Математика фанини ўҚитишда замонавий ёндашувлар ва инновациялар модули бўйича

Tannu udopcuiap: Ahumu3m, momeMU3M, (pemeuiU3M, mosuh, uicimcihjiuk, 3apdyuimuujiUK, 6yddu3M, xpucmuamuK, ucjom.


1.1. ^HHHHHr ByKygra KejiHinnra gonp KOHueHunsuiap
Kumunap TypMym Tap3ugaru Ba KaMHiiT xaeTugaru y3rapHHmap hhcohh^thuhf guHHH hhiohh, 3tTHKog xaKuga xaM MatuyM 3BonK>^HiIHHHr k>3 6epumura ca6a6 6ynraH. AHa my acocga Typuu guH maKuapu K>3ara KenraH. Byuap ypyr-Ka6HnaHHjHK (u6THgoHfi) guHjapu, mhmhh gHHuap Ba KaxoH guHjapu. Illy 6HuaH 6upra guHjap Ma3MyH Ba Moxuirrara Kypa nonuTeucTHK (KynxygojHK) Ba MoHoTeucTHK (^KKaxygonuK) guHnapura 6yjHHagH.
X,O3Hpga KaxoH gHHuapu 6ynnHmH 3apgymTHHjHKKa cafiepaMH3 axouucHHUHr 130 MHHrra jikhhh, ByggaBunnuKKa 800 mhuuhoh, XpucTuaHjuKKa 2 Munnuapg, Hcuom guHura 1,3 MunnuapgH 3tTHKog khuhluh pacMHH MatnyMoTnapga Kafig 3THjraH.
Humhh aga6ueTnapga KenTHpunumuHa, H6THgoHH ogaMHHHr khcmohhh, $H3HonorHK, aca6-3HgoKpuH, 6hojofhk, ncuxonoruK Ba 6oiHKa coxanapu y3ura xoc xycycuirraapra 3ra 3gu. By Ha(aKaT yHHHr xaeTH Ba (aonuaTHra (etn-aTpo^ura, 6ajKH yHHHr (HKpnam gapaKacura, Kynnu xaaKoHnaHumura, TacaBByp 3Tumura, MycTaxKaM xaKHKHH eKH coxTa MaHTHKHH KOHyHHirraapHHH Kam( 3Tumura Tatcup KypcaTgu. Y u6THgoHH 6ynca xaM aKgnun, (HKp K>pHTyBHH, MatuyM TaxuHura Ko6H!HaTnH, KoHKpeT xojaTga (HKp ropHTa onagHraH, gouMHH (aonHaTHga ByKygra KeuraH aManun TaKpH6anapHra 3ra 6y.j[raH ogaM 3gu. Bhjhm MHKgopHHH HHxoiiTga O3nHrH Ba yHH goHMHH TaKOMHnnamH6 6opumu, ongHHrH TypraHxaeTgaH KxpKyB Ba yHH eHrumru 6ynraH HmTHnHm, aManHH TaKpH6aHHHr y3jyKcu3 KynafiumH, Ta6uara Kynjapra MyTjOK To6ejHK Ba yHgaH KyTHjumra Tupumumu, apo( MyxHT HHKHKnHKnapH Ba yjapHH eHrum Ba xaKO3O. ByjapHUHr 6apnacu myHra ojh6 6opgHKH yHHHr hjk KagaMHgaH Ha(aKaT MaHTHKHH Tana6HaHnHK, 6ajKH xhcchh-hkthmohh, xaenHH-(aHTacTHK MyHoca6araap Keju6 HHKgu. 20-50
KHHiugaH uGopaT GyiraH khhhk KaGuia MexHaT ^aoiuaTH KapaeHH (ob, o3yKa H3iam, Kypoi amam, Typap kohhh KHxo3iam, oiobhh caKiam Ba xaKO3O.) ^ohmhh hktmohh MyHOcaGaTiap, ouiaBufi ypyrgomiHK anoKanapH Ba xogucaiap KapaeHuga hhkox anoKanapH, yiuM ymGy KaMoaHHHr pyxoHufiiapH rafipHTaGuHH KyHiap Ba BoKeiHK ypTacHgarH raipH oggHi aioKaiap TyrpHcHga HGTHgoHi TacaBBypiap MycTaxKaMiaHuG GopraH. Peai xaeT GuiaH GupraiHKga y3ra gyHe MaBKygiurH, MapxyMiap TupuKiap xaeiura Tatcup 3Ta oium Tyrpucugaru roaiap K3ara Keigu.
