On Sat, Nov 20, 2010 at 3:19 PM, Caryl Bigenho <span dir="ltr"><<a href="mailto:cbigenho@hotmail.com" target="_blank">cbigenho@hotmail.com</a>></span> wrote:<br><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div><div>they want to create math games for these children to use on the XOs.</div></div></blockquote><div>Wonderful. Games are a great way to learn. A couple of games come to mind:</div><div><ol><li>Tic-Tac-Toe</li><li>
Bingo</li><li>Guess my Rule</li></ol></div><div><br></div><div><u><b>Tic-Tac-Toe</b></u></div><div><br></div><div>One really good game is tic-tac-toe with some math twists. This is based on a teacher warm-up developed by Robert Davis as part of the Madison project. First draw a grid of dots 5 x 5. Break the kids into two teams and have the kids pick two numbers between 0 and 9 (let's say they pick 2 and 4) you start at the dot in the lower left and count from 0 to 2 (getting to the third dot) then count up from 0 getting to the fourth do and place an X. Then the other team goes and their mark is O. You get the idea, if they go off the board simply say sorry you moved off the board. This will teach them counting and coordinate geometry all without having to explicitely tell them what they are learning. Part of the key is to NOT explain the rules to the kids and let them figure it out. Varying versions of this can be created in Etoys. You can then extend the game to include concepts like "a number is all the ways you can name it" where they pick two numbers and you apply an operation to those numbers (you could have them guess the operation as part of the game as well, see guess my rule below). You can also use it when introducing negative numbers by moving the origin so that they have to use negative numbers to win. Here is a<a href="http://mrstevesscience.blogspot.com/search/label/Robert%20B.%20Davis" target="_blank"> link to a post</a> I wrote about the game a while back.</div>
<div><br></div><div><b><u>Bingo</u></b></div><div>I got this idea from Avigail Snir, who created a Bingo game for kids where they are given two or three numbers and asked to apply mathematical operations to those numbers to come up with a number on their Bingo board. </div>
<div><br></div><div><br></div><div><b><u>Guess my Rule</u></b></div><div><b><u><br></u></b></div><div>This was another game created by Robert Davis to teach kids about functions. The function machine (played by a student or teacher) comes up with a rule (ex: x +2, x *2, (x + 1) * 2, etc) then the players say a number and the function machine spits out the answer. The players have to "guess the rule". Eventually this leads to some interesting conversations when some kid comes up with a rule like (x + 2 - 3 + 4) * 2 / 2. Then you can have a good class discussion about functional equivalence. This can be rendered in Etoys by building a function machine, where a number is dropped into the machine and out the other end comes the answer. You could also create a table of answers and plot the answers, which leads to more interesting observations and learning. Part of the key is to make as much of the invisible visible (through showing the table of answers and the plots).</div>
<div><br></div><div><b><u><br></u></b></div><div><b><u>General Comments on games created to "teach math"</u></b></div><div>The problem with a lot of games I have seen created by kids (and adults) is that they are what I will call "teach me to memorize calculation rules" as opposed to teach me to do the other parts of mathematics (from <a href="http://www.ted.com/talks/conrad_wolfram_teaching_kids_real_math_with_computers.html">Wolfram Ted talk</a>):</div>
<div><ol><li>Posing the right questions</li><li>Real world -> math formulation (or a Etoys model)</li><li>Computation</li><li>Math formulation -> real world, verification. I am purposely avoiding terms like "school math" vs "real math" because that is a distinction I would like to see erased, and also it can offend and put folks on the defensive (the goal is to win the person, not the argument).</li>
</ol></div><div>One 10 year old I have worked with said he built a math game in Scratch. When I asked him about it, he described it as "a math that only a parent could love" because it was about practicing rote calculation. </div>
<div><br></div><div>Another way to think about it is they are creating "playthinks" (objects to think/play with that embody and/or expose certain powerful ideas). I got this term from "<a href="http://www.amazon.com/Big-Book-Brain-Games-Mathematics/dp/0761134662">The Big Book of Brain Games</a>" by Ivan Moscovich. Cuiesenaire Rods and Pattern Blocks could be used here.</div>
<div><br></div><div>In other emails I wlll send examples of each type of project. Part of the challenge will be deciding "what should be easy and what should be hard" for the kids in creating their own games. The answer to that question will guide the facilitators in how much they want to show them ready made projects vs having kids create Etoys projects from "scratch". Some of the techniques are not easily discoverable (which is good and bad).</div>
