Today’s second-ish grade math club was the biggest club we attended in three years! We kicked the semester off with 10 happy kids. Prior to that (three years we have been coming to Maria’s clubs) we hadn’t exceeded six in our age group. We were very glad to be starting the new semester!
SHOW AND TELL
The club started with five of the kids presenting their math inspirations/show and tell and the group finding math in them. The items were as follows:
1. Origami – symmetrical, 3-D and 2 wings
2. Nautilus fossil – textures. Textures are mathematical and can be measured. A texture measuring instrument was passed around (Maria has everything!) Some kids began drawing nautiluses.
3. Abacus – Different ways of using an abacus were discussed.
4. Action figure – 3-D, lego, combinations. This led to a discussion of colors and are they mathematical? YES. Hue, Brightness and Saturation are all assigned numbers.
5. Koala bear – 3D, colors, FLUFF. The FLUFF became the mystery of the day. How is FLUFF mathematical?
INFINITY ACTIVITY
Maria next asked the kids to draw a portrait of infinity. What does infinity mean? Kids started drawing the symbol for infinity, but Maria asked again, what does infinity look like, and not the symbol?
· One kid, who assigns color to numbers consistently and regularly (ok, he is mine) says that infinity is gray.
· Infinity goes on and on and on
· Mirror books show infinity.
· On kid drew a butterfly/person-like infinity mascot
· Blank paper
· Nautilus shell
· Visible light spectrum
OUTDOOR EXPERIENTIAL ACTIVITY
We went outside and did an experiential activity. The kids and parents got in a circle and held hands. They the put their right hands in the circle and grabbed another person’s right hand. The same happened with the left hands. Somehow they goofed and there was one extra, unheld hand, so they started again. The second time there were no unheld hands. The kids and parents had to untangle themselves from this human knot without letting go. The did it successfully, with two people having their back to the group. This was a great thinking and teambuilding activity, but I am not certain how it is related to infinity, other than it is a circle with no start or end, and infinity exists even when it is tangled up. MARIA – THOUGHTS PLEASE!
BREAK AND GREEN PEPPER MATH
We took a break and did some green pepper math, focusing on edges and holes when the peppers are cut. An edge is a section of pepper that has been cut and the cut continues unbroken.
Maria cut off the top and asked how many edges? 2
She cut again and asked how many edges? The possible answers shouted out were 2, 3, 4, and 6. The correct answer was 4. Some forgot that the edge had to be continuous, so even if the edge formed a right angle, it was still one edge and not two for example. Other kids remembered this rule.
She cut again and the possible answers were 5, 6 and 7. The answer was 6.
She cut again and the answer was 8.
Then we did some similar banana math.
STORY
After break Maria told a paradox story about aliens and hotels to encourage more exploration about infinity, and she drew the story on a whiteboard. It was brilliant! It went something like this:
The hotel was named Hotel Infinity. It had infinity number of rooms and infinity number of aliens staying in the rooms. They really liked it there and never left. A new spacewalker person showed up and wanted a room. How should he be put in a room? The kids ideas were:
1. Kick out an alien
2. Build a room
3. Find another shelter
4. Share a room with another alien
5. Continue his journey
6. Make a spaceship
Freddy the desk clerk gets on the speaker system and announces that each alien should go to the room with the next number, so Alien 1 goes to room 2, Alien 2 goes to room 3 and so forth. Room 1 is now empty for the new visitor. If there are infinity rooms and infinity aliens and there is now one more alien in a room, then the equation is ∞ + 1 = ∞. The kids clearly got it.
Two more aliens showed up in need of rooms and all aliens had to move two rooms over from where they were staying, thus freeing rooms 1 and 2 for the newcomers. One kid liked the visual pattern of each alien shifting 2 rooms that Maria drew on the whiteboard. The kids realized that the new equation is ∞ + 2 = ∞. Infinity always equals infinity.
Then the lesson ended and everyone had a ball. Very wonderful class today, Maria!
Laura Combs
www.movingstronglyforward.typepad.com
The older I get, the better I feel!
SHOW AND TELL
The club started with five of the kids presenting their math inspirations/show and tell and the group finding math in them. The items were as follows:
1. Origami – symmetrical, 3-D and 2 wings
2. Nautilus fossil – textures. Textures are mathematical and can be measured. A texture measuring instrument was passed around (Maria has everything!) Some kids began drawing nautiluses.
3. Abacus – Different ways of using an abacus were discussed.
4. Action figure – 3-D, lego, combinations. This led to a discussion of colors and are they mathematical? YES. Hue, Brightness and Saturation are all assigned numbers.
5. Koala bear – 3D, colors, FLUFF. The FLUFF became the mystery of the day. How is FLUFF mathematical?
OUTDOOR EXPERIENTIAL ACTIVITY
We went outside and did an experiential activity. The kids and parents got in a circle and held hands. They the put their right hands in the circle and grabbed another person’s right hand. The same happened with the left hands. Somehow they goofed and there was one extra, unheld hand, so they started again. The second time there were no unheld hands.
The kids and parents had to untangle themselves from this human knot without letting go. The did it successfully, with two people having their back to the group. This was a great thinking and teambuilding activity, but I am not certain how it is related to infinity, other than it is a circle with no start or end, and infinity exists even when it is tangled up. MARIA – THOUGHTS PLEASE!
BREAK AND GREEN PEPPER MATH
We took a break and did some green pepper math, focusing on edges and holes when the peppers are cut. An edge is a section of pepper that has been cut and the cut continues unbroken.
