Crowthorne Physics Tutors and Crowthorne Physics Tuition

Personal Description:
I have done BSC Honours in Electronic engineering and Masters in Telecom from University of London. I am currently working in Vodafone Uk. I have worked before as a private tutor for SBK college and as a college lecturer.

Teaching Experience:
Visiting Lecturer Kinnaird College.
Visiting Lecturer Punjab College.
Visiting Lecturer UET.
Private Tutor SBK college Essex.

Tutoring Approach:
I prefer to teach in a more friendly atmosphere. Resolve problems of my students on a personal level. Explain theoretical aspects with every day life examples.

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Personal Description:
As a teenager I was lucky enough to receive tuition myself and it made a huge difference, so I really know how much of an advantage it gives.

Tutoring is my full-time job and has been for many years.

I am extremely quick at identifying student problem areas and devising the most efficient solutions, sometimes with budget or time constraints. Where necessary I focus on exam technique as I find many capable and knowledgeable students gain confidence (and marks!) once these skills are taught.

My students like me and can sense that I want the very best outcome for them, and understand they are under pressure to succeed, and my services are frequently recommended to siblings and friends.

Since March 2020 I have tutored online using Skype, Zoom, Bramble and MS Teams.
This way of tutoring is surprisingly effective and time-saving, with results as good as in-person tuition,
something I probably would not have discovered if it were not for lockdown, as before then I always tutored in person.

Teaching Experience:
As well as many years continuous home-tutoring experience, I have taught in both state and private sectors since 1986; examples being Surrey College (Guildford), Horsell High School (Woking) and Farnborough College of Technology, and the prestigious Seaford College in Petworth, W.Sussex. I recently completed two terms at Farnborough College of Technology as a Physics lecturer.

I have a vast library of past examination papers in all my subjects at GCSE and GCE A level for Edexcel, AQA and OCR examining boards.

In addition I have some experience tutoring both common entrance and Baccalaureate Maths, Physics and Chemistry.

Tutoring Approach:
I appreciate that for most students, private tuition represents a workload additional to both schoolwork and homework.

Therefore I aim to make tuition as interesting, interactive and productive as possible- whilst focusing on their objectives- usually a target examination grade. Experience has shown that students can expect learning progress with an experienced tutor such as myself to be without exaggeration, 2-4 times faster than could be made in a typical school classroom, whilst simultaneously gaining a fuller understanding of the topics covered.

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Personal Description:
Thank you very much for looking at my profile. Currently I am working as Head of Physics/ teacher of Science in a School. (Details available on Request.) I Have worked as a teacher of Physics and as a science teacher in various independent and state schools and taught science teacher across all key stages and A level Physics and medical science. I am also working with many Tutoring Agencies.

Teaching Experience:
More than 22 year experience in teaching with Different institution and Schools.

Currently working as a Head of Physics/ teacher of Science and teaching all three Science up to GCSE (across all key stages) Physics and Maths up to A level.

Also working as with many tutoring agency such as Top Tutors,Galaxies Learning and Delta Tutors. More than 22 year experience in group Tution as well as one to one.

Worked In various School.

Tutoring Approach:
I believe dont go for per hour price just look towards quality of education not quantity and result will be in your hand.
My tutoring approach will depend on the students learning ability, I can differentiate the student according to different range of ability and then work according to that.
I believe that tutoring should in most cases supplement the teaching that is received at school. I will focus on any difficulties that the student is facing and also concentrate on answering exam questions - especially answering techniques. If the student requires more extensive teaching of the syllabus then I will happy to go through this in further detail.
I honestly believe that a Teacher hasn't taught until the student has learnt.

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Personal Description:
Teaching has always been a vocation rather than a job as I love to see 'the penny drop'.
I am married with a daughter of 33 and a son of 29. My husband and I garden for the elderly and disabled. I graduated from Exeter University in 1985 with a B.Ed Honours.

