Runcorn Maths Tutors and Runcorn Maths Tuition

Personal Description:
I am a very positive person and have full empathy with students barriers to learning.
I am friendly and approachable and like to aim to raise student self-esteem and attitude to learning, focusing on positive recognition of achievements and constructive reinforcement of learning strategies.

I work just as easily with adults as I do with children.

Teaching Experience:
I have over 30 years of teaching experience teaching from pre schoo level up to GCSE level and adult learning for returning to work.

I also teach children within the care system who have missed a lot of the early building blocks through lack of education as opposed to lack of ability. This also includes overcoming huge barriers to learning !

Tutoring Approach:
I aim to develop an individual learning strategy to accomodate the students learning style and empower them to achieve and gain confidence through a positive learning programme suited to their individual style and needs.

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Personal Description:
I am an independent tutor with a strong scientific background and have lived in England since Aug 1965. Most of my school and college education took place in Dudley (West Midlands) and I studied Biochemistry, at Leeds University (1975-8). I am married and have lived in Cheshire since Dec 1978. We have a son and a daughter; both graduated from Universities in Manchester. Following my voluntary redundancy from AstraZeneca, (Jun 2008), I am now a self-employed Tutor / Consultant. In addition, I am able to speak additional languages (Punjabi; studied up to GCE A-level and Hindi) and prepared to travel up to 5 miles. I have been tutoring Yr 7 - 13 students, in Maths and all Science subjects, since Oct 2008. In addition, I have prepared students from Yr 6, for the 11+ exams; frequently used by private schools, as entrance exams. Testimonials / References (from Students and Parents) are available, on request.

Teaching Experience:
During my long service in the Pharma industry (~30 years), I have run many short courses and workshops. During 2005/6, I mentored a pupil (Year 10/11) at St. Peter's High School, Longsight, organised by the University of Manchester. In the past, I have also been responsible for organising and running the weekly classes at the Sikh Temple (Gurdwara), for teaching youngsters the Sikh way of life & Punjabi culture, in helping to improve their knowledge and integration into the Western Society over a period of ten years.

Tutoring Approach:
I can provide tuition to individual students (or small groups) in the form of friendly, relaxed lessons. Teaching sessions are always customised to meet the specific requirement of the students. Generally, I enjoy teaching and considered to have a caring approach. I use a combination of computer and 'white board' based approach, for creating informal interactive / discussion type sessions, with some form of regular tests and re-cap sessions. Closer to the exams, the lessons are much more focused on using past papers covering a wide range of questions, to enable the students increase their confidence in preparation for the examinations.

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Personal Description:
I have graduated at Cambridge University in 2014, studying Mathematics and achieved 2:1. Since then, I have worked for 6yrs in the investment and finance industry, heavily involved in financial analysis, and am a CFA Charterholder.

I would like to help young people to pass their exams well. I am passionate about teaching, and would like to pass on my knowledge to anyone who seeks it. My aim is to improve the confidence of the pupils, and to make them more interested in the subject they are tutored in.

I have achieved A stars in my A Levels for Further Mathematics, Mathematics, Physics and Chemistry in 2011, and 10 A stars and 2 As in my GCSEs. I have taken my A Levels/GCSEs at Whitgift School, where I achieved a 10% Mathematics scholarship in 11+ entrance exams.

I will be available for tutoring on weekend mornings.

I also offer intensive courses in SATS/GCSE preparation during my available dates.

Text/Call or email me, for details on availability. I check my emails and phone on a daily basis.

Teaching Experience:
I have tutored my sister and cousins in their Mathematics exams, with some success.

I have also helped a few other A-level mathematics tutees through tutoring websites, who have achieved As in their A levels, and a few younger tutees in passing their 11+ entrance exams. I hope to raise my teaching experience through UK tutors.

Tutoring Approach:
I will help pupils through their class/home works via their textbooks, personalised Q&A, and worked examples. I will also offer my own knowledge to help them through rough patches and broaden their knowledge too. I will work the pupils hard, and hope that the pupils put in the effort too!

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Personal Description:
In person or online tutoring (on the Zoom App). 10 Years of full time tutoring experience. A Master of Mathematics graduate from UEA in Norwich (2011). Half my students tend to be preparing for exams, using techniques I've perfected to help guide them through their exam periods. Most students will tend to require confidence boosting and I've had the most satisfaction being able to change opinions/beliefs about the subject, helping to show the student that they're capable of anything they set their mind to.

Since university I have enjoyed tutoring part time and full time and was also contracted for a few years by Honiton Community College to provide individual and group tutoring sessions to underachieving students, during and after school.