HGTugouH ogaM y3 KapuHgomiapuHH KyMumga Maxcyc MapocuMiap MatiyM TafieprapiuK ygyMiapura aMai KHiap 3gu. )KacagHH kh3hi MHHepai GyeK GuiaH Koniap, yHHHr eHura KyHgaiHK 3xthCk GyKMiapu 3eG-3HiiHaraap, acGoG-aHKOMiap Ba xaKO3O KxHuiap 3gu. ByiapHHHr Gapu y3 KaMoa at3OiapHHH ga^H 3TaeTraH KaMao oxupai MaBKyg 3KamiHrH xaKuga uKTHgouii TacaBBypiapra 3ra GyiraHHgaH gaioiaT GepagH.
ApxeoioruK H3naHHmnap KapaeHuga ep K>3HHHHr Typiu KofiiapHgarH ropiapga uGTHgoufi ogaM TOMOHugaH HH3HiraH pacMiap TonuiraH cyparaapHHHr KynHHiurH ob caxHacu, ogaM Ba xafiBOHiapHUHr TatBupiapu, xafiBOH TepucuHH KufiraH ogaMiap, apuM ogaM Ba apuM xafiBOH Kue^acugarH MaBKyg cyparaapugaH HGopaT GyiraH. By cypaTiap gaioiaT KHigHKH y3iapH Ba xaiBoHiap ypTacHgarH TaGHHi Ba raipHTaGHHi aioKaiap MaBKygiHrH xaKHgarH TacaBBypiapra 3ra 3gHiap. By GHiaH GHpra MapxyM aKgogiapHHHr pyxiap cexpiH ycyiiap GHiaH xafiBOHiap xyiKura Tatcup 3thih HMKOHuaTura 3ra geG GHnapgHnap. By TacaBBypiap TupuKiap GuiaH MapxyMiap ypTacugaru BOCHTaHuiap atHH Typiu xuigaru cexprapiap Ba maMOHiap ^aoiuaTHHUHr KeiuG HHKumura caGaG Gyigu.
HGTugouH ogaMiap xo3upru gaBpgaru cuHrapu Tyia HiaiomaHraH guHufi cucTeMara 3ra GyiMaraH. Yiapga GomiaHruH guHufi TacaBBypiapruHa GyiraH xaioc. ^HHHHHr aHa myHgafi uGTHgoufi maKiiapura TOTeMH3M, aHHMH3M, $eTumu3M, moMaHH3M xaMga Marua ( cexprapiHK ) KaGuiap Kupagu. ^HHHHHr Gy maKnnapH ypyrHHiuK Ty3yMH HiaKmaHaeTraH gaBpga nafigo GyiraH.
