Knutsford Maths Tutors and Knutsford Maths Tuition

Personal Description:
Born in London, I was educated in the UK and Hong Kong. I currently reside in Oxfordshire with my husband, where we both enjoy the outdoors in the Cotswolds.

Teaching Experience:
I have many years' experience in primary and secondary schools and home education in the UK, Hong Kong and Germany.

I teach in a school in Burford, Oxfordshire, and also provide home tuition to primary and secondary pupils.

Tutoring Approach:
To encourage your child to gain confidence and enjoy learning, I draw on my personal warmth and humour in lessons. I aim to help your child gain good exam results through:

lively engagement with your child's creative intelligence
continuous assessment and feedback of your child's progress
learning using a wide variety of resources

I believe learning comes alive through building on the child's immediate experiences and their curiosity for the world around them.

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Personal Description:
A result oriented tutor who immediately creates raport with tutees. Encouraging and helps the student build a high self esteem and confidence in themselves.

Teaching Experience:
I have taught science in the main stream schools for over 30 years, but have offered private tuition for 20 years.

Tutoring Approach:
I use past exam papers for students who are preparing for final exams. For non-exam students I use activities and questions

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

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

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

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

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Personal Description:
I am 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:
Professional, amiable and passionate Oxford educated teacher, with experience teaching at some of the best schools in London. A level Chemistry and GCSE Science/Mathematics tuition. Available daytime, evenings and weekends.

Hello, my name is Christopher, I've taught Science and Mathematics for over 20 years, having previously taught Chemistry and Lower Science at Highgate School, North London, as well as Science and Mathematics at City of London School for Girls. I established a tuition business back in 2005, after graduating from Oxford University (Worcester College 2001 - 2005), with a Masters in Chemistry.

Teaching Experience:
I am a friendly, approachable Oxford educated teacher with over 20 years tutoring experience, comprising a mix of one-to-one tuition, teaching within small groups as well as larger classroom environments. I have extensive, detailed knowledge of all the major GCSE and A-level examination boards, with particular expertise in the OCR, Edexcel, CIE/Pre-U, WJEC and AQA syllabuses.

I've taught A-level Chemistry and GCSE Science at Highgate School, North London, and both Chemistry and Mathematics at City of London School for Girls. I have experience teaching pupils affected with learning difficulties such as ADHD, dyslexia, dyspraxia and those on the autistic spectrum.

I also offer tuition for the BMAT and GAMSAT medical school entrance exams. Over the past decade, I have helped numerous students of school age (as well as mature students), with these difficult, niche tests, gain entry to their chosen medical school. Additionally, I offer bespoke coaching and mock interview practice for those applying to medical school and Oxbridge, including the preparation of a Personal Statement for the UCAS form (this being one of my designated roles at Highgate).

Lastly, I have substantial experience preparing students for the 13+ (Common Entrance) and 16+ exams, with some of my previous cohort gaining entry to very prestigious schools in the U.K., such as Winchester College, Westminster School and City of London School for Girls (where I taught both Mathematics and Chemistry for over two years). Furthermore, I have been an examiner for these papers too.

Trust when I say I have a deep understanding of what content goes into these tests; I've written the questions as well as marked them!

2024-2025 rate for all services: £65/hour

A 120 minute session is charged at a reduced rate of £120.

Terms: 24 hours notice is required in the event of a cancellation, otherwise full payment is required for the missed lesson.

Full online tuition services are provided utilising whatever platform you wish - whether it be Zoom, Skype or Microsoft Teams. Online lessons are streamed in full HD using professional audio, visual and lighting equipment, ensuring your experience is as close as possible to in-person tuition. Furthermore, I utilise an electronic whiteboard, so you can take notes during the lesson and we can discuss problems in real-time. Lastly, practice questions, mark schemes and notes can be sent over instantly during the lesson.

I have an extensive list of references from previously satisfied clients for your perusal - please get in touch and see my personal website and Google Business listing for more information.

Tutoring Approach:
I aim to get the very best out of students using a variety of teaching methods with a strong emphasis on exam technique. I have helped pupils of all ages and abilities both on a one-to-one basis as well as within small groups/large classroom environments.

Every person is different, and every person has his/her own grasping ability whether at home or in school. With this in mind I am very flexible and adaptable in my approach to teaching, and endeavour to create a learning environment where the pupil can thrive.

