This brief report from the Indigenous Mathematics Project focuses on the way in which numerical reasoning is changing in the Oksapmin community of Papua New Guinea as a function of participation in new social institutions: economic exchange with currency and enrollment in school. Each of these new institutions means that arithmetic problems are…

If we are to say that mathematics deals only with numbers, then the assumption that having mathematics without language will undoubtedly be correct. To some extent this assumption is true but the main point that needs attention at this stage is how would it be ever possible to talk about mathematics without language. Language is the means of…

In a workplace literacy program designed by the International Union of Bricklayers and Allied Craftsmen and the International Masonry Institute, the basic skills of 615 participants were assessed in mathematics, reading, writing, presentation, listening-responding, and problem-solving at sites in Chicago, Los Angeles, and New York. Available data…

Based on suggestions of participants at the second annual Instructional Methods Forum held in June 1989, the monograph considers cognitive-based approaches to teaching mathematics to students with learning problems. It addresses identification of characteristics of successful cognitive approaches and the role of media and materials. An…

In order not to waste the time of the people working hard and sacrificing to become literate, literacy must offer them a real opportunity to change their life situation. Although many literacy programs are designed to fit the everyday lives and situations of their students, the same is not true for programs that teach arithmetic. Most adults…

This report presents findings from a study of the cognitive processes and learning difficulties of ninth-grade students in Algebra I. A clinical interview approach was used with 14 students. A group of six Hispanic students and a group of five Anglo students were enrolled in the same algebra class; three Hispanic students were enrolled in an…

This document reports in detail an investigation of the cognitive processes and learning difficulties of ninth-grade students in Algebra I. A clinical interview approach was used with 14 students. A group of six Hispanic students and a group of five Anglo students were enrolled in the same algebra class; a group of three Hispanic students who had…

This document provides an overview of the 1980 and 1981 Illinois Inventory of Educational Progress (IIEP) in mathematics. Development of the IIEP is discussed, and results and analyses of the tests administered to students in grades 4, 8, and 11 are presented. Test items are included. Factor analysis identified two factors, "knowledge of…

Since 1982, the National Council of Teachers of Mathematics has published a student periodical five times a year. Each four-page issue focuses on a single theme, developing it from a simple opening-page activity through more challenging extensions at a higher level of understanding. In this document each four-page issue published from September,…

This workbook was designed as an easy-to-read, slower-paced text for students who have learning, reading, and language problems. As one of five workbooks to aid low achievers in problem solving, it focuses on understanding what is known and unknown in mathematical problems and how to decide which operations to use to solve problems. Word usage and…

This study was conducted to determine whether young children, given the experience of Logo programming, would acquire problem-solving skills and be able to transfer those skills to other areas. The study also investigated Logo's effectiveness in teaching certain fundamental geometric concepts to children who were supposedly not developmentally…

The paper discusses the affective influences on students of problem solving instruction using computers, and the relationship of affective influences to student belief systems. It reviews affective issues and problem solving, and analyzes affect with particular reference to the work of G. Mandler. The paper considers types of congnitive processes,…

In this middle school mathematics unit two imaginary characters, Horatio and Portia, decide to make their fortune in Quincy Market (Boston, Massachusetts) running a Bull Market cart. In order to solve the problems that they encounter, they need to learn ratio and proportion, map reading, estimation, area and perimeter, population sampling, problem…

This manual was designed for use in conducting staff development sessions for elementary teachers of mathematics in Mississippi in grades K-6. The four topical areas treated in the document are: (1) measurement and geometry; (2) fractions; (3) procedural errors in arithmetic; and (4) problem solving. The number of instructional hours necessary for…

This book attempts to survey some of the current issues of mathematics teaching in elementary schools in Great Britain. Chapter one is an introduction to the material while chapters two and three examine recent reports and suggestions for change and discuss the place of mathematics in the elementary curriculum. Chapter four is devoted to an…