Mathematics Education
Qualification(s) available: PhD
- Entry requirements
- 2:1+
- Fees for 2025-26 (per academic year)
-
(Self-funded)UK: £5,006International: £22,360
- Fees for 2026-27 (per academic year)
-
(Self-funded)UK: £5,006International: £23,100
- Fees
-
(Self-funded)Dependent on start date. See below.
- Full-time
- 3 years
- Part-time
- 6 years
- Start date
- 1 January, 1 April, 1 July or 1 October
- Location
- Loughborough
- Subject area(s)
- Mathematics Education
Overview
The Department of Mathematics Education is one of the largest mathematics education research groups in the UK. Our research focuses on three areas: Mathematical Cognition, Education Design and Evaluation, and Higher Education Pedagogy. We explore the fundamental processes involved in learning mathematics, as well as the design and evaluation of innovative pedagogy.
In the Research Excellence Framework 2021, 83% of our research activity was judged to be ‘world-leading’ or ‘internationally-excellent’. Academics from the Department have won national and international awards for their research and research-informed teaching practices. They connect with other specialists throughout the UK and run monthly seminars and workshops, attracting academics and researchers from across the region, which you will benefit from as a student, along with our reading group sessions.
We attract an increasing amount of external funding for our research with grants from, for example, the ESRC, the Royal Society, the Nuffield Foundation, the British Academy, Action Medical Research and the HE STEM programme. Notable recent funding successes include the Centre for Mathematical Cognition which was established in 2019 with a £7.2m ‘Expanding Excellence in England’ grant from Research England and the Centre for Early Mathematics Learning which is funded by a £9.8m ESRC Centre grant.
The Department is responsible for the University-wide Mathematics Learning Support Centre, which provides mathematics and statistics support to all students. In addition, one-to-one support for students at all levels of study is provided by Mathematics Education staff and colleagues in the Department of Mathematical Sciences. The Statistics Advisory Service is a specialist service which is in great demand, providing support for final-year project students, postgraduates and staff requiring help with statistics.
The Department of Mathematics Education is proud to be part of the ESRC Midlands Graduate School Doctoral Training Partnership (DTP) in partnership with the universities of Warwick, Nottingham, Birmingham, Aston and Leicester.
Our research
Research in the Department explores the fundamental processes involved in learning mathematics, and analyses pedagogical practice including teaching, learning and assessment.
Mathematical Cognition
Mathematical cognition research focuses on understanding the processes by which students come to understand mathematical ideas, with a view to improving educational practice, and we have a particular reputation for our work on numerical cognition and mathematical reasoning.
In 2019 funding from Research England allowed us to establish a new Centre for Mathematical Cognition, with dedicated staff, refurbished labs and new research equipment. As a result, we now host one of the largest mathematical cognition research groups in the world.
Visit the Centre for Mathematical Cognition website for more information.
Education Design and Evaluation
Our research in this area aims to design, develop and evaluate pedagogical interventions, based on a rigorous understanding of students’ learning processes. We research how mathematics tasks, lessons and curricula may be designed and implemented in classrooms in schools and colleges to support students’ learning of mathematics. We also contribute to debates across education about the ways in which evidence can and should inform practice. Notable recent projects in this area have included a systematic evaluation of how much new information is provided by rigorous large-scale randomised controlled trials, of the type commissioned by the Education Endowment Foundation and the National Centre on Education and the Economy.
Higher Education Pedagogy
We have a long history of researching mathematics education at a university level and have expertise in a broad range of areas relating to the analysis of teaching and learning of university mathematics. This includes different approaches to assessment, the measurement of conceptual understanding, mathematical reasoning development and expert mathematical practice. Notable recent projects in this area have investigated the extent to which post-compulsory mathematical study develops general reasoning skills (funded by the Royal Society), and student difficulties at the transition to higher education (funded by Higher Education Funding Council for England).
Your development
Research in the Department continues to grow from strength to strength. As a PhD student in the centre you will address many aspects of mathematics education in a rich, innovative environment in which to conduct doctoral research.
In addition to this, postgraduate students become part of a vibrant research community with award-winning academic staff who are involved in collaborations and connections with other specialists across the country and run monthly research workshops, attracting academics and researchers from across the region.
