Dataset1/D1T1S2n
From Jsarmi
< Dataset1
Team 1, Session 2: Notes
Sense of Team-newcomer/oldtimers and WE
36 rweisbac, 19:48 (12.05): Sorry I'm Richard too Welcome (*NOTICE IN S3 HOW HE WELCOMES NEWCOMER)
72 moderatorS, 20:01 (12.05): some of the others from last time may join us, but why don't I make sure Meet knows what we're doing.
76 moderatorS, 20:03 (12.05): so, Meet, the general idea is that we give you a simple environment to explore
and invent math questions that you then try to answer.
77 moderatorS, 20:03 (12.05): We don't grade you or judge you.
78 moderatorS, 20:04 (12.05): WE just want to see if groups can have fun online doing math with our support.
79 moderatorS, 20:04 (12.05): Rweisbac, do you want to add something?
Community (generators of ideas = other groups)
97 moderatorS, 20:08 (12.05): Let me share some of the questions that other groups came up with. 110 rweisbac, 20:10 (12.05): These are out questions 111 rweisbac, 20:10 (12.05): I mean our
Continuity: up to the team
109 meet_the_fangs, 20:10 (12.05): so we answer them? 112 moderatorS, 20:10 (12.05): you can or you can invent new questions 119 moderatorS, 20:12 (12.05): invent new questions or try to answer questions you already have.
Oldtimer spokesperson to decide which perspective
156 moderatorS, 20:17 (12.05): Keep in mind that for the "people" of this world, they don't have the same experience you do.
They think about everything in terms of the lines of the grid.
157 moderatorS, 20:18 (12.05): they can't draw lines except along the grid.
158 meet_the_fangs, 20:19 (12.05): oops
159 rweisbac, 20:20 (12.05): so this is a cartesian plaine. That line is the hypotenuse of a right triangle point a
is at (-4,4) and point b is at (3,-4)
160 meet_the_fangs, 20:20 (12.05): okay
161 meet_the_fangs, 20:20 (12.05): now we hafta adjust our grid....
162 meet_the_fangs, 20:21 (12.05): okay so...
163 rweisbac, 20:21 (12.05): We can find the distance between the two points
164 meet_the_fangs, 20:21 (12.05): diagonally
165 meet_the_fangs, 20:21 (12.05): or on the line?
166 rweisbac, 20:21 (12.05): Diagiaonally
167 meet_the_fangs, 20:21 (12.05): okay
Stuck, same "activity" or different
242 rweisbac, 20:38 (12.05): were stuck 243 meet_the_fangs, 20:38 (12.05): wanna do a different problem? 244 rweisbac, 20:38 (12.05): ok 245 meet_the_fangs, 20:38 (12.05): erase everything? 246 rweisbac, 20:39 (12.05): NO 247 meet_the_fangs, 20:39 (12.05): lol okay 248 rweisbac, 20:39 (12.05): well keep it it might be useful 249 meet_the_fangs, 20:39 (12.05): i copied another grid 250 meet_the_fangs, 20:39 (12.05): where do we put it? 251 rweisbac, 20:40 (12.05): no keep it wee need the settings that we already have and it won't get in the way
Counting vs. Formula/Pattern? I am not good at Formula/Pattern, but maybe doing counting will get us closer?
