From 8aa82d4fc0ca5c5b85d7f28bc6742aab26c3b3dc Mon Sep 17 00:00:00 2001 From: theresesmith Date: Wed, 23 Sep 2015 16:49:43 -0400 Subject: [PATCH] a little more Ben-Ari, connecting social constructivism with the teacher needing to know about student conceptualizations --- ch2.tex | 7 ++++++- literature.bib | 3 ++- thesis2.pdf | Bin 2182661 -> 2183074 bytes 3 files changed, 8 insertions(+), 2 deletions(-) diff --git a/ch2.tex b/ch2.tex index 31b291a..fcfef8b 100644 --- a/ch2.tex +++ b/ch2.tex @@ -1,6 +1,8 @@ \chapter{Research Perspective and Epistemological Framework} -The work of others has contributed to the research perspective and the epistemological framework\footnote{In the psychological sense, rather than that of Brouwer}. +This work is a phenomenographic study, adopting the epistemological framework of social constructivism. + +The work of others has contributed to both the research perspective and the epistemological framework\footnote{In the psychological sense, rather than that of Brouwer}. Marton developed the phenomenographic research perspective, which is broadly applicable to education. @@ -8,6 +10,9 @@ Many researchers have contributed to the literature on educating students in the Significant work has been done on teaching computer science students about mathematical proof. +By choosing this particular version of social constructivism, we inherit the situation described by Ben-Ari\cite{ben1998constructivism}: +"The task of the teacher is significantly more difficult than in the classical paradigm, because the guidance must be based on, the understanding of each student's currently existing cognitive structures. " + diff --git a/literature.bib b/literature.bib index aa61542..2594965 100644 --- a/literature.bib +++ b/literature.bib @@ -957,7 +957,8 @@ publisher={Elsevier} number={3-4}, pages={327--342}, year={1994}, - publisher={Springer} + publisher={Springer}, + annote={looks really good, is not free} } @article{selden1995unpacking, title={Unpacking the logic of mathematical statements}, diff --git a/thesis2.pdf b/thesis2.pdf index f6e6a9a6b995f70a018b85dcd3eabd52d65e106b..c5daae5acb16638a8224483c3eb011e7a093f1ca 100644 GIT binary patch delta 23265 zcmYhiV}m7H+pAl)ZQHhO+qUglW|wW-wr#7+w#`0kKkt|GBSw-tS4LP)7;sU37;pnG zGKl6(GCy(?m>He_dHP@`2x>C~ii#BoH(UB5B`hsKT{eD;1F7#z6N!IPXf}E!