Dataset1/D1T2SS
From Jsarmi
Contents |
Group Trajectory
mi and bb come to all sessions, most stable team (dyad + audience?) In session 3, mi and bb talk about "personal" things so it is obvious they know each other outside the chat, qwer participates less? qwer does not return for the last session
Session I
The team produces the following set of 5 questions recorded in a textbox on the whiteboard:
- (C/W) What is the shortest way to get from A to B? (lv)
- (C/W) What is the longest way? (qw)
- What is the straight distance between A and B? (lv)
- What is the measure of angle B? (qw)
- How many ways are there to get from A to B in rectangle ABCD? (mi)
At the beginning mi is the least active, but asks a clarification question to qwer (about overlap) and corrects a value in a proposed solution for the straight distance (*52; *2 not 4). When they get to the fourth question (around posting 200) mi gets much more involved (we can use tan, sin or cos). Lv and qw state that they have not taken trigonometry classes (only algebra) but mi and bb seem very comfortable with it, and bb takes on the development of that approach. Lv attempts to participate without much success. Mi posts the fifth question to which Bb responds with a candidate answer (56) and an explanation of the method used to compute it (8 choose 5). Lv asks for a clarification on what X choose Y means and bb explains (the formula to find the number of ways in an n by m rectangle like this is (n+m-2) choose (m-1)). The group does not object to that being the answer (although bob explains that it works "assuming you can only go right and down") so they see if there are more questions but time is up so the facilitator engages them in the final conversation about the session.
Session II
Session II starts with a lot of socializing, people joining in and leaving. Then the facilitator initiates this sequence:
94 Moderator_G: Remember what you were doing Tuesday?
95 mathisfun: sorta
96 qwer: Yes.
97 Moderator_G: What?
98 mathisfun: i'm pretty sure
99 qwer: There were two points on a grid in which one could only travel
on the lines and we made and answerd questions about it.
100 Moderator_G: Right. There were several groups like yours and they each came up
with several ideas about this grid world
101 Moderator_G: I listed some of their questions ...
102 Moderator_G: ... and also some questions that these group questions raised
for the moderators
Then a textbox gets posted with 9 questions, 6 from "the groups" and 3 more from the moderators. They start with question 7. Qw proposes a formula, Mi tests it with two points and finds that it works. Bob interjects that the points Mi chose are not the same as last time (bob123: wasn't it 4 and 6 yesterday?) However before the group responds to Bobs posting, Marisol, a new participant, proposes a formula (for 7, the shortest way is the square root of [(x2-x1)**2 + (y2-y1)**2]) to which Bob disagrees (but that wouldn't be along the grid) as well as others. Then, since question 7 seems done, they move on to question 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):
144 mathisfun: letz start working on number 8 145 bob123: we already did that yesterday 146 qwer, 20:24 (12.05): we did? 147 mathisfun: but we did it so that there was only right and down
Group composition: Stable
Session 1: mi bb qw lv Session 2: mi bb qw mr(L) Session 3: mi bb qw [ho] Session 4: mi bb (L) Late, little participation after being corrected after joining, some postings towards the end [ ] zero participation
Grid-World vs. Diagonals
Session 1: define shortest way (grid) and straight distance (diagonal), work on grid mostly, high engagement! Session 2: continue work on number of paths, move to 3D grid (some of it does not follow rules but is new problem) Session 3: continue work on number of paths, continue work on 3D-cylinder grid Session 4: 3D grid and other variations
