Burford Maths Tutors and Burford Maths Tuition

Personal Description:
I am a secondary maths teacher and tutor students privately in my spare time.

Teaching Experience:
I am a qualified secondary maths teacher and have 10 years of one to one tutoring experience at all levels.

Tutoring Approach:
Everyone learns at different speeds and in different ways and it is very important to tailor tutoring to match each student's individual requirements.

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Personal Description:
I am a professional geography researcher specialised in regional geography and urban sciences. I have gained my knowledge and expertise from universities across Europe (Pécs, Wolverhampton, Maribor, Zagreb, and Ljubljana). I am currently a PhD Aspirant at the University of Pécs, Hungary.

I have been mainly researching in the field 'geography of energy', but my interests link my specification to other scientific disciplines such as sustainability, environmental sciences, and landscape geography, and I am able to perform and combine various geographical fields.

During my years as a PhD Student, I was given the chance to gain experience as a lecturer; teaching subjects which included: renewable energy resources and world regional geography. In 2015, I officially became a teacher after successfully completing my PGCE at the Birmingham City University in England.

As a teacher I have also gained experience in a prison setting teaching mathematics to a wide age range and ability of students and different learning levels, whilst I have been able to use the knowledge that I obtained from the course in practice.

Besides having published a number of articles and books, I am the founder and series editor of Frugeo's journal called Geographical Locality Studies.

I am a registered member of the Hungarian Geographical Society (MFT), and the Association of Teachers and Lecturers (ATL).

Teaching Experience:
Being a 'good' teacher is a subjective opinion that I cannot state about myself. I am experienced in a wide-range of teaching environments from primary/secondary school-aged pupils to adult/prison learning and higher education.

People who have observed me teaching in the past have had positive criticism of my work and mentioned how efficient and encouraging my lessons and teaching methods are. In my opinion, to be a good teacher it is essential to be flexible with the environment you work in and have to have comprehensive knowledge both in outdoors and in classroom settings. You have to experience and observe the outside world for you to engage and maintain properly an enthusiastic class when teaching geography.

The qualifications and the reputation I have obtained in Geography are the results of an enthusiasm I have had since my childhood for this subject area and it is still part of my daily life that comes to life through my own business and its journal.

Geography is not only my profession, but is also my hobby that is present in my life with all of its aspects, whether it be examining a piece of rock or talking about coffee beans, I can discuss both in an academic sense as well as out of personal interest. The diverse use of language therefore is important when encouraging others on geography and the key is to find a common interest between subject and receiver for them to understand and to be inspired by what they are learning. For example, when teaching in the prison, Mathematics combined with Geography suddenly becomes more interesting and therefore engaging.

Tutoring Approach:
For a researcher with a deep understanding about the Earth's mechanisms, Geography will always reserve a high number of mysteries. Research is the foundation for everything that is taught and this will always be exciting for me to do. But the implementation of this new knowledge may be challenging, that is why you have to keep thinking of new teaching methods to improve the quality of the subject that you are teaching. For this reason, it is essential to assist the younger generation for them to become capable to deal with geography related topics and issues.

As originally a researcher with a non-British educational background and with a very colourful and diverse interest in Earth Sciences, I am able to shake things up. My aim is to develop people's knowledge, foster their understandings on geography and help them achieve the required goals set by the school/exam board which I hope will motivate them into using geographical knowledge in their daily lives.

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Personal Description:
My name is Jaynish and I am a working professional in Banking industry. Currently working in Banking industry as a Manager. I have completed my Bachelors and Masters in India and MBA in UK. I am specializes in mathematics, science,biology and a native learner of Hindi and Gujarati. I started my teaching activity back home with nearby children to my house,try to help them to solve their problems with Maths,Science and Biology and since then have loved every minute teaching someone.

Teaching Experience:
2 years teaching experience to the neighborhood students in India. No formal qualification in teaching or experience other than teaching neighborhood students, however, I can offer a wealth of Maths knowledge gained and implemented during my educational and workplace career.

Tutoring Approach:
Practical and activities based teaching with feedback. I access the needs of the tutee and plan my lessons accordingly.

