Properties of a given array of numbers are discussed and some sample activity cards involving discovery of number patterns are presented. (MP)

Provided is a set of six activities demonstrating how mathematical connections can be made using the concept of rectangle. The activities relating rectangle to factoring whole numbers, prime numbers, and calculating the area of rectangles, triangles, parallelograms, and circles, are also connected to each other. (MDH)

Presents three investigations related to the game Bulgarian Solitaire. Investigations ask students to find and represent optimal solutions to the problem, to identify cyclical solution patterns for different numbers, and to respond to questions involving the number and nature of the cyclical solutions. An appendix provides answers to questions.…

Explores the close relationship between pattern formation and traditional geometry using the LOGO programing language with the specific example of joining squares, corner to corner, to form a closed ring. Includes the LOGO programs utilized, as well as color illustrations of the interesting and eye-catching patterns generated. (JJK)

The material provides secondary students with opportunities to count deductively, collect data, look for patterns, check and modify patterns after obtaining further data, establish patterns, and check validity. Worksheet masters suitable for classroom duplication are included. Students should have certain prior experience with models of regular…

This section includes eight problems to which the journal invites readers to respond. Problem topics include angles in alternate segments, pentominoes, a new triangle of numbers, cricket scores, symmetrical pentagons, inequalities, a pythagorean dissection, and magic squares. (MDH)

Presents four cases of real-world probabilistic situations to promote more effective teaching of probability. Calculates the probability of obtaining six of six different prizes successively in six, seven, eight, and nine boxes of cereal, generalizes the problem to n boxes of cereal, and offers suggestions to extend the problem. (MDH)

Discusses six activities from concrete to abstract related to geometric patterns. The stages of the activities are familiarization, starting point, walkabout, do-it-yourself, and investigation. Provides pictures of diverse patterns. (YP)

Discusses 4 numerical patterns occurring in the decimal expansions of 2 raised to a negative exponent. Includes two row patterns, one diagonal pattern, and a pattern in the sum of the digits of the expansions. Conjectures are presented for each pattern and subsequently proved. (MDH)

Doing mathematics includes the activities of making observations, searching for patterns, formulating conclusions called conjectures, and verifying these conjectures. Presented is an activity that develops pattern discovery and measurement skills using a protractor, compass, and ruler by drawing various stars. Appropriate worksheets and directions…

Described are some classroom experiences teaching the concept of symmetry by having students create frieze patterns using the computer software "mosaic." Examples produced by 14-year-old students are presented, and student thinking in developing the friezes is discussed. (MDH)

This article discusses the analysis of a decision-making process faced by contestants on the television game show "The Price is Right". The included analyses of the original and related problems concern pattern searching, inductive reasoning, quadratic functions, and graphing. Computer simulation programs in BASIC and tables of…

Describes two activities to introduce or extend the concept of the natural number e. Students conduct a lottery using either a table of random numbers or a computer simulation to link experimental probability results to the theoretical probability and to the number e. (MDH)

Discusses a variation on tiling that offers opportunities for the construction of the fundamental mathematical concept of constructing abstract units called "unitizing." Tiling integrates geometric and numerical settings to develop spatial sense and present mathematics as constructing patterns. (MDH)

Presented is an activity that explores the relationship between the size of a rectangle and the number of squares intersected by a diagonal. Students incorporate pattern recognition and the concept of the greatest common divisor in solving the problem. A sample worksheet is provided. (MDH)