Aula
O ALGEPLAN
11
META
$SUHVHQWDUR$OJHSODQFRPRXPPDWHULDOGLGiWLFRTXHSRGHVHUXWLOL]DGRQDDXODGH0DWHPiWLFD
OBJETIVOS
$R¿QDOGDDXODRDOXQRGHYHUi
LGHQWL¿FDUDVFDUDFWHUtVWLFDVGR$OJHSODQFRPRPDWHULDOGLGiWLFRSDUDHQVLQDU0DWHPiWLFD
GHVHQYROYHUHDQDOLVDUDWLYLGDGHVGLGiWLFDVFRPR$OJHSODQFRPRPDWHULDOGLGiWLFRHDUHVROXomRGH
problemas como metodologia de ensino.
35e5(48,6,726
7HPDVWUDWDGRVQDVDXODVVREUHDVWHQGrQFLDVPHWRGROyJLFDVGD(GXFDomR0DWHPiWLFDEHPFRPR
QDDXODVREUHRVPDWHULDLVGLGiWLFRV
$OJHSODQPDWHULDOXVDGRQRHQVLQRGDPDWHPiWLFD
(Fontes: http://brinquedosmeneguel.com.br)
/DERUDWyULRGH(QVLQRGH0DWHPiWLFD
,1752'8d®2
Nesta aula, vamos investigar como o Algeplan pode subsidiar atividades
GLGiWLFDVTXHHQIDWL]DPFRQWH~GRVPDWHPiWLFRV0DVRTXHpR$OJHSODQ"
&RPRHTXDLVFRQWH~GRVPDWHPiWLFRVSRGHULDPVHUWUDEDOKDGRVFRPHVWH
UHFXUVR"6HUiTXHDVKLSyWHVHVIRUPXODGDVDSDUWLUGDDQiOLVHGRQRPHGHVWH
UHFXUVRGLGiWLFRSRGHPVHUFRPSURYDGDV"
3DUDUHVSRQGHUDHVVDVHRXWUDVLQGDJDo}HVYDPRVLGHQWLÀFDUHFRQIHF
FLRQDUR$OJHSODQEXVFDQGRHVWDEHOHFHUDOJXPDVUHODo}HVHQWUHRUHIHULGR
UHFXUVRHRHQVLQRGHDOJXQVFRQFHLWRVPDWHPiWLFRVLQHUHQWHVjFRPSRVLomR
GHVVHPDWHULDOGLGiWLFR
$ VHJXLU SURFXUDUHPRV LQGtFLRV SDUD HVWHQGHU DV SRVVLELOLGDGHV GH
HPSUHJRGR$OJHSODQSRUPHLRGRGHVHQYROYLPHQWRHGDDSUHFLDomRGH
DOJXPDVDWLYLGDGHVGLGiWLFDVEHPFRPRGDDQiOLVHGHOLYURVGLGiWLFRVGRV
DQRVÀQDLVGRHQVLQRIXQGDPHQWDOFRPRREMHWLYRGHYHULÀFDUFRPRRV
PDQXDLVGLGiWLFRVHQIDWL]DPRVFRQFHLWRVUHODFLRQDGRVFRPDFRPSRVLomR
ItVLFDGR$OJHSODQ
(Fonte: http://www.lasalle.edu.br)
130
O Algeplan
O ALGEPLAN
Aula
11
2 $OJHSODQ p XP UHFXUVR GLGiWLFR FRPSRVWR SRU SHoDV FRP DV
VHJXLQWHVGLPHQV}HVTXDGUDGRVGHODGR[ÀJXUDTXDGUDGRVGHODGR
\FRPR\[ÀJXUDUHWkQJXORVFRPODGRV[H\ÀJXUDUHWkQJXORV
FRPODGRV[HÀJXUDTXDGUDGRVGHODGRÀJXUDHUHWkQJXORVGH
ODGRV\HÀJXUD
)LJXUDD5HSUHVHQWDomRGDVSHoDVGR$OJHSODQ
Fonte: Pasquetti, 2008, p. 26
1DYHUVmRLQGXVWULDOL]DGDGHVWHPDWHULDODVSHoDVGHGLPHQV}HVGLVWLQWDV
SRVVXHPFRUHVGLIHUHQWHVVHQGRTXHSDUDLQGLFDURVLPpWULFRDGLWLYRRX
RSRVWRGHFDGDSHoDXVDVHRYHUVRGDPHVPDVLQDOL]DQGRDVHPSLQWDU
ÀJXUDRXSLQWDQGRDVWRGDVGHXPDPHVPDFRUGLVWLQWDGDVFRUHVGDV
RXWUDVSHoDV
0DVR$OJHSODQWDPEpPSRGHVHUSURGX]LGRDUWHVDQDOPHQWHHP(9$
HPERUUDFKDGRSDSHOFDUWmRFDUWROLQDRXDLQGDFRQVWUXtGRXVDQGRXP
VRIWZDUHTXHSRVVXLXPDLQWHUIDFHJHRPpWULFDFRPRR&DEUL*pRPqWUHGH
modo a obter o que Fanti (2009) denominou Algeplan Virtual.
