Castle Douglas Maths Tutors and Castle Douglas Maths Tuition

Personal Description:
I am a friendly and easy going person who believes that everyone has the ability to learn. I am passionate about the outdoors and through teaching in schools I have often used the outdoors as a learning environment.

I have a degree in music and my PGCE primary is a mathematics specialism, although I am happy to home tutor in all areas of the primary curriculum.

Teaching Experience:
I am a qualified primary school teacher with 15 years experience working in two contrasting primary schools and a secondary school. I have taught all subject areas in Key stage 1 & 2 and through my secondary experience I have worked with lower ability students to boost their levels and supporting them to reach their full potential in English and Maths. I have also worked alongside students from year 9 to 11 to support them gaining a grade 4 (formally a C grade) in GCSE Foundation maths.

I have a current DBS and am a member of the General Teaching Council.

Tutoring Approach:
My primary approach to teaching is that if children are enjoying what they are learning then the information is more likely to be retained. I believe that it is important for a child to be involved in their own learning, encouraging the children to identify the areas that they are weaker in also enables the children to learn. I aim to both challenge the students and encourage them to achieve their goals.

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Personal Description:
To fill in later

Teaching Experience:
I am currently working as a teaching assistant for a special needs secondary school in Bromley Borough, having worked in the field of Information Technology for over 11 years. Working for a special needs school in the UK has given me an insight into education in the public sector. The reason I would like to teach Maths and ICT is that they are my favourite subjects. I have undertaken some private tuition in GCSE maths a few years ago and my current work is in the ICT department of my school.

Tutoring Approach:
I believe in one-to-one tuition because it gives the student an opportunity to ask questions about the subject matter, without being seen as stupid. Also, my experience in private tuition has given me an insight into the type of difficulty that students face. Since 2012 I have been working in schools, initially as a supply teacher and recently as a Maths Teacher mainly at GCSE level. I specialise in one-to-one and small group tuition (up to 4).

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Personal Description:
I am a friendly and approachable tutor with a huge amount of enthusiasm in the subjects I teach. I was awarded a Scholarship to a competitive independent before working towards a Masters in Biochemistry at Oxford University.

I have since worked as a Pharmaceuticals Business Analyst, as a High Yield Chemicals Industry Analyst in Investment Banking and as an Air Traffic Controller. In each case the knowledge and skills from my education have been critical. I would now like to gain the satisfaction of helping others do well in these subjects and attain their potential.

Teaching Experience:
In my industries it is critical to continue learning and passing exams, and in every role, I have always had to pass on my knowledge and understanding to others, which has been incredibly gratifying. More recently, I have enjoyed tutoring maths and other subjects to pupils locally, often to help them gain entrance to competitive schools. I also enjoy spending time teaching my son and my nieces.

Tutoring Approach:
I believe that learning should always be interesting to the pupil - inspirational even - and that the onus is on the teacher to make this the case. Learning is about being curious and asking questions; in fact I believe pupils should not be scared to ask any question, which means that learning should feel relaxed rather than formal.

Subjects should not be seen as complex but rather layers of straight forward principals that build on what the pupil already knows in an intuitive fashion. In this way, a good teacher allows understanding to grow naturally and not feel like a challenge.

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Personal Description:
Brilliant 2017 Results: Six students received more than 18 offers from both prestigious independent schools and top grammar schools, including City of London School Girls, Bancroft's School, Chigwell School, Woodford County High School For Girls, Ilford County High School, Forest School, Colchester Royal Grammar School. One of my clients won full scholarship from Brentwood School (only top 10 students from more than 553 applicants are eligible for full scholarship). I am pleased that this is the forth consecutive year for 100% pass rate.

My name is Yang and I am a fully qualified Maths teacher (Qualified Teacher Register no. **Telephone Number Removed** working in an Ofsted "Outstanding" rated school.I have also been appointed by the examination board - Edexcel as a senior examiner for Edexcel GCSE/ International GCSE(IGCSE) Maths.

