Holywood Physics Tutors and Holywood Physics Tuition

Personal Description:
I am an Open University graduate with a 2.1 Honours degree in Computing, Science, and Mathematics. I have taught Computer Aided Design and Engineering Mathematics at my local college. I take great pride in my work and offer friendly, relaxed and professional tuition on a one to one basis in my own home or the tutee's home residence. I thoroughly enjoy all aspects of my teaching and I utilise innovative and effective teaching methods in an effort to make the learning process a thoroughly satisfying and rewarding experience. I also adopt a caring, friendly approach and always put my pupil's needs first, at all times.

Teaching Experience:
I have been teaching for over 10 years now, both in local colleges and in pupil's private residences. I have experience of teaching pupils of all ages as well as pupils with SEN including dyslexia and dyspraxia. I thoroughly enjoy all aspects of my work and I believe this is clearly exhibited in my tutoring sessions. I have extensive experience of teaching 8-19-year-olds as well as teaching the older generation. I currently teach Computer Aided Design and Engineering Mathematics at Wakefield College as well as private maths and science tuition up to and including A-level standard.

Tutoring Approach:
During my tutoring sessions, I make every effort to ensure the learning experience is both an enjoyable and interesting one. I use a variety of learning resources and tutoring methods to introduce a varied and innovative approach to the session. I always engage with the pupil and listen carefully to every one of their responses. I take the pupil through a carefully formulated learning program which is compiled from a detailed assessment of their tuition requirements; this is always discussed with the parent/guardian before the program commences, to ensure that they are happy with the arrangements. I am a very friendly and relaxed individual and I like to convey these feelings during my tutoring sessions and always try to make the pupil feel comfortable with the whole learning process and ensure I work at their pace at all times.

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Personal Description:
I am an academically qualified tutor, having over fifteen years of experience in tutoring Maths and Physics for GCSE and A-Levels. My tutoring methods have helped many tutees to secure higher grades at their examinations.

I am offering lessons for the boards such as AQA, OCR and EDEXCEL (Pearson) and currently accepting new tutees for online and face-to -face lessons.

Teaching Experience:
Over 15 years of experience in tutoring and currently offering lessons for :
Maths : 11( GCSE), AS & A2 Levels
Physics : AS & A2 Levels

Tutoring Approach:
Both Face-to-Face and Online Lessons are tailored to suit every tutee to not only offer extra support to learn the nitty-gritty of the subjects at the same time to learn exam techniques but also to boost the confidence level.

Online lessons are for the tutees who wants to embrace the contemporary learning style with flexible time management without compromising the quality of learning. I conduct lessons via video conferencing (Teams, Skype etc.), utilising virtual white board for better tutor-tutee interaction.

For availability and to exchange further information, please contact me.

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Personal Description:
I am British, Married with two children (Grown up) both are employed after their Master Degrees.

I was graduated from Newcastle University followed by various professional qualifications A Chartered Engineer with Fellowship. I served in the British Merchant Navy for many years. While I was working in West Africa I engaged in teaching voluntarily (in my free time) English Maths and Science, to children of all ages. This made me interested in teaching. Soon I realised that this was what I wish to do after ending my career overseas. In 1998 I ended my career overseas and decided go in to teaching. In 1999 I took up teaching as a full time private tutor which I continue up to date.
I am a registered Tutor of Fleet Tutors, which is one of the most reputed private teaching agencies in the Country and I was elected as the best Tutor of the Year. I am also a registered Tutor of Abacus Tutors In Berkshire and UK Tutors.

Teaching Experience:
Full time Private Tutor (mainly one to one but occasionally group) from 1999 up to date. I set very high standards and my students have always been achieving very high grades (A and A*) in all the subjects been taught