Teaching Experience:
I started tutoring GCSE maths part time in Year 13 (S6), providing a very structured tutoring by my school. The students engaged well and it helped to have people of a similar age that the students could relate to, enabling a more relaxed learning atmosphere. I also informally helped peers of various levels whilst at university, maths students but also engineering and foundation levels. When my services were required in a particular area, then they asked for help on short notice.

I've been tutoring full time over the past 10 years, working 7 days a week from the new academic year onward. Peak hours ranged in excess of 40hrs. I've therefore assessed the likely weaknesses of a student and have already provided and perfected the best methods of explanation.

Tutoring Approach:
Casual tutoring of areas of difficulty, or can do more structured learning of a curriculum, either intense learning (several school years of maths into months) or weekly troubleshooting. I've established good quality material for any level. Plenty of students just require good material and direction for their efforts, with positive reinforcement to really shine. Many long term students will tend to then appreciate and enjoy study, visibly moving towards their goals.

The first meeting will be free with the aim of getting to know one another, and establishing the strengths and weaknesses of the tutee, and at the pace the student requires. At which point a structured plan of action can be drawn up. In some cases the tutee may lack the confidence in certain areas, but can in fact do what's required. Even a casual troubleshooting session every now and then can set their worries at rest.

Should extracurricular material be required or wanted then I'll be happy to provide. This material might not be hard for the tutee, but will help link in various areas of mathematics and will require a little thought about the patterns seen. It's never compulsory, but with a little encouragement a little extra goes a long way.

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Personal Description:
Hello and thanks for taking the time to browse my profile.
I am available to tutor up to any level of Spanish or Portuguese, as well as up to GCSE level French or Maths.

Teaching Experience:
I`m an experienced classroom teacher available for Spanish, Portuguese, French, or Maths tuition.
I studied BSc Accounting with Spanish before taking my PGCE, and I have experience of tutoring English to Spanish schoolchildren as a language assistant, and also of tutoring English to individuals privately in their own homes.
I am now a full time teacher of Spanish, French and Portuguese in one of the top boarding schools in England, having previously worked in an "outstanding" secondary school, where I tutored children (one-to-one) in Maths after school, after having completed a short course in one-to-one tutoring provided by Hertfordshire LEA.
I have also completed an MEd in Educational Psychology, as well as the CCRS qualification.

Tutoring Approach:
I am able to tailor my lessons to suit the individual needs of each student, whether it be focussed on Speaking, Listening, Reading or Writing (for the languages), or any specific topic for Maths.
I hope to talk to you soon.

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Personal Description:
Hello. I am an ex research scientist for the Atomic Energy Authority. Have a masters degree in Radiation Chemistry and have research published in the Journal of Radiochemistry. I am a fully qualified teacher and experienced tutor.

Teaching Experience:
I have several years experience of teaching and tutoring A level Chemistry. I can provide excellent testimonials and references from students and parents.

Tutoring Approach:
I believe in developing a thorough understanding of the subject to aid revision and sufficient exam preparation and practice.

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Personal Description:
I am a very enthusiastic, focused, self-motivated, highly-disciplined, target-driven, adaptable, mobile and ambitious graduate of Microbiology and Biomedicine genuinely pursuing an outstanding, very challenging and motivational career as a Teacher, using my skills and knowledge to improve the quality of education of other people.
I am passionate about teaching and want to inspire and enhance the level of achievement of my tutees.

My strong desire is to see my tutees achieve their desired grades and conquer their fears, becoming what they aspire to be.

Teaching Experience:
I am experienced in SEN from EYFS to KS1/KS2, and also in teaching Science to KS3 to KS5. I am also well experienced in mentoring groups as well as providing one-to-one-support.

My tutoring skills have no bounds as I have also been afforded the opportunity to lecture in Microbiology and Biology.
With an ever-growing drive for excellence, I am on a perpetual route to keep up with the ever-dynamic teaching skills through CPDs and trainings in behaviour-management to all that is required to teach per excellence.

Tutoring Approach:
My belief is that everyone understands at different levels.Based on this, I personalize my teaching approach to suit the specific needs of my students. I believe that there are visual learners, kinesthetic learners and auditory learners. Therefore I have different interactive resources that can be used depending on the type of learner I am working with.

I am of the belief that if you aim higher, you can achieve anything you believe in your heart that you can do.

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Personal Description:
I find Maths exciting and want to impart my knowledge on the subject to the learners in a way so as to make it interesting. I have worked in a customer facing environment for nearly 20 years and use my problem-solving and interpersonal skills to make Maths fun for the students. In my current role as an Employability Adviser in a Further Education college, I work with the 14-19 year-old students to improve upon their employability skills, including numeracy and literacy.

