Notting Hill Maths Tutors and Notting Hill Maths Tuition

Personal Description:
I am a Investment Modeller for an Enery Firm.I develop financial models to help the firm to make major investment decisions in the UK.

I am Msc, Finance from LSE and consider myself as a person who makes complex formulae simple.

Teaching Experience:
I have taught mathematics to the University, A Level & GCSE students. Most of them have done well and are thorough professionals in their respective fields. Most of them are software engineers.

Tutoring Approach:
I believe in making complex formulae simple. I do that by linking a problem to commonsense or everyday life.

So, there is no need of memorising formulae. Even if you forget it, just remember the story I told you to remember the formulae !

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Personal Description:
Hi, I'm a professional engineer with a passion for developing the next generation of STEM leaders. I've worked in both the Aerospace and Automotive industries with companies such as Airbus, Rolls-Royce, Bentley to name a few and I've given talks at universities nationwide about engineering. Tutoring is something I did for many years as a student with great success and I relish the opportunity to get back into it.

I graduated from The University of Sheffield with a Master's degree in Aerospace Engineering. Alongside this I partook in several leadership roles such as Academic Officer for the Aerospace Society and pursued my passion for music as part of the jazz band.

I play a variety of instruments including Drums (Traditional and Western), Piano/Keyboard, Guitar and Saxophone. If this goes well enough, I may even be able to quit the day job and go full time with my band!

Teaching Experience:
11+

Maths A-Level.

Physics GCSE

Experience with dyslexia

!!!100% Pass Rate!!!

DBS Checked

Tutoring Approach:
Nobody wants to be in school outside of school; so in knowing this, I like to have an initial consultation whereby I listen to the student's interests, concerns and preferences to ascertain their preferred learning style. I apply real-world practical examples from my experiences to provide greater appreciation for what is being taught as context helps with not only retention but also understanding.

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Personal Description:
I am a graduate in Mathematical Economics from the University of Birmingham. My original career was as a Chartered Management Accountant but I always had the ambition to move into teaching. I have been tutoring children one-to-one since 2012. I also run a maths and English training centre for 3 to 14 year olds. I was a governor in a primary and then a grammar school for many years before entering the teaching profession. I was on the GTP training course for Secondary Mathematics at London South Bank University before deciding to go down the tutoring route. My aim is to help children become independent, confident learners who are not afraid of numbers. Everyone can do Maths!

I teach maths at the following levels:
GCSE
A Level
Adult Leaners

Teaching Experience:
I am now tutoring both face to face or online.

I have now built up a lot of experience helping students prepare for GCSE and A level exams. I cover all levels and topics up to Further Maths in year 13. This includes mechanics and Statistics. I also work with adults who are doing numeracy or other work related maths exams.

Many pupils find the transfer from primary to secondary schooling academically challenging. I can explain the underlying mathematical concepts and show them how to approach questions so that they can get into the maths set they deserve. For older pupils I will build their confidence by presenting topics in a variety of ways to find one that makes sense to them. I will help the students improve their exam techniques.

I will travel to your home within 5 miles of Cambridge.

Tutoring Approach:
Don't take my word for it. These are the comments posted by parents. They demonstrate my approach to tutoring.

"Ian has been reliable and my son is happier with Maths than he was. He feels much more confident"

"Ian very good Maths teacher,is so polite, good explain, my daughter she is very bad with Maths, but now she understanding better than before.This is really helped,I recommend this teacher.
We are very Happy.
Thanks Ian"

"More than happy. Ian engaged and connects with my son with ease.Excellent tutor,Thoroughly recommended"

"Ian has been a fantastic tutor and really helped my son in his preparation for his GCSE`s."

"My son was struggling in his first year at secondary with maths. In the few weeks he has worked with Ian has had a marked improvement at school and has grown in confidence."

"Enthusiastic and thorough in his teaching. My son actually enjoy the lessons with Ian."

"Ian is very patient and a good teacher. ****** is happy with the pace and content of her lessons. Would highly recommend
Thank you"

"My daughter and I are very happy to have Ian as her Maths tutor. Ian is punctual, patient and understanding. He has built
my daughter`s confidence in maths."

"Punctual and polite, full of praise for my 10 yr old, she is happy we are happy!,, thankyou Ian."

