Camp Euclid - A Mathematics Research Camp
Difficulty Level: U N K N O W N
Meet and Collaborate Online
Camp Euclid is a mind-tingling mathematics research program for middle school and high school students. Participants will encounter solution-defying math problems (which have never been solved before). Mull over and grapple with tantalizingly difficult math problems within a circle of fellow researchers . . . .
You must be a middle school or high school student, 13 - 18-years-old, to participate.
You will be assigned to a small group of other participants during the application process. Mentors will help group members to work together.
(A mentor is a cross between a peer counselor and a tutor.)
Friends may request to be assigned to the same group during the application process.
About the Mentors
Camp Euclid mentors are undergraduate, graduate and post-graduate mathematicians - all actively engaged in research.
Euclid Lab has run Camp Euclid since the summer of 2010.
Location and Technical Requirements
Camp Euclid is a "distance" program which utilizes a VLE (Virtual Learning Environment).
You may participate from virtually anywhere! See below for information on the technical requirements.
Time Commitment and Weekly Schedule
Camp Euclid is 6-weeks-long, with 4 hours per week of regularly scheduled meetings, plus 6+ hours per week of independent work (thinking :)), writing and informal collaboration. The upcoming camp, Camp Euclid, Summer 2013, will be held Jun. 24 - Aug. 2. See below for details on the weekly schedule.
You will investigate unsolved problems in mathematics.
As a group, you will choose a few initial research topics during the first week of camp. Afterwards, your topics may evolve as your research progresses . . . .
- make conjectures and try to prove them;
- alter your conjectures and try to prove those;
- explore examples;
- try to construct counter-examples;
- try to prove special cases;
- try to prove more general cases; and
exercise your analytical skills, communication and writing skills, concentration, acuity, intuition and creativity.
In the process, you will gain practical experience with constructing mathematical proofs while exploring/creating the topics which arise.
Visit U N S O L V E D :, our blog about unsolved problems in mathematics, for some examples of research topics; but the possibilities are endless!
Click here for some tips on doing mathematics research.
The Weekly Seminar
Your group will meet with a senior mentor, 1 1/3 hours per week, in the virtual seminar room - a time to present ideas and to brainstorm and explore ideas with others . . . .
The Common Room
You can also meet with fellow participants (besides those in your local area) in the virtual common room.
The Weekly Common Room Meetings
You will "talk math" with your group and a mentor, 2 2/3 hours per week, in the common room.
Your Research Journal
The Camp Blog
You will share your mathematical musings on the camp blog.
The Camp Wiki
You will summarize progress, explain ideas and pose questions on the camp wiki.
The Final Seminar Meeting
You will give (individually or with fellow participants) a final presentation on a mathematical topic of your choice - perhaps a question you have have been pondering, or a discovery you have made . . . .
Click here to learn how past participants describe Camp Euclid.
Technical Requirements and Details
You will need a broadband-connected computer with a web cam and a headset microphone to log in to the online meeting rooms.
Our online meeting rooms are very user-friendly.
What is an online meeting/"virtual" room like?
- chat via a chat "pod", microphones and web cams;
- upload/download files to share;
- leave notes on a note "pod";
- view/annotate documents collaboratively; and
- brainstorm on a virtually unlimited number of collaborative whiteboards.
Camp Euclid, Summer 2013 Details
Jun. 24 - Aug. 2
Weekly Camp Schedule
The weekly camp schedule (the times for the weekly seminar and common room meetings) for your group will be determined (given prospective participants' and mentors' schedules) and announced during the application process.
We are committed to making Camp Euclid affordable for all students.
NB We have a significant amount of financial aid available this summer!
How to Apply
(It's quick and easy.)
Click here for details on how to apply.
Weekly camp schedule determined and announced: Jun. 10
First day of camp: Jun. 24
Last day of camp: Aug. 2