A learning activity relating modular arithmetic to patterns of figures determined by points equally spaced around a circle is described. (SD)

Three worksheets provide exercises involving triangular arrays of numbers. (SD)

Geometric concepts and theorems can be discovered by high school students using the materials described. Among the topics explored are Platonic solids and Euler's formula. (SD)

A model for multiplication is described and used to discuss the properties of division. (SD)

This chapter describes current research in cognitive psychology and considers how this work may be applied to the design of instructional materials. The nature of knowing--and of meaningful knowing--are examined, and findings from psycholinguistics and pattern recognition are integrated to provide an understanding of concept and memorization…

Black and white kindergarten and second-grade children were tested for accuracy of detection and recognition of orientation and location changes in pictures of real-world and geometric figures. The purpose was to test children's ability to detect and remember objects in a visual display. (Author/CS)

Games for use in practicing rounding numbers and mental computation using tens and hundreds are described. The importance of estimation to computation is discussed. (SD)

The role of a hypothetical metalinguistic semantic component is assessed and contrasted with the role of a semantic component derived from the very words on the printed page, and this in turn is contrasted with the influence of the graphemic, pattern analyzing component of sentence memory. (Author/DEP)

The use of paper folding to demonstrate polygons which give plane tessellations, conic sections, and the solutions to several problems is described. (SD)

The gain in word analysis for elementary school students tutored in a perceptual-conditioning approach was reported. Subjects were 98 first graders, 41 fourth graders, and 16 fifth graders. The approach instructionally separated the teaching of decoding from the teaching of comprehension; only single whole words were used and always out of…

A signature tree is a binary decision tree used to classify unknown patterns. An attempt was made to develop a computer program for manipulating signature trees as a general research tool for exploring machine learning and pattern recognition. The program was applied to the problem of speech recognition to test its effectiveness for a specific…

Using the two posters in this article, students are to search for patterns as a way of counting different types of squares and cubes obtained from a larger square or cube that is printed on the outside edge or surface. (MP)