Beauly Maths Tutors and Beauly Maths Tuition

Personal Description:
I am a full time A Level Physics and Mathematics teacher at a Tertiary College. We have about 50 students in each of years 12 and 13. 26 of our Physics students gained grade As at AS Level in 2006. 48% A and A* at A2 Level in June 2011. This is twice the Welsh average which puts us at the top of tree. 67% A*,A or B in 2012 in my class.Three of my students have won the Institute of Physics prize for the highest A Level marks in Wales with several gaining 600/600. I also teach A Level Mathematics (Pure, Mechanics and Statistics) and A Level Electronics. Previously I was head of Mathematics, Computing and Physical Sciences but I preferred teaching to administration so I returned to full-time teaching. I like to entertain and inspire! I am married with three children. I have a wide range of interests from sport to photography.

Teaching Experience:
25 years experience of Physics and Mathematics teaching at a Tertiary College and a Comprehensive School. Previously an examiner for most of the major examination boards at A Level and GCSE. Previously taught TaeKwondo and swimming.

Tutoring Approach:
Home based. Fully resourced. Private study.
On line teaching available using a multi camera system with real and virtual whiteboards.

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Personal Description:
I am a mature Scottish Chartered Teacher who qualified initially in 1994. I received the Chartered Teacher from the general teaching council for Scotland in 2010. I have experience of tutoring students from 2006 and I am very enthusiastic in my work. I do not watch the clock and will prepare lessons to meet the needs of the student. I gained a M.A.Ed.(Special Needs) in 2005 and have found it invaluable in identifying and overcoming barriers to learning.Presently I have a wide range of students including those with Dyslexia and Aspergers. I also tutor for a family who home school their children.

Teaching Experience:
I have tutor children and young adults from upper primary to the senior stage in Secondary. I have no preference for the stage, it is the teaching experience I enjoy.

Tutoring Approach:
I adopt a very pupil centred approach to teaching. All children are different and it is your child's needs I must meet. Some students like to work on homework others on specific parts of the course. There is no general case to consider. I will use an approach to teaching which suits the student.

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Personal Description:
I am a Chemistry Teacher in a Secondary School where I teach Chemistry and Physics from year 7 to year 11. I also teach A-level Chemistry (AQA Exam Board).

I can help students to practice exam skills and revision techniques.

I am also an Italian native speaker, so I can teach Italian at any level. I am also able to help with French from Primary to KS4.

I like helping others, so I enjoy helping students to achieve good grades.

Teaching Experience:
I am a Science Teacher in a Secondary School.

I have a PGCE in Secondary Science - Chemistry, and a PhD in Chemical Engineering.

Regarding teaching languages, I am an Italian native speaker and I am also fluent in French.

Tutoring Approach:
I like to be systematic without being too severe. I like to establish a good relationship with the students, based on a reciprocal respect.

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Personal Description:
I am an English teacher and tutor with 20 years of experience of teaching one-to-one and in classrooms to children of all ages and adults. I have taught children from aged 3, and classes of adults with up to 75 students! I teach all levels from beginner to proficiency. Full CRB certificate, MA Applied Linguistics, BA Hons Modern Language Studies.

Teaching Experience:
Southgate and Barnet College of Further Education, London
September 2013 - June 2014
• CAE Advanced English

English Support and Study Skills Tutor - South London College Woolwich London
October 2009 - September 2013
• English Support
• Pre-sessional English
• Study Skills
• Business English
• Exam Classes: IELTS, FCE, KET, PET

Teacher of English as a Foreign Language - University of Westminster London
July 2011 - August 2011
• Pre-intermediate TEFL teacher (summer school)

Teacher of English as a Foreign Language - Shakespeare College London
March 2009 - October 2009
• Upper Intermediate and Advanced General English
• IELTS

Teacher of English as a Foreign Language - Lite College Bayswater London
January 2008 - March 2009
• General English
• Beginners to Advanced

