Gordon Maths Tutors and Gordon Maths Tuition

Personal Description:
I am mum to two boys, both who have flown the nest. I miss them greatly now that they are based in London but try to visit as much as I can. I love to shop and also exercise, especially pilates. Oh and I do love to cook!

Teaching Experience:
I studied at Dundee College of Education where I gained a Diploma in Primary Education. This was a three year course. I then took another Certificate in Early Years. After leaving College, I taught in both the state and private primary sector. I left teaching to have my children and then to nurse my youngest child who was quite sick for a few years. Once his health was better, I started working as a tutor from home or going to the client's house to tutor. I now tutor seven days a week. I have experience in Maths, Language, Phonics and Grammar. I also tutor children in preparation for entrance exams in to the independent sector, which includes Verbal, Non-Verbal Reasoning, Maths, Language and Spelling. The children I have tutored have all had great success, many going forward for a scholarship.
I have an online Dyslexia touch type programme which has had tremendous success. Many children, with the school's permission , come to be tutored within school hours.

Tutoring Approach:
I always believe that the child should feel comfortable with the person they are being tutored by and build up a good relationship. Tutoring is not only about helping the child to succeed but also for them to gain confidence and self belief. I have various methods of tutoring from written work, reading and oral work. I also have a computer available where we can work from. eg online games After each lesson, I give the child homework to be completed for the next lesson.

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Personal Description:
I am 43 years old and hold a Masters degree from Oxford University. I work full time as a tutor, now offering lessons online and face-to-face.

Teaching Experience:
I have been tutoring on a one-to-one basis for over 20 years. I also sometimes teach small classes. I am happy teaching children, teenagers, university students and adult learners.

Tutoring Approach:
My teaching uses traditional methods and lively interaction. I expect the student to complete tasks between lessons. Without repetition and revision no-one can be expected to remember. Therefore, I am not afraid to go over the most basic elements until they are well known. Solid foundations are the basis for confidence.

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Personal Description:
I am an experienced and well qualified teacher with an enthusiasm for my subject and a real concern for those who struggle with maths. I have helped many get over their fear of maths as well as helping able students to gain Oxbridge places. I have retired to this area where I enjoy living near the sea, and walking. I volunteer at the Regent Centre, sing with the Grange Choral Society and have three grandchildren, two in London and one in USA and spend what time I can with them, using skype to talk to my family in USA. My husband and I both enjoy gardening.

I teach from Junior School to A level, helping pupils to achieve their full potential.

Teaching Experience:
I am an Oxford graduate with more than 20 years of teaching experience in schools including A level maths and further maths (pure, statistics, and with a particular interest in mechanics). I have also given private tutoring for more than 20 years to a large number of pupils studying from SATs to A levels. Many of those I have taught have returned for help with further exams, or have sent their friends to me, so most of my pupils have come through personal recommendation.

If travelling to my home is difficult I am happy to teach over the internet. I am happy to advise how to work with a screen that both teacher and pupil can write on, so that it can work almost Like being in the same room.

Tutoring Approach:
It gives me great pleasure to help those who struggle with maths to gain confidence and even come to enjoy the subject as well as helping the high fliers get their A grades. I think it important to give students work that is within their capability so the pupil can feel the achievement of getting things right, then we can increase the difficulty while maintaining confidence. My pupils have achieved well in public exams.

One to one teaching enables pupils to work at their own pace, and ask all the questions they do not dare ask in school. I can concentrate on each pupil's individual needs.

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Personal Description:
B.Sc.(Hons) Geography with Geology and Economics at Swansea University
Ph.D in Geomatic Science at University of Newcastle-upon-Tyne
Married with 2 daughters

Teaching Experience:
Tutoring of friends' children to GCSE during past 10 years
Private tutoring for 20 years

Tutoring Approach:
My approach to tutoring is to reinforce teaching of topics that are simultaneously being covered at school, and to overcome difficulties hghlighted by the students themselves in a more relaxed but studious environment; this may be in their own home or mine.

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Personal Description:
Hello there,

Thanks for taking a look.

I have been a tutor for over 15 years. Along the way, I have learnt a lot about the role and how significant it can be. For some students, I am a mentor for their whole educational experience whilst others see me as a specialist in one area.

Alongside tutoring, I am a professional actor (hence the posey photo!) and have recently worked at the National Theatre and onscreen. Acting has deepened my ability to connect with others on a personal level, fostering empathy and understanding - qualities that I bring directly into my tutoring. I believe this helps me create a supportive, engaging, and personalised learning experience for every student.

