Математика фанини ўҚитишда замонавий ёндашувлар ва инновациялар модули бўйича

1.2. Mhjijihh guHjiapHUHr makM^aHHUH y3Hra xoc TOMOHjiapu.
MHnnHfi guHiap geG, ogaiga, Gup MHiiaTra MaHcyG xaiKiap 3tTHKog KHiagHraH guHiap TymyHHiagu.
MHnnHfi guHiap 3iaT-3iaT guHiap geG KpuTHiagu. ^yHKH yiap ypyr KaGuia guHiapugaH (japioiH paBumga chh(hh KaMuaT Kapop Tonumu Ba maKiaHumu gaBpuga ByKygra KeiraH Ba puBOKiaHraH. BuHoGapuH yiap aBBaio, 3iaTHHHr cyHrpa, MHiiaraHHr maKiiaHumuHH y3iapHga aKC 3TTupraH.
MHiiHi gHHiapga TacaBByp KHiHHraH xygoiap MHiiHi xygoiap xucoGiaHuG, uGogaT - MapocuMiap acocaH MyafiaH 3iai Ckh MHiiaTHUKHrarHHa moc Tymap 3gu. BuHoGapuH, Gy xuigaru KaguMru guHiap MHnnHfi gaBiai xapaKTepuga Gyiumu GuiaH GoiHKa guH aKpaiuG Typagu.
MHnnHfi guHiapra xuHguy3M, KafiHH3M, chkxh3m, GpaxMaHH3M, gaocu3M, KOH(y^HfinHK, chhtoh3m Ba axygHHiuK (HygaBHfiiHK) KaGu guHiap Kupagu.
3Hr KaguMru MHnnHfi guHiapgaH Gupu axygHfiiuK (HygaBufiiuK) guHugup. Hyga - axygHi MHiiaTHHHHr 3Hr KagHMrH KaGHiaiapHgaH GHpHHHHr HoMHgHp. ^xygHfiiuK guHHHHHr K3ara Keiumu Ba maKiiaHumH Ba 3paMH3gaH aBBairu XIII-acpra OaiacTHH epiapuHH Hcpoui KaGHnanapH TOMOHugaH GochG oiuHumu gaBpura Tyrpu Keiagu. By gaBiarauHr ByKygra Keiumuga Hyga KaGuiacu MyxuM poib yfiHaraH. MycTaKHi axygufi gaBiaiH Gapno GyiraHgaH cyHr aHa my KaGuiaHUHr xygocu ilxBera curuHum KopuH 3THiraH. CaiOMOH (CyiafiMOH nafiraMGap) nogmoiuru gaBpuga, atHH 3p.aB.X acpga xamaMarau ilxBe HGogaTxoHacH KypHiraH.






/Knggnn \ siapiim. iapcii'5 KO.iraH guH





l>oniKa flHH^apra KynjiH ra^cnpu 6op
^xygufijap sp.aB. mhhf fiHnnHKnapga MHcpnHKnap, OccypHanHKnap, BaBmoHHA, 3poH, Phm HMnepuacu Ka6u MaMjaKaTjap acpjuru Ba 3yjMH ocTHga foot aifflHjH xaeT KenHpraffljap. Illy Ty^afiju 6yHgafi a3o6 Ba yKy6aTnapgaH, KyBryHnHKnapgaH KyTHjum, axygHfijapHH O3og khjuh yHyH xajocKopHUHr Kejumu (Meccua) xaKHgaru roa K>3ara KejraH. ByHra Kypa oxup3aMOHga ilxBe axygufijap opacugaH 6up xajocKopHH HHKapagu Ba y Kyfiugaru Ba3H(anapHH 6aKapagu:1. ^yHeHH KafiTagaH hcjox KHjraH xojga Kypum: 2. Bapna axygHfijapHH CuHafi TenajHrH aTpo(uga Tynjam: 3. YjapHUHr, atHH axygHfijapHUHr 6apna gymMaHjapHHH Ka3ojam.
^Ihfh apaHHHr 133 fiHnHra Keju6 pHMnHKnap TOMOHHgaH axygufijap OajacTHH epjapugaH xafiga6 HHKapmagH .LQyHHHr yHyH axygufijap Typju MaMnaKaTnapra TapKanH6 KeTraH.
^xygufijap Kaficu gaBjaTra 6opu6 amaraH 6yncanap, y epjapga y3napHHHHr KaMoajapHHH Ty3raHnap. Hmkohh 6opma y3 gHHnapHHH caKja6 kojhh MaKcaguga TyraaHH6 Typa6uraH Kofi- cHHaror (u6ogaT yfinapH)napHH ByKygra KenTHpgHnap.
iIxygHfinHK gHHH aKKaxygojHK guHHgup. Yhhhf MyKaggac KHTo6japH TaBpoT, 3a6yp Ba TajMyg xHco6jaHagH. TaBpoT KaguMHfi axygufi THnHgarH "Topa" cy3ugaH ojuHraH 6ynH6, KOHyH geraH MatHOHH 6HngHpagH. Y 3p.aB. 1586 fiHrnapga Myco anafixHCcanoMra ho3hj KmHHraH 6ynH6, yHH, "MycoHHHr 6em khto6h" ge6 xaM afiTHjagH.
Myco anafixHCcanoM Typ Toruga xygo ilxBe 6HnaH ynpamga yHra 10 Ta HacuxaT jaBxaHH TymupraH 6ynH6, 6yjap iIxygHfinHK gHHHHHHr acocHHH TamKHj 3Tagu.

1. 
   -HxBegaH 6omKaHH hjox ge6 6HnMacnHK:
   
2. 
   ByT, caHaM Ba pacMjapra cHruHMadHK:
   
3. 
   BeKopgaH 6eKopra xygo homh 6HjaH KacaM HHMacjHK:
   

4. 
   LQaHGa KyHHHH xypMaT khiuh Ba yHH xygo ynyH Garumiam:
   
5. 
   Oia-oHaHH xypMaT khiuh:
   
6. 
   HoxaK ogaM yngHpMacnHK:
   
7. 
   3hho KHnMacnHK:
   
8. 
   YrupiuK KHnMacnHK:
   
9. 
   EiroH ryBoxiHK GepMaciHK
   
10. 
    ^KHHiapHHHr Hapcaiapura Ky3 onafiTHpMacnHK.
    

— 3aGyp" AoByg anafixHCcanoMra Xygo TOMOHugaH ho3hi 3THiraH GyiuG, 3paMH3gaH aBBairu 1050- 900 fiHiiap opacuga KHToGaT KHiuHraH. 3aGyp guHufi-MycuKaBHH metpuaT GyiuG, y acocaH Xygora GarumiaHraH Magxuaiap, guHufi aiKOB KxmHKiap, gyoiap, myKpoHaiap, HiTHKOiap, Hoiaio (jmromiap, gymMaHiap, ycTugaH muKoaT Ba GomKaiapgaH uGopaT.