Mathematics
The Mathematics summer school at ǶƵ, hosted at Oxford colleges, is designed for 13-15-year-old students and is priced from £6,495. The first course begins on 29 June 2025, with limited places available across June, July, and August. Each course has only 8 places available, and they are filling up quickly. Many students have already secured their place—apply now to avoid missing out.
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Learning
Outline
Mathematics is designed for 13–15-year-olds who enjoy problem-solving, logical thinking, and exploring how numbers shape the world. Students will strengthen their understanding of core concepts such as algebra, geometry, and probability, while applying mathematical reasoning to real-world scenarios. Through puzzles, challenges, and collaborative activities, they’ll build confidence in approaching complex problems with clarity and precision. We don’t follow a fixed curriculum—our tutors adapt the course to the group’s interests, making learning both engaging and relevant. The course also includes a masterclass focused on skills like teamwork and debating, along with a reflection session to help students track their progress and goals.
Teaching methodology
Learning in a small group (no more than 8 students and often fewer) means that you get quality time with your teacher and ask as many questions as you like! Through interactive learning, our teachers will guide you through new concepts and assign you practice tasks to build your knowledge and skills. You will also have an opportunity for group work, independent research, and homework assignments to be discussed in class. Small classes mean everyone gets to have their say, and students learn from debating with one another, as well as from their tutor.
Frequently Asked Questions
To be eligible, applicants should:
- Be between 13-15 years old.
- Have a sufficient understanding of English to participate in academic discussions and coursework.
- Have a keen interest in exploring their chosen subject(s).
If you meet these requirements, we’d love to see your application!
Applying is easy! Follow these steps:
- Choose a Course: Select your subject, location, dates, and accommodation. You can add additional courses if you wish.
- Provide Student Info: Fill in your name, contact details, and a short personal statement about why you'd be a great fit.
- Enter School Info: Provide the name and address of your most recent school.
- Review & Submit: Double-check your details and submit your application.
After submission, our admissions team will review your application, and you’ll hear back within 2-3 days. Apply now!
Yes, you can book more than one course! During the application process, you will have the option to add additional courses either before or after your main course. The total price, including any additional courses, will be displayed before you proceed.
After paying your deposit to secure your place, our admissions team will help you set up a bespoke payment plan. You can choose from options like monthly or bimonthly payments, and we will provide a detailed invoice outlining your instalment schedule. Learn more about payment plans.
Note: There are no additional fees for setting up a payment plan, and your place is secure once the deposit is paid.
The course is structured over two weeks and introduces students to formal logic, a fundamental area in mathematics with connections to philosophy and computer science.
Week 1: Logic and the Philosophy of Mathematics (Example)
- Introduction to syntax, semantics, and pragmatics.
- Key concepts: Proof by induction, equivalence, contraposition, reductio ad absurdum, modus ponens, de Morgan's laws.
- Exploring disjunctive and conjunctive normal forms, expressive power, and the classification of connectives.
Week 2: Propositional and Predicate Logic (Example)
- Natural deduction proof system: Verifiability, soundness, and completeness.
- Predicate logic and its limitations.
- Topics like topology, generalisation, and expressive adequacy.
Note: This is an example structure. The actual content may vary depending on the tutor’s expertise and student preferences. Students will have the opportunity to discuss their learning goals with admissions to tailor the course.
By the end of the course, students may:
- Understand foundational concepts in logic, including propositional and predicate logic.
- Gain confidence in solving logic puzzles and applying logical reasoning to mathematical problems.
- Develop critical thinking and analytical skills essential for pursuing advanced studies in mathematics, computer science, and related fields.
- Learn to work independently and collaboratively on challenging problems.
Note: Learning objectives may vary based on student interests, which will be discussed during the admissions process.
Students are encouraged to do pre-course preparation to maximise their learning. Suggested resources include:
Read:
- Introduction to Logic by Patrick Suppes:
- Explore online resources on propositional logic and predicate logic:
Optional Extension:
- Research an interesting logic puzzle or mathematical problem and come prepared to share it with the class.
Note: These are example resources. Specific materials may vary depending on tutor and student preferences. Students will be informed of the required materials in advance to allow enough time to prepare.
This course provides an excellent foundation for students interested in mathematics, logic, computer science, and related fields. It introduces critical concepts in logical reasoning and offers practical skills in problem-solving. The course also encourages independent thinking, helping students build a solid foundation for further academic studies in math and science.
You are expected to:
- Actively participate in seminars, group discussions, and problem-solving sessions.
- Complete independent study assignments, including homework and logic exercises.
- Engage with peers in group discussions, contributing to collaborative problem-solving and critical thinking.
The course is designed to develop logical reasoning and problem-solving skills while encouraging participation and collaboration.
To be eligible, applicants should:
- Be between 13-15 years old.
- Have a sufficient understanding of English to participate in academic discussions and coursework.
