Prudhoe Maths Tutors and Prudhoe Maths Tuition

Personal Description:
As a 63 year old with 17 years teaching, I have a lifetime of real experiences outside teaching. This includes 20 years as an RAF technician using maths and physics and 10 years in the business and computing world. Consequently I can deliver teaching to students that is real and meaningful. Domestically I have four children (three have left home), a cat called Abby and Freddie the gold fish.

Teaching Experience:
I am very good at my job as a full time maths teacher and I teach/tutor students with a range of abilities and learning difficulties. My experience and ability to teach well has consequently produced excellent results for students. The focus of my tutoring is to develop a students confidence and independence to think logically in maths. I have extensive experience of providing professional support to students in their home, or tutoring online.

Tutoring Approach:
Over the years I have tutored many students in their homes and they have gone on to achieve excellent grades. Due to the fantastic rich varieties of learning activities, and the high level of interaction, most of my tutoring is now delivered online. Parents are often sceptical at first, but after a short demonstration, most of my potential students and parents take the online option. Delivered directly into your home via live Internet, the benefits of online learning are massive: all sessions are recorded, students have access to hundreds of PowerPoint, accurate assessment, and students make rapid progress. After the first couple of sessions parents begin to understand why traditional tutoring methods are very poor and often produce limited results. Student love the online approach to learning and make great progress.

My aim is to develop a student's confidence and identify any barriers to learning. Effective learning and thinking skills can be developed through gentle questioning and guiding a student so they are able to achieve. I feel it's important as a tutor to develop listening skills so that one can pick-up on areas where the student needs support. Some assessment is necessary to show how a student has progressed. I believe my experience and enthusiastic approach helps me to present difficult concepts in a simple way, and online tutoring is ideal. Its also important for me that a student has fun while learning so that they make good progress. CRB Enhanced.

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Personal Description:
I am very patient and tolerant but very effective in imparting right techniques in Maths. I encourage independent thinking and asking questions. I am currently teaching in a Sixth Form college and I have a good experience in teaching AS/A2 Maths, Accounting and Business Studies.

Teaching Experience:
I have been teaching to sixth form students for quite a long time now and have delivered excellent results. After completing my Master's in International Business, I have been working at Independent Sixth Form college in Birmingham since September 2010 teaching AS/A2 Maths, Accounting and Business Studies. Working in a sixth form college has given me immense confidence to deal with students.

Tutoring Approach:
I put a lot of emphasis on past papers and exam reports as its very important to read Examiner's Mind frame before attempting any paper. I believe that examiners understand the mind of a student through his/her written attempt, not how hard a student has worked or how impressive his subject knowledge is. In order to facilitate this, I have a vast resource of Past papers and Exam reports which prove quite conducive for my tutees.

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Personal Description:
I have been a classroom teacher for 20 years, but have recently branched out to become a PE specialist, whilst I have still teach some maths and English I would like to teach more, whilst still keeping my current position. I am an outgoing friendly but strict teacher/tutor and pupils clearly enjoy being taught by me and respond accordingly with excellent results.

Teaching Experience:
I have been a primary school teacher for 20 years, constantly employed. I have taught all primary age classes and successfully prepared children for local entrance examinations. I am currently employed as Head of Junior Games at QEH Junior School in Bristol.

Tutoring Approach:
I enjoy the one to one style that tutoring provides as it allows me, as an educator, to use my experience to help the student get to grip with difficult issues.
It is a very personal way of learning that I believe is well suited to my style of teaching.

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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:
Hello. My name is Dr. Zara and I tutor students in the age group 13-18. I hold a Ph.D. in medical biochemistry and a PGCHE from the University of Kent. I am currently working at the University of Bristol.

I specialise in teaching Chemistry and Biology at A-level, specifically for OCR and AQA exam boards. I also teach Edexcel Biology (SNAB). I come across as a friendly, patient and enthusiastic tutor. I strive to make learning a creative and enjoyable experience, while always keeping the students goals in mind.

In the academic year ending June 2019, 80% of my students of my students achieved predicted or better-than-predicted grades, and the majority of them were able to go to a University of their choice. Their testimonials are available for you to read on my website.

Apart from regular tutoring, I also offer intensive coaching in preparation for entrance exams, GCSE and A-level exams. I am able to help with homework assignments and proofreading. Additionally, I have previous experience of tutoring students with special needs.

Teaching Experience:
I have six years teaching experience at both undergraduate and post-graduate level, in addition, I have been a part-time tutor for four years. I have marked GCSE and A-level papers and can offer advice on the best way to answer exam questions to maximise marks. Most of my students show rapid increase in confidence levels after 2-3 sessions of tutoring.

