Текст
                    
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llIeHlI1I KBa}J,paTHblX ypaBHeHIIM II T. n,), JIlIllIb Te HaBbIKII, KOTOpbIe 6bInH }J,O- Be.aeHbl }J,O aBTOMaTII3Ma IInlI coxpaHII- nil TeOpeTlIqeCKYIO OCHOBY, Ha}J,onro OCTanlICb }J,eMCTBeHHbIMII (npIIBe}J,eHlIe no,n:06HbIX qneHOB, YMHO)KeHlIe MHoro- qneHa Ha O}J,HOqneH, YMHO)KeHlIe MHO- roqneHOB, anroplITMbl pellieHIIR ypaB- HeHIIM), 3" MHorlIe BbmYCKHIIKII He 06Ha- p lInFl YMeHIIR npOBO}J,IITb caMOCTOR- TenbHO npOCTeMllIIIe MaTeMaTlIqeCKlIe paCCY)K}J,eHIISI, TaK, He BcnOMHIIB <l>op- Mynbl nnOIl\a}J,1I nOBepXHOCTII npRMO- yronbHoro napannenenlIne}J,a, HcnbITY- eMbIe He CMornH caMII BbIBeCTII ee. 4, OTCYTcTByeT Y BbmycKHIIKOB II caMoKoHTponb, KplITlIqeCKOe OTHOllIe- HHe K CBOIIM }J,eMcTBIIRM, BblCKa3bIBa- HIIRM, BOT TaK, A, C. TIYIlIKIIH HanlI- can KaK 6bI Me)K}J,Y npOqlIM, HO cOBep- llIeHHO TOqHO: Mbl Bce Y'IlmlfCb nOHeMHory 4eMY-Hlf6Y.l\b If KaK-Hlf6Y.l\b. «lIeMY-HH6Y}J,b» - 3TO nporpaMMa, «KaK-HII6Y}J,b» II <<llOHeMHory» - 3TO, BbIpa)KaSlCb cOBpeMeHHbIM Sl3bIKOM, Me- TO}J,IIKa H OpraHlI3aQIISI 06yqeHIIR, Bo- npoca «3aqeM?» MbI 3}J,eCb He BH}J,IIM, CBOIIM nORBneHlIeM 3TOT Bonpoc 06R3aH TaKOM KOHQenQlI1I 06Il\ero cpe}J,Hero 06- pa30BaHIISI, nplI KOTOpOM o,n:IIHaKOBO Ha- }J,O yqlITb BceMY II Bcex, }J,a)Ke Tex, KTO He XOqeT, II Tex, KTO He MO)KeT, .51 HIIKor}J,a He «60RnCR» IIHCneKTO- pOB, MeTO}J,IICTOB, a}J,MIIHIICTpaQIIII - nYCTb XO}J,RT II CMOTpRT, qTO SI }J,enalO, HIIKor}J,a He nOHHMan TaK Ha3bIBaeMbIX «OTKPbITbIX ypOKOB», 1I3 KOTOpbIX }J,e- nalOT cneKTaKn II , KaK Bo06Il\e MO)KHO npRTaTb OT nlO.aeM CBOIO .aeRTenb- HOCTb? CeKpeTOB Y MeHSI HIIKaKIIX HeT, pa60Ta Hallia 60nbllIaSl, Bcer}J,a }J,ena- ellib qTO-HII6Y}J,b He TaK. B OQeHKax, KOTopbIe }J,OBO}J,lInOCb MHe BbIcnYIlIII- BaTb, 6bIBano MHoro BKYCOBoro, II, K CO)KaneHIIIO, MHe TaK II He }J,OBenOCb nocnYllIaTb cepbe3Horo npo<l>ecclIo- HanbHoro pa360pa XOTR 6 O}J,Horo 1I3 MOIIX ypOKOB, Ho He B nOM }J,eno" KaK OTqlITaTbCR B CBoeM pa60Te nepe}J, }J,e- TbMII? KaK B}J,OXHYTb CMbIcn B IIX e)Ke- }J,HeBHYIO II npaKTlIqeCKII 0}J,Ho06pa3- HYIO }J,eRTenbHocTb? KaK-To nonyqaeTCR, qTO, OCTaBaSlCb TonbKO B paMKax npe}J,MeTa, SI He Mor caM ce6e OTBeTIITb Ha 3TOT Bonpoc, BCR