Monday, December 7, 2009

EDC 664 - Learning Adventure #7 - 3N Mathematical Adventure

When I made an attempt to work on this learning adventure, I was thinking like this should be fun since I like Mathematics and it would seem only fair to leverage this type of "adventure" after reading Pappert talking about the "language called Mathematics" can shape the way we think about the world and life around us.

For the most part, I leveraged my cadremates to help come up with a way to track the numbering scheme.  This information was recorded by Nick in a spreadsheet over a matter of 2-3 days trying to count the "number."  The other thing that stuck out was trying to understand the formula on how to capture the number of times of seeing the "number" and documenting the output.  What made it fun was that we all had a bit of a challenge at first but, we all came together to talk about how each of us was trying to record and document this exercise.

After all the work that was applied, Cramer came up a C# program to tally it up.  The other way we could've possibly worked this out was by slowing the program down in MicroWorlds EX. (just a thought).  Nevertheless, it was a great opportunity to brainstorm and to come up with an approach to grasp the concept that was presented to us.

Later on, I found out that this was part of a long-time algorithm called "The Collatz conjecture" which is an unsolved conjecture in mathematics named after Lothar Collatz, who proposed this in 1937.  Again, thank you for this learning adventure.  It had us stumped for a little bit but, we survived it by thinking and working together.

Thank you for allowing me to share my thoughts.

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