kuliah 4 - number & place value.pptx
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NOMBOR & NILAI TEMPAT(NUMBERS & PLACE VALUE)
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Kurikulum Standard (Nomor)
KonsepNombor
Memahami nombor 1-10(menyebut, membilang,menulis).
Mengetahui sifar.
Memahami nombor 10-20(menyebut, membilang,menulis).
Memahami siri 20, 30, 40 an!0.
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O!"kti# a$i %"tia #oku%
"perasiNombor
(Nilai #empat)
Memahami operasitambah alamling$ungan 10.
Memahami operasi tola$alam ling$ungan 10.
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NUMERATION S'STEM
T"r" ar" man di*"r"nt num"ration %%t"mand +ariou% ro,"dur"% to u%" in uildin$ n"-num"r %%t"m%.
Our num"ration %%t"m a% #our ,ara,t"ri%ti,%/0 Pla," +alu" 1 T" o%ition o# a di$it r"r"%"nt% it% +alu"%.2 Ba%" o# T"n 3 Ba%" %iml m"an% a ,oll",tion. In our %%t"m4 t"n i% t"
+alu" tat d"t"rmin" a n"- ,oll",tion and it% a% t"n di$it%4 o trou$ 5.
6 U%" o# 7"ro 3 A %mol #or 7"ro "8i%t%.
9 Additi+" ro"rt 1 :;< nam"% t" num"r :== > ;= >
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USING PHYSICAL MODELS
% ?and3on "8"ri"n," -it maniulati+"% i%"%%"ntial in "%tali%in$ and d"+"loin$ t"
,on,"t o# la," +alu"
% Som" di*"r"nt %i,al mod"l% -i, ar""*",ti+" in "lin$ %tud"nt% d"+"lo anund"r%tandin$ not onl la," +alu"4 ut a%"n%" o# lar$"r num"r%.
% Mod"l% ma " "it"r roortional or non3roortional4 t" all ar" a%"d uon $rou%
o# t"n.
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USING PHYSICAL MODELS
% In roortional mod"l% #or a%" t"n %u, a%o%i,l" %ti,k%4 t" mat"rial #or := i% t"n tim"% t"%i7" o# :/:== i% t"n tim" t" %i7" o# :=4 and %o on.
% Proortional mod"l% ar" mor" ,on,r"t"4 andr",omm"nd tat ,ildr"n u%" and ,l"arlund"r%tand t"m "#or" mo+in$ to t" non3roortional mod"l%.
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USING PHYSICAL MODELS
% Non3roortional mod"l% 1 t" aa,u% and t",i% ar" +"r %imilar.
% In "a, mod"l4 a %"t o# di*"r"nt ,olor"d "ad%(,i%) ro+id"% t" a%i% #or tradin$.
@or "8aml"/
T"n -it" ,i% mi$t " trad"d #or on" r"d4
T"n r"d #or on" lu"4 and %o on.
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CUISINAIRE RODS
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USING PHYSICAL MODELS
% In a %imilar mann"r4 t" "ad% (,i%) on anaa,u% ar" arran$"d in a 8"d ord"r.
% Pro"r trad" %ould " dro"d a% %oon a%o%%il" %o tat att"ntion -ill %i#t #rom ,olor o# t""ad% (,i%) to t"ir o%ition.
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IENES BLOCK
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ABACUS
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NCTM (;==)
@or $rad" : and ;/
D$rouin$ in t"n% and on"% andDund"r%tandin$ o# t" a%"3t"nnum"ration %%t"m and la," +alu"%%t"m ( :< 1 :F)
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T?E UNIGUE @EATURES O@ T?E BASE3TEN S'STEM
:. T" %%t"m u%"% t" num"ral%
:4 ;4
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;. Ba%" t"n i% a o%itional %%t"m.
T" on" la," i% on t" ri$t.
T" n"8t o%ition i% t" a%"4 t"n t"a%" tim"% t" a%"4 and %o on ( :=).
F > ; > > :%
"8/ H
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MULTIPLE CONCEPTION O@ PLACEVALUE
:. Unitar 1 multi3di$it/ #t 1 #our m"an HF.
;. ",ad" and on"%/ t" ,ild ma mi8 d",ad"%-it ot"r num"r%
"$/ :=4 ;=4
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F. Unit% o# t"n%/ T" ,ild kno- "8a,tl t" +alu"o# t"n% #rom t" num"r.
H m"an% H= and
H. Int"$rat"d %"u"n," 1 %"arat" t"n% and on"%/
t" ,ild automati,all u%"% t" ,on,"t% o#t"n% and on"%.
"$/ t" ,ild i% al" to i,ku a ,"rtain amounto# +alu"% a#t"r "in$ a%k"d.
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C?ILRENS UNSTRUCTURESTRATEIES/
Traditional aroa, o# addition/
;:;<
Add"d F to < and $"t 4 %o I ut do-n . T"n I add"d .