MOR 3HeprlIR nplI 3TOM, II HepB- HaSl, II <l>1I3IIqeCKaR, nOXO)Ke, yxo}J,lIna «B CBIICTOK»" HeMy}J,peHO, qTO TaKoe TonKOBaHlIe clITYaQlI1I nplIBO}J,lInO K nOCTOSlHHOMY npo<l>ecclIoHanbHOMY }J,IICKOM<l>OpT TIoRBlInlICb II HeBecenbIe CIIMnTOMbl - OLlHa)K}J,bI nplIllInOCb 6paTb 610nneTeHb nOqTII Ha MeCRQ" KaK TYT He BcnOM- HIITb A, n. lIexoBa - O}J,IIH 1I3 ero nepCOHa)KeM, cTapbIM ne}J,aror, 3anFl- can: «)],eTII! KaKoe 6na)KeHCTBO nony- qaTb neHclIlO!» Ho, KaK rOBopRT, «nORBlInCR CBeT B KOHQe TYHHenR»" BbIXO}J, Bpo}J,e 6bl HallienCR B nonbITKax pellIlITb Ha ypo- Kax MaTeMaTIIKII He TonbKO II }J,a)Ke He CTonbKO 3a}J,aqlI 06yqeHIIR no npe}J,Me- TY, CKonbKO 06pa30BaTenbHbIe, B qaCT- HOCTII BocnlITaTenbHbIe. B caMoM 06- Il\en nOCTaHOBKe pellieHlIe 3TIIX 3a}J,aq, KaK II nlO6bIx 06Il\ene}J,arOrlIqeCKIIX 3a}J,aq, HeO}J,H03HaqHO" MHoroe 3aBIICIIT OT TonKOBaHIIR TaKIIX nOHRTIIM, KaK «06pa30BaHlIe», «06yqeHlIe», «BocnlI- TaHlIe», «npoCBeIl\eHlIe», «pa3BIITlIe», a 3TII TonKOBaHIIR He e}J,IIHCTBeHHbI. ()],nR MeHR: 06pa30BaHIIe = npOCBeIl\e- HlIe (3HaHIIR) + 06yqeHIIe (YMeHIIR) + BocnlITaHlIe (QeHHOCTII); npenO}J,aBa- HlIe = npOCBeIl\eHlIe + 06yqeHlIe,) Ha npaKTIIKe BocnlITaHlIe MO)KeT II}J,TII B pa3HbIX HanpaBneHIISlX" rOBO- pRT 06 IIHTenneKTe, MlIpoB033peHIIII, xapaKTepe, HpaBcTBeHHocTlI, CaM nepeqeHb He nonOH, II nplI- Be}J,eHHbIM nopR}J,OK - ycnoBHOCTb. Tpa}J,IIQIIOHHO Ha nepBoe MeCTO B nOM nepeqHe Hallia ne}J,arorlIKa CTaBlIna BocnlITaHlIe MlIpOB033peHIISI, nplIqeM HayqHOrO, eIl\e TOqHee - }J,lIaneKTIIKO- 5
MaTeplIanlICTlIqeCKoro" TIplIBneKaTenb- Ha TOqKa 3peHIIR 0 TOM, qTO HanlICan B" OBqlIHHIIKOB B «KOPHRX }J,y6a»: B AHrnlI1I B nyqllIlIX qaCTHbIX IlIKOnaX Ha nepBOe MeCTO CTaBRT BOCnlITaHlIe XapaKTepa, MO)KHO }J,enaTb OC06bIM aK- QeHT Ha BOCnlITaHlI1I TBOpqeCKOrO Ha- qana nlIqHOCTII, B qaCTHOCTII Ha ee CO- QlIanbHOM aKTIIBHOCTII. 11 HaKOHeQ, HIIKaKIIX pe3ynbTaToB B 06pa30BaHIIII He }J,06IITbCR, ecnlI y yqeHIIKa HeT He- 06XO,n:IIMOM MOTIIBaQlIlI, KOr}J,a HaqlIHaellib }J,BlIraTbCR B HO- BOM HanpaBneHIIII, OTKpbIBalOTCR II HO- BbIe roplI30HTbI, CaMa nOCTaHOBKa 3a- }J,aqlI - BOCnlITaHIIe yqeHIIKa B npoQec- ce npenO}J,aBaHIISI KOHKpeTHoro npe}J,MeTa - BPR}J, nil HOBa, XOTR II Ha- qana 3HeprlIqHO 06CY)K}J,aTbCR