Mathematics
The Mathematics summer school at Oxford Summer Courses taking place in Cambridge is designed for 13-15 years old students, and is priced from £6995.
Learning
Outline
Mathematics Cambridge summer school at Oxford Summer Courses for ages 13-15 years. Study Mathematics with Oxford Summer Courses. Become a master of numbers, pattern, and logic on our strategic Maths course. You’ll learn how to use your mathematical intuition, the mathematics behind applying fundamental theorems and concepts, and how we can use numbers and logical thinking to explore real-world scenarios. Stack the odds in your favour. We’ll use a range of fundamental techniques, problems, and brainteasers to find the fun side of probability, algebra, or geometry. Ready to play? Engage in a masterclass to acquire life skills like teamwork, debating, and collaboration through an interactive workshop led by on-course staff. Set and reflect on ambitious goals with the support of our staff and participate in a reflection session to review the goals set at the beginning of the Cambridge course and what you've learned so far.
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.
The Oxford Summer Courses experience
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For ages 13-15: Our Cambridge program blends academic exploration, curriculum enrichment, and social engagement. Students participate in two daily lessons with Oxford tutors, ensuring interactive learning in small class sizes. Directed study sessions offer dedicated homework time with on-course staff available for assistance. Discover more about our teaching methodologies.
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.
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For ages 13-15: Staying in the City of Cambridge offers a rich array of experiences. City tours and orientations by our Cambridge summer school staff provide a thorough introduction to the city, while planned activities, excursions, and group exploration allow students to immerse themselves in the local culture. Formal dinners and Bop events create a unique atmosphere for socialising. Learn more about our Cambridge summer school for ages 13-15.
Students will reside in one of Cambridge University’s most iconic colleges, including Fitzwilliam College, Sidney Sussex College, and Corpus Christi College. Accommodation will be assigned based on the tier selected during the application process.
Ages 13-15: Enjoy full-board accommodations with all meals included—breakfast, lunch, and dinner—served either at your accommodation or local restaurants, with dietary requirements catered for. For ages 16-17 and 18-24, students will have half-board accommodations that include breakfast and dinner, served either at your accommodation or local restaurants, with dietary requirements catered for.
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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: 18-24: Tutorials (1-2 students per tutor), seminars, and workshops
- Meals: Half-board (breakfast and dinner included).
- Accommodation: Single or twin room (confirmed by us at a later date, based on student preference at booking).
- 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: Full board includes breakfast, lunch, and dinner, with meals served at either 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: Out-of-hours executive transfer included.
- 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: Full board includes breakfast, lunch, and dinner, with meals served at either the accommodation or local restaurants.
- Accommodation: Guaranteed ensuite room.
- Certificate: Paper.
- Customer Service: Standard.
- Merch: Bottle, notepad, pen (enhanced merch).
- Airport Transfer: Included (standard hours).
- 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: Full board includes breakfast, lunch, and dinner, with meals served at either the accommodation or local restaurants.
- Accommodation: Select your preferred single or twin room.
- Certificate: Digital.
- Customer Service: Standard.
- Merch: Notepad, pen.
- Airport Transfer: Included (standard hours).
- Insurance: Standard coverage (cancellation, medical, baggage).
- Flexibility: Not included.
- Future Coaching Session: Not included.
- Friends & Family Discounts: Not included.