<div><br></div><div>Another thought besides math games is to create "Etoys Challenges" (for an excellent example try the "Etoys Challenge game" from the "Tutorials and Demos" section off the Etoys "home page". The kids could create sample projects where the students use a set of "pre-selected" tiles to perform a task or program a car or robot.</div>
<div><br></div><div><br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div>Their project director is a math teacher and she wants her students to try again this year to create math learning games for the children in their project in Ghana. I suggested she try Etoys this time and promised to get her more information on how to do it. Anything they create will be at a very elementary level as most of the children in the shelter have had no prior school experience. </div>
</div></blockquote><div>So I am reminded of the story Alan tells of kindergardeners learning calculus concepts. Just because the kids have no prior school experience does not mean they can not grasp "more advanced concepts" if they are presented using appropriate metaphors and concrete representations. Combinatorics for example, the kids could create some games where they see "how many different outfits can you make with <u>two</u> diferent color shirts and <u>two</u> different color pants. You could have the kids "prove" (discuss their reasoning as to why they think theythey have found all the possible combinations as they increase the number of pants and shirts.</div>
<div><br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div>Their lessons in Etoys should be as language neutral as possible and the words they do use can be translated and used by deployments anywhere so this could be a very useful project.</div>
</div></blockquote><div>The other advantage of being "language neutral" is that this should tend to help "put concepts first" and keep the terminology to a minimum. It seems to me that introducting terminology too early, is what gets in the way of learning the concepts.</div>
<div><br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div>So I have some questions about things I need to know to help them.</div><div><br></div><div>How do you transfer an Etoys lesson to the XO (they will have both XO-1s and XO-1.5s) if they lessons are created: </div>
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<div><br></div><div>On a Mac using Etoys downloaded from the web:</div><div><br></div><div>On a PC using Etoys downloaded from the web:</div><div><br></div><div>On Etoys to go downloaded from the web and, possibly used on both Macs and PCs (they have both at New Tech):</div>
</div></blockquote><div>All Etoys projects (.pr files) can be run on any version (by which I mean the Mac, PC and Etoys to go versions, not version 3 vs 4, which may presesnt some issues I will go into later). </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
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<div><br></div><div>Is there a good way to disseminate the projects so that the children won't accidentally erase them... perhaps by using SD cards or USB sticks? Cost is a factor.</div></div></blockquote><div>If they can be downloaded from the Web there is no cost.</div>
<div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div>Or... could they make a custom build for their project that would include their Etoys lessons in a way that they wouldn't accidentally be erased?</div>
</div></blockquote><div>I need to double check this for the XO, but Etoys projects would have to be explicitely erased from the machines. Each time you "save a project" it creates a new version. </div><div><br>
</div><div>Also I would recommend they use Books and flaps in their projects. Books are found in the supplies bin and have a menu option to make the in page controls to make the pages revertible (ie: save its current state and when I use or fire the tile "revert page" all objects on that page go back to the saved state). Flaps are very useful for instructions. hints and guides. They can be found in the supplies bin of Etoys 4.1+ in earlier versions click (<CMD><,> or <CTRL><,>) and you will get a menu with one of the options as "flaps..."</div>
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<div><br></div><div>I will probably have more questions as we go along, but this will help get us all started. </div></div></blockquote><div>Please we love questions ;) </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div><div><br></div><div>GrannieB (Caryl)</div><div><br></div><div>For more info about NewTech@Coppell:</div>
<div><br></div><div><a href="http://www.coppellisd.com/newtech/lib/newtech/pdfs/demonstrationsiteprofile.pdf" target="_blank">http://www.coppellisd.com/newtech/lib/newtech/pdfs/demonstrationsiteprofile.pdf</a></div><div>
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</div><div><a href="http://www.newtechnetwork.org/newtech_schools" target="_blank">http://www.newtechnetwork.org/newtech_schools</a> (watch the video linked in the upper right corner to see how the school works)</div><div>
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