Chat Index	Date	Time Start Typing	Time of Posting	Aznx	Quicksilver	bwang8	Gerry	jsarmi	tutor	rtoledosj	Refers to
1	05/09/2006		18:17:35				joins the room
2	05/09/2006		18:23:13			joins the room
3	05/09/2006		18:23:14	joins the room
4	05/09/2006		18:23:14		joins the room
5	05/09/2006	18:23:17	18:23:18			hi
6	05/09/2006	18:23:22	18:23:23	Hi
7	05/09/2006	18:23:27	18:23:28		hey
	05/09/2006	18:23:27	18:23:29			[bwang8 has fully erased the chat message]
8	05/09/2006	18:23:26	18:23:35	So we can't have our own friends?
	05/09/2006	18:23:32	18:23:37			[bwang8 has fully erased the chat message]
9	05/09/2006	18:23:38	18:23:40			nope
10	05/09/2006	18:23:48	18:23:49			lol
11	05/09/2006	18:23:46	18:23:52		hey three of us are from miller
	05/09/2006	18:23:51	18:23:52			[bwang8 has fully erased the chat message]
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12	05/09/2006	18:23:50	18:23:55				Hi everyone!
	05/09/2006	18:23:57	18:23:58			[bwang8 has fully erased the chat message]
13	05/09/2006	18:24:02	18:24:03			oh
14	05/09/2006	18:23:58	18:24:06				I am your VMT guide today
15	05/09/2006	18:24:06	18:24:06	How?
	05/09/2006	18:24:06	18:24:10			[bwang8 has fully erased the chat message]
16	05/09/2006	18:24:10	18:24:12		nvrmind
17	05/09/2006	18:24:12	18:24:13		two of us
18	05/09/2006	18:24:09	18:24:13	Who's Gerry?
19	05/09/2006	18:24:18	18:24:19			admin
20	05/09/2006	18:24:16	18:24:19	Yeah. =)
21	05/09/2006	18:24:42	18:24:45		Hello Gerry!
22	05/09/2006	18:24:31	18:24:59				Today's session is mainly to get to know the VMT system
23	05/09/2006	18:25:07	18:25:18	So, how do you use the whiteboard?
	05/09/2006	18:25:10	18:25:22			[bwang8 has fully erased the chat message]
	05/09/2006		18:25:25			[bwang8 created a line ]
	05/09/2006		18:25:29			[bwang8 deleted some object/s ]
24	05/09/2006	18:25:27	18:25:51				I will answer your questions as you start to do things
25	05/09/2006	18:25:58	18:25:59			asdfadsf					[1] Reference to whiteboard (whiteboardDoc)
26	05/09/2006		18:25:59
	05/09/2006		18:26:07			[bwang8 created a line ]
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27	05/09/2006	18:26:13	18:26:15			ok
28	05/09/2006	18:26:10	18:26:27				The whiteboard is a shared area for drawing and textboxes
29	05/09/2006	18:26:32	18:26:56				What you put there is seen by everyone in this room, just like the chat messages				[1] Reference to message No. 28 (Text: The whiteboard is a shared area for drawing and textboxes )
	05/09/2006		18:26:57			START:TextEditing
	05/09/2006		18:27:03			END:TextEditing
	05/09/2006		18:27:14			START:TextEditing
30	05/09/2006	18:27:10	18:27:18	It seems they only last for a while thoough/
31	05/09/2006	18:27:23	18:27:26			i delete them
	05/09/2006	18:27:21	18:27:33	[Aznx has fully erased the chat message]
	05/09/2006	18:27:37	18:27:38			[bwang8 has fully erased the chat message]
32	05/09/2006	18:27:36	18:27:47	Does that mean in the real time, all the work would be there?
33	05/09/2006	18:27:43	18:27:48			can you see main topic?
34	05/09/2006	18:27:35	18:27:53				Since things are shared, you should be careful about deleting
35	05/09/2006	18:27:57	18:28:02			no, my things
36	05/09/2006	18:28:07	18:28:10			just testing
37	05/09/2006	18:28:11	18:28:14			functions
	05/09/2006		18:28:19			END:TextEditing
	05/09/2006		18:28:31			[bwang8 created a line ]
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	05/09/2006		18:28:35			[bwang8 created a line ]
38	05/09/2006	18:28:28	18:28:40				remember, you are trying to collaborate				[1] Reference to message No. 35 (Text: no, my things )
	05/09/2006		18:28:42		[Quicksilver deleted some object/s ]
39	05/09/2006	18:28:45	18:28:46			ok
40	05/09/2006	18:28:45	18:29:12				You can click on the button at the top that says "View Topic" to see the math problem
41	05/09/2006	18:29:32	18:29:32			ok
42	05/09/2006	18:29:33	18:29:50			are we suppose to solve it now?
43	05/09/2006	18:29:29	18:30:13				Then you can click on the button in the little window that appears to open the topic in another big growser window
44	05/09/2006	18:30:32	18:30:36				browser*				[1] Reference to message No. 43 (Text: Then you can click on the button in the little window that appears to open the topic in another big growser window )
45	05/09/2006	18:30:33	18:30:40	It didn't open.
46	05/09/2006	18:30:50	18:30:52	Now it did.
47	05/09/2006	18:31:25	18:31:32	So, are we supposed to work together?
	05/09/2006	18:31:25	18:31:45			[bwang8 has fully erased the chat message]
48	05/09/2006	18:31:48	18:31:49			yeah
49	05/09/2006	18:31:50	18:31:50			ok
50	05/09/2006	18:31:51	18:31:54				Exactly!				[1] Reference to message No. 47 (Text: So, are we supposed to work together? )
	05/09/2006	18:31:51	18:31:57		[Quicksilver has fully erased the chat message]
51	05/09/2006	18:31:59	18:32:04	Aditya, you there?
52	05/09/2006	18:31:52	18:32:05			you can divide the thing into two parts
	05/09/2006		18:32:09			[bwang8 created a line ]
53	05/09/2006	18:32:06	18:32:10	Let's start this thing.
	05/09/2006		18:32:11			[bwang8 created a line ]
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54	05/09/2006	18:32:30	18:32:38		my computer was lagging...What are we doing?						[1] Reference to message No. 50 (Text: Exactly! )
55	05/09/2006	18:32:48	18:32:49	http://home.old.mathforum.org/SFest.html
56	05/09/2006	18:32:52	18:32:58		what are the lines for?						[1] Reference to message No. 43 (Text: Then you can click on the button in the little window that appears to open the topic in another big growser window )
57	05/09/2006	18:32:57	18:33:01	go to view topic
58	05/09/2006	18:32:42	18:33:05			so you can see we only need to figur one out to get the total stick
59	05/09/2006	18:33:04	18:33:09	read the problem
60	05/09/2006	18:33:08	18:33:32			1+2+3+........+N+N
	05/09/2006	18:33:33	18:33:36	[Aznx has fully erased the chat message]
61	05/09/2006	18:33:34	18:33:38			times that by 2
62	05/09/2006	18:33:35	18:33:40		Never mind I figured it out..
	05/09/2006	18:33:41	18:33:43			[bwang8 has fully erased the chat message]
63	05/09/2006	18:33:51	18:34:01	Can we collaborate this answer even more?
64	05/09/2006	18:34:02	18:34:05	To make it even simpler?
65	05/09/2006	18:34:14	18:34:15			ok
66	05/09/2006	18:34:07	18:34:16	Because I think we can.
67	05/09/2006	18:34:25	18:34:50			((1+N)*N/2+N)*2
68	05/09/2006	18:34:52	18:34:58			that's the formula, right?
	05/09/2006	18:34:43	18:35:05	[Aznx has fully erased the chat message]
69	05/09/2006	18:35:09	18:35:15	How did you come up with it?
70	05/09/2006	18:35:12	18:35:16			for total sticks
	05/09/2006	18:35:17	18:35:19	[Aznx has fully erased the chat message]
	05/09/2006	18:35:25	18:35:26			[bwang8 has fully erased the chat message]
	05/09/2006	18:35:20	18:35:28	[Aznx has fully erased the chat message]
71	05/09/2006	18:35:27	18:35:34			is a common formual					[1] Reference to message No. 67 (Text: ((1+N)*N/2+N)*2 )
	05/09/2006	18:35:29	18:35:35	[Aznx has fully erased the chat message]
72	05/09/2006	18:35:38	18:35:40			formula
73	05/09/2006	18:35:43	18:35:46	Yeah, I know.
74	05/09/2006	18:35:45	18:35:59			and just slightly modify it to get this
	05/09/2006		18:36:15			[bwang8 deleted some object/s ]
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	05/09/2006		18:36:31			[bwang8 created a line ]
75	05/09/2006	18:36:27	18:36:31	Aditya, you get this right?
	05/09/2006		18:36:32			[bwang8 created a line ]
	05/09/2006		18:36:35			[bwang8 created a line ]
	05/09/2006		18:36:37			[bwang8 created a line ]
	05/09/2006	18:36:35	18:36:39		[Quicksilver has fully erased the chat message]
	05/09/2006		18:36:39			[bwang8 created a line ]
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	05/09/2006		18:36:44		[Quicksilver moved some object/s ]
	05/09/2006		18:36:45			[bwang8 created a line ]
	05/09/2006		18:36:47		[Quicksilver moved some object/s ]
	05/09/2006		18:36:50		[Quicksilver moved some object/s ]
	05/09/2006		18:36:55		[Quicksilver resized some objects ]
	05/09/2006		18:36:59		[Quicksilver moved some object/s ]
	05/09/2006		18:37:00		[Quicksilver moved some object/s ]
	05/09/2006		18:37:01		[Quicksilver resized some objects ]
	05/09/2006		18:37:05		[Quicksilver moved some object/s ]
	05/09/2006		18:37:44				START:TextEditing
76	05/09/2006	18:37:39	18:37:45		What does the n represent?						[1] Reference to message No. 72 (Text: formula )
	05/09/2006	18:37:35	18:37:52			[bwang8 has fully erased the chat message]
77	05/09/2006	18:37:54	18:37:57			the given
78	05/09/2006	18:37:58	18:37:58			N
79	05/09/2006	18:38:00	18:38:02	Yeah.
	05/09/2006	18:38:02	18:38:04			[bwang8 has fully erased the chat message]
80	05/09/2006	18:38:03	18:38:05	In the problem.
	05/09/2006		18:38:13				END:TextEditing
	05/09/2006		18:38:13				[Gerry created a textbox ]
	05/09/2006		18:38:17				[Gerry resized some objects ]
	05/09/2006		18:38:20		[Quicksilver resized some objects ]
	05/09/2006	18:38:10	18:38:21	[Aznx has fully erased the chat message]
81	05/09/2006	18:38:36	18:38:37		Oh
82	05/09/2006	18:38:06	18:38:38			The number of squares is just (1+N)*N/2					[1] Reference to message No. 67 (Text: ((1+N)*N/2+N)*2 )
	05/09/2006		18:38:44	[Aznx created a line ]
	05/09/2006		18:38:48	[Aznx created a line ]
83	05/09/2006	18:38:46	18:38:50		We need that as well.
	05/09/2006		18:38:51	[Aznx created a line ]
84	05/09/2006	18:38:36	18:38:52				I put BWang's formula on the whiteboard				[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006		18:38:55	[Aznx created a line ]
	05/09/2006		18:39:04	START:TextEditing
	05/09/2006		18:39:19	END:TextEditing
	05/09/2006		18:39:19	[Aznx created a textbox ]
	05/09/2006		18:39:28	[Aznx moved some object/s ]
85	05/09/2006	18:39:39	18:39:45	So how do we submit this?
86	05/09/2006	18:40:18	18:40:26		We are still in the process
	05/09/2006	18:40:34	18:40:35			[bwang8 has fully erased the chat message]
87	05/09/2006	18:40:30	18:40:38		We are discussing
	05/09/2006	18:40:36	18:40:39			[bwang8 has fully erased the chat message]
88	05/09/2006	18:40:21	18:40:41				you can complete the table for different N and put that on the wiki				[1] Reference to message No. 85 (Text: So how do we submit this? )
89	05/09/2006	18:40:45	18:40:46			ok
90	05/09/2006	18:40:49	18:40:56		Do we complete it on the whiteboard?
91	05/09/2006	18:40:56	18:40:59	bwang you can do it.
92	05/09/2006	18:40:50	18:41:01			that would take a while
	05/09/2006	18:41:02	18:41:03	[Aznx has fully erased the chat message]
93	05/09/2006	18:41:03	18:41:10	Or do we all have to put the values?
	05/09/2006	18:41:19	18:41:24			[bwang8 has fully erased the chat message]
94	05/09/2006	18:41:27	18:42:05				There are 3 of you and the problem asks for 3 rows, so you could each do one -- as long as you all collaboratively agree on the values first
95	05/09/2006	18:42:13	18:42:17			ok
96	05/09/2006	18:42:21	18:42:22	Ok.
	05/09/2006	18:42:33	18:42:33	[Aznx has fully erased the chat message]
	05/09/2006	18:42:34	18:42:34	[Aznx has fully erased the chat message]
97	05/09/2006	18:42:36	18:42:37			me 4
	05/09/2006	18:42:35	18:42:41	[Aznx has fully erased the chat message]
98	05/09/2006	18:42:42	18:42:44	I'll do 5.
99	05/09/2006	18:42:46	18:42:49	Aditya does 6.
100	05/09/2006	18:42:50	18:42:59	So we submit it together for N?
	05/09/2006		18:43:11	START:TextEditing
	05/09/2006		18:43:13	END:TextEditing
	05/09/2006		18:43:17	START:TextEditing
	05/09/2006		18:43:19	END:TextEditing
	05/09/2006	18:43:24	18:43:25			[bwang8 has fully erased the chat message]
101	05/09/2006	18:43:26	18:43:33			where do i enter the answer
102	05/09/2006	18:43:52	18:44:08				From the window with the Topic, click on the link for the wiki				[1] Reference to message No. 101 (Text: where do i enter the answer )
	05/09/2006	18:44:08	18:44:13		[Quicksilver has fully erased the chat message]
103	05/09/2006	18:44:16	18:44:19	And then?
	05/09/2006	18:44:24	18:44:28	[Aznx has fully erased the chat message]
104	05/09/2006	18:44:24	18:44:43				Then go to "rows of the table"				[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006	18:45:09	18:45:10	[Aznx has fully erased the chat message]
105	05/09/2006	18:44:55	18:45:14				At the bottom of the wiki page is a link to "edit this page"				[1] Reference to whiteboard (whiteboardDoc)
106	05/09/2006	18:45:44	18:45:49	So our team name is 2?
