MOT SO NANG LUC SU PHAM OAC THU CUA GIAO VIEN TOAN 6 TRUGNG PHO THONG o TS TRANVIETCUONG* Nhu chOng ta da bl^t, m$t s6'''' nflng li/c (NL) su phqm cOa gl6o viSn (GV) n6l cfiung nhu NL chdn ifean; NL ihl^[.]
MOT SO NANG LUC SU PHAM OAC THU CUA GIAO VIEN TOAN TRUGNG PHO THONG o N hu chOng ta da bl^t, m$t s6' nflng li/c (NL) su phqm cOa gl6o viSn (GV) n6l cfiung nhu: NL chdn ifean; NL ihl^t hjp vd Iri j n Idial k l hoqch dqy hqc; NL lcl€m tra, ddnh gid; NL hqp tdc; NL sdng tqo; NL glao tllp; NL gidl qu>^t cdc vd'n di ndy sinh thi/c tiSn dqy hqc; NL tu bdi dudng, ndng cao trinh dd chuydn mdn vd nghl$p vy; NL i/ng dvng cdng ngh$ thdng tin dqy hqc Trong bdi vllt ndy, chOng tdi d l xudt mdt sd ndng li/c su phqm (NLSP) cd tfnh chdt di)c tho cua G V Todn d trudng phd thdng (FT) NL ndm v a n g k i l n thuc If lu^n vd phuong phdp dqy hqc (PPDH) mdn Todn NL ndy duqc i h l hl|n d mdt sd ddc dllm sou: - Ndm vOng ndl dung, chuong Irlnh, sdch gido khoo vd cdc tdl ll$u hudng ddn gidng dqy mdn Todn d trudng FT, cd khd nang ly bdi duSng d l ndng coo trinh dd; - Hllu bllt sdu rdng v l todn hqc ndl chung vd ndl dung chuong trinh mdn Tbdn d FT ndl riing, cd khd nang phdn Keh, ddnh gid cdc mqch kiln thuc theo quon dllm cda Todn hqc cao cdp, cd khd ndng tv todn hqc nhdt Id khd ndng gidl todn {Vfdv: GV cdn ndm vOng kiln lhi>c CO sd chuong trinh mdn Todn d PT, cd khd ndng vdn dyng cdc kiln thdc cOo Todn coo cdp d l dp dvng vdo Todn so cdp, hudng dSn hqc sinh (HS) dudng khdm phd tri thuc mdt); - Hilu b i l l v l If ludn vd PPDH mdn Todn, vdn dvng duqc kiln thuc dd vdo qud trinh Id chdc cdc hoqt ddng nhdn thdc cho HS; - Tfch hqp duqc kiln thiic v l todn hqc, v l If ludn vd PPDH mdn Todn vdi cdc bd mdn khoa hqc khdc vdo dqy hqc mdn Todn d trudng PT {VI dt^: GV cd i h l xudt phdt 10 mdt sd bdi todn vd Hnh hudng thyc Hin cudc sdng d l dan ddt HS khdm phd cdc Iri IhOc todn hqc) D i e d NL ndy, ddl hdi G V phdi cd cdc kr ndng nhu: kr ndng tim kllm, Iva diqn vd xd If ihdng tin; kr ndng tv hqc, tv ngliiSn oiu Tap chi BIJB due s6 tu i • t/aom TS.TRANVIETCUONG* NL gidi todn NL gidl todn Id d^c dllm tdm If cd nhdn cua ngudi ddp ung duqc ylu cdu cOa hoqt ddng gidl todn vd Id dilu kl^n cdn ihilt d l hodn thdnh tdt hoqt ddng gidl todn, Id khd ndng dp dvng Hin trinh phdt hl|n vd gidl quylt vdn d l vdo gidl cdc bdi Idp todn nhdm dqt duqc kit qud cao sou mdt sd budc thuc hl|n Mdt ngudi duqc col Id cd NL gidi todn nlu ngudi dd ndm vQng Iri thdc