Category: Learning Mathematics

Algebra – Why Bother?

Algebra for the many,  not the few

I have taught mathematics to children and adults for over ten years in school, colleges and community centres around Kent.  Yet it has been my recent experience as a full-time tutor that has made clear that a firm understanding of the basic techniques of algebra will enhance a  students’ understanding of KS3 and GCSE mathematics.   The algebraic skills taught at KS3 and GCSE are fundamental to allowing students to progress beyond secondary school mathematics.   It is also one of the topics that many students commonly have problems mastering.

Image of algebraic calculations
Algebra is vital to understanding a wide range of mathematical topics

Algebra is often introduced too early for many students

 Loss of confidence caused by the early ‘failure’ undermines the student’ determination to succeed.  Each subsequent failure undermines the student’s confidence to the point where they see any effort expended to succeed as being ‘pointless’.   It is important to succeed and nothing succeeds like success. 

There is a perception that all algebra is hard

Algebra is not an easy subject, but each new technique is built upon the foundations of earlier ones.    We can all succeed in taking the first step even if we cannot be sure how far we will progress.

There is a perception that algebraic skills will not be used after leaving school

It is unlikely many students will use formal algebra on a daily basis after leaving school.  But many skills developed in learning it can help solve a wide range of problems in real life.  A grasp of the fundamental techniques of algebra will also help a student understand many of the other maths topics,  This is necessary if they are going to achieve level 4+ in foundation GCSE papers and vital if they want to progress far in the higher paper.

Knowledge of algebra enhances understanding and reduces the need for memorisation and rote learning

Many school textbooks prepare students to take their foundation GCSE papers, by teaching a wide selection of formulae and algorithms each relating to a specific instance or phenomena,  the foundation level student is expected to memorise and use.   Being able to use algebraic techniques to manipulate formula is considered a higher level skill. Yet it can be argued that most students who are struggling at GCSE maths find it difficult to memorise formulae.  Time spent learning algebra reduces the need for memory and enhances understanding which is helpful to everyone.

A Short Introduction to Algebra

I believe basic algebraic concepts and techniques should be considered a fundamental part of teaching both KS3 and GCSE mathematics.  It should not be restricted to only those students who are considered as able to succeed at the higher paper.   Algebra holds an important place in my teaching of the GCSE maths curriculum and this is why I am planning to provide short-term tuition aimed at providing students with a strong understanding of basic algebra.  Depending on demand these will be presented either as face to face lessons or online.   If anyone would like to know more about the tuition of algebra or maths in general, please feel free to contact me  using the link below

Contact Phil Wastell Freelance Maths Tutor

About Phil Wastell Freelance Maths Tutor

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