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Personal Description:
I am an experienced teacher of Photography and Urdu language. I can help you, as I have helped all of my previous and current students, to learn more effectively and score higher on your exams.

Teaching Experience:
Experience: I have been a -qualified teacher for more than a decade and I have a background in interdisciplinary teaching and education and I have focused on developing strategies to help students achieve far higher than they have been predicted or than they expected in their evaluations and exams. I can also give online sessions . thanks

Tutoring Approach:
I offer a 1.5 hour introductory photography lesson to individual adult learners at the special rate for students.
This may be enough to help you get to grips with your camera and/or establish whether the teaching methods and aims fit. Normal session is 2 hours minimum.




I also like to teach photography in a creative way, allowing the pupil to develop their own style through a process of fieldwork, set projects and the study of other artists and photographers. They will start to see the world in a different way. It is a great confidence builder as well as a skills provider.

I am also able to teach groups at special rates and team-building days with corporates and organisations. Mentoring of individuals in the process of career change and personal development. Please enquire about any of the above.

Whether you are an absolute beginner or a serious Photographer who wants to expand on their techniques in Photography for professional use or a casual amateur who wants to become competent at handling a compact camera to create compelling lasting photographic memories, whatever your requirements I can deliver the learning that will enable you to achieve.

Photography skills covered, for Beginners / Intermediate / Advanced learners:
- Camera craft (Digital or Film)
- Understanding exposure
- The appropriate use of depth-of-field
- The art of composition
- Editing and managing your digital photographs with your computer
- Colour balancing
- Photo-retouching with Photoshop (or another photo enhancement software on demand)
- Photo-manipulation

I work at my students pace. Learning-to-Task approach (The lessons are tailored to what you want to achieve, with the most effective route delivered to your learning styles). From the ground up, you/the student will understand all the principles and application of the skills you want to gain.

I use re-enforced learning methods so you are left confident that you can achieve the desired results on your own.
I follow these lessons with the option of remote telephone/Skype support, if ever you get stuck.
N.B. Lessons can be taken within one year of purchase. Additional rates quoted for travel beyond central London.

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Personal Description:
Hello
I'm moving to North Somercotes, Lincolnshire late August and will be taking on new students to start ready for the academic year in September.

As an experienced tutor, specialising in Primary Education and Secondary Education. I have experience in teaching Maths and English for all abilities including S.E.N.. My experience also includes 11 plus, both CEM and GL. Which would be particularly relevant for those students sitting the 11 plus in Buckinghamshire and entrance exams for the Bedford Schools.

I work with students providing a supportive environment where areas of possible weakness are identified and strategies developed ensuring the students self esteem, confidence and love of learning are enhanced.

Teaching Experience:
5 years experience within the education system at secondary schools, working as past of the senior leadership team. Have tutored adults and children, to improve confidence and self esteem, reinforce knowledge, to meet national curriculum expectations, successful completion of the 11 plus and entrance exams, S.E.N. and English as a foreign language.

Tutoring Approach:
Hello

As an experienced tutor, specialising in Primary Education I have experience i teaching Maths and English for all abilities including S.E.N.. My experience also includes 11 plus, both CEM and GL. Which would be particularly relevant for those students sitting the 11 plus in Buckinghamshire.

I work with students providing a supportive environment where areas of possible weakness are identified and strategies developed ensuring the students self esteem, confidence and love of learning are enhanced.

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Personal Description:
I Have worked in education for 30 years. I have been involved in Support for Learning for most of this time. I have supported many students in schools at at home and have proven experience in raising attainment.

Teaching Experience:
25 years Teaching Experience in Support for Learning in both Primary and Secondary Schools. I Have specialised in working with small groups and individual students. I have expertise in Dyslexia and devising ways in which learners can overcome barriers to learning.

Tutoring Approach:
Understand importance of building up a good working relationship. Identify learners needs and style and match teaching to their requirements. Break learning down to achievable goals and talk through targets.