ToTeMH3M - HHgemap THiuga " O TOTeM" cy3ugaH oiHHraH GyiuG, " yHHHr ypyru" geraH MatHOHH GHigHpagH. ByHga KaguMru 3aMOHgaru ypyr - KaGuia at3OiapHHHHr MyafiaH Gup xafiBOH, ycuMiuK GuiaH rafipHTaGufi aiOKacu, aKHHiuru, koh- KapuHgomiurH GyiraH geG, xafiBOH Ba ycHMnHKnapHH MyKaggaciamTupumgaH uGopaTgup. X,ap Gup KaGuia Ckh ypyr y3 mapouTHHu xaMga HMKOHHaTiapuHH Ky3ga TyTuG, Ga3H xafiBOHiapHH OBiaG Ba yiap xaKuga eiapiu MatiyMOTiapra 3ra 3gu. ByHgaH xafiBOHiapHH aKHHgam Guium yiapHHHr ypyr GuiaH aKHHiurH, KOH-KapuHgoimiHrH Gyica KepaK, geraH TacaBBypHH KeiTupuG HHKapraH. HaiHKaga Ga3H xafiBOHiap, KefiHHHanHK 3ca y^Mm^um Ga3H HaBiapu xaM MyafiaH ypyr at3OiapHHHr aKgogu, atHH TOTeMugup, geraH
TacaBByp maKnnaHHmHra oiuG KeiraH. LQyHHHr yHyH, KefiHHHanHK ypyr at3Oiapu TOTeMHHr "epgaMura" Ky3 THKKamiap, yHH MyK^gaciamTupuG, y3 xoMufiiapH geG xHCoGiaraHiap. ToTeMra caKga KHiuHraH, xuMoa, KHiuHraH 3t3O3iaHraH. KefiHHanHK TOTeMH3Mga TatGy TatKHKiam KOHyHH umiaG HUKHiraH. ByHga y3HHH TOTeMH xucoGiaHraH xafiBOH Ckh ycHMnHKHH HCTeMOi KHium MaH 3THiraH. OaKai afipuM xoiiapga, atHH TaHTaHaiu KyHiapga yiapHH Maxcyc pacM-pycyMra puoa KHiraH xoiga HCTeMOi khiuh MyMKHH GyiraH. Ypyr at3Oiapu myHgaruHa TOTeMHHHr KyH KyBBaTH Kumuiapra yTagu Ba y Keirycuga xaM ypyrHHHr xomhhch GyiHG KoiagH geraH TacaBByp GyiraH.
ToTeMH3MHHHr 3neMeHTnapHHH xo3upru guHiapga xaM Kypum MyMKHH. MacaiaH, xuHgyu3M guHuga ((hi, MafiMyH, curup, hioh, KaGuiap MyKaggac xafiBOHiap xHCoGnaH^aHnap. y3GeKiapga KaiguproH, MycuHa, nafinaK, KyKKapraHH MyKaggac Kymiap geG 3t3O3iam xaM TOTeMH3MHHHr KypHHHmnapHgaH Gupugup. MapKa3ufi Ocue xanKnapHga, my KyMiagaH y3Geioiapga MyHaira KapaG BaKT xhcoGhhh HHKapum TOTeM 3tTHKogu GuiaH GorauKgup.
OeTumu3M xaM KaguMru guH maKiiapHgaH Gupu. OeTumu3M - nopiyraiHa "OeTumo" OpaHny3Ha "OeTum" cy3ugaH oiHHraH GyiuG, " cexpiu Hapca " geraH MatHoHH GHigHpagH. ByHga KoHcH3 Hapcaiapga KaHgaigHp raipHTaGHi KyH Gopiurura HmoHHiagu. YiapgaH Magag KyTagu. CuruHum oGteKTH xap xui Hapca, atHH toih, TaeK, gapaxT Ba x.k. GyiumH MyMKHH. ByHgaH $eTHmnamTHpHnraH GyKMiap KefiHHHanHK TyMop, caHaM, GyT KaGuiap GyiraH, yiap xo3up xaM yHpaG Typagu. HGTugouH ogaMiap Ma3Kyp GyKM-^eTumiap My'iK^am, y3napHHHHr xaeTura Tatcup khiuh KoGuiuaTHra 3ra 3KamiHrHra umoHraHiap, yHgaH Magag Ba epgaM KyTraHiap.
HKOHa (xygo TacBupu) ra, "MyKaggac" gapaxT Ba Tomiap, a3H3 aBiHeiap Ba yiapHHHr KaGpiapura, xap xui TyMopiapra, Ky3MyHHOiGiapra curuHum, yiapHH MyKaggac geG Guium (J)eTHHiH3MHHHr Gu3raHa KeiraH KOigHrHgup.