Tutoring Approach:
Initial assessment followed by structured and tailor made teaching programme to suit and meet individual needs. All lessons are kept in line with what is taught in the school and in line with the National Curriculum. Progress of the pupil is repeatedly tested by regular home work and monthly mini tests. Parents are kept well informed through out the course of studies.
Substantial amount of revision and past paper questions are done prior to the examinations. No of mock tests are carried out to ensure that the pupil is fully prepared to achieve highest grades in the Exam. Nearly all my pupils over the years have continued with me until they entered the University of 1st choice. I have quite often prepared the students successfully for entrance exams for top schools such as Eton, Harrow, Cheltenham, Wickham Abbey Wellington, Kendrick etc ......
Short Profile
Masters Degree in Engineering from Newcastle University, is an experienced (over 15 years) full time Tutor who specialises in tutoring
Maths English and Science in KS2 Level,
11+ in Maths, English and Science.
13+ tuition in Maths and two sciences Physics and Chemistry
Maths, Physics and Chemistry at KS3 and GCSE level,
Maths at AS and A2 levels, Physics at AS and A2 levels and Further Maths in AS and A" levels.
University 1st Year Maths
I also possess experience with teaching and tutoring dyslexic students and has had some experience with autistic students

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Personal Description:
I have a degree in Physics from the University of Nottingham and have taught Science in schools for over 8 years. I have a wide variety of teaching experience, from teaching English as a foreign language to a small group of 6 year olds, to teaching A level Physics in college. I love teaching and especially enjoy seeing students progress, become more confident and gain a real interest and love of the subject.

Teaching Experience:
I have now been tutoring for over 3 years, helping many students to gain the grades they require in their GCSE and A level exams for Science and Maths.

Previously, I spent 7 years living in Thailand where I taught both England (as a foreign language) and Science in an International Program at one of the top government schools. I also taught English, Maths and Science as a tutor, both on a one-to-one basis and to small groups.

I gained a PGCE in Secondary Science from Manchester Metropolitan University in 2009 and worked as a supply teacher in a number of secondary schools in the Cheshire area before becoming a full time tutor.

Tutoring Approach:
I like to encourage a love of the subject and take great joy in seeing students progress and become successful. I try to be friendly and supportive whilst also striving for excellent results. I try to make sessions interesting and informative by personalising the work to centre around the interests and needs of the individual student and by making use of ICT resources.

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Personal Description:
I am a bilingual (native Russian) educator with extensive experience teaching Science, Maths, and Russian across various levels, from nursery to adult education. Currently, I teach Chemistry, Physics, Biology, and advanced Maths at a small independent school in Bedfordshire.

I specialize in Maths and Science and have a particular interest in working with students with special needs and autism. I offer intensive GCSE exam preparation, with proven results such as helping a student improve their grade from 5 to 7 in just two months through focused sessions.

I hold multiple teaching qualifications, including an MA in Education (Special Educational Needs and Disabilities), which I obtained in 2022. I have also worked as an examiner for AQA in GCSE Chemistry and have experience supporting students with challenging behaviours and special educational needs.

My approach incorporates sensory stimuli to enhance engagement and reduce transitional times, based on my dissertation research into educational motivation for teenagers with challenging behaviours. I am passionate about leveraging students' natural interests to drive positive changes in behaviour and academic attitudes.

Teaching Experience:
I have extensive experience teaching Maths, Science, and Russian, both face-to-face and online. I employ various student engagement strategies to ensure a productive and enjoyable learning experience.

I began teaching Science in 1989 in Siberia. Since then, I have taught students of various ages and, after moving to the UK, expanded my teaching to include Russian. I also founded and ran a Russian language school for over 11 years, where I developed and tailored curricula to meet individual needs. The teachers I trained in my school are now making an impact in schools across the UK.

Maths: I teach Maths at various levels, from primary to GCSE. My approach focuses on building a solid understanding and confidence in the subject.

Science: I have been teaching Science since 1989 in different countries. In my most recent role at a private behavioural school, 90% of students initially expressed a dislike for Science, but 60% ended up eagerly attending my classes.

Russian: I teach Russian to a wide range of age groups, from 3-year-olds to 76-year-olds. I use diverse techniques tailored to each student's age, learning style, and schooling level to boost their confidence and maximize their potential.

SEND: I have a strong interest in teaching students with Special Educational Needs and Disabilities (SEND), sensory issues, and challenging behaviours. I aim to equip all my students with the skills needed for employability and adaptation to the working environment.

Tutoring Approach:
My goal as a tutor is to cultivate a deep understanding and confidence in each student. I adapt my teaching methods to meet their individual needs, learning styles, and abilities. I aim to inspire independent thinking by incorporating real-world examples whenever possible. I typically start with familiar topics to build confidence and gradually progress to more challenging material. Additionally, I use questions and homework to continually assess and reinforce understanding.

