Fivemiletown Maths Tutors and Fivemiletown Maths Tuition

Personal Description:
Hi,
I enjoy teaching and researching. Currently, I am working as a researcher at the university.
My area of expertise includes, Biology, Maths, Chemistry and Pharmacology.
In my quest of higher education currently I am working as a research Scientist in molecular pharmacology, and cell biology. My project is associated with Lister Hospital, Stevenage, UK.

Teaching Experience:
Visiting Lecturer at the university level From last 3 years. Teaching students at the university level theoretically as well as wet lab experiments. I had 6 Nuffield bursary students to teach in the university in last 2 years. All of them are very competent and few of them went to imperial collage, cambridge, oxford and kings for the graduation.

Tutoring Approach:
If a student is not have an interest and intellectual in to the subject, I take it as a challenge. I prefer to correlate the tedious concept of science with the normal day to day life and give a flavor of importance or demand of a particular subject.
Give me an opportunity to introduce myself and I am confident that I will not disappoint you. So far, none of my student left my tuition and stayed with me for longer.

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Personal Description:
I have a maths degree from Bristol University and over ten years experience tutoring. I have had amazing feedback from my pupils in the past, who always say they feel so much more confident now.

Teaching Experience:
I have experience teaching all abilities and ages (and a lot of different personalities!) and a good track record of results.

I find that a better understanding of concepts can make maths education smoother and more enjoyable, so in most cases I make this a priority. If you can teach a pupil to feel excited about maths you hardly have to teach them any more maths, as they will just soak it up by themselves!

Tutoring Approach:
A major advantage of one-to-one tuition is the ability to tailor sessions to a pupils needs, so my teaching methods vary with each pupil. Wherever possible I encourage my pupils to lead the sessions and ask for what they need, so that learning becomes a team effort and a discussion, rather than a one-way information transfer.

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Personal Description:
I am a passionate and dedicated mathematics teacher with over 10 years of teaching and tutoring experience. I currently teach at one of the most successful independent schools in Surrey, where I work with students of varying abilities to help them excel in mathematics and statistics. My goal is to make learning an enjoyable and rewarding experience for every student.

Teaching Experience:
I have extensive experience teaching KS3, KS4, GCSE, IGCSE, and A-level Mathematics and Statistics. Over the past decade, I have provided private tuition to a wide range of students, helping them build confidence and achieve their academic goals. I am well-versed in the new GCSE/IGCSE curriculum and A-level specifications, ensuring that my teaching is always aligned with current educational standards.
Throughout my career, I have worked with students of all ability levels, tailoring my lessons to suit their unique needs and learning styles. My students consistently achieve outstanding results, leaving my sessions with greater knowledge, understanding, and confidence in their mathematical abilities.

I have been judged as an outstanding teacher and have worked with maths consultants to deliver outstanding lessons. You are guaranteed an excellent tuition if you sign up for my private tuition.

Tutoring Approach:
I adopt a mastery-based approach to teaching, aiming to make mathematics less intimidating and more engaging. By relating mathematical concepts to real-life scenarios, I help students see the relevance of what they are learning, making it easier to grasp and retain new knowledge.

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Personal Description:
I'm an easy going, empathetic, supportive and patient tutor who is dedicated to my students. I'm very thorough in my teaching and ensure no stone is left unturned in preparing my students for their maths exams/tests. I enjoy helping my students reach their full potential and achieve their goals. I encourage all my students to take a general interest in Mathematics as it helps them to do well. I do 1 to 1 tuition and also tutor small groups of no more than 4 students. I teach all levels up to and including A-Level and for all exam boards (AQA, EDEXCEL and OCR). I have thus far been very successful as a Maths tutor and hope to continue this trend especially in light of the tremendous performance of my students in the 2024 academic year. Every GCSE (Higher) and A-Level Student I have ever tutored has achieved the grades, Levels 5 to 9/A* to C.

Teaching Experience:
I'm currently working as a professionally qualified Mathematics Teacher at one of Luton's best performing secondary schools. I have been a Maths teacher for 8 years. I have also been a private tutor since 2010, teaching at all levels up to and including A-Level. I teach all abilities and age ranges.