todn hqc, cd kTnang, kfxdo cdc hoqt ddng gidi todn D l cd NL gidi todn, GV cdn rin l u y ^ cdc kr nang nhu: phdn Heh, idng hqp, khdi qudt hda, VI dv: Cho hinh chdp S.ABCD, cqnh SC cd dd ddl bdng x, cdc cqnh cdn Iqi cd dd ddl bdng a Chung minh rdng SA SC {hinh I) GV cd rill hudng ddn HS khol ihdc bdi todn iheo nhilu khfo cqnh d l cd duqc cdc cdch gidi quylt khdc Cdch (chdng minh dudng ihdng ndy song song vdi mdt dudng ihdng vudng gdc vdi dudng thdng kkj): Gqi O , I Idn luqt Id trung diim cda AC vd SC, la cd Dl X SC vd Bl X SC - > SC ± (BDI)->SC±OI(1) Mdt khdc: / / SA (2) TO (1) vd (2) suy ra: SAlSC CdcAZVlSAvdAC cOng thudc mdt phdng (SAC) nin ASBD = &tSD - dCBD (c.cc), suyraSO - A O - O C = 1/2AC(3) TO ( ) , to suy A S A C vudng Iqi S hay HInhl SAJ.SC NL td chdc cdc hoqt ddng nhdn ihdc dqy hqc todn d trudng VT NL ndy boo gdm cdc thdnh td: - Khd ndng *Ti«li(l|ib(u luqng hdo, ddc bl|t hdo, khdl qudt hdo; - Bllt blln ddl ddi tuqng, quy k;i v l quen d l chO t h i nhdn thuc cd thi xdm nhdp vdo ddl tuqng cdn khdm phd W d v : Cho hinh chdp S.ABCD cd ddy ABCD Id hinh vudng cqnh a, SA vudng gdc vdi m^t phdng (ABCD) vd SA - o Gql M i d mdt dllm bdt klh-ln doqn BC, K Id hinh chilu cOo S lln DM Tim auy Heh diim K M thoy ddl trin BC(ton/)2) D l glup HS gidl quylt Hinh bdi todn ndy, GV cd t h i sd d v n g phdn m i m GeospaeW hd Irq qud H-lnh id ehue cdc hoqt ddng nhdn thOc cho HS dqy hqc nhu: -Hoqtd^ng 1: Tim hllu bdi todn HS quan sdt hinh vS, vi hinh vd xdc djnh cdc y l u id cd djnh, y l u td dl ddng; - Hoqt ding 2: Tim hudng gidl quylt vdn d l : -I- Dv dodn qu9 Heh: GV eho diim M thoy ddl vj h-f d i n mdt sd diim ddc bi|t, HS auon sdt vj trf cOa dllm K Bdng hvc quan, HS dv dodn qu^ Heh dllm K thudc mdt dudng hdn; -f Chuyin v l xit bdi h>dn hinh hqc phdng: d l thudn k?! cho qud h-lnh quon sdt vd gidi bdi todn, GV cd i h l tddn riing mft phdng (ABCD) khdi hinh chdp S.ABCD Dva vdo hinh v« vd gid thill cda bdi todn, HS d i ddng nhdn thdy AK D M TO dd, HS dv dodn duqc qu^ Heh cOo bdi todn (Quy Heh diim K M di ddng h i n BC Id cung nhd O D cOa dudng h i n dudng kfnh A D , vdi O ACnBD); - Hoqidfng 3: Thvc hi|n cdc budc gidi bdi todn (sou da dv dodn duqc qu^ Heh; Hoqt d^g 4: Minh hqo qu» Heh Sou HS xdc dinh duqc qu^ Heh, G V eho diim M ehqy H-ln doqn thdng BC v i (JS Iqi vlt cOa diim K HS quon sdt hye quan hinh dnh quy Heh h i n mdn hinh vd kit ludn qu^ Heh dllm K hodn todn trOng vdi kit qud (te chl duqc hoqt ddng (Wn/i 