I specialise in tutoring English Language & Literature, Drama, Maths, 11+ Common Entrance exams, and general Primary school support. Beyond traditional subjects, I also work as a Communications Coach, where I've helped over a hundred clients improve their Public Speaking, Interview Techniques, and Accent Clarity.

Choosing the right tutor can be challenging, and I'm more than happy to answer any questions you may have. I look forward to helping you or your child thrive!

Nick

Teaching Experience:
I have been tutoring for over 15 years. This has included lots of online tuition as well as face-to-face. Here is a selection of my clients:

IB English - I worked with Pietro online for over 7 years and saw him through his IB, in which he achieved grade 7 (highest grade).

A Level English Literature (AQA) - worked with Oliver (17) helping with coursework on The Great Gatsby and the poetry of Keats and Larkin. Oliver achieved an A grade.

AS Level Drama (AQA) - helped Yasmin to explore the analysis of texts of Lady Windermere's Fan and A View From The Bridge in preparation for exams, in which she achieved an A.

iGCSE English Literature / Language - I have been working online with Pietro (based in Rome). We have been working on both his school work as well as his wider approach to learning and English.

GCSE English Literature / Language - I worked with Joseph during his final year of GCSEs. Texts included Macbeth, Love & Relationships (Poetry), Jekyll and Hyde and An Inspector Calls.

11+ - I tutored Amaara through her 11+ exams on all papers (English, Maths, Verbal and Non-verbal Reasoning). Amaara gained entrance (including some academic scholarships) to City of London School for Girls, Putney High, Francis Holland and JAGS.

11+ - I worked with Olivia in preparation for her Common Entrance exams on all papers (English, Maths, Verbal and Non-Verbal Reasoning) as well as interview practice. Olivia is now attending North London Collegiate School (her first choice) but I also prepared her for entrance to Highgate School for Girls, City of London School for Girls and Queen's College.

Primary Help - Worked with brothers Teddy (7) and Alfie (10) mainly on English and Maths but across all subjects generally to improve knowledge, confidence, spelling and vocabulary.

7+ I worked with Inigo on in preparation for his 7+ exams in Maths and English. Inigo is now attending Dulwich College.

7+ Currently working with Ari (5) towards his 7+ exams.

English for Foreign Learners - Helped 8 year old Augustinos (Greek) with reading and homework to improve English, as well as taking him on educational trips around London.

Voice and Elocution - Helped Law Student Amar (20) with speechmaking and projection for use in debating.

SEN - worked with Dean (20), a law student with dyslexia, upon exam preparation and practice.

Communications Coaching - I am a trained communications coach and have worked with over 100 clients one-on-one from Public Speaking, Interview Technique, Accent Clarity and Communication Techniques.

Tutoring Approach:
I believe that the key to effective tutoring is strong communication. My approach is entirely student-focused: together, we'll figure out the most productive way to work and make the most of our time. While I always come prepared with a plan, I'm flexible and responsive - if something comes up, we can address it right away.

Above all, I aim to make our sessions enjoyable and something to look forward to. I ensure that lessons are practical and engaging. Even if we're tackling a subject you find daunting, I welcome the challenge of helping you discover a way to enjoy it.

If you have any questions or specific requests, please don't hesitate to reach out. I'm here to help!

I am happy to give a 10% discount to online tuition.

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Personal Description:
I am an enthusiastic and flexible teacher who likes to encorporate a range of styles and approaches to help my pupils achieve their full potential. I believe in tailoring support and approach to the individual learning needs of my students and provide a safe and creative environment in which to learn.

I have taught in Year 6 for over 10 years and work in a good school with good SATs results.

Teaching Experience:
I have taught in a variety of primary schools over the last 18 years and am currently a senior manager and Year 6 teacher in a large primary school. I have experience across all primary phases and have worked with a wide range of abilities and special needs.

Tutoring Approach:
I am dedicated to encourage and enable children to learn and achieve their full potential. Success, even in small steps is paramount to build self esteem and confidence and I believe that this is a key part of my teaching style.

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Personal Description:
I have seen students` confidence in their abilities increases and their understanding deepens. Both students and parents have offered positive feedback from the great improvement in their grade as a result of my tuition. For example, a student`s grade in A Level Physics improved from originally an E to an A after my tuition, while others attend their preferred schools after help revision for their entrance exams.

