Madison Math Circle: Difference between revisions

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For the site in Spanish, visit [[Math Circle de Madison]]
For the site in Spanish, visit [[Math Circle de Madison]]
=COVID-19 Update=
UW-Madison is canceling all major events and moving to “virtual instruction” for the rest of the Spring 2020 semester. The Madison Math Circle will also be canceling all in-person Math Circle meetings for the remainder of this semester.
'''We will have a few virtual Math Circle meetings on Monday, April 6, April 13, and April 20 at 4-4:45pm. Please join our email list (send a blank email to join-mathcircle@lists.wisc.edu) to receive updates about these virtual meetings and links to join us each week! We plan to send out a video about an interesting math topic to watch and think about beforehand and will answer questions and discuss the video during the meeting.'''
=What is a Math Circle?=
=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 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.
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[[Image: MathCircle_2.jpg|500px]] [[Image: MathCircle_4.jpg|500px]]  
[[Image: MathCircle_2.jpg|550px]] [[Image: MathCircle_4.jpg|550px]]  




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==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:mathcircleorganizers@lists.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:cbooms@wisc.edu here]. We are always interested in feedback!
<center>
<center>
<gallery widths=480px heights=240px 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]-->
</gallery>
</gallery>


<gallery widths=500px heights=250px mode="packed">
<gallery widths=500px heights=250px mode="packed">
File:juliettebruce.jpg|[http://www.math.wisc.edu/~juliettebruce/ Juliette Bruce]
<!--File:juliettebruce.jpg|[http://www.math.wisc.edu/~juliettebruce/ Juliette Bruce] File:Ee.jpg|[http://www.math.wisc.edu/~evaelduque/ Eva Elduque] File:mrjulian.jpg|[http://www.math.wisc.edu/~mrjulian/ Ryan Julian] File:soumyasankar.jpg|[http://www.math.wisc.edu/~soumyasankar Soumya Sankar]-->
File:Ee.jpg|[http://www.math.wisc.edu/~evaelduque/ Eva Elduque]
File:caitlynbooms.jpg|[https://sites.google.com/wisc.edu/cbooms Caitlyn Booms]
File:mrjulian.jpg|[http://www.math.wisc.edu/~mrjulian/ Ryan Julian]
File:colincrowley.jpg|[https://sites.google.com/view/colincrowley/home Colin Crowley]
File:soumyasankar.jpg|[http://www.math.wisc.edu/~soumyasankar Soumya Sankar]
File:hyunjongkim.jpg|Hyun Jong Kim
File:Xshen.jpg|[https://www.math.wisc.edu/~xshen// Xiao Shen]
File:connorsimpson.jpg|[http://www.math.wisc.edu/~csimpson6/ Connor Simpson]
</gallery>
</gallery>
</center>
</center>
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==Help us grow!==
==Help us grow!==
If you like Math Circle, please help us continue to grow!  Students, parents, and teachers can help by:
If you like Math Circle, please help us continue to grow!  Students, parents, and teachers can help by:
*Posting our [https://www.math.wisc.edu/wiki/images/MMC_Flyer_2016.pdf '''flyer'''] at schools or anywhere that might have interested students
* Like our [https://facebook.com/madisonmathcircle '''Facebook Page'''] and share our events with others!
*Discussing the Math Circle with students, parents, teachers, administrators, and others
* Posting our [https://www.math.wisc.edu/wiki/images/Math_Circle_Flyer_2020.pdf '''flyer'''] at schools or anywhere that might have interested students.
*Making an announcement about Math Circle at PTO meetings
* Discussing the Math Circle with students, parents, teachers, administrators, and others.
*Donating to Math Circle
* 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.
Contact the organizers if you have questions or your own ideas about how to help out.


