NGHIEN ciiniQ REN LUYEN Kl NANG THICH NGHI TRI TUE CHO HOC SINH TRONG DAY HOC MON TOAN THEO PHUUNG PHAP PHAT HIEN VA GIAI QUYET VAN DE I Mddlu Lf thuylt phit sinh nhin thde do nhi ble hpe J Plaget (18[.]
NGHIEN ciiniQ REN LUYEN Kl NANG THICH NGHI TRI TUE CHO HOC SINH TRONG DAY HOC MON TOAN THEO PHUUNG PHAP PHAT HIEN VA GIAI QUYET VAN DE ThS NGUYEN VIET DUNG CO auan dai difn ^ Gilo due vl Dio tjo t^l TP Hi Chf Minh I.Mddlu khin v l If luin hay thgc tiln m i hp thly d n thilt v i ed nang vupt qua, nhung phli trii qua mdt qui trinh tich cgc suy nghi, hoat ddng biln ddi ddi tupng di kiln tao kiln thdc mdi nhlm biln ddi so nhin thdc da cd de dupe so dd nhin thde mdi cao hon, II qua trtnh TNTT Bac diem eda day hpe phit hiln v i (5QVB li"dlt mdt tinh hudng ed vln d l , chd khdng phli thdng bio tri thde dudi dang ed sin" [3, tr 189]; HS phli hoat ddng chd ddng, sing tao d l phit hiln va GQVB chd khdng phli nghe giio viln (GV) giing mdt eleh thu dpng; qua dd phit trien tu v i hinh thinh cic ki ning hoat dpng nhlm thich nghi vdl d e tinh hudng dlt "Tu sing tao ludn ludn bit dlu blng mdt tinh hudng gpi vln dl" (Rubinstein 1960, tr.435) Nhu vly, TNTT day hpc phit hlln v i GQVB l i qui trinh phit hiln hole thim nhip vln d l td mdt tinh hudng gpi vln d l Chd t h i tilp thu v i y thde dupe vln dl, timg budc xlm nhap vio vln d l se djnh phuong hudng v i chit lupng eda sg nd lge tim tdi tri tue, v i vl vly, nd gidp chd t h i djnh hudng v i dilu chinh tiln trinh tu di tim dch GQVB Qui trinh tim gill phip ddi hdi chd t h i xac djnh rd mdi liln h i gida d i da bilt v i ell d n tim, td dd huy dpng tri thde thfch hpp d l biln ddi van di elu true lai van di v l tifng budc gill thfch dupe vln d l Trong qua trinh gill quylt vln dl, chd t h i thudng phli sd dung d e hoat dpng (HB) biln ddi ddi tUpng, HB xlm nhap ddi tupng, HB tflu dng, chfnh l i d e HB thidt nghi cda ngudi hpc Trong day hpe phit hlln v i GQVB, hpe l i qui trinh thich nghi, hda gill dctinh hudng mdi NhU vly, PPDH ddi hdi cao sg nd lge el nhin d l gill quyet dupc elc khd khin nhlm vupt qua "chudng ngai thfch nghi" [7, tr.38] Chudng ngai thich nghi l i nhdng chudng Trong bii vilt niy, chdng tdi trinh biy mdt sd bilu ngai su pham, l i khd khan, rio d n v l nhan thdc cda hi|n cda ki ning thich nghi tri t u i (TNTT) nhin td gdc HS bdc Id qua trinh tim tdi, phit hiln kiln thdc mdi tic ddng su pham eda GV qui trinh day dd d e phuong phip day hpe (PPDH) tieh cgc S^thfch nghi trf tuf nhin theo gdc dd phirong hpc Vile khlc phgc chudng ngai thich nghi rln luyen cho HS d c ki ning vln dung kiln thdc vao d e tinh phip day hpc phit hiln v l gill quylt van d l Day hpc phit hiln v l gill quylt vln d l (GQVB), hudng mdi, d c h nhin mdt ddi.tupng, mdt van d l