This article is about the students' investigation about the relationship between the diameter of the view tubes (x) of constant lengths and the viewable vertical distance (y) on the wall while keeping the perpendicular distance from the eyeball to the wall constant. The students collected data and used and represented it in tabular and graphical…

This paper examines the extent to which mathematical knowledge, and its related pedagogy, is inextricably linked to the tools--physical, virtual, cultural--in which it is expressed. Our goal is to focus on a few exemplars of computational tools, and to describe with some illustrative examples, how mathematical meanings are shaped by their use. We…

Purpose: The purpose of this paper is to examine if university students could accurately extract information from graphs presented in 2D or 3D formats with different colour hue variations or solid black and white. Design/methodology/approach: Participants are presented with 2D and 3D bar and pie charts in a PowerPoint presentation and are asked to…

Among the practical applications of statistics is the collection of data from manufacturing processes. Often collected in the form of a time series, data collected from a series of measurements show the variation in those measurements, such as mass of a product manufactured. Limits are set for quality control and if these are exceeded then a…

In this study, I examine the role of dynamic geometry software (DGS) in curricular proof tasks. I investigated seven US high school geometry textbooks that were categorised into three groups: technology-intensive, standards-based, and traditional curricula. I looked at the frequency and purpose of DGS use in these textbooks. In addition, I…

It is difficult to examine the effectiveness of technology-based courses (TBC) without understanding the design and application in classrooms. There is evidence of disconnects among the theory for designing, the theory used to apply TBCs in classrooms, and the theory used to research and evaluate TBCs [Hickey, D. T. (1997). Motivation and…

This article describes how the author used a wiki-based website in a real analysis course, and assesses its effectiveness. The wiki was used to post course materials, maintain a forum, enable students to write collaborative projects, and enable students to develop a glossary of important terms. The wiki proved to be very successful; it facilitated…

Some interesting and unusual loci are generated by a familiar mechanical system.

Reviews two software programs: "The Graph Club" which makes learning graphs "magical and exciting"; and "WiggleWorks," an "exciting" reading curriculum on CD-ROM. (SR)

Despite of much focus on professional development aimed specifically at developing teachers' technology integration skills, rigorous studies of effective PD (professional development) are lacking. Evidence is also lacking on how these skills can best be integrated with pedagogical and content knowledge to improve student learning. The purpose of…

In this article, the author describes a lesson he observed involving a function machine. This function machine was a box with a slot at the top of one side and a large cut-out hole at the bottom of the opposite side. A card with a number written on it (the input) was pushed into the slot and the teacher put their hand through the hole of the other…

The literature that is available on the topic of representations in mathematics is vast. One commonly discussed item is graphical representations. From the history of mathematics to modern uses of technology, a variety of graphical forms are available for middle school students to use to represent mathematical ideas. The ideas range from algebraic…

The study of a real function of two real variables can be supported by visualisation using a Computer Algebra System (CAS). One type of constraint of the system is due to the algorithms implemented, yielding continuous approximations of the given function by interpolation. This often masks discontinuities of the given function and can provide very…

This paper shows the basic concept of Functional Modelling in mathematics education which has become more and more important in recent years. Hence it is necessary to think about suitable graphical methods to explain the fundamental idea of a function and its influence on values and other functions. PROGRAPH diagrams are a potentially good way to…

Games are widely recognized for their potential to enhance students' learning. Yet they are only rarely used in classrooms because they cannot be modified to meet the needs of a particular class. This article describes a novel approach to creating educational software that addresses this problem: provide an interface specifically for teachers that…