Sales and Office Manager - Log World 134 South Street Romford
May 2005 - January 2008
• Liaising with customers and companies worldwide
• Responsible for sales and the efficient running of the office

Teacher of English as a Foreign Language - East London School of English Whitechapel London
February 2004 - April 2005
• Beginners to Proficiency
• IELTS
Teacher of English as a Foreign Language - English for Kids Guadalajara Mexico
January 2002 - January 2004
• TEFL teacher for children aged 4-18

Teacher of English as a Foreign Language - IBM El Salto Mexico
February 2003 - August 2003
• General English Intermediate course for Management
• Responsible for course design and materials

Teacher of English as a Foreign Language - International Language Academy London
September 2000- September 2001
• General English all levels
• IELTS
• Business English

Teacher of English as a Foreign Language - Southwark College London
May 2001 - September 2001
• ESOL Tutor
• Course Design and Planning

Tutoring Approach:
I like to make my students feel comfortable and make the lessons enjoyable and fun while challenging enough to make the student feel that they are progressing. I design activities which are varied, interactive and engaging. I enjoy teaching using a variety of methods comprising all the four skills and can promise very impressive results.

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Personal Description:
I currently work in a 6th form college in Warrington where I teach and have taught a range of maths courses. This includes functional skills, engineering maths as well as the new specification GCSE and A level qualifications.

My ability to explain maths is one of my greatest strengths which I can do both verbally and in writing.

As well as being a teacher I am also an approved author for Pearson and I am part of the authoring team at Hodder where I have recently co-authored an iGCSE revision guide which will be available early 2019.

Teaching Experience:
My teaching experience dates to 2010 and in these years I have worked at Priestley College (Warrington).

Tutoring Approach:
When it comes to tutoring it is important for me to determine what students are finding difficult and work on those areas. I do require students to complete any work that I have set and I always provide an email/mobile for students to contact me out of the tutoring session to go over any difficulties that they may have.

It is important to keep the tutee positive and to provide lots of encouragement to them especially if they are not particular keen at studying maths.

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Personal Description:
I am 49, married and a proud father of two lovely daughters. I enjoy keeping fit and have recently discovered running and the sense of achievement and pride one can get from it. I am an approachable person who enjoys the company of family and friends. I like to visit new places and try to make the most of what comes my way.

Teaching Experience:
I am a qualified teacher with experience in teaching and preparing students for 11+ / entrance exams in English and Maths. With 20 years teaching experience, I have worked in both state and Independent school settings. I have prepared many children for their examinations in the schools I have taught at and individually through tutoring. All children are successful in attending their chosen school.

I currently enjoy teaching in an independent primary school setting from 4 - 11 year olds and have experience in teaching all subjects to a wide age range.

As well as specialising in preparing children for entrance exams and 11+ I have a masters level qualification in Special Educational Needs (SEN). I am genuinely passionate about helping those children with barriers to learning succeed, and to become happy and confident learners.

Tutoring Approach:
I believe fun, enjoyment and confidence are the key elements of learning. It is imperative to teach in a variety of ways and establish the best learning style for each individual pupil exploring Visual, Auditory and Kinaesthetic methods of learning. By 'doing' a learner learns and remembers. My initial training as a teacher has helped me to teach any subject effectively. Helping students overcome barriers to learning and making progress are the things I enjoy the most about teaching. I am genuinely passionate about my subjects and in seeing learners reach their potential. I too enjoy the challenge of mastering new things and embracing the notion that you never ever stop learning.

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Personal Description:
I am a long-time teacher, lecturer, examiner and professional tutor with a patient and supportive approach.

I passed my PhD in English at the University of Leicester. I also hold a Masters with Distinction from Oxford Brookes University and a First Class undergraduate degree from Loughborough University.

Teaching Experience:
I have successfully taught at over ten schools, four major universities and tutored several hundred private students.

In addition to weekly supplementary tutoring, I also offer a homeschool tutoring programme and am happy to take full responsibility for the independent delivery of the curriculum.