Your research will be supported by a supervisor (sometimes two) who will guide you through the research process and you will have full access to all research facilities, as well as the University's extensive library and IT services, including dedicated resources for the School of Science. You will also be supported by the administrative staff of the School.
At Loughborough University you will become part of our Doctoral College and benefit from an extensive doctoral training programme, alongside our suite of activities designed to support you at every stage of the doctoral process. Links with other specialist support services across the University, such as the Careers Network, will give you access to help and advice and work with colleagues across academic schools to attract external funding to support doctoral study.
In addition to the University’s extensive training provision, we also provide departmental seminars and training courses to support your research, and students may be able develop their skills further by supporting undergraduate teaching or drop-in sessions.
Your future career
A PhD programme will give you the opportunity to develop new and highly sought-after skills which can set you up for a range of careers. It’s a chance to make a novel contribution to knowledge, to become a world expert in a particular field, and it can open a range of doors with different employers. You'll also enhance your interpersonal skills, such as networking and relationship building, which will be invaluable in your future career.
Our extensive training provision, supported by the Doctoral College, will also enhance your skills and experience as a researcher. You will enjoy a dynamic research atmosphere with regular workshops, international visitors and a wide range of research seminars to which you’ll be invited to make presentations.
Where you'll study
Our facilities are set within the refurbished Schofield building at the heart of the Loughborough campus. These include the Schofield Cognition Lab: a child-friendly laboratory for conducting experimental or observational studies with young children, and an eye-movement lab equipped with a state-of-the-art eye-tracker.
Entry requirements
Our entry requirements are listed using standard UK undergraduate degree classifications i.e. first-class honours, upper second-class honours and lower second-class honours. To learn the equivalent for your country, please choose it from the drop-down below.
Entry requirements for United Kingdom
A minimum of a 2:1 honours degree (or equivalent international qualification) in mathematics, education, psychology or a related discipline.
It would be an advantage in some cases to have a master's in mathematics education, educational/psychological research methods or in a related discipline.
Afghanistan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Masters | 95% | 85% | 70% |
Albania
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diplomë e Nivelit të Pare (First Level (University) Diploma (from 2010) | 9.5 | 8.5 | 8 |
Algeria
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licence (4 year) / Diplome d'Inginieur d'Etat / Diplôme d'Etudes Supérieures | 16 | 14 | 12 |
Argentina
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciatura/ Licenciado (4 year) | 8.5 | 7.5 | 6.0 |
Armenia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bakalavri Kochum required but typically a Magistrosi Kochum | 90% or 3.9 | 80% or 3.5 | 70% or 3.0 |
Australia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Honours degree (AQF level 8) | First Class, 80% | Upper Second, 70%, H2A | Lower Second, 60%, H2B |
| Ordinary degree - AQF Level 7 pass (mark 46 or 50) | High Distinction (80% or 85%) | Distinction (75% or 80%) | Distinction (70% or 75%) |
Austria
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Degree / Diplomstudium / Fachhochschuldiplom (Diplom (FH)) | A (or 1.5) mit Auszeichnungbestanden | 60% / B / (or 2) | 60% / B / (or 2) |
Azerbaijan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bakalavr Diplomu/ Diplomu (Specialist Diploma) | 4.5 or 90% | 4 or 80% | 3.5 or 70% |
Bahamas
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Degree from University of the West Indies only | 1st (GPA 3.6) | 2:1 (GPA 3.0) | 2:2 (GPA 2.5) |
Bahrain
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.5 | 3.0 | 2.8 |
Bangladesh
