Tutor Profile

Danny

Private Maths and Further Maths Tutor in Manchester

I am a secondary mathematics PGCE trainee at the University of Manchester, with a First Class Master’s degree in Mathematics and several years of experience tutoring GCSE and A-Level students.

As part of my PGCE training, I currently teach mathematics in Manchester secondary schools, giving me up-to-date classroom experience across KS3 and KS4. I particularly enjoy helping students build secure foundations in number, algebra and problem solving, as these are often the areas that unlock confidence and progress across the rest of mathematics.

Before teacher training, I worked as a software engineer. This strengthened my ability to explain abstract ideas clearly, solve problems systematically and communicate with different audiences. I bring that same structured approach to tutoring: I want students to understand the mathematics, not just memorise procedures.

I can support KS3 Mathematics, GCSE Mathematics, GCSE resit preparation and A-Level Mathematics.

Teaching Experience

I have tutored GCSE and A-Level Mathematics since 2018, supporting students with a wide range of goals: improving confidence, preparing for exams, moving from foundation to higher tier, securing key algebra and number skills, and developing stronger problem-solving strategies.

I am currently completing a Secondary Mathematics PGCE at the University of Manchester. My school placements have given me experience teaching KS3 and KS4 classes, planning sequences of lessons, using questioning and mini-whiteboards to check understanding, responding to misconceptions, and supporting pupils with different levels of confidence and prior attainment.

I have also worked as a Mathematics Graduate Teaching Assistant at the University of Manchester, supporting undergraduate Probability tutorials, and previously volunteered with the Coronavirus Tutoring Initiative.

Tutoring Approach

My tutoring style is calm, focused and diagnostic. I try to understand exactly where a student is getting stuck, then rebuild from that point using clear explanations, carefully chosen examples and low-pressure practice.

I do not just show students a method and ask them to copy it. I want them to understand why the method works, how to recognise when to use it, and how to avoid common mistakes. I often use contrast examples, worked examples, retrieval practice and exam-style questions to strengthen both understanding and fluency.

I am happy to support students aiming for high grades, as well as those who feel anxious, behind or lacking confidence in maths. My aim is to help students become more independent, more accurate and more confident.

Availability

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Qualifications

QTS

QTS · Department for Education · 2026

MMath Mathematics

Masters · University of Manchester · First class honours · 2021

Reviews

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First Tutors

We’re really happy with Danny as a maths tutor for our 12 year old daughter. He goes at a pace that is right for her, and she likes the fact that he asks her questions, rather than telling her the answers! He’s a super nice guy, punctual, great communication, and our daughter is already feeling the benefit of his tutoring.

First Tutors

Danny is a great tutor, he has helped my daughter prepare for her GCSE Maths and I can see he is adding real value. He is easy to relate to and makes the lesson relaxed and enjoyable. He is courteous, articulate and always on time. He is flexible and always happy to accommodate lessons around my busy schedule which is very much appreciated. I would recommend Danny.

First Tutors

Knowledgeable in maths however not right for me unfortunately...

First Tutors

Danny helps my son in year 11 prepare for GCSEs as we moved from abroad in year 11 and he had missed out year 10. They are following the the AQA exercise book and lessons and he is brillant at explaining the lessons, the concepts, how to complete the exercises and problems. He stepped in a few weeks before the mock exams and has allowed my son to achieve a very respectable grade in maths. I strongly recommend Danny to help out with maths

First Tutors

Danny is patient and encouraging. He explains maths solutions clearly and logically. The online sessions are really convenient and have been so easy to set up. We didn’t need any special equipment. Danny is an excellent maths tutor. Thank you!

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Tuition onlineTuition at tutor's homeDBS checkedTuition at student's home (Travels up to 5 km)
  • This tutor has a verified QTS qualification
  • The highest level of qualification that this tutor has provided us with a copy of is a Masters (or equivalent)
  • This tutor has an average feedback rating of at least 4.25/5 from 5 or more reviews.
  • This tutor has a history of responding quickly (avg < 6h)
  • This tutor is a Teacher (self-declared)
  • This tutor is happy to teach online
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