Figura 7- Algeplan
Fonte: Fanti, 2009, p. 171
131
/DERUDWyULRGH(QVLQRGH0DWHPiWLFD
$SDUWLUGDREVHUYDomRLQLFLDOGR$OJHSODQHGHVXDGHVFULomRRUJDQL]H
DOJXPDVKLSyWHVHVVREUHTXDOpRREMHWLYRGR$OJHSODQ&RPRYRFrSRGH
XWLOL]iORFRPRXPUHFXUVRGLGiWLFRSDUDHQVLQDU0DWHPiWLFD"
3DUDUHVSRQGHUDHVWDVLQGDJDo}HVpSUHFLVRLQYHVWLJDUPDLVVREUHHVWH
PDWHULDOGLGiWLFRHXPDGDVSRVVLELOLGDGHVGHUHDOL]DUHVVDLQYHVWLJDomRp
confeccionando-o.
ATIVIDADES
&KHJRXDKRUDGHFRORFDUDPmRQDPDVVDePRGRGHGL]HUDFRQVHOKRTXH
FRORTXHDPmRQR(9$HPERUUDFKDGRPDVVHSUHIHULUSRGHFRORFDUD
PmRQRSDSHOFDUWmRSRLVSURSRQKRTXHYRFrFRQIHFFLRQHRVHXSUySULR
$OJHSODQ(SDUDWDQWRpSUHFLVRGHFLGLUVREUH
4XHPDWHULDOSRGHVHUXWLOL]DGRSDUDSURGX]LUHVWDVSHoDV"
4XDQWDVSHoDVGHYHPVHUFRQIHFFLRQDGDVGHFDGDPHGLGD"
4XDLVDVGLPHQV}HVGHVWDVSHoDV"
- Com que cor elas podem ser confeccionadas?
&RPRID]HUSDUDGLVWLQJXLURVRSRVWRVRXVLPpWULFRVDGLWLYRVVHXWLOL]DU
E.V.A ou cartolina?
$SURSRVWDLQLFLDOpTXHYRFrUHDQDOLVHDVFDUDFWHUtVWLFDVGR$OJHSODQHDV
VLPREWHQKDLQGtFLRVGHFRPRLQLFLDURSURFHVVRGHFRQVWUXomR6HDFKDU
SHUWLQHQWHLQYHVWLJXHHPVtWLRVGHEXVFDHPOLYURVRXSHULyGLFRVGDiUHD
GH(GXFDomR0DWHPiWLFDRXWUDVLQIRUPDo}HVVREUHR$OJHSODQDQWHVGH
FRQIHFFLRQiOR
&20(17É5,262%5($6$7,9,'$'(6
(QWmRFRPRIRLDFRQVWUXomRGRVHX$OJHSODQ"(VSHURTXHWHQKDVLGR
XPVXFHVVR$OpPGHDQDOLVDURPDWHULDOGLGiWLFRMXVWLÀFRDQHFHVVLGDGH
GHFRQIHFomRSRLVHVVHpXPPHLRSHORTXDOYRFrSRGHWHUDFHVVRItVLFR
ao material em estudo.
&DVRHVWHMDHPG~YLGDVREUHDVGLPHQV}HVDSUHVHQWRFRPRVXJHVWmR
[ FP\ FPHDXQLGDGHFRPRFP2EVHUYHVmRDSHQDV
DOJXPDVVXJHVW}HVVHSUHIHULUFRQVWUXLUXPPDWHULDOFRPGLPHQV}HV
PDLRUHV QmR WHP SUREOHPD $ ~QLFD TXHVWmR p TXH VH RSWDU SRU
PHGLGDVPHQRUHVWDOYH]ÀTXHXPSRXFRFRPSOLFDGRQRPRPHQWR
de manipular, principalmente o quadrado com 2 cm de lado, que, no
caso, representa a unidade.
&RPRR$OJHSODQJHUDOPHQWHpFRPSRVWRSRUSHoDVYRFrSRGH
FRQIHFFLRQDUTXDGUDGRVGHODGR[ÀJXUDTXDGUDGRVGHODGR
132
O Algeplan
\FRPR\[ÀJXUDUHWkQJXORVFRPODGRV[H\ÀJXUD
UHWkQJXORVFRPODGRV[HÀJXUDTXDGUDGRVGHODGRÀJXUD
H UHWkQJXORV GH ODGRV \ H ÀJXUD LVVR SRUTXH DV SHoDV
FRUUHVSRQGHQWHVjVÀJXUDVHVmRDVPDLVXWLOL]DGDVGXUDQWHD
PDQLSXODomRGRPDWHULDO
Se optar por confeccionar o Algeplan em E.V.A ou papel dupla face
DFRQVHOKRTXHPDUTXHVLQDO´²µQRYHUVRGHFDGDSHoDRXHVFROKD
XPDRXWUDFRUGLIHUHQWHGDVMiXVDGDVSRUH[HPSORPDUURPRXFLQ]D
SDUDFRQVWUXLUSDUDFDGDSHoD´SRVLWLYDµXPDSHoDFRUUHVSRQGHQWH
QHVVDQRYDFRUSDUDLQGLFDUDSHoDRSRVWDQHJDWLYD&DVRYRFrSUHÀUD
RSDSHOFDUWmRQmRpQHFHVViULRWRPDUHVWHFXLGDGRSRLVHVWHWLSRGH
SDSHOMiSRVVXLODGRVFRPFRUHVGLVWLQWDV
2XWUDSRVVLELOLGDGHpTXHR$OJHSODQVHMDFRQVWUXtGRFRPSHoDVGH
DSHQDVGXDVFRUHVVHQGRTXHXPDUHSUHVHQWDDVSHoDVSRVLWLYDVHRXWUD
DV QHJDWLYDV FRQIRUPH FRQVWD QR DUWLJR GH +HOOPHLVWWHU H *DOYmR
(1998). Se eleger esta alternativa selecione cores com tonalidades bem
distintas, mas evite o preto e o branco.
