In a recent edition of "Mathematics Teaching" Midge Pasternack argued the case for the use of the 0-99 square with young children rather than the ubiquitous 1-100 square. In this article, the author would like to take the opportunity to mount a defence in favour of the much maligned 1-100 square. His main criticism of the 0-99 square (apart from…

Magic squares have been of interest as a source of recreation for over 4,500 years. A magic square consists of a square array of n[squared] positive and distinct integers arranged so that the sum of any column, row, or main diagonal is the same. In particular, an array of consecutive integers from 1 to n[squared] forming an nxn magic square is…

Through the importance of the number three in our culture and the strange preference for a ternary pattern of our nature one can perceive how and why number theory degraded to numerology. The strong preference of our minds for simple patterns can be read as the key to understanding not only the development of numerology, but also why scientists…

The study reported in this article describes second language (L2) vocabulary learning outcomes associated with adult L2 reading comprehension processes, thus connecting L2 learning with the complex cognitive and linguistic processing involved in reading. The study aimed to determine whether background knowledge moderated the relationship between…

A three-page questionnaire was modified to a one-page format. Questionnaires were administered in classroom groups to 300 middle school students. Classrooms were randomly divided into two groups, with one group receiving the original three-page format and the other receiving a single-page version of the same questionnaire. The visual layout of the…

Purpose: This paper seeks to examine the spatial patterns of student use of machines in each laboratory to whether there are underlying commonalities. Design/methodology/approach: The research was carried out by assessing the user behaviour in 16 computer laboratories at a regional university in Australia. Findings: The study found that computers…

This study investigated the functions of annotations, the role of annotations in markers' decision-making processes, whether annotations conform to conventions, and whether these vary according to subject area. Across subjects a number of scripts were analysed to survey which annotations are subject specific and which are more general. Twelve…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

This paper presents evidence that four design principles commonly embodied in artificial knowledge systems are inconsistent with human cognitive capabilities. Because these principles are widely accepted as characteristics of human knowledge processing, common theoretical properties related to cognitive psychology and artificial intelligence which…

A method of summing finite sequences by use of formal power series techniques is described. (SD)

The purpose of this study was to determine the extent to which verbal processes influence recognition memory for visual scenes in preschool children. Children were shown line drawings of 12 pairs of items and were asked to describe them. One week later, a recognition test was given in which ability to remember elaborated and unelaborated pictures…

The author shows how a rapid computational "trick" can lead to an investigation of Fibonacci-type sequences. (SD)

The invention involves a device with learning capacity which contains input, storage, arithmetic and output units. In order to increase the number of recognizable patterns, facilitate replacement of one pattern by another, and also increase the speed of the device, the memory unit for the input field is connected to memory units for storage of…