Teaching Experience:
In the last 2 Secondary schools I was a Deputy Head of Science and the Professional Tutor for the school.
I have now been a tutor for 18 years and love making each subject accessible to the individual.
I offer day time tutoring as well as evenings.

Tutoring Approach:
My approach is informal. I believe students learn best when they are at ease and not under pressure. If students are distracted in their own home I offer them tuition in mine. Students understanding has risen by 2 to 3 levels, leaving them, their parents and myself very happy.

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Personal Description:
I currently work as a QA Engineering Lead at Globacap. Before this I received a Double First Class in Mathematics.

I am 33, fully CRB checked, and a member of STEMnet (Science Technology Engineering and Mathematics network), as well as being An associate member of the IMA (Institute of Mathematics and its Applications).

Teaching Experience:
I have been tutoring around the West Midlands for over 5 years, Manchester for 2 years, and currently due to COVID, I've been teaching online for another year. All parents / tutees who I have supplied private tutoring to are happy to recommend / provide references should you wish to seek clarification, on the quality of tutoring I am able to provide.

All students I have tutored have seen an increase in grades over the time I have worked with them, with an average improvement of 1 and a half grades!

I am happy to also offer a free first half session in order to gauge a students requirements, as sometimes parents aren't aware of this.

N.E.W Academy - Cover Supervisor and Academic Coach
Years 2009/10 and 2010/11

Self Employed - Private Tutor
2012 till present

Tutoring Approach:
I will provide materials, course guides, and encourage young students to be creative in their methods of tackling problems. I have lots of experience with working with students from the E/U borderline-category all the way up to A/A* candidates.

From the Ages of 14 onwards (Year 9+) I teach all subjects from scratch, with a view to proving why concepts exist and introduce topics from first principles. This I believe will improve retention, help pupils understand concepts better, and also allow them to remember test questions better - It really does work!

Where parents request extra work, I can provide monthly progress sheets, homework tasks, and an extensive list of past papers. Pupils are also encouraged to not just tackle past papers, but to try and understand how papers are conceived, helping them prepare for the unexpected, should it arise in their relevant exams.

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Personal Description:
Hello, I'm Alexander, I'm 23 and I'm from Essex. I'm currently pursuing my PhD in Organic Chemistry at University College London. I graduated from the Univesity of Leicester with a masters degree in Chemistry (With A Year Abroad) in July 2018. I am able to teach chemistry well up to University level, with preference toward A-Level and GCSE standards. I can also assist in the learning of Phyiscs and Maths up to GCSE level.

Teaching Experience:
I have experience tutoring pupils at GCSE and A-Level standard and since becoming a post-graduate student I have undertaken giving first and second year undergraduates tutorials in organic chemistry and working as a demonstrator in laboratory sessions of the same pupils.

Tutoring Approach:
I aim to identify my tutees core weaknesses early on, strengthen these as a priority and build from there with respect to other topics, trying to ensure everything's kept at a level playfield, and so the tutee becomes just as comfortable with what they were struggling with initially, with respect to topics they were confident about. I do this by using a variety of methods including specimen questions and information, using my own resources that I can tailor around a specific tutees needs and asking the tutee to put information they've read or been taught, into their own words so they understand the processes more clearly.

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Personal Description:
I am an enthusiastic and patient tutor who enjoys helping students build confidence and achieve strong academic results in mathematics and physics.

I hold a Master of Physics degree from the University of Oxford and currently work as a finance consultant across New York and London, where I apply advanced mathematical and analytical skills in a professional, real-world environment.

Alongside subject tutoring, I can also offer guidance on Oxford applications, including personal statements and interview preparation, for students considering highly competitive university routes.

I am most available on weeknights and at weekends. Please feel free to get in touch to discuss availability and lesson arrangements.

Teaching Experience:
Private tutoring experience in Maidstone, Kent

Experience supporting students across GCSE and A-Level syllabuses

Tutoring Approach:
I use an example-based, structured approach, focusing on clear explanations and worked problems to reinforce understanding.

