Ma the ma tic a l T hinking thro ug h a Sta tistic a l L e ns, - - PDF document

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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?

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My Go a ls fo r yo u to da y

T

• e xpe r

ie nc e statistic al thinking.

T

• c o mmunic a te yo ur thinking , a nd unde rsta nd

the thinking o f o the rs.

T

• 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

• kno w whe re to e xplo re mo re o f this to pic .

T

• 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

• de fe r to my pe rspe c tive . T

his is disc o urse , no t mo no lo g ue .

T

• re ma in pa ssive , po lite , o r
• b e die nt.

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NCT M HSSI Surve y http:/ / bit.ly/ NCT M_HSSI2016 I no tic e / I wo nde r / I suspe c t…

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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

the te ac he rs tha t c a n b e a nswe re d with T HI S da ta se t.

• 2. Visua l displa y

tha t will he lp yo u a nswe r yo ur q ue stio n.

• 3. Answe r yo ur

q ue stio n, with e vide nc e fro m yo ur displa y in # 2.

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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

• ups

Visua l displa ys: K e e p it simple

0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Se nio r F re shma n Ag re e Disa g re e

http:/ / loc k5stat.c om/ statke y/ inde x.html

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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

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Gro up T a sk: Mini I nve stig a tio n

• 1. Que stions about

the te ac he r s that c an be answe r e d with T HIS data se t.

• 2. Visual display

that will he lp you answe r your que stion.

• 3. Answe r

your que stion, with e vide nc e fr

• m your

display in #2.

GAL L E R Y WAL K

I

like ___ b e c a use ___

I

ha ve a q ue stio n a b o ut …

I

wo nde r if …

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T HI NK I NG ABOUT OUR T HI NK I NG

• Wha t wa s diffic ult?
• Wha t did yo u like in
• the r’ s wo rk?
• 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

T

he mo de l (sig na l) is the fo c us.

Co nte xt is a b stra c te d a wa y.

Ab stra c tio n e le vate d

Pro b a b ility mo de ls a c c e pte d.

P(thre e o f fo ur fair c o ins land H)

Sta tistic s

• Unde r

standing var iation (noise ) is c r uc ial.

Co nte xt is c ruc ia l. Co nte xt is va lue d.

“All mo de ls are wro ng, but so me are use ful”

Pro b a b ility use d to te st c la ims.

Are the se fo ur c o ins far?

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Do ing Sta tistic s me a ns…

1.

F

• r

mulate que stions tha t da ta c a n a nswe r

2.

De sign / e mploy a plan to c o lle c t da ta

3.

Analyze data with g ra phic a l / nume ric a l

me tho ds

4.

Inte r pr e t r e sults, re spo nd to yo ur q ue stio n

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

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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

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http:/ / bit.ly/ F e e dbac kNCT M Yo ur F e e db a c k: T ha nk Yo u!