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INCREASING ENGAGEMENT IN  Y OUR MA THEMA TICS CLAS SROOM 1) PLEASE INTRODUCE Y OURSELF TO SOMEONE AND SIT IN PAIRS - CLOSE TO THE FRONT OF THE ROOM 2) FAMILIARIZE YOURSELF WITH THE HANDOUT REGARDING THE DESCRIPTIONS OF THE STRUCTURES AND T ALK ABOUT WHA T THEY LOOK LIKE IN A LESSON THANK YOU FOR SPENDING YOUR SATURDAY MORNING WITH US! Linds! R"#$%s"n & R"s'nn' W"(d$id

Engagement Math Training

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Page 1: Engagement Math Training

7/25/2019 Engagement Math Training

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INCREASING ENGAGEMENT IN YOUR MATHEMATICS CLASSROOM

1) PLEASE INTRODUCE YOURSELF TO SOMEONE AND

SIT IN PAIRS - CLOSE TO THE FRONT OF THE ROOM

2) FAMILIARIZE YOURSELF WITH THE HANDOUTREGARDING THE DESCRIPTIONS OF THESTRUCTURES AND TALK ABOUT WHAT THEY LOOKLIKE IN A LESSON

THANK YOU FOR SPENDING YOUR SATURDAY MORNING WITH US!

Linds! R"#$%s"n & R"s'nn' W"(d$id

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In%$"d*+%i"n

 THE NEED T$nds in ,'%,'%i+s +('ss$"",s E.'(*'%i"n ,!%s/,is+"n+0%i"ns

B$'ins%"$,in n% s%0s)

 THE GOAL Hi$ s%*dn% '+i.,n%

In+$'sin "*$ %'+in 3+%i.nssHOW4 T$"* n',n% 'nd i%s $('%i"n %" ' i

+*(%*$ 5"$ ('$nin 'nd 0('nnin %" s*00"$% i%

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C*(%*$ Si5%6

F"+*s "n s%*dn% ('$nin .s7 %'+$ #'.i"$s P('nnin s%' 'nd 8n +*%in (ss"ns N8 .'(*'%i"n s!s%, .s7 "(d .'(*'%i"n

s!s%,

When we make ourselves ino

!eer ea"hers# su$ens learn!eer# an$ hi%her rain%snaurall& 'ollow

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R,,#$6

I%9s '#"*% 8"$:in s,'$%$; n"%'$d$

N"% $in.n%in % 8(

C"(('#"$'%in

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N" "n s%$'%! is ' ,'i+ <6

I $e(en$s on how i is(lanne$ wihin he overallsru"ure o' he lesson# he"lassroom environmen an$

how i is e)e"ue$

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W'% is in%((+%*'( n',n%4

S%*dn% n',n% is % +n%$0i+ "5 %5$',8"$: 5"$ %'+in7 Wn s%*dn%s '$

n'd in ('$nin; %! '$ n"% ,$(! =#*s!;>

n"$ '$ %! "n(! ="n %'s:7> R'%$; %! '$in%((+%*'((! '+%i. in ('$nin i,0"$%'n% 'nd+'((nin +"n%n%7 T +$i%i+'( dis%in+%i"n#%8n ' +('ss$"", in 8i+ s%*dn%s '$

+",0(i'n% 'nd #*s!; 'nd "n in 8i+ %! '$n'd; is %'% in % ('%%$ s%*dn%s '$

d.("0in %i$ *nd$s%'ndin %$"* 8'%%! d"7 T'% is; %! '$ n'd in dis+*ssi"n;

d#'%; 'ns8$in =8'% i54> ?*s%i"ns;

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PREFACEUnd$(!in S*00"$%s %" Ens*$ Hi$ In%((+%*'(En',n%

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C*(%*$ 5"$ L'$nin +"n%7)

