This study explores pupils' performance and processes in tasks involving equations and inequalities of complex numbers requiring conversions from a geometric representation to an algebraic representation and conversions in the reverse direction, and also in complex numbers problem solving. Data were collected from 95 pupils of the final grade from…

This study is based on a sample of about 100 languages with numeral classifiers. An attempt is made at reconstructing the dynamics of the process by which such systems arise, develop, and decay. Among the hypotheses advanced are the following: (1) numeral classifiers involve the overt expression of one kind of quantification, namely, counting by…

Investigates the arithmetic curiosity that when any integer is raised to the fifth power, the digits unit of the result is always the same as the digits unit of the original number. Explores results in number bases other than 10 via the computer. (PK)

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

This study considered ways of improving mathematical outcomes for urban Indigenous students. It focused on three primary schools in Western Australia and identified factors that were perceived to be having an impact on student learning. These included expectations for students, attendance rates, parent involvement, student literacy levels, student…

National tests, an influential assessment practice in many countries in East Asia, are often blamed as obstacles to good instructional practices. In this paper, the positive impact of assessment, national tests in particular, is discussed using the case of Singapore. The first part of the paper includes an analysis of items from the primary grade…

This document contains a workshop presentation for elementary mathematics teachers. The purpose of the workshop is to demonstrate methods for teaching computational concepts beginning with concrete materials and moving to expressing these concepts abstractly with numerical symbols. Section headings are: (1) "Introduction"; (2) "Sorting and…

The third 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. Topics include measurement and geometrical…

This article reports research findings from a 21-month empirical project called "Making Numeracy Teaching Meaningful to Adult Learners," which was funded by the National Research and Development Centre for Adult Literacy and Numeracy (NRDC). It looks at motivations behind adult learners returning to study numeracy in three FE colleges, and finds…

In this study, Piagetian theory is extended to explore ways in which children construct their understanding of our notational system and place value. Eighty children aged 4 to 9 were asked to group objects, draw pictures of grouped quantities, write numerals to indicate amounts, and theorize about the relationship between their written numerals…

The system of International Standard Book Numbers uses a check code based on modular arithmetic. This system, the use of a simple machine to compute check digits, and related classroom activities are described. (SD)

Activity questions based on the prime factorization of numbers can be answered by reference to the lattice structure of factors. (SD)

Activities involving set union and intersection, graphing solutions of open sentences, and negation are described. These activities afford students with opportunities for computational practice as well as instruction on equations and inequalities. (SD)

The author observes that checking the closure property is redundant for most number systems and therefore hard for students to understand. He defines several systems which are not closed, develops two concepts related to closure, and provides many related examples. (SD)