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Personal Description:
Hello! My name is Gemma and I am a 32 year old doctor, chartered accountant, strategy consultant and successful start up founder. I graduated in medicine from Nottingham University in 2016, switched to finance, became a qualified chartered accountant, and now work for one of the 'Big4' in health advisory and strategic consulting. However, my heart will always lie with the sciences, and somehow in amongst all of my wide ranging career, my favourite job has always been teaching.

I have been tutoring maths and science (chemistry, biology, physics) to GCSE level for several years, and more recently maths and biology to A level standard. I have experience with ages 6-18 (and a few adults as well!), as well as with children with autism and ADHD.

I tutor because I love it, and watching people's confidence grow as they start to reach their full potential is so rewarding.

I have A Levels in Maths, Further Maths, Chemistry, Biology and French, and Geography AS Level, all at grade A*/A. 12A*s at GCSE, including all the sciences. I have a BMedSci (Medical Sciences degree) and a BMBS (full medical qualification) from Nottingham University. Also an ICAEW Chartered Accountant (ACA) because I have a penchant for collecting letters after my name, and then changing careers... My parents are joking I should go into law next, but I think that's enough exams for a while!

I charge £50 an hour.

Full CRB/DBS check.

Do get in contact if you think I can help or if you have any questions!

Teaching Experience:
Tutoring experience for over 10 years with a 100% pass rate. Have taught ages from 6-18 (plus adults for piano and maths). I have had pupils for chemistry, biology, physics, maths, or a combination of them. (Generally we start with one... and then I end up helping with everything!)

Founder and co-ordinator of university peer mentor and support scheme. First aid and life support trained. Full CRB/DBS checks.

Tutoring Approach:
Informal, friendly and flexible approach (usually with tea and cake!). My aim is to improve results and get pupils interested in the subject by adapting the teaching style to a way that works for them. There is always another way to explain something! I tailor each session to the individual student's needs, whilst remaining exam focussed with a big emphasis on understanding, rather than rote learning. No question is a stupid question: I very much remember the feeling of sitting in the back of a classroom not understanding a thing, and I wish I had had someone to field my "stupid" questions! I am big believer that if pupils don't understand something, it's on me to keep trying, until we find a way to make it make sense. The thing I've loved most is seeing pupils transform from "hating" subjects they found difficult to being really chuffed with their results in class (and even going on to choose it as a higher study option) because they now understand it and seeing their joy is the reason I continue to teach!

I have really enjoyed establishing great relationships with pupils in the past, many of whom I am still in contact with now, whether it's to call and ask me questions over the phone or simply to let me know how they're getting on. I've also provided pupils with references, interview practice (especially medical interviews) and personal statement help. I work with the pupil to whatever they need - I have been known to tutor until the small hours the night before a GCSE maths exam, review homework over whatsapp and answer phone calls after bedtime! More than anything, I love helping pupils find their ceiling and reach their potential, whatever that might be. I am here to help - no matter what that looks like.

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Personal Description:
Hi I'm Meghavi and I am a BSc Physics graduate from Imperial College London and I have a QTS (Qualified Teaching Status) at grade 1 - Outstanding. Currently, I work as a Consultant in the Digital Transformation space. I have always been interested in teaching, from my GCSE years, I began helping my friends with their school work. Moving to A level years I started helping out some of the teachers in my school to run after school sessions to help kids with their Homework. I would say I am very patient and will sit there till the concept is clear in their minds. I am not the kind of person who gives up easily so I will do what it takes to make sure an idea or concept is understood. As a person I am very friendly and bubbly. I like to have a good laugh and I'm a good listener.

As far as personal interests go; I love to travel, I love music, movies and Food. I enjoy cooking. I like trying out new things and exploring new places and meeting new people.

Teaching Experience:
My interest in teaching began when I started helping my sister with her school work. I started teaching in 2009. I worked at Kumon (one of UK's largest supplementary education provider) for a year. I then started tutoring AS Students for AS Physics at Lampton School which involved spending my free lessons and after school sessions to help them with any conceptual problems, homework, exam practice or just a recap of any topic in AS Physics. These students felt comfortable coming up to me at any time during or after school to ask any queries they had about the subject. (References Available)

I have helped out in Maths classes and planned my own lessons under the supervision of my teacher. I have also worked as a learning mentor at Lampton School and helped students with any homework or classwork in various subjects.