H"8 d" 3+%i. %'+$s s% % %"n 5"$%i$ +('ss$"", '% % #innin "5 % !'$4

H"8 d" 3+%i. %'+$s CONTINUE %" s%

% %"n THROUGHOUT % !'$4L%9s #$'ins%"$,6 8'% d" !"* d"4

8'% d" %'+$s !"* 'd,i$ d"4 8'% s"*(dn9% %'+$s d"4 d" n"n-.$#'( '%%$i#*%s (0

"$ *$%4

Rall& Ro!in1) T'+$ 0"ss '0$"#(, %" 8i+%$ '$ ,*(%i0(0"ssi#( $s0"nss7

2) T'+$ i.s%in: %i,7@) Tn; in 0'i$s;s%*dn%s %':s %*$nss%'%in 'nd wriin% ' (is% "5 $s0"nss "$

) D+id "n % %"0 2

%" s'$ 5$", !"*$%',

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C*(%*$ 5"$ L'$nin +"n%7)

*air San$+n+Share

1) A(( 0'i$s "5 s%*dn%s s%'nd 's ' %',7

2) T %'+$ +'((s "n ' s%'ndin s%*dn% 5$", % %',7

@) S(+%d s%*dn% s%'%s "n i%, 5$", % %',9s %"0 2 (is%7

) T "%$ s%*dn%s in %',s; i%$ 'dds % i%, %" % (is%; "$ i5i% is '($'d! (is%d; ++:s i% "37

) In %'% s', %',; % n% s%*dn% s'!s % n% i%, 5$", %%"027

) R0'% s%0s 2-7

) T',s si% 8n '(( %i$ i%,s '$ s'$d7 Wi( s'%d; %! 'dd'+ n8 i%, *sin s%0 7

Wn '(( %',s '$ s'%d; '(( i%,s '. #n s'$d 'nd % (is%is +",0(%7

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C*(%*$ 5"$ L'$nin +"n%7)

HIGH s%$*+%*$ is ndd6 8i( % %'+$ is 8"$:in "n #*i(din % +*(%*$

5"$ ('$nin7

'%-$is: s%*dn% 0"0*('%i"ns C('ss$"",s 8i% ' .$! i +*(%*$ 5"$ ('$nin

+'n =% #!> "n (ss s%$*+%*$

,u# i' su$ens see a wa& o -o( ou. he&will r&/

Why fght that battle?

 Just build it into the lesson plan.

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C*(%*$ 5"$ L'$nin +"n%7)

H"n"(*(* C",,*ni%! C"(( '%% Uni.$si%! "5 H'8'ii 8#si%

%%0//88827"n"(*(*7'8'ii7d*/5 '+d./*id#:/%'+%i0/%'+%i07

%,

Lin:

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 THE FOREWORD

P('nnin %" Ens*$ En',n% 8i% M"$ S*00"$%s

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P('nnin 8i% En',n% in Mind6

E3+%i. %'+in d"sn9% '00n ="n % !> E3+%i. %'+$s d"n9% s% "*% %" =*s% 8in i%>

 T! 8i(( '. '($'d! d.("0d ''d "5%i, 'n s%'#(isd =#' "5 %$i+:s> 'nd

s.$'( =#'+:-*0 s+n'$i"s> %" d$'8 *0"n7

Thus, they are never really“winging it”.

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P('nnin 8i% En',n% in Mind6

P*$0"s 'nd $(.'n+! "5 % (ss"n Us Essn%i'( *s%i"ns

s 'nd"*% 5"$ ',0(s)

M"$ in5"$,'%i"n +'n # 5"*nd in %is '$%i+(%%0//8887'*%n%i+d*+'%i"n7"$/'J#iid

's/'$%i+(7('ss"4'$%id@

Lin:

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P('n 5"$ % STUDENT PRODUCT FIRST

No downtime, keep the wheelsturning

=D"*#( P('n> 5$", T'+ Li: A C',0i"n; #!