dudi theo Nguyin Bl Kim l i gpi vln d l v i gidp hpe sinh nhilu gdc dd khlc nhau, thdng qua hIB dong tida va GQVB "Hnh hudng vln d l hay tinh hudng gpi vln d l diiu Ung blng eleh xlm nhip vio ddi tupng, biln ddi l i mdt tinh hudng gpi eho hpe sinh (HS) nhCing khd ddi tupng, d u {rde lai bii toin Lf thuylt phit sinh nhin thde nhi ble hpe J Plaget (1896-1980) dua khoing thip niin 50 t h i ki XX Pualpraisse nhin x i t "Td dly eho tdi cudi t h i ki, tdi e ring t i m If hpc t h i gidi chi vile khai thic rilng d e y tudng cda J.Piaget thi edng khdng lim hit duoc" [4,tr.373] Oi md t l suthlch nghi ciia chd thi, J Piaget sddung khli nilm gdc sinh hpe: Ddng hda (Assimilation), Diiu Ctng (Accommodation), Sacdu haySadd (Schema) v i Cdn bdng (Equilibrium) [4, tr.390] Ddng hda II chd t h i t i l l|p lal mdt sd d|e dilm cda khich t h i dupe nhan thde dua chdng vio d c so dd d l cd Diiu Ung l i qui trinh thfch nghi eda chd t h i ddi vdi nhdng ddi hdi da d^ng cda mdi trudng, blng eleh t i l lip nhdng die dilm cda khich t h i vio d i da cd, qua dd biln ddi clu trde d l ed, tao elu trde mdi, din din trang thll d n blng Cdn bdng l i su tg cin blng cda chd thi, l i qui trinh cin blng gida hai qui trinh ddng hda v i dilu dng Sg mit d n blng (Desequilibrium) eung l i mat d n blng gida hai qui trinh niy Trong ddng hda, d e kfeh thfch dupe c h l biln cho phd hpp vdi sg Ip dlt eda elu tnJc Cdn diiu Ung, chd t h i budc phli thay ddi clu trde d l ed eho phd hop vdi kfeh thich mdi Bdng hda l i tdng trudng dilu dng la phdt ttiin Cduttdenhdn thUc l i nhdng kinh nghiim m i chd t h i tfeh luy dupe moi giai doan nhit tfnh Sa l i mdt elu trde nhin thdc bao gdm mdt Idp d e thao tic gidng theo mdt trit tg nhit djnh Bd II mdt t h i thdng n h i t bin vdng d e ylu td d u thinh (de thao tie) ed quan h i vdi Sadd l i khli nilm then chdt li thuylt phit sinh tri t u i v i t h i hlln rd nhit tu tv/dng cda J Plaget v l bin chit td chdc bin chat eda thao tic tri tui Sfia4-THAlU 1/2012*21 O NGHliN CUU Nhu vly, "fdn tgi mdt vdn dt day hpc phit chudng ngai l i tCrdiln b i t kl elc trpng tuyln hiln v i GQVB v i "ehUdng nggi thich nghi" ed mdi quan chi ddng quy m i khdng l i dudng vudng gdc xudng h i biln chdng, nghia l i ddng trude mdt tinh hudng, HS chi dupe tdn tgi mdt vdn di tdc l i "tdn tai ft nhit mdt phin td cda khich t h i m i HS chUa bilt v l eung chua cd tay mpt thuit gill d l tim phin td dd" [3, tr.1871 Biy eung chfnh l i chudng ngai thfch nghi, Nhu vly, sg TI^TT nhin theo gdc dp PPDH phit hiln v i GQVB l i rln luyin ning xlm nhip vio vln d l v i hda gill nd mdt d c h khoa hpc giup ehu t h i cd t h i liln tudng nhdng d c h suy nghi, tim tdi, du doin, d l xult gii thuylt kilm nghiim qui trinh khIm phi b'i thdc mdi Mot s6 vf