Graduated from LSE (London School of Economics and Political Science) with first class honours, I completed my master degree from Imperial College London with distinction and obtained PGCE (Postgraduate Certificate in Education (Mathematics)) from King's College London. I was working in a top investment bank as trader assistant ( yellow jacket ) before changing to become a maths teacher. I have over nine years experience in primary, entrance exam, GCSE and A-Level maths tutoring. In this capacity I have extensive experience in preparing students for 11+ entrance exams. I am very familiar with the type of questions that students will face in these exams and what is needed to do well in them. I am always passionate for tutoring and I know how to make students' learning process enjoyable. My strong reputation has been built on my ability to improve my students' varying skills, ability and exam skills. I have unrivaled patience and understanding and I am able to bring the best maths tutoring experience to my students.

I am also a member of British Mathematical Association (BMA), London Mathematical Society (LMS), Association of Teachers of Mathematics (ATM) and British Society for Research into Learning Mathematics (BSRLM).

For your peace of mind, I am Enhanced DBS checked. I will bring my Enhanced DBS certificate and school staff ID at the first lesson.

Teaching Experience:
Currently I am working as a Maths teacher in an Ofsted "Outstanding" rated school. I am also working with many Tutoring Agencies as five star rated executive tutor like Top Tutors, Griffin and Bell Education and Holland Park Education, etc. Unlike other tutors, I only teach limited number of students to ensure quality. My A-Level students successfully entered top universities like LSE, Warwick University, Imperial College and other elite Russell Group universities. 11+students successfully got through entrance examination to top schools like City of London School, Bancroft's School, Chigwell School, Woodford County High School For Girls, Ilford County High School, Forest School, etc.

Education:

Imperial College London
MSc. in Pure Mathematics (Distinction)

King's College London
Postgraduate Certificate in Education (Mathematics) (PGCE)

LSE (London School of Economics and Political Science)
BSc in Mathematics (First Class Honours)

Tutoring Approach:
Quality is everything for me. International Student Assessment (ISA) shows that Chinese students ranked best in the world at maths ( UK is ranked 28th for maths, Source: google "Shanghai students ranked best in the world at maths and science", The Telegraph).

As a British Chinese, I can tell you the secret of Chinese learning maths. I have a unique method of tutoring which can be adapted whatever the skill level and also unique exam techniques. But my first objective is to target my students' enthusiasm for the subject so they will be passionate to learn mathematics. Practice is also essential for learning maths, but a good tutor knows how to design different questions for effective practice. Finally,I usually believe that learning is a continuing process and if I am honored to be your tutor, I can not only help you learn the knowledge, but also master the art of learning until one day, you will be able to help others like I do.

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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 Instrumentation engineer/software developer with a passion for teaching.

Teaching Experience:
10+ years of experience of teaching Mathematics, Physics and Chemistry to GCSE, A-levels and STEP.

Tutoring Approach:
I teach a subject by simplifying the concepts and then doing a lot of practice to master the topic. Practice questions are tailored to the individual`s ability. Challenging work is given to more able students and more practice is done to uplevel Maths grade irrespective of one`s ability.
Please note : All the lessons are now online.

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Personal Description:
I am approachable, reliable and trustworthy, and have worked with children and young people in education, child care and the charity sector.

I hold a 2:1 BA in Criminology (Youth Justice) and am looking forward to beginning Primary Teacher Training (PGCE) in September. I am a native English speaker and have an enhanced DBS check.

I am currently a teaching assistant in a primary school year 4 class. I provide Maths and English interventions to small groups of children, as well as one to one support.

My experience as a child-minder to children aged four to six shaped my decision to pursue primary teaching as a career.

I have also volunteered as an Independent Visitor providing friendship and support figure to a young person with aspergers syndrome, in care of the local authority, a role I found extremely rewarding.

Teaching Experience:
Whilst at university I elected to complete a placement year volunteering as a Supported Housing Assistant at Centrepoint. My primary role was to manage, develop and deliver the AQA accredited 'Lifewise' workshops for the 44-bed service. I was delighted to win the award for being innovative, empowering, inspiring and professional during my time at Centrepoint.

Tutoring Approach:
A grasp of maths is essential to everyday life and therefore a high quality mathematics education provides a foundation for understanding the world. I believe anyone can achieve with the right teaching and environment. I aim to develop a love of learning and an appreciation, curiosity and confidence about the subject by building a dialogue with children, allowing them to take ownership of their learning, and providing engaging and stimulating lessons where mistakes can be made and solutions can be found together.