Ressalto que, para compor o planejamento que segue, selecionei as
SHoDVFRORULGDVFRPRSRVLWLYDVHDSUHWDFRPRDQHJDWLYDGHYLGRDR
IDWRGHTXHHVWHPDWHULDOVHUiLPSUHVVRHPHVFDODGHFLQ]D
Aula
11
'XUDQWH RPRPHQWRGH HVFROKDGRPDWHULDOGD GHOLPLWDomRGDVGL
PHQV}HV GDVSHoDV H GD FRQIHFomR GR VHX$OJHSODQ YRFr VHJXUDPHQWH
FRPHoRX D HVWDEHOHFHU RXWUDV FRQMHFWXUDV VREUH RV SURFHGLPHQWRV H RV
FRQWH~GRVHQYROYLGRVHPDWLYLGDGHVGLGiWLFDVTXHFRQWDPFRPR$OJHSODQ
FRPRUHFXUVRGLGiWLFR-iWHYHDRSRUWXQLGDGHGHDSHUIHLoRDUH[SORUDUH
FRQÀUPDUVXDVKLSyWHVHV"4XDLVVmRVXDVVXJHVW}HVHPUHODomRjVSRWHQ
cialidades do Algeplan?
6HJXUDPHQWHYRFrREVHUYRXTXHH[LVWHXPDGHVFULomRHVSHFtÀFDSDUD
DVGLPHQV}HVGHFDGDWLSRGHSHoD'HSRVVHGHVVDVGLPHQV}HVHGDIRUPD
GDVÀJXUDVpSRVVtYHOHVWDEHOHFHUPRVXPDLGHQWLÀFDomR~QLFDSDUDFDGDSHoD
GR$OJHSODQ"(VWDLGHQWLÀFDomRHPEDVDVHHPTXHFRQFHLWRPDWHPiWLFR"
$RUHVSRQGHUDHVWDVSURYRFDo}HVYRFrREWpPSLVWDVTXHRREMHWLYRSULQ
FLSDOGR$OJHSODQUHVLGHQDSRVVLELOLGDGHGHUHODFLRQDUDVUHSUHVHQWDo}HV
JHRPpWULFDVGDVÀJXUDVSODQDVTXDGUDGRVHUHWkQJXORVFRPH[SUHVV}HV
DOJpEULFDVGRSULPHLURHVHJXQGRJUDXVPRQ{PLRVSROLQ{PLRVUHVROXomR
GHHTXDo}HVGRSULPHLURJUDXHIDWRUDomRGHWULQ{PLRVGRVHJXQGRJUDX
0DVYRFrGHYHHVWDUVHTXHVWLRQDQGRFRPRUHSUHVHQWDUHVWHVFRQFHLWRV
FRPDFRPSRVLomRGDVSHoDVGR$OJHSODQ"4XHÀJXUDVJHRPpWULFDVSRGHP
VHUIRUPDGDV"([LVWHDOJXPDUHJUDGHFRPSRVLomR"
3RLVpVXUSUHHQGHQWHPHQWHR$OJHSODQSRVVXLXPD~QLFDUHJUDTXH
DÀUPDTXH
133
/DERUDWyULRGH(QVLQRGH0DWHPiWLFD
DRFRPSRUÀJXUDVSODQDVHOHPHQWRVSRVLWLYRVHQHJDWLYRVFRPDVPHVPDV
GLPHQV}HVVHDQXODPRXVHMDVHFDQFHODP
9RFrFRQFRUGDFRPHVWDUHJUD"$FUHGLWDTXHFRPDSHQDVHVWHSULQFtSLR
pSRVVtYHOXWLOL]DUR$OJHSODQFRPRUHFXUVRDX[LOLDUQDDSUHHQVmRGRVFRQ
FHLWRVGHDGLomRPXOWLSOLFDomRHIDWRUDomRGHSROLQ{PLRVHQWUHRXWURV"
6HQmRHVWLYHUGHDFRUGRDSUHVHQWHVXJHVW}HVSDUDFRPSOHPHQWDUHVWD
UHJUDQRIyUXPGHGLVFXVVmRGDSODWDIRUPDSRLVRREMHWLYRpUHFRQKHFHU
DVSRWHQFLDOLGDGHVGHVVHPDWHULDOGLGiWLFRHDVVLPDPSOLDUDVSRVVLELOLGDGHV
GHXVRGRUHIHULGRUHFXUVRQDVDXODVGH0DWHPiWLFD
POSSIBILIDADES DO USO DO ALGEPLAN EM
80$$8/$'(0$7(0É7,&$
$SDUWLUGHDJRUDYDPRVGHVHQYROYHUXPDVHTXrQFLDGHDWLYLGDGHVFRP
R$OJHSODQSDUDWDQWRIRUDPVHOHFLRQDGRVFRQWH~GRVPDWHPiWLFRVGREORFR
1~PHURVH2SHUDo}HV%5$6,/HPHVSHFtÀFRSDUD´REWHQomRGH