107	05/09/2006	18:45:33	18:45:49				Take turns so you do not overwrite each other's edits
	05/09/2006	18:45:54	18:45:55				[Gerry has fully erased the chat message]
108	05/09/2006	18:45:55	18:46:01				You are TEAM B
109	05/09/2006	18:46:04	18:46:04	ok
	05/09/2006	18:44:18	18:46:13		[Quicksilver has fully erased the chat message]
110	05/09/2006	18:46:11	18:46:14	bwang you go first
111	05/09/2006	18:46:18	18:46:18			ok
112	05/09/2006	18:46:15	18:46:19	tell me when you're done
113	05/09/2006	18:46:05	18:46:37				Enter your team name and the values for sticks and squares
114	05/09/2006	18:46:30	18:46:43		I tried, but it didn't work						[1] Reference to message No. 110 (Text: bwang you go first )
115	05/09/2006	18:46:46	18:46:50		Are we Team B?
116	05/09/2006	18:46:53	18:46:55	TEAM B
117	05/09/2006	18:47:01	18:47:02			i am done
118	05/09/2006	18:46:59	18:47:06	I think's its case sensitive.
	05/09/2006	18:47:05	18:47:06			[bwang8 has fully erased the chat message]
119	05/09/2006	18:47:07	18:47:11	Alright, my turn.
	05/09/2006	18:47:07	18:47:15			[bwang8 has fully erased the chat message]
120	05/09/2006	18:47:23	18:47:25				Nice!				[1] Reference to message No. 117 (Text: i am done )
121	05/09/2006	18:47:21	18:47:27			is mine in the correct format
122	05/09/2006	18:47:43	18:47:47	We just write B?
123	05/09/2006	18:47:49	18:47:51	On Team name?
124	05/09/2006	18:47:53	18:47:53	right?
125	05/09/2006	18:47:57	18:47:57			yes
126	05/09/2006	18:48:01	18:48:02				yes				[1] Reference to message No. 125 (Text: yes )
127	05/09/2006	18:49:25	18:49:28	Just checking.
128	05/09/2006	18:49:29	18:49:34	The number of squares is 15.
129	05/09/2006	18:49:25	18:49:47				You might want to draw the table on the whiteboard to make sure you all agree
	05/09/2006	18:49:35	18:49:56	[Aznx has fully erased the chat message]
	05/09/2006		18:50:11	START:TextEditing
	05/09/2006		18:50:13			[bwang8 created a line ]
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	05/09/2006	18:50:56	18:50:57			[bwang8 has fully erased the chat message]
130	05/09/2006	18:50:24	18:51:00		There are 15 squares and 44 sticks for n=5?
	05/09/2006		18:51:01			[bwang8 created a scribble ]
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	05/09/2006		18:51:23			[bwang8 created a scribble ]
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	05/09/2006		18:51:37			[bwang8 created a scribble ]
	05/09/2006		18:51:40			[bwang8 created a scribble ]
	05/09/2006		18:51:41			[bwang8 created a scribble ]
	05/09/2006		18:51:43			[bwang8 created a scribble ]
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	05/09/2006	18:51:53	18:51:55			[bwang8 has fully erased the chat message]
131	05/09/2006	18:51:55	18:52:03			isn't it 40
	05/09/2006	18:52:06	18:52:07			[bwang8 has fully erased the chat message]
132	05/09/2006	18:52:09	18:52:18			(15+5)*2
	05/09/2006		18:52:28			[bwang8 deleted some object/s ]
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133	05/09/2006	18:52:26	18:52:35		How do you draw a table in the whiteboard?						[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006		18:52:37			[bwang8 created a scribble ]
134	05/09/2006	18:52:41	18:52:51			line tool and scribble
135	05/09/2006	18:52:52	18:52:53			lol
136	05/09/2006	18:52:53	18:52:59			it looks really bad
	05/09/2006	18:53:18	18:53:20	[Aznx has fully erased the chat message]
137	05/09/2006	18:53:21	18:53:24	everyone agree with me?
138	05/09/2006	18:53:27	18:53:29	on the table?
139	05/09/2006	18:53:31	18:53:35	i triple-checked =P
140	05/09/2006	18:54:12	18:54:12			ok
141	05/09/2006	18:54:14	18:54:17			i can't see it
	05/09/2006	18:54:16	18:54:20	[Aznx has fully erased the chat message]
	05/09/2006	18:54:32	18:54:33	[Aznx has fully erased the chat message]
142	05/09/2006	18:54:33	18:54:34	you cant?
143	05/09/2006	18:54:35	18:54:39	i'll draw it then =P
	05/09/2006		18:54:47	END:TextEditing
	05/09/2006		18:54:47	[Aznx created a textbox ]
	05/09/2006		18:54:48	[Aznx created a line ]
	05/09/2006		18:54:51	[Aznx created a line ]
	05/09/2006		18:54:53	[Aznx created a line ]
	05/09/2006		18:54:55	[Aznx created a line ]
144	05/09/2006	18:54:56	18:54:57		Yes
	05/09/2006		18:54:58	[Aznx created a line ]
	05/09/2006	18:54:58	18:54:59		[Quicksilver has fully erased the chat message]
	05/09/2006		18:55:01	[Aznx created a scribble ]
	05/09/2006		18:55:09	[Aznx created a scribble ]
	05/09/2006		18:55:10	[Aznx created a scribble ]
	05/09/2006		18:55:15	[Aznx created a scribble ]
	05/09/2006		18:55:17	[Aznx created a scribble ]
	05/09/2006		18:55:19	[Aznx created a scribble ]
145	05/09/2006	18:55:22	18:55:25	agreed?
146	05/09/2006	18:55:24	18:55:32		why can't I select to draw a line?						[1] Reference to whiteboard (LineStuff-1147217965779-29954541)
	05/09/2006		18:55:41	[Aznx created a scribble ]
	05/09/2006		18:55:44	[Aznx created a scribble ]
147	05/09/2006	18:55:38	18:55:45		How did you guys do it?
	05/09/2006		18:55:45	[Aznx created a scribble ]
	05/09/2006		18:55:48	[Aznx created a scribble ]
	05/09/2006		18:55:49	[Aznx created a scribble ]
	05/09/2006		18:55:51	[Aznx created a scribble ]
	05/09/2006		18:55:53	[Aznx created a scribble ]
	05/09/2006		18:55:54	[Aznx created a scribble ]
	05/09/2006	18:55:54	18:55:55			[bwang8 has fully erased the chat message]
	05/09/2006		18:55:56	[Aznx created a scribble ]
	05/09/2006		18:55:58	[Aznx created a scribble ]
	05/09/2006		18:56:00	[Aznx created a scribble ]
	05/09/2006	18:55:56	18:56:01			[bwang8 has fully erased the chat message]
	05/09/2006		18:56:02	[Aznx created a scribble ]
148	05/09/2006	18:56:07	18:56:10	There!
149	05/09/2006	18:55:19	18:56:11				To point to the whiteboard, select the hand icon all the way on the left and pull out a rectangle around the object you are pointing to before you type your chat message				[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006		18:56:23	[Aznx created a scribble ]
150	05/09/2006	18:56:09	18:56:29			wait isn't it 40 for # of sticks
	05/09/2006	18:56:34	18:56:35			[bwang8 has fully erased the chat message]
151	05/09/2006	18:56:28	18:56:37	Everyone agree with me?
152	05/09/2006	18:56:42	18:56:43	Yeah
153	05/09/2006	18:56:37	18:56:44			(15+5)*2
154	05/09/2006	18:56:47	18:56:48	Um.
155	05/09/2006	18:56:49	18:56:52	I switched them around
156	05/09/2006	18:56:54	18:56:54	lol
157	05/09/2006	18:57:04	18:57:04			?
158	05/09/2006	18:57:20	18:57:23	the numbers are correct
159	05/09/2006	18:57:39	18:57:44			no
	05/09/2006	18:57:41	18:57:48	[Aznx has fully erased the chat message]
	05/09/2006	18:57:47	18:57:49			[bwang8 has fully erased the chat message]
160	05/09/2006	18:57:48	18:57:52	they're not on the right place
161	05/09/2006	18:57:50	18:57:56			(15+5)*2=40
162	05/09/2006	18:58:00	18:58:05	i wrote 40.
163	05/09/2006	18:57:58	18:58:05			i know they are not in right place
	05/09/2006	18:58:07	18:58:08			[bwang8 has fully erased the chat message]
164	05/09/2006	18:58:08	18:58:09	yeah
165	05/09/2006	18:58:09	18:58:10			oh
166	05/09/2006	18:58:12	18:58:13	lol
167	05/09/2006	18:58:15	18:58:18			i see 44
	05/09/2006		18:58:21			[bwang8 created a scribble ]
	05/09/2006	18:58:15	18:58:25	[Aznx has fully erased the chat message]
	05/09/2006		18:58:26			START:TextEditing
	05/09/2006		18:58:29			END:TextEditing
	05/09/2006		18:58:31	[Aznx created a scribble ]
	05/09/2006		18:58:32	[Aznx created a scribble ]
	05/09/2006		18:58:33			[bwang8 deleted some object/s ]
	05/09/2006		18:58:36	START:TextEditing
	05/09/2006		18:58:39			START:TextEditing
	05/09/2006		18:58:40	END:TextEditing
	05/09/2006		18:58:40	[Aznx created a textbox ]
	05/09/2006		18:58:45	[Aznx moved some object/s ]
	05/09/2006		18:58:48			END:TextEditing
	05/09/2006		18:58:48			[bwang8 changed the text to: N=4 # of Squares: 10 #of Sticks: 28 N=5 #of squares:15 #of sticks: 40 N=6 #of squares:21 #of sticks:54 ]
168	05/09/2006	18:58:58	18:59:02	bwang you can edit for all of them.
169	05/09/2006	18:59:04	18:59:12	I'm just good that everyone agrees.
	05/09/2006	18:59:12	18:59:14			[bwang8 has fully erased the chat message]
170	05/09/2006	18:59:15	18:59:23	Aditya, you agree with all of them right?
171	05/09/2006	19:00:17	19:00:35				Quicksilver, are you having technical problems with your computer today?
172	05/09/2006	18:56:06	19:00:39		Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount
173	05/09/2006	19:01:17	19:01:37				OK. I see why it took you a while				[1] Reference to message No. 171 (Text: Quicksilver, are you having technical problems with your computer today? )
174	05/09/2006	19:01:45	19:01:54		My computer somehow wasn't receiving the messages						[1] Reference to message No. 172 (Text: Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount )
175	05/09/2006	19:01:55	19:02:01		and the whitboard isn't showing anything
176	05/09/2006	19:02:14	19:02:25	Your Java might not be updated.
177	05/09/2006	19:02:32	19:02:39	I have a solution
178	05/09/2006	19:02:31	19:02:42		And Did you guys really draw a table, because I don't see anything
179	05/09/2006		19:02:42
180	05/09/2006	19:02:40	19:02:46	I can send in screenshots
181	05/09/2006	19:02:49	19:02:53	and put the link of them here
182	05/09/2006	19:03:06	19:03:13		I can't even see some of the messages I send
183	05/09/2006	19:03:21	19:03:22	hold on
184	05/09/2006	19:03:23	19:03:28	lemme make a screenshot
185	05/09/2006	19:03:47	19:03:48	darn
186	05/09/2006	19:03:48	19:03:51	i dont have paint
187	05/09/2006	19:03:55	19:04:00	bwang can you do it for aditya?
	05/09/2006		19:04:05			[bwang8 deleted some object/s ]
	05/09/2006		19:04:10			[bwang8 deleted some object/s ]
	05/09/2006		19:04:11			[bwang8 deleted some object/s ]
	05/09/2006		19:04:13			[bwang8 deleted some object/s ]
	05/09/2006		19:04:15			[bwang8 resized some objects ]
	05/09/2006		19:04:15			[bwang8 deleted some object/s ]
	05/09/2006		19:04:16			[bwang8 deleted some object/s ]
	05/09/2006		19:04:17			[bwang8 deleted some object/s ]
188	05/09/2006	19:04:17	19:04:19		Do waht?
	05/09/2006	19:04:08	19:04:23	[Aznx has fully erased the chat message]
189	05/09/2006	19:04:24	19:04:25			ok
190	05/09/2006		19:04:25					joins the room
191	05/09/2006	19:04:23	19:04:27	make a screenshot for you
192	05/09/2006	19:04:28	19:04:32	so you can see the table
193	05/09/2006	19:04:35	19:04:43				Maybe we should stop for today
194	05/09/2006	19:04:46	19:04:48	Alright.
195	05/09/2006	19:04:38	19:04:50					Quicksilver... why don't you go ahead and close this window and try to enter again
196	05/09/2006	19:04:44	19:05:10				and let jsarmi help Quicksilver get ready to Thursday
197	05/09/2006	19:04:57	19:05:27					(BTW, this room will now show up in the "My Rooms" tab not on the "Limited Access" one)			[1] Reference to message No. 195 (Text: Quicksilver... why don't you go ahead and close this window and try to enter again )
	05/09/2006		19:05:38			[bwang8 created a image ]
198	05/09/2006		19:05:43		leaves the room
199	05/09/2006	19:05:21	19:05:48				You made a lot of progress already.
	05/09/2006	19:05:48	19:05:50			[bwang8 has fully erased the chat message]
200	05/09/2006	19:05:47	19:05:53	So do we leave?
201	05/09/2006	19:05:50	19:05:58			this is the screenshot
202	05/09/2006	19:05:57	19:06:01	And when do we come back?
	05/09/2006		19:06:05			[bwang8 moved some object/s ]
203	05/09/2006		19:06:08		joins the room
204	05/09/2006	19:06:29	19:06:32		That"S better
205	05/09/2006	19:06:28	19:06:35					Any better, Quicksilver?
206	05/09/2006	19:06:39	19:06:39		yes
207	05/09/2006	19:06:39	19:06:41					awesome			[1] Reference to message No. 204 (Text: That"S better )
	05/09/2006		19:06:44		[Quicksilver moved some object/s ]
	05/09/2006		19:06:47		[Quicksilver moved some object/s ]
208	05/09/2006	19:06:15	19:06:51				I think we will have the next session at the same time on Thursday. You will come into the same room and start where you left off today				[1] Reference to message No. 202 (Text: And when do we come back? )
209	05/09/2006	19:06:58	19:07:06					that's correct... same time, same team, same room			[1] Reference to message No. 208 (Text: I think we will have the next session at the same time on Thursday. You will come into the same room and start where you left off today )
	05/09/2006	19:07:03	19:07:10			[bwang8 has fully erased the chat message]
210	05/09/2006	19:07:11	19:07:12			ok
211	05/09/2006	19:07:06	19:07:15		I have a dentis't appointment...I don't think I can come
212	05/09/2006	19:07:04	19:07:16	Same time on Thursay...got it!
