The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is…

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…

Provided is an activity designed to give grades 7-12 students opportunities to discover numerical patterns and to derive general conclusions from observing data. The activity focuses attention on patterns in products such as 33x34, 333x334, and 3333x3334. Three worksheets and answers are included. (JN)

The authors provide activities for overcoming some fraction misconceptions using calculators specially designed for learners in primary years. The writers advocate use of the calculator as a way to engage children in thinking about mathematics. By engaging with a calculator as part of mathematics learning, children are learning about and using 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…

Documents the experiences of two teachers and their kindergarten and first-grade students in working with calculators as an ongoing and integral component of their mathematical programs. Focuses on ways that the children and teachers use the calculator to develop ideas of number through explorations of numerals, counting, number magnitude, and…

The article relates the British PrIME (Primary Initiatives in Mathematical Education) Project to children with special educational needs doing mathematics. The project's main aim is to improve the mathematical understanding and teaching skills of primary teachers. Activities using calculators are described. (DB)

Presented are several suggestions for teaching elementary school mathematics with technology. Activities use calculators and microcomputers for teaching multiples. (RH)

Examines the idea that the arithmetic calculator can act as a cognitive tool, supporting the amplification or reorganization of systems of thought. Examples were found in which use of the calculator helped pupils work with unusual problem representations and adapt solution strategies in which they focused on planning and monitoring computations…

The article recounts a conversation with preschool students about calculators. The author found the children to be familiar with calculators. Also, the Calculator and Mathematics Project, Los Angeles (CAMP-LA), a project which assumes every child has a calculator, is briefly described. (PK)

New approaches to the teaching of introductory algebraic concepts are discussed. Their use in the Approaching Algebra Numerically Project in some middle schools in Ohio is reviewed. Some implications for use in Australian schools are considered. (MNS)

Takes issue with those who advocate the use of calculators in mathematics education. Rebutts four specific ideas relative to the use of calculators in school mathematics and argues that calculators may not be appropriate in teaching mathematics. (PK)

As momentum for change in U.S. education continues to grow, questions about the nature and goals of mathematics education take on increasing urgency. This report proposes a framework for reform of school mathematics mainly through reshaping of the mathematics curriculum. Chapters included are: (1) "A Rationale for Change," describing changing…

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…