The Game of 15

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=2 height=95 BGCOLOR="#999999" TEXT="#080000" bgproperties="fixed" background="061005f0ermwup.png"> <div> <FONT SIZE="5" COLOR="#FFFFFF" FACE="Arial" ><B>EDIT 797 - Performance Based Design</B></FONT><B>     </B><B>|     </B><A HREF="index.htm" TARGET="_top" TITLE="EDIT 797 Performance Based Design"><U><B>home</B></U></A></div> <div> back to the start of<B>  </B><A HREF="id284.htm" TARGET="_top" TITLE="10/28/2002"><U><B>10/28/2002</B></U></A></div> </td> </tr><tr> <td valign="top" width=190 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <IMG BORDER="0" SRC="1x1.gif" HEIGHT="14" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" WIDTH="14"><B>  </B><A HREF="id284.htm" TARGET="_top" TITLE="10/28/2002"><U><B><IMG SRC="05e0e0e0.png" border=0 width="14" height="14" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A><B>      </B><A HREF="id190.htm" TARGET="_top" TITLE="Best Representation"><U><B><IMG SRC="05f0e0e0.png" border=0 width="14" height="14" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A><B>  </B><A HREF="id192.htm" TARGET="_top" TITLE="Flight of the Bumblebee"><U><B><IMG SRC="0600e0e0.png" border=0 width="14" height="14" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> <A HREF="id182.htm" TARGET="_top" TITLE="Creating Representations"><U>Creating Representations</U></A></div> <div> <A HREF="id184.htm" TARGET="_top" TITLE="Good Representations"><U>Good Representations</U></A></div> <div> <A HREF="id185.htm" TARGET="_top" TITLE="Question"><U>Question</U></A></div> <div> <A HREF="id186.htm" TARGET="_top" TITLE="Answer"><U>Answer</U></A></div> <div> <A HREF="id187.htm" TARGET="_top" TITLE="Representations are abstractions"><U>Representations are abstractions</U></A></div> <div> <A HREF="id188.htm" TARGET="_top" TITLE="Web Sites"><U>Web Sites</U></A></div> <div> <A HREF="id189.htm" TARGET="_top" TITLE="Context"><U>Context</U></A></div> <div> <A HREF="id190.htm" TARGET="_top" TITLE="Best Representation"><U>Best Representation</U></A></div> <div> <B><IMG BORDER="0" SRC="Symb075c00b700c8bf000000.png" HEIGHT="13" WIDTH="24" ALIGN="bottom" HSPACE="0" VSPACE="0">The Game of 15</B></div> <div> <A HREF="id192.htm" TARGET="_top" TITLE="Flight of the Bumblebee"><U>Flight of the Bumblebee</U></A></div> <div> <A HREF="id193.htm" TARGET="_top" TITLE="The Towers of Hanoi"><U>The Towers of Hanoi</U></A></div> <div> <A HREF="id208.htm" TARGET="_top" TITLE="Different Perspectives"><U>Different Perspectives</U></A></div> <div> <A HREF="id195.htm" TARGET="_top" TITLE="Business Problem"><U>Business Problem</U></A></div> <div> <A HREF="id196.htm" TARGET="_top" TITLE="Reference Material Problem"><U>Reference Material Problem</U></A></div> <div> <A HREF="id197.htm" TARGET="_top" TITLE="Library Management"><U>Library Management</U></A></div> <div> <A HREF="id198.htm" TARGET="_top" TITLE="Library Management"><U>Library Management</U></A></div> <div> <A HREF="id199.htm" TARGET="_top" TITLE="Testing Usability"><U>Testing Usability</U></A></div> <div> <A HREF="id205.htm" TARGET="_top" TITLE="Summary"><U>Summary</U></A></div> </td> <td valign="top" height=385 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> The Game of 15</div> <div> <B>Representation 1:</B></div> <bR> <div> <B>Let's play the game of '15'.  The 'pieces' for the game are the nine </B></div> <div> <B>digits-1,2,3,4,5,6,7,8,9.  Each player takes a digit in turn.  Once a </B></div> <div> <B>digit is taken, it cannot be used by the other player.  The first player </B></div> <div> <B>to get three digits that sum to 15 wins.</B></div> <bR> <div> <B>Representation 2:</B></div> <bR> <div> <B>The game board</B></div> <bR> <div> <B> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="239" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 19 WIDTH="71"><div> 8</div> </tD> <tD VALIGN=TOP WIDTH="71"><div> 1</div> </tD> <tD VALIGN=TOP WIDTH="71"><div> 6</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 19 WIDTH="71"><div> 3</div> </tD> <tD VALIGN=TOP WIDTH="71"><div> 5</div> </tD> <tD VALIGN=TOP WIDTH="71"><div> 7</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 19 WIDTH="71"><div> 4</div> </tD> <tD VALIGN=TOP WIDTH="71"><div> 9</div> </tD> <tD VALIGN=TOP WIDTH="71"><div> 2</div> </tD> </tR> </TABLE></B></div> <bR> <div> <B>Representation 3:</B></div> <bR> <div> <B>Tic-tac-toe</B></div> <bR> <div> <B> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="233" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="VOID" RULES="ALL" ALIGN="LEFT" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 19 WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 19 WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 19 WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="19" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> </tR> </TABLE></B></div> <bR> <bR> <bR> <bR> <bR> <div> <B>For each representation, ask yourself:</B></div> <bR> <div> <B><IMG BORDER="0" SRC="Aria006c009500f0bf000000.png" HEIGHT="16" WIDTH="32" ALIGN="bottom" HSPACE="0" VSPACE="0">How many rules?          </B></div> <div> <B><IMG BORDER="0" SRC="Aria006c009500f0bf000000.png" HEIGHT="16" WIDTH="32" ALIGN="bottom" HSPACE="0" VSPACE="0">Calculations?                </B></div> <div> <B><IMG BORDER="0" SRC="Aria006c009500f0bf000000.png" HEIGHT="16" WIDTH="32" ALIGN="bottom" HSPACE="0" VSPACE="0">Memory?                      </B></div> <div> <B><IMG BORDER="0" SRC="Aria006c009500f0bf000000.png" HEIGHT="16" WIDTH="32" ALIGN="bottom" HSPACE="0" VSPACE="0">Complexity?  (1-10)      </B></div> <div> <B><IMG BORDER="0" SRC="Aria006c009500f0bf000000.png" HEIGHT="16" WIDTH="32" ALIGN="bottom" HSPACE="0" VSPACE="0">Suit most people?          </B></div> <div> <B><IMG BORDER="0" SRC="Aria006c009500f0bf000000.png" HEIGHT="16" WIDTH="32" ALIGN="bottom" HSPACE="0" VSPACE="0">Contain essential elements only? </B></div> <div> <B><IMG BORDER="0" SRC="Aria006c009500f0bf000000.png" HEIGHT="16" WIDTH="32" ALIGN="bottom" HSPACE="0" VSPACE="0">Represent the problem/task?             </B></div> <bR> </td> </tr></table></body>