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 Year Bachelor of Science in Engineering (IEB and BAETE accredited courses up to 2024) Any 4 year Bachelor degree or BSc in Nursing (2025 onwards) |
1st (70%) / 3.5 | 2nd (60%) / 3.0 | 2nd (55%) / 2.75 |
| Masters (1-2 years) following a 3 or 4 year degree | 80% / 4.0 | 65% / 3.25 | 50% / 2.5 |
Belarus
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Specialist Diploma (5Yr) | 9 | 7 | 5 |
Belgium
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor degree/Licenciaat/Licencie | 80% or 17 | 70% or 14 | 60% or 12 |
Belize
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Degree from University of the West Indies only | 1st (GPA 3.6) | 2:1 (GPA 3.0) | 2:2 (GPA 2.5) |
Benin
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Maitrise | 18 | 15 or Bien | 12 or Assez Bien |
Bermuda
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Degree from University of the West Indies only | 1st (GPA 3.6) | 2:1 (GPA 3.0) | 2:2 (GPA 2.5) |
Bolivia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| A Licenciado, 4 years Private (public/private) | 85/78 | 75/66 | 67/55 |
Bosnia and Herzegovina
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diploma Visokog Obrazovanja / Diplomirani | 10 | 9 | 8 |
Botswana
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Master's degree | A or 80% | B or 70% | C or 60% |
Brazil
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Brazil - 4 yr Bacharel or Licenciado/Licenciatura or Título Profissional | 8.5 | 7.5 | 6.5 |
Brunei
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Brunei | First | Upper Second (60%/B/3.1) | Lower Second (50% or C or 2.5) |
Bulgaria
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 5 yr Diploma za Zavarsheno Visshe Obrazovanie (Diploma of Completed Higher Education) | 6 | 5 | 4 |
Burundi
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Masters or Diplôme d'Études Approfondies or Diplôme Ingénieur (professional title) | 18 | 15/20 (Bien) | 12.5/20 (Assez Bien) |
Cambodia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Masters | 80% or B+ or 3.5 | 70% or B or 3.0 | 60% or C+ or 2.5 |
Cameroon
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor degree or Diplome d'Etudes Superiures de Commerce or Diplome d'Ingenieur or Diplôme d'Ingénieur de Conception or a Maitrise, 4 year Licence or Master 1 (M1) | 1st / 3.6 or 15/Tres Bien | 2:1 / GPA 3.0 or 14 / Bien | 2:2 / GPA 2.5 or 12.5/ Assez Bien |
Canada
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0/Percentage | 3.7/85% | 3.3/75% | 2.7/68% |
| Out of 9 | 8 | 6 | 5 |
| Out of 12 | 10 | 8 | 6 |
Chile
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Grado de Licenciado / Título (Profesional) de [subject area] (4 years) | 6 | 5.5 | 5 |
China
Students are required to have a bachelor degree (4 years) for entry to a postgraduate programme. The University uses the Shanghai Academic Ranking of World Universities to identify the required final mark, as outlined on the table below:
| First class (70%) | Mid 2:1 (65%) | 2:1 (60%) | Mid 2:2 (55%) | 2:2 (50%) | |
|---|---|---|---|---|---|
| Shanghai Rank Top 250 | 80% | 76% | 72% | 70% | 67% |
| Shanghai Rank 251-500 | 83% | 79% | 75% | 73% | 70% |
| Shanghai Rank 501+ | 86% | 82% | 79% | 77% | 75% |
Affiliated colleges
The University will consider students from Affiliated Colleges in the following way:
Applicants from colleges affiliated to universities in the top 250 Shanghai rankings will be considered if they have achieved or are likely to achieve final marks of 67%-80%.
Applicants from colleges affiliated to universities which are 251-500 in the Shanghai rankings will be considered if they have achieved or are likely to achieve final marks of 70%-83%.
Applicants from colleges affiliated to universities which are above 500 in the Shanghai rankings will be considered as follows if they have achieved or are likely to achieve final marks of 75%-86%.
Universities given special consideration
Applicants from a small number of Chinese universities that specialise in business, management, finance or creative arts will be given special consideration by the University. The full list of these universities and the Shanghai band under which they will be considered can be found below:
*Special consideration for programmes in School of Sport, Exercise and Health Sciences and Institute for Sport Business only.
