives a card containing answers to a mathematics question or problem and must listen for another student to call out the question. As the game progresses around the…

Six- to eight-year-old children (N=42) who were identified by their teachers as within the average range of ability in mathematics were individually tested on three different mathematics tasks. On the flashcard task and the nonverbal task where children replicated the number of buttons placed under a box, the same 14 addition problems with sums up…

There are numerous teaching suggestions to offer in guiding pupils to greater achievement in mathematics. This paper suggests that the instructor should begin where the pupil is presently and observe what interests the pupil in learning. Different methods for teaching mathematics such as using blocks, beads, films, filmstrips or slides, a…

This study tested 148 preschoolers between the ages of 48 and 72 months on a Piagetian number conservation task. Children's judgment accuracy, estimation, and response latency were measured. Children were also questioned about the number conservation principle. A four-step developmental sequence was hypothesized: (1) nonconservation; (2) correct…

The described game provides children with practice in multiplying by three and in comparing the values of sets of coins. (SD)

The converse of a familiar construction problem is explored, and a partial solution presented. The general problem is "Given a segment with length whose square is x, construct a segment with length 1." (SD)

The authors recommend introducing complex numbers by first studying the integers modulo seven. (SD)

Procedures for using a calculator to check addition and subtraction problems in bases less than 10 are described. (SD)

The author states two "Birdcage Axioms" (often called the Pigeonhole principles) and shows how students can prove a variety of theorems from them. (SD)

Rules for determining the number of initial zeros and the period of a repeating decimal are stated and proved. (SD)

This article describes a series of activities and worksheets to provide students with experience in graphing number pairs. Students at different lev els can use the activities to relate basic arithmetical operations to graphs. (Worksheets are included.) (SD)

The author reviews the history of the Fibonacci sequence and its relation to Pascal's triangle. (SD)

The Chinese numerical system and its contrastive aspects with the English system are discussed, as well as some implications of the numerical system in the spoken language. (RM)