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 just-graduated senior) 13 - 19-years-old, to participate.
You will be assigned to a small group of other participants during the application process. Camp mentors will help group members to work together.
(A mentor is a cross between a peer counselor and a tutor. See more about our mentors below.)
Friends may request to be assigned to the same group during the application process.
About the Mentors
Camp Euclid mentors are undergraduate and graduate math students and post-graduate mathematicians; each mentor is an active researcher. Your group will be co-mentored by one senior (doctorate level), lead mentor and two junior/assistant (graduate/undergraduate level) mentors.
Our first camp was in the summer of 2010.
Location and Technical Requirements
Camp Euclid participants meet and collaborate online.
You may participate from virtually anywhere! See below for information on the technical requirements.
Time Commitment and Weekly Schedule
During the summer, Camp Euclid is 6-weeks-long, with 4 hours per week of seminar meetings, plus 6+ hours per week of thinking, writing and informal collaboration.
During the school year, Camp Euclid is 16-weeks-long, in two 8-week sessions, with 90 minutes per week of seminar meetings, plus 3+ hours per week of thinking, writing and informal collaboration.
The upcoming camp, Camp Euclid, 2013 - '14, will be held Sep. 23 - Nov. 15, 2013 and Jan. 27 - Mar. 21, 2014. 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 (under the guidance of your group's 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 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 Camp Seminar
Your group will meet regularly with your group's 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.
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 camp's virtual meeting rooms.
Our online meeting and collaboration tools are very user-friendly.
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, 2013 - '14 Details
Sep. 23 - Nov. 15, 2013 and Jan. 27 - Mar. 21, 2014
Weekly Camp Schedule
The weekly camp schedule (the times for the weekly seminar 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 year!
This year's program is partially supported by a 3-year grant from the National Science Foundation (DMS-1207721).
How to Apply
(It's quick and easy.)
Click here for details on how to apply for Camp Euclid, 2013 - '14.
First day of camp's fall session: Sep. 23, 2013
Last day of camp's fall session: Nov. 15, 2013
First day of camp's spring session: Jan. 27, 2014
Last day of camp's spring session: Mar. 21, 2014