Developed to provide supplementary instructional strategies for reading teachers at the kindergarten level, this booklet presents the instructional module for completing patterns, a component of the Comprehensive Reading Program of the Chicago Public Schools. After an overview of the module, activities are suggested for the following areas:…

The relation between the area of a rectangle and its perimeter is clarified by looking at patterns. Several examples involving rectangles with integral sides are presented. (MNS)

The focus is on the problem-solving strategy of find a pattern, with a problem explored to illustrate how to use the strategy. Other tips concern classroom climate, checking skills, research, and type of problems. (MNS)

Activities on estimation and mental computation are presented. Patterns on a hundred chart, an amazing fact, teaching and testing tips, and other references are included. (MNS)

An activity project is described which encourages students to question and experiment. Appendices provide examples of student results. (MNS)

What is number sense, why it is important, how it is taught, and how it is measured are each discussed. Examples with concrete materials, calculators, and pattern recognition are included. (MNS)

Mathematical proofs often leave students unconvinced or without understanding of what has been proved, because they provide no visual-geometric representation. Presented are geometric models for the finite geometric series when r is a whole number, and the infinite geometric series when r is the reciprocal of a whole number. (MNS)

Briefly presented are suggestions on using exercises in number patterns in second-year algebra and factoring quadratics in a 10th-grade enrichment class. (MNS)

The described activities give children an opportunity to use geometric ideas to reinforce arithmetic concepts and to use arithmetic ideas to generate geometric figures (both circles and polygons). (MNS)

Describes an activity designed to allow secondary students to practice pattern recognition using the proof-of-purchase scanning lines found on many consumer products. Provided are a list of materials, procedures, and student activity sheets. (CW)

Presented are 44 examples in which students are invited to guess what pattern of numbers is emerging and to decide whether the pattern will persist. Topics of examples include Pascal's triangle, integers, vertices, Fibonacci numbers, power series, partition functions, and Euler's theorem. The answers to all problems are included. (KR)

An overview of a variety of interesting teaching techniques is given to assist school personnel in strengthening their overall mathematics programs in the first eight grades. The problem-solving approaches recommended are so designed that they should be useful in every subject. The materials could also be used as a basis for teacher in-service…

A computer program is presented for the billiard ball problem. It can be integrated into a lesson on inductive reasoning and suggests several ways to do so. (MNS)

A useful approach for developing insights and discovering patterns is to examine numbers in relation to the number of their divisors. A teaching procedure for this approach is presented, with questions, answers, and homework suggestions. (MNS)

Describes a card trick that provides opportunities for students to discover patterns, work with variables, create tables, and ponder mathematics. Students at various levels of ability are able to enjoy the trick, and mathematical discourse is promoted within the classroom. (AIM)