Tutoring Approach:
My aim is to motivate young people to achieve the best of their abilities. I believe that all students can do well, turning negative barriers into positive outcomes. My approach is to break down difficult areas into bite size achievable goals. I set goals for my tutees and plan my lessons well in advance. Lesson plans and student progress reports are available to both tutees and parents. For students who work with me for an entire year, I offer additional help with exam paper revision and feedback sessions.

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Personal Description:
I am a native Chinese speaker from mainland China, and I have been living in the UK for more than 15 years, working as a Modern Foreign Languages (MFL) and Chinese teacher at a independent school. I earned a PhD in Educational Studies from the University of Manchester in 2015. I have excellent teaching experience in Chinese at all levels, as well as in Maths (from KS1 up to GCSE). I have received positive feedback from my previous students, who have praised my patience, clear communication, and sense of responsibility. Additionally, I have worked as a Teaching Assistant (TA) in a secondary school, where I gained valuable experience supporting young people's learning.

In terms of personality, I am very easygoing, kind, and highly responsible. Since moving to the UK in 2010, I have lived in diverse environments, working with students from various creeds and ethnic backgrounds. This experience has enriched my understanding and appreciation of international cultures and individual differences.

I enjoy travelling and experiencing new things. I have visited several places, including European countries (England, Scotland, Wales, the Netherlands, Switzerland, France, Italy, Spain, Iceland, and Greenland), Africa (Cameroon), South Korea, Hong Kong, and Macau. I love sports, particularly swimming, yoga, cycling, hiking, and horse riding.

Teaching Experience:
I am an experienced and dedicated Modern Foreign Languages (MFL) and Chinese teacher, currently teaching students aged 3-18, including GCSE, GCE/A Level,HSK and YCT(Youth Chinese Test) Chinese, at an independent school in the UK. With about 15 years of experience teaching Mandarin both online and face-to-face to non-native English speakers of various ages and levels in both China and the UK, I have developed a deep understanding of effective teaching methods and the ability to meet individual student needs.

As a private Mandarin tutor, I bring the same level of commitment and personalized attention to each of my students. My extensive experience has equipped me with valuable insights into creating engaging and effective lessons tailored to each student's learning style and goals.

In addition to my current teaching role, I have been a freelance Mandarin teacher since 2012, collaborating with several language organizations. I am also an experienced interpreter and translator, with over ten years of expertise in both written and spoken translation. My background includes working in various sectors, such as business (e.g., 2010 EXPO Shanghai) and education (e.g., translating articles and interpreting at international conferences).

Testimonials:
"I decided to begin learning Mandarin with Yifen over the summer for business and travel purposes.
Given that I was a complete beginner, I was heartened by the friendliness and professional nature of the lessons and was delighted by the flexibility of the lessons.
The way Yifen catered the lessons to my specific areas of interest was very encouraging. It meant I was able to cover a lot more relevant content in the short time I had with her.
Had I not had to move back to University, I would've liked to continue my lessons." Matthew, a former Student

''I had the pleasure of taking my first steps in Mandarin with Yifen. I found her very knowledgeable, understanding, adaptable and extremely flexible to my needs. Only when I travelled to China, I could really appreciate how valuable her teachings were. Before Yifen, I could not understand anything at all. After only a few lessons with Yifen, my ability to understand had greatly improved and I could even venture into dialogues with Chinese people and, lo and behold, be understood!

Yifen's approach is systematic and practical at the same time. She frequently tested my comprehension ability, and engaged me in dialogues, but also illustrated the building blocks of the language, touching on grammar rules and special usage, as needed.
She was always keen on answering any additional questions that might have crossed my mind. She was motivating and an inspiration and greatly boosted my desire to learn more about the Chinese language and culture.
Yifen is a joy to work with and I would heartily recommend her to anyone who wants to approach the study of the Chinese language with a solid, competent and inspirational teacher.

老师，谢谢'' -Fernando, A former adult learner

"Yifen has been my teacher for the past four years throughout my GCSEs and A-levels! She helped me achieve an A* at GCSE and helped me achieve my required grade to get into university! With a lesson every week I was undoubtedly able to rely on Yifen for the support I needed for my work and to achieve the result that I not only wanted, but needed. She would always write lesson reviews and summaries for me to look upon to further improve my learning of Mandarin, and even set me work to challenge me and to push my ability further. I'm so grateful for all the time Yifen gave up for me and definitely wouldn't have been able to adapt and progress my Chinese without her help! Yifen is so helpful, reliable and able to focus on anything you ask her to help you with and I would highly recommend her to anyone who would want to learn or better their Mandarin!"-Bethan, a former GCSE and A-level learner.