- Have a keen interest in exploring their chosen subject(s).
If you meet these requirements, we’d love to see your application!
Since spaces are limited, once a course is full, we are unable to accept additional students. We recommend applying early to avoid disappointment.
We recommend applying as soon as possible. Spaces are in high demand, and many courses fill up well in advance. The earlier you apply, the better your chance of securing your preferred course dates and accommodation type.
Each course has a limited number of spaces available across multiple accommodation options—Plus, Superior, and Premier. With two-week courses running from 29 June to 30 August 2025, we recommend securing your spot early as spaces fill up quickly.
Courses begin on 29 June 2025, with two-week courses running until 30 August 2025. Spaces are already filling up fast, so apply now to avoid missing out.
The ǶƵ experience
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Get ready to think logically, creatively, and strategically. On our Mathematics course for ages 13–15, your child will explore the principles that underpin everything from finance to engineering — tackling topics like algebra, geometry, number theory, and problem-solving. Whether they’re passionate about equations or curious about patterns, students are encouraged to share their interests when they apply, and our expert tutors will shape lessons around those topics wherever possible. There’s no fixed curriculum, meaning every course is tailored to students’ strengths, goals, and curiosity.
With classes of no more than 8 students (and often fewer), they’ll benefit from personal support, lively discussion, and the chance to approach complex ideas in an encouraging and collaborative environment. Tutors guide students through new concepts using interactive methods, group work, and independent tasks. Dedicated study sessions are built into the week, with on-course staff available to help with homework and consolidation.
Outside the classroom, they’ll enjoy a vibrant programme of activities, including social events, city excursions, and a graduation ceremony and disco to round off the experience. It’s a summer designed to challenge, motivate, and inspire.
The British Museum, located in the heart of London, is one of the world's most renowned museums, housing a vast and diverse collection of over 8 million historical artefacts from all corners of the globe. Founded in 1753, the museum covers over 2 million years of human history, from ancient civilisations to modern times.
Visiting Warwick Castle is an opportunity to explore the rich history of this magnificent medieval fortress. It dates back to the 11th century and has played a significant role in English history. Students can explore the castle's impressive collection of buildings and exhibitions, as well as witness jousting tournaments, falconry displays, and other live shows.
The Tower of London is a historic castle and fortress that has served as a royal palace, prison, and even a zoo over the centuries. Visitors can explore its impressive collection of buildings and exhibitions, including the iconic White Tower, the Crown Jewels, and the medieval palace. They can also learn about the infamous prisoners who were held in the tower over the centuries, including Anne Boleyn and Guy Fawkes.
Visiting Westminster in London is a must-see for anyone interested in the city's rich history and iconic landmarks. This historic district is located in the heart of London and boasts several of the city's most famous attractions, including the Houses of Parliament, Westminster Abbey, and Buckingham Palace.
Visiting Bath is a must-see attraction, as it is home to some of the best-preserved Roman architecture in the world and the ancient Roman Baths. Visitors can also explore Georgian architecture, such as the Royal Crescent and the Jane Austen Centre, which celebrates the life of the famous author.
Blenheim Palace is an impressive example of baroque architecture in Britain, home to Sir Winston Churchill. Visitors can explore the state rooms, stroll through the gardens, and try their hand at the challenging maze. It also houses a butterfly house, model village, and miniature train, providing entertainment for all ages.
The Ashmolean Museum in Oxford, is one of the world's oldest and most prestigious museums, founded in 1683. Its collection of over 1 million objects spans from ancient Egypt to contemporary art, including archaeological treasures, fine art, and rare manuscripts, making it a must-see destination for art, history, and culture enthusiasts.
Oxford is a world-renowned university city with stunning architecture, idyllic cobblestone streets, and rich history. It is home to some of the most iconic university buildings in the world, such as the Bodleian Library and Christ Church College, which inspired the Hogwarts dining hall in the Harry Potter movies. Visiting Oxford is like taking a step back in time and discovering the quintessential beauty of England.
Visiting Portsmouth offers an opportunity to explore the rich maritime history of the UK. The city has played a significant role in the country's naval history, and students can learn about this at the historic dockyard, which is home to several iconic ships. They can also explore the Mary Rose Museum, which houses the remains of Henry VIII's flagship, and the National Museum of the Royal Navy.
Discover the wonders of Bristol, one of the UK's coolest cities, as you explore its many attractions. Step aboard Brunel's engineering marvel, the SS Great Britain, and delve into its fascinating history. Get hands-on with science at We The Curious, gaze in wonder at the Planetarium, and uncover even more of Bristol's secrets as you explore this vibrant and eclectic city.
Typical outings
Reviews
We know how important it is for young learners to feel confident, independent, and inspired — and our summer school experience in Oxford is designed with that in mind.