213	05/09/2006	19:07:16	19:07:37			but aren't we done now with this problem
214	05/09/2006	19:07:46	19:07:47	Yeah
215	05/09/2006	19:07:48	19:07:56	So I guess we would start on the second problem?
216	05/09/2006	19:08:04	19:08:05			ok
	05/09/2006	19:07:58	19:08:10	[Aznx has fully erased the chat message]
	05/09/2006	19:08:12	19:08:15					[jsarmi has fully erased the chat message]
217	05/09/2006	19:08:05	19:08:16		Did you guys discuss the problem like it said to?
218	05/09/2006	19:08:20	19:08:21	Yeah.
219	05/09/2006	19:08:17	19:08:22		i didn't get half the messages'
220	05/09/2006	19:08:22	19:08:24		so i dont know
221	05/09/2006	19:08:21	19:08:25			yeah
222	05/09/2006	19:08:29	19:08:32		well thats good
223	05/09/2006	19:08:28	19:08:40					I will send you instructions on how to catch up, Quicksilver			[1] Reference to message No. 220 (Text: so i dont know )
224	05/09/2006	19:08:13	19:08:44				Do you want to all come back two hours earlier on Thursday so Quicksilver does not have to miss it?
225	05/09/2006	19:08:45	19:08:49		by email?
226	05/09/2006	19:08:50	19:08:55		We still ahve school
227	05/09/2006	19:09:00	19:09:01		until 3
228	05/09/2006	19:09:02	19:09:03					right			[1] Reference to message No. 225 (Text: by email? )
	05/09/2006	19:08:56	19:09:10	[Aznx has fully erased the chat message]
229	05/09/2006	19:09:31	19:09:36	Yeah, Aditya's right.
230	05/09/2006	19:09:31	19:09:45		Can we just reschedule for wednesday or something?
231	05/09/2006	19:10:41	19:11:03					If it works out for everyone, you could re-schedule... is that an option?			[1] Reference to message No. 230 (Text: Can we just reschedule for wednesday or something? )
232	05/09/2006	19:11:14	19:11:23	Wednesday should work for me.
	05/09/2006	19:11:19	19:11:28		[Quicksilver has fully erased the chat message]
233	05/09/2006	19:11:29	19:11:31		it works for me
	05/09/2006	19:11:39	19:11:40	[Aznx has fully erased the chat message]
234	05/09/2006	19:11:40	19:11:43	bwang?
235	05/09/2006	19:11:49	19:11:50			yes
	05/09/2006	19:11:52	19:11:53	[Aznx has fully erased the chat message]
	05/09/2006	19:11:53	19:11:56	[Aznx has fully erased the chat message]
236	05/09/2006	19:11:54	19:11:59		So this time tomorrow then
237	05/09/2006	19:12:06	19:12:11		in place of thursdays
	05/09/2006	19:12:06	19:12:12	[Aznx has fully erased the chat message]
238	05/09/2006	19:11:53	19:12:14			wednesday, 6-7 central?
	05/09/2006	19:12:27	19:12:29		[Quicksilver has fully erased the chat message]
239	05/09/2006	19:12:30	19:12:34	Same time as today.
	05/09/2006	19:12:30	19:12:36		[Quicksilver has fully erased the chat message]
240	05/09/2006	19:12:38	19:12:38		Yeah
241	05/09/2006	19:12:44	19:12:44			ok
242	05/09/2006	19:12:35	19:12:45	Except it's Wednesday instead of Thursday.
	05/09/2006	19:12:47	19:12:51			[bwang8 has fully erased the chat message]
243	05/09/2006	19:12:59	19:13:00		Great
244	05/09/2006	19:12:52	19:13:06			is it just for us, or does it apply to all team
	05/09/2006	19:13:08	19:13:09			[bwang8 has fully erased the chat message]
245	05/09/2006	19:13:09	19:13:10			teams
246	05/09/2006	19:13:16	19:13:17		I think it
247	05/09/2006	19:13:18	19:13:19		is just us
248	05/09/2006	19:13:17	19:13:20					Just for you!!!			[1] Reference to message No. 244 (Text: is it just for us, or does it apply to all team )
249	05/09/2006	19:13:26	19:13:30		Thanks for changing it.
	05/09/2006	19:13:32	19:13:35					[jsarmi has fully erased the chat message]
250	05/09/2006	19:13:27	19:13:37	So will we start on a new problem?
251	05/09/2006	19:13:36	19:13:43					Is it clear to everyone???
252	05/09/2006	19:13:44	19:13:46	Tomorrow?
253	05/09/2006	19:13:47	19:13:48		Yes.
	05/09/2006	19:13:46	19:13:53					[jsarmi has fully erased the chat message]
	05/09/2006	19:13:57	19:13:58	[Aznx has fully erased the chat message]
254	05/09/2006	19:13:59	19:13:59			ok
	05/09/2006	19:14:06	19:14:08		[Quicksilver has fully erased the chat message]
255	05/09/2006	19:13:53	19:14:11					Some of you are on Central time and some of you on Pacific time, so do not get confused... same time as today
	05/09/2006	19:14:07	19:14:15			[bwang8 has fully erased the chat message]
256	05/09/2006	19:14:16	19:14:17			ok
257	05/09/2006	19:14:08	19:14:25		Ok. See you tomorrow then.
258	05/09/2006	19:14:21	19:14:30	So I guess it's farewell for today?
259	05/09/2006	19:14:29	19:14:33			see you all
260	05/09/2006	19:14:34	19:14:34			later
261	05/09/2006	19:14:33	19:14:36		Yup.
262	05/09/2006	19:14:34	19:14:37				Farewell
263	05/09/2006	19:14:37	19:14:38		bye
	05/09/2006	19:14:36	19:14:39			[bwang8 has fully erased the chat message]
264	05/09/2006	19:14:39	19:14:39			bye
265	05/09/2006		19:14:42			leaves the room
266	05/09/2006		19:14:46		leaves the room
267	05/09/2006	19:14:41	19:14:47	Bye everyone. =)
268	05/09/2006		19:14:54	leaves the room
269	05/09/2006		19:14:59				leaves the room
270	05/09/2006		19:15:05					leaves the room
271	05/10/2006		10:00:00					joins the room
272	05/10/2006		10:51:28					leaves the room
273	05/10/2006		14:14:26						joins the room
	05/10/2006		14:14:38						[tutor moved some object/s ]
274	05/10/2006		14:27:23							joins the room
275	05/10/2006		14:30:27							leaves the room
276	05/10/2006		14:32:28						joins the room
277	05/10/2006		14:42:47						joins the room
278	05/10/2006		14:47:04						leaves the room
279	05/10/2006		15:08:58						joins the room
280	05/10/2006		15:40:59						leaves the room
281	05/10/2006		16:23:19				joins the room
	05/10/2006		16:23:40				[Gerry deleted some object/s ]
	05/10/2006		16:23:50				START:TextEditing
	05/10/2006		16:24:40				END:TextEditing
	05/10/2006		16:24:40				[Gerry created a textbox ]
	05/10/2006		16:24:45				[Gerry resized some objects ]
	05/10/2006		16:24:49				[Gerry resized some objects ]
	05/10/2006		16:24:54				START:TextEditing
	05/10/2006		16:25:21				END:TextEditing
	05/10/2006		16:25:21				[Gerry changed the text to: VMT Feedback We were very interested in the approach that divided the figure into the horizontal lines and the vertical lines and the quickness with which formulas fell out of that approach. It seemed as though you also were paying attention to each other's work and quickly reached agreement. You handled the technology of the chat environment and the wiki easily. We also noticed two places in the chat where some kinds of conversation did not happen. There was a point where 44 was posted as the number of sticks and 40 was offered as a correction. There was no discussion of how 44 was calculated. At another moment, Quicksilver posted an explanation of the pattern of growth that was not discussed. There was a sense in which you indicated that your work was done when you had at least one answer for the questions in the problem. For the next step we will encourage you to think more about the different approaches and the problems that you can discover on your own and that are interesting to pursue. ]
	05/10/2006		16:25:24				[Gerry resized some objects ]
	05/10/2006		16:25:32				[Gerry moved some object/s ]
	05/10/2006		16:25:48				[Gerry resized some objects ]
	05/10/2006		16:26:33				[Gerry changed layout ]
282	05/10/2006	16:26:49	16:27:03				Here is some feedback on your first session				[1] Reference to whiteboard ()
283	05/10/2006		16:27:15				leaves the room
284	05/10/2006		18:50:16				joins the room
285	05/10/2006		18:56:23		joins the room
286	05/10/2006		18:57:30	joins the room
287	05/10/2006	18:58:29	18:58:36		bwang just left the lobby...
	05/10/2006	18:58:37	18:59:24	[Aznx has fully erased the chat message]
288	05/10/2006	18:59:26	18:59:44		i have a question: i accidentally got this arrow onto my name...how do i take it off?						[1] Reference to message No. 287 (Text: bwang just left the lobby... )
	05/10/2006	19:00:03	19:00:06	[Aznx has fully erased the chat message]
289	05/10/2006	19:00:02	19:00:34				You cannot remove it once your message is posted. It is used to point to a previous message or part of the whiteboard				[1] Reference to message No. 288 (Text: i have a question: i accidentally got this arrow onto my name...how do i take it off? )
	05/10/2006	19:00:41	19:00:42		[Quicksilver has fully erased the chat message]
290	05/10/2006	19:00:43	19:00:43		I know
291	05/10/2006		19:00:46			joins the room
292	05/10/2006	19:00:44	19:00:47		but when i'm typing
293	05/10/2006		19:00:48
294	05/10/2006	19:00:49	19:00:52		how do i take it off then?
295	05/10/2006	19:00:51	19:01:07				when you are typing, hit the Esc key to get rid of it
296	05/10/2006	19:01:12	19:01:12		ok
297	05/10/2006		19:01:39
298	05/10/2006	19:01:34	19:01:41				Hi everyone!
	05/10/2006	19:01:40	19:01:45		[Quicksilver has fully erased the chat message]
299	05/10/2006	19:01:44	19:01:47			hello
300	05/10/2006	19:01:46	19:01:54		Hello!
	05/10/2006		19:01:56			[bwang8 moved some object/s ]
301	05/10/2006	19:01:47	19:02:03				You have some feedback and a new Topic
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302	05/10/2006	19:02:05	19:02:13	Has everyone read the feedback?
303	05/10/2006	19:02:16	19:02:17		yup
304	05/10/2006	19:02:21	19:02:25		NOw we have to discuss
305	05/10/2006	19:02:28	19:02:28			yes
306	05/10/2006	19:02:34	19:03:01		Well,, the part about converstaion not happening is because of me
307	05/10/2006	19:03:01	19:03:06		my computer was lagging....
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308	05/10/2006	19:03:08	19:03:12		but that's out of our hands
309	05/10/2006	19:02:53	19:03:17	So, I think we should focus on discussing on each step more.
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310	05/10/2006	19:03:23	19:03:30		and explain every answer thoroughly
311	05/10/2006	19:03:29	19:03:40	Even if the answer was "obvious."
312	05/10/2006	19:03:46	19:03:48			ok
313	05/10/2006	19:03:31	19:03:49		like i gave a wrong answer, but my explanations didn't come up on the computer because of the lag
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314	05/10/2006	19:03:57	19:03:58		so thats one thing
315	05/10/2006	19:04:04	19:04:12		maybe think of more ways of doing the same problem?
316	05/10/2006	19:04:19	19:04:21	Yeah.
317	05/10/2006	19:04:23	19:04:35	Thinking of more than gneralized idea might help us understand the topic more.
318	05/10/2006	19:04:41	19:04:42		Yes
319	05/10/2006	19:04:40	19:04:47			ok
320	05/10/2006	19:04:45	19:04:50		Now did you two read today's topic?
321	05/10/2006	19:04:48	19:05:08			what was your pattern of growth, quicksiler
322	05/10/2006	19:05:20	19:06:20		i think it was something about the amount of squares that increased with each row....and how one of the new squares had 3 new sticks while the other new ones had 2 new sticks
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323	05/10/2006	19:06:36	19:06:41			oh, ok
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324	05/10/2006	19:07:04	19:07:07		i drew some sqaures
325	05/10/2006	19:07:08	19:07:19		the left one had three new sticks
326	05/10/2006	19:07:22	19:07:33		the right one has a new stick on the bottom and on the right
327	05/10/2006	19:07:34	19:07:39		the top one is from an old square
328	05/10/2006	19:06:57	19:07:40				It was at 7:00:39 -- to get the old messages, click on the icon above here with the two circular arrows				[1] Reference to message No. 172 (Text: Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount )
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329	05/10/2006	19:08:56	19:09:09		yea it's at the very top. but i think there ae errors in that paragraph						[1] Reference to message No. 172 (Text: Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount )
330	05/10/2006	19:09:22	19:09:25		yea that's wrong
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331	05/10/2006	19:09:15	19:09:33	So let's brainstorm through some problems that we think are challenging.
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332	05/10/2006	19:09:37	19:09:40		yes...new topic
333	05/10/2006	19:09:42	19:09:42			ok
334	05/10/2006	19:10:17	19:10:20		3-d figures?
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335	05/10/2006	19:10:58	19:11:06	I think we should discuss on the different methods.
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336	05/10/2006	19:11:10	19:11:24	So that we can easily apply our thoughts quickly when seeing a problem.
337	05/10/2006	19:11:13	19:11:30		Yes....but we must find a question or problem to investigate
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338	05/10/2006	19:11:36	19:11:37	Yeah.
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339	05/10/2006	19:11:40	19:11:50	I think we should start off with a conjecture, that we need to prove.
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340	05/10/2006	19:11:56	19:12:03	Not a hard one, but one that can be challenging.
341	05/10/2006	19:12:00	19:12:17		Maybe a row of blocks
342	05/10/2006	19:12:25	19:12:27		likethis						[1] Reference to whiteboard (LineStuff-1147302659437-22750508)
343	05/10/2006	19:12:39	19:12:44	What about them?
344	05/10/2006	19:12:50	19:12:59		The amount of sticks may increase in a pattern?
345	05/10/2006	19:12:39	19:13:01			The problem from yesterday, but only 3-d
346	05/10/2006	19:13:06	19:13:07		yea i guess
347	05/10/2006	19:13:07	19:13:09		not that good
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348	05/10/2006	19:13:14	19:13:18		maybe a pyramind
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349	05/10/2006	19:13:22	19:13:24			yeah
350	05/10/2006	19:13:26	19:13:30		although that's hard to draw
351	05/10/2006	19:13:28	19:13:35			pryamind is good
352	05/10/2006	19:13:32	19:13:36	Yeah, I liked that.