Tutoring Approach:
The aim of my tuition lessons is 2 fold. Firstly, it is to give my students a thorough understanding of the topics they are studying so that they are able to gain an excellent foundation. Secondly, I give my students intensive exam preparation so that they do well in their assessments. This is usually done by by doing many past papers under exam conditions. I also set my students really challenging questions that would normally not appear in their actual tests. The purpose of which is to enable my students to be able to answer ANY questions that may appear in their exams.

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Personal Description:
If you needed a doctor, dentist or lawyer then you would want someone who was fully qualified and very experienced. So don't settle for anything less when you need a tutor. To get the best out of your tutoring, and hence the exam grades you want, make sure that you are getting the following:

1. Someone who will sit beside you and teach you in person. If the covid-19 pandemic has taught us anything then it has taught us that online tutoring can't hold a candle to having a teacher in the same room as you.

2. Insist on someone who is a qualified teacher. Just because someone has passed a few exams themselves doesn't mean that they will be able to teach their subject well. That's precisely why we have teacher training, to help people learn how best to convey that knowledge to others.

3. Insist on someone with plenty of experience. Practice may not make perfect, but it usually does make one a lot better, and this is often the case in teaching.

4. It's very important that a tutor knows their subjects very well and really enjoys them. Without both of these they are never going to be a good teacher.

Let's see how I measure up to these criteria. Well, I only teach in person, and from my home. On several occasions I have been offered online work, but always refused it, as I really do believe that I would be offering students a much inferior service. I have a Joint Honours B.Sc. in chemistry and physics, and for my PGCE my main subject was mathematics, and my secondary subject was physics. So I am well qualified in all the subjects that I offer: maths, further mathematics, chemistry and physics. My PGCE is from the University of Leeds, which has a very good reputation for its teacher training. I also have many years classroom and tutoring experience. As for knowing and enjoying my subjects, those who come to me for tutoring can see my large collection of maths, chemistry and physics books. I have also had a subscription to Scientific American for decades. I read maths and science for fun. Maybe that's why I gave up a very lucrative career as a software engineer to become a teacher. This is also why usually I only offer tutoring at A-level or equivalent, because I particularly enjoy teaching at this level. However, I am currently accepting a limited number of Y11 Higher Level Maths GCSE students.

Students studying maths might also be interested to know that I have written books about the best graphics calculators and also the Classwiz. So it's very likely that I'll be able to show you how to use your calculator much more effectively, which could save you time and mistakes in your exam.

Over the years many students, and their parents, have been very happy with my tutoring. Perhaps you will be too.

Please also note that I ONLY TUTOR FROM MY HOME: no exceptions. Among other reasons, this allows me to teach many more students, some of whom have been known to travel a considerable distance in order to get the right tutor.

Teaching Experience:
Let me be very frank. In the UK teaching in most schools is much less enjoyable than in many other countries. Behaviour, and what the school is prepared to spend on a teacher are often major issues. For students who genuinely want to learn this has serious implications. How qualified and experienced a teacher is may not be be a school's main recruitment criteria. Foremost may be their cost. A well qualified and experienced teacher will cost significantly more than a much younger one, so many older teachers' applications are often passed over. Also much greater weight may be given to classroom "management" skills, rather than the ability to teach ones subject.

Most of my time teaching in the classroom has been spent abroad, with a lot of it in private schools. For these schools neither behaviour nor salary is a major issue, so they recruit and retain teachers based on how well they can teach their subjects. This is the environment in which I have done my many years of classroom teaching. My years in the classroom have been spent in schools where ones teaching ability is paramount.

In regard to tutoring, this has been my main source of income for the past ten years, and most of this time has been spent teaching A-level, or the equivalent. It's probably fair to say that I spend many more hours teaching A-level than most classroom teachers, and as such I know what most students need, and where they are likely to experience difficulties.

Among the schools whose students I have recently tutored are: Ashmole Academy, Dame Alice Owen`s School, Enfield County School, Enfield Grammar School, Highlands School, Hockerill Anglo-European College, Princess Helena College, Southgate School, St. Michael`s Catholic Grammar School, The Latymer School, The Royal Masonic School for Girls, and Woodhouse College.

Tutoring Approach:
I believe that when it comes to teaching I know my subjects very well. So you don't have to tell me in advance what you require help with. If you come to me for tutoring you will be able to ask me, on the fly, about any maths, physics or chemistry that you are having problems with, and I would expect to give you good help immediately.

