Maths Reduced: Introduction to Algebra

App1; Introduction to Algebra

Background: The MathsReduced series of 21 Apps has been developed around a philosophy

of learning based on beliefs such as:

1. The mathematics that exists today has frequently developed as a result

of mankind needing to have reliable methods for solving practical

everyday numeric problems.

2. Over the centuries, the teaching of mathematics has sometimes seemed

to have moved significantly away from its practical, and often

relatively simple origins. We in MathsReduced believe that the present

learning and teaching of mathematics, and especially algebra, has

sometimes lost sight of the critical question Why Mathematics?

3. Consequently, the MathsReduced series of Apps on Introductory

Algebra, has the following main aims:

- To remove what is sometimes seen as a sense of strangeness or

- To clearly convey the importance of solving practical everyday

- To stress the importance of a consistent approach to the

- To use the various characteristics of a computer-based device to the

- In other words to bring the subject of Algebra to life

mystery from Algebra

problems in the world of Algebra

understanding of algebraic problems, their description, and

ultimately their solution

maximum degree when solving algebraic problems

App1: An overview

App1 in the MathsReduced series begins by tracing the origins of Algebra about 4,000 years

ago. Some of the main aspects of the subject are then introduced. Particular attention is given

to certain relevant rules, and everyday uses. The earliest historical uses of Algebra are noted,

and the importance of solving sharing problems is highlighted.