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Personal Description:
I love Maths. I am having studied Mathematics and Mechanics. I have built up an understanding of what it takes to succeed in a challenging area. I much enjoy being able to build people`s confidence in these areas and the opportunity to share my enjoyment. I am a PhD Student in Mathematics and have an MSc in Mathematical Modelling and Scientific Simulation, MSc in Applied Mathematics.
I provide tuition in Maths and Mechanics, with a professional and very friendly manner aimed at making the student thoroughly at ease and confident with the work in hand. I also integrate practice with teaching and give practical examples to understand the theory better.

Teaching Experience:
I am experienced in tutoring Maths, and Mechanics to GCSEs and A level undergraduate, postgraduate students.
I have international experience in a different country and therefore, can easily relate to people of different culture and race.
I can work as a problem solver, helping students build an understanding of areas they are currently studying and guide them through challenging aspects. This is particularly useful in Maths and mechanics as a large part of studying these subjects is done by solving problems.

Tutoring Approach:
I provide tuition in Maths and Mechanics, with a professional and very friendly manner aimed at making the student thoroughly at ease and confident with the work in hand. I also integrate practice with teaching and give practical examples to understand the theory better.

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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:
** Available after 5pm on weekdays**
I`ve completed a PhD in Mathematics at the University of York, UK, and I'm a native Italian speaker with a strong passion for teaching.
I have 15 years of experience with one-to-one Maths tutoring to students from any level of education, and I worked for 4 years as a seminar leader in modules taught in my university department.

Teaching Experience:
I specialise in Mathematics, and I teach GCSE, A-levels, IB, and university students; I have experience with Edexcel and AQA exam boards.
As to university teaching, I specialise in probability, calculus, and mathematical analysis.
I also have experience with teaching Physics to GCSE and A-level students and Italian to adult learners.

I started teaching in 2009 as a Maths a Physics tutor for secondary school students in Italy. I started tutoring in the UK in 2017, both online and in-person, and in 2018 and 2019, I also volunteered at the City of York council as a maths teaching assistant. I've been teaching secondary school and university students for 15 years now.
Between 2017 and 2021, I worked as a seminar leader in the Maths department of the University of York for probability, calculus, and mathematical analysis modules.
In 2019, I started teaching Italian to adult learners who need support with conversation skills and grammar.

Tutoring Approach:
My aim is to make my students confident and independent in their studies.

During the introduction, I meet the student and their guardian so that we can get to know each other. I learn about their needs and aims, and we start planning the lessons.

The plan typically consists of weekly or fortnightly lessons depending on the content the student needs to cover; some students need to focus only on specific topics, while others need support throughout the year.

During the lessons, I focus both on supporting the students with the new material they have to learn and on filling the gaps they might have in order to build a solid foundation. To do that, I use worksheets that are focused on a specific topic and past exam papers that can help students prepare for tests and exams.

I organise my lessons so that the students can think of how to solve exercises while I guide them to the solution, rather than tell them what to do step by step. That way, they develop their own method to understand and study Maths and boost their confidence.

As to my Italian lessons, I base them on practice so that the students can gain more confidence, especially with listening and speaking, while strengthening their basic grammar knowledge. During the lesson, I like to create conversations aimed at practising oral comprehension and production.

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Personal Description:
I am an engineer from a top engineering college and worked at several leading organisations thereafter. My love for quantitative and analytical subjects brought me to London School of Economics (LSE) where I am pursuing a specialisation in Applied Development Economics.

Teaching Experience:
I have taught mathematics and economics to school students since past 3 years. I have also taught undergrad students during my engineering education.

Tutoring Approach:
I love mathematics. I can make someone understand the problem in simple and fun way by giving practical examples. I believe in building on basic skill set repeatedly to master the advance concepts. More you play with maths more you start learning it. My approach is to first build student's confidence in mathematics by inculcating a love for the subject. I am a strong believer in learning by doing.

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Personal Description:
I am passionate about my subject of science, and would be delighted to pass this passion on to you.

Teaching Experience:
I have three years' experience conducting tutorials in Materials Science at Cambridge University, having myself studied Natural Sciences there, including Physics and Chemistry.

In 2018, I taught the Maths and Physics component of the NCC International Foundation Programme for Engineers (of around GCSE/A-level level) at the Star Exeter language school.

Since then I have tutored Physics, Chemistry and Maths from KS3 up to A-level, and Biology to GCSE.