du v l r l n luyen ki ning TNTT theo phuong phip day hoc p h i t hien va GQVO mat ddi diln cda td diln Be khlc phuc chudng ngai niy, HS phli xlm nhip v i o ddi tupng, "kit ndi" tfnh chit trpng t i m v i tinh chit vudng gdc d l diiu Cmg nhlm GQVB - Xit trudng hgp ddng quy: Gll sd IA', IB', IC, ID' l l n lupt vudng gdc vdl d c mat ddi diln vdl d e dinh A, B, C D (A', B', C, D'lln lupt l i trpng t i m eua d e mat (BCD), (ACD), (ABD), (ABCJ) Ta cd: IA' (BCD) => IA' CD, IB' ± (ACD) => IB' CD, nin CD± (IA'B')=>CD1A'B'(1) A; B' lln lupt trpng t i m tam gllc BCD, ACD nin Vf du 1: Sau hpe chuong III, Quan h i vudng gdc- Hinh hpc ning cao Idp 11, GV cd t h i nlu bii t i p sd 29, tr 55.§2, ChUong II, SBT HH ning cao 11: Cho MA' MB' MB~ MA~3 => A'B'//AB(2) Td (1), (2) suy CD i AB tUdiin ABCD, chCmg minh rdng cdc dogn thdng di qua Chdng minh tUOng tu, ta ed AD BC, AC BD, mdi dlnh vd trgng tdm cda mat ddi diin ddng quy tgi BC DA mdt diim G Id trgng tdm eda nidiin ABCD Vly, mdt td diln, d e dUdng thing di qua Sau hudng dan b i i tap niy, GV cd t h i gpi y trpng t i m eda d e mat eda td diln v i vudng gdc vdl d l HS die bilt hda ABCD la td diln dlu thi cdc d e mat dd ddng quy thi td diln ed tinh chit d e cap dogn thdng di qua mdi dlnh vd trgng tdm eda mat ddi canh ddi vudng gdc vdi (td dien trge tim) diin (trpng tuyln) cd tinh chat gl? Biy l i mdt tinh - Xit trudng hgp tU diin true tdm: hudng cd v l n d l Blng d c h t i l lap nhdng kiln thdc Gil sd ABCD i i t d dien trge t i m A', B', C, D' lln v l djnh nghia hinh chdp d l u v i phip chilu vudng lupt l i trpng t i m d c tam gllc BCD, ACD, ABD, ABC gdc l l n mat phlng, HS ed t h i ddng hda kiln thdc v i Chdng minh ring eae dudng thing vudng gdc vdl chdng minh dupc td diln d l u d e doan thing d e mat phlng (BCD), (ACD), (ABD), (ABC) lln lupttal di qua mdi dinh v i trpng t i m eda mat ddi diln thi A;B',C', D'ddngquy(*) vudng gdc vdl mat ddi diln dd Bii toin niy tdn tai mdt tinh hudng ed van dl, Nhu vly, ABCD l i td diln b i t kl thi AA', BB' hay chudng ngai la ehua cd thuit giii d l chifng CC, DD'ddng quy tai trpng t i m G (vdi A', B'C, D'lln minh dUdng thing n l u trln ddng quy Tuy nhiin, lupt II trpng t i m eua d e mat ddi diln vdi d e dinh A, • chijfng minh t r l n HS ed t h i phit hiln dupe 6, C, D) Ble b i l t ABCD l i td diln d l u thi AA', BB' td diln bat kl ABCD vdi A', B; C, D' l l n lUpt l i CC; DD'ed t h i m tfnh chit l i AA', BB', CC, DD'vudng trpng t i m elc tam gllc BCD, ACD, ABD, ABC thi de gdc vdi mat ddi diln GV cd t h i khai quit hda de gpi canh X'Y'//XY dd X Y v i X'Y'tUong dng l i elc tinh hudng cd v l n d l : TUdiin phdi ed tinh chdt gl di cap canh cda t d diln ABCD v i A'B'CD' Td dly suy cdc dudng thdng di qua trgng tdm cda ede