Madison Math Circle: Difference between revisions

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We look forward to seeing you back in Spring 2021.
We look forward to seeing you back in Spring 2021.
Join our email list to be notified of math circle events once we resume:
[https://docs.google.com/forms/d/e/1FAIpQLSe_cKMfdjMQlmJc9uZg5bZ-sjKZ2q5SV9wLb1gSddrvB1Tk1A/viewform '''Math Circle Registration Form''']


=What is a Math Circle?=
=What is a Math Circle?=
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After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.


'''The Madison Math circle was featured in Wisconsin State Journal:''' [http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html check it out]!
'''The Madison Math Circle was featured in Wisconsin State Journal:''' [http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html check it out]!


=All right, I want to come!=
=All right, I want to come!=


We have a weekly meeting, <b>Monday at 6pm in 3255 Helen C White Library</b>, during the school year.  <b>New students are welcome at any point! </b> There is no fee and the talks are independent of one another, so you can just show up any week, but we ask all participants to take a moment to register by following the link below:
We usually have a weekly meeting, <b>Monday at 6pm in 3255 Helen C White Library</b>, during the school year.  <b> However, in Spring 2021, we will be meeting virtually on the first Monday of each month at 5pm. See the schedule and link below. New students are welcome at any point! </b> There is no fee and the talks are independent of one another, so you can just show up any week, but we ask all participants to take a moment to register by following the link below:


  [https://forms.gle/ksktjzcC8g1V9Rj48 '''Math Circle Registration Form''']
  [https://docs.google.com/forms/d/e/1FAIpQLSe_cKMfdjMQlmJc9uZg5bZ-sjKZ2q5SV9wLb1gSddrvB1Tk1A/viewform '''Math Circle Registration Form''']


All of your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle.  
All of your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle.  
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If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in 3255 Helen C White Library, on the UW-Madison campus, right next to the Memorial Union).
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in 3255 Helen C White Library, on the UW-Madison campus, right next to the Memorial Union).


==Meetings for Spring 2021==
All meetings this semester will be held on Zoom at the following link:
[https://uwmadison.zoom.us/j/97810093411 Zoom Link]
with the login password: 030731
<center>
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
|-
! colspan="3" style="background: #e8b2b2;" align="center" | Spring 2021
|-
! Date !! Speaker !! Topic
|-
| February 1, 2021 at 5-6pm || Connor Simpson || Pick's theorem
Pick's theorem relates the area of a polygon whose vertices lie on points of an evenly spaced grid to the number of grid points inside it. We'll do a sequence of examples to discover this theorem, outline a proof, and consider 3-dimensional analogues.
|-
| March 1, 2021 at 5-6pm || Colin Crowley || Fractals and Imaginary numbers
We'll explore some famous mathematical pictures such as the Mandelbrot set and Julius sets, which are examples of what are called fractals. In a quest to understand where these astonishing pictures come from, we will dip our toes into the world of imaginary numbers. While they are vastly complicated and beautiful, these come from simple equations.
|-
| April 5, 2021 at 5-6pm || Aleksandra (Ola) Sobieska || Flipping Pancakes
A waiter delivering pancakes must sort disorganized stacks of pancakes before delivering them to guests, but can only use a spatula to do so. How many flips are necessary? Can we come up with a method that will get him a perfect stack of pancakes every time?
|-
| May 3, 2021 at 5-6pm || Trevor Leslie || We'll give a gentle introduction to the concept of an infinite series of numbers, with a focus on geometric series. As an application, we'll discuss how to find the area of a fractal---the Koch snowflake.
|-
|}
</center>
==Newsletters for Spring 2021==
This semester, we sent out the following Newsletters. These contain announcements, a math video of the week, and some challenge problems to think about.
* [http://math.wisc.edu/~andrews/mathcircle/012521.html 1/25/2021 Newsletter]
* [http://math.wisc.edu/~andrews/mathcircle/020821.html 2/08/2021 Newsletter]
* [http://math.wisc.edu/~andrews/mathcircle/021521.html 2/15/2021 Newsletter]
* [http://math.wisc.edu/~andrews/mathcircle/022221.html 2/22/2021 Newsletter]
* [http://math.wisc.edu/~andrews/mathcircle/030821.html 3/08/2021 Newsletter]
* [https://www.math.wisc.edu/~andrews/newsletter/#031521 3/15/2021 Newsletter]
* [https://www.math.wisc.edu/~andrews/newsletter/#032221 3/22/2021 Newsletter]
* [https://www.math.wisc.edu/~andrews/newsletter/#032921 3/29/2021 Newsletter]
* [https://www.math.wisc.edu/~andrews/newsletter/#041221 4/12/2021 Newsletter]
* [https://www.math.wisc.edu/~andrews/newsletter/#041921 4/19/2021 Newsletter]
* [https://www.math.wisc.edu/~andrews/newsletter/#042621 4/26/2021 Newsletter]