More recently (2013 - 2014) I have been a tutor for various students; teaching A Level Physics, A Level Maths and Further Maths, GCSE Maths, Primary Maths and GCSE Science (Biology Chemistry and Physics all inc).

Tutoring Approach:
Clearly each student is different, and so the way of teaching each one will be different. However I believe that if the foundation is strong nothing can go wrong. I will first try to ensure that the concept and the base of the subject is strong before we go on to a number of past paper questions and exercises. I believe that the best way to learn is to see how any problem can be tackled, go through the thought process and then apply what you know to the specific problem and solve it.

I will first see what the student finds most difficult and what their weaknesses are and then strive to overcome them. Each student will have their own learning methods, some may learn by understanding the whole concept then going into the exam questions, some want to go through exam questions while they are learning the concept to see how the theory can be applied to the problems. Some may learn visually with experiments or examples whereas others will learn through trial and improvement of their own. I will spend the first session finding out how they like to learn and design a program just right for that individual student.

From previous experiences I believe the key areas students need help in are:
- learning the foundation of the subject
- how to manage time in exams
- how to structure their answers in an exam
- lots and lots of practice
Hopefully once we start tutoring, the students will feel much more confident with the subject and the key to success for any exam is self confidence. I will always be their as a guide, a mentor, a friend to help them through what they find difficult.

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Personal Description:
Hi. My name is Saif and I presently work as the Assistant Head of Science responsible for Chemistry at a school in London. I teach sciences at KS3, KS4 and deliver the 'A' Level Chemistry curriculum at KS5. I read Medicinal Chemistry at University College London and completed a PGCE in Science upon graduation. I studied Chemistry, Biology, Physics and Mathematics at 'A' Level and achieved very strong grades in all four subjects.

Teaching Experience:
I presently work as the Assistant Head of Science responsible for Chemistry at a school in London. I teach sciences at KS3, KS4 and deliver the 'A' Level Chemistry curriculum at KS5. I am now in my fourth year of teaching in a secondary school, having received successful school lesson and OFSTED observations. This has allowed me to progress rapidly and reach the position in which I am now. Whilst at University, I was regularly involved in helping young people with their studies through charities and other voluntary companies.

Tutoring Approach:
As a practising teacher, I am aware that all pupils will have their individual needs. That is why my approach will always vary depending on the needs of the pupil. However, generically speaking, we will need to work together to identify areas of weakness and then address those specific issues in order for progress to be made.

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Personal Description:
I am a passionate science teacher, married with two children and currently live in Fareham. I enjoy watching football and enjoy helping with youth work or organizing events in the community. It was tutoring my cousins that developed my passion and drive into teaching. I am now willing to help others to improve their grades and have a better chance of improved result.

Teaching Experience:
I have ten years teaching experience in different secondary schools in Hampshire. I have been responsible for teaching KS3 science, KS4 AQA separate (triple) and combined science. I am an examiner, mentor and tutor.

Tutoring Approach:
My approach to teaching involves undertaking a NEEDS and SWOT assessment of the situation and the best way to get maximum result. It is also important to know if the pupil is a visual, audio or kinaesthetic learner and use their preferred style to tailor the tuition.

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Personal Description:
Highly experienced Tutor.
Excellent track record.
Consistent outstanding results achieved.
Many very satisfied clients !

More than a decade has been spent as a professional full time Tutor.

In that time I have helped many students gain places at the most sought after Grammar Schools and Private Schools.

They have all gone on to University to pursue their careers within a wide variety of professions.

I have a tremendous wealth of experience in preparing students for a range of subjects at a variety of levels.

My aim is always to instill confidence and a firm grasp of the subject being taught.

I am renown for my patience and the professionalism I bring to each session.

Please take a look at the Testimonial provided by a very happy parent.

Education is the most precious gift you can give your children !

Teaching Experience:
11+
13+
Common Entrance
English, Mathematics and Sciences up to GCSE and IGCSE
QTS Literacy and Numeracy

11+

I have extensive experience and had tremendous success when working with pupils preparing for the 11+ examinations.
Students have gained much sought after places at Queen Elizabeth Boys' School, Henrietta Barnett, City of London School for Boys, University College School and Habadashers' to name just a few of my successes !
I am extremely adept at teaching the English, Mathematics, Non-Verbal Reasoning and Verbal Reasoning components of the 11+ examinations.

