Mathematics
The Mathematics summer school at Oxford Summer Courses, hosted at Cambridge 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 want to develop their problem-solving skills and understanding of key mathematical concepts. Students will explore topics such as algebra, geometry, and probability, learning how to apply mathematical principles to real-world scenarios. Through a combination of theory, puzzles, and problem-solving activities, they’ll strengthen their logical thinking and mathematical intuition. We don’t follow a fixed curriculum—our tutors tailor the course to the group’s interests, making learning engaging, relevant, and fun. The course also includes a masterclass on teamwork and collaboration, along with a reflection session to help students track their goals and progress.
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: Google Books
- Explore online resources on propositional logic and predicate logic: Khan Academy - 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.
For students aged 13-15, Oxford Summer Courses takes safeguarding seriously. All staff are DBS-checked and trained in safeguarding policies. We offer 24/7 on-site security, with supervision and curfews to maintain a safe environment. Our safeguarding policies are designed to balance growing independence with necessary safety measures, ensuring students feel supported.
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.
The Oxford Summer Courses experience
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Get ready to decode the media that shapes our world. On our Media Studies course for ages 13–15, your child will explore how information, stories, and messages are created and shared — from TV and film to social media, advertising, and news. They’ll learn how media influences opinions, culture, and identity, while developing critical thinking and creative communication skills. With no fixed curriculum, students are encouraged to share their interests when they apply, and our expert tutors will shape the course to reflect those passions wherever possible.
With no more than 8 students per class (and often fewer), your child will benefit from personal attention and space to share their views, analyse content, and explore topics in depth. Lessons are interactive and discussion-based, blending tutor-led insights with group projects, media analysis, and independent research. Dedicated study sessions are included to help students reflect on their learning, complete assignments, and receive support from on-course staff.
Beyond the classroom, they’ll enjoy a full summer school experience — with games, social events, Cambridge excursions, and a final graduation ceremony and celebratory disco. It’s a summer that inspires confidence, creativity, and media-savvy thinking.
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.
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 Canterbury is a journey back in time to the heart of medieval England. The charming city boasts a rich history and stunning architecture, including the iconic Canterbury Cathedral, which has been a place of worship for over 1,400 years. Visitors can also immerse themselves in the world of Chaucer's Canterbury Tales, and even try on clothing from the era for a truly authentic experience.
Greenwich is a must-visit destination for anyone interested in history, science, or exploration. The Royal Observatory offers a fascinating glimpse into the history of space, time, and navigation, while the Cutty Sark provides a unique opportunity to step aboard a historic tea clipper from the 19th century. At the National Maritime Museum, visitors can uncover stories about how the modern world was shaped by centuries of seafaring exploration.
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 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.
Typical outings
Reviews
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We know how important it is for young learners to feel confident, independent, and inspired — and our summer school experience in Cambridge is designed with that in mind.
While they study Media Studies this summer as part of our 13–15s programme, your child will stay at one of the Cambridge colleges where we host our courses. With shared living spaces, on-course staff for support, and a friendly, inclusive atmosphere, it’s the perfect place to explore the power of media in one of the world’s most historic academic cities.
Whether they’re analysing an advert, filming with friends, or exploring Cambridge’s creative culture, it’s all part of the experience.
For students attending the Cambridge 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.
Meals are provided on a full-board basis, including breakfast, lunch, and dinner. Meals are served at the accommodation or at local restaurants, providing a variety of options for students.
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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.