Ahhmh3m - iOTHHHa "aHHMa" cy3ugaH oiHHraH GyiuG, pyx, koh geraH MatHOiapHH GuigupagH. By hom HHraro 3THorpa$u 3.Tefiiop TOMOHugaH
KHpUTHiraH. AHHMH3MHHHr MOxuaTH KHIHH pyxHHHHr, KOHHHHHr GopiHrUHa
umoHumgup. AHHMH3Mga pyxiap TaGuuH xogucaiapHH GomKapagu, yHra Tatcup yTKa3agu geG xucoGiaHagu. By pyxiap e caxufi Kumuiap GaxTura, xaeTura Taxgug coiyBHH GyiumH MyMKHH geG TacaBByp KHiuHraH. HGTugouH ogaMiap Ba(J)OT 3TraH KumuiapHUHr pyxiapu aGagufi, yiMac geG xucoGiaG, yiapra curHHraHiap. Yiap y3 TaHaiapu Ty3HnHmHHH khhh yiumH, Tym Kypumu Ba Kacagiapu GuiaH GoriHK xogucaiapHH TymyHa oiMafi, kohhh MaBKyg Gup Hapca geG GhihG, khhh yiumH GuiaH koh TaHaHH TapK 3thG KeTagu, GomKa Hapcaiapra, atHH xafiBOHiapra, em HaKaiOK Goiaiapra yiagu geG TacaBByp KHiraHiap. YfiKyHH KOHHHHr khhh TaHacuHH BaKTHHHa TamiaG KeTumu, TymHH 3ca khhh yxiaG eTraHga KOHHHHr
6oiHKa yj[H6 KeTraH KHmHnapHHHr kohh 6HjaH ynpamyBH ge6 6HnraHnap.
AHHMH3Mra 3tTHKog KHnraHnap ogaM ynraHgaH cyHr koh TaHagaH hhkh6 KeTagu Ba ynMafigH, a6agufi amangu ge6 xHCo6naraHnap. Illy acocga pyxHHHr ynMacnHrH Tyrpucugaru TacaBBypjap K>3ara KejraH. Illy 6HjaH 6upra u6THgoHfi ogaMjap xap 6up HapcaHHHr y3 pyxu-KOHH 6op ge6 TacaBByp KmraH.
MapKa3HH Ocuega MapxyMHHHr KOHHHH-pyxuHH "apBox" ge6 aTamraH. ApBox 3ca y3OKKa KeTMafi my Kofiga aimam^ ropagu, yfigaru 6apna HmmapgaH xa6apgop 6ynH6, Typagu ge6 yfinaraHnap. ApBoxjapHH po3H khjuh, ra3a6uHH KenTHpMacnHK MaKcaguga xap xhj Kyp6omjHK MapocHMjapuHH yTKa3^aHnap.
YTraH aKgogjap pyxjapura caKga khjuh, yjapHH xoTupjam, Ta6uaT Ba Ta6uaT Kynjapra chfhhhih HaraKacuga MyKaggac Kofijap, aBnHenapHHHr Ka6pjapu ByKygra KejraH.
IUoMOHH3M - u6THgoHH KaMoa Ty3yMH eMupHjumH gaBpuga nafigo 6ynraH aHHMucTHK 3tTHKog Ba u6ogaTHHHF KeHr goupacura KupaguraH KaguMru gHHHfi 3tTHKognapgaH 6upu.
