Asilomar #3: 30 Excellent Math Problems

Session Title

From Tsuruda To Sicherman: 30 Of The Best Math Problems Ever

Better Title

Math Problems That Will Make You Feel Inadequate, With Your Host, Megan Taylor!

Presenter

Megan Taylor, Ph.D. student, Stanford [site]

Narrative

This one played out pretty schematically. We bounced from one problem to the next like some 90-minute National Geographic special on countries in Africa. If you came with a buddy, which I did, this kind of schema was perfect. Taylor was an engaging tour guide. She put one interesting problem up after another โ€“ some modern, others ancient; some canonical, others something her 7th-grade math teacher conjured up. She explained just enough of the set-up to establish constraints and pique our interest, and then got out of the way.

She gave very few answers to her own problems, which was confounding but effective. I closed my eyes last night and saw a broomstick broken in two places.

Visuals

PowerPoint. Probably the canniest use of the software I saw all conference. Few transitions or animations, if any. Large visuals, which, from slide-to-slide changed only by degrees. An arrow drawn here. A square filled in there, changes which were so subtle I’m positive that 90% of the crowd forgot she was using PowerPoint, which, for my money, oughtta be the goal of anyone using PowerPoint.

Handouts

Slide printouts, offering us ample room to work on problems. I have no idea how Will Richardson expects this kind of engagement using digital media. LaTeX? Maybe if we re-titled the session “One Of The Best Math Problems Of All Time [And One More If We Have Time].”

Homeless

  • Thanks, Rich! She pulled out the truncated tetrahedron activity at one point, which was really easy if, uh, you knew the solution in advanceWhat do you do in that situation, where you know the answer to a difficult problem, and don’t want to look like that know-it-all kid who knows that the only country in the world that starts with an “o” is “Oman.” I have no idea..
  • Forgot to snap a photo at this session so instead you get Asilomar’s State Beach. Gorgeous. Where did you say you do professional development, again?

Asilomar #2: Geogebra

Session Title

Visualize Algebra & Geometry Concepts With The Greatest Of Ease

Better Title

Geogebra Geogebra & Geogebra Geogebra With The Geogebra Of Geogebra

Presenter

Bill Lombard, Teacher [site & PowerPoint presentation]

Narrative

I downloaded Geogebra a million years ago and recognized immediately its value as a free alternative to Geometer’s Sketchpad but I shelved it in my Applications folder and didn’t touch it after that. Like I tweeted during the session, I’m probably the last person in the fifty states to get with this killer program, which lets you create geometric figures, intersect them, drag them, and watch the system change on the fly. This session served one invaluable purpose:

Bill Lombard sat me down for 90 minutes and forced me to play. He demoed the program and I just followed along.

This was a presentation, not a workshop, though, which put Bill Lombard in a difficult position. How do you convey the power of dynamic software when you’re just one guy using it at the front of the Asilomar chapel.

His solution was to ask for audience input and query at every turn.

“What color do you want this line?”

“What shape should we draw next?”

“What would be a good variable for this slope slider?”

Etc.

It was great. People gasped at various intervals, and I’m 99% sure I heard someone muffle a sob somewhere behind me, the software is just that beautiful.

Visuals

Combination PowerPoint & software demonstration.

Handouts

A tri-fold paper (not the only time I saw this format) useful mostly as a link to his personal site.

Homeless

  • A tall gangly guy walked in late and Lombard called him out in front of the entire crowd, “Hey, Guy! Hey, everybody, this is Guy Foresman.” Lombard continued with an oddly passive-aggressive introduction and the awkwardness of the moment was so overwhelming I seem to have repressed the memory. I vaguely recall Lombard telling everyone that Foresman is trying to turn this awesome, free, open source software into a lame, proprietary, end-user product. Foresman sat down, chagrined. It was like I was six and my parents were fighting.

Asilomar #1: YouTube Math

Session Title

YouTube Math: Politics, Advocacy, And The Internet

Better Title

Math: Politics And Advocacy

Presenter

Marianne Smith, consultant.

Narrative

I enjoyed this session a great deal considering I only realized I had little interest in it after it was too late. Smith wrote the only description in the program featuring the word “blog,” so I thought I’d get my token 21-century session out of the way as soon as possible.

She started with two YouTube videos, both out of Washington State, each taking an opposing side in their math war:

  1. Math Education: An Inconvenient Truth, featuring a Washington TV meteorologist, polished to a shine, representing procedural fluency.
  2. A Parents’ Guide to Math Education in Today’s Classroom [sic], representing conceptual fluency.

We spent fully one third of the presentation on a) those two videos and b) a think-pair-share discussion with our neighbors. Marianne Smith did a fabulous job facilitating discussion between attendees but now, only a day later, I recall little of what Marianne Smith thought about any of this.

She did report that a grassroots site in Washington succeeded in dethroning the Superintendent of Public Instruction (a proponent of conceptual fluency) and installing one of their own (big procedural fluency fan). Most of the attendees in our session advocated not one or the other but โ€“ get this โ€“ a blend of procedural and conceptual fluency. (I love these people.) Smith urged us to become more active on committees at the state level, to write our legislators, and to make YouTube videos advocating our point of viewSmith falls under the same category of tech user as my mom: really eager, really curious novices who use “a YouTube video” and “a YouTube” interchangeably. I can’t help finding these people really, really endearing..

The crowd was satisfied. I’m curious if anyone has written the how-to guide for educational activism using YouTube videos and blogs I thought this presentation would be. Does anyone who matters (on a policy-making level) even read these things?

Visuals

PowerPoint. Traditional. All-white background.

Handouts

A comprehensive bibliography of Internet links, which is weird, right? I’m pretty sure this was the first time I ever transcribed a YouTube link from paper to web browser. Facing the same dilemma in my own session I tagged all my online resources in Delicious, but there is probably a better solution.

Homeless

  • One particularly earnest and agitated audience member: “Maybe we should start a blog … get the word out.” This is how it all begins, isn’t it?

Asilomar Dispatch #1: Schedule

BTW: added links to session recaps.

I’m tweeting and blogging CMC-North in Monterey this weekend so get juiced. This is the tentative line-up:

Friday

  1. YouTube Math: Politics, Advocacy, And The Internet, Marianne Smith. [link]
  2. Visualize Algebra And Geometry Concepts With Greatest Of Ease, Bill Lombard. [link]
  3. From Tsuruda to Sicherman: 30 Of The Best Math Problems Ever, Megan Taylor. [link]
  4. PowerPoint: Do No Harm, Dan Meyer. [link]

Saturday

  1. Games And Puzzles That Develop Sequential Reasoning, Michael Serra. [link]
  2. Making High Content Math Movies And Music Videos, Robert MacCarthy. Students Take Charge Of Their Learning And Raise Test Scores, Kate Reed. [link]
  3. What Does A Complete, Balanced Curriculum Really Mean?, Tom Sallee. [link]
  4. Digital Story Telling With Mathematics, Brian Van Dyck. [link]

Sunday

  1. In Fact, It’s All About Data, Tim Erickson.

My closing remarks.

Expecting The Worst

CMC-Northa/k/a Asilomar starts Thursday and I present on Friday.

I have spent, cumulatively, 70+ hours organizing, illustrating, and supplementing a presentation which I have delivered twice to a total of eight people. I’m really proud of these ideas and really eager to discuss them with a larger crowd.

I backed my Keynote slides onto my iPhone yesterday, along with my audio and video supplements. You know, just in case my laptop fries and I have to deliver the whole thing from my mobile phone. Obviously, some part of me hopes my laptop fries.