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]