13+ (Common Entrance)

Have very recently taught and coached a student in Biology, Chemistry and Physics.
All ISEB past papers were gone through in tremendous detail.
He gained a much coveted place at St. Paul's.

GCSE

I have very successfully taught at this level and prepared students for English, Mathematics and Science examinations.
I am currently working with a student in preparation for the new GCSE AQA Trilogy Examination in Biology, Chemistry and Physics.

IGCSE

I have had the extraordinary privilege of coaching and teaching a young student through his IGCSEs in most subjects right up to his final examinations in Physics in June.
This has afforded me the opportunity to see the very vast difference in content demand between GCSEs and IGCSEs.

Tutoring Approach:
I take a very relaxed and calm approach to Tutoring.
Being able to put the student at ease really facilitates the learning process.
The topic being learnt is gone through very thoroughly.
Homework is set.
Any work marked previously is gone through carefully with the student.

*** Testimonial ***

Rob tutored my son Tom for 6 months in GCSE Mathematics and Science.

Rob is clearly very committed to his work and pupils, and it was more than apparent that he had taken great care in preparing for each session.

What really shone through was Rob's passion for his work and his desire to ensure that Tom achieved to the best of his ability. He always took considerable time to ensure Tom thoroughly understood each subject even if this meant running over the allotted time.

Rob is extremely professional and reliable and is very easy to get along with. In addition to his academic role, Rob also took time to build a professional friendship with Tom and a keen interest in ensuring that Tom developed his confidence. This greatly benefited his academic achievement but importantly also his belief in himself and his abilities. Tom's progress from this was clear for us to see. This was the real value added that I believe we received from the one to one tuition that Rob provided.

As Tom completed his GCSE exams Rob would always phone the same day to see how he had got on. This was clearly something he did with all his pupils as, although ensuring discretion, Rob would mention how others that he tutored had said the exam had gone.

I would highly recommend Rob as personal tutor and would happily be contacted to confirm this view.

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Personal Description:
I have a BSc and an MSc in science and a PhD in engineering and have a theoretical and practical knowledge of maths and science. As well as that I have a lot of experience in industry and working around the world. I follow my family tradition in tutoring maths and science in my spare time, helping students, in particular those needing extra help and confidence in their studies. My husband and I have two children aged 17 and 13, we have a cat named Peter and have lived near Hereford for over 12 years. I volunteer at Marden Primary Academy as a classroom assistant and thoroughly enjoy helping out.

Teaching Experience:
I have been tutoring maths, physics, biology, piano and theory of music for 2.5 years and have done home-schooling.

Tutoring Approach:
A patient approach, finding where a student is and then leading them on to a secure standard, with a feeling that it wasn't so difficult after all. Visual learning techniques are employed where possible in addition to learning by muscle memory, coordinating with any school work and homework so that there is no confusion with approach. I really enjoy tutoring and have fun which I think enables the students to ask questions which perhaps they were less able to do in a classroom environment.

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Personal Description:
I am a biology specialist teaching KS3 and KS4 in an outstanding secondary school. I am friendly and approachable, as well as having excellent subject and curriculum knowledge.

Teaching Experience:
I am in my 4th year of teaching after completing my PGCE.

Tutoring Approach:
I work collaboratively with tutees to help improve their retention, overcome exam anxiety, and give them confidence.

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Personal Description:
I am a PhD student at the University of Manchester researching materials for applications to nuclear fusion. I am deeply passionate about my subject, although I understand that it's not everyone's cup of tea! I try my hardest to help my students increase their confidence, enjoyment of the subject and, of course, their grades.

Teaching Experience:
I have been an online tutor since October 2019 and have seen some of my students make 3 grades progress in 3 months. I have worked with a variety of exam boards including international qualifications.

Tutoring Approach:
I try to keep my sessions relatively relaxed as I strongly believe that the best way to learn is when you feel most comfortable. As a fellow student, I can relate to my students and offer them some advice about their studies outside of the classroom. I leave the content of my sessions up to the student to decide, but a typical session would feature a discussion of the content followed by applying the relevant skills through exam practice.

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Personal Description:
Hi, I am a 2nd year medical student at the University of Manchester. I have a range of interests, of course including sciences and medicine, but also in music and history. I achieved top A level and GCSE results, and am passionate about passing my learning onto others. I am looking for students aged 11+ and have evening and weekend availability.