My teaching style is calm, patient, and supportive. I take time to get to know each student, identify their strengths and areas for improvement, and adapt lessons to suit their learning style. My aim is not just to improve grades, but to help students develop confidence and independent problem-solving skills.

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Personal Description:
I teach chemistry and physics at a school in Suffolk. .
I am an engaged and understanding teacher. I build strong relationships with the students that I teach and I am excellent at allowing students to believe in their ability. I also possess a positive can-do approach and provide a relaxed atmosphere that allows students to maximise their potential.

Teaching Experience:
I have twenty-eight years teaching experience with a BSC Hons degree in Biological and Medicinal Chemistry and a Master's degree in Education leadership. I have been Head of Science for several years and have a vast amount of experience preparing students for examinations at GCSE and A level. I have taught Chemistry and Biology up to A-Level. I also teach GCSE combined and separate sciences including GCSE Physics. I am based in the Colchester area and willing to travel to students as required. As well as face to face teaching, I also have considerable experience in online teaching, which included teaching 15 students collectively online throughout the lockdown period and through individual online private tuition.

Tutoring Approach:
I take a clear, structured and confidence building approach to tutoring, designed to help learners understand how the concepts in Science and Chemistry work, not just memorise them. My sessions focus on breaking complex concepts into simple, logical steps, using real world examples and explanations so students can understand the overall picture as well as the specific finer details. I specialise in helping students who feel they "missed something" the first time around and allow them to believe in their own ability whether that is at GCSE, A level, or returning to science after a long break.
For adult learners, I offer a supportive and non-judgemental environment that moves at the right pace while still being ambitious for the individual. My goal is always the same: to help students feel capable, prepared, and genuinely confident in their scientific thinking. I want every learner to leave each session with a sense of progress and a clear idea of what to do next.

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Personal Description:
Degree in Physics.
MSc in AI.
I have worked in Digital Media - a cross between IT and Publishing for 20 years so have a lot of Commercial work experience which enbables me to teach from a much broader perspective..
I am also a Classical Singer.

Teaching Experience:
I have been teaching privately for the last four years, mainly Maths GCSE but also A Level and Physics GCSE / A Level, and have helped a number of students obtain the grades they required.
I have experience of teaching OCR, AQA or Edexcel syllabuses.

Tutoring Approach:
I'm exam focussed, as most pupils have been taught the syllabus but need help applying that knowledge to answer exam questions.
I initially work through an Exam paper or two with the student to identify any topics that require more in depth tuition. I will then focus on that topic for a lesson making sure the pupil understands the basics then build their confidence up applying that knowledge to answering questions, easy ones initially then building up to the required grade.

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Personal Description:
Hello! My name is Avishan, I am a data engineer/physics graduate and I am passionate about teaching Mathematics and the Sciences (Biology, Chemistry, Physics). I teach levels KS3/GCSE/iGCSE, am familiar with all major exam boards.

Please don't hesitate to get in touch if you have any questions or if you'd like to book lessons.

Teaching Experience:
Prior to starting my physics degree at university, I worked as a teaching assistant/tutor at a secondary school during my gap year, and continued tutoring during and after university as I genuinely admire teaching maths, amongst other subjects, and I love having the opportunity to show students how exciting learning can really be. During my time teaching at a school, in addition to teaching students on an individual basis, I took on the responsibility of teaching small classes myself, and I was also a mentor to a group of Year 11 pupils, having helped them with GCSE revision every week. I also have SEN teaching experience, having worked with SEN pupils from Years 7 to 11. I have a total of 9 years experience in teaching, both in a school setting and on a private tuition basis.