B HallieM ne}J,arorlIKe TonbKO B nocne}J,Hee BpeMR" 113}J,aBHa 1I3BeCTHO Be}J,b: «YqIITenb, BocnlITaM yqeHIIKa», He «HayqlI», qTO TaK eCTeCTBeHHO, a «BocnIITaM»! lITO )Ke CTOIIT 3a 3TIIM «BocnIITaM»? BocnlITaM, KaK R nOHIIMalO,- ne- pe}J,aM }J,eTRM qaCTIIQY caMoro ce6R, CBoero nOHIIMaHIIR npe}J,MeTa, nOHIIMa- HIIR CMbIcna 06pa30BaHIIR, B qaCTHOC- TII MaTeMaTlIqeCKOrO, nepe}J,aM CBOII nplIRTIIR II HenpIIRTIIR, nepe}J,aM CBoe OTHOllieHlIe K pa60Te".. 11 TYT, cOBep- llIeHHO RCHO, HIIKaKIIX MeTo}J,lIqeK II 6bITb He MO)KeT, Bce, qTO R XOqy ne- pe}J,aTb }J,eTRM, IIMeHHO nepe}J,aTb, a He nepenaCOBaTb,- TO «pa3YMHoe, }J,06- poe, BeqHoe» - cYIl\eCTByeT TonbKO KaK qaCTb Moero «R» - II HIIKaK IIHa- 'Ie, .51 KaK «06yqaTenb» - npOBO}J,HIIK, HO SI KaK «BocnIITaTenb» - reHepaTop, A Tenepb BepHeMcR K nlIHIISlM B BocnlITaHlIlI, 11 TYT, r}J,e, Ka3anOCb 6bI, Bce RCHO C TOqKII 3peHIIR TeOpeTlIqeC- KOM ne}J,arorIIKII, CKonbKO MOHorpa<l>IIM HanlIcaHO, rnaBHeMllIee - nlIqHOCTHOe BnlIRHlIe, MlIpoB033peHlIe, K nplIMepy, He B KHII)KKaX CII}J,IIT, a B c06CTBeHHOM ronoBe" K TOMy )Ke ero He npO}J,IIKTY- ellib II Ha }J,OM He 3a}J,allIb, qT06bI BbI- yqlInlI K cne}J,ylOIl\eMY ypOKY. 6 KaK MO)KHO 6bInO BocnlITbIBaTb y pe6eHKa OTBeTCTBeHHOCTb 3a C06CT- BeHHYIO pa60TY, ecnlI no 60nbllIOMY cqeTY ee He 6bInO y MeHSI caMoro? Bo- npoc OTHIO}J,b He PIITOplIqeCKIIM, TIOqTII Bce rO}J,bI, qTO SI npopa6OTan B IlIKone, y Hac 6bIna e}J,IIHaSl nporpaMMa, e}J,IIHbIM yqe6HIIK, e}J,IIHbIe 3K3aMeHbI, e}J,IIHbIM 06R3aTenbHbIM ypOBeHb 06pa30BaHIISI II e}J,IIHbIe Tpe60BaHIIR K OQeHKaM, a Te- nepb BBO}J,RTCSI CTaH}J,apTbI, Ho ecnlI Bce e}J,IIHO H 06R3aTenbHO, TO y MeHR HeT B03MO)KHOCTII BbI60pa, a ecnlI HeT ee, TO caMOCTORTenbHOCTblO H TeM 60nee OTBeTCTBeHHOCTblO }J,a)Ke He naXHeT, I1x HeT no CYTII, TaK KaK HeT Cepbe3HOrO nlIqHOrO pellieHIISI, 11 B caMOM }J,ene, nOCMOTplIllib Ha ny6nHKaQIIH yqlITeneM B MeTO}J,lIqeCKIIX C60pHHKax - II qTO BIIJ1lIllIb? 