Teaching Experience:
I am into teaching over the past three years and over this period I am working directly with the 14-19 year-old students to make them employable by improving their skills, including in numeracy and literacy. I try to make the subject of study relevant and contextualise it with the real life situation.

Tutoring Approach:
An important feature of my teaching is the ability to change the style of teaching according to the needs and ability of the students.
I provide practical examples to explain concepts in Maths.
I help my students towards obtaining knowledge beside imparting them with the practical tips of problem solving.
I am patient and a strong believer of the fact that building a sense of trust and respect help students overcome the fear of knowing the unknown.

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

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

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

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

Tutoring Approach:
Hello

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

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

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Personal Description:
I was brought up in Cardiff and my claim to fame is attending the same school as Gareth Bale and Sam Warburton. I'm a Christian, married to Jifelane - the most wonderful woman in the world. She's from Mindanao in the Philippines and we met online! I'm a proud dad to two beautiful children, Isaac and Hannah. I'm much travelled, play guitar, write songs and enjoy carp fishing especially on a warm Spring or Summer day. I am also an author! I published my first book 'Moondust' in 2015 and have recently self published another two, available in the Blurb Bookstore.
As a person I am patient, reflective and believe strongly in integrity. I am compassionate and enjoy seeing the funny side of life - I attempt to bring these qualities to my work. I am a dedicated, adaptable and friendly practitioner who loves to bring out the best in children and others. I became a teacher because I wanted to make a difference. I saw that children were the hope for today and for the future and that schools were vital training grounds for life. Now as an experienced practitioner, I still have an infectious enthusiasm and passion to see children learn and reach their full potential.

Teaching Experience:
My professional experience is rooted in the breadth and depth of a teaching adventure which spans over twenty five years. Teaching mostly across Key Stage 2 (but also including KS1), it is entwined with close collaboration with colleagues from Reception through to Y6. I am keenly aware of the learning journey through the Primary School. Most of my teaching career has been in England and I have taught in a diverse range of schools. I am familiar with and use a range of teaching and learning strategies and believe that getting to know the child, coupled with quality assessment is the best way to help move them forward.
In recent years, I have been an integral part of two highly successful schools. My last school received an exceptional report from the most recent ISI inspection at the end of 2014. I quote:
'Staff are highly successful in shaping the educational programmes around the children's' interests and needs, providing a range of highly stimulating learning opportunities across all subjects through a creative curriculum that frequently takes learning outside.'

Tutoring Approach:
I endeavour to use a range of communication strategies which include listening, observing, questioning, explaining, modelling, storytelling and coaching. I have high expectations of myself as a tutor and high hopes and expectations of the learners in my care. I believe that effective teaching and learning comes from a being a reflective and critical practitioner, so whilst I will use tried and tested approaches initially, I will then adapt to suit the learning needs of the tutee. Assessment for learning methods such as strategic questioning, using success criteria and regular quality feedback are embedded into my teaching and learning ethos. As much as possible, I endeavour to make learning fun, stimulating and child centred, sensitive to individual needs. Developing close but respectful relationships with the students lays the foundation for being secure enough to take risks and improve their learning.

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Personal Description:
Qualified teacher. A-level biology specialist. 20 years experience. A-level examiner for AQA.

Biology Chemistry and Physics up to GCSE

Mathematics to Key-stage 3.

Online lessons via all the popular platforms including Teams, Zoom and Skype including virtual whiteboard technology. Extensive online resources are available to all tutees.

Teaching Experience:
20 years Qualified Secondary Science teacher, KS3, GCSE and A-level.

Having also taught at university I am able to assist life-science undergraduates with dissertations or projects.

Experienced teacher of Key Stage 3 mathematics

20 years experience as a one-to-one tutor including online work.

A-level Biology examiner for AQA.

Extensive experience as the college co-ordinator for both medicine and biology HE+ programmes and well as vast experience preparing students for interview for competitive courses such as medicine and dentistry at Russell Group Universities.

Tutoring Approach:
I am results-focused and will approach session with the goal of achieving the best possible exam result in mind.

Concentrating on exam technique, application and other common areas of weakness in order to maximise grades.

Online sessions are available via all the popular portals including Microsoft Teams, Zoom and Skype.

Discount rates for pairs or small groups negotiable.

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Personal Description:
An Inspiring and Dedicated MATHS, BIOLOGY CHEMISTRY TUTOR
I am a medic with a UCL BSc(Hons) in Biomedical Sciences. l I have extensive experience of teaching Maths, Biology and Chemistry at A-level and GCSE level. Additionally, I teach and prepare students for 11+ and SATs. I take pride in providing high quality of teaching which is systematic and student-centred- so that my student achieve their full potential. I believe that teaching should be engaging and inspire students. I would describe myself as a friendly and approachable individual with good communication skills. I am responsive to the needs of my students beside being a good listener which are key for making significant progress. I know the critical role that instilling confidence play in students success. Please feel free to get in touch!

