This paper comments on the article by Plaut and Booth. Plaut and Booth's first simulation shows that there is essentially perfect discrimination between word and nonwords sharing the same orthographic structure when the simulation is carried out in the way we suggested. We take the view that Plaut and Booth's new simulation work settles little…

In this article, the author argues that there is a big conceptual difference between number lines and number strips and that number lines should be consistently used as early as Y1. Her interest in the use of the number line as a powerful image of the real numbers, and how this is introduced in the early years, comes from her own experience as a…

Reacts to an article published in a previous issue of this journal on the effects of graphing calculators and computer algebra systems (CAS) on students' manual calculation and algebraic manipulation skills. Considers the contribution made by Jean-Baptiste Lagrange to thinking about the role of CAS in teaching algebra. (ASK)

Discusses the efforts of one Japanese company that makes abaci to demonstrate that the abacus continues to be a feasible alternative as a calculator in the elementary school mathematics curriculum. Argues that the abacus improves number sense, mental computation, and mathematics achievement for students who use the abacus. (MDH)

This article reports on the English National Numeracy Strategy (NNS) and, in particular, on the way in which children aged from 8- to 11-years-old view "interactive whole class teaching". A qualitative, grounded study of both teachers' and children's perceptions of interactive teaching was undertaken, making use of "video stimulated…

After summing up the current status related to estimation and mental computation, what needs to be done to promote increased instruction on these topics is discussed. (MNS)

Describes two main categories of mental activity used by students in mathematics classes: mental mathematics and mathematical thought. Calls for the continuation of teaching mental mathematics and asks for the inclusion of mathematical thought in the national curricula. (MKR)

An example of an unrealistic "real world" problem from the National Assessment of Educational Progress highlights a comparison of school and "folk" mathematics. The failures of typical problems taught in school and some suggested remedies are featured. (MP) Aspect of National Assessment (NAEP) dealt with in this document:…

The problem of innumeracy in general and at the primary school level in particular is attributed to a structuralist design of instruction emphasizing an algorithmic approach to arithmetic. Offered is an alternative learning approach developing arithmetic as an informal context-bound activity tied to mental arithmetic and estimation. (MDH)