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Personal Description:
I am 28, currently working as a personal tutor.
My degrees in engineering have given me good problem solving skills and a good mathematical background. I enjoy tutoring, I have been teaching on one to one and group basis for a long time.

Teaching Experience:
Experienced in assisting students in improvement in maths, Physics, and also in civil and structure engineering.
I have had 21 student so far.
I have been teaching students from A-levels to university and with different backgrounds. I enjoy teaching and I am extremely patient.

Tutoring Approach:
A comprehensive approach to study ensures students are motivated and organised to benefit from all learning opportunities.

A range of materials is employed to stimulate interest and facilitate input.

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Personal Description:
I am British, and living in Hampshire. I am a qualified secondary school teacher in the UK (QTS, PGCE), and have taught Mandarin Chinese full-time in both the state and private sectors in the UK, at two schools leading the country in their Mandarin provision. I have passed the highest level exams in Mandarin Chinese (HSK level 6, and Advanced Speaking HSKK), and have lived in China for six years. I have just completed a Master's degree in the field of applied linguistics.

My Education background is as follows.

2016-2017: University of Southampton
- MA English Language Teaching.
- Specialism in motivation in online learning.
- Distinction level pass anticipated. To receive certificate in November 2017.

2014-2015: CfBT; University of Hull
- QTS (Qualified Teacher Status), with PGCE (Postgraduate Certificate of Education).

2002 - 2005: University of Durham
- First class honours degree: Politics BA.

1992 - 2002: Portsmouth Grammar School
- A levels: French A, Spanish A, Politics A, History A,
- GCSEs: 6 A*s. 3 As.

Teaching Experience:
2017 - 2020: LSI Portsmouth English Teacher
- Taught Exam preparation courses (IELTS, CPE) to foreign students.

2015 - 2016: Whitgift School Mandarin Teacher.
- Taught Mandarin and French to secondary school students aged 11 to 15 at one of the top schools in the UK.
- Offered a permanent contract at the school.

2014 - 2015: Bohunt School Trainee Mandarin Teacher (School Direct Salaried).
- Learned from Outstanding teacher at 2014 TES School Awards Overall
School of the Year.
- Taught Mandarin and French to secondary school students aged 11 to 13.

2010 - 2014: Guilin University of Electronic Technology (Guilin, China). TEFL English Teacher.
- Taught English to Undergraduate students majoring in Teaching Chinese as a Second Language.
- Prepared students for the IELTS examination.

2008 - 2010: Caterpillar Inc (UK). Purchasing Specialist (Graduate Trainee)

2007 - 2008: New Dynamic Institute (Chengdu, China). TEFL English teacher.
- Taught small groups of professionals in middle and senior management, both conversational and Business English, in an English training school.

2005 - 2007: Thames School of Languages (Huizhou, China). TEFL English Teacher.
- Taught primary and secondary school students aged 4 to 18 in an English training school.

Tutoring Approach:
My approach to tutoring is based on my own experience and academic research in the field of second language learning.

- I aim to foster and maintain motivation, through relating all topics directly to my students' everyday lives, experiences and opinions; and through providing instruction which is tailored to students' requirements.
- I aim to make my students feel comfortable through helping them to feel relaxed and providing as much linguistic support as is needed.
- I aim to increase my students' linguistic knowledge through using resources which are at a level just slightly beyond the student's current level, so that they are comfortable, but challenged.
- I am to promote skills development through developing comprehension skills (reading and listening), but also productive skills (speaking and writing).

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Personal Description:
My approach is to be friendly, supportive and professional when interacting with students. I encourage them to be proactive and resourceful in their approach to Maths, guiding them through the processes of learning to deepen their understanding and develop their thinking and problem-solving. Sessions are therefore individually tailored and flexible to meet the needs of the student, so are student-focused rather than traditionally teacher-led. I spend time getting to know my students and, whenever possible, encourage the practice of Maths skills within topic areas of personal interest to them or real life situations. I am a good listener and can empathise with my students, helping them to see areas for improvement in their work and offering practical advice and tips on how to develop it further. Ultimately, I aim to help my students fulfill their academic potential whilst also developing the range of skills needed to achieve their aspirations in life.