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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:
I have been tutoring on a full-time basis for over 20 years, including teaching abroad as part of my degree at Cambridge University. Over this time, I have taught pupils across the whole range of ages and abilities. I offer professional, qualified, friendly tuition in English, maths and foreign languages, always tailored to meet each individual student's needs. Travelling is not a problem, and is included within the fee quoted.

Teaching Experience:
Please see above

Tutoring Approach:
Please see above

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Personal Description:
I am studying Aerospace Engineering and will be starting year 2 in September at the University of Sheffield, having averaged a 2:1 this year. I also completed a foundation year at the University of Sheffield in Science and Engineering with 92% in my further maths module and 90% in my maths module. I received A*'s in Mathematics, Numeracy and Physics, along with a Distinction in Additional Mathematics in 2017 for my GCSE's (Cowbridge Comprehensive School) and then an A in Mathematics, a B in Further Mathematics and a C in Physics in my Alevels in 2019 (Howell's School Llandaff).

Teaching Experience:
During year 12 and 13 I did mathematics with year 7's and 8's on a Friday morning during form time. We did maths challenges and quick maths problems. I was also a mathematics prefect during year 13, one of my roles was to help run and support other students during maths 'drop in' during lunch times twice a week, where years 7-13 could go for help with any maths they were doing in class, I usually helped years 7-10 and occasionally year 11.

Tutoring Approach:
This online lesson can be used to help with GCSE or below maths and numeracy. I can also help with additional mathematics (also called further mathematics with different exam boards) at GCSE level. I am happy to help with any level whether you are expecting to sit higher tier, intermediate or foundation tier.
Let me know what topics you are currently studying/going to study before the lesson and I will be able to provide questions for you to do, answer any questions you have and give you different methods of completing the question to find which you find easiest (there is normally more than one way to do something!)
I can also help with some physics up to GCSE level if required.
I will be around the South Wales area until the end of August and then I will be returning to Sheffield, however would be able to continue with some online lessons then.

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Personal Description:
I am a GTC (General Teaching Council for Scotland) registered Maths teacher with a first class hons BSc and PhD in Chemistry from Edinburgh University and a background in engineering and industry.

While I am highly academically qualified, I understand how it feels to struggle with study and the benefit of getting extra support. I found parts of maths and language difficult at school and was lucky to have a couple of very understanding teachers who helped correct the damage to confidence and understanding left by some rather less sympathetic practitioners.

I have many interests from sports and the environment to languages and the arts and believe in lifelong learning to help gain new skills remain adaptable and responsive to change. I have distinctions from the OU in maths and psychology courses and continue to access various online learning opportunities. This enables me to take a broad outlook and to encourage students to think widely and deeply about opportunities and issues in the world.

I really enjoy tutoring students and helping them to achieve in their studies and gain a sense of satisfaction in their work.

Teaching Experience:
I have over 20 years of teaching experience. I am very comfortable using online tools for tuition and assisting students to use them in collaboration with me so that remote sessions are productive, personal and interactive.

What I value in teaching:

Those "Aha moments" that my student's experience when they make the connections that help it all make sense... sadly so often missed out in some of the narrowly focused school based classroom environments...

The students who go from bottom of the class and being advised they should aim for N4 not N5, to achieving A grades and their teachers recommending them for higher...

The students who were failing and dispirited who progress to pass with very secure B grades, their confidence and positivity restored.

Tutoring Approach:
A positive relationship between tutor and tutee is essential for effective learning, so building a respectful and trusting dynamic is the basis of my work. I always seek to focus on improving and deepening understanding with an approach that reduces anxiety and builds confidence and motivation.

My teaching style is collaborative and supportive. I am friendly and approachable with a real concern for each student's experiences, passions and difficulties and how I might best help them. I take a flexible approach to build positive relationships with students of varying interests and personalities.

Building a student's understanding of the fundamentals of the subject is key as this leads to deep and effective long term learning and will build confidence in the student and also their cognitive abilities to perform at higher levels.

I also work hard to help students improve their study techniques and to become more independent learners and more reflective and critical thinkers. This helps students to achieve at their best in all subject areas and also to develop the resilience and self-directed study skills needed to succeed in their future studies.

