This collection of readings is primarily addressed to the teachers of the academically talented in mathematics. The readings touch upon a variety of topics, with a special focus on problem solving, applications and mathematical structure. The introductory article discusses the role of enrichment in teaching mathematics. The remaining four sections…

This document is the final report of the Regional Training Workshop for the Development of Materials for Mathematics Education in Asia and the Pacific, using a problem-solving approach. The workshop was committed to identifying materials which are readily available at low cost, in sufficient quantities to be used by children in classrooms in any…

This document presents 20 activities for grade 1 students and emphasizes using a calculator. It is related to topics from a primary mathematics curriculum. Mathematical topics addressed include counting, addition and subtraction, the commutative property, greater than and less than, and place value. Each activity includes a statement of skills to…

This issue contains abstracts and critical comments for 11 articles. Three articles focus on problem solving; the remainder concern understanding of the equals sign, mathematical structure, mathematical abilities, the role of language in tasks involving sets, sex differences in mathematical errors, subtraction, algorithms as schemes, and…

The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…

Research supported by a grant from the Carnegie Corporation.

Using data collected in 1977-78, the Evaluation System has computed fall and spring mathematics scores on the Prescriptive Mathematics Test (PMT) for classes of students in grades one through six. In addition, relationships of performance on the PMT to class size, attendance, percent of males in the class, number of different test levels used in a…

The Pennsylvania Preschool Inventory (PPI) was developed as a straight-forward and efficient measure of the relative cognitive development of the young child, offering an alternative to more complicated, elaborate assessment instruments. Results of the inventory are potentially relevant to both current and future school success of children between…

The uses of verbal rules in solving arithmetic problems are presented. Thirty-six problems were used in individual testing of five students who were enrolled in a remedial mathematics course at a community college. Two or three weeks prior to the individual exams, the students had been tested in their class on the material. The study indicated…

Presented are the results of an investigation of stimulus integration capabilities of three- and four-year-old children in judgments of small and large numbers. There is much evidence that suggested young children have a concept of number for small numbers, but not for large ones. A concept of number was hypothesized by Piaget to rest on the…

The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…

A study was conducted to examine the learning of mathematical concepts by English dominant and Spanish dominant primary school children. The concepts considered were number, numeration, and computational procedures. Using the case study method, a three step procedure was designed to study individual math objectives: (1) objectives were first…

This book is intended to make common fourth-grade mathematical concepts both interesting and easy to understand. The text is designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. The reading level required of pupils has been reduced. Individual chapter titles are:…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This mathematics curriculum guide for grades K-8 was developed and evaluated by teachers in the Seaford School District, Delaware. It sets out concepts and skills to be mastered at each grade level. Suggested learning activities are described for each curricular objective identified. The curricular topics addressed include number concepts,…