mat eda tU duoc t d d i l n ABCD v i A'B'CD'cd d e cap mat phing diin vd vudng gdc vdi cdc mat dd ddng quyl B i y l i tinh hudng gpi vln d l r l t li thd vdl HS Tuy nhiin, HS gap khd khan l i chua cd thuat gill, bdl gap phli il •KHOAHpcGUODVC song song vdi nhau: (B'C'D')//(BCD), (A'B'C')//(ABC), (A'D'O/AACD), (A'B'm//(ABD) VI ABCD l i td diln NGHIEN CUU C B i l u gpi lln mdi quan he gi vdi gll thilt trge t i m n i n A'B'CD' cung l i mdt td diln trge t i m Do dd, vile chdng minh dudng thing (*) ddng quy cda bii toin d l cho? d i n d i n vile chdng minh dudng cao eua td diln Sg diiu Ung gidp HS phit hiln rlng,°khi A'B'CD"ddng quy Vly, HS da xlm nhip vio bii toin v i thgc hiln DC = AB = -QR,DB = AC=-PR, sg diiu Ung di ed t h i ciu trde lai bii bll toin chdng minh (*) blng bii toin sau: ChUng minh rdng tU diin true tdm, cdc dudng cao cda tU diin ddng quy Biy l i bii t i p sd 20, tr.103,§3, Chuong III, SBT HH ning eao 11 Td dly, chdng ta cd bii toin sau: Diiu kiin dt cd vd dd dimdt tUdiin ed cdc dudng thdng di qua trgng tdm eda ede mat eda tU diin vd vudng gdc vdi cdc mat dd ddng quy Id mdt tUdiin true tdm Vi dv 2: Tinh thi tich cda khdi tUdiin ABCD cd cdc cdp egnh ddi bdng nhau:AB = CD = a, AC=BD = b, AD = BC=c BC=AD=-PQ ^ Td dly, HS ed the de dang bilt dupe tam giie AQR dudng trung tuyln AB blng mdt nda canh dly QR, do tam gllc AQR vudng tai A Tuong tg, d e tam gllc ARR APQ vudng tai A Nhu vly, td diln APQR cd mat vudng tai A, dd t h i tich V=-AP.AQ.AR Bii toin niy tdn tai mdt vln d l hay mdt chudng D l ding suy ngai, dd l i HS khdng xic dinh dupe vj tri chin dudng cao v l td mdt dinh nio dd eua td diln; chin dudng cao khdng thudc dilm nio d l b i l t Bilu niy ed nghia II HS khdng t t i l ddng hda kiln thde d l tinh dudng eao hinh td diln v i I p dgng edng thde tfnh t h i tfeh Khdng ddng lai d dd, GV cd t h i gpi y d l HS phit hinh chdp (trong trudng hpp niy t d d i l n l i hinh chdp hiln v i GQVB blng d c h gill khlc: chudng ngai l i tam gllc) VI vly, HS phli diiu Ctng di thay ddi clu trde khdng tim ducic dudng cao eda td diln, de khlc bii toin blng d c h xlm nhip vio ddi tupng, biln ddi phue ehUdng ngai nhd sd dung mdi liln h i gida ddi tupng d l lim bdc Id sg khiim khuylt v l kiln thdc td diln v i hinh hop blng eleh: Ngoai tilp td diln v l ki ning v i cin thilt phli bd sung, dilu chinh hoin ABCD bdi hinh hdp AMBN.PCQD (AP//Ma/BQ//ND) thi|n tri thdc ki ning nhlm tham gia GQVB niy sinh Do tinh chit td diln ed d c cap canh ddi blng nin de ding chdng minh hinh hop AMBN.PCQD II hinh hop chd nhat Hoat ddng diiu Ung elu trde lal bii toan: Tinh mdt phin t h i tfeh eda hinh hdp chd nhat AMBN.PCQD cd d c kfeh thudc AM = x; AN = y, AP=z.Khidd: B l thgc hiln GQVB niy sinh ed t h i thue hiln dudi