113 ro}J,a B ro}J, 06C }J,eHlIe BeCbMa qaCTHbIX 3a}J,aq npeno,n:aBaHIISI, TIonblTKH BbIHTH 3a 3TII npe}J,enbI, MRr- KO rOBopR, He nplIBeTCTBOBMIICb, He- Kor}J,a MOM Konnera nonyqlIn BbIroBop OT a}J,MIIHlIcTpaQIIII 3a npeno}J,aBaHlIe B IlIKone IIHTerpanbHoro HCqIICneHIIR, KOTopoe He BXO}J,IInO TOr}J,a B nporpaMMy, MHe eIl\e nOBe3no - R c}J,enan MHoroe 1I3 Toro, qTO XOTen, Ho TeM He MeHee BOT }J,Ba nplIMepa H3 MoeM npaKTIIKlI, 113 HeKOTopbIX co06pa)Ke- HIIM MHe 6bInO y}J,06HO B cTapllIlIx Knaccax qepe}J,oBaTb 3aHRTIISI anre6poM II HaqanaMII aHanH3a C 3aHSlTIISlMII reo- MeTplIeM - He}J,enR anre6pbI, 3aTeM He- }J,enR reoMeTplI1I HnH }J,3)Ke TaK: }J,Be He}J,enlI anre6pbI, 3aTeM }J,Be He}J,enlI reOMeTplIlI. A}J,MIIHHCTpaQIIR He B03pa- )Kana B nplIHQlIne, HO pHan R }J,on- )KeH 6bIn 3anonHRTb nO-CTapOMY, T" e, no CTaH}J,apTHOMY pernaMeHTY 3aHR- TIIM, Kor}J,a Ka)K}J,y1O He}J,enlO eCTb ypo- KII KaK anre6pbI, TaK II reOMeTplIlI. )],0- BonbHO 6bICTpO R nepeCTan co06pa- )KaTb, KY}J,a H qTO Ha}J,O 3anlICbIBaTb. EIl\e nplIMep, TIpeno}J,aBaHlIe IIH- <l>opMaTIIKII B nocne}J,HlIe ro}J,bI. )],IIC- QlInnlIHa 6bma }J,nR MeHR, no CYIIleCTBY, HOBaSl, nplIllInOCb }J,onro BHIIKaTb B ,n:e-
no" Kor}J,a nplIllina HeKOTopaSl SlCHOCTb, SI BHIIMaTenbHO 1I3yqlIn IlIKonbHbIM yqe6HIIK no}J, pe}J,aKQlIeM A. TI. EpllIOBa II B. M" MOHaxoBa, To, qTO B HeM Ha- nlIcaHO, Mano COOTBeTCTBOBano TOMY, qTO SI nOHRn, TIplIllInocb rOTOBIITb }J,e- TRM COBceM }J,pyroM KYpC" HIIKTO nocne MOIIX 06'bRCHeHHM He B03pa)Kan npOTIIB npe,n:naraeMOM TpaKTOBKII, HO B )KypHan MHe nOCOBeTOBanlI }J,enaTb 3anlICII B CO- OTBeTCTBlI1I C pa3}J,enaMII yqe6HIIKa, J1nlI B03bMeM MOTIIBaQlIlO, TIO-MO- eMY, HeB03MO)KHO B03}J,eMCTBOBaTb Ha nORBneHlIe II pa3BIITIIe IIHTepeCa K Ma- TeMaTIIKe,ecnlI 3aTYX c06CTBeHHbIM IIHTepeC K HeM" HeB03MO)KHO nepe}J,aTb IlIKonbHIIKY pa}J,ocTb OT pellieHIIR TPY}J,- HOM 3a}J,aqlI, ecnlI caM Y)Ke 3a6bIn, qTO 3TO TaKoe, TIplI BceM nplI TOM He06xo}J,IIMO KaK MO)KHO 'IaIl\e OIl\YIl\aTb ce6R B «1lIK)'pe yqeHIIKa»" )],enaeTCR 3TO BeCb- Ma npOCTO - BnonHe }J,OCTaTOqHO, ec- nil B ronOBe «CII}J,IIT 3a}J,aqa», K KOTO- pOM He 3Haellib KaK H nOJ1CTYnIITbCR, a Ha CTone ne)KIIT MaTeMaTlIqeCKaSl KHII- ra, B KOTOpOM HenOHRTHa Y)Ke nepBaSl CTpaHIIQa, TIepcOHa)K KIIHo<l>lInbMa «)],O)KIIBeM }J,O nOHe}J,enbHIIKa» - nO)KlInaR yqlI- TenbHIIQa - )KanOCTnIIBO npOlI3HOCIIT 'ITO-TO BpO}J,e: - J1M OT}J,aellib QenlIKOM caMoro ce6S1, a OHII.." (IIMeR B BII}J,y yqeHIIKoB), - )],eno He B 3TOM,- OTBeqaeT rnaBHbIM repOM <l>lInbMa"- A eCTb nH Y Hac, qTO