Teaching Experience:
Working in my professional career as a Maths Specialist in mainstream Primary Education, I am always keen to find a strategy that fits alongside what your child's school is providing to skeleton. This I do by studying materials your child brings home, observing strategies which your child uses and occasionally by speaking to schools to produce a bespoke medium of teaching that proves most effective for your child to enhance their mathematical ability and drive. I always believe lessons should be both educational and enjoyable to maintain engagement. There is a pleasure in self-improvement which I will want to build into your child so that they grow in self-confidence through learning.

Tutoring Approach:
Mathematics is a huge passion of my own and I have an ever-growing belief that regardless of what level children are at, with the correct guidance and the right attitude, success is always around the corner.

I have undergone extensive professional development training continuously for a number of years and counting, which ensures my skill-set is up-to-date with the Mathematics curriculum and is diverse and extremely effective.

I have privately tutored for 9 years as well as being employed professionally at a mainstream Primary School as a highly experienced Maths Specialist where my role is centered around working closely with individuals and groups of children from Year 1 to Year 6 of a variety of abilities, working in a variation of topics towards attainment. (Basic numeracy, problem solving, fractions/decimals, statistics/probability, algebra, geometry, entry-level maths).

I cannot help a student unless I know where they are in their understanding. I try to get my students to participate and be active as much as possible during lessons, often getting them to reason through problems and ideas themselves, while helping them along the way. This helps me understand their thought process, and lets me see any gaps they have in their knowledge. Since I pay attention to the student`s thinking, I can approach the lesson with the student him- or herself in mind, personalising it and consequently being more helpful.

My personal view is that being a teacher is crucial to being an effective tutor as I have first hand knowledge and experience of the curriculum and plentiful ways of teaching it effectively. I believe all children not only should access the curriculum but flourish beyond that with the right guidance to be progressive learners.

I have vast and varied experience and success of tutoring children for confidence, classroom support and entrance exams. I supply all of my own resources with a vast array of apparatus and prepare each tuition session beforehand, with homework.

If you feel I could help your child in enhancing their development in Mathematical ability or if you feel your child's potential is not being challenged enough at school then I would love to hear from you.

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Personal Description:
I am a Primary school teacher, who has 20 years of experience working across a variety of year groups and schools. I am currently teaching in Key Stage One, however I have lots of experience tutoring children from Reception to Year six.

Teaching Experience:
I have worked in a variety of schools ranging from an Infant and Nursery to a large Primary school.
I have a degree in Early Years Education in addition to Qualified Teacher Status (QTS).
I have had experience of tutoring children from EYFS to Key Stage 2.
I tutoring both English and Maths.

Tutoring Approach:
My approach is about personalising the teaching to meet the individual learners needs.

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Personal Description:
I am currently attending Cardiff University, where I have just finished my first year, studying Accounting. I am currently offering tutoring in Aylesbury, Buckinghamshire, until October.

I thoroughly enjoying helping people progress and sharing my love of learning! I pride myself on my enthusiasm and my approachable, relaxed nature.

Regarding what I am able to teach -
I currently am offering 11 plus tutoring as well as A Level Mathematics.
I offer C1, C2, C3, C4, S1 and S2 Mathematics modules, across all boards, as well as Biology A level topics, also across all boards. The exam board I took my own exams in was OCR MEI (for Mathematics) and OCR A for Biology.

I am aware the A Level syllabus has now changed from modular to linear, and have tutored a Year 12 student doing Mathematics under the new course. The content is very similar to previous years - it is just the style of the exam that has changed!

Teaching Experience:
I have taken on a number of leadership roles, both in school and in my freetime. I ran House Art, an intraschool competition, during Year 13, and held the rank of Corporal for the last few years of my time as a cadet as part of St John Ambulance.

Prior to going to university, I tutored two students in A level Mathematics (EdExcel and MEI OCR), who both achieved Bs, and one student in A level Biology (who achieved an A). While I have been in Cardiff, I have also been tutoring two students in A level Mathematics (both Edexcel).

Tutoring Approach:
I believe that a good teacher is vital for A level subjects such as Maths and Biology - otherwise it is easy to become lost in class and fall behind, which is where I hope to help! I am open to working with students in different ways depending on their requirements and how they work best, whether this involve helping with homework questions or teaching topics from scratch. I endeavor to establish a connection with students and am always contactable by text or email for help with questions or queries, over the week.