Colombia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciado / Título de [subject area] | 4.5 | 3.75 | 3.2 |
Costa Rica
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciado | 9 | 8 or 80 | 7 or 75 |
Croatia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Baccalaureus / Prvostupnik | 4.5 | 3.8 | 3.0 |
Cuba
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4-year Titulo de Licenciado / Licenciatura | 5 | 4 | 3 |
Cyprus
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Cyprus | 8.5 | 7.0 | 6.5 |
Czech Republic
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bakalár (after 2001) 6 yr integrated Magistr | 1 | 1.5 | 2 |
Denmark
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 5 year Candidatus/Candidata Magisterii or Bachelor degree (7 point scale) | 12 | 10 | 7 |
Dominican Republic
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 year Licenciado or Título de [subject area] | 3.8 | Magna Cum Laude or 3.5 or 85% | Cum Laude or 3.2 or 82% |
Ecuador
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Título de Licenciado / Título de [subject area] | 8.5 / 85% | 8 / 80% | 7 / 70% |
Egypt
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Egypt | 3.5 | 3.2 | 2.8 |
| Universities only | BA 90%, BSc 85% | BA 80%, BSc 75% | BA 65%, BSc 65% |
El Salvador
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 5 year Licenciado, Título de Ingeniero/Arquitecto | 8.5, 85% | 7.5, 75% or Muy Bueno | 6.5, 65% or Bueno |
Estonia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bakalaureusekraad or Magister or Magistrikraad | 5 or 91% or A | 4 or 81% or B | 3 or 71% or C |
Ethiopia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Masters (up to 2025) | A / GPA 4.0 | A / GPA 3.5 | B / GPA 2.8 |
| 4-year Bachelor degree with thesis (from 2024) | A / GPA 4.0 | A / GPA 3.5 | B / GPA 2.8 |
| 5-year Bachelor degree (from 2025) | A / GPA 4.0 | A / GPA 3.5 | B / GPA 2.8 |
Finland
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Kandidaattii/Kandidat or the Maisteri/Magister | 3 (out of 3) or 4.5 (out of 5) | 2 (out of 3) or 3 (out of 5) | 1 (out of 3) or 2.5 (out of 5) |
France
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licence (3 years)/ Maitrise/ Diplôme d'Ingénieur | 14 | 13 | 11 |
Georgia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4-year degree (% = new system) | 5 (95%) | 4.0 (85%) | 3.5 (75%) |
Germany
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| German Bachelor/ Diplom, Magister Artium / Zeugnis über den Zweiten Abschnitt der Ärztlichen Prüfung | 1.5 | 2.5 | 3.0 |
Ghana
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Ghana | 65% / 3.4 GPA | 57% / 3.0 GPA | 50% / 2.5 GPA |
Greece
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Universities | 8.5 | 7.0 | 6 |
| TEI and non-University Institutions | 8.5 | 7 | 6.5 |
Grenada
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Degree from University of West Indies - classification | 1st, 70% (GPA 3.6) | 2:1, 60% (GPA 3.00) | 2:2, 50% (GPA 2.5) |
| Degree from University of West Indies - grade / percentage | A | B / 75% | C / 55% |
| Degree from University of West Indies - GPA | 3.6 | 3.0 | 2.0 |
Guatemala
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Liceniado / Titulo de (subject area) - 4 years | 90% (public university) / 95% (private university) | 80% (public university) / 85% (private university) | 60% (public university) / 70% (private university) |
Guyana
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Master's | GPA 4 | GPA 3.5 | 3.0 |
Honduras
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Título de Licenciado / Grado Académico de Licenciatura (4 year degree) - GPA out of 5 | GPA 5 or 90% | GPA 4 or 80% | GPA 3.5 or 70% |
Hong Kong
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 1st or 3.5/4 | 2:1or 3/4 | 2:2 or 2.5/4 | 2.5 |
Hungary
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Alapfokozt or Egyetemi Oklevel / Bachelor | 4.5 | 3.5 | 3 |
Iceland
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Baccalaurreatus degree or Kandidatsprof/Candidatus Mag | 8.5 | 7.5 | 6.5 |
India
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Institutions listed on the National Institutional Ranking Framework | 61% | 55% | 50% |
| All other Indian institutions | 68% | 62% | 57% |
Indonesia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Sarjana I (S1) from accredited Universities | 3.2 | 3.0 | 2.8 |
Iran
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Iran | 17 | 15 | 13 |
Iraq
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Iraq | 80% | 75% | 70% |
Ireland
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Republic of Ireland | First (70%) | Upper second (60%) | Lower second (50%) |
