From 7b87ea79bb39a7086704026b9078337186b62663 Mon Sep 17 00:00:00 2001 From: theresesmith Date: Sun, 18 Oct 2015 14:38:28 -0400 Subject: [PATCH] updated whole doc and chapter 3 --- ch3.tex | 9 +++++++-- chapter3StandAlone.pdf | Bin 0 -> 173529 bytes thesis2.pdf | Bin 2196589 -> 2203336 bytes 3 files changed, 7 insertions(+), 2 deletions(-) create mode 100644 chapter3StandAlone.pdf diff --git a/ch3.tex b/ch3.tex index 41b8015..601b835 100644 --- a/ch3.tex +++ b/ch3.tex @@ -388,12 +388,15 @@ The audio portion of all interviews was collected by electronic recorder and sub Excerpts of student transcripts were selected on the basis of being related to this question. A dimension of variation emerged from the data, such that the excerpts seemed readily organized along this dimension. \begin{table} - \begin{tabular}{|p{6cm}|p{9cm}|}\hline + \begin{tabular}{|p{7cm}|p{8.5cm}|}\hline Category & Representative\\\hline\hline some students do not see any point to proof& - They teach it to us because they were mathematicians and they like it.\\\hline + They teach it to us because they were mathematicians and they like it.\\ + + + & we didn't see ok why do i really have to know the proof of the theorem to do that right? We didn't see the point, because no one taught us the point, so, that's a very important part that was missing.\\\hline some students think that it satisfies the curriculum goals, to be able to reproduce a previously taught proof, or follow a procedure to generate a proof, without being personally convinced& I was able to get a full score, but I don't understand why a proof by induction is convincing\\\hline @@ -414,6 +417,8 @@ The audio portion of all interviews was collected by electronic recorder and sub & I know that recursion has the same structure as proof by mathematical induction. \ldots If I had an algorithm with a recursive data structure like a tree, and I had to prove something like termination about it, I'm not sure what approach I would use, it would depend.\\\hline + + Some students see that they could employ proof to explore whether an algorithm can be expected to solve a problem in a given context that includes bounds upon resources that are available for consumption. & mostly design the algorithm first, we had some expectation of what that complexity results would be and then we try to find an approach to prove. \end{tabular} \end{table} diff --git a/chapter3StandAlone.pdf b/chapter3StandAlone.pdf new file mode 100644 index 0000000000000000000000000000000000000000..02a8fa5a2f02ac2c227346a279b28b219c7fee22 GIT binary patch literal 173529 zcmce-Q;;PKv;|nUZQD3y+v>7y+g-NZ#V*^nZFJeT?dh2J{_c% z8{~?j;`Gc6Y%t`re}-0ISc#a3?2W95czIzMWlinOT`Y(=+1ZHx=Ye4qx3qCFbs}OE zw=r}v6*V=sH!+3b=ZA52aWXZuh4EN(Rh6+{=S1p0RzHyhuA@o7ASYbEunPdkpvS@V zUU|xuG>$4Ivy!5zen00qP?XDRg%r6b>Urg4JRV~nOM2#bweP-u;;{dsISW2cPwtd` z3MD8)OS0>jbadteJ=>ic+?j7wAnkW@G8JyNz%Uh#2<@5vKwGV*YopXt*GwU; ztgI*5M!x7)@Eqzs&?(fW#>$T$S2~2FBce&W_&uB@)lQglZr`O-7w7vVfq`Wo@2Dv@ z%qHZQ^QS-p)Hvl{SQM)BHmWQ=*R@=CgI?1^Z&b2VKGK#VK8TWGymIYMk~hD{*S+Wa zVd;3^&hN4=GapS;X~KlmL@n*M?HY4YsD*;pshrHZj(?iYHu6+8Zag+eNw-0{M$50V zgx0xzmu=xCM+0=3BbH3&v9IAEsj^Nj#;SKX7Zo*2@`c^f?+PI34koRyWJ>PTIr^If 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