3) NL phdi hqp g i a ode loql hinh h/ hoqt d f n g tim Idi, phdt h i | n tri thdc mdi Cdc loql hinh hr nhu: tu p h i phdn, h; bi|n ehung, tu logic, tu sdng Iqo khdng hodn hsdn tdeh bi$t, ddl Idp nhou md nd ed tdc dvng hd trq Idn nhou N l u G V bllt phdl hqp ' cdc ksqi hinh h; ndy mdt Hinh cdch hqp thi ngodi mye dieh h-ong bj kiln thuc cho HS, GV edn ed thi rIn luyin h-f thdng minh, sdng tqo vd khd nang phdt hi|n vdn d l cho HS V! dv: Vdi cdng thdc V = j « J i C ) (B Id dl^n tfch ddy, h Id chilu eao), HS ed t h i Hnh duqc t h i Heh cOo h> di|n d i u , rill Heh H/ d l | n vudng Nhung vdi bdi hxSn: u GV ngoy ti> cdn ng6l h&n g h l nhd trudng, hjqng coo nhung cd mdl liln h| chdt chs vdi ihye Xdc qnh dOng nhffng NLSP d$c thO cOo ngudi Hin vd ed Ong dyng rdng rai htHig nhllu llnh vyc GV Todn sS gdp |:^an Keh ci/c vdo vl$c htnh khoa hqc Chang nqn, xll bdi todn sou: Diiu tra thdnh vd r^n luy$n cdc phdm ch^t, NLSP cho chin nudl bd htjyin X cho thd'y d ddy sinh vidn Todn.Q nhiiu ndm ejua, H li tdng ddn hdng ndm Id 2% Hdl sau ndm, bl^ s6 luqng ddn bd thSng Irt TAI U(u tham khdo duqedhuyin rtdyban diuvaongdy 1/1/^12 TrAn COng Duong "D(5i m(H nOi dung, phuong Id 18.000 thi ddn bd si dqt tdl boo nhiiu thOc b6i dudng gifio vi6n d^y toin trung hgc co sd d&p ihig chuong trinh, s&cb giio khoa mM" Lu^n i n Ivdl H li tdng ddn Id 2%l? Thdng thudng, bdi todn trin duqc gidi nhu ti€n si Giio dvc hoc, 2008 sou: Sou mdl ndm, sd ddn bd d huy|n X tang P N GOnObOlin Nbai« phdm chtft tAm U cda nguM thim Id: 18.000 x 2% = 3dO (con); Tdng sd ddn gUo viCn NXB Gido dftc, H 1977 bd sou nam Hid nhdt Id: 18.000 -f 3dO - 18.3dO D i o Tam - Trin Tning Ttf chitc hoft d^ng nhfn (con); Sou nam, sd ddn bd Idng riilm Id: 18.3d0 tbitc troi^ df y hf^ mOn Todn d trufrng trung bfc X 2% = 3d7 (con); Tdng sd ddn bd sou ndm HiO p h i thOng NXB D(ii hoc suph^m, H 2010 hai Id: 18.3d0 -I- 3d7 = 18.727 (eon); Sou ndm, Nguyfin Thi Thanh Huyin - Trihi Vi^t Cudng "Nftng ddn bd Iql tdng Ihim sd Id: 7 x % - Ivc su ph^m nguM giio vi£n" T^p chi Gido d^c, z6 375 (con); Nhu vdy, tdng ddn bd cudi nam ihO 211/2009 SUMMARY ba Id: 18.727 + 375 = 19.102 (con) In th^ pcper, we propose some cc^xtctty with the Bdi hldn duqc gidi xong Tuy nhlln, nlu ylu edu Hnh sd ddn bd sou nhilu ndm hon rill edeh particular c^KJrocterlstk^s ofttte nKittiematks teoc Determining exactly the capacity of teacher Hnh iOng budc nhu H^n sS khd cdng phu vd cd educators, partlcukxiythosespeclfk:c