In this article, the author responds to a teacher's request for an advice on how to help a 5-year-old child in her class who has difficulty moving from place to place. The author states that the child has a problem on processing information and sensations that have to do with what he sees. This is called "visual-spatial processing" or…

Emphasis on problem solving in mathematics has gained considerable attention in recent years. While statistics teaching has always been problem driven, the same cannot be said for the teaching of probability where discrete examples involving coins and playing cards are often the norm. This article describes an application of simple probability…

Native ant species do not exist on the island of Maui, the second largest of the Hawaiian Islands. However, one ant, the little fire ant (LFA or "Wasmannia auropunctata") has recently appeared in the region, being discovered on the Big Island of Hawaii in 1999. As a result, the LFA is a serious impending threat to Pacific biodiversity.…

The purpose of this paper is to present evidence supporting the conjecture that graphs and gestures may function in different capacities depending on whether they are used to develop an algorithm or whether they extend or apply a previously developed algorithm in a new context. I illustrate these ideas using an example from undergraduate…

In this paper, we take a look at two electrostatics problems concerning hemispheres. The first problem concerns the direction of the electric field on the flat cap of a uniformly charged hemisphere. We show that the symmetry and principle of superposition coupled with Gauss's law gives a delightfully simple solution and then go on to examine how…

This paper uses a partial differential equation which occurs in a reduced model of large scale circulation in an ocean basin as an educational vehicle through which to demonstrate the usefulness of a set of mathematical techniques in analysing the equation. A parameter occurring in the equation does in reality vary from very small through…

A novel course, "Participation in Research Program (PRP)" in life sciences is open for 1st to 3rd year undergraduates. PRP introduces the principles of a variety of biological methods and techniques and also offers an opportunity to explore some specific knowledge in more detail prior to thesis research. In addition, the PRP introduces some…

This paper, the first of a two-part article, follows the trail in history of the development of a graphical representation of the complex roots of a function. Root calculation and root representation are traced through millennia, including the development of the notion of complex numbers and subsequent graphical representation thereof. The…

In this article, framed as a conversation, the authors discuss the learning resulting from a variety of geometry tasks they have conducted with their students. None of them are convinced that all the geometry tasks within the numeracy strategy prescribed in English schools are necessarily good for children or aimed at the right age range. Using…

This article presents a story of Robert Andrew's mental engagement with mathematics. It has been jointly written by Robert, who is a Y8 student, and his father, Paul Andrews, who is a mathematics educator. It starts with Robert who presents the context for the story and is followed by Paul's commentary which draws on what Robert has written.…

This article deals with the increasing academic pressure facing five-year-old children who are in kindergarten schools in the U.S. Part of the reason kindergarten is becoming more and more academic is a growing understanding of the importance of early learning and the capabilities of young children. Proponents of ramping up standards in early…

Before the advent of symbolism, i.e. before the end of the 16th Century, algebraic calculations were made using natural language. Through a kind of metaphorical process, a few terms from everyday life (e.g. thing, root) acquired a technical mathematical status and constituted the specialized language of algebra. The introduction of letters and…

The Faculty of Electrical Engineering, University Technology Malaysia is currently moving towards a Problem-Based Laboratory implementation rather than the conventional instructional-based laboratory for final year students. The laboratory has commenced session with about 500 students' registration in the 2007/08/1. The Problem-Based Laboratory…

This book includes two main sections: a discussion of problem solving and a section on computation with whole numbers. A primary theme of the text is that problem solving sets the stage for meaning and conceptual development with respect to numbers. The section on problem solving includes numerous problem-solving activities that have a dual…

With the current focus in mathematics education on the importance of developing students' conceptual understanding, fluency with the language of mathematics, critical thinking, and working mathematically, teachers are constantly expected to design challenging and investigative tasks that can engage and motivate students in their learning of…