D"* L,". Us ' T-+'$% On +"(*,n 5"$ 8'% % %'+$ 8i(( # d"in 'nd

"n +"(*,n 5"$ 8'% % s%*dn% 8i(( # d"in7 T$ nds %" # ' +"$$s0"ndin n%$! in %

s%*dn% +"(*,n 5"$ .$! n%$! in % %'+$+"(*,n7

Planning this way will soon "o# an stalish$

way o% thin&ing'

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P('nnin 8i% En',n% in Mind6

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P('nnin 8i% En',n% in Mind6

P('n 8'% 5"$,'%i. 'ssss,n% !"* 8i(( *s 'nd 8'% !"*'$ s0+i<+'((! ("":in 5"$

E3+%i. %'+$s :n"8 %'% ever&hin% nds %" #,"ni%"$d

M"ni%"$in +$'%s "00"$%*ni%is %" i. s%*dn%s 5d#'+: Fd#'+: is ' ,"%i.'%"$ 'nd +$'%s ' 5(in "5

in.s%,n% in % '+%i.i%!7 In.s%d s%*dn%s '$ n'd s%*dn%s7

ou !an"t give #eedba!k unless you aremonitoring

$also known as in%!lass #ormative assessment&

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P('nnin 8i% En',n% in Mind6

 'bove all, e(e!tive tea!hers knowthat engagement will not happen

unless there is already an

established high !ulture #or learning

-In%$insi+ ,"%i.'%i"n

-E%$insi+ ,"%i.'%i"n ADHD s%*dn%s nd %is)-Hi 0+%'%i"ns

-F"(("8-%$"*

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P('nnin 8i% En',n% in Mind6

Work smarter notharder)

P*% !"*$ n$! 8$ i% 8i(( $s*(% in' #i 0'!"3 

W"$: ,"$ % #innin "5 % !'$

s" !"* +'n *s% 0*% % <nisin%"*+s "n %ins %$"*"*% % !'$

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 Ti0s

0ee( a lesson (lan !in$er o %o wih &our"alen$ar 1shee (roe"ors# **T (rinous# e"23

0ee( -noes o sel'. 'or usin% i ne) &ear

Look a he !i% (i"ure o' he "urri"ulum %ui$e4

Look a he $e(h o' he san$ar$s an$ makenoes on he "urri"ulum %ui$e s%'% %s%s '$ #'sd"n F("$id' 'nd n'%i"n'( s%'nd'$ds/#n+,'$:s6 n"% %Hi((s#"$"* C"*n%! +*$$i+*(*, *ids # in5"$,d)

Use assessmen "rieria ha is eas& 'or &ourea"hin% s&le

Ask $e(armen hea$ or (rin"i(al 'or 55

Invesi%ae &our mah $e(armen6s invenor&

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 THE FOCUS

W'% d"s n',n% ("": (i:4

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E0$in+ i% 5"$ !"*$s(5 

We will analy*e three di(erentapproa!hes to a math worksheet  L%9s 8"$: 8i% ' %$'di%i"n'( $s"*$+ %'% is '.'i('#(

%" .$!"n6 % 8"$:s%7 T %$'in$ 8i(( ,"d( % =%'+$> Y"* 8i(( # % =s%*dn%s>

(Whil yo) a* th +st)$nt,- o)t o% th "o*n* o% yo)* y-

wat"h thy $yna#i" o% th oth* st)$nts an$ th *oo# ingn*al.

W 8i(( d-#$i5 '5%$8'$ds 5$", % 0$s0+%i. "5=% ! "n % 8'((>

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W"( C('ss &A

Ass*, % s%*dn%s '$ '($'d!5',i(i'$ 8i% % +"n+0% %is is n"% 'n

in%$"d*+%i"n)

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W"( C('ss &A D-B$i5)

W'% did !"* s4 W" 8's d"in ,"s% "5 % 8"$:4 W" 8's n"%4 W's %$ 5"$,'%i. 'ssss,n%4 W'% :ind "5 in5"$,'%i"n did % %'+$

% 5$", % 5"$,'%i. 'ssss,n%4 W'% :ind "5 5d#'+: did s%*dn%s

$+i.4 H"8 ,'n! s%*dn%s4

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W"$: 8i% !"*$ $"*06

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C",0'$ & R0'i$

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C",0'$ & R0'i$

1) E'+ s%*dn% indi.id*'((! 8$i%s %s"(*%i"n %" % <$s% 0$"#(, 'nd s%"0s7

2) P'i$s 8i(( s'$; +",0'$; 'nd$0'i$ 'ns8$s7

@) R0'% 5"$ '+ ?*s%i"n;

'(%$n'%in 8" s0':s <$s%7) E'+ s%*dn% %*$ns in "8n+",0(%d +"0!