OT}J,aTb? 3a }J,OCTOBepHOCTb He PyqalOCb, HO CMbIcn TOqeH, 1.2. «ACYl) Y'U1TEnSi OCMbIcnlIBaSl CBOIO }J,eRTenbHOCTb yqIITenR-npe}J,MeTHIIKa B III Kone, R nplIllien K BbI}J,eneHIIIO Tpex ee COCTaB- nRIOIl\IIX: YCTaHOBKH, CHCTeMbl II aT- Moc$epbl- «ACY», KaK R IIX Ha3bIBalO caM }J,nR ce6R, COCTaBIIB a66peBIIaTYPY B 06paTHoM nopSl}J,Ke, .51 cpa3Y )Ke xo- qy oroBoplITb, qTO 3TII COCTaBnRIOIl\lIe, KOHeqHO, He a6cOnlOTHbI. He IICKnlOqe- HO, qTO, KaKOB yqlITenb, TaKOBbI II CO- CTaBnRIOIl\lIe" Eonee Toro, HaBepHRKa eCTb pa3YMHaSl pa60Ta TeOpeTlIqeCKoro xapaKTepa, B KOTOpOM BCR }J,eRTenb- HOCTb yqlITenR pa3nO)KeHa no nono'I- KaM" )],a)Ke ecnlI TaK, }J,aBaMTe npe}J,no- nO)KIIM, qTO ne}J,arOrlIqeCKaSl TeoplIR QeHHa }J,nR Hac B nepBYIO Oqepe}J,b TeM, qTO MbI CMOfnlI 1I3 Hee nplICBOIITb II ynoTpe6IITb B }J,eno. B KOHQe KOHQOB qTO-TO 1I3 3TOM TeoplIlI HaqlIHaellib no- cTynlIpoBaTb }J,nR ce6R, KaK HeqTO HC- xO}J,Hoe" J1 CTaHOBIITCR He TaK Ba)KHO - B npaKTlIqeCKOM OTHOllieHIIII, - OTKY- }J,a 3TH nocTynaTbI nORBlInlICb, rnaB- Hoe, qT06bI OHII pa60TanlI, (MHorlIe MOil KonnerlI II npo<l>ecclIoHanbHbIe MaTeMaTIIKII BeCbMa CKenTlIqeCKII OTHOCRTCR K TeOpeTlIqeCKOM ne}J,arorlI- Ke, 51 yno}J,06nlO IIX IIH)KeHepy, KOTO- pbIM nonaraeT, qTO 1t=3,14, Ha XY}J,OM KOHeQ - 3,1416, a Bce OCTanbHoe OT nYKaBoro.) Tenepb R nOCTapalOCb paCKpbITb cO}J,ep)KaHlIe «ACY», KaK R ero nOHII- MaIO" YCTaHOBKa OTpa)KaeT TY qaCTb QeneM II QeHHOCTeM, KOTopaSl nplIHRTa yqlITeneM }J,nR nOBce}J,HeBHOM }J,eRTenb- HOCTII" B KOHeqHOM CqeTe Bce 3TO CKa- 3bIBaeTCR Ha Tex IInlI IIHbIX CBOMCTBax ero yqeHIIKOB, ecnll nOHIIMaTb 3TII CBOMCTBa }J,OCTaTOqHO IlIlIpOKO" KOH- KpeTHo: 3HaeT yqeHIIK 0 reoMeTplI1I JI06aqeBCKOro HnlI HeT, 3aBIICIIT He CTonbKO OT nporpaMMbI, CKonbKO OT YCTaHOBKII yqlITenR, a eIl\e rny6)Ke- OT ero IIHTepnpeTaQlI1I QeneM II QeH- HOCTeM 06pa30BaHIIR, Pa3nlIqaTb QenlI II QeHHOCTII, no- MoeMY, He06xo}J,IIMO. HanplIMep, MO)K- HO nOCTaBIITb nepe}J, MaTeMaTlIqeCKIIM 06pa30BaHIIeM TaK)'1O Qenb - HayqlITb IllKonbHIIKa CTpOIITb rpa<l>IIKII HeCnO)K- HbIX 3neMeHTapHbIX <l>YHKQIIM" K QeH- HOCTRM )Ke pa3YMHO OTHeCTII TaKlIe CBOMCTBa yqeHIIKa, BbIRBneHlIe KOTO- pbIX np06neMaTlIqHO, a TO H HeB03- 7
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