7/27/2019 How might multi-touch technology help preschoolers develop number sense?

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Lbw okilt ountk-tbuml temlfbnbiy ce ` pbwerdun `ka dbr

presmlbbners‛ aevenbpoeft bd fuoerkm`n `cknktkes2

@ff` C`mm`inkfk-Dr̀ fh Ufkverskty bd Obaef` `fa Seiikb Eoknk`

Semeft aevenbpoefts bd eaum`tkbf`n temlfbnbiy

tl`t `nnbw ountk-tbuml kfter`mtkbfs l`ve bpefea

few drbftkers kf tle dkena bd eaum`tkbf, `fa kf

p`rtkmun`r bd o`tleo`tkms eaum`tkbf. Nkter`ture

drbo tle dkenas bd feurbsmkefme, aevenbpoeft`n

psymlbnbiy, `fa o`tleo`tkms eaum`tkbf kfakm`te

tl`t uskfi dkfiers dbr mbuftkfi `fa represeftkfi

fuocers, cut `nsb uskfi tleo kf obre c`skm

w`ys, m`f l`ve ` pbsktkve eddemt bf tle

aevenbpoeft bd fuoerkm`n `cknktkes. Qle bcjemtkve

bd tlks pknbt stuay w`s tb mre`te `fa qu`nkt`tkveny

test ` =7 lbur prbtbmbn dbr 1-5 ye`r bna mlknaref,

tl`t okilt dbster eddemtkve use bd tlekr dkfiers.

Wrenkokf`ry resunts kfakm`te tl`t tle prbtbmbn ks

wenn aeskifea `fa tl`t tlrbuilbut tle

kfterveftkbf mlknaref koprbvea tlekr

perdbro`fmes wktl tle `pps `fa aevenbpea obre

o`ture represeft`tkbfs bd tlekr l`fas `fa

dkfiers.

N`ayCui Mbuft (NCM)

Bver`nn tle tr`kfkfi sesskbfs were summessdun `fa

tlks slbwea tl`t kt ks pbsskcne tb prbpbse tle

prbtbmbn. Kf iefer`n, mlknaref dbufa sboe

akddkmuntkes kf kfter`mtkfi wktl tle `pps, cut fb

mlkna w`s ever aksmbur`iea `fa w`ftea tb ne`ve

ler irbup. Obrebver:

0. Qb dbster tle aevenbpoeft bd = bd tle fuocer

sefse mbopbfeft `cknktkes (t`riet `cknktkes):

`. ]ucktkzkfi

c. Dkfe obtbr `cknktkes (t̀ ppkfi f̀a

tr`mkfi)

m. Dkfier ifbsk 8̀3. @oenkbr`te tle `cknkty tb represeft

fuoerbsktkes wktl dkfiers8

=. Dbster tle aevenbpoeft bd mbuftkfi

str`teikes.

Qlks pknbt stuay l`a tle `ko bd qu`nkt`tkveny

testkfi ` prbtbmbn dbr kfterveftkbf kf pre-smlbbn

mn`sses bd 1-5 ye`r bna mlknaref.

@cstr`mt

]boe Nkter`ture

@kos bd tle ]tuay

Oetlbabnbiy

T`rkbus sbdtw`re `ppnkm`tkbfs dbr tle kW`a (`pps)

were `f`nyzea `fa = were mlbsef cem`use bd 

tlekr pbteftk`n kf dbsterkfi aevenbpoeft bd tle

t`riet `cknktkes.

Ye tlef usea tlese tb aeskif ` tr`kfkfi prbtbmbn.

Qle kfterveftkbf n`stea =7 lburs p`rtktkbfea `sdbnnbws:

AS@YKFI BD O@FA (WSE)

KFQESTKEY] (WSE)

NCM-NY-NCM-D

NCM-NY-NCM-D

NCM-D

AS@YKFI BD O@FA (WB]Q)

KFQESTKEY] (WB]Q)

@nn tr`kfkfi sesskbfs were vkaeb rembraea `fa

`f`nyzea wktl respemt tb iestures `fa str`teikes

(`fa tlekr aevenbpoeft) usea cy tle mlknaref kf

e`ml akikt`n efvkrbfoeft.

E`ml mlkna‛s perdbro`fme kf Dkfiu w`s rembraea,

kf braer tb obfktbr kfakvkau`n prbiress `fa

mbop`re mlknaref‛s perdbro`fmes.

Qle stuay mbfdkros tl`t kt ks pbsskcne tb use tle

aeskifea prbtbmbn tb tr`kf ybufi mlknaref, `fa

tl`t kfaeea tle aevenbpoeft bd sboe bd tle

mbopbfeft `cknktkes dbr obre mbopnex fuoerkm`n

`cknktkes ab seeo tb ce strefitlefea cy tle

tr`kfkfi.

Nkokt`tkbfs: tlks w`s ` prenkokf`ry stuay, tle

s`opne w`s so`nn, fb st`tkstkm`n `f`nyses were

mbfaumtea

@mhfbwneaieoefts

Sederefmes

Qle ib`n ks tb iet tle n`aycui tb

w`nh bdd tle ne`d:

Qlks l`ppefs wlef tle s`oe

fuocer bd dkfiers ̀ s tle abts

bf ler c`mh ̀ re put bf tle

smreef skount`febusny, kf `fy

pbsktkbf. Qley o`y ce n`ka

abwf sequeftk`nny.