H[SUHVV}HVHTXLYDOHQWHVDXPDH[SUHVVmRDOJpEULFDSRUPHLRGHIDWRUDo}HV
HVLPSOLÀFDo}HVµS
3DUDFRPSRUHVWDVHTXrQFLDIRUDPHVFROKLGDVHDGDSWDGDVDWLYLGDGHV
SURSRVWDVQRVWUDEDOKRVGH+HOOPHLVWWHUH*DOYmR)DQWLHWDO
H 3DVTXHWWL (VWHV WUrV WUDEDOKRV DSUHVHQWDP RXWUDV LQIRUPDo}HV
HDWLYLGDGHVHPUHODomRDRHPSUHJRGR$OJHSODQHHVWmRGLVSRQtYHLVQD
plataforma.
$RFRQKHFHUR$OJHSODQHFRQIHFFLRQiORSURYDYHOPHQWHYRFrUHOD
FLRQRXDVGLPHQV}HVGHFDGDSHoDHVXDiUHDHORJRDSyVFRQFOXLXTXHR
SULPHLURPRGRGHHPSUHJDUHVWHPDWHULDOGLGiWLFRQDVDXODVGH0DWHPiWLFD
p H[SORUDU DUHODomR GDVSHoDV GR$OJHSODQFRP D UHSUHVHQWDomR GH H[
SUHVV}HVDOJpEULFDV
0DVTXDLVVmRDVOLPLWDo}HVGHVWHUHFXUVRGLGiWLFR"6HUiTXHSRGHPRV
UHSUHVHQWDUTXDOTXHUWLSRGHH[SUHVVmRDOJpEULFD"
9DPRVDQDOLVDURPDWHULDOFRPPDLVDWHQomR
0RPHQWR UHSUHVHQWDomR ÀJXUDO GH H[SUHVV}HV DOJpEULFDV FRP R
Algeplan.
utiD9RFrSRGHUHSUHVHQWDUDH[SUHVVmRDOJpEULFD OL]DQGRDVSHoDVGR$OJHSODQ"(PFDVRDÀUPDWLYRTXHWLSRGHUHODomRGHYH
VHUHVWDEHOHFLGD"(VWDUHODomRSRGHVHUHPSUHJDGDSDUDRXWUDVH[SUHVV}HV
DOJpEULFDV"3RUTXr"
E([LVWHRXWUDFRPSRVLomRGHSHoDVSDUDUHSUHVHQWDUDH[SUHVVmRDOJp
brica "6HH[LVWLUTXDLVVmRDVFDUDFWHUtVWLFDVGHVWD
FRPSRVLomR"
F$UHSUHVHQWDomRTXHVHJXHÀJXUDVHUHIHUHDTXHH[SUHVVmRDOJpEULFD"
134
O Algeplan
G(DH[SUHVVmRSRGHVHUUHSUHVHQWDGDFRPSHoDVGR
Aula
11
$OJHSODQ"3RUTXr"
)LJXUD5HSUHVHQWDomRÀJXUDOGHXPSROLQ{PLRFRPR$OJHSODQ
Fonte: Pasquetti, 2008, p. 27
3DUDUHVSRQGHUDHVVDVTXHVW}HVpQHFHVViULRLGHQWLÀFDUTXDLVHTXDQWDVSHoDV
GR$OJHSODQVHULDPXWLOL]DGDVHPFDGDUHSUHVHQWDomRDOJpEULFD'HVWHPRGR
XPDSRVVtYHOVROXomRSDUDDVSULPHLUDVLQGDJDo}HVpDSUHVHQWDGDQDÀJXUD
Ressalto, no entanto, que ao propor atividades como a exposta anteriorPHQWHRVDOXQRVSRGHPDSUHVHQWDUVROXo}HVTXHVHMDPGLVWLQWDVjGDÀJXUD
7DQWRHPUHODomRjRUGHPHPTXHDVSHoDVHVWmRGLVSRVWDVFRPRDRIDWR
GHDFUHVFHQWDUSHoDVSRVLWLYDVHQHJDWLYDVFRPDVPHVPDVGLPHQV}HV1HVWH
FDVRXPDFDQFHODULDDRXWUDGXUDQWHDVLPSOLÀFDomRGDH[SUHVVmRDOJpEULFD
FRPRSRUH[HPSORXPDSHoDGHiUHDHRXWUDGHiUHDFRPRFRQVWDQDTXHVWmR
SURSRVWDQDOHWUDFHHQYROYHDVLPSOLÀFDomRGHH[SUHVV}HVDOJpEULFDV
Neste momento cabe ao professor atuar como um orientador e esclarecer,
SRUPHLRGHTXHVWLRQDPHQWRVFRPRRDOXQRHVWDEHOHFHXWDLVUHODo}HVHP