353	05/10/2006	19:13:31	19:13:36		but we shoudl be able to managt
354	05/10/2006	19:13:36	19:13:36		e
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355	05/10/2006	19:14:23	19:14:25		side view						[1] Reference to whiteboard (whiteboardDoc)
356	05/10/2006	19:14:40	19:14:56			isn't this the same as yesterday problem
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357	05/10/2006	19:15:01	19:15:03		Really?
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358	05/10/2006	19:15:04	19:15:10	Except it's 3-D.
359	05/10/2006	19:15:09	19:15:12		no it's three d
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360	05/10/2006	19:15:15	19:15:16			ok
361	05/10/2006	19:15:11	19:15:16	So there would be more sticks
362	05/10/2006	19:15:17	19:15:19	and blocks
363	05/10/2006	19:15:15	19:15:30		and i was thinking of like 9 bricks on the bottom and 4 in the middle and 1 on top
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364	05/10/2006	19:16:36	19:16:45	So, how should we approach this?
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365	05/10/2006	19:16:48	19:16:54	What can we use that we already know?
366	05/10/2006	19:16:51	19:16:57		Layer by layer shown in a chart?
367	05/10/2006	19:16:49	19:17:01			well we can divide it into a front and a back
368	05/10/2006	19:16:55	19:17:02	I'd suggest yesterday's problem.
369	05/10/2006	19:17:08	19:17:10			yeah
370	05/10/2006	19:17:10	19:17:22			using the formula from yesterday's problem
371	05/10/2006	19:17:23	19:17:32			we can figure the front and back easily
372	05/10/2006	19:17:35	19:17:36		this						[1] Reference to whiteboard ()
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373	05/10/2006	19:17:36	19:17:43			we just need to find the center
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374	05/10/2006	19:17:56	19:18:13		Oh!! Wait...Your thinking of the kind of pyramid that is flat on one whole edge
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375	05/10/2006	19:18:16	19:18:32		I mean like a real pyramid that each layer is completely centered
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376	05/10/2006	19:18:41	19:18:44	Draw it.
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377	05/10/2006	19:18:56	19:18:57		i'll try
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378	05/10/2006	19:19:14	19:19:24			use the rectangle tool, it's easier
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379	05/10/2006	19:19:30	19:19:32	Yeah.							[1] Reference to message No. 376 (Text: Draw it. )
380	05/10/2006	19:19:32	19:19:33		k
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381	05/10/2006	19:19:43	19:19:44			o ic
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382	05/10/2006	19:19:48	19:19:49		top view
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383	05/10/2006	19:20:13	19:20:16		something like that
384	05/10/2006	19:20:16	19:20:19			i c what you mean
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385	05/10/2006	19:20:22	19:20:27		do u aznx?
386	05/10/2006	19:20:18	19:20:30	Since we're both in Spanish class, are you saying something what the Aztecs made?
387	05/10/2006	19:20:24	19:20:30			this prob is kinda hard
388	05/10/2006	19:20:37	19:20:41	The pyramid?
389	05/10/2006	19:20:37	19:20:43		I don't know!!!
390	05/10/2006	19:20:45	19:20:46		Probably
391	05/10/2006	19:20:47	19:20:49	lol
392	05/10/2006	19:20:50	19:20:51	I get it.
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393	05/10/2006	19:20:55	19:21:02		Let's go back to original idea: the flat face
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394	05/10/2006	19:21:03	19:21:08		then we can try and get this from that
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395	05/10/2006	19:21:54	19:22:06		So we are going back to the flat faced one? Agree?
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396	05/10/2006	19:22:33	19:22:39	Agree.
397	05/10/2006	19:22:32	19:22:46			we can first figure out the bottom level
398	05/10/2006	19:22:25	19:22:49		In that case, someone should post the problem on the wiki.
399	05/10/2006	19:22:48	19:22:50			agree
400	05/10/2006	19:22:56	19:22:59		Yes
401	05/10/2006	19:23:00	19:23:03		the amount of sticks
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402	05/10/2006	19:23:20	19:23:21	How about
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403	05/10/2006	19:23:23	19:23:34		How many blocks do we want though?
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404	05/10/2006	19:23:22	19:23:42	Instead of a triangular format of the sticks, we do the one you jsut made: the board format?
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405	05/10/2006	19:24:16	19:24:18		what do u mean?
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406	05/10/2006	19:24:38	19:24:42	Look at my arrow.
407	05/10/2006	19:24:42	19:24:42		ok
408	05/10/2006	19:24:43	19:24:49	So you start off with one block.
409	05/10/2006	19:24:48	19:24:52		And that's a top view right
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410	05/10/2006	19:24:59	19:25:00	Yes.
411	05/10/2006	19:25:02	19:25:04		Well there's a problem
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412	05/10/2006	19:25:24	19:25:34	So, the first one has 1 block.
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413	05/10/2006	19:25:37	19:25:41	and four sticks
414	05/10/2006	19:25:46	19:25:48		first block						[1] Reference to whiteboard (RectangleStuff-1147303512203-252493)
415	05/10/2006	19:25:44	19:25:51	The second one has 5 blocks.
416	05/10/2006	19:25:58	19:25:59	Wait
417	05/10/2006	19:25:52	19:26:00		no it is 3
418	05/10/2006	19:26:02	19:26:02		d
419	05/10/2006	19:26:00	19:26:03	You're doing it wrong.
420	05/10/2006	19:26:03	19:26:04		3d
421	05/10/2006	19:26:09	19:26:12	You want to do 3-D?
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422	05/10/2006	19:26:21	19:26:27		Bwang8, what are we doing?
423	05/10/2006	19:26:26	19:26:30			?
424	05/10/2006	19:26:34	19:26:41			you are trying to find a pattern
	05/10/2006	19:26:43	19:26:44			[bwang8 has fully erased the chat message]
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425	05/10/2006	19:26:47	19:26:53			divide them up into levels
426	05/10/2006	19:26:58	19:27:01		Oh.....
427	05/10/2006	19:27:02	19:27:05		so that is the bottom level
428	05/10/2006	19:27:06	19:27:06		I get it
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429	05/10/2006	19:27:39	19:27:42			oops
430	05/10/2006	19:27:44	19:27:45			lol
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431	05/10/2006	19:27:51	19:27:52		what?
432	05/10/2006	19:27:48	19:27:55			the last level have 9
433	05/10/2006	19:28:06	19:28:07		yeah
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434	05/10/2006	19:28:06	19:28:28			so we will just have to figure out how many sticks make up 3 by 3 blocks
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435	05/10/2006	19:29:05	19:29:06	Yes.
	05/10/2006		19:29:07		[Quicksilver created a rectangle ]
436	05/10/2006	19:29:07	19:29:15	After that, we go up to Nth step.
	05/10/2006	19:29:15	19:29:19		[Quicksilver has fully erased the chat message]
437	05/10/2006	19:29:20	19:29:20		Yes
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438	05/10/2006	19:30:00	19:30:07			ok, how do we figure that out
	05/10/2006		19:30:12		[Quicksilver created a line ]
439	05/10/2006	19:30:12	19:30:17			3*3 blocks
	05/10/2006		19:30:17		[Quicksilver created a line ]
440	05/10/2006	19:30:24	19:30:26		Break it down
441	05/10/2006	19:30:18	19:30:27	I'd say look for a pattern.
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442	05/10/2006	19:30:29	19:30:33	and yes, break it down.
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443	05/10/2006	19:30:34	19:30:40	What other possible ways are there?
444	05/10/2006	19:30:41	19:30:44	That we know of?
445	05/10/2006	19:30:45	19:30:52			top, middle and bottom
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446	05/10/2006	19:31:17	19:31:29			top and bottom are 3 by 3 squares
447	05/10/2006	19:31:28	19:31:33		whoops i drew it wrong
448	05/10/2006	19:31:35	19:31:36		but yes
449	05/10/2006	19:32:15	19:32:27			do you mind if i erase some yesterday stuff?
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450	05/10/2006	19:32:31	19:32:34		yea u can do it
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451	05/10/2006	19:32:33	19:32:36	Not at all.
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452	05/10/2006	19:32:39	19:32:42	You can surely do it.
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453	05/10/2006	19:33:54	19:33:57			when they combine
454	05/10/2006	19:33:58	19:34:05			they make a 3 by 3 square
455	05/10/2006	19:34:08	19:34:08		yes
456	05/10/2006	19:34:09	19:34:14		so just count these
457	05/10/2006	19:34:08	19:34:28			and the equation for it is 2N(N+1)
458	05/10/2006	19:34:34	19:34:35			right?
	05/10/2006		19:34:38			[bwang8 created a line ]
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459	05/10/2006	19:34:48	19:34:58			N is the level
460	05/10/2006	19:34:55	19:34:59		I don't know
	05/10/2006	19:34:58	19:35:01	[Aznx has fully erased the chat message]
461	05/10/2006	19:35:02	19:35:04	Prove it.
462	05/10/2006	19:35:05	19:35:11		Where did you get it?
463	05/10/2006	19:35:05	19:35:16	I'll help you as you go along.
464	05/10/2006	19:35:19	19:35:27	I kind of get it, but not clearly.
465	05/10/2006	19:35:11	19:35:27			i mean just from the top and bottom 3 by 3 squares
466	05/10/2006	19:35:35	19:35:44	Where did the 2 come from?
467	05/10/2006	19:35:38	19:35:54			this is 3(3+1)					[1] Reference to whiteboard (whiteboardDoc)
	05/10/2006	19:35:44	19:35:58	[Aznx has fully erased the chat message]
468	05/10/2006	19:36:04	19:36:05		ok
469	05/10/2006	19:36:03	19:36:05	Ah.
470	05/10/2006	19:36:05	19:36:07		i c
471	05/10/2006	19:36:06	19:36:08	I get it.
472	05/10/2006	19:36:10	19:36:10			ok
473	05/10/2006	19:36:25	19:36:32			so now we get the top and bottom
	05/10/2006	19:36:24	19:36:37	[Aznx has fully erased the chat message]
474	05/10/2006	19:36:33	19:36:40			we need to find the middle
475	05/10/2006	19:37:10	19:37:14		i don't understand something
476	05/10/2006		19:37:15
477	05/10/2006		19:37:15
478	05/10/2006		19:37:15
479	05/10/2006	19:37:19	19:37:19		sorry\
480	05/10/2006	19:37:21	19:37:28		um...what do you mean it is the top and bottom
481	05/10/2006	19:37:36	19:37:37			oh
482	05/10/2006	19:37:29	19:37:39		it is a pyramid with a flat face right
	05/10/2006		19:37:45		[Quicksilver created a rectangle ]
483	05/10/2006	19:37:39	19:37:47			let me explain
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484	05/10/2006	19:38:26	19:38:38		This face could go againts a wall(this is a top view)						[1] Reference to whiteboard (whiteboardDoc)
485	05/10/2006	19:38:39	19:38:48			it is just a way to divide the problem
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486	05/10/2006	19:39:01	19:39:05		so the yellow is the top level?
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487	05/10/2006	19:39:31	19:39:45			we are just focusing on the bottommost level
488	05/10/2006	19:39:53	19:39:54	Yeah.
489	05/10/2006	19:39:48	19:40:04			and all those edges with scribble on it are the top
490	05/10/2006	19:40:05	19:40:18		So this is against the floor underneath the other two levels						[1] Reference to whiteboard (whiteboardDoc)
	05/10/2006	19:40:16	19:40:33			[bwang8 has fully erased the chat message]
491	05/10/2006	19:40:34	19:40:35			yes
492	05/10/2006	19:40:38	19:40:43		ok...continue then
493	05/10/2006	19:40:46	19:41:02			all the vertical lines are consider the middle					[1] Reference to whiteboard (whiteboardDoc)
494	05/10/2006	19:41:20	19:41:21		ok
495	05/10/2006	19:41:25	19:41:32			and the rest are the bottom
496	05/10/2006	19:41:35	19:41:48			which has the same number of sticks as the top
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	05/10/2006	19:42:27	19:42:34			[bwang8 has fully erased the chat message]
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497	05/10/2006	19:42:42	19:42:51			my explanation is pretty bad					[1] Reference to message No. 496 (Text: which has the same number of sticks as the top )
498	05/10/2006	19:42:54	19:43:01			do you understand?
	05/10/2006	19:43:06	19:43:08			[bwang8 has fully erased the chat message]
499	05/10/2006	19:43:06	19:43:12		enough to go on with the problem
500	05/10/2006	19:43:06	19:43:12	I understand it.
501	05/10/2006	19:43:15	19:43:16			ok
	05/10/2006		19:43:33			START:TextEditing
502	05/10/2006	19:44:22	19:44:27	So what should we do next?
503	05/10/2006	19:44:34	19:44:42		Continue and see if we find any patterns
	05/10/2006	19:44:42	19:44:43		[Quicksilver has fully erased the chat message]
504	05/10/2006	19:44:35	19:44:47			i think i got the equation for the middle sticks					[1] Reference to whiteboard (whiteboardDoc)
	05/10/2006	19:44:48	19:44:50		[Quicksilver has fully erased the chat message]
505	05/10/2006	19:44:51	19:44:55		All right...lets see
	05/10/2006		19:45:00			END:TextEditing
	05/10/2006		19:45:00			[bwang8 created a textbox ]
506	05/10/2006	19:45:17	19:45:43			now we know the n by n blocks on the bottom					[1] Reference to whiteboard (whiteboardDoc)
507	05/10/2006	19:45:42	19:45:50	Yeah it seems so.
	05/10/2006		19:45:54			[bwang8 resized some objects ]
	05/10/2006	19:45:55	19:45:55		[Quicksilver has fully erased the chat message]
508	05/10/2006	19:45:56	19:45:57		yes.
509	05/10/2006	19:45:59	19:46:30			so we can use recursive equation to figure out n 3d pryamind
	05/10/2006	19:46:31	19:46:32			[bwang8 has fully erased the chat message]
510	05/10/2006	19:46:33	19:46:36			stick number
511	05/10/2006	19:46:41	19:46:42			lol
512	05/10/2006	19:46:43	19:46:48			bad grammar
513	05/10/2006	19:46:53	19:46:54		yea
514	05/10/2006	19:46:56	19:46:57		w/e
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515	05/10/2006	19:48:34	19:48:58		Ahh... I forgot how to solve that thing...We learned it like two months ago
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516	05/10/2006	19:49:06	19:49:09		Could someone remind me
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517	05/10/2006	19:49:36	19:49:50			i don't know if this equation is right
518	05/10/2006	19:49:57	19:50:04	I don't exactly remember either. :P
519	05/10/2006	19:49:55	19:50:09			the top n is the highest
520	05/10/2006	19:50:06	19:50:18		It goes up by one every time because n=1 rite?
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	05/10/2006	19:50:30	19:50:33			[bwang8 has fully erased the chat message]
521	05/10/2006	19:50:33	19:50:38			no, n start at 1
522	05/10/2006	19:50:42	19:50:46		oh yeah!!!