292 meet_the_fangs, 20:50 (12.05): imma make the line AB a different color 293 rweisbac, 20:50 (12.05): It is not efficient to just sit there and count 294 meet_the_fangs, 20:50 (12.05): true 295 meet_the_fangs, 20:50 (12.05): well... ... 303 meet_the_fangs, 20:52 (12.05): i have an organized way of counting 304 meet_the_fangs, 20:52 (12.05): but that's not going ot get anywhre FAST 305 rweisbac, 20:52 (12.05): ok 306 meet_the_fangs, 20:52 (12.05): oh wait nevermind 307 meet_the_fangs, 20:52 (12.05): darn it 308 rweisbac, 20:52 (12.05): ok 309 meet_the_fangs, 20:52 (12.05): actually 310 meet_the_fangs, 20:52 (12.05): i do have anorganized way 311 meet_the_fangs, 20:52 (12.05): ignore the top half 312 rweisbac, 20:53 (12.05): great lets see it!!! 313 meet_the_fangs, 20:53 (12.05): cuz we're going to x2 our results on the bottom half ... 317 meet_the_fangs, 20:53 (12.05): then, we can have 5 more paths of the same pattern 318 rweisbac, 20:53 (12.05): ok 319 meet_the_fangs, 20:53 (12.05): etc. 320 meet_the_fangs, 20:53 (12.05): and then... 321 meet_the_fangs, 20:54 (12.05): oh 322 rweisbac, 20:54 (12.05): what 323 meet_the_fangs, 20:54 (12.05): i have an algebraic way to od this 324 meet_the_fangs, 20:54 (12.05): i just thought of it right now 325 meet_the_fangs, 20:54 (12.05): each "step" 326 rweisbac, 20:54 (12.05): YAAAAY algebra 327 meet_the_fangs, 20:54 (12.05): has a max of 3 places to travel 328 meet_the_fangs, 20:54 (12.05): this is like a permutation
Identity -> Managing Participation
301 meet_the_fangs, 20:51 (12.05): im not good at this stuff sorry 302 rweisbac, 20:51 (12.05): Nether am I
Class vs. VMT spaces
329 rweisbac, 20:55 (12.05): Were are just going over this in class
Once a shared perspective, coordination of action (parallel or together)
358 meet_the_fangs, 20:58 (12.05): we can both branch off together
Projecting! Giving Up
363 meet_the_fangs, 20:59 (12.05): oh... this is gonna get really messy 364 rweisbac, 20:59 (12.05): right 365 meet_the_fangs, 20:59 (12.05): maybe not actually 366 rweisbac, 20:59 (12.05): it is it is @: Message 363: To whole message 367 meet_the_fangs, 20:59 (12.05): :-/ 368 meet_the_fangs, 20:59 (12.05): hmm.. 369 meet_the_fangs, 20:59 (12.05): got any other ideas? 370 rweisbac, 21:00 (12.05): nope 371 meet_the_fangs, 21:00 (12.05): im eating dinner soon 372 meet_the_fangs, 21:00 (12.05): when does this end?
EXTRA
moderatorS 5/12/05 8:02:14 PM EDT: Meet, notice the link I made to rweisbac's message. I double clicked on it before
sending my message.
moderatorS 5/12/05 8:03:46 PM EDT: so, Meet, the general idea is that we give you a simple environment
to explore and invent math questions that you then try to answer.
moderatorS 5/12/05 8:03:56 PM EDT: We don't grade you or judge you.
moderatorS 5/12/05 8:04:18 PM EDT: WE just want to see if groups can have fun online doing math with our support.
moderatorS 5/12/05 8:04:30 PM EDT: Rweisbac, do you want to add something?
meet_the_fangs 5/12/05 8:07:37 PM EDT: oh ic
Jason joins the room 5/12/05 8:07:56 PM EDT
moderatorS 5/12/05 8:08:00 PM EDT: You might have to invent new definitions of math objects you are used to.
moderatorS 5/12/05 8:08:16 PM EDT: Let me share some of the questions that other groups came up with.
moderatorS 5/12/05 8:08:48 PM EDT: do you see the list I just posted?
rweisbac 5/12/05 8:08:59 PM EDT: uhh no
meet_the_fangs 5/12/05 8:09:03 PM EDT: no
meet_the_fangs 5/12/05 8:09:08 PM EDT: it says the double click to edit thingy
moderatorS 5/12/05 8:09:11 PM EDT: on the board.
moderatorS 5/12/05 8:09:18 PM EDT: Maybe it hasn't come through yet?
meet_the_fangs 5/12/05 8:09:27 PM EDT: probably
rweisbac 5/12/05 8:09:35 PM EDT: most likley
moderatorS 5/12/05 8:09:41 PM EDT: I'll post them in here as messages also. Hang on.
moderatorS 5/12/05 8:09:49 PM EDT: Questions:
1. What is the shortest path along the grid between the two points?
2. How many possible routes are there from point A to point B?
3. What is the maximum distance from point A to B if you can only travel on each POINT once?
4. How many ways are there to get from A to B in rectangle ABCD?
5. Make a right triangle with AB as the hypotenuse. What is the area of the circumscribed circle?
6. Can you go off the edge and come back somewhere else?
Questions that your work made the moderators think of:
7. What is the shortest path along the grid between any two points A(x1, y1), B(x2, y2)?
8. How many shortest paths are there from A to B and how does this vary with changes in the positioning of A relative to B?