Tutoring Approach:
I enjoy showing you real-world applications of what we are studying. In our lessons, we will draw diagrams and break problems down into bite-size steps, and I will train you to ask yourself helpful questions such as "What do I already know?", "Is this a sensible answer?" and "Did I expect those units?".

I am used to sympathetically coaching young people in unfamiliar skills, having also been the principal teacher for a university folk dance club for five years.

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Personal Description:
I am a professional, friendly and enthusiastic tutor. My focus is providing engaging and informative lessons to individuals and small groups. In my spare time I'm a sports fanatic; I play hockey and hold a black belt in Jujitsu.

Teaching Experience:
I graduated the University of Cambridge this year with a BA in Economics. My final year modules included microeconomics, macroeconomics, econometrics, public economics and my dissertation, which statistically assessed the effectiveness of covid lockdown measures in the US and achieved a first class mark (placing me in the top third of my cohort). During my studies I tutored part time, teaching maths and economics.

Tutoring Approach:
My teaching approach is problem and discussion based. This involves collaboratively working through problems and questioning students throughout their lessons to confirm and deepen their understanding. In essence, students get the experience of a Cambridge style supervision.

For example, several questions I often ask students to improve their writing are:
1) Would you say it out loud?
2) Would your teacher say it out loud?
3) Would someone a couple of years younger than you/without specialised subject knowledge be able to understand your argument?

For maths, my teaching heavily emphasises learning concepts from first principles to avoid unnecessary memorisation and confusion. We then cover a broad range of past exam questions to test all aspects understanding.

Lessons are conducted on zoom, where we can share our screens to work through problems together as a team. We also use bitpaper, a premium online interactive whiteboard.

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Personal Description:
I'm a 19-year-old tutor in Sheffield/London, who has been tutoring GCSE for over a year now during my gap year! I genuinely believe there is no better way to teach than to be relatable and reassuring. Being a student myself, I try my best to build a relationship with the student and help identify and conquer any issues lying within their subjects.

I'm truly passionate about tutoring being an older brother to two younger sisters who I've had to teach my whole life and I feel a great sense of purpose after every tutoring lesson!

I've received above GRADE 8 in all GCSE subjects in 2019 and received an A* in chemistry at A-Levels and A in Maths A-Levels.

I'm currently at the University of Sheffield studying Software Engineering.

Teaching Experience:
I've tutored four students during my gap year for 4 students consistently from November to May, helping my students build comfort and confidence in their subject choices. I've tutored both boys and girls aged 14-16 and they have achieved all grades 7+ in the subject I have tutored.

I especially like to help students who find themselves struggling with the subject on a more psychological level with their self-confidence and past experience. I have a passion for these subjects and wish to help others learn more about it.

Tutoring Approach:
I tend to start my tutoring with warm-up questions relating to the previous session as a mini tester for memory. To keep track of content during the session I tend to switch between teaching and worksheets, making sure the student doesn't feel like they're at boring old school again haha. Towards the end, I'll do a brief summary and tester questions on what we've learnt to do.

It also depends on where we are at during the school term where typically towards the end I will focus on past papers more and constantly redirect the students to more resources to help them.

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Personal Description:
I'm an experienced primary educator with over 30 years experience. I will work alongside your child and support them in their learning. Each child is an individual, so there is no 'one size fits all' that matches every child's needs. I will ensure your child has an individualised learning programme that supports his/ her requirements.

Teaching Experience:
I have been teaching since 1987. I have experience from EYFS through to Year 6 teaching the Primary Curriculum. I have experience of coordinating various subjects in schools, from Design Technology to being Special Education Needs coordinator. I currently teach KS2 children with Grammar, Spelling, Spanish and Music.

Tutoring Approach:
Each child is an individual and so my approach to teaching and tutoring is to reflect this. I have tutored a KS3 pupil in Conversational Spanish as part of her Duke of Edinburgh award (developing a new skill), as well as a KS2 pupil in Spanish, English and Maths. I have experience of tutoring very young children (EYFS/ Reception) to help support and develop their confidence

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Personal Description:
Hello! I'm Kallia, an experienced, qualified teacher. I mainly teach English and support students of ages 4-18, in a variety of skills such as reading, writing, comprehension and exam practice.

