Reports results of interviews in which students were asked to illustrate three interpretations of fractions: a unit subdivided into equal-sized parts; a set subdivided into equal-sized parts; and a ratio. Two areas of difficulty in giving reasonable representations are discussed. Proposes teaching suggestions to overcome these difficulties. (MDH)

Features activities designed to enhance students' spatial reasoning ability combining geometry, language arts, and visual arts. (ASK)

Examines the mathematical sense-making of eighth-grade students as they use physical devices to learn about linear functions. Suggests the concept of transparency as an index of access to knowledge and activities rather than as an inherent feature of objects. Concludes that transparency is a process mediated by unfolding activities and users'…

This article discusses how children learn to understand the decimal system in very concrete ways, while having fun using beads. When counting the beads, the children learn 5,491 is not simply "five thousand four hundred and ninety-one" but actually 5 thousands, 4 hundreds, 9 tens, and 1 unit. They begin to understand that as they get 10 units,…

Activities and games which use dominoes to reinforce basic arithmetic skills are presented. Instructions and materials are provided for the activities and games, most of which involve addition and subtraction. Other skill areas which are covered include recognition and matching of domino patterns, multiplication, and division. A seven-item list of…

The purpose of this booklet is to help teachers design and select appropriate mathematical problems for the early childhood years. Organizing the classroom for problem-solving sessions is its secondary focus. The material was gathered in early 1970s and first appeared in the National Council of Teachers of Mathematics' Thirty-Seventh Yearbook,…

The articles in this collection of readings come principally from the last ten years of the "Arithmetic Teacher." The emphasis is on teaching mathematics in grades K-6, although some articles may include teaching ideas and activities for grades seven and eight. Articles on measurement geometry are not included; the focus is on the development of…

The Mathematics Pentathlon is a tournament of mathematics games held each spring since 1979 to promote the development of mathematical concepts and skills while fostering interaction among the educational community. There are five games in each of four divisions, for grades K-1, 2-3, 4-5, and 6-7. The focus is on active problem solving and…

The Mathematics Pentathlon is a tournament of mathematics games held each spring since 1979 to promote the development of mathematical concepts and skills while fostering interaction among the educational community. There are five games in each of four divisions, for grades K-1, 2-3, 4-5, and 6-7. The focus is on active problem solving and…

The book's practical classroom strategies and activities are designed to help teachers individualize instruction for children with developmental ages of 3-7 years. Part I offers suggestions for organizing the special educator's schedule and workload (including such topics as reviewing the individualized education program, developing a weekly…

Activities in this edited volume of reprints from the Mathematics Teacher were selected in response to recommendations made by the National Council of Teachers of Mathematics for improving curriculum content. Specific areas addressed are problem solving, expanding basic skills, using calculators, using computers, and using manipulatives. Each…

The purpose of this manual is to present a series of lessons on solving word problems, each focusing on a specific concept. The solving of story problems should be incorporated into the daily mathematics lesson so that children can maintain and increase their skills. The lessons are sequenced according to their complexity. Lessons one through…

The director of an Early Childhood Development Center located in the Southeast United States developed a practicum to provide Spanish instruction for preschool children. The main goal of the practicum intervention was to increase the Spanish vocabulary of 18 children of 5 years of age by 30 words over a 10-week period. Spanish words were presented…

From a special 8-part series, describing the individual summer experiences of 79 typical elementary teachers.

To be used with the second unit of the bilingual social science program developed for grade one, these revised supplementary teaching materials and the ditto packet are designed to help the teacher carry out learning activities which center on the concept of the child and his family. A timetable for when these materials are to be used is given in…