"LQomoh" TyHrycna cy3 6ynH6, "yTa xaidKOffljaHraH", "Ka3aBanH khhh" geraH MatHOHH aHraaTagu. Yhhhf y3ura xoc xycycuirra - KHmujap opacuga Typju pyxjap 6HjaH MyHoca6aTga 6yja ojaguraH moMOHjap K^mmTHra umoHumgup. UoMOHjapra myHHHrgeK, KejaKaKHH ojgHHgaH afiTu6 6epum, KacajHH gaBOjam ynraHnapHH oxupaTra y3aTHm, pyxjap 6HjaH MyjOKOTra Kupuma ojehhi, Ta6uaTga xoxnaraHHa y3rapTHpHHmap khjuh Ka6u xycycHirraapu 6opnHrHra umoHHmraH. YTMHmga moMOHjapHUHr pyx 6HjaH ajOKacu homoh gyM6upacu eKH MyKH3aBHfi MycuKa HKpocuga Typju pacM-pycMjapHH 6aKapum KapaeHHga Ka3aBacu Tyra6, xojgaH TofiryHna 6aKapHnraH. Xyjoca myKH, ihomohh3mhhhf TOTeMH3M, (J)eTHHiH3M, aHHMH3MgaH ((apKH 6op. ByHga guHjapga ogaMjap xafiBomjap, ycHMnHKnap, Typju 6yroMjap, Ba pyxjapra chfhhhih 6yjca, moMOHH3Mga ogaMjap ogaMra, atHH moMOHra umoHraH Ba curuHraH. LQomohh3m yTMHm guHjap capKHTH cu(aTHga 6at3H xojmapga ynpa6 Typagu.
Marua (cexprapjHK) - HHcoHra, xafiBOHra eKH Ta6uaT xogHcajapHra rafipHTa6ufi fiyj 6HjaH Tatcup KypcaTHm MaKcaguga 6aKapHnagHraH xarra-xapaKaraapgup.
CexprapjHK e^om Ba Ky3ra KypuHMafiguraH cexpju ajOKa Ba TatCHpnapHHHr Ta6uaTHra MaBKygnHrHra umoHTHpum, afipHM xomapga ogaM 6HjaH Ta6uaT opacugaru MyHOca6aTnapra xaM Tatcup yTKa3Hm, 6up ogaMHHHr hkkhhhh 6up maxcra Tatcup Kma 6HjHm Ko6HnaaTHra 3ra 3KaHnHrHHH yKTupumgaH u6opaT gHHHfi 3tTHKoggup.¹
CexprapjHK fiyju 6HjaH KynHHHa xaB((-xaTapgaH caKjaHHm eKH gymMaHra
H. KKa66opoB. KKaxoH guHjapu Tapuxu 48 - 6eT.
3apap eTKa3HiH MaKcaguga y3OK Maco(agaH Gyicaga, khcmohhh xoiga hokhcmohhh Tatcup yTKa3HHira xapaKaT KHiuHraH. By um GuiaH Kogyrapiap, a3OfiHMxoHnap, (oiGHHiap, gyoxoHiap, Gaxmuiap, myrynnaHraHnap.
CexprapiHKHHHr KyHugaru Typiapu GyiraH: GupoBra Ckh gymMaHra 3hCh-3axMaT eTKa3um, xapGufi cexprapiHK, MyxaGGaT cexprapiHK ( hcchk coByK khiuh), gaBOiam cexprapiHK, oG-xaBO cexprapiuru, xyKaiHK cexprapiuru, Ba x.k.
CexprapiHK GapHa gHHiapga MyxHM ypHH oiraHiHrH GHiaH aKpaiHG TypagH.
KumuiuK KaMuaTH Tapuxuga guH HiaiomapH Typiu-TyMaH GyiraH. Ammo xap KaHgafi guH MyafiaH, KOHKpeT Tapuxufi mapouT Ba hkthmohh MyHOcaGaraapra MyBo(HK xoiga naigo GyiraH xaMga pHBoKiaHraH.
HGTugouH KaMoa Ty3yMHHHHr eMupuiraH Ba chh(hh TaGaKaiaHum GomiaHraH gaBpga xygoiap xaKugaru TacaBBypiapHHHr maKiiaHumH yiap GuiaH GoriHK GyiraH yp(-ogaT Ba MapocuMiapga xaM MyafiaH y3rapHmiapra oiuG KeiraH.