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 . . . .

Program Description

Eligibility Requirements

You must be a middle school or high school student (possibly a recently-graduated senior) 13 - 19-years-old, to participate.

Groups

Before camp begins, you will be assigned to a small group of fellow participants - your research group.

Friends

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 (pre-PhD) 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.

History

Our first camp was in the summer of 2010.

Location

Camp Euclid participants meet and collaborate online.

You may participate from virtually anywhere!

Time Commitment

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 12-weeks-long, in two 6-week sessions (Fall and Winter), with 2 hours per week of seminar meetings, plus 3+ hours per week of thinking (etc.).

See below for the dates and more details about Camp Euclid, '14 - '15!

Activities

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 . . . .

You will

  • 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

You will keep a personal journal of your work (problems, questions, ideas, guesses, examples, mathematical soliloquies, what you'd like to be able to show, sketches of proofs, etc.).

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.

Participant Testimonials

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, '14 - '15 Details

Dates

Oct. 10 - Nov. 21, 2014 & Jan. 23 - Mar. 6, 2015

Weekly Camp Schedule

During pre-registration, groups will be assigned and meeting times scheduled.

Tuition

$1250 (We are committed to making Camp Euclid affordable for all! Read on . . . .)

Grants

Admission/Scheduling is need-blind.

During pre-registration, after being assigned to a group, every student accepted to Camp Euclid may apply for financial aid (need-based and non-need-based). Euclid Lab is a nonprofit 501(c)(3). Tuition and funds for Camp Euclid may vary per camp.

How to Apply

Apply by the second to last Monday before camp begins!

Click here for details on how to apply + for Camp Euclid.

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment. - C. F. Gauss

Reserve your right to think, for even to think wrongly is better than not to think at all. - Hypatia

Participant Testimonials