The author advocates for writing as an essential communication skill for learning mathematics. Mathematical diary writing is cited as a good way for students to privately represent their thinking through pictures, language, or symbols, and also as a channel for children to communicate with themselves and with their teachers. Cited research…

We present a summary of a study carried out with students of the first year of Bachillerato (the first of two pre-university non-obligatory secondary education courses in Spain) to determine and analyse some of their errors and difficulties in learning inequalities with the aim of improving the teaching-learning process of this topic. The study…

Children's reported use of single and multiple search strategies during a matching numbers task, along with accompanying verbal (private speech, self-talk) and motoric (finger pointing, place-holding) strategic behaviors were examined with a large, nationally representative cross-sectional sample ("n"=1,979) of children between the ages of 5 and…

We consider human performance on an optimal stopping problem where people are presented with a list of numbers independently chosen from a uniform distribution. People are told how many numbers are in the list, and how they were chosen. People are then shown the numbers one at a time, and are instructed to choose the maximum, subject to the…

Calculators can be used in primary schools in a number of situations. They are most beneficial when working with large numbers, dealing with real data that leads to complex calculations, performing repetitive calculations, developing concepts, estimating and checking, problem solving, and looking for patterns and/or relationships. But what if the…

A major goal of instruction is for students to develop competence with numbers. This study attempts to determine the effect of instructional materials that develop number concepts and connect these concepts to mental computation procedures. The study used 16 classes of eighth-grade students and a pretest-posttest design with two treatment groups.…

An international numeracy scale compared how well adults in seven countries--the United Kingdom, France, Netherlands, Sweden, Japan, Australia, and Denmark--handled some basic tasks involving numbers. The questionnaire comprised a set of 12 numeracy tasks that respondents were asked to complete using pen and paper. Within each country, the…

This book is written to answer commonly asked homework questions of fourth, fifth, and sixth graders. Included are facts, charts, definitions, explanations, examples, and illustrations. Topics include ancient number systems; decimal system; math symbols; addition; subtraction; multiplication; division; fractions; estimation; averages; properties;…

Increasing attention is being paid today to the place of science in general education at the preprimary, primary, and secondary levels. Educational authorities and specialists in many countries throughout the world agree about the important role that science should and can play in the context of education, but specific aims and objectives must be…

This learning module is intended as a worksite-specific example of a curriculum that addresses the specific job-related language needs of nonnative speakers of English. The module, which is designed to be presented in three 10-week sessions, focuses on different parts of the work orders typically encountered by workers in two different departments…

The National Council of Teachers of Mathematics (NCTM) recommended the use of calculators in the classroom in 1989. While calculators are more readily available in classrooms today than they were a few years ago, the recommendation is rarely followed in elementary grades. One of the reasons for this is a lack of appropriate classroom materials.…

This guide is organized around a list of skills that all students should know and be able to do at each grade level from kindergarten through sixth grade. It provides parents, teachers, and students with knowledge of what is being taught in a logical scope and sequence by grade level. The purpose of this guide is to help build a basis for…

Useful for both linguists and laymen because of its scientific validity and accuracy, the second edition of the Papago/Pima-English dictionary gives full definitions for over 5,000 entries. Beginning with a practical alphabet for Papago-Pima and a guide to the dictionary, the book is divided into two parts. In addition to the lexical entries, Part…

The purpose of the project was to develop computer games that could be used by students in grades 1-4 as part of their mathematics instruction. Eight games were developed, covering a wide variety of mathematical topics, including number/numeration, computation, geometry, measurement, statistics, and probability. The games were field tested in 20…

In this statement the Instructional Affairs Committee of the National Council of Teachers of Mathematics identifies and justifies nine key uses of the hand-held calculator in the mathematics classroom. Examples of each use are provided. This article also appears as SE 515 578. (SD)