Tutoring Approach:
I make every effort to prepare lessons that meet each student's individual needs. I strive to create a comfortable learning environment because I believe a good atmosphere is crucial for learning a language and encouraging learners to speak. Lessons are carefully prepared, incorporating engaging stories and other materials, so you can learn Mandarin and have fun at the same time!

I believe that a good teacher is responsible for meeting students' needs. My work experience has reinforced my belief that it is essential to teach the students in front of you rather than just following a textbook. I endeavour to be an attentive listener, observe, and identify any problems that arise during lessons. This approach helps me find solutions and maximise my potential.

I am passionate about helping my students succeed and am committed to providing high-quality, individualised instruction. If you are looking for a skilled and reliable private Mandarin tutor who can help you achieve your language goals, I would be delighted to work with you.

There are some textbooks I have been using for the learners, such as:
Confidence Chinese Vol. Getting Started
Confidence Chinese Vol2. Living in China
Chinese Made Easy Book1, 2 and 3.
Standard Course HSK
Edexcel Chinese for AS
Edexcel Chinese for A2
Chinese Made Easy for Kids.
Youth Chinese Test(YCT)

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Personal Description:
I am a qualified Maths teacher (formerly a KS5 Co-ordinator & IB Subject and GCSE Curriculum Lead for Maths) and a private tutor with BEng and MSc degrees from a university of technology, PGCE from Goldsmiths, and top A-levels equivalent grades in Maths. I have approx. 15 years of tutoring experience at all levels from Secondary through to GCSE and A-levels or equivalents. The great majority of my students have achieved or exceeded their goals and passed their examinations. I will be happy to help you as well. Prices vary from £30 to £50 per hour depending on the level, location, and number of hours. Additional information is available upon request.

Teaching Experience:
approx. 15 years

Tutoring Approach:
Based on individual assessment of each person's circumstances.

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Personal Description:
I currently work for Derbyshire County Council as an 'out of school' tutor in the core subjects and also as a private maths tutor. During 2012/13 I worked at Levenshulme High school, an 11-16 girls school in Manchester, where I taught maths. Prior to this I worked at Burnage Media Arts College as a maths teacher and Astley Sports College as a maths teacher with extra responsibilities as the ICT coordinator and the gifted and talented coordinator for the whole school. From completing my degree to pursuing a career in teaching I raced as a semi-professional on the Great Britain National Cycling Squad. I have represented Great Britain at several World Championship events and also the 1998 Commonwealth Games. I have also gained gold medals at both World and National level over the last several years. I am also a member of Glossop mountain Rescue Team.

Teaching Experience:
I have been teaching Key Stage 3, GCSE and A Level maths for 13 years. I have taught in secondary schools in both Tameside and Manchester and also delivered one to one maths tuition throughout this period. I have extensive experience of teaching Edexcel and AQA syllabuses. I have specific experience of one to one tuition to convert grade D students at GCSE to a grade C. I have a Secondary teaching qualification and also an FE teaching qualification. I have a B.Sc honours degree in mathematics.

Tutoring Approach:
All programmes of study are tailored towards the specific needs of each student. It may be exam preparation, exam practise, exam revision or maths 'booster' sessions. I offer a friendly, supportive and affordable service. I use an extensive selection of resources to make learning fun and accessible to all students, whatever their needs. I also offer a 15 minute free consultation prior to any tutoring sessions. I have the flexibility of tutoring both at my own home, at the students' home or ONLINE LESSONS via Skype.

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Personal Description:
A Chartered Accountant with First Class BA (Hons) in Accounting and Finance and more than 10 years of experience in the industry.

Teaching Experience:
I have gained extensive experience tutoring students from various backgrounds and different age groups. Helped successfully in meeting tight deadlines and improved learning abilities by focusing on key syllabus.

Tutoring Approach:
Teaching students by helping them understand the concept logically rather than memorising complex problems. Understanding application of concepts in real life helps in retaining the lessons for longer term.

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Personal Description:
I am a Malaysian who can speak English, Chinese, Cantonese and Malay Language. I have completed my undergraduate degree in Food Science and Nutrition before working as a home tutor for 1 year. Currently, I study Msc in Nutritional Science at University of Nottingham.

Teaching Experience:
1 year teaching experience starting from Sept 2015 to Sept 2016 where I used to teach Biology, Chemistry, Maths and Mandarin.

Tutoring Approach:
I am a friendly tutor and patient in teaching. I guide my student patiently and slowly if they find it hard to understand the topic.