==Directions and parking==
==Directions and parking==
<!-- 
Our meetings are held on the 3rd floor of Helen C. White Hall in room 3255.
Our meetings are held on the 3rd floor of Helen C. White Hall in room 3255.


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*A 0.2 mile walk to Helen C. White Hall via [http://goo.gl/b8pdk2 these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .
*A 0.2 mile walk to Helen C. White Hall via [http://goo.gl/b8pdk2 these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].
-->
During Spring 2021, all meetings will be held on Zoom at the following link:
[https://uwmadison.zoom.us/j/97810093411 Zoom Link]


==Email list==
==Email list==
The best way to keep up to date with the what is going is by signing up for our email list. Send an empty email to join-mathcircle@lists.wisc.edu
The best way to keep up to date with the what is going is by signing up for our email list. Please add your email in the form:
[https://docs.google.com/forms/d/e/1FAIpQLSe_cKMfdjMQlmJc9uZg5bZ-sjKZ2q5SV9wLb1gSddrvB1Tk1A/viewform '''Join Email List''']


==Contact the organizers==
==Contact the organizers==
The Madison Math Circle is organized by a group of professors and graduate students from the [http://www.math.wisc.edu Department of Mathematics] at the UW-Madison. If you have any questions, suggestions for topics, or so on, just email the '''organizers''' [mailto:omer@math.wisc.edu here]. We are always interested in feedback!
The Madison Math Circle is organized by a group of professors and graduate students from the [http://www.math.wisc.edu Department of Mathematics] at the UW-Madison. If you have any questions, suggestions for topics, or so on, just email the '''organizers''' [mailto:mathcircleorganizers@g-groups.wisc.edu here]. We are always interested in feedback!
<center>
<center>
<gallery widths=500px heights=300px mode="packed">
<gallery widths=500px heights=300px mode="packed">
File:de.jpg|[https://www.math.wisc.edu/~derman/ Prof. Daniel Erman]
<!--File:de.jpg|[https://www.math.wisc.edu/~derman/ Prof. Daniel Erman]-->
<!--File:Betsy.jpg|[http://www.math.wisc.edu/~stovall/ Prof. Betsy Stovall]-->
<!--File:Betsy.jpg|[http://www.math.wisc.edu/~stovall/ Prof. Betsy Stovall]-->
File:Uri.jpg|[https://www.math.wisc.edu/~andrews/ Prof. Uri Andrews]
File:Uri.jpg|[https://www.math.wisc.edu/~andrews/ Prof. Uri Andrews]
Line 65: Line 122:
File:caitlynbooms.jpg|[https://sites.google.com/wisc.edu/cbooms Caitlyn Booms]
File:caitlynbooms.jpg|[https://sites.google.com/wisc.edu/cbooms Caitlyn Booms]
File:colincrowley.jpg|[https://sites.google.com/view/colincrowley/home Colin Crowley]
File:colincrowley.jpg|[https://sites.google.com/view/colincrowley/home Colin Crowley]
File:hyunjongkim.jpg|Hyun Jong Kim
<!--File:hyunjongkim.jpg|Hyun Jong Kim -->
File:Xshen.jpg|[https://www.math.wisc.edu/~xshen// Xiao Shen]
File:Xshen.jpg|[https://www.math.wisc.edu/~xshen// Xiao Shen]
File:connorsimpson.jpg|[http://www.math.wisc.edu/~csimpson6/ Connor Simpson]
File:connorsimpson.jpg|[http://www.math.wisc.edu/~csimpson6/ Connor Simpson]
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==Donations==
==Donations==
Please consider donating to the Madison Math Circle. As noted in our [https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf annual report], our main costs consist of pizza and occasional supplies for the speakers.  So far our costs have been covered by donations from the UW Mathematics Department as well as a generous gifts from a private donor. But our costs are rising, primarily because this year we expect to hold more meetings than in any previous year. In fact, this year, we expect to spend at least $2500 on pizza and supplies alone.
Please consider donating to the Madison Math Circle. Our main costs consist of pizza and occasional supplies for the speakers.  So far our costs have been covered by donations from the UW Mathematics Department as well as a generous gifts from private donors. The easiest way to donate is to go to the link:
 