9. Suppose the right and left edges of the grid are connected. How does that change the distances between points?
p M
meet_the_fangs 5/12/05 8:10:14 PM EDT: okay
meet_the_fangs 5/12/05 8:10:18 PM EDT: so we answer them?
rweisbac 5/12/05 8:10:26 PM EDT: These are out questions
rweisbac 5/12/05 8:10:32 PM EDT: I mean our
moderatorS 5/12/05 8:10:36 PM EDT: you can or you can invent new questions
p M M M M
moderatorS 5/12/05 8:10:42 PM EDT: and answer those
p M M M M M
rweisbac 5/12/05 8:10:56 PM EDT: Lets draw a cartesian plane
rweisbac 5/12/05 8:11:52 PM EDT: So what do we do moderatorS 5/12/05 8:12:14 PM EDT: invent new questions or try to answer questions you already have. rweisbac 5/12/05 8:12:28 PM EDT: With out the points meet_the_fangs 5/12/05 8:12:29 PM EDT: but we dont have the points moderatorS 5/12/05 8:12:46 PM EDT: right. you can make points if you want. meet_the_fangs 5/12/05 8:12:52 PM EDT: ok rweisbac 5/12/05 8:12:56 PM EDT: woah Jason 5/12/05 8:13:01 PM EDT: as i wait for my room's participants to join, may i participate in this room for a while?
Keep in mind the people of this world
moderatorS 5/12/05 8:17:55 PM EDT: Keep in mind that for the "people" of this world, they don't have the same experience you do.
They think about everything in terms of the lines of the grid.
moderatorS 5/12/05 8:18:25 PM EDT: they can't draw lines except along the grid.
meet_the_fangs 5/12/05 8:19:09 PM EDT: oops
rweisbac 5/12/05 8:19:55 PM EDT: so this is a cartesian plaine. That line is the hypotenuse of a right triangle point a
is at (-4,4) and point b is at (3,-4)
p M M M M (Draws staircase)
meet_the_fangs 5/12/05 8:20:20 PM EDT: okay
p M
meet_the_fangs 5/12/05 8:20:26 PM EDT: now we hafta adjust our grid....
p M M M M M M M M M (Deletes staircase)
meet_the_fangs 5/12/05 8:21:04 PM EDT: okay so...
rweisbac 5/12/05 8:21:24 PM EDT: We can find the distance between the two points
meet_the_fangs 5/12/05 8:21:31 PM EDT: diagonally
meet_the_fangs 5/12/05 8:21:33 PM EDT: or on the line?
rweisbac 5/12/05 8:21:43 PM EDT: Diagiaonally
meet_the_fangs 5/12/05 8:21:48 PM EDT: okay
After calculating diagonal distance using pythagoras
meet_the_fangs 5/12/05 8:29:03 PM EDT: we're going to make the circumscribed circle? rweisbac 5/12/05 8:29:20 PM EDT: only if u know how to ... rweisbac 5/12/05 8:38:11 PM EDT: were stuck meet_the_fangs 5/12/05 8:38:39 PM EDT: wanna do a different problem? meet_the_fangs 5/12/05 8:42:03 PM EDT: which problem? meet_the_fangs 5/12/05 8:42:09 PM EDT: or we can make up one? rweisbac 5/12/05 8:42:16 PM EDT: How about 1 meet_the_fangs 5/12/05 8:42:21 PM EDT: sure rweisbac 5/12/05 8:42:30 PM EDT: ok lets get to it meet_the_fangs 5/12/05 8:42:41 PM EDT: okay... meet_the_fangs 5/12/05 8:42:48 PM EDT: so... meet_the_fangs 5/12/05 8:42:53 PM EDT: ill put the grid under the old one rweisbac 5/12/05 8:43:37 PM EDT: so that is a path from A to B meet_the_fangs 5/12/05 8:43:55 PM EDT: okay meet_the_fangs 5/12/05 8:44:21 PM EDT: kk so A's at the very left meet_the_fangs 5/12/05 8:44:25 PM EDT: and B's at the very right? rweisbac 5/12/05 8:44:27 PM EDT: yes meet_the_fangs 5/12/05 8:44:40 PM EDT: wel, that is the shortest distance rweisbac 5/12/05 8:44:57 PM EDT: ok on to question 2 moderatorS 5/12/05 8:45:03 PM EDT: rweisbac, I don't see your line.