nhilu hlnti thdc nhUng tinh hudng niy cd t h i phdi hpp hinh thdc "thly trd v l n d i p " k i t hpp vdi "ngUdi hpc hpp tie* phit hiln v i GQVB [3,tr.190] GV ed t h i gpi y cho HS ttnh chit quen thudc: tam gllc PQR gpi B, C, D l l n lUpt l i trung d i l m QR, RP, PQ thi BC, CD, DB l i elc dUdng trung binh cda tam gllc PQR Vf du 3: Cho gdc tam diin Oxyz Trin cdc tia Ox, Oy, Oz Idn lugt Idy cdc diim A, B, C (khde 0) Mdt mat edu (T) ndm gdc tam diin thda mdn cdc diiu kiin sau: 1) (T) ndm ngodi tUdiin 2) (T) tiip xue vdi bdn mat phdng chUa cdc mdt eda tU diin OABC Trin mat phdng (ABC) Idy cdc diim D,E,Fsaoeho: ADBC = AOBC (D vd A ndm khde phia ddi vdi ddi vdi bdBC) ' AECA = AOCA Cf vdBndm khdc phia ddi vdi ddi vdi bd AC) AFAB = AOAB (F vdCndm khdc phia ddi vdi SdU-THANfi 1/2012 • 23 C NGHI£NC(IU ddivdibdAB) Ggi M Id tiip diim cda (T) ddi vdi mat (ABC) ChUng minh rdng M Id tdm dudng trdn ngogi tiip tam gidcDEF 1) (T) ndm ngodi hinh chdp 0,A^A^ A„2) (T) tiip xue vdf cdc mat phdng ehUa cdc mdt cda hinh chdp Xet cdc diim B, B, , B„ ddng phdng cho /SOfi^, = A B | A ^ , (vdi j € , n , trUi vd + thi B j vd A j ndm vi hai nCfa mat phdng bd A j A j ^ , ; Ggi Mid tiip diim cda (T) vdi ( A , A A ) ChUng minh rdng M Id tdm dudng ttdn ngogi tiep da gide B,B, B„ Tuong tg nhu Idi gill eda bii toin gdc tam diln, HS cd t h i dde lap phit hiln v i GQVB nhu sau: Trii hinh eda hinh chdp xudng mat Bii toin niy tdn tai hai vln d l II hinh chilu cda t i m mit clu (T) xudng elc mat phlng (ABC), (Oxy), ( A , A A J T a e d : O ^ B j ( i = 1, n ) Goi (Oyz), (Ozx) khdng t h i xle djnti dupe vj trf cu thi Cic C j , C j , , C^ lln lupt II d e tilp diem cda (T) vdi dilm D, E, F ehua ed mdi liln h i gl vdi dilm M Biy II d e ehUdng ngai phli vUpt qua GV ed t h i djnh cicmit (OAiAj) ; (OA2A3), , (OA„A,) hudng HS tim dupe mdt doan thing nio dd blng MD, ME, MF hole tim dUpc doan thing blng Tacdnged: C ^ M = » O C i = BjlVl Td gll thiet suy ra: m i chdng lln lupt blng MD, ME, MR Td g l l thilt (2) HS cd t h i nghi d i n phucmg phip trii hinh v i diiu OC, = OC2 = = o c „ Ung gill bii toin nhu sau: Trii hinh td diln lln mit phlng (ABC) thi td hay B,M = BjM = = B„M dilu kiln 2), ta cd AOAB^AFAB, AOBC->ADBC, AOAC-»AEAC Khio nghiim Gpi N l i tilp dilm eda (T) vdi (Oxy) (N thudc mat Khio nghiem sU pham dupe tiln hinh tai phlng (Oxy)) Trudng THPT Phd Biln, Bdng Thip 0,11 t i m eda mat elu (T) Tdgll thilt da cho, suy Thdi gian thgc hiln: thing nam hpc 2011ra N nlm ngoii AOAB, M nlm AABC 2012 Ldp thgc nghiim: IIA,, Idp ddi chdng: 11 Ay HS d l ding chdng minh dUcK: Trinh dp Idp tuong duong nhau, Idp 11A,ed40 HS AO,NH = AO,MH => NH = MH => AAHN = AAHM v i Idp 11 Aj ed 38 HS Ndi dung elc t i l t khio nghiim Do dd AN = AM nhlm tao tflu