Tutoring Approach:
I usually tend to approach lessons by going through the background of the topic in focus and a few worked examples before giving students questions to answer themselves and going through worked solutions. Independent practice is a key part of becoming stronger in a subject, and the more a student practices, the better they will get, and this is a truly rewarding feeling. Throughout lessons, I work with a highly friendly, approachable and patient approach to tutoring, as it is vital to ensure that my students feel comfortable to ask questions on whatever topic they may have difficulties with.
Furthermore, I aim to be as concise in my explanations as possible and I like to break down problems into manageable chunks. For example, I encourage students to underline keywords in questions and, particularly in maths and science, to draw diagrams to help them visualise problems. When it comes to exam technique I teach students precisely how to answer certain styles of question to score full marks and show as much working wherever possible. This is not only a very important skill to have to get good grades, but it will help them develop more of an understanding of the problems they are solving.

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Personal Description:
I'm a highly experienced Head of Physics & Science, with over 40 years of dedicated teaching at leading secondary schools. My expertise spans GCSE, IGCSE, A-Level, and IB Physics (SL & HL). I've also contributed to the educational landscape by examining and writing exams for these qualifications and by training other physics teachers globally. This diverse experience allows me to understand the curriculum inside out and provide exceptional support to students.

I've observed a growing trend of students taking Physics without strong mathematical foundations, which can significantly hinder their progress. To address this, I offer specialised 'Maths for Physics' tuition. My experience shows that a solid grasp of the required maths can improve a student's final grade by up to two levels, helping them unlock their full potential in Physics.

Beyond academic achievements, I believe effective teaching nurtures well-rounded individuals. I am deeply passionate about being a positive role model, guiding students to not only excel academically but also to grow into responsible, caring, and confident young people. This holistic approach, built on care and respect, is at the heart of my teaching philosophy and a key reason why I love what I do.

Teaching Experience:
With over 40 years of dedicated teaching experience, I bring a wealth of knowledge and expertise to every tutoring session. My background includes serving as Head of Physics & Science at a large independent school, where I gained invaluable insights into curriculum development and student progression.

Furthermore, I have a global perspective, having worked with teachers and students worldwide as an approved Physics workshop leader, providing online teaching support. This diverse experience ensures I can adapt my methods to suit individual learning styles and needs.

I currently teach or have taught across a wide range of levels:

Physics: Pre-GCSE, GCSE, IGCSE, A-Level, Pre-IBDP, IB-SL, IB-HL

Astronomy: IB-SL

Mathematics: GCSE, A-Level (including dedicated 'Maths for Physics' support)

Tutoring Approach:
In today's educational landscape, personalised tutoring has become essential for many students. Parents often seek additional support when they're concerned about their child's progress, understanding that a strong education is vital for future opportunities.

I consider teaching a profound privilege. Playing a pivotal role in a student's educational journey is incredibly special, and it's a responsibility I take very seriously. My goal is to guide students through the complexities of physics, helping them to not only grasp challenging concepts but also to discover a genuine passion for the subject. There's nothing more rewarding than witnessing that "aha!" moment when a student truly understands, and I strive to help every student reach and exceed their potential.

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Personal Description:
MOST POPULAR science tutor in the South-west, 10 years' experience, neurodivergence/EAL specialist, King's College London Trained bilingual tutor

She/they

I am a patient, empathetic and humorous science tutor with a personal history with autism, being an international student and having English as an additional language. Having taught 1800 hours of biology, chemistry and physics at Key Stage Three, GCSE and A-levels, I can guide you on your journey from your first day of secondary school to your last A-level exam. My colourful diagrams and unique analogies appeal to visual learners and neurodivergent students alike. I am familiar with AQA, CIE, OCR A, Edexcel, WJEC and Eduquas. I am an outstanding graduate from King's College London. My Postgraduate Certificate in Education enables me to help students of all ability levels and learning styles.

