Casio FX-991

This is the calculator I recommend, click above to buy. This is allowed in all GCSE/A-level exams and has many more functions. (~£15)



Casio FX-20

If you want a calculator that does everything, I recommend this!

Click above to buy.




GCSE Higher

This book for iPhone/iPad or Kindle will help you understand the lessons you take.

Click above to buy.




This guide contains everything you need for Foundation level GCSE maths.


Click above to buy.



Your tutor

My passion is tutoring maths in an interesting and exciting way. Phone or use the form!




Maths Tuition - From GCSE to A-Level and beyond

ABOVE: I was extremely gratified and pleased to receive this message after the GCSE results of 2016. 



About Me

A private tutor for 16 years, I am a professional. Tutoring is my passion and I don't just do it as an extra. I'm fully aware of the issues that students have when they come to me and I am able to identify problems very quickly and know how to remedy them. This has led me to help students regain their confidence, achieve higher grades than expected, identify strong mathematicians that school have missed due to their one-size-fits-all structure, and allow students to reclaim their self-respect.

Although I charge more than the 'average' - this is why. Normally, private tutors teach the same way that the school does. But since the school method has not worked for you or your child, more of the same won't work! That's why I tutor in a completely different way.

Having taught hundreds of students in 16 years, I have a lot of experience with students who have lost their confidence, don't understand what their teacher is saying anymore, or can tackle questions in class, but not in the exam, or just feel lost. Although these are often the most common reasons my services are required, I am also able to help advanced students and push them further by testing their understanding or showing them new ways to look at ideas. I take a patient and more advanced approach for all, which has led to a 95% success rate amongst my students and 100% in 2013 in particular.


Apart from this, I have developed my own method for doing maths far more easily which is far superior to school's outdated and boring offerings. Every concept that is learnt at school is taught by me in an easier way, which leads to interesting lessons and ideas that put it into context. Everything is explained WHY it is, rather than being told 'it just is' at school. The video shows one of these many improvements. One of my students demonstrates how to multiply numbers extremely easily. This new method has been published by the UK's largest publisher and is also in Kindle edition form on Amazon. I get messages from people all over the world who tell me their method has 'finally' helped them, as they've struggled for years until they read my book. I have also created an online video channel for students to be able to revise a method as many times as they like!

Tutoring maths is my passion as well as my profession and it still gives me a buzz when a penny drops for a student. One of the joys of my method is that not only do you become brilliant at maths, no matter where you start from, you begin doing things that are far beyond the abilities expected, and you lose any feeling of shame and reclaim your self-respect. Parents recommend me often and I can provide over thirty separate glowing references.

As a mathematician, I am also able to detect and realise latent mathematical ability in students, as well as push those who have already been identified as being gifted and talented.

Apart from lessons on a weekly basis, I offer a 3 day intensive GCSE course and a 5 day intensive A-level course. These have worked extremely well and every student I have taught this way has got the grade required.

I offer a free 20 minute sample lesson. We can meet and I can give you an idea of how I teach and whether you feel your son or daughter (or yourself!) will progress.

However, it's difficult to tell just from this blurb what I'm like. The best thing to do is for us to contact each other. Once we have a discussion about your requirements, I feel sure you'll be willing to give me a try!

Please use the contact form or phone and I will be in touch as soon as possible.


Junior Certificate Maths - 1994

A* at GCSE Maths - 2009

A at A-Level Maths - 2010

BSc Pure Science (University of St Andrews) - 2002

120 credits of B Eng (Hons.) Mechanical Engineering - 2011

Introduction to Engineering Mathematics (edx MOOC/University of Texas at Arlington) - 2016

Intro to Steel (edx MOOC) - 2016

Basic Spanish for English Speakers (Universitat Politecnica de Valencia) - 2016

Level 3 Award in Teaching and Education - 2016

A-Level Physics - 1997

IGCSE French - 2013

IGCSE Spanish - 2013

IGCSE Italian - 2014

GCSE Polish - 2014

A-level French - 1997

French for Scientists (University module) - 2002

Grade 5 Music Theory (Merit - ABRSM) - 2014

Currently studying:
B Eng (Hons.) Engineering at the Open University (complete 2020)

NVQ in Aeronautical Engineering (2016 - 2018)

Intro to Differential Equations - MIT/edX (2017)

Russian, Polish & French Languages and working towards Proficiency Exams (2017)

Tutoring Experience: 

15 years as a private tutor of all ages from 10 upwards and 2 years in secondary schools in Lincolnshire. I've tutored in Lincoln since 2005, with some work in London, online (I currently have a student in Australia!) and secondary schools in Lincoln and Cumbria. I have also published many books on my method to positive reviews.
Some of the 100s of students I have taught include: the daughter of 'Doctor Who', Peter Capaldi; the son of the Vice-President of Syria; and the son of Tony Cunningham, ex-Man City, Newcastle and Lincoln footballer.
I have also taught people how to tutor, one of whom went on to tutor Oliver Stokes, of Benidorm fame, on set.

Tutoring Approach: 

My approach is to first identify any issues the student has via an assessment. From this I can develop a strategy for the student to understand maths more easily, with which they can take on board to increase in confidence, knowledge and ability. The student will begin to find maths much more easy than they had previously thought. The normal pattern is that the student has failed by using school techniques, so repeating more of the same won't work! My methods are logical, easy and intuitive.


Recommended Books and Courses

First Choice

If you're studying engineering, this is a great starting point. Lucidly explained and with questions to think through as you go, I've found no better book at this level.




Once you've moved on from the previous book, this one takes you further into mathematics to give you a good all-round understanding of what can be achieved in engineering maths.



Très facile!

After years of lessons at school, it was only this course that helped me understand French to become a confident and surprisingly fluent speaker.



Learn Easily!

Polish is one of the hardest languages I've ever learnt. This course gives you a fantastic start and you'll be wowing native speakers in no time. 



New Book

This is an update of my method since it was written in 2014. Contains new concepts designed for later work. For a sneak peak, click to buy!



A Presentation On A Fast Way to Solve a Quadratic - In Your Head!
For your interest: a 5-minute presentation I wrote on how to solve a quadratic in your head. Best viewed on PowerPoint.
Paul Carson.pptx
Microsoft Power Point presentation [919.5 KB]

Courses Available

One of my inspirations - Dr Richard Feynman
  • 1 to 1 tuition on a weekly basis
  • Intensive 3-day or 4-day courses
  • Online tuition via Skype and Scribblar Whiteboard

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