Teaching Experience:
l I have extensive experience of teaching Maths, Biology and Chemistry at A-level and GCSE level. My students have done exceptionally in their exams beside strengthening their self confidence.

Tutoring Approach:
I take pride in providing high quality of teaching which is systematic and student-centred- so that my student achieve their full potential.

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Personal Description:
I am 43 years old and live at home with my partner and our two boys, both aged 6 and 8.

Teaching Experience:
I have nine years teaching experience in good and outstanding secondary schools. I have taught key stage 3, GCSE/IGCSE, A Level and IB maths and further maths. I have experience of the AQA, Edexcel and CIE specifications.

Tutoring Approach:
I have a calm approach to tutoring. I try to make students feel comfortable. I use a lot of praise and encouragement and really try to improve their confidence.

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Personal Description:
Hi! I'm currently studying Economics at The University of Portsmouth. I'm a competitive table tennis player and love to play football whenever I can. My true passion, however, is tutoring as I feel it is my life's purpose to assist others in helping them to achieve their goals.

Teaching Experience:
-I first tutored at my secondary school's KS3 Maths programme called Route 121, where I first became inspired to become the best tutor possible.

-Due to my performance as a tutor, the school later paid me to teach maths to underachieving students at GCSE.

-The next year, I was appointed as 'Head of Mathematics' at Route 121, where I had the responsibility of training around 40 Maths tutors from the year below, creating suitable maths materials for them to use, and overseeing the sessions to help with any issues they had.

-At the end of the year, I was invited to the school's annual prize giving, where I was presented with the prestigious Neil Harts prize for 'Outstanding student support work' as Head of mathematics, in front a crowd which included the guest of honour: The Baroness Thornhill MBE, who presented me with the award.

-I have now tutored multiple students through several online platforms over the last academic year, all of whom have left a positive review.

Tutoring Approach:
Every time I tutor, I make it my aim to be as approachable as possible. I always try to explain everything clearly and stress the importance of asking questions about the subject no matter how unrelated they may seem at the time. I also make it my priority to use our time efficiently so that the maximum amount of knowledge can be taken away from the session.

I have access to premium Maths resources and also personally hand-write learning materials to provide the highest quality service possible. I also encourage those I tutor to message me throughout the week if they have a burning maths question they need help with, to which I will happily respond when I'm next available, whether this is by phone call, video call, or simply a message to answer a short question (all free of charge).

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Personal Description:
My name is Jamie. I'm a maths graduate from the University of Bath (MMath). I was a Maths Teacher and Key Stage 5 Coordinator at a well-known and very successful secondary school and sixth form in Bath.

I have been a Maths tutor on and off since I was in sixth form and have over 10 years' experience across a variety of ages and abilities (as well as 5 years' experience as a teacher). I'm fortunate that I discovered my passion for teaching and tutoring at a relatively young age, and I have already been able to guide many students at primary, secondary and sixth form level towards their goals.

I have now chosen to become a tutor full-time. It is incredibly rewarding to continue sharing my knowledge and insights with any students who wish to learn. If I can pass on just a little bit of my infectious enthusiasm for the subject at the same time, then all the better!

I would like to keep my tutoring experience as varied and fulfilling as I possibly can, and so I welcome tutees of all levels from any background. Whether you are preparing for secondary school, GCSEs or A-levels, or simply aiming to improve your general numeracy skills, it would be a privilege to give you the support that you need to make progress.

Teaching Experience:
In total, I have over 10 years of experience tutoring. This would have started when I was in sixth form studying for my A-levels, then continuing on and off through my time at University and during my career as a teacher. During this time, I have tutored students at primary, secondary, sixth form, and university level, some being short term in the lead up to exams and others being long term.

I also have 5 years' experience as a teacher, and in my last year I was appointed Key Stage 5 Maths Coordinator for my school, giving me responsibility for all of our A-level students. During my teaching career, I was lucky enough to teach groups of all levels - from lower Year 7 right the way up to Year 13 Further Maths A-level.

My experience, both tutoring and teaching, has been invaluable in helping shape the tutor I strive to be going forwards.

Tutoring Approach:
I believe a simple approach to tutoring is the best one. I aim to work closely with my tutees to identify their goals, and create a plan of action to follow to give them the very best chance of success. My experience will enable me to deliver high-quality lessons with unique insights, and these can be supplemented with homework and independent tasks to consolidate knowledge and cement understanding.