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Personal Description:
Hi, I am Wahid and I am a medical doctor and a graduate of University College London (UCL) in BSc Biomedical Sciences (Hons). I have experience of teaching GCSE and A level Biology, Chemistry, Physics (GCSE) and Maths across the exam boards. I have more than 500+ hours of teaching experience of these subjects.

Teaching Experience:
I have experience of teaching for the past couple of years. Seeing improvement in my students' knowledge, skills, and ultimately boosting their grades is at the core of my teaching. My students have moved from D prior to teaching to A and Bs. I focus both on the core knowledge and skills as well as past exam questions- providing tips and techniques as we go along.

Tutoring Approach:
I take a holistic approach in my teaching; providing high quality of teaching which is result-driven, systematic and student-centred- with focus on exam and revision strategies. My teaching is active and engaging.

I am responsive to the needs of my students; ensuring they are making significant progress. In addition to conveying knowledge in an understandable way, I am aiming to boost my student's confidence and transferrable skills. All of which will ultimately lead to boosting grades significantly.

What you will be looking forward to:

1. Acquiring in-depth and concise knowledge of the contents of the specification
2. Exam tips and proven studying techniques
3. Past paper practise
4. Marking and providing feedback on mock exams
5. Enhancing confidence and analytical skills
6. Pattern of topics that always come up
7. Being available to answer my students' queries round the clock

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

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

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

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Personal Description:
I am a qualified teacher with over 30 years teaching experience, mainly in KS2. I have QTS to teach English and maths / any National Curriculum subject, to any age group. Also I teach adult literacy and numeracy.

Teaching Experience:
KS2 / KS3 supply teacher and private tutor in London, Sheffield, Rotherham and Doncaster (1980 to present)

Tutoring Approach:
I have a friendly and patient approach. I build my student's confidence by differentiating work to match their individual abilities and interests.

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Personal Description:
Hello my name is Anne-Marie, I am from Ireland but have been living in the UK since 2004. This is now a place I call home. I realised I had a flare for imparting knowledge when I became a basketball trainer at 15, working with Primary and Secondary pupils. I thoroughly enjoyed the experience, saw the progress the pupils I trained had made and knew from that moment that teaching was my vocation as it was and is so rewarding. I now have a 5 year old son who loves reading and writing. He can articulate himself well and it's truly a joy to see. It's amazing the wonder a child sees in learning.

Teaching Experience:
From September this year I have been teaching English, Geography and RE at Beckfoot School in Bingley. I am a tutor as well (GCSE English, KS3 English, Maths and Science). As well as that, I am an EAL teacher to Chinese children online. In the past I have taught English up to GCSE at Laisterdyke Leadership Academy and English and French at Pudsey Grangefield School. In addition to this, l have taught Spanish and French at Carr Manor Community School. I taught the same subjects at St. Bede's and St. Joseph's Catholic College in Bradford from September 2017 to May 2018. Prior to that I was teaching French and Spanish at Cardinal Heenan Catholic High School (formerly a Language College). In addition, I assisted students to prepare for the GCSE German exam. As well as my teaching responsibilities, my pastoral duties included being a Year 10 form tutor. From February to December 2016, I was a teacher of French at Key Stage 3, Spanish at Key Stages 3 and 4 and was responsible for a Year 9 form at Queensbury School. From September 2015 to January 2016, I taught German at Key Stages 3 and 4 and French at Key Stage 3 at Oakbank School in Keighley. I previously worked at Rastrick High School and Sixth Form College where I was a teacher of French at Key Stage 3 and Spanish at Key Stages 3, 4 and 5. I also taught German and PSHCE to Year 9 students, and Accelerated Reading to Year 7 pupils. Four years ago, I was a Year 11 form tutor. This role entailed planner signing, reading and guiding pupils on college and career choices as well as helping them with exam revision skills. During registration, I covered some PSHCE topics and encouraged my tutees to write reviews on the books they were reading in order to find out more about their interests and consequently get to know them better. My form was involved in fundraising activities and have participated in assemblies. As well as that, I have mentored a PGCE student on how to become a form tutor and in addition I had a GTP student in my Key Stage 3 and 4 Spanish classes. In 2015 whilst on maternity leave, I taught Spanish to Years 2 and 6 and French to Years 3 and 4 at a local Primary School on a voluntary basis.

Tutoring Approach:
I like to use an approach that suits the students I teach. I discuss what needs they have and what their interests are and work from there. I like to be well-prepared yet flexible when necessary. I like to do kineasthetic activities to keep the students engaged in their learning and use a variety of resources to enable my students to gain as much confidence when speaking, reading writing etc.

I also create an environment where my students feel safe and at ease when learning meaning they are not afraid to make mistakes and are keen to build on this and see that mistakes are evidence of effort.