Israel
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 3 yr Bachelor Degree | 90% | 80% | 70% |
Italy
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diploma di Laurea | 109/110 | 100/110 | 90/110 |
Ivory Coast
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diplome d'Etude Approfondies, Diplome d'Etude Superieures or Diplome d'Etude Superieures | 16 | 14 (Bien) | 12 (Assez Bien) |
Jamaica
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| For degrees studied at The University of West Indies or degrees accredited by UCJ and CCCJ | 1st (GPA 3.6) | 2:1 (GPA 3.0) or B | 2:2, 50% (GPA 2.5) |
Japan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Gakushi – GPA 4.0 scale | 85% or A or 3.5 | 80% or B or 3.0 | 70% or C or 2.0 |
Jordan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.5 | 3 or 3.5/5 or 75% | 2.5 (or 3.0/5) / 63% |
Kazakhstan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 5.0/percentage scale | 4.5 or 90% | 4 or 85% | 3.5 or 80% |
| GPA 4.33 scale | 3.9 | 3.7 | 3.2 |
| GPA 4.0 scale | 3.7 | 3.4 | 3 |
Kenya
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Kenya | First / 70% / A | Upper second / 60% / B | Lower second / 50% / C |
Kosovo
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Kosovo | 10 | 9 | 8 |
Kuwait
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.6 | 3.0 | 2.6 |
Latvia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Latvia | 9 | 7 | 6 |
Lebanon
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| American | 85% (3.5) | 75% (3.0) | 62% (2.6) |
| French | 18 | 15 | 12 |
Liberia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Master's | 4.0 or 90% | 3.5 or 85% | 3 or 80% |
Libya
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| BSc Engineering, Architecture, Medicine | 85 (3.6) | 75 (3.0) | 65 (2.5) |
| Other bachelor's degree from a university | 90 (4.0) | 85% (3.6) | 75% (3.0) |
Lithuania
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Lithuania | 9 | 8 | 7 |
Luxembourg
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Luxembourg | 18 (excellent) | 16 (tres Bien) | 14 (bien) |
Macau
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Macau | 1st or GPA 3.7 | 2:1 or GPA 3.0 | 2:2 or GPA 2.5 |
Macedonia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Magistar Дипломиран / Баццалауреус / Баццалауреа (Bachelor degree) | 10 | 9 | 8 |
Malawi
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Master's only | MSc 75% | MSc 70% | MSc 65% |
Malaysia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Classification | First Class | 2.1 | GPA 2.5 |
| GPA 4.0 scale | 3.5 | 3.0 | 2.8 |
Malta
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Malta | 1st (80%) | 2:1 (70%) | 2:2 (55%) |
Mauritius
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Mauritius | 1st or 70% | 2:1 or 60% | 2:2 or 50% |
Mexico
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciatura / Licenciado/ Título (Profesional) de [subject area] | 8.5 | 8 | 7 |
Moldova
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diploma de Licenţă (Diploma of Licentiate) | 9 | 8 | 7 |
Mongolia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Диплом Специалиста (Specialist Diploma) | 90% or 3.5 | 80% or GPA 3.2 | 70% or GPA 3.0 |
Montenegro
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diploma of Completed Undergraduate Studies or Diploma of Professional Undergraduate Studies | 10 (or 5.0) | 9 (or 4.5) | 8 (or 4.0) |
Morocco
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diplôme d'Ingénieur d'État, Diplôme d'Écoles Nationales de Commerce et de Gestion, Licence / Licence d'Études Fondamentales / Licence Professionnelle | 16 | 14 | 12 |
Mozambique
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Mestrado/ Grau de Mastre | 16 | 14 | 12 |
Myanmar (Burma)
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 2 year Master's degree | 5 or 85% | 5 or 75% | 4.5 or 65% |
Namibia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4-year Bachelor Honours (post 2008) or Masters | 80% or A | 70% or B | 60% or C |
Nepal
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 -year professional degree or Masters (after 3-year Bachelor degree) | 80% or 3.7 GPA | 65% or 3.3 GPA | 60% or 3.0 GPA |
Netherlands
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Netherlands | 8 | 7 | 6 |
New Zealand
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 Year Honours degree (480 credits) - Level 8 | First (7.0) | Upper Second (6.0) | Lower Second (4.0) |
| 3 Year degree (360 credits) - Level 7 | A+ (9.0) | A- (7.0) | B+ (6.0) |
Nicaragua
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciatura (4 year) | 90% | 80% | 70% |
