This article gives an example for using Dynamic Geometry Software to encourage making conjectures, reasoning, and experiencing mathematics as a process.

The famous Birthday Problem is a staple in introductory probability texts and can be stated as follows: What is the probability that at least two persons from "n" randomly chosen persons have the same birthday? In this article, the author suggests an adaptation of the birthday problem which can be repeated in class until the full effect…

Circle Geometry, a senior mathematics topic, is often regarded as time-consuming and associated relational concepts difficult for students to grasp. Units of work that introduce students to circle geometry theorems are frequently described as a string of tedious constructions. This article explores teacher-designed dynamic geometry software…

The early eighties saw a period of rapid change in computing and teachers lost control of how they used computers in their classrooms. Software companies produced computer tools that looked so good that teachers forgot about writing their own classroom materials and happily purchased software--that offered much more than teachers needed--from…

Tangrams have sometimes been used as an extension activity intended only to keep faster students busy while others finished essential desk-work. Without adequate introduction, many find that tangrams are just an open-ended form of a jigsaw puzzle. Happily teachers have discovered that games provide an effective introduction to a new topic. In the…

When the author first used "VisiCalc," the author thought it a very useful tool when he had the formulas. But how could he design a spreadsheet if there was no known formula for the quantities he was trying to predict? A few months later, the author relates he learned to use multiple linear regression software and suddenly it all clicked into…

The transfer of data from one part of a computer to another has always been a complex task in which speed is traded against accuracy and the time required for error correction. Much more complex therefore is the transfer of information from one machine to another of a different type. Difficulties arise when machines are updated, when file formats…

Understanding the concept of the sampling distribution of a statistic is essential for the understanding of inferential procedures. Unfortunately, this topic proves to be a stumbling block for students in introductory statistics classes. In efforts to aid students in their understanding of this concept, alternatives to a lecture-based mode of…

This article explores the issues associated with developing ideas of informal inference and introduces the software package, TinkerPlots, as a tool to facilitate this development. The activities suggested in this article are intended for use with middle and secondary students (grades 6 to 10). The data and suggestions presented have arisen mainly…

Recommends an inquiry approach as the most effective use of computers in mathematics. Describes 10 types of computer software and nine applications of computers in mathematics. (YP)

Computers have been in schools and indeed some mathematics classrooms for more than 35 years. Some schools have chosen to centralise their computers in laboratories, while others have a mix of configurations and networks. Whatever the case, how extensive has been the classroom use of computers for teaching and learning in mathematics? What has…

If one rolls a coin across a chessboard and it comes to rest on the board, what is the probability that it covers some corner of one of the grid squares? The online magazine "Plus" (2004) posed this problem for students to solve. It is a useful problem for several reasons: it introduces the idea of probability in a continuous sample space, it has…

The Golden Ratio is sometimes called the "Golden Section" or the "Divine Proportion", in which three points: A, B, and C, divide a line in this proportion if AC/AB = AB/BC. "Donald in Mathmagicland" includes a section about the Golden Ratio and the ratios within a five-pointed star or pentagram. This article presents two computing exercises that…

Identifies some trends in geometry teaching and illustrates them with reference to some of the more common software packages and their application and possible implications for junior high school geometry teaching and learning. (Contains 23 references.) (ASK)

Many students view mathematics as a collection of theorems and facts that were discovered by intelligent mathematicians and all they have left to do is to study them carefully. Some believe it is important to help students change this view (Lavy & Shriki, 2003). One possible way is to enable students to modify the attributes of a given situation,…