Previous Workshops

Spring 2012 MTCA Workshop #3

posted Mar 31, 2012 8:35 AM by Altha Rodin   [ updated Mar 31, 2012 8:58 AM ]

Iterative Functions

 

Presented by

Dr. Mark Daniels

The University of Texas at Austin

March 29, 2012

NOA 1.126

  Dr. Mark Daniels talked about iterative processes applied to geometric figures.  Participants then created 3-D objects by using an iterative process implemented with paper cutting and folding. 

The handout from the session, as well as the flyer for the UTeach Teacher Preparation Academy are posted below.


Spring 2012 MTCA Workshop #2

posted Feb 21, 2012 8:35 AM by Altha Rodin   [ updated Feb 21, 2012 8:44 AM ]

Some Problems, Some History, Some Short Stories 

Presented by

Dr. Ben Rhodes

The University of Texas at Austin

Thursday, February 16, 2012


Dr. Rhodes led a discussion of several problems with connections to previous workshops.  Each problem came with a bit of history and some interesting extensions.  See the handout below for more details.

Spring 2012 MTC Workshop #1

posted Jan 31, 2012 7:26 AM by Altha Rodin   [ updated Jan 31, 2012 7:27 AM ]

MASS POINT GEOMETRY

Presented by

Dr. Max Warshauer

Texas State University

January 26, 2012

Dr. Warshauer talked about mass point geometry, and how to solve problems using this powerful tool.  See document below for some problems that can be solved using this method.

Fall 2011 MTC Workshop #3

posted Jan 15, 2012 11:53 AM by Altha Rodin   [ updated Jan 15, 2012 11:54 AM ]

 

The 15-Puzzle

Presented by

Dr. Fernando Rodriguez-Villegas

December 1, 2011

The University of Texas at Austin

 

The 15-puzzle is the perennial puzzle consisting of 15 numbered tiles on a 4 by 4 square that need to be restored to the standard ordering by sliding the tiles around. It is what is called a permutation puzzle, just like its more famous cousin: the Rubik's cube. We will consider the general form of the 15-puzzle and the crucial role played by the parity of permutations, something that Sam Loyd, "America's greatest puzzler" in the words of Martin Gardner, knew how to exploit to great effect.

Fall 2011 MTC Austin Workshop #2

posted Oct 28, 2011 4:02 PM by Altha Rodin   [ updated Oct 28, 2011 4:06 PM ]

Beyond Odd and Even:

A Creative Way of Looking at Parity

 

Presented by

Jason Ermer

The University of Texas at Austin

October 27, 2011

Mathematics teachers know the "official" definitions and concepts that comprise school mathematics, but our students may see things differently. Where might their creative mathematical thinking lead us? See the handouts below for a new look at some familiar mathematics, and for extensions that will stretch your own creative mathematical thinking!

Fall 2011 MTC Austin Workshop #1

posted Oct 2, 2011 6:56 PM by Altha Rodin   [ updated Oct 2, 2011 7:01 PM ]

Random Surprises: Expect the Unexpected

September 29, 2011 (NOA 1.102)

Presented by Dr. Michael Starbird
The University of Texas at Austin

What should we expect from random chance? The answer is full of surprises. Whether we flip a coin, look at data, or ask for birthdays, we find that our intuition about what to expect is often far  from what actually happens by chance alone. When dealing with chance, we have to learn to expect the unexpected.


2 hours CPE credit through UT
2 hours GT credit through TAGT

Spring 2011 MTC Austin Workshop #4

posted May 5, 2011 8:23 AM by Altha Rodin   [ updated Aug 22, 2011 9:08 AM by Adriana Sofer ]

Dizzying the memory of arithmetic  
(or what is new in the world of
addition)

April 28, 2011 (NOA 1.102)

Presented by Dr. Fernando Rodriguez-Villegas
UT Austin

Simple questions about something as routine as carrying
when adding integers can lead to interesting problems and
deep results!





2 hours CPE credit through UT
2 hours GT credit through TAGT


Spring 2011 MTC Austin Workshop #3

posted Mar 25, 2011 3:52 PM by Adriana Sofer   [ updated May 5, 2011 8:32 AM by Altha Rodin ]

A Non-Standard Approach to Exploring the Rate of Change of Functions

March 24 2011  (NOA 1.102)

Presented by Dr. Armendáriz and Dr. Daniels
UT-Austin

 



2 hours CPE credit through UT
2 hours GT credit through TAGT

Spring 2011 MTC Austin Workshop #2

posted Feb 28, 2011 9:12 AM by Adriana Sofer

Magical Problems on Magic Squares and Magic Graphs
February 24 2011
NOA 1.102

Presented by Dr. Alison Marr
Southwestern University

2 hours CPE credit through UT
2 hours GT credit through TAGT

Spring 2011 MTC Austin Workshop #1

posted Jan 28, 2011 1:02 PM by Altha Rodin   [ updated Feb 28, 2011 9:25 AM by Adriana Sofer ]

Circle Chords & Cutting Planes
January 27, 2011
NOA 1.102

presented by
Jason Ermer

When we put n points on the boundary of a circle and connect all pairs of points, we divide the circle into regions.  If no more than two line segments meet at any one point, how many regions will there be?
Trying this for n = 1, 2, 3, 4, and 5, we see a nice pattern emerging.  However there is an unpleasant surprise in store when we test our conjecture for n = 6.  This problem is a nice example of why we must be careful when generalizing from special cases to the general case.  It is also a challenge to find and justify the real pattern at work here!

2 hours CPE credit through UT
2 hours GT credit through TAGT

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