sua primeira tentativa. Assim como ocorre com outros recursos, o AlgeplanSHUPLWHH[SORUDUDVVROXo}HVTXHQmRVmRSDGURQL]DGDVSULQFLSDOPHQWHVH
DVDODGHDXODVHFDUDFWHUL]DFRPRXPDPELHQWHTXHYDORUL]DDLQYHVWLJDomR
HDSDUWLFLSDomRDWLYDGRDOXQRQDVDWLYLGDGHVSURSRVWDV
)LJXUD5HSUHVHQWDomRGDH[SUHVVmRDOJpEULFDFRPR$OJHSODQ
Fonte: Pasquetti, 2008, p. 26
135
/DERUDWyULRGH(QVLQRGH0DWHPiWLFD
-iHPUHODomRDRLWHPGRTXHYRFrFRQFOXLX"2EVHUYRXTXHR$OJHSODQ
WDPEpPSRVVXLDOJXPDVOLPLWDo}HV4XHOLPLWDo}HVVmRHVWDV"
$SHVDUGR$OJHSODQUHSUHVHQWDUDSHQDVSROLQ{PLRVFRPFRHÀFLHQWHVLQ
WHLURVFRPRDX[tOLRGHVWHPDWHULDOGLGiWLFRpSRVVtYHOH[SORUDURVFRQFHLWRV
GHDGLomRGHSROLQ{PLRV,VWRUHSUHVHQWDXPDFDUDFWHUtVWLFDSRVLWLYDSDUD
HVWHPDWHULDOGLGiWLFRSRLVGHDFRUGRFRPRV3DUkPHWURV&XUULFXODUHV1D
FLRQDLVGH0DWHPiWLFD%5$6,/S´DYLVXDOL]DomRGHH[SUHVV}HV
DOJpEULFDVSRUPHLRGHFiOFXORVGHiUHDVHSHUtPHWURVGHUHWkQJXORVpXP
UHFXUVRTXHIDFLOLWDDDSUHQGL]DJHPGHQRo}HVDOJpEULFDV>@$XWLOL]DomR
GHVVHVUHFXUVRVSRVVLELOLWDDRDOXQRFRQIHULUVLJQLÀFDGDjVH[SUHVV}HVµ
0DVVHUiTXHR$OJHSODQWDPEpPSHUPLWHUHSUHVHQWDUDPXOWLSOLFDomRGH
SROLQ{PLRV"9RFrWHPDOJXPDVXJHVWmRGHFRPRRUJDQL]DUHVWDPXOWLSOL
FDomRFRQVLGHUDQGRD´UHJUDGHVLQDOµTXHHQYROYHDRSHUDomRGHPXOWL
SOLFDomR"
0RPHQWR0XOWLSOLFDomRFRPR$OJHSODQ
3DUDUHSUHVHQWDURSURGXWRGHSROLQ{PLRVFRPDSRLRGR$OJHSODQpSUHFLVR
DGHTXDU DV UHSUHVHQWDo}HV ÀJXUDLV'HVWD IRUPD D FRPSRVLomR GH XPD
PXOWLSOLFDomRGHGRLVSROLQ{PLRVQR$OJHSODQHQYROYHDUHSUHVHQWDomRGH
XPSROLQ{PLRQDYHUWLFDOHRXWURQDKRUL]RQWDOGHPRGRTXHRSROLQ{PLR
UHVXOWDQWH p D iUHD IRUPDGD SHOR UHWkQJXOR FRP DV UHIHULGDV GLPHQV}HV
FRQVLGHUDQGR D ´UHJUD GH VLQDLVµ VHQGR TXH XPD GDV SRVVLELOLGDGHV p
DSUHVHQWDGDQDÀJXUD
)LJXUD5HSUHVHQWDomRGDUHJUDGHVLQDLVSDUDDPXOWLSOLFDomRFRPR$OJHSODQ
Fonte: Pasquetti, 2008, p. 30
136
O Algeplan
9RFrFRQFRUGDFRPHVWHPRGRGHUHSUHVHQWDURSURGXWRGHSROLQ{PLRV
FRPR$OJHSODQ"3RVVXLRXWUDVXJHVWmR"([SUHVVHVXDRSLQLmRQRIyUXP
GHGLVFXVVmRGDSODWDIRUPD
Aula
11
0RPHQWR0XOWLSOLFDomRGHELQ{PLRVFRPDVSHoDVGR$OJHSODQ
D'HDFRUGRFRPDVGLPHQV}HVGDÀJXUDTXDLVVmRRVELQ{PLRVTXH
HVWmRVHQGRPXOWLSOLFDGRV"
E4XDOpRUHVXOWDGRGHVWDPXOWLSOLFDomRVHYRFrFRQVLGHUDUDViUHDVGDV
ÀJXUDVJHRPpWULFDVUHSUHVHQWDGDV"
FeSRVVtYHOH[SUHVVDUXPDLJXDOGDGHHQWUHRSURGXWRGRVELQ{PLRVH
FRPRWULQ{PLR3RUTXr"
)LJXUD5HSUHVHQWDomRGHXPSURGXWRFRPR$OJHSODQ