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Personal Description:
I am a current mathematics teacher with a strong mathematical background (3 A-Levels in Maths, Degree from Cambridge).

I am available in school holidays (only) and am located about 12 mins walk from Farncombe train station. I can also tutor online via 'zoom' where travel is prohibited / unwise (we have been teaching via zoom for the last two months at school).

Teaching Experience:
16 years teaching secondary (GCSE / A-Level / IBDP) mathematics (and further mathematics); Currently teaching at Charterhouse School. 3 years teaching GCSE and A-Level Computer Science.

Tutoring Approach:
Tailored to the needs of the individual in question.

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Personal Description:
I did M.Sc in 1989 from the university of Punjab,Lahore,Pakistan in first class and joined a well reputed English medium school system, Beaconhouse School System, registered with the British Council, Lahore. This school offers O level GCSE from CIE and I taught Maths and Physics to O level classes. I attended different teachers training workshops organised by the British Council. I also completed a one year certificate in professional education (CPEd) offered by St Mary & St John College, University of Plymouth UK in 2009.

Teaching Experience:
I had been teaching Maths, Physics and Statistics grade 8 to graduate level for more than 20 years. Besides my regular school teaching job I used to teach Maths in the evening academies and taught Maths of different age groups from 14 years to 20 years.

Tutoring Approach:
I used to teach a student of grade 8 level in Hartlepool.

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Personal Description:
Hello! I work in Research & Innovation at the University of Surrey where I help academics (Lecturers and PhD students) make a positive difference with their research, such as build start-up businesses. Previously, I was a Research Fellow designing spacecraft structures having finished my PhD Mechanical Engineering. I have written numerous technical papers and presented them at conferences across the world: San Diego (US) x2, Toulouse (France), Kyoto (Japan) and Melbourne (Australia) - I love travelling!

I am 30 years old, originally from Stoke-on-Trent and have been DBS checked (since 12th January 2014) for my previous STEM Ambassador role whilst studying in London.

I am also Managing Director & Co-Founder of an insect-based nutrition startup.

I have a [Merit] MSc Space Science & Engineering, University College London and [1st Class] BSc Astrophysics, Aberystwyth University, Wales.

I love and strongly believe in the STEM subjects because they're interesting, incredibly fulfilling and enable us as individuals to understand and contribute to all parts of society.

I enjoy energetic and competitive sports such as badminton and rock climbing, was Men's 2nd Team Badminton Captain and Vice President, play pool/snooker, read, draw and knit.

Teaching Experience:
I have tutored A-Level and IGCSE Physics, GCSE and KS2-3 Mathematics to students aged 10-17 through UKtutors over the past 8 years across London and Surrey. Most recently, I successfully improved a Physics student's D grade to the targeted B over the course of 3-4 months (1hr/wk)

I have tutored undergraduate Mathematics and Engineering classes in University of Surrey e.g. numerical methods and advanced materials stress analysis

I have coached badminton in University of Surrey's Club and previously to secondary school pupils as part of the 5x60 Dragon Sports Programme in Wales during my undergraduate studies

Tutoring Approach:
Over the first lessons we identify the current situation - what we're happy with, what we're not so happy with - look at the course syllabus, as this varies across regions and examination boards, and we focus on what we can improve to yield the most valuable outcome. Everyone learns differently and I tailor my tutoring accordingly by providing the most enjoyable and effective experience possible. I enjoy and prefer tutoring informally and am always open and happy for feedback and suggestions

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Personal Description:
I am a Masters degree graduate with 5 years tutoring experience working with children and adults.

Often times I teach one to one or maximum 5 people at a go especially in the library and community centre.

Teaching Experience:
5 years experience and still counting

Tutoring Approach:
Face to face,one to one and small groups

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Personal Description:
A very warm hello!

I am experienced and reliable, knowledgeable and empathetic, organised and conscientious, creative and passionate, and, patient and down-to-earth. I have over 10 years of classroom teaching experience as a fully qualified teacher and over 8 years of extensive tutoring experience.

Teaching Experience:
I have taught both KS1 and KS2 in a variety of locations around the UK (Durham, Essex, Norwich, Bradford and Halifax) and have taught all National Curriculum subjects. I completed an undergraduate degree at the University of East Anglia, a Primary PGCE at Durham University followed by a Masters of Education at Durham University too.