So please consider donating to support your math circle!  The easiest way to donate is to go to the link:


[http://www.math.wisc.edu/donate Online Donation Link]
[http://www.math.wisc.edu/donate Online Donation Link]
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Alternately, you can bring a check to one of the Math Circle Meetings.  If you write a check, be sure to make it payable to the "WFAA" and add the note "Math Circle Donation" on the check.   
Alternately, you can bring a check to one of the Math Circle Meetings.  If you write a check, be sure to make it payable to the "WFAA" and add the note "Math Circle Donation" on the check.   


Or you can just pay in cash, and we'll give you a receipt.
Or you can make donations in cash, and we'll give you a receipt.


==Help us grow!==
==Help us grow!==
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* Donating to Math Circle.
* Donating to Math Circle.
Contact the organizers if you have questions or your own ideas about how to help out.
Contact the organizers if you have questions or your own ideas about how to help out.
=Meetings for Fall 2019=
<center>
Talks start at '''6pm in room 3255 of Helen C. White Library''', unless otherwise noted.
</center>
<center>
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
|-
! colspan="3" style="background: #e8b2b2;" align="center" | Fall 2019
|-
! Date !! Speaker !! Topic
|-
| September 23, 2019 || Soumya Sankar || Why don't map makers like high heels?
|-
| September 30, 2019 || Erika Pirnes || Why do ice hockey players fall in love with mathematicians?
|-
| October 7, 2019 || Uri Andrews || Self-reference, proofs, and computer programming
|-
| October 14, 2019 || James Hanson || When is a puzzle impossible?
|-
| October 21, 2019 || Owen Goff || Symbolic Logic and How It's Really Just Arithmetic
|-
| October 28, 2019 || Ian Seong || Counting, but Not Like Kindergarteners
|-
| November 4, 2019 || Omer Mermelstein || Ciphers: To Gibberish and Back Again
|-
| November 11, 2019 || Colin Crowley || Many Pennies
|-
| November 18, 2019 || Daniel Corey || The K<span>&#246;</span>nigsberg Bridge Problem
|-
|}
</center>
=Meetings for Spring 2020=
<center>
Talks start at '''6pm in room 3255 of Helen C. White Library''', unless otherwise noted.
</center>
<center>
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
|-
! colspan="3" style="background: #e8b2b2;" align="center" | Spring 2020
|-
! Date !! Speaker !! Topic
|-
| January 27, 2020 || Caitlyn Booms || [https://www.facebook.com/events/994454747606234/ Magic or Math?]
|-
| February 3, 2020 || Erika Pirnes || [https://www.facebook.com/events/173248473949771/ Finding Your Roots]
|-
| February 10, 2020 || Xiao Shen || [https://www.facebook.com/events/1536925486465083/ Constructing the 17-gon]
|-
| February 17, 2020 || Ben Bruce || [https://www.facebook.com/events/633574783873887/ 1+1=2 and Other Integer Partitions]
|-
| February 24, 2020 || Brandon Boggess || [https://www.facebook.com/events/425841464850965/ Pi-ck Up Sticks]
|-
| March 2, 2020 || Solly Parenti || [https://www.facebook.com/events/1042467939485675/ Lazy Math]
|-
| March 9, 2020 || Connor Simpson || [https://www.facebook.com/events/1068696736816566/ Counting Ways to Color Graphs]
|-
| March 23, 2020 || Tejasi Bhatnagar || <font color="red">Canceled</font>
|-
| March 30, 2020 || Yunxuan Li || <font color="red">Canceled</font>
|-
| April 6, 2020 '''at 4pm''' || Daniel Erman || Virtual: Josephus Problem and Intro to Research Mathematics
|-
| April 13, 2020 '''at 4pm''' || Caitlyn Booms || [https://www.facebook.com/events/231654831283623/ Virtual: To Infinity and Beyond]
|-
| April 20, 2020 '''at 4pm''' || Juliette Bruce || [https://www.facebook.com/events/246037009921568/ Virtual: Finding the Fastest Slide]
|-
|}
</center>
=Off-Site Meetings=
We will hold some Math Circle meetings at local high schools on early release days.  If you are interesting in having us come to your high school, please contact us!
<center>
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
|-
