This textbook of Nepali lessons is a revision of a text originally developed in 1965. Materials are divided into seven units and are organized to follow an audiolingual approach with pattern drills. The numeric system of Nepali is also outlined. A Nepali-English glossary is included, with both romanized and script versions of Nepali words, as well…

The purpose of this article is to highlight and discuss the role of language as the link between experiences with number patterns and the emergence of algebraic notation. Discussed is a recommended approach. A sample of a written student response is provided. (CW)

Described is an activity in which students develop their own number system. This activity allow students to examine the structure and history of number systems and to discover the power and respectable efficiency of the number system used today. (KR)

Whenever teachers of young children get together there will be differences of opinion about how far children should be taught to count. Some will argue that the focus should be on small numbers to 9, building up the notion of what, say, the name 5 means, what it looks like, and how it can be represented. Others argue that with ice blocks retailing…

In this article, the author reports findings from a project designed to explore approaches for improving students' mathematical learning outcomes in relation to the base ten number system. The project explored the role of a commonly used teaching activity, referred to in the project as the "base ten game," in developing children's…

Presents eight points to emphasize when teaching the concept of place value. Contends that converting numbers from one base to another helps students understand the concept of place value and the importance of context in establishing meaning. Provides a BASIC computer program to make conversions. (MDH)

Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…

This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

This two-volume teacher's guide is to be used with a first-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools are…

This two-volume teacher's guide is to be used with a second-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools…

IN THIS STUDY ON THE EFFECTS OF STRUCTURE AND SEQUENCE ON ADULT LEARNING, 96 ADULTS UNFAMILIAR WITH NUMBER BASES AND RANGING IN AGE FROM 23 TO 53 WERE RANDOMLY ASSIGNED TO FOUR DIFFERENTIALLY STRUCTURED INTRODUCTORY MATERIALS (HISTORY OF MEASUREMENT, BASE TEN, BASE SEVEN, OR PRINCIPLES OF NUMBER BASES) AND TO THREE DIFFERENTIALLY SEQUENCED…

Fourth grade children (n=20) were matched on a pretest and randomly assigned to either a wooden base-10 block or computerized microworld group. Instruction was designed to establish relationships between notation and meaning, extending whole number numeration to decimal numeration. Neither group changed whole-number notational methods nor had…

This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…

This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…

The Proceedings of PME-XI has been published in three separate volumes because of the large total of 161 individual conference papers reported. Volume I contains four plenary papers, all on the subject of "constructivism," and 44 commented papers arranged under 4 themes. Volume II contains 56 papers (39 commented; 17 uncommented)…