Teaching Experience:
After various school placements, such as teaching classes at St Aidan`s (ranked amongst the highest achieving comprehensive schools in the country), for over five years I have helped a multitude of pupils ranging from as young as six through to mature students.
Having experienced rigorous training, I am an Examiner for a major board and have relished the challenges of marking
candidates` papers. I feel this gives me an invaluable perspective when preparing my students for their own tests.
I am familiar with the different examination boards, particularly AQA, Edexcel, OCR, CIE and ISEB. Covering English and Reasoning where desired, I have prepared students for 7+, 8+, 11+ and 13+ entrance examinations as well as the STEP and PAT tests required for the Universities of Oxford and Cambridge. With my tuition, students have gained entrance to the schools of Aldenham, Fulham Prep, Harrogate Ladies, Sedbergh, Charterhouse and Latymer. After my tuition, candidates attained the necessary grades for their university offers, including from Oxbridge, to study courses relevant to our preparation. I also have experience aiding with IB and professional skills tests together with Pre-U and IGCSE.
I am happy to offer tuition for all other syllabuses as well, for example WJEC and for free-standing maths qualifications.
I also offer tuition to adults wanting to improve their own maths understanding and skills, for example to help with their career or to pass graduate skills tests such as Kenexa, SHL and numeracy for QTS etc.
I have helped several students with Asperger Syndrome, those with dyslexia and students who are home schooled, have conditions including severe physical handicaps, speech and language difficulties or have had to change school due to behavioural difficulties. Furthermore, I have been trained for and have taught looked after children and also have experience of helping those for whom English is an additional language.

Tutoring Approach:
I find I can relate to students in a calm and patient manner and I have enjoyed helping them through difficulties with their subjects. I endeavour to find and solve the problems students have in their understanding to give them a firmer grasp of the topic, with the benefits from this being increased confidence and improved results.

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Personal Description:
Hello -
I am an Ivy League PhD in Astrophysics (did my postgraduate studies between Columbia University and Harvard), a former university researcher and university course teacher.
I offer STATISTICS and MATHS lessons and tutoring in London (zone 1-2) for adult learners, university students, finance professionals and high school students.
I'm originally from Italy, bilingual, fun, patient, with 10+ years of experience in tutoring and a very high rate of client success and satisfaction. I'm available for coursework review, exam and standard test preparation, help with statistical analysis for thesis or other projects. Professionals and adult learners that want to refresh their maths / statistics skills are very welcome. I have worked with students from Imperial College, London School of Economics, King's College, Birkbeck among the others. I have also been hired by some VIP clients and international students.
Topics I can help with include: basic and advanced statistics, stochastic analysis, probability, hypothesis testing, regression, non parametric methods, statistical analysis and tests, SPSS, modeling, calculus, differential equations, mechanics, algebra and linear algebra, geometry, trigonometry, GMAT, GRE, GCSE, A level examinations, Numerical Reasoning Tests, Econometrics
Please specify the topics you need help with in your reply. Samples of assignments/tests/problems and a syllabus are also helpful to assess if I'm the right tutor for your needs. Please note that I do not help people cheat on their tests or do their assignments.

I charge 50 pounds/ hour for lessons around King's College and London School of Economics (the Strand / Embankment/ Waterloo / SouthBank) and in Camden Town. I can travel to other places in zone 1 and zone 2, but I charge 65 pounds/hour.
DURING COVID CRISIS, I am offering ONLINE tuition at 45 pounds/hour for A-levels or advanced maths, and 40 pounds/hour for GCSE maths.
Flexible hours, but only committed students. 24 hours cancellation policy. Minimum booking: 2 hours. Feel free to drop a line for further details! MONEY BACK GUARANTEE if you don't enjoy your first hour of tutoring.

- NOTE to tutoring agencies that keep contacting me for their clients: happy to collaborate if mutually beneficial, but please make sure to offer compensation in line with my fees. -

Teaching Experience:
Tutoring science subjects for more than 10 years.
University course teacher

Tutoring Approach:
Lessons tailored depending on needs.

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Personal Description:
Over the last 10 years I have developed a maths tutoring business for underachieving and under confident children, covering KS2,KS3 and GCSE,I use a combination of online, interactive maths support and face to face tutoring for children and young adults who for one reason or another find maths difficult.

Teaching Experience:
In my experience working with many students in a supportive, relaxed and friendly atmosphere on a one to one basis is completely the opposite to the classroom environment.

Students often find it difficult due to pier pressure to question when struggling to understand a particular topic.On a one to one basis this is easily overcome and it does result in significant improvements in their attainment.