! colspan="5" style="background: #e8b2b2;" align="center" | Fall 2019
|-
|-
! Date !! Location !! Speaker !! Title !! Abstract
|-
| October 7, 2019 || 2:45pm East High || Solly Parenti || Tangled Up in Two || Every tangled cord you have ever encountered is secretly a number.  Once you learn how to count these cords, cleaning your room will be as easy as 1-2-3.
|-
| November 4, 2019 || 2:45pm James Madison Memorial || Caitlyn Booms || Sneaky Segments || We call a line segment drawn between two lattice points in the coordinate plane sneaky if it does not pass through any other lattice points. During this presentation, we will try to understand exactly when this happens, and we'll discuss how to calculate the probability that two randomly chosen lattice points are connected by a sneaky segment.
|-
| November 11, 2019 || 2:45pm East High || Maya Banks || Tic-Tac-Topology || Tic-Tac-Toe is a game usually played on a flat piece of paper. In this standard setting, there is winning strategy--that is, if the player who goes first chooses their moves correctly, they will never lose. But we can also play Tic-Tac-Toe on a surface that isn't lying flat in a plane! In this talk, we will explore the game of Tic-Tac-Toe on cylinders, donuts, and even some wilder surfaces. We'll look for optimal strategies, and learn some topology in the process.
|-
| December 16, 2019 || 2:45pm James Madison Memorial || Daniel Erman || Really Big Numbers || We will discuss the role that really really, really big numbers play in modern mathematics and in science. This will be a discussion of estimation and an introduction to some of the ways that mathematicians express unfathomably big numbers.
|}
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
|-
! colspan="5" style="background: #e8b2b2;" align="center" | Spring 2020
|-
|-
! Date !! Location !! Speaker !! Title !! Abstract
|-
| February 17, 2020 || 2:45pm James Madison Memorial || Maya Banks || Tic-Tac-Topology || Tic-Tac-Toe is a game usually played on a flat piece of paper. In this standard setting, there is winning strategy--that is, if the player who goes first chooses their moves correctly, they will never lose. But we can also play Tic-Tac-Toe on a surface that isn't lying flat in a plane! In this talk, we will explore the game of Tic-Tac-Toe on cylinders, donuts, and even some wilder surfaces. We'll look for optimal strategies, and learn some topology in the process.
|-
| March 9, 2020 || 2:45pm East High || Michel Alexis || Kakeya Needle Sets || Take a 1-inch needle. A shape in the plane (i.e. a shape you can draw on a piece of paper) is called Kakeya if we can place the needle within the shape, and by only rotating and shifting the needle within the shape (no lifting!) we can get the needle to point in all directions. We will think about what sort of shapes are and aren't Kakeya, how this affects their geometry, and how small these shapes can be.
|-
| April 13, 2020 || 2:45pm James Madison Memorial || Juliette Bruce || <font color="red">Canceled</font> || TBD
|-
| April 20, 2020 || 2:45pm East High || Omer Mermelstein || <font color="red">Canceled</font> || TBD
|}
</center>


=Useful Resources=
=Useful Resources=
==Annual Reports==
<!--==Annual Reports==
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf  2013-2014 Annual Report]
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf  2013-2014 Annual Report]-->


== Archived Abstracts ==
== Archived Abstracts ==
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2019-2020 2019 - 2020 Abstracts]


[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_2016-2017 2016 - 2017 Math Circle Page]
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_2016-2017 2016 - 2017 Math Circle Page]

Revision as of 03:37, 25 April 2021

Logo.png

For the site in Spanish, visit Math Circle de Madison

COVID-19 Update

Due to COVID-19, all math circle events are canceled for Fall 2020.

We look forward to seeing you back in Spring 2021.

Join our email list to be notified of math circle events once we resume:

Math Circle Registration Form

What is a Math Circle?