523	05/10/2006	19:50:40	19:50:46			this is a recursive function
524	05/10/2006		19:50:46
	05/10/2006	19:50:56	19:50:57			[bwang8 has fully erased the chat message]
	05/10/2006	19:50:54	19:50:59		[Quicksilver has fully erased the chat message]
525	05/10/2006	19:50:58	19:51:26			when n=1, plug 1 into the right equation\
	05/10/2006	19:51:21	19:51:32		[Quicksilver has fully erased the chat message]
526	05/10/2006	19:51:40	19:51:40		12?
527	05/10/2006	19:51:30	19:51:58			when n=2, plug 2 into the right equation and add the equation when n=1
528	05/10/2006	19:52:07	19:52:13		Oh...so u add the thing that came before
529	05/10/2006	19:52:16	19:52:17			yes
	05/10/2006	19:52:21	19:52:22			[bwang8 has fully erased the chat message]
	05/10/2006	19:52:22	19:52:29			[bwang8 has fully erased the chat message]
530	05/10/2006	19:52:29	19:52:31			12 is right					[1] Reference to message No. 526 (Text: 12? )
531	05/10/2006	19:52:32	19:52:54			since when there is only one cube the number of sticks is 122
532	05/10/2006	19:52:56	19:53:00			i mean 12
533	05/10/2006	19:53:03	19:53:04		lol
534	05/10/2006	19:53:03	19:53:07	I get it now.
535	05/10/2006	19:53:08	19:53:09	lol
536	05/10/2006	19:53:09	19:53:10			ok
537	05/10/2006	19:53:25	19:53:26			lol
538	05/10/2006	19:53:27	19:53:39			i think we solved the problem, didn't we
539	05/10/2006	19:53:37	19:53:54		But doesn't each cube have 4 sticks in common with another?
	05/10/2006		19:54:19		[Quicksilver created a line ]
	05/10/2006		19:54:24		[Quicksilver created a line ]
540	05/10/2006	19:54:22	19:54:24			yes
	05/10/2006	19:54:26	19:54:28			[bwang8 has fully erased the chat message]
	05/10/2006	19:54:29	19:54:29			[bwang8 has fully erased the chat message]
	05/10/2006		19:54:30		[Quicksilver created a line ]
	05/10/2006		19:54:33		[Quicksilver created a line ]
	05/10/2006		19:54:36		[Quicksilver created a line ]
541	05/10/2006	19:54:30	19:54:36			on the second level
	05/10/2006		19:54:40		[Quicksilver created a line ]
542	05/10/2006	19:54:37	19:54:40			where n =2
	05/10/2006		19:54:43		[Quicksilver created a line ]
543	05/10/2006	19:54:46	19:54:49		no but one the bottom level
544	05/10/2006	19:54:41	19:54:50			plug it into the equation
	05/10/2006		19:54:52		[Quicksilver created a line ]
	05/10/2006		19:54:55		[Quicksilver created a line ]
	05/10/2006		19:54:57		[Quicksilver created a line ]
	05/10/2006		19:54:59		[Quicksilver created a line ]
	05/10/2006		19:55:01		[Quicksilver created a line ]
	05/10/2006		19:55:06		[Quicksilver created a line ]
	05/10/2006		19:55:09		[Quicksilver created a line ]
545	05/10/2006	19:55:14	19:55:35		the middle ones are common within every two cubes....aren't we overcounting then?
546	05/10/2006	19:55:11	19:55:39			and you get 21
547	05/10/2006	19:55:47	19:55:48			yes
	05/10/2006	19:55:55	19:55:59			[bwang8 has fully erased the chat message]
548	05/10/2006	19:56:04	19:56:12			is this the second level?
549	05/10/2006	19:56:18	19:56:20		on any level
	05/10/2006	19:56:15	19:56:23			[bwang8 has fully erased the chat message]
550	05/10/2006	19:56:25	19:56:26			yes
551	05/10/2006	19:56:27	19:56:39			you only need to know the nth level
	05/10/2006	19:56:51	19:56:52		[Quicksilver has fully erased the chat message]
552	05/10/2006	19:56:52	19:56:53		ok						[1] Reference to whiteboard ()
	05/10/2006	19:56:56	19:56:58		[Quicksilver has fully erased the chat message]
553	05/10/2006	19:56:49	19:57:01			plug the level number into the right side equation
554	05/10/2006	19:57:01	19:57:03		sorry about that
555	05/10/2006	19:57:10	19:57:11		yea
556	05/10/2006	19:57:11	19:57:12		i get it
557	05/10/2006	19:57:02	19:57:19			and you can get the number of sticks needed to make that level
558	05/10/2006	19:57:21	19:57:21			ok
559	05/10/2006	19:57:36	19:57:39			no problem
560	05/10/2006	19:57:39	19:57:45		so we have to go to the wiki now
561	05/10/2006	19:58:01	19:58:24			does anyone know who to but a calculas? equation into wiki
	05/10/2006	19:58:25	19:58:29	[Aznx has fully erased the chat message]
562	05/10/2006	19:58:36	19:58:36			how					[1] Reference to message No. 561 (Text: does anyone know who to but a calculas? equation into wiki )
563	05/10/2006	19:58:42	19:58:43			put					[1] Reference to message No. 561 (Text: does anyone know who to but a calculas? equation into wiki )
564	05/10/2006	19:58:48	19:58:50	i dont know
565	05/10/2006	19:58:54	19:58:55		ask gerry
566	05/10/2006	19:58:58	19:59:01			Gerry
	05/10/2006	19:58:53	19:59:02	[Aznx has fully erased the chat message]
567	05/10/2006	19:59:07	19:59:12			are you there?
568	05/10/2006	19:59:16	19:59:17	He's there.
569	05/10/2006	19:59:18	19:59:20	He's typing.
570	05/10/2006	19:59:09	19:59:21				Can u use words
571	05/10/2006	19:59:20	19:59:21			k
	05/10/2006	19:59:39	19:59:44			[bwang8 has fully erased the chat message]
	05/10/2006	19:59:44	19:59:45		[Quicksilver has fully erased the chat message]
	05/10/2006	19:59:45	19:59:47		[Quicksilver has fully erased the chat message]
572	05/10/2006	19:59:26	19:59:49				Like Sum[Sticks(N-1)]				[1] Reference to message No. 570 (Text: Can u use words )
573	05/10/2006	19:59:57	19:59:58		Ok
574	05/10/2006	20:00:47	20:00:55			how would we put it then?
	05/10/2006	20:00:58	20:01:00			[bwang8 has fully erased the chat message]
	05/10/2006	20:00:43	20:01:01		[Quicksilver has fully erased the chat message]
	05/10/2006	20:01:00	20:01:03			[bwang8 has fully erased the chat message]
575	05/10/2006	20:01:01	20:01:03		so our equation
	05/10/2006	20:01:04	20:01:06			[bwang8 has fully erased the chat message]
576	05/10/2006	20:01:04	20:01:11		no first lets state our problem
577	05/10/2006	20:01:21	20:01:49			The number of sticks to make a N level pryamind
578	05/10/2006	20:02:03	20:02:04			?
579	05/10/2006	20:02:10	20:02:17	Yeah, that's our question.
	05/10/2006	20:02:08	20:02:22			[bwang8 has fully erased the chat message]
	05/10/2006	20:01:28	20:02:51		[Quicksilver has fully erased the chat message]
580	05/10/2006	20:02:55	20:02:56		Err...
581	05/10/2006	20:02:56	20:03:03		I kind of put somethingt different
582	05/10/2006		20:03:04
583	05/10/2006	20:03:07	20:03:09		But it's similar
584	05/10/2006	20:03:20	20:03:24	Wait, do we all have to put it in?
585	05/10/2006	20:03:27	20:03:30	Only one of us right?
586	05/10/2006	20:03:37	20:03:39		ok its fixed
587	05/10/2006	20:03:40	20:03:47		i had 3 levels but i changed it to n
588	05/10/2006	20:03:52	20:03:52			ok
589	05/10/2006	20:03:55	20:03:55		yeah
	05/10/2006	20:03:53	20:03:58			[bwang8 has fully erased the chat message]
	05/10/2006	20:03:59	20:03:59		[Quicksilver has fully erased the chat message]
590	05/10/2006	20:03:58	20:04:00			it is great
591	05/10/2006	20:04:00	20:04:03		you guys can add on
592	05/10/2006	20:04:04	20:04:08		i just put the basic
593	05/10/2006	20:04:15	20:04:20		Maybe share our results?
	05/10/2006	20:04:29	20:04:37			[bwang8 has fully erased the chat message]
	05/10/2006	20:04:38	20:04:40			[bwang8 has fully erased the chat message]
594	05/10/2006	20:04:47	20:04:53	We technically had the same result.
595	05/10/2006	20:05:01	20:05:07		Whaddya mean?
596	05/10/2006	20:05:18	20:05:21		oh as yesterday?
	05/10/2006	20:05:15	20:05:26	[Aznx has fully erased the chat message]
597	05/10/2006	20:05:29	20:05:31	Yeah.
	05/10/2006	20:04:41	20:05:34			[bwang8 has fully erased the chat message]
598	05/10/2006	20:05:34	20:05:36	And today.
599	05/10/2006	20:05:38	20:05:40		Still...
600	05/10/2006	20:05:37	20:05:43	Well today was really a discussion.
601	05/10/2006	20:05:40	20:05:46		we should say that'
602	05/10/2006	20:05:46	20:05:52	Not finding an answer, although we did. =P
603	05/10/2006	20:06:00	20:06:01	Say what?
	05/10/2006	20:06:00	20:06:03			[bwang8 has fully erased the chat message]
604	05/10/2006	20:05:58	20:06:09		bwang what do you say we add to the wiki?
	05/10/2006	20:06:10	20:06:11		[Quicksilver has fully erased the chat message]
605	05/10/2006	20:06:12	20:06:21		we should say we got the same answer						[1] Reference to message No. 603 (Text: Say what? )
606	05/10/2006	20:06:27	20:06:30	Yeah.
607	05/10/2006	20:06:24	20:06:39		That may mean these types of problems all are similar in one way
608	05/10/2006	20:06:16	20:06:39			maybe add that the previous level is 1 more in dimension than the next level
	05/10/2006	20:06:39	20:06:42		[Quicksilver has fully erased the chat message]
	05/10/2006	20:06:44	20:06:46		[Quicksilver has fully erased the chat message]
609	05/10/2006	20:06:51	20:06:55	Wait, who is submitting?
610	05/10/2006	20:06:56	20:06:57	bwang?
611	05/10/2006	20:06:43	20:06:59			tell them the intervals between levels
612	05/10/2006	20:06:59	20:07:06	or quicksilver, or me?
613	05/10/2006	20:07:02	20:07:08			sorry, i am bad with words
	05/10/2006	20:07:04	20:07:12		[Quicksilver has fully erased the chat message]
614	05/10/2006	20:07:13	20:07:14		So am i
615	05/10/2006	20:07:13	20:07:15	Not to worry.
616	05/10/2006	20:07:17	20:07:21	We should write it out
617	05/10/2006	20:07:21	20:07:22	here
618	05/10/2006	20:07:18	20:07:24		Aznx to the rescue lol
619	05/10/2006	20:07:24	20:07:26	Together
	05/10/2006	20:07:27	20:07:28			[bwang8 has fully erased the chat message]
620	05/10/2006	20:07:29	20:07:30		sure
621	05/10/2006	20:07:28	20:07:30	No not that
	05/10/2006	20:07:31	20:07:34			[bwang8 has fully erased the chat message]
622	05/10/2006	20:07:32	20:07:34		a conclusion
623	05/10/2006	20:07:33	20:07:34	Yeah lol
624	05/10/2006	20:07:34	20:07:36			yeah
625	05/10/2006	20:07:44	20:07:51	So first, we started off with the basic problem.
626	05/10/2006	20:07:52	20:07:57	and changed it to a 3-D problem
627	05/10/2006	20:07:59	20:08:02	to make it more challenging
628	05/10/2006	20:08:03	20:08:04		Yea
629	05/10/2006	20:08:03	20:08:22	then we divided the top, bottom, and middle area down, to make the problem simpler for us
630	05/10/2006	20:08:27	20:08:42	Then, we recognized the 2N(N+1) pattern in the middle area
631	05/10/2006	20:08:37	20:08:44		That was one strategy\
632	05/10/2006	20:08:49	20:08:54	that's our second: finding a pattern
633	05/10/2006	20:08:52	20:08:55		dividing it						[1] Reference to message No. 631 (Text: That was one strategy\ )
634	05/10/2006	20:08:58	20:08:59		yes
	05/10/2006	20:08:50	20:09:00			[bwang8 has fully erased the chat message]
635	05/10/2006	20:08:55	20:09:07	Finally, we used the recursion method to figure out the obttom area,
	05/10/2006	20:09:11	20:09:12	[Aznx has fully erased the chat message]
	05/10/2006	20:09:04	20:09:13			[bwang8 has fully erased the chat message]
636	05/10/2006	20:09:14	20:09:15		obttom?
637	05/10/2006		20:09:16								[1] Reference to message No. 630 (Text: Then, we recognized the 2N(N+1) pattern in the middle area )
638	05/10/2006	20:09:12	20:09:19	So that's three strategies right there.
639	05/10/2006	20:09:30	20:09:32	I meant bottom
	05/10/2006	20:09:18	20:09:34		[Quicksilver has fully erased the chat message]
640	05/10/2006	20:09:35	20:09:37		oh!!
641	05/10/2006	20:09:38	20:09:41		ha i should have gotten ikt
	05/10/2006	20:09:42	20:09:47	[Aznx has fully erased the chat message]
642	05/10/2006	20:09:48	20:09:50	ikt? lol
	05/10/2006	20:09:50	20:09:54		[Quicksilver has fully erased the chat message]
643	05/10/2006	20:09:55	20:09:55		it
644	05/10/2006	20:09:58	20:09:58	i know
645	05/10/2006	20:09:58	20:10:01	i was joking =P
646	05/10/2006	20:09:58	20:10:06		anyway...how do we put this on the wiki
647	05/10/2006	20:09:59	20:10:07			are we putting these on wiki
648	05/10/2006	20:10:11	20:10:12	Yes.
	05/10/2006	20:10:13	20:10:15	[Aznx has fully erased the chat message]
	05/10/2006	20:10:09	20:10:18			[bwang8 has fully erased the chat message]
649	05/10/2006	20:10:19	20:10:19			ok
650	05/10/2006	20:10:16	20:10:32	I think bwang should put it in, since he's more familiar with the recursion method and how to use it than we are,
651	05/10/2006	20:10:34	20:10:36	Agreed?
