Studied number use in language by preschool children and their mothers during cooking experiences. Found that although children used a variety of number words, mothers made greater use of number words than did children. Strong relationship between reciprocal numeracy episodes (between mother and child) and child's number use suggests that adult…

This article describes a series of mathematics activities based on the book "A Grain of Rice," which are designed to help students understand powers of 2. Ideas for activities in other disciplines are also provided. (Contains 3 tables.)

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…

One explanation for the relationship between serial rapid naming (SRN) and reading is that SRN affects the temporal proximity of the phonological activation of the letters in a word, which, in turn, influences the acquisition of orthographic knowledge. To test this hypothesis, a group of Dutch first grade children was trained in the rapid serial…

This study examines one child's use of computational procedures over a period of 3 years in an urban elementary school where teachers were using a standards-based curriculum. From a sociocultural perspective, the use of standard algorithms to solve mathematical problems is viewed as a cultural tool that both enables and constrains particular…

A sequence of number pairs can be used to generate many interesting examples in teaching mathematics subjects at various levels. It is often used in elementary or middle school mathematics classes to illustrate the concept of "patterns." In this paper the authors present a few interesting ways of using this sequence to form examples for high…

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…

In this article, the authors would like to look at a range of solutions submitted by Year 4-5 teams in the 2003 "Naturally Mathematical Challenge" to a question that involves no more than the numbers 1 to 6 and possible arrangements of them. In the context of other competition questions and in their elaboration of mathematical process,…

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)…

The Proceedings of PME-XVII has been published in three volumes because of the large number of papers presented at the conference. Volume I contains a brief Plenary Panel report, 4 full-scale Plenary Addresses, the brief reports of 10 Working Groups and 4 Discussion Groups, and a total of 23 Research Reports grouped under 4 themes. Volume II…

The Proceedings of PME-XVIII have been published in four separate volumes because of the large number of individual conference papers reported. Volume I contains brief reports for 11 Working Groups and 8 Discussion Groups, 55 "Short Oral Communications," 28 Posters, 5 Plenary Panel reports, and 4 Plenary Session reports. Volume II…

This dictionary covers the Central Yup'ik Eskimo language spoken in southwestern Alaska. An introductory section provides notes on Yup'ik phonology and orthography, outlines the volume's format, discusses several special issues in translation and phonology, and describes a number of dialects. The main section of the dictionary lists base words,…

This kit contains observation matrices for on-going assessment and end of the year evaluation for grades 1 through 8. Each matrix is divided into the areas of numeration, geometry, patterns, measurement, problem solving, data, and computation. Performance indicators indicate four levels of proficiency where Level I indicates minimal performance…

The development of the place value system and its universal use demonstrate the elegance and efficiency of mathematics. This paper examines the concept of place value by: (1) presenting the historical development of the concept of place value in the Hindu-Arabic system; (2) considering the evolution of the number zero and its role in place value;…