I hold qualifications in educational psychology and in supporting adult dyslexia.

At home, I live in Oxfordshire with my wife Kate and two stepsons. I enjoy music festivals, running and long walks with our dog Maple.

Tutoring Approach:
My approach is friendly, gentle and supportive but extremely professional. I aim to combine creative and emotionally engaging teaching with expert subject knowledge.

At the heart of my tutoring is how important it is that a student believes in their own ability to learn and to progress. If there is one word I hear my students kindly use to describe my qualities it would be 'patience'. Yet I never feel like my patience is tested - I love the challenge of finding new, innovative ways to help them understand their subject.

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Personal Description:
Hi, my name is Harriet and I am 21 years old.
I have worked in primary schools as a 1:1 teaching assistant for three years and have been tutoring Maths after work during this time.
I am now fully focusing on tutoring Maths at Primary level.

I enjoy the outside and spend lots of time out on the water.

Teaching Experience:
I have worked in three primary schools as a 1:1 teaching assistant over three years and have been tutoring Maths to primary school students for the same amount of time.

Tutoring Approach:
I am a patient person who can spend time with your child explaining things clearly to make sure they understand the methods of mathematics, while also setting good expectations ensuring that they can achieve their full potential.


I aim to build your child's confidence and enthusiasm in maths which will aid their success.

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

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

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

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Personal Description:
Hi, I'm Billy!

I've recently graduated from studying English at Exeter College, Oxford and have began teaching full time. I love reading, music, dancing and travel - mainly things that bring me closer to understanding and connecting with people. As a tutor I am firm and supportive, but can tailor my approach depending on the goals of the student.

Teaching Experience:
I've consistently been working as a tutor for over 3 years.

I've worked as a full-time teacher and activity leader for Bayswater College and LSI Cambridge.

I obtained a CELTA qualification from IH London.

Tutoring Approach:
My main aim as a tutor is to ensure students leave my lessons with greater knowledge and understanding of the subject. I believe this is best achieved through enquiry-based learning: I always encourage students to ask questions, because doing so helps stimulate critical thinking and allows them to take an active role in their learning. We can start from the basics and gradually work our way through the subject using a series of custom-made study notes, intensive revision sessions and back-and-forth conversations!

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Personal Description:
I am a current A-Level student, studying Chemistry, Biology, Maths, and Business at sixth form. I want to help students achieve their academic goals, and I believe I can work well with students at a variety of levels. I believe I am friendly and approachable and I want to motivate and empower students to help them become the best that they can be.

Teaching Experience:
I currently work as a teaching assistant at a primary school, and I have taught and worked with children up to the age of 15, having experience in teaching at GCSE level and below. I have mentored younger students at my school for several years, and have also worked with family friends and relatives. This has mainly been in English, Maths and Sciences.

Tutoring Approach:
My approach is tailored to each individual student depending on their particular strengths and weaknesses. I set clear and simple tasks with steady progression and try to always make it fun and interesting, as I believe learning can be a process of enjoyment and a source of satisfaction. I find out what they struggle with, and help them iron out any issues they have in the subject. I ensure I cater and adapt towards their needs specifically, as I believe it is important that they are gaining a full personalised experience from tutoring.

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Personal Description:
I am a physics and maths teacher with 18 years teaching experience. I am passionate about helping pupils understand this fascinating subject so that they can reach their potential

Teaching Experience:
I have taught physics up and and including A level for 20 years. I have also taught maths up to GCSE for many years. I am a previous head of science & assistant headteacher. Previously, I am an examiner for OCR Physics at A level and WJEC for Science at GCSE and currently deliver the WJEC specification to students in Wales. I tutor pupils from all examination boards across the UK.

Please message me for any information on Maths or Science.

Tutoring Approach:
My approach to tutoring is to ensure students understand the areas of learning they are struggling with and build on that to ensure confidence in all areas of the course. I challenge pupils on what they already know to ensure it is correctly reinforced and their confidence grows. I tutor using reciprocal learning, where students are able to independently learn a topic and then have a tutorial style lesson where they reinforce that learning. Tutoring styles are always adapted to the needs of the learner which is very quickly established.