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Personal Description:
I have an excellent ability to analyse pupil's needs in a preliminary session as well as in the ensuing teaching which enables me to create a teaching plan to support any weaknesses or extension that may be required. I can do this quickly and capably.
I have a range of teaching styles and skills that I can use to differentiate between the needs of the different key stages and to engage with pupils according to their personality. Where appropriate, I like to use practical materials to reinforce concepts if necessary.
I can extend pupils beyond the average expectation to higher, or I can support through concepts that need understanding in order to attain average expectation.
I am extremely organised and efficient. On the other hand, I can be flexible and fluid, depending what style might be needed for the individual pupil.
I have a huge bank of tried and tested resources both in my head, on computer and on paper. I am always keen to find new ways of supporting pupils, tailored to their favourite topics and hobbies where possible.
I am a good listener so that I can understand the concerns and important issues of parents/carers and the pupil themselves.
At the same time, I am confident in being able to talk to families about their needs and issues.
I am studying on an extended creative writing course with the National Centre for Writing affiliated to the UEA.
I have two adult children and 7 grandchildren whose ages range from aged 3 to aged 12. I am often called on to help their understanding of English and maths concepts or to help them with their humanities projects.
I have a comfortable, spacious home where teaching can take place. Parents are always welcome to sit in on any sessions providing it doesn't affect pupil behaviour.
I have travelled within all seven continents (yes, including Antarctica!).
I love reading and all different kinds of music and dance. I love nature, particularly birds.
Most of all, I love working with children and I love teaching.

Teaching Experience:
I have been teaching for 40 years in a variety of settings ranging from areas of poverty and social deprivation to academic private schools. I have worked in large city schools with over 300 pupils and village schools with 40 pupils.
I have worked with all year groups from Reception to year 6.
I have been responsible for maths throughout the whole school and acted as deputy and head of school when needed.
I ran a British Council Comenius project where I worked with schools in Poland and Northern Spain. This involved visits, taking year 6 pupils to Warsaw and Oviedo.
Over the last 15 years, I have been working on a one-to-one scheme where I work with individuals or groups within the school setting in supporting and extending pupils' abilities. I have been successful in helping schools to attain above average scores in KS2 SATS and in building confidence for the future as well as supporting children with anger management needs.
Prior to that I worked in the Junior Department of Norwich High School for 17 years.
I have a current DBS and can provide references where needed.

Tutoring Approach:
I have covered a lot of my approach in the paragraph above "About Yourself" as I feel that my teaching and my personality and interests are pretty much entwined!

I would like to add that my approach is one of flexibility and understanding based on huge banks of experience.
I can coach to a higher than average level or support where the building blocks have been missed.
I have no problem in supporting pupils with challenging personalities and adapting my teaching style to meet their needs.
Apart from providing the necessary teaching concepts, I offer a sense of humour, dedication, acute awareness of needs and hope to provide confidence and instil a sense of exciting, extension and pleasure in learning.

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Personal Description:
Hi!
I'm Necdet and am a student of Boğaziçi University's teaching physics program. I have successfully completed the first year without failing any of my lesson and getting a GPA of 2.42. I am a Turkish Cypriot and I am quite familiar to the GCSE and A-level curriculum. Apart from my academic background I'd like to address couple more stuff I have in my life. First off I have to state that I love learning and teaching new stuff, and also I believe teaching is the older brother of learning; as you can not say that you have learned something deeply if you are unable to teach it to someone that does not know it; like I play chess and have been the 6th table player of my municipality's chess team. Even though I have attended many many games with that team I was not aware of the fact that thinking simple would actually be a benefit in any game, and I realized this when last year I have aided an association's chess team in stars category as an educator. When working with youngsters that are looking at the game much simpler than you do, you have to match their energy and try to predict what obstacles may get in their way, and I believe this working experience improved me quite a bit in that matter. There are couple more sports that I am into and have been a part of, I have listed them in my CV and I do not want to make this message too long and boring so I am stopping here:))

Thank you for your time and I am looking forward to hearing from you!!!

Necdet

Teaching Experience:
I am actively working in a private tutoring association for more than 2 years and also I have given many private lessons from grade 4 all the way up to adults.