I have the experience and skill to help pupils make speedy progress towards achieving their goals. I work from home or at the pupils home and on-line.

Tutoring Approach:
My approach to learning is to develop a happy relationship that encourages my pupils to take risks, develop their own self-belief and so come to enjoy Maths. I have the enthusiasm and commitment to help pupils make speedy progress towards achieving their goals/grades. Working in a relaxed atmosphere allows a pupil to go away with a sense of achievement. To me there is no better reward.

The ultimate aim is to improve on the students predicted grade.

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Personal Description:
Engineering student at Exeter University with industrial experience in finance and turbine engineering, having studied Maths, Economics and Chemistry at A Level.

Teaching Experience:
I have tutored at GCSE on and off for the last two years. My younger sister is currently GCSE age also so I am familiar with the current syllabi.

Tutoring Approach:
I am familiar with the current GCSE syllabus, and with different methods students may be asked to solve the same question. I focus on identifying a students weaknesses early on, then providing a simple solution. Additionally, I can help students with exam technique and offer methods to maximise the time given for the paper.

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Personal Description:
Hi, my name is Sean and I am 57 years of age. I have recently retired as a Deputy Head teacher and from full time teaching, having worked in Primary schools for 32 years. I am a very hard working, conscientious tutor and have always been passionate about children's education and the way in which every pupil has the potential to succeed. I have two grown up children who are currently in the world of work and studying at university respectively. In my spare time I enjoy reading, walking and the occasional game of golf.

Teaching Experience:
I have extensive experience of teaching children in the 7-11 age range and have taught Years 5 and 6 for the last few years. I have worked with children who have a wide range of ability and always get a real thrill from watching pupils progress and develop in confidence. My particular specialism is in English and Maths where I have regularly achieved outstanding results in the end of Key Stage 2 SATs tests.

Tutoring Approach:
I encourage a relaxed yet hardworking environment when working with children, assessing their knowledge and skills, and setting clear, achievable goals. My enthusiasm, patience and ability to teach methods and concepts clearly, ensure that my pupils make substantial progress.

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Personal Description:
My teaching style could change my student's needs. I would like to start from the simplest form and based on active learning, assessment, and metacognition. In my lessons, you could find more Socratic and metacognition methods because memorizing is not learning.

Teaching Experience:
11 years of teaching experience. Last 4-5 years, I have taught As and A level physics. Additionally, I have taught science and math before.

Tutoring Approach:
Firstly, I need to know my student and his/ her weak and strong sides in learning. After that, I would like to find the best suitable method that corresponds to my student learning style. Finally, I am ready to teach and my student is convenient to learn anything from me.

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Personal Description:
I'm 4th year MSci Physics student at UCL. I'm great with people and as a student I know the difficult parts of the courses and can explain concepts in the simplest ways. I'm certain I can help your son/daughter achieve the grade they want at GCSE and A-Level in sciences and maths.
It's not only academic help that I can offer, I can:
- share my study tips and habits that become essential as your child moves on to higher learning
- share my up to date knowledge of what you need to do to ensure a bright future for them and secure their dream job

I have 9A*s (including all sciences and maths) and 4As at GCSE.
At A-Level I achieved 3As (Maths, Physics, Chemistry) and 1B (Further Maths)
Currently pursuing an MSci in Physics

Teaching Experience:
I have a few months of tutoring experience working with secondary school children during my A-Levels, I was selected as a physics mentor at the Liverpool Blue Coat school. I have university level teaching experience gained through tutoring my brother who is also a university physics student. I can guarantee that I will be able to deliver high quality lessons to your son/daughter if I am their tutor.

Tutoring Approach:
Often students don't understand a topic simply because the teacher hasn't put it into language the student understands. I do my best to convey ideas in clear and simple language to cut to the essence of the topic. As a current student the struggles and pitfalls of learning are very fresh so I can help someone else avoid the same issues.
I believe in STEM subjects the most important and useful way to improve is to practise a lot of questions and this will be my main method of tuition. Your child and I will discuss concepts and then apply them to concrete problems during the sessions. I will then provide some homework questions that they should attempt in their own time and will always provide complete worked solutions to all homework set by me.