kiln di eho hpe sinh phit hiln v l Tuong tg AHNB = AHMB => BN BM GQVB: bilt ddng hda v i diiu Ung di cd sa dd nhin Bilu niy chdng td qua phip tril hinh thi N->M, thdc mdi cao hon nhlm thich nghi 0->F=>NO=NF Kit q u i khio nghiim cho thly: Idp dupe khio Hoin toin tuong tg nlu ta gpi P, Q l i tiep diem nghiem hdng thd hpc tap hon, bll kilm tra cd kit cda (T) ddi vdi (Oyz), (Ozx) tH OP = MD, OQ = ME qui cao hon Bac b i l t sd HS bilt "diiu Ung" di hda M i ON = OP = OQ (vl (T) tilp xue vdl mat gill nhdng tinh hudng d l phit hiln thdng qua sU (Oxy), (Oyz), (Ozx) lln lUpt tai N, P, Q) Suy MD = biln ddi, dilu ehinh sadd nhin thde d l ed eho phii MF = ME (dpem) Vly M l i t i m dUdng trdn ngoai tilp hpp vdl tinh hudng d l tao sa dd nhan thde mdi tam gllc DEF cao hon ed ti I I cao hon Bilu dUpc t h i hiln d Td bii toin niy, ta ed bii toin tdng quit nhu sau: bang dlnh g l l kit qui bii kiem tra 45 phdt d Idp khio nghiim v i Idp ddi chdng (Blng 1, trang 55) Vfdu4: Cho'gde da diin 0X^^.\ Trin OXJdn lugt Idy Cd t h i khang tfnh, ndi dung nghiin cdu cda chdng tdi v l vile hinh thinh v i phit triln ki ning cdcdiimAi eho ehung i^ng phdng ( i = , n ) TNTT eho HS, nhlm ning cao chit lUpng day v i hpc Xit mdt cdu (T) tdm O, ndm ttong gdc da diin vd thda d l thu dupe mdt sd kit qui theo ylu elu d l t (Xem tiip trang 55) 24 •KHOAHQCOAODVC THUC T I I N G I A O DUC ^ 21/2011/TT-BLDTBXH ngdy 29/7/2011 Quydmhchuang Uy ban nhin dan tinh Binh Duong, Quy hogch trinh khung trinh dd trung cdp nghi, chuangttinh ddo tao nghi cho lao ddng ndng thdn din ndm 2020, khung trinh dd eao ddng nghi cho mdtsd nghi thudc2011 cdc nhdm nghi Cdng nghi ky thudt ca - Mi thudt Ung dung - Ki todn, kiim todn - Cdng nghi thdng tin, SUMMARY 2011 The author suggests that the training of technic Bd Lao ddng -Thucmg binh v i XI hdi, Thdng tu laborers to cater to industrial sectors in Binh Du 11/2011/TT-BLDTBXH ngdy26/4/2011 Quy djnh Chuang province is of significant importance Therefore, a trinh khung trinh dd trung cdp nghi, chuang trinh from groups of measures for ensuring internal qua khung trinh dd cao ddng nghi cdc nghi thudc nhdm the measures for strengthening vcxational ttaini nghi edng nghi ky thudt, 2011 admission as well as for ensuring external traini Dg i n Giio dgc Ki thuit v i Day nghi, Mor sd quality may help address the shortage of technic thudt ngCr cabdn thudng dung linh vuc dgy nghi, laborers both inside and outside industrial parks Tdng ege Day nghi, 2004 present •lUIIIIIIIIIIIIIIIIIIMIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIUIIIIIIIIIII Illlllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll llllllll I Illlllllllllllllllllllll REN LUYEN Kl NANG THICH NGHI TRI TUE (Tiip theo trang 24) Bdng 1: Ddnh gid