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C",0'$ & R0'i$ D-B$i5)

W'% did !"* s4 W" 8's d"in ,"s% "5 % 8"$:4 W" 8's n"%4 W's %$ 5"$,'%i. 'ssss,n%4 W'% :ind "5 in5"$,'%i"n did % %'+$

% 5$", % 5"$,'%i. 'ssss,n%4 W'% :ind "5 5d#'+: did s%*dn%s

$+i.4 H"8 ,'n! s%*dn%s4

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L%9s C",0'$ % @ A00$"'+s

Whole Class78A

Unsru"ure$Grou(9is"ussion

Com(are 8Re(airSru"ure

P"si%i.In%$d0ndn+

d" %! nd'+ "%$4)

P"si%i. #*%"n(! "n

s%*dn%ind0ndn% "5.$!"n (s

P"si%i. #*%*ns%$*+%*$d

P"si%i. 'nd+'n9% d" %

'+%i.i%! #!!"*$s(5 nd0'$%n$ 5"$ n%s%0/++:)

Indi.id*'(A++"*n%'#i(i%!

N" N" Ys

E?*'(P'$%i+i0'%i"n

N" N" +'n '.5$("'d$s)

 Ys

Si,*(%'n"*sIn%$'+%i"n

N"1/@ @7@

A% ('s% 1 "*% "5 in ' $"*0 2

A% ('s% in '0'i$

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In%$'+%i. L+%*$/Tin:-P'i$-S'$

Where insan"es o' ime$+hink+(air+shareare insere$ ino ea"her+$ire"e$insru"ion a srae%i" momens

i77 0"s ' ?*s%i"n "$ s+n'$i" %" % +('ss; i. %in: %i,%" % 8"( +('ss; %n i. di$+%i"ns 5"$ 0$s"n A %"

'ns8$ 5"$ @ s+"nds; 0$s"n B %" 'ns8$ 5"$ @ s+"nds;'nd %n % %'+$ s(+%s ' +"*0( "5 s%*dn%s %" =s'$

8'% %i$ 0'$%n$ s'id> ,'in%'ins (is%nin

'++"*n%'#i(i%!))7 S", 8#si%s '$ 8887+7*,n7d*/Qs,i%/d"+s/S,i%-

Pd'"isJ"5JEn',n%70d5 "$%%0//s$+7+'$(%"n7d*/in%$""/in%$'+%i./ind7%,('ddi%i"n'( in5"$,'%i"n in (in:s "n (5% sid *nd$ 'd$)7

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B'+: %" P('nnin 8i% En',n% inMind6

H"8 %" s*++ss5*((! *s =s%$*+%*$s>1) L"": '% +"n%n% FIRST; %n s(+% % =s%$*+%*$> "$ '+%i.i%! %" <%

2) N"8 #'+: *06 0('n %" in%$"d*+ % s%$*+%*$ 8i% s",%in s"$% 'nd's! 's 0'$% "5 #innin "5 % !'$; ' $.i8 "5 #'+:$"*nd :n"8(d;' %', "$ +('ss #*i(din '+%i.i%!) s" s%*dn%s 'in 5',i(i'$i%! 8i% %0$"+d*$

@) In % +*$$n% (ss"n; in+(*d ' .is*'( "5 % 0$"+d*$'( s%0s 5"$ s%*dn%s%" $5$n+ %$"*"*% % '+%i.i%!7 In+(*d =sn%n+ s%'$%$s> i5ndd7

) Wn .$#'(iin %" s%*dn%s; '. % .is*'( 0$"+%d 'nd *s i%in%$'+%i.(! i77 0"in% %" i%; %+7)7 Tn ,"d( i% 8i% s%*dn% ."(*n%$s7

In+(*d +"*n%$',0(s 'nd "8 %" d'( 8i% %,7) P('n "8 % %'+$ 8i(( ,"ni%"$ 'nd 5"$,'%i.(! 'ssss % '+%i.i%!