652	05/10/2006	20:10:34	20:10:51		Today's topic siad go to the wiki and share the most intersting math problems that your group chose to work on
653	05/10/2006	20:10:58	20:10:59		agreed
654	05/10/2006	20:11:10	20:11:15		but we do understand it now
655	05/10/2006	20:11:15	20:11:18		that's important
656	05/10/2006	20:11:08	20:11:28	Well, we should just say we wanted to explore yesterday's problem more.
657	05/10/2006	20:11:21	20:11:29		maybe we can apply it next time...who knows?
658	05/10/2006	20:11:30	20:11:32	Yes, we do.
659	05/10/2006	20:11:28	20:11:32			ok
660	05/10/2006	20:11:41	20:12:06			we can use the strategy we used to solve this problem to solve future problems
	05/10/2006	20:12:13	20:12:15			[bwang8 has fully erased the chat message]
	05/10/2006	20:12:24	20:12:26			[bwang8 has fully erased the chat message]
661	05/10/2006	20:12:26	20:12:31			the method is important
662	05/10/2006	20:12:32	20:12:36			not the answer
663	05/10/2006	20:12:47	20:12:48	Yup.
664	05/10/2006	20:12:46	20:12:49		definiteyly
665	05/10/2006	20:12:48	20:12:56	Always learned that whereever I learned math. =P
666	05/10/2006	20:12:40	20:13:05			we learn that divide the problem up can make it simpler and easier to solve
667	05/10/2006	20:13:02	20:13:09		so bwang...are you updating the wiki?
668	05/10/2006	20:13:14	20:13:14		yea
669	05/10/2006	20:13:09	20:13:21	we also learned finding a pattern is a good step
670	05/10/2006	20:13:26	20:13:39		yes and we could have also started with a simpler problem
671	05/10/2006	20:13:40	20:13:42		in fact...we did
672	05/10/2006	20:13:22	20:13:43	and recursion can be usually used when solving for a pattern, after finding the designated pattern of course
673	05/10/2006	20:13:43	20:13:48		yesterday's problem was simpler
674	05/10/2006	20:13:50	20:13:52	yes, we did!
	05/10/2006	20:13:38	20:13:56			[bwang8 has fully erased the chat message]
675	05/10/2006	20:13:53	20:14:00	so we actually used 4 strategies =D
676	05/10/2006	20:14:11	20:14:12		yes
677	05/10/2006	20:14:20	20:14:34	We also tried to look at the problem from different views, although it's not really a strategy.
678	05/10/2006	20:14:37	20:14:57	It gave us quite a few clues that it will be similar in many ways to yesterday's problem.
679	05/10/2006	20:15:12	20:15:13		mmhmm
	05/10/2006	20:15:27	20:15:27		[Quicksilver has fully erased the chat message]
680	05/10/2006	20:15:27	20:15:32		we related it to something we knew
681	05/10/2006	20:15:21	20:15:46				So, can you all come back here at the same time next Tuesday?
	05/10/2006	20:15:45	20:15:49		[Quicksilver has fully erased the chat message]
682	05/10/2006	20:15:50	20:15:51		yes
	05/10/2006	20:15:52	20:15:56		[Quicksilver has fully erased the chat message]
683	05/10/2006	20:16:13	20:16:13	Yes.
684	05/10/2006	20:16:11	20:16:15			next tuesday?
	05/10/2006	20:16:17	20:16:20			[bwang8 has fully erased the chat message]
685	05/10/2006	20:16:20	20:16:28			don't we have a session this firday?
686	05/10/2006	20:16:37	20:16:37		no
687	05/10/2006	20:16:45	20:16:57				no, we did it today instead of Thursday				[1] Reference to message No. 685 (Text: don't we have a session this firday? )
688	05/10/2006	20:17:15	20:17:15			o
	05/10/2006	20:17:25	20:17:28			[bwang8 has fully erased the chat message]
689	05/10/2006	20:17:10	20:17:44				Then we should do it again next Tuesday and next Thursday at the same time				[1] Reference to message No. 687 (Text: no, we did it today instead of Thursday )
690	05/10/2006	20:17:51	20:17:58		Yea...too bad there are only two more days
691	05/10/2006	20:17:59	20:18:04		this is very fun
692	05/10/2006	20:18:08	20:18:13	Only two more days??!!!
693	05/10/2006	20:18:13	20:18:15			oh
694	05/10/2006	20:18:17	20:18:17			ok
	05/10/2006	20:18:19	20:18:21			[bwang8 has fully erased the chat message]
695	05/10/2006	20:18:25	20:18:29			this is great
696	05/10/2006	20:18:32	20:18:36	Yeah, I personally love it.
697	05/10/2006	20:18:24	20:18:41				We can talk about doing more after next week				[1] Reference to message No. 690 (Text: Yea...too bad there are only two more days )
698	05/10/2006	20:18:40	20:18:41		same
	05/10/2006	20:18:41	20:18:43		[Quicksilver has fully erased the chat message]
699	05/10/2006	20:18:46	20:18:46		ok
700	05/10/2006	20:18:47	20:18:47	Ok.
701	05/10/2006	20:18:49	20:18:54	Farewell for now I guess?
702	05/10/2006	20:18:54	20:19:04		But for today I guess we are done
703	05/10/2006	20:19:16	20:19:20		I'll just update the wiki a bit more
704	05/10/2006	20:19:00	20:19:22				If anything comes up, you can come back in this room and send an email
705	05/10/2006	20:19:32	20:19:50				The Send Mail button next to the View Topic button lets you do that				[1] Reference to message No. 704 (Text: If anything comes up, you can come back in this room and send an email )
706	05/10/2006	20:20:14	20:20:14			ok					[1] Reference to message No. 695 (Text: this is great )
	05/10/2006	20:20:03	20:20:18	[Aznx has fully erased the chat message]
707	05/10/2006	20:20:19	20:20:20	Alright.
708	05/10/2006	20:20:04	20:20:24				just check the members box				[1] Reference to message No. 705 (Text: The Send Mail button next to the View Topic button lets you do that )
709	05/10/2006	20:20:32	20:20:33		ok
710	05/10/2006	20:20:38	20:20:51				Have a great weekend and look for patterns in the world
711	05/10/2006	20:20:58	20:20:59		thanks
712	05/10/2006	20:21:02	20:21:12	Thanks, and see you all on Tuesday.
713	05/10/2006	20:21:16	20:21:26		Ok.....bye all
714	05/10/2006		20:21:34				leaves the room
715	05/10/2006		20:21:36	leaves the room
716	05/10/2006		20:21:38		leaves the room
717	05/10/2006	20:21:48	20:21:52			check the wiki page
	05/10/2006	20:21:56	20:21:59			[bwang8 has fully erased the chat message]
718	05/10/2006		20:22:26		joins the room
719	05/10/2006		20:22:45		leaves the room
720	05/10/2006	20:22:44	20:22:50			i can't get any message
721	05/10/2006	20:22:52	20:22:56			they are delayed
722	05/10/2006	20:22:56	20:23:01			i think i miss some
723	05/10/2006		20:23:38			leaves the room
724	05/11/2006		15:44:25						joins the room
725	05/11/2006		16:16:06						leaves the room
726	05/12/2006		23:21:06		joins the room
	05/12/2006		23:21:45		[Quicksilver moved some object/s ]
	05/12/2006		23:21:46		START:TextEditing
	05/12/2006		23:22:04		END:TextEditing
727	05/12/2006		23:22:04		leaves the room
728	05/15/2006		17:02:09				joins the room
	05/15/2006		17:05:42				[Gerry moved some object/s ]
	05/15/2006		17:05:47				START:TextEditing
	05/15/2006		17:06:06				END:TextEditing
	05/15/2006		17:06:06				[Gerry changed the text to: VMT Feedback on Session #1 We were very interested in the approach that divided the figure into the horizontal lines and the vertical lines and the quickness with which formulas fell out of that approach. It seemed as though you also were paying attention to each other's work and quickly reached agreement. You handled the technology of the chat environment and the wiki easily. We also noticed two places in the chat where some kinds of conversation did not happen. There was a point where 44 was posted as the number of sticks and 40 was offered as a correction. There was no discussion of how 44 was calculated. At another moment, Quicksilver posted an explanation of the pattern of growth that was not discussed. There was a sense in which you indicated that your work was done when you had at least one answer for the questions in the problem. For the next step we will encourage you to think more about the different approaches and the problems that you can discover on your own and that are interesting to pursue. ]
	05/15/2006		17:06:14				START:TextEditing
	05/15/2006		17:40:41				END:TextEditing
	05/15/2006		17:40:41				[Gerry created a textbox ]
	05/15/2006		17:44:21				[Gerry changed layout ]
	05/15/2006		17:44:40				[Gerry changed layout ]
	05/15/2006		17:44:50				[Gerry moved some object/s ]
	05/15/2006		17:44:54				[Gerry moved some object/s ]
	05/15/2006		17:44:58				[Gerry moved some object/s ]
	05/15/2006		17:45:15				[Gerry changed layout ]
	05/15/2006		17:45:29				START:TextEditing
	05/15/2006		17:45:39				END:TextEditing
	05/15/2006		17:45:39				[Gerry changed the text to: VMT Feedback on Session #1 We were very interested in the approach that divided the figure into the horizontal lines and the vertical lines and the quickness with which formulas fell out of that approach. It seemed as though you also were paying attention to each other's work and quickly reached agreement. You handled the technology of the chat environment and the wiki easily. We also noticed two places in the chat where some kinds of conversation did not happen. There was a point where 44 was posted as the number of sticks and 40 was offered as a correction. There was no discussion of how 44 was calculated. At another moment, Quicksilver posted an explanation of the pattern of growth that was not discussed. There was a sense in which you indicated that your work was done when you had at least one answer for the questions in the problem. For the next step we will encourage you to think more about the different approaches and the problems that you can discover on your own and that are interesting to pursue. ]
	05/15/2006		17:45:57				[Gerry moved some object/s ]
	05/15/2006		17:46:01				START:TextEditing
	05/15/2006		17:46:17				END:TextEditing
	05/15/2006		17:46:20				START:TextEditing
	05/15/2006		17:46:26				END:TextEditing
	05/15/2006		17:46:26				[Gerry created a textbox ]
	05/15/2006		17:46:34				[Gerry deleted some object/s ]
	05/15/2006		17:46:40				[Gerry moved some object/s ]
	05/15/2006		17:46:47				[Gerry resized some objects ]
	05/15/2006		17:46:55				[Gerry resized some objects ]
	05/15/2006		17:46:59				[Gerry resized some objects ]
	05/15/2006		17:47:02				[Gerry resized some objects ]
	05/15/2006		17:47:07				[Gerry changed layout ]
	05/15/2006		17:47:24				[Gerry resized some objects ]
	05/15/2006		17:47:26				[Gerry resized some objects ]
	05/15/2006		17:48:09				START:TextEditing
	05/15/2006		17:58:13				END:TextEditing
	05/15/2006		17:58:13				[Gerry changed the text to: VMT Feedback on Session #2 You can load the old chat messages by clicking on the double arrow icon above the chat scroll bar. You can look through the history of the whiteboard by using the scroll bar all the way on the left (be sure to scroll all the way down to the present in order to draw anything new.) You did a great job of defining a challenging problem and solving it by using a combination of methods that were well suited to the problem. And you shared what you did with the other groups in the wiki. You noticed that stating the problem and making it clear to everyone is a big part of working on a problem. In going to 3-D, you selected a particular kind of pyramid. How would your problem change if you had two flat sides, with each layer in a corner of the layer underneath, so that some cube faces and edges (sticks) were shared between layers? Can you explain your formula for the number of sticks so that someone in a different group can see how you got it by breaking each layer into its top surface, bottom and middle and then counting the horizontal and vertical sticks separately ]
	05/15/2006		17:58:19				[Gerry resized some objects ]
	05/15/2006		17:58:31				START:TextEditing
	05/15/2006		18:01:06				END:TextEditing
	05/15/2006		18:01:06				[Gerry changed the text to: VMT Feedback on Session #2 You can load the old chat messages by clicking on the double arrow icon above the chat scroll bar. You can look through the history of the whiteboard by using the scroll bar all the way on the left (be sure to scroll all the way down to the present in order to draw anything new.) You did a great job of defining a challenging problem and solving it by using a combination of methods that were well suited to the problem. And you shared what you did with the other groups in the wiki. You noticed that stating the problem and making it clear to everyone is a big part of working on a problem. In going to 3-D, you selected a particular kind of pyramid. How would your problem change if you had two flat sides, with each layer in a corner of the layer underneath, so that some cube faces and edges (sticks) were shared between layers? Can you explain your formula for the number of sticks so that someone in a different group can see how you got it by breaking each layer into its top surface, bottom and middle and then counting the horizontal and vertical sticks separately? ]
	05/15/2006		18:01:11				START:TextEditing
	05/15/2006		18:03:51				END:TextEditing
	05/15/2006		18:03:51				[Gerry changed the text to: VMT Feedback on Session #2 You can load the old chat messages by clicking on the double arrow icon above the chat scroll bar. You can look through the history of the whiteboard by using the scroll bar all the way on the left (be sure to scroll all the way down to the present in order to draw anything new.) You did a great job of defining a challenging problem and solving it by using a combination of methods that were well suited to the problem. And you shared what you did with the other groups in the wiki. You noticed that stating the problem and making it clear to everyone is a big part of working on a problem. In going to 3-D, you selected a particular kind of pyramid. How would your problem change if you had two flat sides, with each layer in a corner of the layer underneath, so that some cube faces and edges (sticks) were shared between layers? Can you explain your formula for the number of sticks so that someone in a different group can see how you got it by breaking each layer into its top surface, bottom and middle and then counting the horizontal and vertical sticks separately? Do you understand how team C got its formulae for the diamond pattern of squares? What if they had a diamond pattern of diamonds (just rotate the squares 45 degrees)? What shapes make mathematically interesting patterns in 2-D or in 3-D? ]
729	05/15/2006	18:04:37	18:04:58				Here is some feedback on your work last session.				[1] Reference to whiteboard ()
	05/15/2006		18:05:30				START:TextEditing
	05/15/2006		19:26:04				END:TextEditing
730	05/15/2006		19:26:09				leaves the room
731	05/16/2006		11:38:01				joins the room
732	05/16/2006		15:26:03				leaves the room
733	05/16/2006		18:35:54	joins the room
734	05/16/2006		18:36:27				joins the room
735	05/16/2006		18:55:05		joins the room
736	05/16/2006	19:01:30	19:01:43	Did you fnish reading the netire feedback yet? =P
737	05/16/2006		19:03:32			joins the room
738	05/16/2006	19:04:00	19:04:09				Hi Quicksilver!
739	05/16/2006	19:04:17	19:04:18		yes
740	05/16/2006	19:04:25	19:04:25		Hi
741	05/16/2006	19:04:24	19:04:31	bwang I suppose you're done as well?