kit qud bdi kiim tra didp khdo nghiim vd Idp ddi ehUng Ldp Ldpddichijrngl1A2, 38 HS Ldp thgc nghl|m 11A140HS Ollm 10 Sd lugng 0 10 0 nie 0 10.5 21 26.4 237 10.5 7.9 0 Sd lugng 0 0 10 1110 0 0 7.5 22.5 20 25 17J 7J Kit luin CIc PPDH tich cgc dd ed phUdng phip phit hlln v i GQVD ddi hdi GV v i HS phii ludn ludn chd ddng, tfch ege, sing tao, qua dd nhlm r l n luyin eho HS elc ki ning phin tfch, tdng hpp, khii q u i t hda, trdu tupng hda thdng qua elc hoat ddng l i l n tudng, kiln tao, khim p h i , p h i t hiln v i GQVB Qui trtnh n i y ludn g i n l i l n vdi q u i trinh thich nghi vile hinh t h i n h ede sa dd nhin thde mdi eao hon, dd chfnh l i nhdng bleu hiln eua ki ning TNTT dugc t h i hiln qua cich t i l p cin cac PPDH tich cgc Phan Trpng Ngp, Nguyin Bdc Hudng (2004), Cdc II thuyit phdt triin tdm II ngudi, NXB Bai hpc SU pham Hi Ndi Bio Tam, L l Hiln Duong (2008), Tiip cdn cdc phuang phdp dgy hge khdng truyin thdng dgy hgc todn d trudng dgi hgc vd trudng phd thdng NXB Dal hpc Su pham Hi Ndi 6.0ioTam,TrlnTrung (2010), To chUe hogt ddng nhdn thdc dgy hgc mdn Todn d trudngttunghg thdng, NXB Oai hpe SU pham Ha Ndi Ll Van "Tiln, Trln Anh Dung (2012), Cdc quan niim vi ehUdng nggi dgy hge todn d trudng ph thdng Tap chf Gilo dge sd 285, kl 1-5/2012, trang 3841, Hi Ndi TAILIEUTHAMKHAO 1.06 van Cudng (2011), Mdt sd dgng hogt ddng SUMMARY nhdn thUe todn hgc chu yiu cda hge sinh theo quan Currently, teaching practices which use the diim thich nghi tri tui, Tap ehi Giio due sd 256, ki methods of identifying and solving issues are be 2(2/2011), trang 50-51, H i Ndi Nguyin Vilt Dung (2011), Vdn dung quan inaeasingly explored, contributing to the enhanc diim thich nghi tri tui nghiin eUu vd dgy hge quality of teaching in schools In this article, th Todn d trudng phd thdng, Tap ehi Gilo dgc sd 254, ki author has presented the training of some intelligent adaptable skills for students through the teaching 2-1/2011, trang 45-46, H i Ndi NguySn Bl Kim (2008), Phuang phdp dgy hgc mathematics subject at upper secondary level us the methods of Identifying and solving issues mdn Todn NXB Bai hpc SU ph^m s6H-TlUtN6V2t12>SS ... khung trinh dd trung cdp nghi, chuangttinh ddo tao nghi cho lao ddng ndng thdn din ndm 2020, khung trinh dd eao ddng nghi cho mdtsd nghi thudc2011 cdc nhdm nghi Cdng nghi ky thudt ca - Mi thudt... trung cdp nghi, chuang trinh from groups of measures for ensuring internal qua khung trinh dd cao ddng nghi cdc nghi thudc nhdm the measures for strengthening vcxational ttaini nghi edng nghi ky... hinh thi N->M, thdc mdi cao hon nhlm thich nghi 0->F=>NO=NF Kit q u i khio nghiim cho thly: Idp dupe khio Hoin toin tuong tg nlu ta gpi P, Q l i tiep diem nghiem hdng thd hpc tap hon, bll kilm tra