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Personal Description:
A Cambridge graduate and a very experienced maths tutor - with over twenty years of helping pupils to really understand what maths is and why it works. I am also a full time story teller and infuse my lessons with stories, that embed maths in its own history - and make the dry problems of today sing with the stories of the past.
I specialise is helping pupils to really understand how to use paper, and how being a mathematicians is like being an artists or a poet, it is a method of writing as much as a means of reckoning - and there are always more ways than one to under stand and draw a problem.

Teaching Experience:
And am a fully qualified maths teacher with for twenty five years experience in teaching kids in small groups and home education.

Tutoring Approach:
For so many maths can be so daunting. My approach always and at all elves is to demystify maths, and make it feel possible and fun. As such I use stories, I use rigours writing strategies, I use humour to allow my pupils to understand how maths made the modern world, and hw they are part of that story,

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Personal Description:
Hi my name is Tuba and I can confidently say that teaching SEN and working with students who have additional needs is my passion!

I am originally from Turkey and I came to England to pursue my dream as an SEN specialist. I studied MA Special Educational Needs and Inclusive Education at Manchester Metropolitan University.

Since I finished my masters degree in 2020, I have been tutoring several students with different needs around Manchester. Although I gained confidence and deeper knowledge within my studies, I was definetly missing out of the joy of teaching during my studies :)

Teaching Experience:
Teaching/Tutoring Experience

In 2014, I got my qualified teacher status as a Primary school teacher within 4 years of Bachelor's degree back in Turkey. The last 2 years of my studies was including teaching experience and I actively worked in several schools during this time as a teaching assistant as well as the main teacher. Prior to that, I had several 1-1 tutees since 2010 as the qualification that I was getting was in high demand! During my BA studies, I tutored more than 20 primary school students on a regular basis.

After I graduated in 2014, I started to work in a primary school for 6 months, then I decided to get trained in Special Needs Education as Special Needs support in Turkey is one-on-one basis. That's something that I realised during my education and work experience- I was enjoying and working the best if I was working 1-1 basis. Thus, I got trained by the Ministry of Education in Turkey as Special Needs Expert.

Between 2015-2018 I worked as a Special Needs Specialist (1-1 support) across several schools. I worked with more than 150 students who have ASD, ADHD, dyslexia, learning disabilities, down syndrome, multiple and profound learning disabilities, visual and hearing impairments. I worked with students from age 2 to 30. In the mean time, I topped up my knowledge studying 2 years foundation degree in Child Development to have more of a professional perspective on early years/Foundation stage.

In 2018, I moved to England to start my MA studies in Special Needs and carried on teaching 1-1 ever since I graduated in 2020.

I worked with several children/teenagers/young adults across Manchester within different settings. I got trained in Applied Behavioural Analysis/ABA and tutored in this area offering behavioural support alongside the academic support I have been offering.

I got regular students in Manchester , offering home schooling, pastoral and behavioural support on a regular basis. I have also offered short term interventions , behavioural/emotional support to students who have different needs during this period.

I offer online support as well as in person sessions if you are local to Manchester.

Should you require further information , please don't hesitate to get in touch.

Best wishes,

Tuba

Tutoring Approach:
Tutoring Approach

As an Inclusive Education graduate, my teaching approach is 'One size does not fit all!'. Meaning, we all have different needs -with or without- any labels.

For a start, I meet the parents to discuss their expectations and their desires for their children. Then, to go further - I would like to meet the students to briefly assess what they need or simply, to see if we get along. It is important to make a proper plan in accordance with the parents' expectations and children's need and suitability.

My motto is - you have to respect the children/young adults if you want them to respect you. Each child have things to teach you if you listen to them carefully.


You can get in touch with me for any services in relation to special needs from age 2-30.

Please contact me with any queries.


Thank you for your time :)

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Personal Description:
I am a full time Maths teacher at secondary school with a Mathematics BSc Degree. I really enjoy maths (yes this is a cliche), but I love the problem solving aspect of it and the fact there is a right or wrong answer. I always look to simplify problems and am only happy if I fully understand it. I am currently KS4 coordinator at my school and thoroughly enjoy my work and do not see myself doing any other profession.