=Meetings for Fall 2018=
=Meetings for Fall 2019=


<center>
<center>


Unless specified talks start at '''6pm in room 3255 of Helen C. White Library''', unless otherwise noted.
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"
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
|-
|-
! colspan="3" style="background: #e8b2b2;" align="center" | Fall 2018
! colspan="3" style="background: #e8b2b2;" align="center" | Fall 2019
|-
|-
! Date !! Speaker !! Topic
! Date !! Speaker !! Topic
|-
|-
| September 17, 2018 || Sun Woo Park || Why are Donuts and Cream Puffs "different"?
| September 23, 2019 || Soumya Sankar || Why don't map makers like high heels?
|-
|-
| September 24, 2018 || Ben Bruce || Three Cottages Problem
| September 30, 2019 || Erika Pirnes || Why do ice hockey players fall in love with mathematicians?
|-
|-
| October 1, 2018 || Kit Newton || How to calculate Pi if all you can do is throw things
| October 7, 2019 || Uri Andrews || Self-reference, proofs, and computer programming
|-
|-
| October 8, 2018 || Connor Simpson || TBD
| October 14, 2019 || James Hanson || When is a puzzle impossible?
|-
|-
| October 15, 2018 || Jean-Luc Thiffeault || TBD
| October 21, 2019 || Owen Goff || Symbolic Logic and How It's Really Just Arithmetic
|-
|-
| October 22, 2018 || Patrick Nicodemus || Formal Systems in Computer Science and Logic
| October 28, 2019 || Ian Seong || Counting, but Not Like Kindergarteners
|-
|-
| October 29, 2018 || Moisés Herradón Cueto || Order and chaos in population sizes (mostly chaos)
| November 4, 2019 || Omer Mermelstein || Ciphers: To Gibberish and Back Again
|-
|-
| November 5, 2018 || Christian Geske || Josephus Problem
| November 11, 2019 || Colin Crowley || Many Pennies
|-
|-
| November 12, 2018 || Rachel Davis || TBD
| November 18, 2019 || Daniel Corey || The K<span>&#246;</span>nigsberg Bridge Problem
|-
|-
| November 19, 2018 || Uri Andrews || King Chicken
|}
 
</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]
|-
|-
|}
|}
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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!
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.
|}




<center>


{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"
|-
|-
! colspan="5" style="background: #e8b2b2;" align="center" | Fall 2017
! colspan="5" style="background: #e8b2b2;" align="center" | Spring 2020
|-
|-
|-
|-
! Date !! Time !! Location !! Speaker !! Topic
! Date !! Location !! Speaker !! Title !! Abstract
|-
|-
| October 29th || 2:45pm|| East High School - Madison, WI || TBD  || TBD
| 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.
|-
|-
| December 3rd || 2:45pm|| East High School - Madison, WI || TBD  || TBD
| 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>
</center>
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[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations  Advice For Math Circle Presenters]
[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations  Advice For Math Circle Presenters]


[http://www.mathcircles.org/content/lesson-plans Sample Lesson Plans]
[http://www.geometer.org/mathcircles/ Sample Talk Ideas/Problems from Tom Davis]
 
[https://www.mathcircles.org/activities Sample Talks from the National Association of Math Circles]


[http://www.mathcircles.org/content/circle-box "Circle in a Box"]
[https://epdf.pub/circle-in-a-box715623b97664e247f2118ddf7bec4bfa35437.html "Circle in a Box"]

Revision as of 15:11, 20 April 2020

Logo.png

For the site in Spanish, visit Math Circle de Madison

COVID-19 Update

UW-Madison is canceling all major events and moving to “virtual instruction” for the rest of the Spring 2020 semester. The Madison Math Circle will also be canceling all in-person Math Circle meetings for the remainder of this semester.

We will have a few virtual Math Circle meetings on Monday, April 6, April 13, and April 20 at 4-4:45pm. Please join our email list (send a blank email to join-mathcircle@lists.wisc.edu) to receive updates about these virtual meetings and links to join us each week! We plan to send out a video about an interesting math topic to watch and think about beforehand and will answer questions and discuss the video during the meeting.

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 have a weekly meeting, Monday at 6pm in 3255 Helen C White Library, during the school year. 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).


Directions and parking

Our meetings are held on the 3rd floor of Helen C. White Hall in room 3255.

Helencwhitemap.png

Parking. Parking on campus is rather limited. Here is as list of some options:

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

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. As noted in our 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.

So please consider donating to support your math circle! 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 just pay 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.

Meetings for Fall 2019

Talks start at 6pm in room 3255 of Helen C. White Library, unless otherwise noted.

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 Königsberg Bridge Problem

Meetings for Spring 2020

Talks start at 6pm in room 3255 of Helen C. White Library, unless otherwise noted.

Spring 2020
Date Speaker Topic
January 27, 2020 Caitlyn Booms Magic or Math?
February 3, 2020 Erika Pirnes Finding Your Roots
February 10, 2020 Xiao Shen Constructing the 17-gon
February 17, 2020 Ben Bruce 1+1=2 and Other Integer Partitions
February 24, 2020 Brandon Boggess Pi-ck Up Sticks
March 2, 2020 Solly Parenti Lazy Math
March 9, 2020 Connor Simpson Counting Ways to Color Graphs
March 23, 2020 Tejasi Bhatnagar Canceled
March 30, 2020 Yunxuan Li Canceled
April 6, 2020 at 4pm Daniel Erman Virtual: Josephus Problem and Intro to Research Mathematics
April 13, 2020 at 4pm Caitlyn Booms Virtual: To Infinity and Beyond
April 20, 2020 at 4pm Juliette Bruce Virtual: Finding the Fastest Slide

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!

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.


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 Canceled TBD
April 20, 2020 2:45pm East High Omer Mermelstein Canceled TBD

Useful Resources

Annual Reports

2013-2014 Annual Report

Archived 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"