I am currently in training to become a dyslexia teacher and hopefully progress into becoming a dyslexia assessor.

Teaching Experience:
I have taught in inner city schools since 2016, when I qualified. Previously I used to work as a teaching assistant rural and city schools, starting in 2013.

My teaching experience comes from teaching across primary full time, working as a reading and numeracy support teacher with SEN children of ages 8-14 and teaching English GCSE, iGCSE and IELTS to students in the UK as well as across Asia and Europe.

Tutoring Approach:
My teaching approaches depend on the needs and goals of my students. Not one approach fits all and therefore communication is key in establishing good working patterns that will support the student in progressing and succeeding.

I have the tools to adjust my lessons to meet the criteria for those with Special Education Needs.

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Personal Description:
I am a highly motivated and accomplished professional who recently completed a master's degree in Banking and Finance. I am actively seeking online tutoring opportunities to share my knowledge and enhance students' understanding of the subject matter. I have an exceptional track record as a teaching assistant at Pattinson Education, where I have skillfully guided student learning and nurtured academic advancement.

Teaching Experience:
I've had the privilege of teaching both in person and online in China, where I've worked with approximately 40 students throughout my career. This diverse teaching experience has provided me with valuable insights into effective instructional methods.

In my in-person tutoring roles, I've cultivated close mentoring relationships with students, allowing me to provide tailored instruction to meet their unique needs and learning styles. These experiences have honed my interpersonal skills and created a positive and engaging learning environment.

Additionally, my online tutoring ventures have broadened my reach, enabling me to connect with students from various backgrounds across the globe. This digital teaching experience has taught me to adapt to evolving educational technologies while providing flexible and accessible learning opportunities.

I'm genuinely passionate about education and dedicated to helping students succeed by imparting knowledge, fostering a love for learning, and empowering them to reach their full potential.

Tutoring Approach:
My teaching methodology centers around presenting students with challenging problems to assess their problem-solving approaches. Subsequently, I guide them toward more advanced techniques to enhance their skills. Having studied in China, I've gained exposure to innovative methods that I integrate into my teaching.

Additionally, I emphasize the importance of practicing with past papers. By utilizing past exam papers and providing targeted guidance, I aim to help students achieve a remarkable 90% success rate. This method not only builds their confidence but also ensures they are well-prepared for assessments and exams.

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Personal Description:
I am a third-year medical student at Medical University Pleven with a strong academic record and a deep understanding of the competitive medical school admissions process. I achieved a high UCAT score of 2920, and received offers from all three universities where I was interviewed-success that reflects not only academic ability but also strong communication, preparation, and critical thinking skills.

What sets me apart from many other tutors is that I've recently gone through the exact same process, giving me unique insight into what current applicants truly need to succeed. I combine this up-to-date experience with a patient, structured, and supportive approach that helps students build confidence as well as competence.

Teaching Experience:
While I may not have formal tutoring experience, I treat every student with the care and attention I would give a younger sibling. Parents can trust that I'm committed, organised, and fully invested in helping their child succeed-not just academically, but also personally, as they take on the challenges of applying to medicine.

Tutoring Approach:
My approach to tutoring is personalized, goal-oriented, and focused on building true understanding rather than just providing answers. I begin by identifying the student's current level, goals, and specific challenges to tailor the learning experience to their needs. I break down complex concepts into clear, manageable steps, often using analogies, examples, or visuals to make the material more relatable. I encourage active learning by asking guiding questions and prompting students to explain ideas in their own words, which helps reinforce their understanding. Practice and immediate feedback are key parts of my process, allowing students to apply what they've learned and quickly correct any misunderstandings. I continually adjust my approach based on the student's progress, moving at a pace that supports both comprehension and confidence. Ultimately, my goal is to help students become independent, critical thinkers who feel confident in their abilities.

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Personal Description:
I am a former teacher at a GCSE and Sixth Form college in west London. I currently work in the E-learning industry. I also have my own podcast about education, Education Bookcast. I cover a book a week about education research, for the benefit of teachers, parents, and anybody who takes an interest.