=CT%- zOdJ->3U!aew}AXF1&J(-w0YydK32TH296#f1aPz2tb2Sp&7jkp`PF>>cWu>s0#Ku7 zlenu;Z9A-qv>L1IjxI*N9{Ihzm)uzGyJ+&MlP|-sj!rvlH>-!q4-(xD`jOXC7XNBs zGqKMAmPSG6!9N7#C99?Y1XA6)lp>}(%c~G>`C+$)T!M+$;VydCa>Y~RVZ~coACWn9 z)Zlh?a%M{?HO!t$m4cf^pZhws*N!wA9`U#m`Ld|oc#9l`dtNSnLVHOW!n9xOTC-Q$ zd-vRnfUFRF#1eQ((Ye#CYaKIc!-P9(&CMJ@KDY^>vTff!FX?&N2UH_BHcv`8$NG7Y z9xDBXl3+({xVozMWyb`gbgKDEbV44 zV@}Q(opu(edyd?hFKD7Ue{F<|clGh4g0u_nM+S+TS`9PSsw;F{*2o6Ib3?W9=4-7rz znYp?{V&E_d8)xjf0AF<^Uw-CLwYNc~ad&eOL;kD1`o|8j_$Mi*skjN$Yd~~;RhZ!x z3Z(@CA}NH(drh&J7+fQG&xp+!Jth%3bGc^(HY(??2Afy(_KZip29=!WW-|$}#C74c z{cR>G1kjKBr+SOu)=I@9!?NisLZIMOumuIdI@5ELCd_+i&6L~TXlaBa3^96BI<&xP z2_xA_1+6Fw;Snm`6qFH2n}oI-F7CLScO?`b1JkzP$z-z*54L&B*DAD^>HHMY{3ass zjnEE}@I!7Oz5;&JkAf~MG${^nzcu(41r-(p?fX4Rfx9SNK2CCs|HMIp)fzYveE#ux zu_q6l$&CD$C(_arin^Ms@rKBKB@Dctk6CLHzjzH6o7`iKTLAg${lfTz$XOH4s#)Q6 zTC#7hFGM$}uD^%Z)nr8PXsf-PON-k^?M0uoXlNRo%f#5cDYzKx?P0~$h;H#r@q)mS z1{4+Wi6UH%u|$@#nVXFPhyG7v@PHfc>~30=PG_=|ig-M0ng(5^PwZaM+*8Ck-5G%p zHQB%)Exl0|n>O9I3j!A40}Ve?R~bQHSPo$yjUk0xAi*e%@MolT^ISc8%Hr#amC?pr zlY4_KV)(%6G&=$zd-}BD@YOW}A(K^I)t;9uRFgEhYSNdOect7?8h4nk@{%zZ_I6r> z4QvVPTP-hSWh z#j4j{sWES->jk9vyPKBDvYWa887F;Kee=`2?RsR{K{@+Yem(N`J(}flwBbpZB>IVL zmz{cPvp*;uprp7P2EIIF9oii|E^`zmV_gb6jLD$Mt2E$R|-VYHu9#U4v-Rr{^;7mGNeTe@OD~AnRyp^txSOv z!zB|^k$o+SfLVxFiOlP^;?v%p29BDlBWmD65e~s2k(^F}`3i>}9FX8Nis~{(XvBWk zy|qcklHa#HlJWJk=2j~i(D=XytCX~OC8)sFVc-DDVG>p{6=Q4Ot*I+kM0i|Dv0E3= zTy3j@F3n`V(9N$vg=v>{_zO9%sr5iym|;oA4_kXId#)4swIC+JA|NfCN$*<5+!L~Z zT&)7poOmaD^%-jpbL@=VW6JC5-jKQ^|Okg^w5PPO`{FPUV1>iEtuq;# z8x=_Y1VDle4_ii%AKtQc!VPd44^cR|mw5vS@TYksKrb*s(LFiR(1fX3R`;Y88iv&J+Ii{WTS=Sey-8CCQZRjFDTCm;V?~Wkjf{Kmv1uzcr&QypLeIV3Z(~a!ryq?1V@@%Kd=S ziFoO8$PIK2p*sqrSnO`<~6!9xWqMMmS~ zNeKv0x3~LdjaeXd7-kqm;n`f9AVvVf1qfEKulOvTxhbXwP&HCoZ}xjy=*_2g)Kn;J zau#H`wWR~YG08Ul69-|EQ%c=L&2dCs4;YYd=wn`AP5kU_iKpAhWbEkgZo2-kos-2r zm%7^6n=EsuXRHrN_Zp)V0;d3!Ya9OHZ^Q;;XX$AdQqDd-u4&w@vzR0aWjVbD3ydwA3{=(c~w%od1!fC zV>4^Y@|?lra(bG&U!jJ9wnzcnA8@&>TECTzFJVNP!