Nigeria
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 7 point Scale | 6 | 5 | 3.0 (on 5 point scale) |
| 5 point scale | 4 | 3.4 | 2.7 |
| 4 point scale | 3.5 | 3 | 2.5 |
Norway
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Norway | A / 1.8 | B / 2.3 | C / 3.0 |
Oman
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.5 | 3.0 | 2.5 |
Pakistan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 Year degree only (the higher of the 2 options) | A- or GPA 3.7 | B or GPA 3.0 | C+ or GPA 2.6 |
| 2 or 3 year Bachelor plus Masters | 1st (60%) plus GPA 3.7 | 2nd (55%) plus GPA 3.0 | 2nd (50%) plus GPA 2.6 |
Palestine
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor (4-years) | (85%) 3.5 | (80%) 3.0 | (70%) 2.5 |
Panama
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 Year Licenciado / Título de [subject area] | 91 (A) | 81 (B) | 71 (C) |
Papua New Guinea
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor (Honours) Degree | 1st | 2:1 | 2:2 |
Paraguay
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 Year Título de Licenciado / Título de [subject area] | 4.5 (85%) | 4 (80%) | 3.5 (75%) |
Peru
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 Year Título de Licenciado / Título de [subject area] | 14 | 13 | 12 |
Philippines
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Degree from prestigious state universities or Centres of Excellence (COE) | Summa Cum Laude 4.0 / 96% / 1.0 | Magna cum Laude 3.5 / 92% / 1.5 | Cum Laude 3.0 / 87%/ 2.0 |
Poland
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor Degree (post 2003) Magister (pre- 2003) | 5 | 4.5 | 4 |
Portugal
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diploma de Estudos Superiores Especializados (DESE) or Licenciado | 18 | 16 | 14 |
Qatar
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.5 | 3.0 | 2.8 |
Romania
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diploma de Licenta/ Diploma de Inginer | 9 | 8 | 7 |
Russia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bakalavr/Specialist Diploma/Magistr | 4.5 | 4.0 | 3.5 |
Rwanda
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 year bachelor (Hons) degree (480 credits) | 1st, 16/20 (80%) | 2:1,14/20 (70%) | 2:2, 12/20 (60%) |
Saudi Arabia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.5 | 3.0 | 2.8 |
| GPA 5.0 scale | 4.5 | 3.75 | 3.5 |
Senegal
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Maitrise, Diplome d'Etude Approfondies, Diplome d'Etude Superieures or Diplome d'Etude Superieures Specialisees | 16/20 or Tres Bien | 14/20 or Bien | 12/20 or Assez Bien |
Serbia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Diplomirani/ Bachelor's degree | 9 | 8 | 7 |
Sierra Leone
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Honours degree or masters | 1st (70%) | 2:1 (60% or B) | 2:2 (50% or C) |
Singapore
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor (Hons) | First | Upper second | Lower second |
| GPA 4.0 scale | 3.7 | 3.0 | 2.7 |
| GPA 5.0 scale | 4.5 | 3.5 | 3.0 |
Slovakia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bakalár (from 2005) Magister / Inzinier | 1.5 or B | 2.0 or C | 2.5 or C/high D |
Slovenia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| University Diplom | 9 | 8 | 7 |
South Africa
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor (Honours) or B Tech after 4 yrs study | 1st or 75% | 2:1 or 70% | 2:2 or 60% |
South Korea
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA out of 4.5 | 3.8 / B+ | 3.2 / B | 2.8 / C+ |
| GPA out of 4.3 | 3.8 / B+ | 2.9 / C+ | 2.7 / C+ |
Spain
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciado / Título de Ingeniero / Título de Arquitecto | 8.5 | 7 | 6.5 |
| UCM grading | 3.0 | 2.0 | 1.5 |
Sri Lanka
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 year Professional degree or Bachelor Special or Honours degree | 90%, GPA 3.70 | 80%, GPA 3.30 | 70%, GPA 3.0 |
Sudan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 year degree | 1st, 70%, B+ | 2:1, 66% | mid 2:2, 60%, B |
Sweden
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Kandidatexamen or Magisterexamen | Overall grade of VG with a minimum of 120 credits at VG | B or Overall grade of VG with a minimum of 90 credits at VG | C or Overall grade of G with a minimum of 90 credits at G |
Switzerland
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Bachelor Degree, Diplom or Lizentiat (10/6/5) | 10 / 5.5 / 1 | 8 / 5 / 2 | 6 / 4 / 3 |
Syria
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| State universities 4 years of study | 80% | 70% | 60% |
| Private universities 4 years of study | 90% | 80% | 70% |