The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.

The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.


MathCircle 2.jpg MathCircle 4.jpg


After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.

The Madison Math Circle was featured in Wisconsin State Journal: check it out!

All right, I want to come!

We usually have a weekly meeting, Monday at 6pm in 3255 Helen C White Library, during the school year. However, in Spring 2021, we will be meeting virtually on the first Monday of each month at 5pm. See the schedule and link below. New students are welcome at any point! There is no fee and the talks are independent of one another, so you can just show up any week, but we ask all participants to take a moment to register by following the link below:

Math Circle Registration Form

All of your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle.

If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in 3255 Helen C White Library, on the UW-Madison campus, right next to the Memorial Union).


Meetings for Spring 2021

All meetings this semester will be held on Zoom at the following link: Zoom Link

with the login password: 030731

Spring 2021
Date Speaker Topic
February 1, 2021 at 5-6pm Connor Simpson Pick's theorem

Pick's theorem relates the area of a polygon whose vertices lie on points of an evenly spaced grid to the number of grid points inside it. We'll do a sequence of examples to discover this theorem, outline a proof, and consider 3-dimensional analogues.

March 1, 2021 at 5-6pm Colin Crowley Fractals and Imaginary numbers

We'll explore some famous mathematical pictures such as the Mandelbrot set and Julius sets, which are examples of what are called fractals. In a quest to understand where these astonishing pictures come from, we will dip our toes into the world of imaginary numbers. While they are vastly complicated and beautiful, these come from simple equations.

April 5, 2021 at 5-6pm Aleksandra (Ola) Sobieska Flipping Pancakes

A waiter delivering pancakes must sort disorganized stacks of pancakes before delivering them to guests, but can only use a spatula to do so. How many flips are necessary? Can we come up with a method that will get him a perfect stack of pancakes every time?

May 3, 2021 at 5-6pm Trevor Leslie We'll give a gentle introduction to the concept of an infinite series of numbers, with a focus on geometric series. As an application, we'll discuss how to find the area of a fractal---the Koch snowflake.

Newsletters for Spring 2021

This semester, we sent out the following Newsletters. These contain announcements, a math video of the week, and some challenge problems to think about.

Directions and parking

During Spring 2021, all meetings will be held on Zoom at the following link: Zoom Link

Email list

The best way to keep up to date with the what is going is by signing up for our email list. Please add your email in the form: Join Email List

Contact the organizers

The Madison Math Circle is organized by a group of professors and graduate students from the Department of Mathematics at the UW-Madison. If you have any questions, suggestions for topics, or so on, just email the organizers here. We are always interested in feedback!


Donations

Please consider donating to the Madison Math Circle. Our main costs consist of pizza and occasional supplies for the speakers. So far our costs have been covered by donations from the UW Mathematics Department as well as a generous gifts from private donors. The easiest way to donate is to go to the link:

Online Donation Link

There are instructions on that page for donating to the Math Department. Be sure and add a Gift Note saying that the donation is intended for the "Madison Math Circle"! The money goes into the Mathematics Department Annual Fund and is routed through the University of Wisconsin Foundation, which is convenient for record-keeping, etc.

Alternately, you can bring a check to one of the Math Circle Meetings. If you write a check, be sure to make it payable to the "WFAA" and add the note "Math Circle Donation" on the check.

Or you can make donations in cash, and we'll give you a receipt.

Help us grow!

If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:

  • Like our Facebook Page and share our events with others!
  • Posting our flyer at schools or anywhere that might have interested students.
  • Discussing the Math Circle with students, parents, teachers, administrators, and others.
  • Making an announcement about Math Circle at PTO meetings.
  • Donating to Math Circle.

Contact the organizers if you have questions or your own ideas about how to help out.

Useful Resources

Archived Abstracts

2019 - 2020 Abstracts

2016 - 2017 Math Circle Page

2016 - 2017 Abstracts

2015 - 2016 Math Circle Page

2015 - 2016 Math Circle Page (Spanish)

2015 - 2015 Abstracts

Archived Math Circle Material

Link for presenters (in progress)

Advice For Math Circle Presenters

Sample Talk Ideas/Problems from Tom Davis

Sample Talks from the National Association of Math Circles

"Circle in a Box"