Fonte: Pasquetti, 2008, p. 33
G$JRUDYDPRVIDWRUDURWULQ{PLRFRPR$OJHSODQ3DUDWDQWRWRPHD
TXDQWLGDGHPtQLPDGHSHoDVTXHUHSUHVHQWDPHVWHWULQ{PLR&RPWDLVSHoDV
pSRVVtYHOIRUPDUXPUHWkQJXORDVVXPLQGRTXHDVGLPHQV}HVGRUHWkQJXOR
IRUPDGRUHSUHVHQWDPRVIDWRUHVGRWULQ{PLR"
H4XHIRUPDpHVVD"(PFDVRQHJDWLYR"2TXHGHYHVHUIHLWRSDUDUHSUHVHQ
WDUDIRUPDIDWRUDGDGHVWHWULQ{PLRXPDYH]TXHHOHSRGHVHUGHFRPSRVWR
FRPRRSURGXWRGHGRLVELQ{PLRVFRQIRUPHIRLFRQFOXtGRDQWHULRUPHQWH"
IeSHUPLWLGRDFUHVFHQWDUSHoDVTXHVHFDQFHODPFRPRIRLUHDOL]DGRHP
XPD GDV DWLYLGDGHVGR PRPHQWR " (P FDVR DÀUPDWLYR TXDQWDV SHoDV
devem ser acrescentadas?
JeSRVVtYHODFUHVFHQWDUXPDTXDQWLGDGHtPSDUGHSHoDV"3RUTXr"
K(DFUHVFHQWDUXPDTXDQWLGDGHSDUGHSHoDV"3RUTXr"'HTXHPRGR
estes pares devem ser compostos?
137
/DERUDWyULRGH(QVLQRGH0DWHPiWLFD
L&RPRDVSHoDVGHYHPVHUGLVSRVWDVQDUHSUHVHQWDomRÀJXUDOGHVHQKR
SDUDIRUPDUXPUHWkQJXOR"
&RPRRREMHWLYRpIRUPDUXPUHWkQJXORSHUIHLWRFRPDVSHoDVGRWULQ{PLR
QmRpSHUPLWLGRDFUHVFHQWDUXPDTXDQWLGDGHtPSDUGHSHoDVSRLVLULDDOWHUDU
RWULQ{PLR$VVLPD~QLFDSRVVLELOLGDGHpGLVSRUDVSHoDVGRWULQ{PLRGH
PRGRTXHVHMDPDFUHVFHQWDGDVDSHQDVXPDTXDQWLGDGHSDUGHSHoDVGR
PHVPRWLSRPDVFRPVLQDLVFRQWUiULRVGHPRGRTXHHPXPDVLPSOLÀFDomR
GHSROLQ{PLRVXPDSHoDDQXOHDRXWUDÀJXUD
)LJXUD5HSUHVHQWDomRJHRPpWULFDGDIDWRUDomRGHFRPR$OJHSODQ
Fonte: Pasquetti, 2008, p. 35
$QWHVGHFRQFOXLUHVWDVHTXrQFLDGHDWLYLGDGHVJRVWDULDGHUHVVDOWDUTXHVH
desenvolvidas em sala de aula, tais atividades devem ser acompanhadas de
GLIHUHQWHVIRUPDVGHUHJLVWURGRVFRQFHLWRVTXHHVWmRVHQGRWUDEDOKDGRV
&RPRMiFRPHQWHLDQWHULRUPHQWHH[LVWHDQHFHVVLGDGHGHPHGLDomRHGL
UHWLYLGDGHGRSURIHVVRUSDUDTXHRPDWHULDOPDQLSXOiYHOVHMD´FRQYHUWLGRµ
HPRXWUDVUHSUHVHQWDo}HVHVHMDUHJLVWUDGR1RFDVRDOpPGDUHSUHVHQWDomR
ÀJXUDOGHVHQKRHGDDOJpEULFDRDOXQRWDPEpPSRGHH[SUHVVDUVHQDOtQJXD
natural, argumentando sobre como foram realizadas as atividades.
(QWmRTXDOpVXDRSLQLmRVREUHRVHQFDPLQKDPHQWRVGHVWDVHTXrQFLDGH
DWLYLGDGHV"&RPRYRFrQDFRQGLomRGHSURIHVVRUGH0DWHPiWLFDTXHRE
MHWLYDXWLOL]DUHVWHUHFXUVRGLGiWLFRFRPRXPPHLRDX[LOLDUQRHQVLQRGHVXD
GLVFLSOLQDDYDOLDDVHTXrQFLDSURSRVWD"$FUHGLWDTXHDWLYLGDGHVGLGiWLFDV
TXHUHODFLRQDPUHSUHVHQWDo}HVDOJpEULFDVFRPUHSUHVHQWDo}HVJHRPpWULFDV
contribuem, de forma positiva, para a aprendizagem do aluno?
