Category: Uncategorized

  • Hungarian Dancing and Sorting Algorithms

    My brother and later a colleague sent me this link to these videos demonstrating Computer Sorting Algorithms through Hungarian Folk Dance:



    The Bubble Sort and Shell Sort algorithms are demonstrated. Wow!


    Credits from the video: 

    Created at Sapientia University, Tirgu Mures (Marosvásárhely), Romania.Directed by Kátai Zoltán and Tóth László. In cooperation with “Maros Művészegyüttes”, Tirgu Mures (Marosvásárhely), Romania.Choreographer: Füzesi Albert. Video: Lőrinc Lajos, Körmöcki Zoltán. Supported by “Szülőföld Alap”, MITIS (NGO) and evoline company.


    So, this is actually a Transylvanian video.

    I first learned the algorithms in high school from the Art of Computer Programming, ancient tomes written by Donald Knuth, and also in my AP Computer Science class, the first year it was offered. We wrote our code on paper, and eventually implemented the programs in Pascal on state-of-the-art Apple ][‘s, once the teacher figured out how to load it on the computers!

  • Fiber Arts and Mathematics

    Crafting by Concepts: Fiber Arts and MathematicsWow! This book claims to show 8 ways to knit a Sierpinski’s Triangle!
    Crafting by Concepts: Fiber Arts and Mathematics
    by sarah-marie belcastro and Carolyn Yackel (editors).
    The publisher, A K Peters , has one of the most amazing math catalogs that I know of. Very much worth browsing!
  • How to Celebrate Pi Day

    The MAA now hosts a Pi Day webpage: http://maa.org/piday/
    This is a must-visit site for next year’s Pi Day.
    How did you celebrate Pi Day?

  • Roundtables at East Side Community High School

    I just got word from Tom Mullen, the AP at East Side Community High School, that the roundtables are back! Here’s the link to sign up:
    https://spreadsheets.google.com/viewform?formkey=dFRqbzFTZzI5OWtGeGY1eDFlN0NqQWc6MA

    Clicking on the above link brings you to the description and schedule below. I’ve been attending the round tables for several years, and they are definitely worth attending.

    East Side Community School’s January 2011 Roundtable Presentations

    Thank you for your interest in participating in East Side Community School’s Portfolio Roundtable Presentations. These 6th through 12th grade presentations are an authentic and powerful way for our students to demonstrate what they have learned this year. Your participation makes the experience even more meaningful and rewarding for our students. Roundtables run from Friday, January 21 to Friday, January 28. If you would like to participate, please complete the form below. You will get to choose the date, subject, grade level, and the time of the presentation. Feel free to sign up for as many presentations as you like. If you have colleagues who would like to attend, please have them complete the form or you may complete the form for them. Once you complete the form, you can assume that you are confirmed for that time slot (no confirmation email will be sent). East Side Community High School is located on 11th St. between 1st Ave. and Ave. A. You may go to the main office on the second floor to find out your room number. Please arrive a few minutes before the presentations begin. The following presentations take place on the days below:

    • Friday, 1/21: 9th Physics; 10th History; Algebra 2; 12th English 
    • Monday, 1/24: Algebra; 10th English; 11th Biology; 12th History 
    • Tuesday, 1/25: 11th English; 10th Chemistry; Pre-Calculus; Calculus, 9th History; 7th English; AP English 
    • Wednesday, 1/26: 9th English; Geometry; 8th Science; 6th Science; 7th History 
    • Thursday, 1/27: 6th English; 12th Science PBATs; 8th Math; 7th Math; 11th History 
    • Friday, 1/28: 6th Math; 8th English; 7th Science; 8th History  

    If you would like to participate complete the form below. If you have any questions, contact Tom Mullen, Assistant Principal, at tomm@eschs.org or (212) 460-8467 x3152.

  • Two Summer 2011 Middle School Math Programs

    I just heard from Steve Maurer, the academic director of MathPath, a summer math program for middle school students. His program has run since 2002, and the math instructors are something of a dream team, featuring some famous mathematical names such as John Horton Conway (well-known genius mathematician), Titu Andreescu (who runs the American Math Competitions) and Sam Vandervelde (author of Circle in a Box).

    This program seems ideal for middle school students who are already budding mathematicians. They’ve previously recruited students who have done well at math competitions, but are now making a concerted effort to reach out to math circle participants who are motivated by the excitement of mathematics itself. I hope this new effort succeeds! Teachers and math circle organizers: please send some great students towards MathPath!

    MathPath
    Dates: Sunday, June 26 to Sunday, July 24, 2011
    Location: Colorado College, Colorado Springs, CO

    Another really interesting summer math program for middle school students that I’m in contact with is brand new this year, the Summer Program in Mathematical Problem Solving (SPMPS). This program also has ties to the high school level Canada USA Mathcamp (http://www.mathcamp.org/) but its target audience is quite different: underserved New York City middle school students with talent in math. One goal is to set these students on their own math path and to open up access for them to the wealth of high school math programs enjoyed by students at more privileged schools. I wonder how many mathematicians will eventually come out of SPMPS?

    I’ve been helping the director of SPMPS, Dan Zaharopol, to network with underserved middle schools in  NYC, and he’s off to an exciting start. Dan has sponsorship from the Art of Problem Solving Foundation to start his program at Bard College this summer. It promises to be a great program, and I wish him luck!

    Summer Program in Mathematical Problem Solving
    UR: http://www.artofproblemsolving.org/spmps/
    Dates: Monday, July 11 to Monday, August 1
    Location: Bard College, Annandale-on-Hudson, NY

  • Nice LaTeX Reference

    I just noticed that Wikibooks features a decent LaTeX reference: http://en.wikibooks.org/wiki/LaTeX

  • The Grasshopper Problem

    This is my newest problem, to appear in the October 2010 issue of La Voz.

    What is this picture asking? Ben suggested that instead of bold black squares, I should have indicated the squares with something especially significant to grasshoppers. Something tasty or something dangerous?

    Where did this come from? This problem is related to a derivation of the formula for Primitive Pythagorean Triples: Find all relatively prime natural number triples (a,b,c) that satisfy the equation

    The first step in my favorite elementary number theory proof is to show that not both a and b are odd. This would imply that c is one of the shaded squares above: 2, 6, 10, 14, …

    Does the grasshopper land on a (boxed) square?

  • Bard Math Circle meets in the Kingston Library

    I’m helping the Bard Math Circle start up math circle activities in the Kingston Library.

    Each session will include time for puzzles and games, creative mathematical problem solving, and a hands-on math activity with a take-away.
    Meetings this fall: 1pm to 3pm on each second Saturday (September 11, October 9, November 13 and December 11) at the Kingston Library (55 Franklin Street, Kingston NY, 12401).

    First meeting: 1pm to 3pm on Saturday, September 11, 2010.
    Please forward these posters (or download and print).

    Poster (Español) Circulo de Matemáticas en Kingston

    This math circle activity is also mentioned in the August 30, 2010 Kingston Community Builder.
    I’m grateful to Margie Menard, director of the Kingston Library, for sending out this press release.
    Thanks for helping me get the word out!
  • Following Math Blogs

    I’ve slowly been entering the world of math blogging, first by reading blogs, and now by posting a note occasionally on this blog. There is an amazing world of math bloggers out there, some I’m proud to know in person, and so many worth reading.

    Here’s a post claiming to be the top 25 classroom math bloggers: http://www.onlinedegrees.org/top-25-blogs-for-math-in-the-classroom/, which may be the best list to get started. Give it a read!