A strategy is presented for teaching arithmetic to students with mental retardation, based on subitizing, skill of recognizing number of objects in a set without actually counting, and pattern recognition. The strategy helps children understand concept of addition by representing number configurations on 5-frames and 10-frames, and reduces need…

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)

Tree diagrams with numbers in a given pattern generate questions related to pattern recognition and number concepts such as binary numbers and exponentials. (MP)

Ideas for teaching the concepts of percentage, recognition of patterns in percentages, percentage as a special ratio, ways of finding percentages, and fractional percentages 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)

Discusses that Gestalt principles are especially well suited to teaching music. Identifies the laws of proximity, similarity, common direction, and simplicity in the notation system. Suggests that music teachers use these principles by following a logical progression to teach students to improve musical skills, solve problems, and think in…

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)

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)

The brain works by making patterns, and this process can be visualized through a medium called visual tools. The book discusses three types of visual tools: brainstorming webs, task-specific organizers, and thinking-process maps. Sample lessons, assessments, and descriptions of visual tools in action are included. Emphasis is placed on the…

Acknowledging a growing national awareness of the need for direct instruction in higher order thinking skills within public education, this paper describes an instructional model for reinforcing thinking skills in the classroom, kindergarten through grade 12. Following an introduction justifying the model's reliance on the processing of…

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)