138
O Algeplan
ATIVIDADES
Aula
11
1HVWDDWLYLGDGHSURSRQKRTXHYRFrHODERUHXPDSURGXomRWH[WXDOD
SDUWLUGHUHÁH[}HVTXHHQIDWL]DPGRLVDVSHFWRVRSULPHLURVHUHIHUHDXPD
DYDOLDomRGRVHQFDPLQKDPHQWRVDSUHVHQWDGRVQRVWUrVPRPHQWRVHPTXHR
$OJHSODQIRLXWLOL]DGRFRPRXPUHFXUVRGLGiWLFRSDUDDX[LOLDUDDSUHHQVmRGR
FRQFHLWRGHIDWRUDomRGHSROLQ{PLRV(RVHJXQGRVHUHIHUHjIRUPDFRPR
RVOLYURVGLGiWLFRVHQIDWL]DPDIDWRUDomRGHSROLQ{PLRVHDVSRVVLELOLGDGHV
GHDOLDUR$OJHSODQjVDWLYLGDGHVSURSRVWDVQRVPDQXDLVGLGiWLFRV
&20(17É5,262%5($6$7,9,'$'(6
3DUD GHVHQYROYHU HVWD DWLYLGDGH p QHFHVViULR UHYHU RV LQGLFDWLYRV
GRV3DUkPHWURV&XUULFXODUHV1DFLRQDLVGDV6pULHV)LQDLVGR(QVLQR
Fundamental (BRASIL, 1998) e realizar pesquisas em livros e
SHULyGLFRVGDiUHDGH(GXFDomR0DWHPiWLFD $OpPGLVVRpSUHFLVR
UHDOL]DUXPD LQYHVWLJDomR QRV OLYURVGLGiWLFRV GH 0DWHPiWLFDGRž
DQRSDUDYHULÀFDUFRPRRWHPDIDWRUDomRpHQIDWL]DGRQHVWHVPDQXDLV
GLGiWLFRVHSRGHFRPSOHPHQWDUVHXVHVWXGRVDSDUWLUGDOHLWXUDGRVWUrV
WH[WRVLQGLFDGRVQRLQtFLRGDDXOD(OHVFRQWrPPXLWDVLQIRUPDo}HVD
esse respeito do uso do Algeplan.
&RPR VXJHVWmR DLQGD DSUHVHQWR DOJXPDV TXHVW}HV HVSHFtÀFDV TXH
SRGHPVHULQFRUSRUDGDVFRPDVVXDVLQGDJDo}HVSHVVRDLVHSRGHUmR
DX[LOLiORQHVWDDWLYLGDGHGHUHÁH[mR
4XDODWHQGrQFLDPHWRGROyJLFDGD(GXFDomR0DWHPiWLFDTXHRULHQWRX
RVWUrVPRPHQWRVDQWHULRUHV"
3DUDTXHHVWDWHQGrQFLDPHWRGROyJLFDVHFRQÀUPHHPVDODGHDXOD
qual seria o papel do professor? E do aluno?
4XDODUHOHYkQFLDGRPDWHULDOGLGiWLFR$OJHSODQQHVWDDWLYLGDGH"
4XDLV VmR DV YDQWDJHQV H GHVYDQWDJHQV GH UHODFLRQDU H[SUHVV}HV
DOJpEULFDVFRPUHSUHVHQWDo}HVJHRPpWULFDVGDVSHoDVGR$OJHSODQ"
3DUDTXHRDOXQRDSUHHQGDRFRQFHLWRGHIDWRUDomREDVWDTXHHOH
manipule o Algeplan?