Tutoring Approach:
Tutoring is not only a job for me, but also a way to stay active in life and become more energetic. Being with and tutoring youngsters boost my confidence in our future!!

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Personal Description:
I'm 28 years old and have a passion for teaching. I love helping and guiding students to gain success and knowledge in all areas but my favourite part is seeing children feel confident after learning a new skills. I'm kind, approachable and fun! I make learning fun and engaging by using different techniques.

Teaching Experience:
I've been teaching for 4 years but prior to this I worked in as a teaching assistant (TA/PSA). I've done tutoring for the last couple of years and love getting to know students and help them with their needs.

Tutoring Approach:
I cater for the child. I adapt lessons to best suit them. Do they need a bit of extra help to meet their age related expectations or do they need to be pushed higher to gain a level higher. Whatever the needs, I want to help!

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Personal Description:
Masters and PGCE graduate from University of Cambridge. Passionate, experienced, and friendly tutor.

Hi there! My name is Jagon, and I am a passionate and experienced tutor of science at GCSE and Biology A level. I completed both my Masters and my teaching training at the University of Cambridge, which informs my practice with the most current research-based teaching strategies which leads to academic success. What makes me stand out from other tutors is that I have a talent for chunking and clarifying complex concepts into manageable pieces, making it easier for my students to understand and retain what they've learned. Whether you're struggling with a specific topic or need help with an entire subject, I'm here to help you succeed.

Teaching Experience:
Currently, I have been giving online tutoring for 5 years and am currently teaching in real-life classrooms. I am able to cater to different examination boards and learning styles.


"Tutoring with Jagon has been an experience that has aided me so much.
The lessons are always so productive and I learn so much every time. The slides that he creates are so detailed and interactive which really help me develop my understanding on the topic as well as keep me from getting distracted. Finally, he also works on past paper techniques, telling you exactly how to answer a specific question.
Overall, the lessons are great : Jagon is such a cool teacher and never makes me feel self-conscious if I get a question wrong. I love doing my lessons because I have a blast but at the same time get so much work done.
If you're looking for a biology teacher who can teach you as well as be fun, he is the best option!"
- Sophie, Year 11.

"I find the lessons very useful, and they have helped me a lot. I think you teach in a way that makes the information stick in your head. You teach the information to make us understand it but not memorise it so it is easier in exams. I find it very effective and it has helped me."
- Anna, Year 9

Tutoring Approach:
My approach to tutoring is highly personalised and focused on helping you achieve your desired marks. I believe that everyone has the potential to succeed, and I work closely with my students to identify their unique strengths and weaknesses, so that we can develop a customised learning plan that works for them. I'm patient, understanding, and committed to helping you succeed, adapting to your learning style and background.

My lessons are very much dependent on my initial assessment of the students, but usually involve discussions and activities to identify areas that need developing, explicitly teaching the material that students need help with, checking their understanding, then providing lots of opportunities to practise the content, leading to exam practice by emphasising on examination techniques.

I truly believe that everyone is capable of succeeding in their GCSEs and A level with hard work and the right guidance. I am confident that my experience and genuine passion in science will help my students grow their confidence and achieve great results. Feel free to contact me for more information, testimonials or to schedule a lesson!

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Personal Description:
Finished my Higher education in 2021 and after that I started teaching students as a home tutor. I have been teaching several students throughout the years as I am enough passionate about teaching and like to share my knowledge with children. And I personally think being kind, helpful and friendly can be a key to unlock one's interest towards their goals. Life is beautiful. We can tackle everything together with love and care utmost.

Teaching Experience:
I have been teaching for 2 years and my base subjects are Math, English and natural/ Environmental Science. And mostly I have experiences for primary and secondary stages. I was registered as both a home tutor and academic tutor.

Tutoring Approach:
Children often like to do whichever they find interesting and fun. Why not study? learning and gaining knowledge has no bound. My main goal has always been to arise their interests toward education and have to prove them it can bring fun moments and it is easier that way. Also Teacher-Student relation can be friendly enough to share everything so that one would not feel burdened or has to face hardships.

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

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

Let me help you unlock your full potential in math!

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

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

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

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

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

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

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

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

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

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