Teaching Experience:
10 years at a secondary school teaching GCSE Foundation and Higher.
I also teach Maths A-Level (all) and Further Maths A-Level (Core Pure 1 and 2 and Further Mechanics 1). I used to teach the old spec Decision Maths 1 and 2, so am also to help with these too. I am also familiar with Further Pure 1, Further Statistics 1 and Further Mechanics 2 but do ask if you want to go through this, please give me 3 days notice to brush up on this as some of the chapters in these books I have not covered for a while as they are new to the A Level course. Other Chapters I am completely fine with.

Tutoring Approach:
I prefer a bespoke experience using mini whiteboards where I can tailor the questions to the pupils misconceptions and questions. All I ask is that the day before the session, you let me know what topics you would like to go through.

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Personal Description:
I am currently an academic tutor, a therapeutic tutor for special needs and an artist. I previously worked in software engineering after studying my integrated masters in computer science and mathematics at the University of Sheffield in which I achieved a 2:1. I have achieved excellent (A, A*) grades in my academic subjects at GCSE and A levels.

I have been tutoring for 8 years now since the age of 17. Having taught in many different environments to many students of a range of ages and abilities, I have great experience in adapting my teaching style to most benefit my students` learning. I am an approachable teacher who loves to teach and inspire students to learn and achieve their goals. For exam preparation I have particular techniques that have worked excellently for all my students. They have improved their skills, grade and also their confidence in the subject!

For examinations I am able to assist with 7+, 11+, 13+, SATs, GCSE, iGCSE, A Levels and I will follow the exam board specification that the student is taking (ie. OCR, AQA, Edexcel).

Teaching Experience:
- I have worked as a private tutor in Leicester, Sheffield, Nottingham, London and Taiwan over the last 8 years. I have had over 80+ students who have all achieved their desired grades. I have taught maths, english and computer science.
- I`ve worked at English Camps across Taiwan for 3 months, where I organised activities and taught english to groups of 15-20 students. I also lived with homestay families and and experienced taiwanese culture.
- During my time at University I led a volunteering learning activities project for a year. I arranged and led monthly activities for children aged between 8-12.
- I have worked as a teaching assistance at King Ecgbert School in Sheffield where I lead year 7, 9 and 11 maths classes. I also taught Cryptography lessons and taught lessons in small groups around class time.
- For two years I was a tutor at a First Class Learning tutoring company in Leicester where I taught english and maths from primary to secondary level including GCSEs in groups of 5.


A recent review:
"Annie was a fantastic tutor. She made sure I felt confident with the topic she was teaching me, which was so efficient and helped me a lot. In the sessions Annie helped me to understand the basics in more detail, which made things so much easier for me. Running over the easier stuff definitely made a difference as I saw my test results increase by time. Annie is a very supportive tutor who makes her students feel assured enough to say if they don't understand something or have a go answering a question. I would definitely recommend Annie to someone who is struggling with maths, as she helped me with my optimism towards the subject along with my knowledge on how to work things out." - Charlie

NOTE: I have a DBS check which I can show you.

Tutoring Approach:
- I make sure my students understand the foundations of the subject well such that they can transition into learning the advance content with confidence. Along side this my teaching approaches come from a well thought out psychological perspective; such that the students feel motivated, not let down by mistakes, enjoys learning, learns how to use their strengths, and how to identify their weaknesses.

- I will also prepare my students for sitting exams and applying exam techniques so that they feel mentally ready to sit their exam(s) and in turn are able to achieve the best grade.

- I will be available to the student outside the tutoring session time for any subject related questions they may have.

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Personal Description:
hello,

I'm a student in the University of Greenwich.I'm doing my BA Hons business management degree and I'm in the last year. I always loved studying business studies and maths. O levels and A levels business studies is on my finger tips as I have a passion to do business in future. I'm very sharp at primary Mathematics loved Algebra in junior school. I'm looking for earning some extra money and I think this is the best way of doing earning it as I can spread knowledge help others and simultaneously earn some money as well.

thanks.

Teaching Experience:
I do not have a formal teaching experience, though i have tutored my younger brothers and substituted classes in my school. where teachers gave us the opportunity to teach a a group of junior students in school break clubs.

Tutoring Approach:
I focus on making my student understanding the concept and on his or her weakness. I create very friendly environment where students can be feel comfortable and share their problems regarding the subject.

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Personal Description:
I graduated in 2020 with a Diploma of Higher Education in Mathematics from Heriot-Watt University. Since graduating I have been working as a Data Analyst, using problem solving and mathematical logic every day.
I have taught myself how to code in various languages, such as R and SQL. I love mathematics and statistics and I look forward to using this passion to help others.

