Research on the psychological processes involved in early school arithmetic has now accumulated sufficiently to make it possible to construct a coherent account of the changing nature of the child's understanding of number during the early school years. This monograph presents an account of how number concepts are extended and elaborated as a…

This collection of papers was solicited from a variety of educators in an effort to provide direction to teachers, curriculum developers and textbook publishers on topics in mathematics education that are consistently mentioned in recent national reports and study groups. The consensus of reports sponsored by various professional associations…

This issue contains abstracts and critical comments for 10 papers. The reports are concerned with: (1) children's inferencing behavior; (2) instruction related to problem-solving and basic skills for seventh grade students; (3) remediation of children's subtraction errors; (4) investigation of young children's academic arithmetic contexts; (5)…

The kindergarten level curriculum guide for bilingual education of Arabic-speaking children in the Chicago public schools is divided into two difficulty levels and is designed to facilitate acquisition of mathematical concepts by presenting them in the children's native language. At each level, the concepts covered include the meaning of numbers,…

This publication contains seven papers by the staff of the University of Exeter School of Education and by invited outside contributors. The focus is on issues that consider the social context of mathematics. The papers are: (1) "Images of Mathematics" (Leone Burton); (2) "Of Course You Could be an Engineer, Dear, but Wouldn't You…

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 preapprenticeship preparation curriculum consists of 13 learning modules. Covered in the modules are the following: the nature and scope of apprenticeships, a pretest to assess students' mathematical skills, the General Aptitude Test Battery, interviews for an apprenticeship program, whole numbers, common fractions, decimal fractions,…

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…