This guide represents the final experimental version of a pilot project conducted in the United States between 1973 and 1976. The ideas and manner of presentation 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 guide is intended to familiarize Americans with the basic structure of Hmong sentences and with words or phrases that may be useful with Hmong refugees. Hmong is represented in the Romanized Popular Alphabet. Following a general discussion of pronunciation and tone in Hmong, the structure of basic, compound, and complex sentences is…

The second of four quins intended to develop computational skills with non-negative rational numbers through applications to business and industry, this guidebook on minimum course content is designed for the student who has acquired basic computational skills with non-negative rational numbers. Overall course goals are specified, a course outline…

This conference proceedings contains 135 research reports, 73 short oral reports, 30 poster session reports, 4 plenary addresses, 3 research forums, 6 project groups, and 5 discussion group reports. Only the research reports, research forums, and plenary addresses are full reports; the others are generally one-page abstracts. The first volume…

Focuses on student organization, preparation, and presentation of simple foods (beverage, brownies, sloppy-joe sandwiches) as a way to apply various mathematical concepts, with problem-solving techniques being central to almost all the activities. Includes reproducible student worksheets. (MKR)

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)

Presents activities for the K-2, 3-4, 5-6, and 7-8 levels focusing on the role of numbers and language in real-world situation. Students are asked to discuss, describe, read, and write about numbers they find in toy shops, the post office, in sports, and at airports. Provides appropriate worksheets. (MDH)

Describes a program in second-grade Dutch mathematics classes that emphasizes mental addition and subtraction of two-digit numbers up to 100. Deals with a strategy of counting by 10s from any number. (Contains 56 references.) (RLB)

This article explains how to teach long division using hands-on materials (skittles, base ten blocks, colored counters, numeral cards) and investigates reviewing division word problems with middle school students (N=27) with learning disabilities in mathematics by this approach compared to spending the same amount of time on the typical practices…

To develop their logico-mathematical foundation of number as described by Piaget (1947/1950, 1967/1971, 1971/1974), 26 low-performing, low-SES first graders were given physical-knowledge activities (e.g., Pick-Up Sticks and "bowling") during the math hour instead of math instruction. During the second half of the school year, when they showed…

The National Council of Teachers of Mathematics (NCTM) has articulated goals in the pursuit of mathematics literacy that include learning to value mathematics, becoming confident in one's mathematics abilities, becoming a mathematical problem solver, learning to communicate mathematically, and learning to reason mathematically. Literature that…

This document reports on a small-group teaching experiment whose goal was to understand how fourth- and sixth-grade children develop concepts of common and decimal fractions. Both the Grade 6 and the Grade 4/5 children were taught common and decimal fractions through discussion and by using manipulatives, beginning with basic concepts of common…

This package contains student and teacher handbooks and a report summarizing a project during which the handbooks were developed as part of a numeracy education course for adult basic and literacy education students. Discussed in the project report are the following: development of the course's 7 numeracy education units, field testing of the…

A collection of articles from the journals "Arithmetic Teacher" and "Teaching Children Mathematics" provide ideas for the instruction and use of teacher-made instructional aids. Guidelines used to select articles for this collection called for the articles to have a clear purpose and be related to a contemporary topic in the elementary school…

This publication compiles a series of 18 articles originally published in 1989-91 in the Arithmetic Teacher on implementing the National Council of Teachers of Mathematics (NCTM) K-8 curriculum standards. The articles and references in the bibliography are organized into five groupings: (1) "Themes That Cut Across Mathematics," covering…