Regular communication between tutee and tutor is key, and maintaining this with my tutees throughout their journey with me is one of my highest priorities. This way, we can celebrate successes and milestones towards our goal, but also intervene in good time if any part of our action plan needs adjusting. In the same way, I would always encourage tutees to approach me to share their thoughts on how things are going, so that I can continue with what's working and revise things which can be improved.

Looking forward to hearing from you.

Jamie

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Personal Description:
University of Cambridge Undergraduate. I achieved 9 A*`s at GCSE and A*A*A*A in my A-Levels.

As someone who has recently experienced what it is like doing the new style of GCSE`s and A-Levels, I understand and recognise what works best in order for students to excel beyond what they think might be their limits. Having achieved 9 A*`s at GCSE(6 "9`s" for GCSE and 3 "A*`s for IGCSE) and A*A*A*A at A-Level recently, I understand what approach works best in order for a student to excel and what the exam boards are looking for so that the pupil can achieve the best grades. I am able to teach a wide variety of exam boards.

My students feel that it is very easy to connect with how I teach and are not afraid to ask questions or approach my teaching in a fun and informal manner. I provide my students with resources that I myself used to achieve my grades, which allows them to truly know whether they have grasped a topic.

I am passionate about developing personalised learning experiences and effective tutoring techniques to increase academic achievement and encourage a love of learning.

Teaching Experience:
With over 3 years of extensive tutoring experience - having clocked in hundreds upon hundreds of hours - I have relished helping pupils sky-rocket their grades. During my time tutoring I have helped students of all ages - helping them with their 11+, GCSE's, A-Level's and University Admissions. Every single one of my students have achieved their desired grades that, in turn, have helped them get admission into their dream secondary school, dream sixth form, or dream university (with many students getting into Oxbridge and other Russell Group Universities). A significant percentage of those I tutor come to me for help in Economics, Maths, Politics and help in their University Applications (from help with their personal statements to Oxbridge support for their desired course).

Tutoring Approach:
In my tutoring sessions, I prioritise engaging and straightforward lessons that are academically stimulating without being overly complex. I foster an environment where students feel comfortable asking questions at any point, thereby maintaining a focused and confident learning space. Through active recall and spaced repetition techniques, I help students retain knowledge efficiently, while constantly assessing their understanding using a variety of resources including past papers and a personalised question bank.

I craft personalised learning plans, tailored to each student's abilities and the requirements of any exam board, filling knowledge gaps and building on existing understanding. Moreover, I keep parents informed about their child's progress and areas for development, fostering a collaborative approach to achieving academic success. My goal is to not only help students achieve their academic potential but to enjoy the learning process along the way.

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Personal Description:
Education: University of Bath studying BEng Chemical Engineering
Bilingual: English and French
Hobbies: Dance and art

Teaching Experience:
My previous tutoring experiences and studies have allowed me to develop necessary skills:

Academic Expertise
As a Chemical Engineering student, I have a strong academic foundation in Chemistry, Maths and Psychology, supported by my high A-level grades. I am able to apply advanced concepts to different exam boards and questions making me well-equipped to tutor GCSE and A-level students.

Teaching and communication
Through my experiences in Maths and French, I am able to explain complex concepts clearly and adapt to different learning styles and age ranges. My bilingual fluency in English and French enhances my ability to connect with students who require language support or have additional needs.

Personal skills
I include patience, empathy and strong problem-solving. I understand the challenges faced by students and use my background in tutoring to tailor lessons to individual needs. I have strong organization and time management skills, demonstrated by my ability to keep up with a part time job and study.

Exam success and support
I am able to create personalized learning plans tat focus on exam preparation, such as mastering marking schemes, practicing past papers and managing time effectively. I can motivate and guide learners, based off recent experience, with practical tips and strategies to help them excel.

Tutoring Approach:
I provide online tutoring using zoom or google meet.

Personalized Plans
I provide a tailored plan based on the student's individual strengths, weaknesses and goals. During initial sessions, I assess needs and adapt lesson content accordingly to ensure a focused approach and target areas for improvement.

Interactive and Engaging sessions
I provide interactive sessions to keep student engaged. I prioritize active learning by encouraging students to solve problems, ask questions and discuss topics they need help on.

Exam-focused strategies
I emphasize exam success by covering past papers, marking schemes and practicing time management. I help students to build confidence and tackle exams effectively through structured preparation and progress checks.

Supportive and Flexible environment
I create a welcoming and patient atmosphere, encouraging students to ask questions and learn at their own pace.

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

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

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

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

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