Taiwan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Category 1 (4 year degree) | 76% | 70% | 65% |
| Category 2 (4 year degree) | 83% | 77% | 72% |
Tajikistan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Диплом специалиста - Specialist Diploma | 5 | 4.5 | 4 |
Tanzania
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Tanzania | 1st | 2:1 | 2:2 |
Thailand
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.2 | 2.8 | 2.6 |
Trinidad and Tobago
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| For degrees studied at The University of West Indies or degrees accredited by ACTT | 1st or GPA 3.6 | 2:1 or GPA 3.0 | 2:2 or GPA 2.5 |
Tunisia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licence, Maîtrise, Diplôme National d'Ingénieu | 16 (tres bien) | 14 (bien) | 11 (assez bien) |
Turkey
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Lisans Diplomasi or a Műhendis Diplomasi | 3.3 | 2.9 | 2.4 |
Turkmenistan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 4 Yr Bakalavr, Specialist Diploma or Magistr | 5 | 4.5 | 4 |
Uganda
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Uganda | 1st or 4.4 | 2:1 or 3.8 | 2:2 or 3.0 |
Ukraine
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Dyplom Magistra or a Bachelors degree (11 / 5) | 4.5 | 4.0 | 3.5 |
United Arab Emirates
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.5 | 3.0 | 2.6 |
United States of America
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| GPA 4.0 scale | 3.5 | 3 | 2.6 |
Uruguay
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciado (4 year) | 9 | 8 | 7 |
Uzbekistan
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Majistr Diplomi / Diplomi (Specialist Diploma) | 90% or GPA 4.5 | 80% or GPA 4.0 | 70% or GPA 3.5 |
Venezuela
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Licenciado/Professional title. (4 year) | 18/20 or 8/9 | 16/20 or 7/9 | 14/20 or 6/9 |
Vietnam
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 10-point scale | 8.0 | 7.0 | 6.0 |
| 4-point scale | 3.2 | 2.8 | 2.4 |
Zambia
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| Master's | A or 4.0 or 80% | B+, 3.5 or 70% | B or 3.0 or 60% |
Zimbabwe
| First-class honours (70%) | Upper second-class honours (60%) | Lower second-class honours (50%) | |
|---|---|---|---|
| 3/4 year degree | 1st or 75% | 2:1 or 65% | 2:2 or 60% |
English language requirements
Applicants must meet the minimum English language requirements. Further details are available on the International website.
Fees and funding
Tuition fees for 2025-26 entry
UK fee
£5,006 Full-time degree per annum
International fee
£22,360 Full-time degree per annum
Tuition fees for 2026-27 entry
UK fee
£5,006 Full-time degree per annum
International fee
£23,100 Full-time degree per annum
Fees for the 2025-26 academic year apply to projects starting in October 2025, January 2026, April 2026 and July 2026. Fees for the 2026-27 academic year apply to projects starting in October 2026, January 2027, April 2027 and July 2027.
Tuition fees cover the cost of your teaching, assessment and operating University facilities such as the library, IT equipment and other support services. University fees and charges can be paid in advance and there are several methods of payment, including online payments and payment by instalment. Fees are reviewed annually and are likely to increase to take into account inflationary pressures.
How to apply
Projects which have funding attached (e.g. through research councils, University funding or industry sponsorship) are advertised on our online prospectus and do not require a research proposal.
If you can't find an advertised project that fits your interests and experience, you can submit a research proposal to find a supervisor who will work with you on your project. You can view our list of academic staff on our website or you can email us for guidance.
Alongside your research proposal, you must also submit the following to accompany your application:
- a one-page CV summarising relevant experience and skills
- a one-page cover letter describing the reasons for wishing to undertake research in your chosen area and the personal qualities you will bring
- a two-page essay on one or more issues affecting teaching/learning in mathematics related to your proposed area of research. This should be a specially constructed piece of writing, making reference to relevant academic literature.
You should also indicate on your application the area in which you would like to study and the person with whom you would like to work, if appropriate. You are strongly encouraged to contact this person ahead of making an application to discuss your interests and possible research topics.