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Personal Description:
Hi!
I'm Necdet and am a student of Boğaziçi University's teaching physics program. I have successfully completed the first year without failing any of my lesson and getting a GPA of 2.42. I am a Turkish Cypriot and I am quite familiar to the GCSE and A-level curriculum. Apart from my academic background I'd like to address couple more stuff I have in my life. First off I have to state that I love learning and teaching new stuff, and also I believe teaching is the older brother of learning; as you can not say that you have learned something deeply if you are unable to teach it to someone that does not know it; like I play chess and have been the 6th table player of my municipality's chess team. Even though I have attended many many games with that team I was not aware of the fact that thinking simple would actually be a benefit in any game, and I realized this when last year I have aided an association's chess team in stars category as an educator. When working with youngsters that are looking at the game much simpler than you do, you have to match their energy and try to predict what obstacles may get in their way, and I believe this working experience improved me quite a bit in that matter. There are couple more sports that I am into and have been a part of, I have listed them in my CV and I do not want to make this message too long and boring so I am stopping here:))

Thank you for your time and I am looking forward to hearing from you!!!

Necdet

Teaching Experience:
I am actively working in a private tutoring association for more than 2 years and also I have given many private lessons from grade 4 all the way up to adults.

Tutoring Approach:
Tutoring is not only a job for me, but also a way to stay active in life and become more energetic. Being with and tutoring youngsters boost my confidence in our future!!

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Personal Description:
Hello! I would consider myself a patient tutor with experience. My preference is to hold in person lessons with my students and teach them to understand the topics, rather than to just pass the exam.

Teaching Experience:
I am a female maths tutor with 5 years experience teaching the subject to all abilities for GCSE and KS3. I am also familiar with Edexcel, OCR and AQA exam boards. If you have an alternative exam board, I would be happy to look into this as well. My preference is to hold in person lessons.

My own qualifications include studying maths within my Economics degree as well as at A-Level. I also have a DBS check which is available on request, as well as references.

Tutoring Approach:
I help students prepare for exams, work on class work with them where they need guidance with and help them improve in a particular subject that they're struggling in. I am also familiar with Edexcel, OCR and AQA exam boards. If you have an alternative exam board, I would be happy to look into this as well. My preference is to hold in person lessons with my students and teach them to understand the topics, rather than to just pass the exam.

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Personal Description:
I'm a graduate of the University of Cambridge (Murray Edwards College) in Natural Sciences, specialising in Physics, with over five years of teaching experience. After university, I spent a year as a Science teaching assistant in a top Oxford senior school, and a further two years as a classroom teacher abroad, mainly in China, where I taught Physics and Maths A level. I just finished studying for a Masters in Environment, Politics and Development at SOAS in London. I live in Brixton and am available for online or in-person tutoring and have a flexible schedule.

Recent review from a GCSE maths client:

"Freya was an absolutely fantastic tutor. My daughter started off really reticent but very quickly started to enjoy and look forward to her tutor sessions. Her confidence increased at each session and Freya was able to explain things in a way that made sense for her. Thank you."

Teaching Experience:
I have completed over 800 hours of GCSE, A Level and Oxbridge admissions tutorials for science and maths. I also used to work for the business side of a tutoring company so I know how to provide a quality service.

Tutoring Approach:
I like to explain concepts using real world examples that students can visualise and recall the next time they have to answer a question on that topic. I absolutely love Science and Maths, and aim for my enthusiasm to rub off on my students! Previous tutees of mine have said I gave them confidence and passion for their subject while made them feel comfortable to dig deep into their understanding of topics without feeling scared of making a mistake. Outside of teaching I enjoy playing music, swimming and writing.

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Personal Description:
I transitioned to teaching from a business career following the birth of my children and found that I thrive helping people learn. I seem to have a natural aptitude for understanding someone's barrier to understanding an issue or concept and helping them overcome that, enabling them to make further strides in their learning process. I am particularly able to put mathematical principles into everyday language such that whether someone feels intimidated or inspired by maths they become able to develop beyond what they felt was their limit.
During my teaching career, I have successfully helped people from a wide range of backgrounds, including people with sight and hearing issues, people who feel limited by mental health issues, people regarded as neuro-atypical and people for whom English is an additional language.

Teaching Experience:
I have 15 years experience as a Mathematics Teacher in English grammar, comprehensive and independent schools, teaching students from Year 7 to Year 13, including Further Mathematics and Oxbridge entry.

Tutoring Approach:
My aim is for my students to make great progress in learning mathematics by helping them understand how and why the key concepts work, giving them a chance to practice the key skills and extend their capabilities so that their growing confidence allows them to use these skills to solve problems and move successfully to the next level. I am told that I am patient, supportive and friendly with high expectations that anyone can succeed with the right help.

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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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