I offer private tuition all over Calderdale at a location of your choice (including from my house in Ripponden) at a time of your convenience. Please note, I do not charge an initial joining fee.

Tutoring Approach:
Every pupil is an individual and every pupil develops their knowledge and learning differently. I begin by building a rapport with each pupil, getting to know how they learn best. I start with the knowledge they already possess and build upon these. I try to make my teaching varied and fun and ensure that pupils experience success quickly, no matter how small the steps are. I believe that private tuition is the first step in facilitating future success in life. I work efficiently and professionally to ensure your investment in private tuition meets and exceeds your expectations.

I am passionate about teaching and love to see pupils do well and achieve their potential. My teaching style centres around personalised learning: tailoring my lessons to the individual learning styles of my pupils. I have the ability and patience to work well with a range of pupils and have had a lot of success motivating those who struggle. I get an invaluable sense of satisfaction from seeing pupils experience 'light bulb' moments.

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Personal Description:
I hold a master's degree in Cyber Security and an honours degree in Mathematics with Statistics from Royal Holloway University of London. My hobbies include football, travelling abroad and strength training.

Teaching Experience:
During my studies, I had worked as a teaching assistant starting at 16 years old and for nearly 5 years aiding students in their mathematical studies. Under my guidance as a teaching assistant I have seen students excel their end of module tests in order to progress to the next level of their mathematical learning.
From 2020 I began tutoring independently following the closure of the study center. I had provided hourly sessions for tutees both face-to-face and online, to help improve the knowledge of students and prepare for upcoming exams.
Through various online platforms I have delivered lessons online toa accommodates the students.

Tutoring Approach:
Teaching students of all ages and mathematical abilities. The lessons will be tailored to the students' needs and simplify the problem to their understanding. This can be delivered by going through past papers; working on mathematical examples or approaching problems they have experienced in their studies.
Lessons will be conducted either at the student's home or an online platform that suits the student.

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Personal Description:
I am currently on a gap year where I would be at University if not for covid. I have passions for music, martial arts and maths (so long as it starts with an M, it's probably good). I think that this year has been a nightmare for students and teachers alike and I would love to lend my experience to help out with any students struggling, so I have decided to take on online tutoring work during this year.

Teaching Experience:
I have not done paid tutoring work before (though the offer has arisen). Mostly I have taught friends and locals or explained what I'm studying to unwitting bystanders at church or school.

Tutoring Approach:
I think it's most important that the student understands the essence of the subject and can think critically about it, and I like to discuss this with students until we can apply this understanding to the syllabus and the exam to come such that anything they've learned before or will learn on that topic will make sense. If the content is difficult for the student I can explain from a number of angles, including visual methods such as the Desmos graphing calculator.

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Personal Description:
Hi! I'm Rayyan- a second year architecture student at Cardiff University. As I did my A Levels and GCSEs in different schools, I am familiar with AQA and Edexcel exam boards. I am passionate when it comes to teaching as it is something I believe is rewarding to both the student and the tutor. It has instilled patience and communication within me among other qualities necessary for the role and I am looking forward to passing knowledge onwards!

Teaching Experience:
I used to tutor GCSE and A Level students at my college to prepare them for their maths assessments from which they benefitted a lot in the lead-up to their examinations.

I also used to be a liaison for 2 years working with year 8-9 kids in a classroom environment. My job was to guide and teach them, on a collective and individual scale, revision techniques, exam preparation and carry out weekly activities with the class in order to provoke thoughts for their futures and improve their teamwork, communication and academic skills.

Tutoring Approach:
Teaching method (open to be altered according to the student, however my default teaching method is as follows):
- Short walkthrough of the module topic with QnA throughout to ensure the topic is understood
- Exploring and answering example questions together
- Exam questions for the student to attempt and walk through the answer together (we go through questions until the student is comfortable with the topic and is able to move on)

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Personal Description:
I am a graduate in Physics from University College London (UCL) and am currently pursuing a Master's degree in Clinical Science (Medical Physics) at King's College London (KCL) as part of the Scientist Training Programme. With a deep passion for mathematics, I am eager to share my enthusiasm for the subject through tutoring, helping students appreciate its beauty and complexity.

As an approachable, engaging, and supportive tutor, I have consistently achieved A grades in both my GCSEs and A-Levels, and I am committed to helping my students reach the same level of excellence. I specialise in tutoring Mathematics and Physics, both of which are second nature to me, and I am confident in my ability to teach these subjects to a high standard.