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Personal Description:
Zoom (online, highly recommended) sessions. All online sessions flat fee £30 per session for KS1 , KS2 and KS3 and £35 for A levels (sessions are nominally 50 minutes but usually lasts longer). I do a limited amount of free sessions for students with severe disabilities or families with very low income. I'm perfectly set up for remote sessions with two cameras, two screens and large bandwidth Internet connection. Screen interaction with students makes the session so much more effective and interactive and it's of course a face to face meeting. Experienced, qualified professional with excellent tuition skills in Mathematics. Very good interpersonal and relationship skills and a good sense of humour. Dedicated and enthusiastic. Achieving high success rates on a regular basis. Gentle but firm support to younger students at KS1 or KS2. Great help offered if you are at low and very low GCSE Foundation level. Great support for GCSE Higher Tiers and A levels Mathematics. Training for Entrance exams: 11+, 13+, SET. Old style and new style 9-1 Math GCSE and IGCSE. Cambridge style IGCSE. Functional Skills Maths. Trained in dealing with Special Needs students. Above all, most of my students grow CONFIDENT in themselves !

Teaching Experience:
Private tuition 1990 to present :
Mathematics for Primary and Secondary school levels in Crawley, Horley and adjacent areas.
Mathematics School teaching - part of PGCE training in Secondary Mathematics, Brunel University : schools in Crawley and London - 2001 to 2002 : have taught Mathematics Key Stages 1 to 4 in Kingston, London and St. Wilfrid's in Crawley on a part time basis.
Member of Surrey and West Sussex SATRO, Neighborhood Engineers : Variety of schools - Crawley - 2001 to 2002
Part time Private Tutor for Mathematics and Physics in Bucharest, Romania : All levels up to the European Baccalaureate stage.

Tutoring Approach:
I would like my students to understand the logic behind mathematical applications and not just memorise the mechanics of solving exercises. I aim to make Mathematics something interesting, intriguing, useful, challenging and fun. I aim to enable the students to develop a useful tool for them to use throughout their life. My lessons are planned and structured based on the National Curriculum and the respective key stage requirements.
I keep a weekly progress sheet for each student using a rating score to monitor progress and proficiency.

I am fully familiar and working with the following:

National curriculum in England: framework for key stages 1 to 4
National curriculum in England: complete framework for key stages 1 to 4 - for teaching from 1 September 2015 to 31 August 2016
National curriculum in England: complete framework for key stages 1 to 4 - for teaching from September 2016

Also with the following:

National curriculum in England: mathematics programmes of study
National curriculum in England: mathematics programmes of study - key stages 1 and 2
National curriculum in England: mathematics programme of study - key stage 3
National curriculum in England: mathematics programme of study - key stage 4

Working with material from most examination boards: AQA, Edexcel, OCR

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Personal Description:
A keen third year BSc Chemistry student approaching the final year. I'm a hard working individual that is willing to help students who are trying to achieve great results in their exams

Teaching Experience:
I have worked as a tutor where I use to teach Chemistry and Biology students. I have a lot of classroom based experience and have worked at Kumon tutoring center

Tutoring Approach:
It is very vital that a need of a student is understood and helped them in every possible way. I like to teach the content in full depth with homework provided to the students and some exams practice

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Personal Description:
In the years 1998-2005 I worked in the IT industry. My responsibilities mainly covered administrating Operating Systems and troubleshooting computer networks in small to medium businesses. I spent most of my time working with customers troubleshooting problems. I found I had a natural talent in communicating with people in a respectful and considerate manner. It also led me to improve my customer service skills which I continue to find useful as a teacher at City College Plymouth.
I have been studying a Computer Networks degree (graduated 2014) and MSc Network Systems Engineering (finishing in March 2018) at Plymouth University.
I am enthusiastic and well-organized with sterling interpersonal and communication skills.

Teaching Experience:
For the last four years I have been teaching IT, Maths and Engineering at the college, delivering lessons for levels 3-5. Alongside teaching I have achieved my certificate in Award in Education and Teaching and currently I am undertaking level 5 Diploma in Education and Training.

Tutoring Approach:
I am very happy and proud delivering my knowledge and demonstrating my skills to others. However, I plan my lessons taking care to follow best practice and deliver using active learning strategies and differentiate effectively through a variety of means. I encourage and support students with walking through problems using probing Socratic questioning to give them the opportunity to find the solution(s) themselves.

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Personal Description:
Dr. Sultan is an experienced academician and has been teaching Key stage 1-4 in UK since 2012. He is currently serving as a lecturer of engineering. He has a proven history of great results. He is well equipped with the latest curriculum of UK. He is a fluent speaker of English.

Teaching Experience:
More than 10 Years

Tutoring Approach:
Dr. Sultan has prepared special revision guides and test papers for all levels. His revision books are much helpful towards rigurous practice and a guaranteed improvement.