+(e!tive tea!hers never let things run bythemselves)

they have !are#ully !ra#ted it to only look that way.

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D%$,inin 8i+ s%$*+%*$ %" *s

C",0'$ 'nd +"n%$'s% s"(.in/$'0inin?*'(i%is 'nd s"(.in/$'0in ?*'%i"ns7

R'((!R"#in; Ti,d-P'i$-S'$)

C'(+*('% % ,'n; ,di'n; 'nd ,"d "5 %d'%'7

R'((!C"'+; R'((!T'#(; T4; C",0'$-R0'i$) E0('in % s%0s 5"$ 5'+%"$in 0"(!n",i'(s7

Ti,d-P'i$-S'$; "$ R'((!T'#( 5"$ '1) P*% % s%0s "5 % 0$"#(, in % +"$$+%

"$d$7

R'((!T'#(; C",0'$-R0'i$)

P( i 5 B (( % B ((

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P('nnin 5"$ B(( %" B((Ins%$*+%i"n

D$7 T",'s ,n%'( ,'%s%$ins

 Ti,d +'((ns

s 'nd"*%)

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N"n-8"$:s% '00$"'+s/ Ri"$

9e"onsru"in% a "&lin$er as an inro$u"or&lesson

9erivin% he 'ormula 1an$:or oher variaions3

F"$ ',0(;

-Gi. s%*dn%s ' 0'0$ +!(ind$ %'0d %"%$ 5$", ' n%7-H'. %, ,'s*$ i% 'nd +*% i% '0'$% %" ,': ' n% 8$i%% ,'s*$,n%s "n % 0i+s)7

-H'. %, +", *0 8i% %i$ 8'! "5 <ndin s*$5'+ '$'

i. %, % d<ni%i"n <$s%)7 -H'. 'n"%$ $"*0 ++: %i$ '$i%,%i+ 5"$ +"$$+%nss7 Tn; .$i5! 8i% 'n 'ns8$ :!7

-Dis+*ss 8! %i$ ,%"d 8"$:d "$ didn9% 8"$:7

'$i'%i"n ins%'d "5 "$ '5%$ ,'s*$,n%s; *s .'$i'#(s 5"$ % sids)

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O%$ Id's

 T': ' 0i+ "5 0'0$ 'nd ,': ' +!(ind$ ("n8is;%n ,': ' +!(ind$ 8i% % 0'0$ sid8'!s7P$di+% 8i+ 's % #i$ s*$5'+ '$'7 M's*$'+ 'nd +'(+*('%7

M's*$ .'$i"*s +!(ind$s 'nd .$i5! 'ns8$+'(+*('%i"n 8i% ' 0$d%$,ind 'ns8$ :!%%#"":; %'+$ ,'d; %+7)7

C'$"*s( '+%i.i%! 8i% $"%'%in s%'%i"ns7 M's*$ 'nd

+'(+*('% s*$5'+ '$' 5"$ .'$i"*s +!(ind$s7C",0'$ ''ins% 'ns8$s "5 "%$ $"*0s 5"$ %s', "#+%7

C$'% !"*$ "8n 5"$,*(' 'nd %s% "n 'n"%$

+!(ind$ %" s i5 i% 8"$:s7

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M"$ id's; (ss"ns +",0(% 8i%%'+$ 0('nnin 'nd +"'+in *ids);.id"s "5 +('ss$"",s; %+7 +'n # 5"*nd '%

%%0//insid,'%,'%i+s7"$An ini%i'%i. %'% $8 "*% "5 % N"!+

F"*nd'%i"n9s Si(i+"n '((! M'%,'%i+sIni%i'%i.)

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O%$ Rs"*$+s

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