This teaching guide contains material, for students in grades 6-9, in which a calculator is used in exploring and developing generalizations about quotient patterns generated from various polygons drawn on a hundred square. Includes suggested procedures and four ready-to-duplicate student worksheets. (JN)

Interpretation of rational numbers as fractions, ratios, percentages, and quotients of integers are discussed. Then coding conventions are noted, and equivalence classes are described. Finally, density and order are discussed. (MNS)

Some number investigations on the multiplication table are provided by a sequence of four activity sheets. Beginning with examples of triangular and square numbers, the activities lead to the generalization. (MNS)

Four-year-old (N=45) children were trained for eight weeks in one of three conditions: (1) logical foundations (classification and seriation); (2) number skills (counting); and (3) control. The experimental treatments were based on the logical foundations model of Piagetian theorists and a skill integration model. (Author/BS)

Instructional strategies that will develop the concept of a fraction are presented. Fractions as counting numbers, measures, and subdivisions are included, with a combination of regions and number lines suggested as a teaching aid. (MNS)

Three activities on the right justified multiple triangle are presented. The activities are designed for use in practicing computational skills and for discovering number patterns. (JN)

A game for working on number skills is described. (DT)

A method is described for working multiplication problems by counting on fingers. (DT)

A method is explained for using right triangles on a geoboard for determining the greatest common factor and least common multiple of two numbers. (DT)

The development of proportional reasoning has long been recognised as a central but problematic aspect of mathematics learning. In a Year 6 teaching intervention the part/whole notion of fractions was distinguished from the part: part notion of ratio, and the "between" and "within" relationships in ratio were emphasised.…

There are two purposes in this study. One is to compare how 7th and 8th graders reason on linear and quadratic geometric number patterns when they have not learned this kind of tasks in school. The other is to explore the hierarchical relations among the four components of reasoning on geometric number patterns: understanding, generalizing,…

This companion database to the Mathematics Comparison Study consists of the entire set of all the general and specific outcomes that were referenced in the report. The database is being released in response to requests made during the review of the draft document in June, 1999, for more information. In the main report, only codings for the general…

What should constitute a preschool mathematics program for children ages 3 and a half to 5 years? What mathematical ideas could youngsters explore? This paper discusses six broad mathematical concepts for investigation by preschoolers: number, space and location, shape, patterns, measurement, and permutations. For each big idea, activities are…

This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only upper elementary level mathematics skills. Activities are…

The Nevada Mathematics Standards provide the framework for a comprehensive K-12 mathematics program and guide curriculum, instruction, and assessment as well as other policies and practices that affect student learning. The standards are intended to serve as a foundation for teachers and curriculum specialists as they create curriculum and adopt…