Discusses an art activity for kindergarten students that reinforces the idea that patterns are made from repeating a line or shape. The lesson uses circular rather than linear patterns and can be completed in a 40-minute class period. (CMK)

Combining both the Western perspective of creativity as productivity and the Eastern perspective of creativity as enlightenment, a Program for Enlightened and Productive Creativity (PEPC) for teaching inquiry was devised. The PEPC describes stages through which a student is guided to solve a problem using increasingly complex observation, inquiry,…

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

A problem sometimes called Moser's circle problem where a circular region has to be partitioned with chords without any three chords intersecting at one point, is discussed. It is shown that Moser's circle problem makes the students to use a variety of mathematical tools to find correct solutions to problems and gives an opportunity to think about…

Two posters that can be used to provide experience in recognizing patterns in sequences of numbers are provided. Suggested number sequences for different grade levels are given. (MK)

Provides four activities asking students to observe and classify star patterns and to identify polygons and continuous paths while observing similarities and differences. Presents the objectives, directions, extensions, answers, references, and worksheet for each activity. (YP)

Describes an activity for eighth-grade students inspired by the mola designs for clothing of the Cuna people of Panama. Directs students to sketch, enlarge, and paint their own mola animal emphasizing craftsmanship, consistency, and color harmony. Explains that the students paint animals where the animal and background were broken up into…

The production and application of images based on fractal geometry are described. Discussed are fractal language groups, fractal image coding, and fractal dialects. Implications for these applications of geometry to mathematics education are suggested. (CW)

Investigated whether 3- to 6-year-olds in a Montessori school created more symmetrical than asymmetrical designs when working with building materials. Found that symmetry occurred in designs of children as young as age 3, with the tendency increasing with age. Examined the need for increased use of building materials for teaching symmetry in the…

The author suggests ideas intended to lead to independent study on topics including trigonometry, Pythagoras, algebra, transformational geometry, primes, and countability. The ideas are based on Islamic patterns devised using a square lattice of dots and repeated reflections. (PK)

Explores the following classical problem: given any 30 points on a circle, join them in pairs by segments in all possible ways. What is the greatest number of nonoverlapping regions into which the interior of the circle can be separated? Presents strategies for solving this problem. (PK)

Quilt-making is presented as an activity that helps elementary school children recognize and appreciate geometry in their world while developing their problem-solving skills. Students choose an appropriate pattern and cooperatively make the quilt. Related measurement questions and problems are provided. (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)

Describes some developmental changes in children's free creations with pattern blocks and demonstrates how to build on this natural interest to teach Logo programing. (PK)

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)