T`rkbus drukts ̀ ppe`r tb dnb`t kf

akddereft dkxea mbfdkiur`tkbfs bf

tle smreef. Qle pn`yer l`s tb set

tle mbrrespbfakfi fuocer bd 

dkfiers bf tle smreef

skount`febusny ̀ fa kf ̀ slbrt

`obuft bd tkoe.

Qlks ̀ pp prbpbses akddereft

p`tls tb tr`me. Ye usea tle

r`fabo dkiures obae (fbt

netters br fuocers). Qle mlkna

w`s ̀ shea tb tr`me p`tls =

tkoes: bfme wktl ler kfaex,

bfme wktl ler okaane dkfier,

`fa bfme wktl ler rkfi dkfier

(bd tle abokf`ft l`fa).

Qle Wrbtbmbn

Dkfiu (D)

Nkttne Yrkter (NY)

0< mlknaref (`ver`ie `ie 1y <o) wbrhea kf irbups

bd = br 1, w`tmlkfi bfe `fbtler wktl tlesupervkskbf bd ` rese`rmler.

Sesunts `fa Aksmusskbf

Ar`wkfi 0 (pre) Ar`wkfi 3 (pbst)

mlkna0

mlkna3

mlkna=

0. o`fy ar`wkfis slbwea koprbvea `w`refess

bd l`fas `fa dkfiers8

3. o`fy mlknaref

koprbvea tlekr

`cknkty tb represeft

fuoerbsktkes wktl

tlekr dkfiers8

=. o`fy mlknaref koprbvea tlekr st`tkstkms kf

Dkfiu8

Crkssk`ua, S. (0;;3). @ Qbnn dbr Fuocer Mbfstrumtkbf: Dkfier ]yocbn ]ets. Kf J.

Ckae`ua, M. Oenj`m & J.-W. Dksmler (Eas.) W`tlw`ys tb fuocer. Mlknaref‛ s

Aevenbpkfi Fuoerkm`n @cknktkes (10-49). Few Jersey. N`wrefme Ernc`uo

@ssbmk`tes.

Cutterwbrtl, C. (0;;;). Yl`t mbufts - lbw every cr`kf ks  l`rawkrea dbr o`tl.

Few [brh. Qle Dree Wress.

Ir`mk`-C`d̀ nnuy, O. & Fbèn, O.W. (377<). Abes dkfier tr`kfkfi kfmre`se ybufi

mlknaref‛s fuoerkm`n perdbro`fme2 Mbrtex, 11(1), =4<-=95.

Fbèn, OW. (3775). Dkfier ifbsk`: ̀ preakmtbr bd fuoerkm`n ̀ cknktkes kf mlknaref2

Mlkna Feurbpsymlbnbiy , 00, 0 ” 0<.

Weffer-Yknier, O., D`st, N., NeDevre, J.@., ]oktl-Ml`ft, C.N, ]hw`rmluh, ].N,

H`o`w`r, A., & Cks`fz, J. (3779). Qle Dbufa`tkbfs bd Fuoer`my: ]ucktkzkfi,

Dkfier Ifbsk`, ̀ fa Dkfe Obtbr @cknkty. Kf A. ]. OmF`o`r` & J. I. Qr`dtbf (Eas.),

Wrbmeeakfis bd tle 3;tl `ffu`n mbfderefme bd tle mbifktkve smkefme sbmkety .

@ustkf, Q\: Mbifktkve ]mkefme ]bmkety. pp. 0=<5-0=;7.

K wksl tb tl`fh Ikbrik` Ik`mbpkfk wlb m`rrkea but tle kfterveftkbf ̀ s p`rt bd ler

ufaerir`au`te tlesks ̀ t tle Ufkverskty bd Obaef` ̀ fa Seiikb Eoknk`, prbdessbr

O.I. C`rtbnkfk Cussk dbr bpefkfi tlks akremtkbf bd rese`rml, `fa tle presmlbbn

mlknaref bd Obaef` wlb sb jbydunny p`rtkmkp`tea.

Yktlbut tle ̀ cknkty tb ̀ tt`ml fuocer

represeft`tkbfs tb tle feur`n represeft`tkbfs

bd dkfiers ̀ fa l`fas kf tlekr fbro`n nbm`tkbfs,

tle fuocers tleosenves wknn fever l`ve `

fbro`n represeft`tkbf kf tle cr`kf.

(0;;;, pp. 31;-357)

Lypbtlesks: mbopnex fuoerkm`n

`cknktkes `re c`sea bf =

mbopbfeft `cknktkes:

• Sembifkzkfi so`nn

fuoerbsktkes wktlbut

mbuftkfi (sucktkzkfi)

• Dkfe obtbr `cknktkes (nkhedkfier t`ppkfi)

• Qle sucjemts represeft`tkbf

bd ler dkfiers (dkfier ifbsk`)

Crk`f Cutterwbrtl

Qr`kfkfi kf dkfier ifbsk`

nea ̀ f experkoeft`n irbup

bd mlknaref wktl nbw dkfier

ifbsk` tb perdbro cettertl`f ̀ irbup bd uf-tr`kfea

strbfi mlknaref kf dkfier

ifbsk` bf akddereft

fuoerkm`n t`shs.

(C`d`nnuy & Fbèn, 377<)

„Dkfier ifbsk`‟ ks ̀ ibba preakmtbr bd 

fuoerkm`n ̀ cknktkes bd tle mlkna. (Fbèn, 3775)

O`rke W`sm`ne Fbèn