Teaching Experience:
1800+ hours (80+ students) of science tutoring experience
Most popular science tutor in Oxfordshire (2024-2025) and South West (2020-2024)
Teacher training graduate from King's College London
Expert subject knowledge across AQA, Edexcel, OCR A, CIE, WJEC and Eduquas

Employed by Winland Academy, Sishu Chinese, Summit International Education and other agencies

Tutoring Approach:
I am distinctive in my usage of simple analogies and colourful diagrams in breaking down complex concepts.
My lessons are tailored to the needs of students with dyslexia, ASD, ADHD and those who speak English as a second language
Experienced in sequencing lessons and assessments for homeschooled students.
English-Mandarin bilingual tutor (提供普通话和英语双语教学服务)

I am also experienced in pastoral care for a range of minority identities. My lessons are safe spaces for any student who identifies as a migrant, a racial minority, someone with a mental health difficulty, LGBT, FLINTA, neurodivergent or homeschooled to discuss any issues they face, academic or otherwise. With a degree in Medical Science at the University of Exeter, I am familiar with the UCAS application process and can offer guidance. If you are a Chinese international student who plans to, or who have migrated to the UK, I can offer additional language support and help with assimilating into the British education system. My holistic, compassionate and inclusive teaching practice has earnt me positive reviews from parents and students alike across all abilities, subjects and backgrounds. Parents be assured, I keep an open communication channel. Contact me today to learn more about what I can do for you.

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Personal Description:
I have a doctorate in Mechanical Engineering (PhD), with years of first hand experience in satisfactorily engaging and supporting students as I attempt to demystify and tear down barriers (or challenges) in different subjects areas. I am passionate and enthusiastic at teaching Mathematics, Physics, Engineering related modules and Computer related modules including programming as I create an empowering environment for students while demonstrating empathy, pastoral care and patience at all times. I have gained an extensive knowledge base to enable me deliver an outstanding knowledge transfer process to stimulate curiosity, interaction and connection with students in their respective subjects of interest. I have successfully tutored students at GCSE , A levels and BEng programs. Again, I have lectured at College and University level on Science and Engineering related subjects while promoting equality, diversity and inclusivity at all times. In addition, I have excellent communication skills and ensure I offer bespoke teaching and learning that is tailored to the student's needs or requirements. Furthermore, I am fascinated at the opportunity to engage in problem solving, critical and analytical thinking. Hence, I am happy at the prospect to coach, mentor and offer pastoral care to others as I help resolve a challenge and put a smile on a face.

Teaching Experience:
I have hand on experience of engaging in pedagogical activities especially in a 1 to 1 session. I have applied active student teaching and learning styles to facilitate learning in different areas and support learners in:
-Mathematics
-Physics
-Applying productivity software including MS office suite including MS Excel for statistical thinking
-Computer modules: coding and programming using MATLAB, Python and Java
-Mechanical Engineering modules: Mechanics, Fluid Dynamics, Thermodynamics, Structural Analysis and Design using different Computer Aided Design software including SolidWorks, Autodesk Inventor, Fusion 360 as well as Ansys
-Report writing (essay, coursework report and dissertation)
Thus, I have supported diverse students in different subject areas to excel in their examinations with outstanding grades. I have lectured at University of Greenwich International College, Northumbria University and Coventry University as well as volunteered with Action Tutoring in supporting disadvantaged children with their learning. My experience enable me manage and meet the expectations of my students as I deliver a robust and standard explanation in different subject areas.

Tutoring Approach:
Typically, I elicit learning from my students by finding areas of the topic they find difficult, lack confidence and find challenging. Then, I facilitate engagement by starting my lesson from there as I clarify concepts, misconceptions or difficulties. I signpost and support the students by exploring and exposing them to the basic fundamentals of the subject. Then build their confidence in tackling related questions. Thus, empowering the students to gain a deeper insight in understanding the easy approach to learning as well as becoming competent, confident and successful in the subject of study.

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Personal Description:
I am a confident, hard working and positive person with a mature attitude.
I am an experienced private tutor. I work with A-level chemistry students who have been excluded for under performance in their schools and get them back to where they achieve an "A" when they take their final exams.
In short, I am good at motivating disaffected children, and raising the self esteem of those whose self esteem has been damaged.