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Personal Description:
I am SEN trained in the areas of Dyslexia (Language), Dyscalculia (Math), Attention (ADD/ADHD), Dysgraphia (Handwriting) and Autism and am a qualified remedial therapist (Davis Facilitator).

I am a Whole Brain Practitioner with the Kobus Neethling Institution. I also have a Finance Degree and Art Therapy background.

Over the past 10 years, I have owned numerous Maths and English Reading Centres and have worked with hundreds of children. I have specialised knowledge in eye kinetic, perception development, learning and behavioural difficulties.

Teaching Experience:
During my years of owning my Maths, Langauge and Reading centres, I have worked with hundreds of children. Most of the children that I worked with were struggling before working with me, but sometimes I got children who were very bright but were not reaching their full potential. I have a special interest in Giftedness and was able to extend those children and make them exceptional.

Early on in my working career, I worked in Investment Banking in London and internationally, before changing careers to teaching, focusing on remedial therapy.

I practice now as a specialised remedial therapist (SEN) and focus on learning and behavioral issues.

Tutoring Approach:
I have a fun and creative approach to tutoring.

I make a huge effort with every person I work with and really connect with them.

I like to use various mediums, games and methods to make the learning experience more enjoyable and help the information to embed more easily. It is sometimes necessary to build a concept in a 3-dimensional format, before working through methodology on paper.

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Personal Description:
Enthusiastic and hardworking private tutor, currently studying Engineering at St John's College Oxford, tutoring during the holidays and term time. I'm offering tutoring for the PAT entrance test and advice for Oxford admissions, as well as lessons in Further Maths, Physics and Chemistry up to A-Level, in person (in Cambridge) or online.

Teaching Experience:
I've gained 6 months experience tutoring students up to A-level, both independently and as part of the tutoring agency UK Study Centre. I'm providing guidance and support for Oxford admissions, specifically for subjects requiring the PAT entrance exam, including personal statement writing, interview and exam preparation. I've achieved top grades in 12 GCSEs and 4 A-levels, giving me experience in converting understanding and exam technique into results in exam situations. I've been awarded a scholarship at Oxford in 1st year, which has required a diligent work ethic and thorough preparation for deadlines, skills that help me to provide well planned and entertaining lessons for students.

Tutoring Approach:
I aim to provide an interactive and engaging learning experience, and be flexible with lesson content and resources suited to your needs and expectations. I strive to teach through underlying concepts and understanding, producing a genuine interest in the subject matter. I combine this with a focus on good exam technique and practice to help you achieve the results you want.

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Personal Description:
I am 18 years old I just finished doing my A-levels where I studied applied science, sport and mathematics.

Teaching Experience:
I have taught my sister and other kids that are local to me. I taught mainly mathematics and some science topics.

Tutoring Approach:
I approach tutoring by making sure that by the end of the lesson they have gotten better at the topic and subject the session was for. My main goal is for the student to feel like they have benefited from the session.

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Personal Description:
Hi, my name is Tom. I'm a very experienced GCSE and A level maths tutor. Students and parents find me very effective. (Please see the testimonials on my profile page.) I teach through dialogue, the priority always being to allow the student to think aloud, and to choose which way to explore a problem.

I'm expert with online teaching software, including my own for teaching vectors.

I'm passionate about one-to-one teaching, which I've been doing full-time for 15 years. I very much look forward to working with you.

I'm available for a free meeting any time today, if you'd like to chat to find out more.

Best wishes

Tom

Teaching Experience:
I've taught privately over many years, and had extensive contracts for one-to-one work at many schools in Letchworth and, most recently, a 6th form college in Brighton (Kings).

I'm expert at using graphical software to teach online.

I'm experienced in teaching maths at all levels of primary and secondary schooling (UK Key Stages 1 to 5).

GCSE Maths and GCSE Additional Maths, A-level Maths and A-level Further Maths, including mechanics, decision maths, and statistics.

Recent experience with all exam boards: Edexcel, OCR and AQA. For A level, GCSE and IGCSE.

Tutoring Approach:
Students often struggle with maths at school because of misconceptions that are particular to them, and difficult to rectify in a whole class setting, and which lead to the student losing confidence. One-to-one tuition can be an excellent way to address these misconceptions. and enable the student to re-connect with their enjoyment of the subject.

As a psychology graduate (before studying maths at university level), I have a fascination with how students themselves will approach a maths problem, and I'm good at allowing them to explore and develop their own ideas. I find they almost always have energy and enthusiasm for, say, a ratio or algebra problem, if they are allowed to explore it with appropriate visual imagery.

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