While they study Mathematics this summer as part of our 13–15s programme, your child will stay at one of the Oxford colleges where we host our courses. With shared living spaces, on-course staff to support them, and a welcoming environment, it’s the perfect place to experience student life in one of the world’s most iconic academic cities.
Whether they’re reflecting on the day’s learning or exploring the city’s rich academic history with friends, it’s all part of the experience.
For students attending the Oxford 13-15 course, accommodation is based on the selected tier. In the Classic Tier, students will stay in a single or twin room, with final room assignment confirmed by us at a later date. In the Plus Tier, students can select their preferred single or twin room. The Superior Tier guarantees an ensuite room, providing additional comfort and privacy. For the Premier Tier, our concierge service will help select the best available accommodation based on the student’s preferences.
Meals are provided on a full-board basis, including breakfast, lunch, and dinner. Meals are served at the accommodation or at local restaurants, ensuring a variety of dining options.
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Timetable
Dates & Prices
- Teaching: Academic tuition.
- Meals: Full board includes breakfast, lunch, and dinner from Sunday to Thursday. Friday includes breakfast only, and Saturday no meals are provided.
- Accommodation: Housing in Resa Vallehermoso.
- Extracurricular Activities & Excursions: Included activities and excursions are available every afternoon, evening, and throughout the weekend.
- Transportation: Transportation for included activities.
- Use of Athletic and Recreation Facilities: Access to athletic and recreation facilities during the program.
- Safety & Supervision: Safety and supervision are provided for students throughout the course.
- Teaching: All interactive classes (15 students or less).
- Meals: Full-board (breakfast, lunch, and dinner provided).
- Accommodation: Standard (shared room).
- Trips & Activities: All-day trips and activities included.
- Airport Transfer: Included.
- Insurance: Travel and medical insurance included.
- Merch: Backpack, notepad, and water bottle.
- Certificate: Paper certificate awarded at the graduation ceremony.
- Customer Service: Standard.
- Friends & Family Discount: Not included.
- Teaching: All interactive classes (15 students or less).
- Meals: Full-board (breakfast, lunch, and dinner provided).
- Accommodation: Standard (shared room).
- Trips & Activities: All-day trips and activities included.
- Airport Transfer: Included.
- Insurance: Travel and medical insurance included.
- Merch: Backpack, notepad, and water bottle.
- Certificate: Paper certificate awarded at the graduation ceremony.
- Customer Service: Standard.
- Friends & Family Discount: Not included.
- Teaching: 13-24: Tutorials (1-2 students per tutor), seminars, and workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Single or twin room (confirmed by us at a later date).
- Certificate: Digital.
- Customer Service: Standard.
- Merch: Notepad, pen.
- Airport Transfer: Not included.
- Insurance: Not included.
- Flexibility: Not included.
- Future Coaching Session: Not included.
- Friends & Family Discount: Not included.
- Teaching: All teaching, including small group seminars (8 students or less) and interactive workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Concierge helps select the best available option.
- Certificate: Framed, signed (wet signature).
- Customer Service: Enhanced (OxSC concierge).
- Merch: Bottle, notepad, pen, backpack (premium merch).
- Airport Transfer: Included (Heathrow Airport only. No time restrictions.).
- Insurance: Platinum coverage (top-level protection on cancellation, medical, baggage).
- Flexibility: One-year free deferral.
- Future Coaching Session: Included (1 session).
- Friends & Family Discount: Discounted stay/meals for family in top Oxford/Cambridge hotels while on course.
- Teaching: All teaching, including small group seminars (8 students or less) and interactive workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Guaranteed ensuite room.
- Certificate: Paper.
- Customer Service: Standard.
- Merch: Bottle, notepad, pen (enhanced merch).
- Airport Transfer: Included (Heathrow Airport only, available for flights arriving/departing between 8:00 AM and 3:00 PM. T&Cs apply.).
- Insurance: Enhanced coverage (higher limits on cancellation, medical, baggage).
- Flexibility: One-year free deferral.
- Future Coaching Session: Not included.
- Friends & Family Discount: Discounted stay/meals for family in top Oxford/Cambridge hotels while on course.
- Teaching: All teaching, including small group seminars (8 students or less) and interactive workshops.
- Meals: Ages 13-15 are Full-board (breakfast, lunch, and dinner included), and ages 16-24 are Half-board (breakfast and dinner included). Meals are served at the accommodation or local restaurants.
- Accommodation: Select your preferred single or twin room.
- Certificate: Paper.
- Customer Service: Standard.
- Merch: Notepad, pen.
- Airport Transfer: Included (Heathrow Airport only, available for flights arriving/departing between 8:00 AM and 3:00 PM. T&Cs apply.).
- Insurance: Standard coverage (cancellation, medical, baggage).
- Flexibility: Not included.
- Future Coaching Session: Not included.
- Friends & Family Discounts: Not included.