Maths is often a challenging subject for many, and I can relate to those struggles. Initially, I found myself more drawn to literature and the humanities, but with the support of exceptional tutors and teachers, I uncovered a genuine passion for mathematics. It is this transformative experience that I hope to replicate for my students, guiding them to find their own connection with the subject.

I believe in a personalised, one-on-one approach to tutoring, recognizing that each student is unique. I strive to tailor my teaching methods to meet individual needs, ensuring that every student receives the support required to succeed.

Teaching Experience:
5 years experience
Tutored online for 4 years and tutored with Explore Learning for 1 year in person and online both. I tutored GCSE to a level maths and Physics.

Tutoring Approach:
Initial lesson for mathematics involves an assessment - this can be through a past exam paper. This allows me to determine what level the student is working at currently and also what topics need to be focused on more than others. From this I pick a topic to base the next lesson on. The lesson compromises of exam questions and taught material.

For physics I ask the student which exam board they are studying and which topic to focus on for the first session. I then plan a lesson on the topic by doing a question-answer session (It will be like recapping then topic with the student through questions used to prompt their memory). Normally questions are in flash card form. Then for the second half of the session I do exam questions from the exam board the student told me. These are topic based so each lesson will have questions focused on what was covered on the day. I send the notes from the lessons to the student as pdf files too. I write reports after I complete a lesson so parents know what the lesson covered and what to expect for upcoming sessions too. The more fluent a student becomes in answering questions- that shows progress is being made.

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Personal Description:
⚡ Cambridge University ⚡

📚 Over 15,000 hours of one-to-one experience 📚

✨ Full-time professional tutor ✨

💡 A-Level Maths & Further Maths Specialist 💡

🔑 UCAS, Oxbridge and University Application Expert 🔑

✔️ Maths ✔️ Physics ✔️ University Entrance ✔️ TMUA✔️ STEP ✔️

Since graduating from King's College, Cambridge in 2013, I have been a dedicated full-time professional maths tutor.

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I offer a **free 30-minute** introductory class to all new students so we can get to know each other and the technology we'll be using before committing to anything! I have over 7,000 hours of online tutoring experience, so I am well placed to work either online, or in person at my office space in Hoxton where I also run classes and mock exams.

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I love to turn good students into the best, always pushing and stretching my pupils to get the most out of them. For those looking to achieve the top grades, I can offer my experience in fine-tuning exam technique, as well as giving insight and tutoring in more advanced papers (TMUA, ESAT, STEP). I also offer personal and informative preparatory advice for those students applying to Oxbridge.

On the flip side I have seen that the teaching of maths and science in the classroom can sometimes leave students feeling dejected, uninterested, and even unable, often sapping their confidence. Through my tutoring I aim to rebuild this confidence and unlock each student's true potential. Together we can fill gaps in understanding, consolidate material, get ahead of the syllabus and ultimately strive towards better grades.

In any case, every lesson will be tailored to each student's individual needs.

Teaching Experience:
Over 15,000 hours of one on one tutoring experience.

Experienced with Edexcel, OCR, AQA and OCR MEI for Maths and Further Maths A Level.

Being lucky enough to go to Cambridge, I was blown away by the power of small group teaching, having been used to large classes my whole life. I could not believe the amount it was possible to progress in each guided supervision. It's a privilege to be able to provide such a service myself, for my students.

Tutoring Approach:
Learning happens best one on one. I take a very informal, interactive, animated and personable approach to teaching. This is not school, we don't have rules. This is a place to learn and excel. It's all the good bits of the Cambridge supervision system without any of the formality or anxiety.

My lessons are either online or in person at my office space at Hoxton. In some circumstances I can travel but this will incur an additional fee.

I also run a number of classes - please get in touch for additional information.

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Personal Description:
Hello! I'm a primary school teacher with four years of classroom experience at an Ofsted-rated 'Outstanding' school. Before qualifying as a teacher, I worked as a Teaching Assistant supporting children with a range of special educational needs, which gave me valuable experience in adapting learning to meet individual needs.

The most rewarding part of teaching is seeing children grow in confidence and achieve things they once thought were beyond them. I enjoy getting to know each pupil as an individual, understanding what motivates them, and helping them develop the skills and confidence to reach their full potential.