742	05/16/2006	19:04:39	19:04:41			yes
743	05/16/2006	19:04:44	19:04:45	Alright.
744	05/16/2006	19:04:46	19:04:49	What do you think?
745	05/16/2006	19:04:50	19:04:53	About the feedback?
746	05/16/2006	19:04:52	19:05:00		What did it mean by two flat sides?
	05/16/2006	19:05:04	19:05:08			[bwang8 has fully erased the chat message]
747	05/16/2006	19:05:00	19:05:12		How would a pyramid have two flat sides?
748	05/16/2006	19:05:26	19:05:36		Actually....lets erase some stuff from the whiteboard
	05/16/2006	19:05:28	19:05:40	[Aznx has fully erased the chat message]
749	05/16/2006	19:05:41	19:05:42	Yeah.
	05/16/2006		19:05:50			[bwang8 moved some object/s ]
750	05/16/2006	19:05:44	19:05:51	It gets crowded too much every session lol.
	05/16/2006	19:05:48	19:05:55		[Quicksilver has fully erased the chat message]
751	05/16/2006	19:05:55	19:05:57		NO!!!
752	05/16/2006	19:05:58	19:06:04		That was this sessions's comments
753	05/16/2006	19:06:09	19:06:10			?
754	05/16/2006	19:06:09	19:06:15	Greg can you get it back for us?
	05/16/2006	19:06:09	19:06:17		[Quicksilver has fully erased the chat message]
755	05/16/2006	19:06:18	19:06:20		Oh never mind
	05/16/2006	19:06:13	19:06:23			[bwang8 has fully erased the chat message]
756	05/16/2006	19:06:21	19:06:24		you moved it to the side
	05/16/2006	19:06:19	19:06:24	[Aznx has fully erased the chat message]
757	05/16/2006	19:06:26	19:06:26	Oh
758	05/16/2006	19:06:32	19:06:32	Lol
	05/16/2006	19:06:27	19:06:35		[Quicksilver has fully erased the chat message]
759	05/16/2006	19:06:35	19:06:36			yeah
760	05/16/2006	19:06:38	19:06:39			lol
	05/16/2006	19:06:35	19:06:42		[Quicksilver has fully erased the chat message]
761	05/16/2006	19:06:43	19:06:46		yea i didn't see that
762	05/16/2006	19:06:47	19:06:50				lol!
	05/16/2006	19:06:50	19:06:52		[Quicksilver has fully erased the chat message]
763	05/16/2006	19:07:03	19:07:13		Oh yeah aznx...his name is gerry not greg
764	05/16/2006	19:07:19	19:07:19	Oopsa
765	05/16/2006	19:06:54	19:07:22				You can always scroll back in the whiteboard history to see (and copy) something you erased
	05/16/2006		19:07:22		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:23		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:26		[Quicksilver deleted some object/s ]
	05/16/2006	19:07:22	19:07:28	[Aznx has fully erased the chat message]
	05/16/2006		19:07:29		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:30		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:31		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:32		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:33		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:34		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:35		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:35		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:37		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:38		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:41		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:42		[Quicksilver deleted some object/s ]
766	05/16/2006	19:07:39	19:07:44	What's with the squares?
	05/16/2006		19:07:45		[Quicksilver deleted some object/s ]
	05/16/2006		19:07:48		[Quicksilver deleted some object/s ]
767	05/16/2006	19:07:50	19:07:51		yeah
	05/16/2006		19:07:58		[Quicksilver deleted some object/s ]
	05/16/2006		19:08:00		[Quicksilver deleted some object/s ]
	05/16/2006		19:08:01		[Quicksilver deleted some object/s ]
	05/16/2006		19:08:01		[Quicksilver resized some objects ]
	05/16/2006		19:08:01		[Quicksilver deleted some object/s ]
768	05/16/2006	19:07:53	19:08:03			i think that's for each black board action
769	05/16/2006	19:07:57	19:08:10				Yeah -- I don't know either
	05/16/2006	19:08:10	19:08:12		[Quicksilver has fully erased the chat message]
770	05/16/2006	19:08:13	19:08:20		every time i dleted a line a square came
771	05/16/2006	19:08:17	19:08:21	Let's just ignore it.
772	05/16/2006	19:08:25	19:08:25		yes
	05/16/2006		19:08:32			[bwang8 deleted some object/s ]
	05/16/2006		19:08:36			[bwang8 created a line ]
	05/16/2006		19:08:39			[bwang8 deleted some object/s ]
773	05/16/2006	19:08:31	19:08:43		can i delete first session's comments?
774	05/16/2006	19:08:41	19:08:43			yep
	05/16/2006		19:08:50		[Quicksilver deleted some object/s ]
	05/16/2006		19:08:51	[Aznx moved some object/s ]
	05/16/2006		19:08:56		[Quicksilver deleted some object/s ]
	05/16/2006		19:08:56	[Aznx moved some object/s ]
	05/16/2006		19:08:57		[Quicksilver deleted some object/s ]
	05/16/2006		19:08:58	[Aznx moved some object/s ]
	05/16/2006		19:08:59		[Quicksilver deleted some object/s ]
	05/16/2006		19:09:00		[Quicksilver deleted some object/s ]
	05/16/2006		19:09:00		[Quicksilver deleted some object/s ]
	05/16/2006		19:09:01	[Aznx moved some object/s ]
	05/16/2006		19:09:01		[Quicksilver deleted some object/s ]
	05/16/2006		19:09:03		[Quicksilver deleted some object/s ]
	05/16/2006		19:09:04		[Quicksilver deleted some object/s ]
	05/16/2006		19:09:09		[Quicksilver deleted some object/s ]
	05/16/2006		19:09:10	[Aznx moved some object/s ]
775	05/16/2006	19:09:02	19:09:19			the squares tell you who is doing each action
776	05/16/2006	19:09:25	19:09:28		oh
	05/16/2006		19:09:30			[bwang8 deleted some object/s ]
777	05/16/2006	19:09:27	19:09:32	Can someone remove that whiteboard?							[1] Reference to whiteboard (LineStuff-1147304313060-21118885)
	05/16/2006		19:09:33			[bwang8 deleted some object/s ]
	05/16/2006	19:09:34	19:09:38	[Aznx has fully erased the chat message]
	05/16/2006	19:09:38	19:09:40		[Quicksilver has fully erased the chat message]
778	05/16/2006	19:09:40	19:09:46		the enitre whiteboard?
	05/16/2006		19:09:54		[Quicksilver deleted some object/s ]
	05/16/2006		19:10:25			[bwang8 deleted some object/s ]
	05/16/2006		19:10:30			[bwang8 deleted some object/s ]
	05/16/2006		19:10:32		[Quicksilver deleted some object/s ]
	05/16/2006		19:10:32			[bwang8 deleted some object/s ]
	05/16/2006		19:10:33		[Quicksilver deleted some object/s ]
779	05/16/2006	19:10:34	19:10:34	Ok.
	05/16/2006		19:10:35		[Quicksilver deleted some object/s ]
	05/16/2006		19:10:36		[Quicksilver deleted some object/s ]
	05/16/2006		19:10:37		[Quicksilver deleted some object/s ]
	05/16/2006		19:10:40			[bwang8 deleted some object/s ]
	05/16/2006		19:10:42			[bwang8 resized some objects ]
780	05/16/2006	19:10:36	19:10:44	So let's go back to the feedback discussion.
	05/16/2006		19:10:46			[bwang8 deleted some object/s ]
781	05/16/2006	19:10:44	19:10:51		so we have to explain our formula more
	05/16/2006	19:10:51	19:10:54		[Quicksilver has fully erased the chat message]
782	05/16/2006	19:10:46	19:10:55	How do you think we could've improved?
	05/16/2006		19:10:55			[bwang8 moved some object/s ]
783	05/16/2006	19:10:56	19:10:58	What else?
	05/16/2006		19:10:59			[bwang8 moved some object/s ]
	05/16/2006		19:11:01			[bwang8 moved some object/s ]
784	05/16/2006	19:11:03	19:11:17	I personally saw last time as a great experience to use so amny solving techniques.
	05/16/2006	19:11:10	19:11:25		[Quicksilver has fully erased the chat message]
	05/16/2006	19:11:24	19:11:25	[Aznx has fully erased the chat message]
	05/16/2006	19:11:25	19:11:27		[Quicksilver has fully erased the chat message]
785	05/16/2006	19:11:26	19:11:31	Excuse my spelling errors.
786	05/16/2006	19:11:27	19:11:48		yes, but at the same time we could have followed up the problem
787	05/16/2006	19:11:50	19:11:52		like the suggestions
788	05/16/2006	19:11:54	19:11:57		if it had 2 flat sides
789	05/16/2006	19:12:02	19:12:06			what does it mean?
	05/16/2006	19:12:11	19:12:12			[bwang8 has fully erased the chat message]
790	05/16/2006	19:12:15	19:12:22		I personally don't get the two flat sides
791	05/16/2006	19:12:22	19:12:29		I don't know how a pyrmaid would do that
	05/16/2006		19:13:02		[Quicksilver deleted some object/s ]
	05/16/2006		19:13:05		[Quicksilver resized some objects ]
	05/16/2006		19:13:06		[Quicksilver deleted some object/s ]
	05/16/2006		19:13:07		[Quicksilver resized some objects ]
	05/16/2006		19:13:07		[Quicksilver deleted some object/s ]
	05/16/2006		19:13:08		[Quicksilver deleted some object/s ]
	05/16/2006		19:13:13		[Quicksilver deleted some object/s ]
	05/16/2006		19:13:14		[Quicksilver deleted some object/s ]
792	05/16/2006	19:13:00	19:13:22				Imagine stacking the blocks in a corner of a room, against the walls
793	05/16/2006		19:13:22
794	05/16/2006	19:13:33	19:13:33		Oh
795	05/16/2006	19:13:34	19:13:35		I see
796	05/16/2006	19:13:36	19:13:36			ok
797	05/16/2006	19:13:37	19:13:41		So.....ok
	05/16/2006	19:13:45	19:13:46			[bwang8 has fully erased the chat message]
	05/16/2006		19:13:57		[Quicksilver created a rectangle ]
	05/16/2006		19:14:01		[Quicksilver created a rectangle ]
	05/16/2006		19:14:06		[Quicksilver created a rectangle ]
	05/16/2006		19:14:08		[Quicksilver created a rectangle ]
	05/16/2006		19:14:08		[Quicksilver created a rectangle ]
	05/16/2006		19:14:10		[Quicksilver deleted some object/s ]
	05/16/2006		19:14:21		[Quicksilver changed layout ]
798	05/16/2006	19:14:16	19:14:29			The equation would still be the same, right?
	05/16/2006		19:14:29		[Quicksilver changed layout ]
	05/16/2006		19:14:32		[Quicksilver deleted some object/s ]
	05/16/2006		19:14:40		[Quicksilver created a rectangle ]
799	05/16/2006	19:14:44	19:14:46		I think so
800	05/16/2006	19:14:29	19:14:47			because there are the same number of cube each level
801	05/16/2006	19:14:47	19:14:50		but lets explain that
802	05/16/2006	19:14:53	19:14:58		bcuz that was in the feedback too
	05/16/2006		19:15:09		[Quicksilver changed layout ]
803	05/16/2006	19:15:04	19:15:13	It would make sense to me that the formula is the same.
	05/16/2006		19:15:19		[Quicksilver created a rectangle ]
804	05/16/2006	19:15:14	19:15:23	But I don't see why it should either.
	05/16/2006		19:15:23		[Quicksilver created a rectangle ]
	05/16/2006		19:15:28		[Quicksilver created a rectangle ]
805	05/16/2006	19:15:24	19:15:31	I can't find a specific explanation.
	05/16/2006		19:15:33		[Quicksilver created a rectangle ]
	05/16/2006		19:15:36		[Quicksilver created a rectangle ]
	05/16/2006		19:15:40		[Quicksilver created a rectangle ]
	05/16/2006		19:15:47		[Quicksilver created a line ]
	05/16/2006		19:15:50		[Quicksilver created a line ]
806	05/16/2006	19:15:43	19:15:51	I mean, there should technically be some changes right?
	05/16/2006		19:15:53		[Quicksilver created a line ]
	05/16/2006		19:15:55		[Quicksilver created a line ]
807	05/16/2006	19:15:54	19:15:56	Or maybe not...
	05/16/2006		19:16:00		[Quicksilver created a line ]
	05/16/2006		19:16:02		[Quicksilver created a line ]
	05/16/2006	19:15:57	19:16:03	[Aznx has fully erased the chat message]
	05/16/2006		19:16:04		[Quicksilver created a line ]
	05/16/2006		19:16:06		[Quicksilver created a line ]
	05/16/2006		19:16:08		[Quicksilver created a line ]
808	05/16/2006	19:16:04	19:16:10	Let's sovle it. :P
	05/16/2006		19:16:11		[Quicksilver created a line ]
	05/16/2006		19:16:14		[Quicksilver created a line ]
	05/16/2006		19:16:20			[bwang8 moved some object/s ]
809	05/16/2006	19:16:16	19:16:20		Excuse my poor drawings
	05/16/2006		19:16:25		[Quicksilver created a line ]
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810	05/16/2006	19:16:28	19:16:47				What does the feedback say about the difference this would make?
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811	05/16/2006	19:17:06	19:17:17	There would be a similar sharing in between the layers.
	05/16/2006	19:17:16	19:17:20		[Quicksilver has fully erased the chat message]
812	05/16/2006	19:17:18	19:17:26	So the number would technically be bigger.
	05/16/2006	19:17:23	19:17:30		[Quicksilver has fully erased the chat message]
813	05/16/2006	19:17:25	19:17:31			oooh
	05/16/2006	19:17:32	19:17:33		[Quicksilver has fully erased the chat message]
814	05/16/2006	19:17:37	19:17:38		Yes
815	05/16/2006	19:17:43	19:17:48		Each layer is broken up separately
816	05/16/2006	19:17:38	19:18:01			so each layer would be missing a bottom, other than the bottommost layer
	05/16/2006	19:18:02	19:18:07		[Quicksilver has fully erased the chat message]
817	05/16/2006	19:18:07	19:18:11			right?
818	05/16/2006	19:18:15	19:18:17		How
819	05/16/2006	19:18:18	19:18:21		I don't think so
820	05/16/2006	19:18:25	19:18:29	Yeah, I don't think so either.
821	05/16/2006	19:18:22	19:18:30		Well....are the layers vertical or horizontal
	05/16/2006		19:18:43		[Quicksilver created a line ]
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822	05/16/2006	19:18:46	19:18:58	Let's start off with only 1 block in the first layer.