Teaching Experience:
I have taught GCSE Biology, Physics and Chemistry and A-level chemistry for more that 30 years. I have been tutoring for the last 16 years.
I am currently teaching full time at a catholic school and taking some KS3, GCSE and A-level chemistry tuition after school and on Saturdays.

Tutoring Approach:
For GCSE and A-level, I make it a point that students familiarise themselves with the way examiners ask questions and the topic areas frequented by examiners. Through practice, students learn how to respond to exam questions with accuracy and precision. This is done for every topic. In addition, I train my students to be independent learners who can use available resources to help themselves find answers.

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Personal Description:
Hello! I'm Athavan, a passionate and dedicated tutor specialising in Maths and Physics. With a strong academic background, I am committed to helping students achieve their academic goals and build confidence in their abilities.

Background:
I passed my 11+ exams and had the privilege of attending Wilson's Grammar School. This experience instilled in me a love for learning and a strong foundation in Maths and Physics.

Academic Achievements:
In my GCSE exams, I achieved outstanding results, securing a grade 9 in Maths and an A* in Physics. These achievements are a testament to my dedication, hard work, and passion for these subjects.

Master's Degree in Civil Engineering: I hold a Master's degree in Civil Engineering from the University of Southampton. This rigorous program equipped me with advanced mathematical and scientific knowledge, which I apply in my career as a Civil Engineer.

Teaching Experience:
With no formal teaching experience, this is why you should choose me:

Personalised Attention: I offer a fresh perspective and a willingness to tailor my approach to suit the individual needs of each student.

Academic Excellence: My own academic achievements serve as proof of my ability to excel in Maths and Physics. I am committed to helping my students achieve similar success.

Commitment to Growth: I am eager to learn and grow alongside my students. Together, we can navigate the challenges of education and celebrate our achievements along the way.

Tutoring Approach:
Passion for Learning: My passion for Maths and Physics runs deep. I believe that enthusiasm is contagious and that my genuine love for these subjects will inspire and motivate my students.

Empathy and Understanding: Having recently been in the shoes of a student, I understand the challenges and pressures they face. I approach tutoring with empathy, patience, and a willingness to adapt to each student's unique learning style.

I will follow a systematic method of teaching which will include finding out what they are struggling with and helping them through the curriculum alongside what they are learning at school. This will be accompanied by worked examples, practice questions, and past paper questions to help them grow in confidence when it comes to exams and assessments

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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:
As a recently retired Chartered Engineer I'm looking to help students to improve, and gain confidence in, their maths or science skills. This might be helping with subjects that the student finds difficult, catching up with missed work, assisting with coursework, or stretching a budding genius

Teaching Experience:
I have been providing personal tuition to students for about 10 years. I only take on a couple of students at a time so that I can spend enough time with them. Most of my students have come to me through word of mouth.

Tutoring Approach:
Try to understand what the student finds difficult and focus on the big issues.

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Personal Description:
I am a Biomedical Master's student with a First-class BSc. in Biochemistry. I studied Maths (A*), Biology (A*), and Chemistry (A) at A-level. I offer well-rounded Maths and Science tuition geared towards the UK syllabus at competitive rates, and have a passion for life sciences.

Teaching Experience:
I have over 7 years of experience working as a private tutor, and have taught Maths, Biology and Chemistry to students ranging from KS3 to A-level. I also teach Physics to GCSE level. I also have worked as a volunteer mentor in my secondary school, helping children learn how to study and do exam preparation, and have worked as a mentor for Zero Gravity, providing university entrance advice and feedback on personal statements.

Tutoring Approach:
I believe learning works best when it feels more like a conversation, which is why I use the Socratic method. It's centred on asking questions and encouraging curiosity, guiding a student step by step so they discover the ideas, patterns and solutions themselves. My lessons are structured but never rigid. I adapt to each student's needs, set clear goals, and create a supportive space where it's okay to make mistakes and learn from them. The aim isn't just to pass exams, but to build lasting confidence and understanding.

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