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 (possibly a recently-graduated senior) 13 - 19-years-old, to participate.
Before camp begins, you will be assigned to a small group of fellow participants - your research group.
Friends may request to be assigned to the same group during the pre-registration process.
About the Mentors
Camp Euclid mentors are undergraduate and graduate math students (possibly recently-graduated) and post-graduate mathematicians; each mentor is an active researcher. Your group will be co-mentored by at least one senior (doctorate level) mentor and two graduate student/undergraduate student mentors.
Our first camp was in the summer of 2010.
Camp Euclid participants meet and collaborate online.
You may participate from virtually anywhere!
The Summer Camp
The summer camp is 6-weeks-long, with 4 hours per week of seminar meetings, plus 6+ hours per week of thinking, writing and informal collaboration.
The School-Year Camp
The school-year camp is 16-weeks-long, in two 8-week sessions, with 90 minutes per week of seminar meetings, plus 3+ hours per week of thinking (etc.).
See below for the dates and more details about Camp Euclid, Summer '14!
You will investigate unsolved problems in mathematics.
As a group, you will choose a few initial research topics (under the tutelage of your mentors) 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 wiki about unsolved problems in mathematics.
Examples of research topics - but the possibilities are endless!
Click here for some tips on doing mathematics research.
The Camp Seminar
Your group will meet regularly with your mentors in a virtual meeting room - a time to brainstorm together and to "talk math" :)
Your Research Journal
The Camp Blog
You will share your mathematical musings on the camp blog.
The Camp Wiki
Your group will work together to document your group's discoveries on the camp wiki.
See below 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 camp's online meeting rooms.
Our online meeting and collaboration tools are very user-friendly.
The Camp's Virtual Research Environment
During seminar and other ad hoc camp meetings, your group will
- video/audio/text chat;
- share electronic documents (e.g. image files, pdf's, links, etc.);
- create/edit documents collaboratively; and
- brainstorm on collaborative sketchpads.
Between online meetings, you will collaborate via the blog and wiki.
Camp Euclid, Summer '14 Details
Jun. 23 - Aug. 3, 2014
Weekly Camp Schedule
During pre-registration, groups will be assigned and meeting times scheduled.
We are committed to making Camp Euclid affordable for all.
Admission/Scheduling is need-blind.
How to Apply
Apply by the second to last Monday before camp begins!
Click here for details on how to apply + for Camp Euclid.