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Personal Description:
My self Smita. I am post Graduate in Mathematics.
I was teaching in India to year 11and year 12 students. I want to teach here in England.

Teaching Experience:
I have 7-8 years of experience in teaching Mathematics.

Tutoring Approach:
Role play method and many more methods

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Personal Description:
I specialise in teaching A-Level Maths and Further Maths. I teach using clear exposition and by giving many examples. I have a massive database of resources including questions from both past exam papers and questions tailored to the common difficulties experienced by students in each topic. I believe the best way to learn A-Level Maths is by practice and experience of as many questions and problem types as possible. Having a tutor who is able to guide you through these problems and select an appropriate follow up task whilst also being able to identify key areas in need of development will give you a great advantage in your final exams.
I am unable to travel, or tutor in my home, so all private tuition will take place on Microsoft Teams. You will need a Microsoft account and can either download the Teams app or use the web app by visiting teams.microsoft.com

Teaching Experience:
I have been teaching Maths and Further Maths in schools and specialist A-level colleges since 1999.
I moved over to full time private online tuition in 2021. Prior to that I was the head of the Mathematics department in a private sixth form college for many years, taught intensive revision courses every Easter and gave classes to Oxbridge candidates who sat the various Oxbridge Maths entrance exams, I also coached for Maths competitions such as the British Mathematics Olympiad.
Now, as a private Tutor I continue to do all of the above privately and online.
During my time as a Head of Department I was continually exposed to discussion with exam boards about syllabus details and marking trends, this put me in a great position to advise students (and my staff) as to the best ways to go about tackling problems and the most effective way of presenting solutions to ensure maximum marks are gained.

Tutoring Approach:
I use Microsoft Teams for online teaching, which has some great features, such as file sharing, a chat system and automatic - outside classroom - access to any board work that is done during a lesson, which is great for students to review the lesson and to consolidate the parts of the lesson afterwards.
I have been teaching online lessons since 2019, both one to one individual tuition and larger groups, although I like to keep the group size to four or fewer. It is a highly convenient and safe way to teach for student and tutor alike and with the development of technology in recent years it has become my favourite way of giving private tuition.

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Personal Description:
With numerous years of experience in mathematics, I am passionate about helping students build confidence and achieve success in their mathematical journey. I specialize in primary mathematics education and cater my tutoring style to meet the individual needs of each student. My approach focuses on breaking down complex concepts into manageable steps, ensuring a solid understanding of foundational principles before advancing to more difficult material.

I believe that learning math can be both fun and rewarding when the right techniques and mindset are in place. I work with students of all levels, and take pride in creating an engaging and supportive environment where students feel comfortable asking questions and exploring new ideas.

Let me help you unlock your full potential in math!

Teaching Experience:
With a strong foundation in mathematics and extensive experience as a Chartered Quantity Surveyor, I bring a unique skill set that bridges analytical problem-solving and practical application to mathematics. My background in complex measurements, cost estimations, and project planning with precision and accuracy allows me to guide students through mathematical issues. As a Chartered Quantity Surveyor, I have a unique understanding of practical and theoretical mathematical proficiency and have experience in mentoring students through all stages of development, however I specialise in primary school mathematics.

Tutoring Approach:
My tutoring approach is centered around creating a personalized, supportive learning environment where students feel empowered to ask questions, make mistakes, and grow at their own pace. I believe in building a strong foundation in the basics before progressing to more complex topics, ensuring that students understand the "why" behind each concept, not just the "how." I tailor my lessons to each student's unique learning style, using a mix of hands-on exercises, real-world examples, and clear explanations to make difficult concepts more approachable. My goal is to foster confidence and a love for learning, helping students not only improve their grades but also develop critical thinking skills that will serve them well beyond the classroom.

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

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

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

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

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

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

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

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Personal Description:
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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