I am a Chemical Engineering graduate from Trinity College, Cambridge.

Teaching Experience:
I have worked as a tutor for 7 years in total. My students vary from 11+ to Key stage 3 to GCSE to A-level as well as university level students. I have taught over 70 students one-on-one so far, as well as many more in school and in private courses for examinations such as STEP, usually for several months at a time.

Here are some of the things that my students have said about me:

"Stas is an excellent tutor, I am studying Mechanical Engineering and his knowledge of Maths, Mechanics and Thermo Dynamics is extensive. He explained things in a clear and precise way and was always well prepared for the sessions. He was also punctual and reliable; it was a pleasure to learn from him."
Jack, Liverpool University

"I am currently studying Chemical Engineering, and Stas tutored me for Process Engineering, his teaching was nothing but the best, i understood the course in no time. He explains everything from the basics, something i wanted. Honestly, I will recommend him any day! He is a brilliant tutor."
Zahra, Manchester University

"Stas is an enthusiastic and patient Maths tutor. He has provided me with some very good examples, and has been a great help."
Jim, Manchester Metropolitan University, MA Bioinformatics

"Stas is a great tutor. I feel much more confident with Maths now then I did when we first started. It is evident in my grades that Stas has helped me improve in Maths. He is very good at explaining the material that I don't understand; he uses different scenarios to help explain them which enables me to apply Maths to real life situations. I enjoyed our tuition sessions, as Stas made Maths fun!"
Sehr, Manchester, AS Maths

"My son, Alex was having problem with Biology, so far he had only few lessons with Stas but there's been a huge improvement in his grade already. We have been so impressed with Stas's teaching techniques, that we are taking on extra lessons in Maths and Physics with Stas. Stas is the most genuine teacher I've come across, there is no nonsense with him. I can see that Stas truly enjoys teaching and more importantly my son finds learning from Stas is so enjoyable."
Mel, Cheshire

"Stas has tutored me in Maths, Chemistry and Physics at GCSE level. He is very clear and explains things well. He is also very patient, will listen and when I don't understand will try to explain things in a different way. He has been very supportive throughout my exams and has helped me to feel more confident about them. We went through all of the difficult things I struggled with, so that I had a better understanding of them.
I got A*'s in all the subjects he tutored me. He is helping me with A levels now."
Kaija, London

"This has been our first experience of using a tutor and it has been very good, thanks to Stas. Not only is he very reliable, but my son has enjoyed the sessions and learnt a great deal in terms of problem solving with his maths, Further Maths and Physics. Stas has also been able to help with some more complex Chemistry work. So far, they have worked through the more challenging sections of the Further Maths syllabus and past papers. Most importantly, my son finds their sessions extremely useful and Stas inspirational to work with."
Tamlyn, London

"Stas is extremely easy to get on with, always polite and extremely patient with me.
He maintains a constant positive approach and encourages me dutifully regardless of how badly I perform.
He helps me keep track of how I am improving so that I can watch my progress based on timely reviews of what we have achieved.
Stas is a fantastic guy and a terrific teacher. Based on my experiences I would certainly be able to recommend him to anyone.
Overall Rating (10/10)"
Joe, London

Tutoring Approach:
It is easy to overcomplicate things.

- Anyone can learn anything. It's a matter of method, support, application, and belief.
- Students learn new material at first by seeing a need to learn the new thing (e.g. because they don't know how to solve a new problem), and connecting new information to things they already know.
- They then need to strengthen this understanding by engaging in problems themselves and trying to remember what they have learned.
- Many students need to gain confidence. This partly comes from encouragement, but true confidence comes from progress and success, which comes from following the above.
- Students need guidance. It's challenging enough to try to focus on the material. Teachers need to make sure that all of students' focus is placed on thinking about the content, rather than on sideline issues like trying to figure out what comes next.
- Efficiency is important. Most people have specific targets (e.g. passing an exam). Things need to happen quickly.
- At the same time, early stages sometimes need to take longer in order to build a foundation for what follows. Taking a step back can be important in order to be clear on what's really going on, and avoiding rote memorisation or "going through the motions".

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