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Personal Description:
Long Distance Running.
• Table Tennis & Basketball Player.
• Piano Player and Ukulele player - currently achieved medium level.
• Continuing with my own education to improve my knowledge and understanding of the educational system materials

Teaching Experience:
Experiences from Primary school to AS level Chinese, up to adult learners; I have been working at Bohunt Secondary school, Liphook, Whitgift independent school, St Gregory's school, Bath and St Alban's primary school, Macclesfield as a Chinese teacher.
Experiences from tutoring maths GCSE (AQA and EDEXCEL Exam Board), a former AQA Maths GCSE examiner.
Also experienced in teaching Chinese on a one-to-one basis, from 4-year-olds to adult age groups; also a GCSE/A-level examiner.
I am also an EPQ (Extended Project Qualification) tutor at one local school in Oxford; a freelance writer at Amazon, Jinbu 1 and 2 diary for beginners to intermediate level via Amazon。

Tutoring Approach:
Teams online or face to face.

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Personal Description:
I am a friendly and approachable teacher and examiner with over a decade of experience. I hold Masters degrees in Education and Public Health, and am working on my PhD in London. Originally from North America, I have lived and worked in London since 2010.

Teaching Experience:
I qualified as a teacher of Humanities and Social Sciences (focusing on History, Religious Studies, and Psychology) from McGill University in Montreal, Canada, before moving to the UK.

In my decade in London, I have taught Health and Social Care, Child Development, Psychology, and Religious Studies at GCSE and A-level equivalents (BTEC Levels 2 and 3 included), as well as tutored university students to support them with their writing and work on research methods.

Tutoring Approach:
I like to ask questions of the tutees to get them to think, but also to connect the work with what they may have already experienced. For example, when teaching Health and Social Care concepts, it is important to link this to the world around them, including what they may have seen recently in the news.

I would usually spend a few minutes at the beginning and end of each session just to check in with how the tutee is doing and what they would like to accomplish to make sure it is a productive session for them.

I am willing to not only support with exam subject knowledge, but to help with coursework modules as well in terms of understanding the content.

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Personal Description:
As a tutor proficient in Greek, Maths, Latin, History, and Geography, my approach is tailored to foster a deep understanding and appreciation of each subject. I emphasise a balanced methodology, combining traditional techniques with modern educational tools. For languages like Greek and Latin, I focus on immersive learning through reading, translation, and conversation, enhancing linguistic and cultural comprehension. In Maths, I prioritise conceptual clarity and problem-solving skills, ensuring students grasp fundamental principles before progressing to complex topics. History and Geography lessons are interactive and analytical, encouraging students to explore historical events and geographical phenomena through discussions, maps and multimedia resources. My tutoring style is adaptive, student-centered, and aimed at cultivating critical thinking, curiosity, and a lifelong love for learning.

Teaching Experience:
With five years of experience in teaching History, Geography, Latin, Maths and Greek, my educational approach is both comprehensive and dynamic, designated to cater to diverse learning styles. I integrate a variety of teaching methods, from traditional lectures to interactive activities, to engage students and foster a deeper understanding of each subject. in History and Geography, I encourage critical analysis and contextual thinking, using maps, primary sources, and multimedia to bring the past and the world to life. For Latin and Greek, I emphasise immersive language practice, including reading classical texts and conversational exercises, to build linguistic proficiency and cultural insight. In Maths, I focus on developing strong foundational skills through problem-solving and logical reasoning, esnuring students are well-prepared for advanced concepts. My goal is to create an inclusive and stimulating learning environment where students are motivated to explore, question, and connect the dots across disciplines.

Tutoring Approach:
My approach to tutoring is centered around creating a personalised and engaging learning experience for each student. I believe in understanding the unique needs, strengths, and challenges of my students, which allows me to tailor my teaching methods accordingly. I use a variety of instructional strategies, including hands-on activities, real-word applications, and multimedia resources, to make learning both relevant and enjoyable. By fostering a supportive and interactive environment , I encourage students to ask questions, think critically, and develop a deeper understanding of the material. My goal is not only to help students excel academically but also to instill a lifelong love for learning and curiosity about the world around them.

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Personal Description:
I am a qualified maths teacher with experience of classroom teaching in schools. I live in Crewe, Cheshire.
I am very passionate about teaching Maths and I specialise in secondary teaching and can offer tutoring service to KS3 and GCSEs. This also includes work with children with special educational needs.

Teaching Experience:
I am in fourth year of my teaching.

Tutoring Approach:
I believe that a strong mathematical foundation is very important for every child. I am passionate about helping students exceed their ability and build their confidence. I tailor my approach to each individual's needs and devise a personal plan based on their level of understanding and knowledge. Students learn differently and I always patiently work with them to determine what is best for them.