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MEANIN@UL STRATEIES/
:J > ;H >
:
;
:. ;.
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JHF 3 ;J ==
3 := 3 F HJ
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ESTIMATIN AN ROUNIN
Tanakan/
Tana "la!ar "raa ol" dima%ukkank" dalam %atu akul
B"raa !au ruma anda dari %"kola
B"raa lama a-ak "r!alan k" %"kolatadi
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P"rmainan/
T"ntukan k"dudukan alin$ d"kat.
Suru kanak3kanak "rdiri diantara duaoran$ kanak3kanak an$ lain.
Minta dia "r$i k"ada ka-anna an$t"rd"kat.
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PERKENALKAN ARIS NOMBOR (NUMBER LINE) PAAPEMBARIS
unakan "mari% an$ ada unit%"ntim"t"r %aa!a.
Suru kanak3kanak ukur an!an$ o!"k
= : ; < F H
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AKTIVITI/
Ran,an$ %atu "rmainan t"ntan$/ M"n$"nal nomor
M"muat o"ra%i
m"n$an$$ar
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TERIMA KASI?
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MATHEMATICAL LANGUAGE AND CONCEPTS FOR YOUNG CHILDREN FALL INTO THREE MAIN CATEGORIES
Numbers and opera!ons
Geomer" and spa!a# sense
Paerns and measuremen
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NUMBERS AN OPERATIONS
Num"r %"n%" in+ol+"% t"ailit to tink and -ork -it
num"r% and to und"r%tandt"ir u%"% and r"lation%i%.
DO"ration% i% t" #ormalmat"mati,al t"rm r"#"rrin$
to addition4 %utra,tion4multili,ation4 and di+i%iono# num"r%.
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C?ILREN LEARNIN ABOUT NUMBERS ANOPERATIONS
d"mon%trat" in,r"a%in$int"r"%t in and a-ar"n"%%
o# num"r% and ,ountin$ a% a m"an% o# %ol+in$rol"m% and d"t"rminin$uantit
B"$in to a%%o,iat"num"r ,on,"t%4+o,aular4 uantiti"%4and -ritin$ num"ral% inm"anin$#ul -a%
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C?ILREN LEARNIN ABOUT NUMBERS ANOPERATIONS
"+"lo in,r"a%in$ailit to ,ount in
%"u"n," to := and"ond
B"$in to mak" u%" o#on"3to3on",orr"%ond"n," in,ountin$ o!",t% and
mat,in$ $rou% o#
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C?ILREN LEARNIN ABOUT NUMBERS ANOPERATIONS
B"$in to u%" lan$ua$"to ,omar" num"r% o#
o!",t% -it t"rm% %u,a% mor"4 l"%%4 $r"at"rtan4 #"-"r4 "ual to
"+"lo in,r"a%"d
ailiti"% to ,omin"4%"arat" and nam"Do- man ,on,r"t"o!",t%
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NUMBERS AN OPERATIONS/ OPPORTUNITIES TOMAT?EMATIQE
En,oura$" ,ildr"n to ,ount all %ort% o# o!",t% and "+"nt%
and to tink aout uantitand num"r.
In+ol+" ,ildr"n in mat,in$ and %ortin$ o!",t%
u%in$ on"3to3on",orr"%ond"n,"
ord"rin$ o!",t% tat +ar in,olor4 %i7"4 or ot"r dim"n%ion%
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NUMBERS AN OPERATIONS/ OPPORTUNITIES TOMAT?EMATIQE
ra- att"ntion to num"r%and o- t" ar" u%"d %u,a% addr"%%"%4 ri,"% o#o!",t% and %o" %i7"%.
U%" %trat"$i"% tat "l,ildr"n l"arn to ,ount
a,,urat"l and ",i"ntl%u, a% ointin$totou,in$mo+in$ "a,o!",t "in$ ,ount"d.
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NUMBERS AN OPERATIONS/ OPPORTUNITIES TOMAT?EMATIQE
Talk aout t" art% tatmak" u a -ol" 3 a
,on,"t tat und"rli"%addition and %utra,tion.
U%" -ord% r"lat"d to"%timation 1 mor" tan4
l"%% tan4 aout4 n"arl4aro8imat"l4 and in"t-""n.
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NUMBERS AN OPERATIONS/ OPPORTUNITIES TOMAT?EMATIQE
A%k ,ildr"n to "%timat" o-mu,4 o- lon$ or o-
man. En,oura$" t"m tot"%t #or t" a,tual an%-"r
Pla $am"% tat in,lud"
,ountin$ and u%in$ num"r%(Simon Sa%4 %iml" oard4,ard or di," $am"%4o%,ot,)
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T?ANK 'OU
Go forth and
“mathematize”!
Lauri" ana
Or"$on ?"ad Start Pr"K S",iali%t
lauri".dana%tat".or.u%
mailto:[email protected]:[email protected]