Teaching Experience:
I have tutored family and friends to achieve their National 5 and Higher qualifications.
In my current and previous roles, I have trained new starts, which requires teaching a lot of specific industry knowledge in a small amount of time. I pride myself on being very patient, passionate and understanding.

Tutoring Approach:
My biggest aim when tutoring is to install confidence in a tutees ability in mathematics and help them reach their qualification goals. I believe that a motivated and willing tutee can achieve any goal with some one-to-one help.

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Personal Description:
Hello!

My name is Kyriacos and I am originally from Cyprus but have been living in the UK for the past 12 years. In my day job I am a Chartered Electical Engineer and I love to teach Greek/Cypriot as a part time role, which I have been doing for a few years now.

I love to travel, learn about the world and expirience new cultures, I also love sports and music.

Teaching Experience:
I have a few years of experience in teaching Greek to casual learners, whether their goal is to be able to order some food in a restaurant or interested in learning the language more in depth.

I am comfortable with teaching students with no previous experience, advanced students and anything in between.

I look forward to helping you achieve your goals!

Tutoring Approach:
I am a dedicated person with adjustable approach to suit your learning requiements.
I have a well structured material, put together from numerous rescources and is based on a practical approach.
I aim to adjust the lesson structure and delivery based on your needs/requirements such as to create the right learning enviroment.

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Personal Description:
I am Samson Shaji. I worked as Technology Analyst(Azure AI Engineer) in INFOSYS for last 3.8 years. Now I am student of MSc iin Computational Mechanics at Swansea University, Swansea, Wales. I love to understand and know about the laws of universe which is written in the language of mathematics as Galileo Galilei says- "The book of nature is written in the language of mathematics". So I try to understand the approach of scientists to learn about the unreasonable effectiveness of Mathematics. I would like to share the understanding of the mathematics to others as I also have the passion to teach others and explain the mystery of mathematics in an understandable manner.

Teaching Experience:
While I was working as Technology Analyst( Azure AI Engineer) in INFOSYS, I used to be a Maths and Physics tutor. Since I have a passion to teach other, I got many students of 11-18 years.

Tutoring Approach:
I use the practical approach of tutoring Maths as every chapter has its physical significance and relevance. So the approach would be to understand the problem of the student and to address it practically and conceptually. Thereby solving the problems or mistakes that the student is keen to make.

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Personal Description:
Anum
Age 35 years

Teaching Experience:
Full time university lecturer 2017-2023

Tutoring Approach:
Interactive
Participative
Slides
Lecture material

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Personal Description:
I have grown up studying the art of teaching and how students learn well. I have a broad education and can talk about ancient history, the elements of classical music, Latin texts, Jane Austen and Charles Dickens, Italian literature, and of course anything to do with maths and numbers.

I achieved an A1 in maths and was in the top 2.5 percentile for my year for Leaving Certificate (a broader A Level equivalent) reflecting my abilities in both maths and exam preparation.

Teaching Experience:
I have regularly taught in different ways while reading maths and Italian at Trinity College Dublin and have since started a PGCE teacher training course in maths. During my training I have gained extensive experience delivering lessons via OneNote and Microsoft Whiteboard via tablet and smart board, equipping me for effective online teaching of maths.

I already have experience teaching a weekly class of 10 young teenagers Latin as well as tutored maths, Music, and Latin to different ages and types of students. I'm a patient and considerate teacher and hope to bridge the gap that often plagues students in mathematics. I promise to be a good tutor and guide during some of the most formative and decisive years of your life.

Tutoring Approach:
My focus is on building the skills and concepts learnt at school through one-to-one 45-minute tutoring/grinds or small group lessons.

I aim to give an individual-focused approach. The lessons will focus on student's previous work and aim to improve skills and concepts already established. Great effort will be given to finding real world examples to motivate the exercises and to grasp or master a topic. The student will be encouraged to work out exercise in the tutor's presence and correct flaws or improve methods themselves.

I am willing to meet in Canterbury or give online lessons via Microsoft Apps such as OneNote, Whiteboard, and Teams.

I cover the GCSE curriculum as well as the pure Maths and Statistics aspects of A Level.

I am also available for university maths for 1st year and general maths tutoring for STEM subjects.

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