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Personal Description:
I am a fully qualified and GTCS registered primary teacher of over fifteen years. I have considerable experience across all ages and stages and have extensive experience working with children with additional support needs, both in a classroom setting and 1-1 tutoring. I have a proven track record in delivering excellence and in supporting learners with a range of needs.

Teaching Experience:
I have been teaching for 10 years across all stages of the primary curriculum. I have experience of working with children with a range of additional support needs in the classroom and 1-1.

Tutoring Approach:
I try to make my tutoring sessions fun and interactive, using a mixture of ICT, games while maintaining a focus on formal written methods. I have experience of tutoring both maths and language and working to support learners needs such as hearing impairments, ASD and dyslexia.

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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:
I am always passionate in teaching and learning. My first degree is MA English (Literature). I completed masters in Education from Roehampton University London. I understand teaching is the way to transfer knowledge using pedagogical approaches so I try to bring effective teaching strategies to assist my students.

Teaching Experience:
I have been teaching A level and GCSE Biology, Chemistry, General Science, Urdu and English as a foreign language for more than seven years.

In addition, I have been training students for IELTS for more than four years.

Tutoring Approach:
Lesson planning
One to one lectures
Mock test
Monthly test

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Personal Description:
Dedicated and result driven mathematics teacher, with a proven ability to an imaginative and positive earning environment for pupils. Highly skilled in developing new methods to impact expected and desired knowledge on pupils while encouraging and challenging them to deepen their knowledge and understanding.
I have been recognized for my work in enhancing the learning experience for pupil and enabling pupils to pass their basic Examination council mathematics subject and also covering the necessary syllabus for the class

Teaching Experience:
Junior and Senior Class Mathematics Teacher June 2021-Present
Ansar-Ur-Deen Secondary School Liberty Road Ibadan, Oyo-state, Nigeria.
Responsible for teaching mathematics curriculum under the direction and guidance of the school principal. In charge of organizing classes and responding to the strengths and needs of pupils during lessons
Duties
• Coordinate extracurricular classes for the student preparing for the national exam (Junior and Senior (WAEC)
• Working in accordance with the school's curriculum statement and policies.
• Monitoring and assessing a pupil's progress.
• Participating in developing appropriate syllabuses, materials and Schemes of Work.
• Ensuring confidentiality at all times.
• Carrying out a share of supervisory duties.
• Participating in and contributing to staff meetings.
• Actively involved in curriculum review and development.
• Teaching within the designated subject areas (Maths)
• Ensuring the correct use and care of equipment and resources is maintained.
• Participating in appropriate meetings with parents.
• Planning and preparing appropriate lessons and suitable teaching materials.
Junior Class support teacher/Internship June 2018-June 2019
National Bureau of Statistics (NBS) Staff School, Oyo state, Nigeria
Responsible for positively and regularly contributing to the school's extracurricular and enrichment program, coaching and supporting students to develop their academic skills.
Duties:
• Supporting classroom management and assisting with general administration.
• Providing administrative support.
• Keeping up to date with new teaching initiatives.
• Maintaining records of student admissions
• Participated in the fieldwork for the collation of data
• Data analysis and updated information in the data bank
• Filling of Logbooks and inputting data generated on the field into the system • organize and coordinating statistical work of the department concerned, accomplishing the tasks in national and local statistical surveys
Junior Class Mathematics Teacher July 2016-June 2017
De- fridaus Model College Omi Apata Ibadan, Oyo state, Nigeria
• Develop Modul for teaching junior class mathematics
• Update lesson notes before and after each class
• Coordinate extracurricular classes for the student preparing for the national exam Junior secondary school examination
Senior Class Physics/Mathematics Teacher September 2014-February 2015
(NCE-Teaching Practice)
Alabata Community High School, Moniya, Ibadan, Oyo state Nigeria
I participated in a compulsory National Certificate of Education Teaching Practice to learn the practical part of teaching and subject-curricular thought in school. I spent days teaching pupils physics and mathematics
VOLUNTEER EXPERIENCE
The Young Mathematics Learners Group May 2017 - Present
Leader Volunteer
• Create and update mathematics Curriculum for Junior and senior secondary school students
• Work remotely to ensure dissemination of math curriculum among students
• Coordinate pre-examination classes for the student within the community.
• Assist high school students with math coursework such as geometry, pre-calculus, and calculus
• Develop quizzes to help students understand mathematics material

Tutoring Approach:
Able to interact and form relationships with other professionals and agencies
associated with the school.
• Knowledgeable about all areas of teaching.
• Can liaise effectively with parents through home/school diaries and phone calls.
• Can support students with emotional or behavioural problems and help develop their
social skills.
• Excellent classroom skills.
• Playground monitoring and interventions to remind children of school rules.
• Strong Behaviour Management Skills.

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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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