Philosophy & Methodology
Cambridge Mathematics Admissions
I. Philosophy
Why tutor with me/My approach: By solving problems together and analysing/understanding deeply famous theorems and proofs across a range of topics and across a range of problem 'sizes', I give you insight into the process of mathematical discovery, so that you can harness that skill yourself, and become a mathematician or physicist. It is by becoming the mathematician or physicist that you can conquer the Cambridge admissions process as a byproduct.
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Cambridge or top university success is a byproduct of making the process of mathematical discovery/the way in which research is done in academia a natural part of the way you learn mathematics while still in school.
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No question left unanswered, no confusion left unresolved, no problem left unattended, no concept left unexplained. No area left unsupported(even if not mathematics).
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Qualities of a suitable mathematics candidate - the full-package candidate who is already a mathematician.
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Your view of the current problem is defined by what was revealed to you in previous problems.
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Speed and memory as a byproduct of passion and intensity of interest in Mathematics.​​
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Different modes of support for different student archetypes​
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Ask yourself basic questions all the time. The question of 'Haven't you thought about this?' and how it relates to preparing for Cambridge interviews.
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Mathematics is a bit like a sport and how this relates to drilling exercises, practice, consistency and memory.
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Your brain must go through the motions.
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My view on different student abilities - it is all down to doing honest work.
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II. Methodology
Resources
Recommendation Spreadsheet
Mathematics Subject Suitability List
List of Interesting Mathematics
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Network Connections
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Workflow
Lesson Summaries
Quarterly/End-of-Year Report and Further Recommendations
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Referral Scheme
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Workouts
Mathematical Workouts - Integrals
Ask yourself 20 mathematics questions a day and answer them - just go for the most basic questions based around what you've learnt so far even if you know the answer so your brain goes through the motions
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Referral Scheme
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Workouts
Mathematical Workouts - Integrals
Ask yourself 20 mathematics questions a day and answer them - just go for the most basic questions based around what you've learnt so far even if you know the answer so your brain goes through the motions
My
Methodology
My violin teaching methodology is rooted in the techniques passed down from my mentors, many of whom are inspired by Ivan Galamian, the renowned teacher of many famous violinists, such as Itzak Perlman and Dorothy DeLay. We will employ his scales practice regime, complemented by Kreutzer studies and eventually Paganini caprices, to build a robust technical foundation to enable students to eventually play the most technically demanding pieces in the violin repertoire.
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For Cambridge Mathematics Admissions, preparation will involve conducting a series of mock interviews or exams using questions from my personal question bank, depending on which stage of the admissions process the student is currently working on. In the case of interviews, I will ensure that our mocks align with the format of the student's specific college. All of this is supplemented with general advice on stress management and confidence building, ensuring students are well-prepared for their big day.
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For software career mentorship, the method here is flexible and adaptive, primarily conducted through question-and-answer sessions tailored to my clients' specific needs. Drawing from my 4+ years of experience in the software industry, including roles at JP Morgan, AWS, and startups, I provide practical, actionable advice to help my clients navigate and succeed in the tech landscape.