STORY
After break Maria told a paradox story about aliens and hotels to encourage more exploration about infinity, and she drew the story on a whiteboard. It was brilliant! It went something like this:
The hotel was named Hotel Infinity. It had infinity number of rooms and infinity number of aliens staying in the rooms. They really liked it there and never left. A new spacewalker person showed up and wanted a room. How should he be put in a room? The kids ideas were:
1. Kick out an alien
2. Build a room
3. Find another shelter
4. Share a room with another alien
5. Continue his journey
6. Make a spaceship
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Divergent thinking got me thinking about a common practice in TV writing (or so I'm told). When stuck on a plot solution try an obviously wrong solution to get the creative juices flowing.
Brendan Murphy
http://twitter.com/dendari
Thanks for the additions and explanations, Maria! You make math more exciting and illuminating than I would have ever known.
Laura
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A few of my comments are below. You can see photos from the club here:
http://www.flickr.com/photos/26208371@N06/tags/naturalmathclub01272011/show/
This is not the official write up, but I have to share a moment from today’s awesome class that was especially awesome. The kids were sitting on the blanket for show and tell. They were making straw sculptures while math discussions around show and tell were occurring. The group was a little rambunctious until about ¾ of the way through. Then Delta said that the body was infinity, which caused kids and adults to pause and think, and then MaryAnn (maybe – maybe it was someone else?) said that time was infinity. At that point in the discussion the group became noticeably calm and a very organic, non-facilitated discussion grew around time being infinity, with five or so kids externally sharing their “ah-ha” moments around time and infinity. I sat back in awe and watched them, realizing that at ages 6 – 8 they were having this really profound discussion around a concept that I didn’t explore until well into my 30s. It was such a natural and gorgeous moment.
Thank you, Maria, for your time and energy to create the opportunities that you do! Simply amazing.
Laura
I was wrong on who began the Time is Infinity discussion. It was Delta. Thanks, Delta!
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What an incredible story! Thank you for sharing! Sounds like Bohmian Dialogue where conversation rises from the silence rather than to fill the silence. On Feb 3, 2:01�pm, "Laura Combs" <laura_co...@bellsouth.net> wrote:This is not the official write up, but I have to share a moment from today�s awesome class that was especially awesome. The kids were sitting on the blanket for show and tell. They were making straw sculptures while math discussions around show and tell were occurring. The group was a little rambunctious until about � of the way through. Then Delta said that the body was infinity, which caused kids and adults to pause and think, and then MaryAnn (maybe � maybe it was someone else?) said that time was infinity. At that point in the discussion the group became noticeably calm and a very organic, non-facilitated discussion grew around time being infinity, with five or so kids externally sharing their �ah-ha� moments around time and infinity. I sat back in awe �and watched them, realizing that at ages 6 � 8 they were having this really profound discussion around a concept that I didn�t explore until well into my 30s. It was such a natural and gorgeous moment. Thank you, Maria, for your time and energy to create the opportunities that you do! Simply amazing. Laura
Wow, Annette, thanks for filling in some more of the story. I was so mesmerized by the discussion, and I was not the note taker, that much of it escaped me. I remember the infinity in our eyes part – that was AMAZING! I think that was MaryAnn who said that. I know she said something that blew me away.
Smiles,
Laura
From: natur...@googlegroups.com [mailto:natur...@googlegroups.com] On Behalf Of Annette
Sent: Saturday, February 05, 2011 10:12 AM
To: natur...@googlegroups.com
Subject: Re: [NaturalMath] Re: Math Club 2nd gradish class today
Laura;
Thank you for sharing this. :) Makes me feel very grateful that we are a part of this group. I had the same experience and was completely humbled by how infinitely wise our children are. How they can be rambunctious one moment and be a channel for profound truth/genius the next. For sure it only re-emphasizes the fact that we are each students and teachers to each other....no matter the age.
I cannot remember the little girls name that was sitting next to Delta (she has also sat next to my boys at the table) but after Delta said that her little fluffy kitty's eyes had infinity in them, this little girl said, "Hey, we all have infinity in our eyes" which led to her projection of her inner aha of "I am infinity" followed by "we all have infinity inside us." The progression of the discussion was amazing and yes, very organic (great word for the moment) along with the shift in attention.
I second your sentiment to Maria as well. Hope everyone has a "warm" and amazing weekend.
Annette
On 2/3/2011 10:50 PM, Jen wrote:
What an incredible story! Thank you for sharing! Sounds like Bohmian
Dialogue where conversation rises from the silence rather than to fill
the silence.
On Feb 3, 2:01 pm, "Laura Combs" <laura_co...@bellsouth.net> wrote:
This is not the official write up, but I have to share a moment from today’s
awesome class that was especially awesome. The kids were sitting on theblanket for show and tell. They were making straw sculptures while mathdiscussions around show and tell were occurring. The group was a little
rambunctious until about ¾ of the way through. Then Delta said that the body
was infinity, which caused kids and adults to pause and think, and then
MaryAnn (maybe – maybe it was someone else?) said that time was infinity. At
that point in the discussion the group became noticeably calm and a veryorganic, non-facilitated discussion grew around time being infinity, with
five or so kids externally sharing their “ah-ha” moments around time andinfinity. I sat back in awe and watched them, realizing that at ages 6 – 8
they were having this really profound discussion around a concept that I
didn’t explore until well into my 30s. It was such a natural and gorgeous
moment.Thank you, Maria, for your time and energy to create the opportunities thatyou do! Simply amazing.Laura
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