Online Maths Tutor Mel

EXPERIENCE & SKILLS

2500+ total hours of maths tutoring experience over 2 years tutoring full-time and 8 years tutoring part-time.
Online 1-1 tutoring experience predominantly, in which I became proficient using video-conferencing, digital pen and digital classroom technologies to maximum efficiency.
Students range widely in achievement levels and socio-cultural backgrounds, from disadvantaged GCSE re-takers to Oxford undergraduates, adult learners, and everything in between.
Includes 800+ hours and 40+ students with The Profs/Spires alone.

Summary by level:
* Secondary, GCSE ~ 600 hours
* A-level, IB~ 900 hours
* University ~ 1000 hours

TEACHING STYLE

Ultimately, my approach with each student will be highly personalised and collaborative, tailored to their needs and preferences. That is the beauty of tutoring. However, here is what students and I find typically effective:

Content - The essential for the exam. 90% core exercises and exam-style problems, drawing on theory only for its applications. Even in a proof-based university module, special attention is paid to the ideas and problem-solving methods key to the course and most relevant to the exam.

Communication style - I create a friendly and safe environment for students to express their concerns and ideas. In addition to the usual formalism intuitive interpretations of concepts are offered through visualisation and analogy. I aim to be as revealing and as possible about the clues, key insights and problem-solving strategies I use to slowly take down problems that at first glance appear daunting.

Reinforcement and assessment - I will regularly set relevant and appropriately challenging homework and ask to submit it for discussion at the beginning of the next lesson. I repeatedly stress the importance of independent, focused practice and repetition. Something is not learned until it is mastered, with no outside aid needed, as required for the exam. This is crucial.

Generally, anything mathematical up to Masters level is welcome. But here is a NON-EXHAUSTIVE list on common topics, tests and institutions with which I have experience.

- SECONDARY -

GCSE with all exam boards: Edexcel, AQA, WJEC.
Cambridge iGCSE.
Admission tests: 11+, 13+, 16+.
Competition papers: UKMT Maths Challenges, Kangaroos, Olympiads.

- SIXTH FORM/HIGH SCHOOL -

A-level Maths/Further Maths. Pure, Mechanics, Statistics, Decision. All exam boards: Edexcel, AQA, OCR, WJEC.
IB AI/AA SL/HL.
French Baccalaureate.
Admissions tests: MAT, STEP, TMUA, ESAT, PAT.

- UNDERGRADUATE -

Universities: Oxford, UCL, King's, Warwick, Durham, St Andrews, LSE, Bristol, Bath, Manchester, City, Leeds, QMUL, Kent.

Subjects:
*Analysis: Real Analysis, Complex Analysis, Metric Spaces, Fourier Analysis, Measure Theory, Lebesgue Integration, Functional Analysis.
*Algebra: Linear Algebra, Group Theory, Ring Theory.
*Geometry: Euclidean and Non-Euclidean Geometry, Fractal Geometry.
*Discrete: Number Theory, Graph Theory, Combinatorics.
*Calculus: Vector/Multivariable Calculus, Ordinary Differential Equations, Partial Differential Equations
*Probability and Stats: Intro to Probability & Statistics, Random Processes, Inference.