7/15/2016 Ma the ma tic a l T hinking thro ug h a Sta tistic a l L e ns, Pa rt 1: E xplo ring Da ta WI L L I AM T HI L L NCT M HI GH SCHOOL SUMME R I NST I T UT E 2016 AT L ANT A, GE ORGI A We lc o me ! � I f yo u c a me with so me b o dy yo u kno w, find a ne w se a t. Me e t so me b o dy ne w! � I ntro duc e yo urse lf to yo ur ne w c o lle a g ue (s). � I ntro duc e a nd sha re : What ar e you hoping to le ar n today? 1
7/15/2016 My Go a ls fo r yo u to da y � T o e xpe r ie nc e statistic al thinking. � T o c o mmunic a te yo ur thinking , a nd unde rsta nd the thinking o f o the rs. � T o think ho w this diffe rs fro m the thinking tha t mig ht ha ppe n in a “typic a l ma th c la ss.” � T o kno w whe re to e xplo re mo re o f this to pic . � T o a c tiva te yo ur c urio sity a nd inte re st in sta tistic a l thinking . No t my Go a ls fo r yo u � T e ll yo u ho w to te a c h yo ur kids in yo ur c la ss. � T o de fe r to my pe rspe c tive . T his is disc o urse , no t mo no lo g ue . � T o re ma in pa ssive , po lite , o r o b e die nt. 2
7/15/2016 NCT M HSSI Surve y http:/ / bit.ly/ NCT M_HSSI2016 I no tic e / I wo nde r / I suspe c t… 3
7/15/2016 Wo rk with a pa rtne r… Gro up T a sk: Mini I nve stig a tio n 1. Que stio n abo ut 3. Answe r yo ur 2. Visua l displa y the te ac he rs tha t q ue stio n, with tha t will he lp yo u c a n b e a nswe re d e vide nc e fro m yo ur a nswe r yo ur with T HI S da ta se t. q ue stio n. displa y in # 2. 4
7/15/2016 I de a s fo r q ue stio ns • Compar e e ntir e distr ibutions • Is the r e a r e lationship be twe e n ___ and ___? • Compar e two gr oups Visua l displa ys: K e e p it simple 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% Se nio r F re shma n Ag re e Disa g re e http:/ / loc k5stat.c om/ statke y/ inde x.html 5
7/15/2016 Wha t is this a b o ut? Go to the spre a dshe e t o f re sults � http:/ / bit.ly/ NCT M_HSSIr e sults 6
7/15/2016 Gro up T a sk: Mini I nve stig a tio n 1. Que stions about 3. Answe r your 2. Visual display the te ac he r s that que stion, with that will he lp you c an be answe r e d e vide nc e fr om your answe r your with T HIS data se t. display in #2. que stion. GAL L E R Y � I like ___ b e c a use ___ WAL K � I ha ve a q ue stio n a b o ut … � I wo nde r if … 7
7/15/2016 • Wha t wa s diffic ult? T HI NK I NG ABOUT • Wha t did yo u like in OUR o the r’ s wo rk? T HI NK I NG • Any o b se rva tio ns o r surprise s? Sta tistic a l vs. Ma the ma tic a l T hinking GAI S E Re po rt, AS A 2006 Ma the ma tic s Sta tistic s � Unde r standing var iation (noise ) is � T he mo de l (sig na l) is the fo c us. c r uc ial. � Co nte xt is a b stra c te d a wa y. � Co nte xt is c ruc ia l. Co nte xt is va lue d. Ab stra c tio n e le vate d “All mo de ls are wro ng, but so me are use ful” � Pro b a b ility mo de ls a c c e pte d. � Pro b a b ility use d to te st c la ims. P(thre e o f fo ur fair c o ins land H) Are the se fo ur c o ins far? 8
7/15/2016 Do ing Sta tistic s me a ns… mulate que stions tha t da ta c a n a nswe r F or 1. De sign / e mploy a plan to c o lle c t da ta 2. Analyze data with g ra phic a l / nume ric a l 3. me tho ds e sults, re spo nd to yo ur q ue stio n Inte r pr e t r 4. Unde rsta nding Variability & Co nte xt Whe n did yo u use Statistic al Pr ac tic e s? � 1 � 2 � 3 � 4 � 5 � 6 � 7 � 8 9
7/15/2016 Ano the r T a sk: Our Ba c kpa c k Da ta Mo re Re so urc e s � GAI SE Re po rt � Sta tistic a l E duc a tio n o f T e a c he rs � http:/ / ro ug hlyno rma l.c o m (c o ming so o n) � My Pre se nta tio n a nd ha ndo ut � L e sso ns g e tting a t sta tistic a l thinking � Sta tK e y : http:/ / loc k5stat.c om/ statke y/ inde x.html � F a tho m: https:/ / fathom.c onc or d.or g 10
7/15/2016 http:/ / bit.ly/ F e e dbac kNCT M Yo ur F e e db a c k: T ha nk Yo u! 11
Recommend
More recommend