Teaching Experience:
I have extensive experience leading groups of a range of ages in a school environment as well as working with individuals to help them achieve their goals and further their skills in their area of interest. I have been tutoring for two years now, having started in my gap year, and I have thoroughly enjoyed helping pupils significantly increase their grades. My most recent GCSE students increased their science grades from 4s to 8s in around a year of tutoring. I also volunteer at a secondary school orchestra, working with players who are struggling, which often involves explaining concepts and recommending the most efficient practice methods, in a very similar way to when helping in an academic situation.

Tutoring Approach:
My approach to tutoring is tailored around the goals of each individual, which I will assess in the first session. For GCSE and A level students I commonly use exam questions to work on exam technique and assess the student's understanding of a subject area. For all levels I will explain any challenging topics and provide activities to consolidate this learning, should that be required. I can also help students go over worksheets completed in class or as homework to ensure they have the maximum understanding of the current topic.

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Personal Description:
Hi, I'm Frances a friendly retired Science teacher. I am an active 60 year old lady young at heart who enjoy spending time with family and friends. I always have had a passion for teaching and love to see children achieve their potential. I graduated from London University in 1984 with a joint honours in Maths and Physics. The following year I completed my PGCE in Canterbury and then began my 32 year teaching career. During this time I had my own family and now have two grown up children both in their twenties. In my spare time I enjoy swimming, cooking, gardening and decorating my new house.

Teaching Experience:
I have thirty two years teaching experience having taught in four different secondary schools in Kent during my career. I have taught science for over thirty of these and I am predominately a Physics specialist having taught up to A level. I have taught combined science courses along with core and additional science courses. This involves teaching Biology, Chemistry and Physics all up to GCSE level. I have held various managerial positions including being a Head of Department and been responsible for examination entries and moderation of coursework.

Tutoring Approach:
I believe that all children can succeed, they need the tools and confidence to be able to do that. I encourage and build confidence in all students. I identify and build on weaknesses whilst the encouraging the growth and development of strengths,

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Personal Description:
Hello, my name is Mustafa. I am thrilled to introduce myself and help people achieve their academic goals!

I am from Milton Keynes and achieved straight As at A-level and three 9s, 4 8s and 4 7s at GCSE. I specialise in maths and science tuition encompassing KS3, GCSE and A-level

I am currently a second year medical student at the University of Leicester. In my free time I love playing football and basketball and I support Manchester United

Teaching Experience:
I have had multiple opportunities to teach other medical students with difficult modules as well as tutoring science to GCSE and KS3 students

Tutoring Approach:
Personalised to each student. This is important to me as it will ensure that I spend time with each student discovering their strengths and weaknesses and working on a plan for them to reach their full potential. Completely non-judgemental and friendly approach to build a healthy environment for the student to prosper.

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Personal Description:
Hello students, my name is Pankaj. I am currently in manchester, persuing my Msc aerospace aerospace engineering in uni of salford after my btech in mechanical. So i sounds quite experience in application of physics and mathametics and familiar but dont worry i teach by keeping my lectures free from complexibilty. I watch and analyse you while teaching and try to give examples to explain the concepts which suits you and compehensible to you

Teaching Experience:
Well i have five years teaching experience so i know how to use words and pen to make the more uderstble. I have been teaching complete physics and mathametics (calculus,trigo,matrix,determinant,inverse trigo) upto A levels.
I think with me you will learn more quickly and know how to apply these stuff in reality

Tutoring Approach:
I chose teaching area because after my undergrads i found myself best and fit area and i grow this area due to positive feed back from parents side and good marks from.students side

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Personal Description:
My name is Berlynn. I am currently in my second year studying chemical engineering at the University of Edinburgh. I completed my A levels in mathematics, physics and chemistry, achieving A, A and A* respectively. I am originally from South Africa.

Teaching Experience:
I have previous tutoring experience in mathematics, physics and chemistry, working with students aged 13-17.

Tutoring Approach:
My approach to tutoring is interactive and adaptable. I like to tailor lessons to each student's learning style - whether that is through worked examples, visual explanations, or discussion-based learning. I aim to create a supportive environment where students feel comfortable and encouraged. I strive to build the student's confidence, and help them to develop a deeper understanding of the subject.

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