e SRVVtYHO DOLDU R $OJHSODQ jV SURSRVWDV DSUHVHQWDGRV QRV OLYURV
GLGiWLFRVGH0DWHPiWLFDGRžDQRGHIRUPDDRUJDQL]DUDWLYLGDGHV
GLGiWLFDVHQYROYHQGRHVWHVGRLVUHFXUVRV"
139
/DERUDWyULRGH(QVLQRGH0DWHPiWLFD
&21&/86®2
Por meio das atividades desenvolvidas nesta aula, conclui-se que o
$OJHSODQSRGHVXEVLGLDUDWLYLGDGHVGLGiWLFDVTXHYLVDPH[SORUDUFRQWH~GRV
PDWHPiWLFRV FRPR H[SUHVV}HV DOJpEULFDV GR SULPHLUR H VHJXQGR JUDXV
PRQ{PLRVHSROLQ{PLRVUHVROXomRGHHTXDo}HVGRSULPHLURJUDXHIDWRUD
omRGHWULQ{PLRVGRVHJXQGRJUDX,VWRGHVGHTXHVHMDPSURPRYLGDVDo}HV
SDUDDOpPGDPDQLSXODomRGR$OJHSODQHPTXHRDOXQRVHMDRULHQWDGRGH
PRGRDUHJLVWUDUVXDVFRQFOXV}HV
1RHQWDQWRDVVLPFRPRRXWURVUHFXUVRVGLGiWLFRVR$OJHSODQSRVVXL
DOJXPDVOLPLWDo}HVSRLVSRUH[HPSORSDUDWUDEDOKDUFRPDIDWRUDomRpQH
FHVViULRIRUPDUXP´UHWkQJXORµFRPDVSHoDVTXHUHSUHVHQWDPRWULQ{PLR
SRGHQGRVHQHFHVViULRID]HU´FRPSHQVDo}HVµXVDQGRSDUHVGHSHoDVTXH
VHFDQFHODP'HVWHPRGRPDVSHoDVXVDGDVUHSUHVHQWDPDSHQDVVLWXDo}HV
HPTXHRWULQ{PLRGRVHJXQGRJUDXSRVVXLLQWHLURVHSRGHVHUWUDQVIRU
PDGRHPXPDH[SUHVVmRGRWLSRFRPLQWHLURV
RESUMO
2$OJHSODQpXPUHFXUVRGLGiWLFRTXHSRGHVHUXWLOL]DGRSDUDDX[LOLDU
RSURIHVVRUDHQVLQDUFRQWH~GRVPDWHPiWLFRVGHQWUHRVTXDLVVHGHVWDFDP
H[SUHVV}HVDOJpEULFDVGRSULPHLURHVHJXQGRJUDXVPRQ{PLRVHSROLQ{
PLRVUHVROXomRGHHTXDo}HVGRSULPHLURJUDXHIDWRUDomRGHWULQ{PLRVGR
VHJXQGRJUDX3DUDWDQWRpQHFHVViULRTXHVHMDPHVWDEHOHFLGDVUHODo}HVHQWUH
DVFDUDFWHUtVWLFDVItVLFDVGHFDGDSHoDGR$OJHSODQHH[SUHVV}HVDOJpEULFDV
XWLOL]DQGRDVGLPHQV}HVGDVSHoDVHDVXDUHVSHFWLYDiUHD$SyVRFRQWDWR
FRPRPDWHULDOGLGiWLFRpSUHFLVRSURPRYHUDGLVFXVVmRHDVLVWHPDWL]DomR
dos conceitos por meio do registro das atividades, utilizando diferentes
IRUPDVGHUHSUHVHQWDomRGRVFRQFHLWRVTXHHVWmRVHQGRWUDEDOKDGRV3DUD
TXHHVVDVDWLYLGDGHVVHMDPUHDOL]DGDVpQHFHVViULRTXHRSURIHVVRUDWXHFRPR
XPPHGLDGRUFRQWULEXLQGRSDUDTXHRHVSDoRGDVDODGHDXODVHWUDQVIRUPH
HPXPDPELHQWHGHLQYHVWLJDomR
35Ð;,0$$8/$
1DSUy[LPDDXODYDPRVXWLOL]DUD7RUUHGH+DQyLSDUDDERUGDUFRQWH~
GRVPDWHPiWLFRVGRWHPDHVWUXWXUDGRUÉOJHEUD%5$6,/
140
O Algeplan
$872$9$/,$d®2
Aula
11
6HUiTXHYRXFRQVHJXLUDGRWDUR$OJHSODQFRPRXPUHFXUVRGLGiWLFR
SDUDIDYRUHFHUDFRPSUHHQVmRGRVDOXQRVHPUHODomRjIDWRUDomRGHH[
SUHVV}HVDOJpEULFDV"
5()(5È1&,$6
%5$6,/0LQLVWpULRGD(GXFDomRHGR'HVSRUWR3DUkPHWURV&XUULFXODUHV
Nacionais0DWHPiWLFD%UDVtOLD0(&6()
%5$6,/0LQLVWpULRGD(GXFDomR6HFUHWDULDGD(GXFDomR0pGLDH7HF
QROyJLFD3DUkPHWURV&XUULFXODUHVGR(QVLQR0pGLRFLrQFLDVGDQDWXUH]D
PDWHPiWLFDHVXDVWHFQRORJLDV%UDVtOLD0(&6HPWHF
+(//0(,677(5$*$/9®205HVROYHQGR)LVLFDPHQWH,QRevista
GR3URIHVVRUGH0DWHPiWLFDn. 38, SBM, 1998.
FANTI, E. L.; KODAMA, H. M. Y.; MARTINS, A. C.; CUNHA, A. F. C. S..
(QVLQDQGRIDWRUDomRHIXQo}HVTXDGUiWLFDVFRPRDSRLRGHPDWHULDO
FRQFUHWRHLQIRUPiWLFD. < http://www.unesp.br/prograd/PDFNE2006/
artigos/capitulo2/fatoracao.pdf> .Acesso em: 10 nov. 2009.
PASQUETTI, C. 3URSRVWDGHDSUHQGL]DJHPGHSROLQ{PLRVDWUDYpV
de materiais concretos 7UDEDOKR GH &RQFOXVmR GH &XUVR 56 85,
ERECHIM, , 2008
141