<>m&t)>`2KvZ%KQqBLco>W6eF7lfA^M`pa{td6 zoV&9tr)#{+2_9JGI8CuD-D;ZXc60MQwDky%Xm-$z-RY)XJZ(Jk zgQ@la0zWTEQ%yU>v7$*lWRuL*VpBG&w}{eM;GcWaTY%m9zS|=fEW53qVQ&Je_JtUs zCoOGkwt|so%S5Ixstg9c3%7V!iuyJJAI{CrJUF;G-v(;LUo53ibiw8NRQd84yZ!JV zV60YP{(Uqqx5#8u^k~%HEQ=O$g(D-cAxD&z{Y^0mV)R$>+4-`1%&exf&8@SH5?{z@ zJlhNg8-NMR#sM2DuamW$kIbVlz}FcE9F_4KafBZPlQd^c5$Og3qh#3=JLO(LV# zub8t`l29xW_g~@Fil3p8`m)h;3g?9@9p3U9>-rg%YxZ38uj_aOtXPj$c2a!M`q2*J z^5v=sqyuO&>w?eIyc;=7oeg6aB#M?dC(8z|3BWYX1l*G%7Wv=HzOe=pXuDv?Yfg{| zBE&~BI03!P!tO;a)#|h!A#xm+W>)@kETr2%L{qf54kLMZ)K97T7d*9zrgNA)MtO&~ zt$(LdqV53I z2zp%VASTTLT&`#;EGInK8?yhb*jXvOb)K!D!l57})EFK(FhL3~5{$XoGB$ur`CfS4 zhC;DOEEsXh7GW!OQX^ieNfzG`%bH^90RS?WQ>8LBpLAdy8NscsE*mJUuuztViCmqX znF#t}2MuSn+&RqpDwC)z(}|XF9qY|8E2kag8Ysgofk7ujyzxeycIepv(IzPhM8~~| z%yC+$nxSxtTOHY}PqbPgZ9fn-a)jv)-0_=oT+uugj9iqft_~#mi_MDe+Cp#&4!}+% zfrKeO^G_3o!6APjDLXx)DoskMQTf(Bsf5(Cn8|53nD<(YSQjoOGphDSOe$S`$YS#a}L0_-}A`XL*mm6(nLuTY-o@m3PZj?2l?xj=-ka4PI> zCL2w|CmUC%w2SDs=&F1?(Lra$kRbe`jTzz2+@rC4TQ|trwl=}dwzwtKe+DzJ@!{&K z+dea-lj&plxMRv?wt_&zE3Rl5uWSI>)Y0`6KtZ5rm?G<1ut5x6m9#yT0$2>on9*rt zq`c2E;&a@7d_#k>dYxf8B@$J7`+3!dhf z_H#uM&;r0EZJ5-=)~Q)$;tKdjh=zikymgREjY3oVtp26U_J_<~CS;M-u0ew?k7na=P_P}W;0CalLbi5w*ZvOW0 ztN1N@-5lZiI^IZSwn2AV0~b`l^?kE@HL*#n{y|Tm&9hfuBE7|D7et2n?k#Ivfc1`4 zpOl`^oJVlT#|aDZc_kfE%yF=&ro0t8WXLvA3v9&T|OS)Pn0ydi!Dc{lb+vNy`er+c4$s zJ?(`{(en!U@gPpjm}o?4h$C2%J?~ch#WHg6i+-BhQ&{NfDvs08!23f+5KTY}h7pLe ze%=}-f7A_l_fB&;y9w@h?6kD@mBsG*O?Q7;{-xawzOfJm@b(I`;p3!|QaCP%VqlX8 zw7TL3IbUEWSOoptqHEJIf$;~}xeX8E_LBj9>Fiy0JevH6T?>*7b-3uJ26K%O}Zl zt&Tv$&XD)U<8P*d??g+)4nGqMeKW19fyyPt$IH)sfgR;;=4%2Jm@pEU07$`;Ht)2h z;NH)@)7#HiQ6BoJi|+c#wXtCJ^la01oyC=3_qH8JbHvWIs7B3MK0!e5wEL!ABaLgC zj@oL|Zk3uK0ze+n@+9uwKX*9ECg;F{8D?$r4vQh@z6D&%RFsF>sV2-;OS+{7t26HxJ)b+9_))F6_Bur{pN_trIX z7YfzJ8lx+*^l&toTi~pon#uiYhMK74qc?|n)io8chnSYrQq{hB#5K`#ms!EGJV=^- zjEwFYutYM_hbWmySsjI1Ycn+2%`AgwMZYHIYksZsr&LuBOK+8SWQH<0*wTIBYs|!s z=Z%Cm6d;Hv-?n_y9;t_yN`pBQ&&dyz)!& zQ?yTxdx#q5XUQTB?Yq^`ITBxp_D2`Y*2l1&U=e=8M6gVo1l}ZB9G9)Tx z8IrwXA!W3Zq~XY7GIYq6VDkDNgxX!co?H$}db$!QfFp%iGnNS*si2xQ(v5DehD}rW zeNjwd&%E>=vOxXR4v98j#5qlkUL6Me8vyX$bR2mV>r=4yYpo*}J+M7SjbOf^f#Ws; 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