I decided to offer tutoring because I want to provide personalised, one-to-one support that allows children to thrive. Every child learns differently, and I believe that with the right guidance, encouragement and challenge, every pupil can make meaningful progress.

As a tutor, I am calm, patient and approachable while maintaining high expectations. My aim is not only to help children achieve their academic goals, but also to foster confidence, resilience and a genuine enjoyment of learning that stays with them beyond our lessons.

Teaching Experience:
Throughout my teaching career, I have taught across all year groups in Key Stage 2, giving me a strong understanding of the curriculum and how children's knowledge and skills develop over time. As a class teacher, I have taught the full primary curriculum, with particular strengths in reading, writing and mathematics.

I have consistently supported pupils in making excellent academic progress, with many achieving Greater Depth in reading, writing and mathematics. While I take pride in these outcomes, I am equally passionate about helping every child make progress from their own starting point, whether they need additional support or greater challenge.

My previous experience as a Teaching Assistant, alongside my classroom teaching, has enabled me to work effectively with pupils who have a wide range of learning needs, including those with complex special educational needs. I am confident in adapting my teaching, resources and pace to ensure every child can access learning, experience success and continue to develop with confidence.

Tutoring Approach:
I believe that effective tutoring is built on high-quality teaching, strong relationships and a thorough understanding of each child's individual needs. I take the time to get to know every pupil so I can identify their strengths, address gaps in their understanding and tailor lessons to help them achieve their goals.

My lessons are carefully structured to help children retain knowledge and build confidence. I begin by revisiting previously taught content to strengthen long-term memory before introducing new learning through clear, explicit instruction. Throughout the lesson, I regularly check pupils' understanding, adapting my teaching and providing additional guidance whenever needed. Once a pupil has demonstrated a secure understanding, they are given opportunities to practise independently while receiving constructive feedback to consolidate their learning.

Building confidence is central to my approach. I believe children make the greatest progress when they experience success and recognise that it comes through effort, perseverance and positive learning behaviours. I use encouragement and meaningful praise to help pupils develop resilience and become increasingly independent learners.

I also value open and honest communication with parents. I believe tutoring works best when parents feel informed and involved, so I aim to build positive relationships based on trust, providing regular updates on progress and ensuring we work together to support each child's learning journey.

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Personal Description:
I am a tutor specialising in SQL Server, Databases, Computer Science, Mathematics and English, with experience teaching teenagers, college students and university learners in the UK and India. I hold a Master's in Management Information Systems (Merit) from Coventry University and a Bachelor of Engineering in IT, supported by 15+ years of professional IT experience working with SQL Server, databases and technical problem‑solving. I focus on clear, structured teaching that helps students genuinely understand concepts

Teaching Experience:
I have taught SQL Server and database concepts to 10-15 postgraduate students at Coventry University, covering SQL queries, joins, grouping, database design, normalisation, stored procedures, views and indexes.
I have also provided one‑to‑one Maths and English tutoring to UK teenagers aged 14-16, and taught Mathematics, English and Computer Science to ICSE and college students in India. My experience spans structured lessons, practical exercises and adapting explanations to different ability levels

Tutoring Approach:
My approach is centred on concept understanding rather than memorisation. I break topics into simple steps, use practical real‑world examples and tailor explanations to each student's level. For technical subjects like SQL Server and Databases, I combine academic knowledge with 15+ years of industry experience to make learning clear, practical and confidence‑building

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Personal Description:
I have over 20 years of tutoring experience and specialise in AQA/ OCR A Level Physics and Edexcel Maths. I also teach both subjects for GCSE. I have a First Class Honours degree in Electrical Engineering and a BA in Maths. I am a MIEE and a CEng.

Teaching Experience:
I have been tutoring maths and physics for over 20 years, full time for the past 10 years. I teach AQA, Edexcel, OCR(A) and WJEC. I teach both UK and international students and my focus is sound principles and building student motivation to achieve excellent examination results.

Tutoring Approach:
My approach is to build lessons around the very latest past paper questions pertinent to the requirements of each student. I focus on exam technique, strategy and question trends for each board.

I offer unlimited free support outside tutoring sessions by answering any questions via WhatsApp and help in using AI and other tools in the most advantageous ways.

I am a retired research engineer with degrees in engineering and maths. I am a Chartered Engineer, MIEE and also a member of Mensa.

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