823	05/16/2006	19:18:59	19:19:02	So there one block.
	05/16/2006		19:19:08		[Quicksilver created a line ]
824	05/16/2006	19:19:08	19:19:08			ok
825	05/16/2006	19:19:04	19:19:10	Then next turn it turn into three.
826	05/16/2006	19:19:16	19:19:17	And then 5.
827	05/16/2006	19:19:17	19:19:20		What do you mean?
828	05/16/2006	19:19:22	19:19:22	7
829	05/16/2006	19:19:23	19:19:24	and so on
830	05/16/2006	19:19:28	19:19:30	KLemme show you
831	05/16/2006	19:19:32	19:19:33		Ok
	05/16/2006		19:19:40	[Aznx created a line ]
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832	05/16/2006	19:19:56	19:20:04		That's a topp view isn't it?
833	05/16/2006	19:20:08	19:20:09		OH yes
	05/16/2006	19:20:10	19:20:10		[Quicksilver has fully erased the chat message]
834	05/16/2006	19:20:11	19:20:11		i see
835	05/16/2006	19:20:11	19:20:14	That's the bottom layer
	05/16/2006		19:20:19	[Aznx created a line ]
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836	05/16/2006	19:20:21	19:20:34		Actually the thrid layer should have six
	05/16/2006		19:20:34	[Aznx created a scribble ]
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	05/16/2006		19:20:38	[Aznx created a scribble ]
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837	05/16/2006	19:20:47	19:20:48	How?
	05/16/2006		19:20:54		[Quicksilver created a rectangle ]
838	05/16/2006	19:21:00	19:21:05	Why would you put a block there though?
839	05/16/2006	19:21:01	19:21:06		You have to increase in the middle too						[1] Reference to whiteboard (LineStuff-1147821656867-19160468)
	05/16/2006	19:21:07	19:21:12	[Aznx has fully erased the chat message]
840	05/16/2006	19:21:15	19:21:17	You're right!
841	05/16/2006	19:21:22	19:21:25	So there would be 6
842	05/16/2006	19:21:18	19:21:25		Then it's ljust like a wall if you don't have anythign there
	05/16/2006	19:21:27	19:21:29			[bwang8 has fully erased the chat message]
843	05/16/2006	19:21:30	19:21:30			ok
844	05/16/2006	19:21:27	19:21:38		Just imagine two walls coming together....that's not a pyramid
845	05/16/2006	19:21:37	19:21:47	So the progression is 1, 3, 6...
846	05/16/2006	19:21:50	19:21:55	It's triagular numbers, right?
	05/16/2006		19:22:07		[Quicksilver created a line ]
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847	05/16/2006	19:21:54	19:22:23		I think its four for the second step isn't it?
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	05/16/2006	19:22:04	19:22:37	[Aznx has fully erased the chat message]
848	05/16/2006	19:22:38	19:22:38	hm.
	05/16/2006		19:22:38		[Quicksilver created a scribble ]
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849	05/16/2006	19:22:39	19:22:43	I was thinking about that.
	05/16/2006		19:22:44		[Quicksilver created a scribble ]
850	05/16/2006	19:22:45	19:22:47	But I'km not sure
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851	05/16/2006	19:23:00	19:23:03		I think it's square numbers
852	05/16/2006	19:23:00	19:23:04	bwang what do you think?
	05/16/2006	19:23:16	19:23:17	[Aznx has fully erased the chat message]
853	05/16/2006	19:23:17	19:23:20	Swuare numbers?
854	05/16/2006	19:23:22	19:23:24	How though?
855	05/16/2006	19:23:19	19:23:24			i can't see any patterns
856	05/16/2006	19:23:25	19:23:29	The third step has 6 blocks
857	05/16/2006	19:23:36	19:23:38		It could have nine
858	05/16/2006	19:23:39	19:23:46		It depends how we are increasing
859	05/16/2006	19:23:46	19:24:01		If we want breakins in the pyramid at the front side or not
860	05/16/2006	19:23:58	19:24:08	Should we just go onto a different problem for now?
861	05/16/2006	19:24:14	19:24:20		This is todays problem isn't it?
862	05/16/2006	19:24:21	19:24:25		Discuss last week?
863	05/16/2006	19:24:45	19:24:50		And more problems I guess..
864	05/16/2006	19:24:54	19:24:55	Yeah
865	05/16/2006	19:24:58	19:25:05	WE can come back to this on Thursday
	05/16/2006		19:25:06			[bwang8 moved some object/s ]
866	05/16/2006	19:25:12	19:25:20	And perhaps expans on it even more
	05/16/2006		19:25:21			[bwang8 moved some object/s ]
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867	05/16/2006	19:25:59	19:26:08	This was our formula for this problem last time correct?							[1] Reference to whiteboard (whiteboardDoc)
	05/16/2006	19:26:08	19:26:10		[Quicksilver has fully erased the chat message]
868	05/16/2006	19:26:13	19:26:13			yeah
869	05/16/2006	19:26:12	19:26:13		Yes
870	05/16/2006	19:26:18	19:26:21	So how about we keep it
871	05/16/2006	19:26:28	19:26:29		Yes
872	05/16/2006	19:26:23	19:26:31	And move onto a different sequence?
	05/16/2006		19:26:34		[Quicksilver created a rectangle ]
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873	05/16/2006	19:26:43	19:26:47	How about squares?
874	05/16/2006	19:26:49	19:26:52	As you had mentioned?
875	05/16/2006		19:26:55
876	05/16/2006	19:26:53	19:26:56	bwang you have any ideas?
877	05/16/2006	19:26:56	19:27:01		These basically were squares
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878	05/16/2006	19:27:11	19:27:24			squares of what?
	05/16/2006		19:27:26	[Aznx moved some object/s ]
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	05/16/2006	19:27:37	19:27:38		[Quicksilver has fully erased the chat message]
879	05/16/2006	19:27:39	19:27:45		The cubes were basically squares
880	05/16/2006	19:27:45	19:27:52		we just broke apart the lines
	05/16/2006	19:27:59	19:28:05			[bwang8 has fully erased the chat message]
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881	05/16/2006	19:28:10	19:28:22	I'm sure we can come up with other sequences.
	05/16/2006	19:28:18	19:28:27		[Quicksilver has fully erased the chat message]
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	05/16/2006	19:28:31	19:28:31	[Aznx has fully erased the chat message]
882	05/16/2006	19:28:33	19:28:41		How did team C get its formula for the diamonds?
883	05/16/2006	19:28:42	19:28:46		How do we access that?
	05/16/2006	19:28:32	19:28:47	[Aznx has fully erased the chat message]
	05/16/2006	19:28:31	19:28:54			[bwang8 has fully erased the chat message]
884	05/16/2006	19:28:55	19:29:00	Well, let's look at their problem.
885	05/16/2006	19:29:00	19:29:05			open browser
	05/16/2006		19:29:06	[Aznx created a line ]
	05/16/2006		19:29:10	[Aznx created a line ]
	05/16/2006		19:29:12	[Aznx created a line ]
886	05/16/2006	19:29:07	19:29:13			and click on the link
887	05/16/2006	19:29:11	19:29:14		oh nevrmind
	05/16/2006		19:29:14	[Aznx created a line ]
888	05/16/2006	19:29:14	19:29:15		i got it
	05/16/2006	19:29:13	19:29:18			[bwang8 has fully erased the chat message]
889	05/16/2006	19:29:19	19:29:19			ok
	05/16/2006		19:29:21	[Aznx created a scribble ]
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	05/16/2006		19:29:28	[Aznx created a scribble ]
	05/16/2006		19:29:32	[Aznx created a scribble ]
890	05/16/2006	19:29:42	19:29:48	Wait, I think I messed up.
	05/16/2006		19:30:13	[Aznx created a scribble ]
	05/16/2006		19:30:19	[Aznx created a scribble ]
891	05/16/2006	19:30:11	19:30:19			their problem is indeed interesting
	05/16/2006		19:30:23	[Aznx created a scribble ]
	05/16/2006		19:30:26	[Aznx created a scribble ]
	05/16/2006		19:30:28	[Aznx created a scribble ]
892	05/16/2006	19:30:31	19:30:31		yes
	05/16/2006		19:30:31	[Aznx created a scribble ]
	05/16/2006		19:30:34	[Aznx created a scribble ]
	05/16/2006		19:30:38	[Aznx created a scribble ]
893	05/16/2006	19:30:41	19:30:44	lol, it looks horrible
	05/16/2006	19:30:39	19:30:45			[bwang8 has fully erased the chat message]
894	05/16/2006	19:30:47	19:30:48			lol
	05/16/2006		19:30:56	[Aznx created a scribble ]
	05/16/2006		19:30:56	[Aznx created a scribble ]
	05/16/2006		19:30:58	[Aznx created a scribble ]
895	05/16/2006	19:31:01	19:31:01	Ok
896	05/16/2006	19:31:18	19:31:23	How would you grow this pattern?
897	05/16/2006	19:31:28	19:31:32	Like a tesselation?
898	05/16/2006	19:31:40	19:31:40		No
899	05/16/2006	19:31:41	19:31:45		It doesn't tesselate
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900	05/16/2006	19:31:51	19:31:55	Actually it does
	05/16/2006		19:31:57			[bwang8 deleted some object/s ]
901	05/16/2006	19:31:57	19:31:58		How?
902	05/16/2006	19:32:02	19:32:03	Hold on
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903	05/16/2006	19:32:07	19:32:11		color the portion
	05/16/2006		19:32:13	[Aznx created a scribble ]
	05/16/2006		19:32:16	[Aznx created a scribble ]
	05/16/2006		19:32:18	[Aznx created a scribble ]
	05/16/2006		19:32:20	[Aznx created a scribble ]
	05/16/2006		19:32:35	[Aznx created a scribble ]
	05/16/2006		19:32:44	[Aznx created a scribble ]
904	05/16/2006	19:32:37	19:32:48		Besides, It grows in all directions
905	05/16/2006	19:32:54	19:32:56	But it fits
906	05/16/2006	19:32:58	19:33:05	You can do it on your own scratch piece of paper =P
907	05/16/2006	19:33:05	19:33:06			ok
908	05/16/2006	19:33:07	19:33:16			lets think about the equatin
909	05/16/2006	19:33:20	19:33:22			equation
910	05/16/2006	19:33:22	19:33:23		yes
911	05/16/2006	19:33:24	19:33:30			how did they derive it
	05/16/2006		19:33:31	START:TextEditing
912	05/16/2006	19:33:44	19:33:50	There's the formula
913	05/16/2006	19:33:50	19:33:57			(n^2+(n-1)^2)*2+n*3-2
914	05/16/2006	19:34:07	19:34:08			n^2+(n-1)^2
915	05/16/2006	19:34:01	19:34:18	The 3n has to do with the growing outer layer of the pattern I think.
916	05/16/2006	19:34:13	19:34:23		the sides and squares
917	05/16/2006	19:34:54	19:34:55	Right.
	05/16/2006	19:34:42	19:34:58		[Quicksilver has fully erased the chat message]
918	05/16/2006	19:35:08	19:35:09	There.
	05/16/2006	19:35:04	19:35:18		[Quicksilver has fully erased the chat message]
919	05/16/2006	19:35:26	19:35:36	I have an interesting way to look at this problem.
920	05/16/2006	19:35:41	19:35:42		Tell us
921	05/16/2006	19:35:38	19:35:45	Can you see how it fits inside a quare?
922	05/16/2006	19:35:45	19:35:45			yes
	05/16/2006	19:35:49	19:35:52			[bwang8 has fully erased the chat message]
923	05/16/2006	19:35:51	19:35:52		Yes
924	05/16/2006	19:35:52	19:35:53			oh
925	05/16/2006	19:35:55	19:35:55			yes
926	05/16/2006	19:35:53	19:36:01		You are sayingthe extra spaces...
927	05/16/2006	19:35:58	19:36:05	Also, do you see if you add up the missing areas
928	05/16/2006	19:36:10	19:36:11		Yes...
929	05/16/2006	19:36:12	19:36:18		they look similar to the original figures
930	05/16/2006	19:36:20	19:36:21		figure
931	05/16/2006	19:36:08	19:36:21	It is equivalent in size to the small circle in the pattern
	05/16/2006	19:36:21	19:36:24		[Quicksilver has fully erased the chat message]
	05/16/2006	19:36:16	19:36:27			[bwang8 has fully erased the chat message]
932	05/16/2006	19:36:31	19:36:33		Small circle?
933	05/16/2006	19:36:28	19:36:39	The only part you would be missing out are the four squares
934	05/16/2006	19:36:42	19:36:49	on the outer areas of this square
935	05/16/2006	19:36:54	19:37:00	Doi you guys get what I mean?
936	05/16/2006	19:37:06	19:37:07			yes
937	05/16/2006	19:36:58	19:37:08		Show what u mean on the witeboard
938	05/16/2006	19:37:09	19:37:11		i dont get it
939	05/16/2006	19:37:12	19:37:14	bwang you show him
940	05/16/2006	19:37:15	19:37:17	since you get it
	05/16/2006		19:37:19			[bwang8 created a rectangle ]
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	05/16/2006		19:37:26			[bwang8 created a rectangle ]
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	05/16/2006		19:37:37			[bwang8 created a rectangle ]
	05/16/2006		19:37:39			[bwang8 created a rectangle ]
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	05/16/2006		19:37:50			[bwang8 changed layout ]
	05/16/2006		19:37:53			[bwang8 changed layout ]
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	05/16/2006		19:37:57			[bwang8 changed layout ]
941	05/16/2006	19:38:02	19:38:18			we just have to find the whole square and minus the four corners
942	05/16/2006	19:38:13	19:38:19	The red areas
	05/16/2006	19:38:15	19:38:22		[Quicksilver has fully erased the chat message]
	05/16/2006	19:38:24	19:38:24		[Quicksilver has fully erased the chat message]
943	05/16/2006	19:38:26	19:38:27		no
944	05/16/2006	19:38:21	19:38:30	are eqivalent ot the middle square
945	05/16/2006		19:38:39								[1] Reference to whiteboard (whiteboardDoc)
946	05/16/2006	19:38:36	19:38:39	Does that make sense?
947	05/16/2006	19:38:43	19:38:45		no
948	05/16/2006	19:38:46	19:38:53		Because what about these						[1] Reference to whiteboard (whiteboardDoc)
949	05/16/2006	19:38:55	19:38:55	Ok
950	05/16/2006	19:38:56	19:38:58	lemme show you
	05/16/2006		19:39:02	END:TextEditing
	05/16/2006		19:39:02	[Aznx created a textbox ]
	05/16/2006		19:39:06	[Aznx created a scribble ]
	05/16/2006		19:39:10	[Aznx created a scribble ]
	05/16/2006		19:39:12	[Aznx created a scribble ]