nbUfnbujljt !txbwmfcb!!WJJ!lmbtTj! - Ganatleba

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- 20 - gramatikis programaSi (dawvrilebiT _ ix. [15]). amitom zogi sakiTxi sakuTriv maTematikuri TvalsazrisiT SeiZleba ucnauri Candes! humanisturi swavleba moiTxovs, rom didi yuradReba mieqces moswavlis Sinagan samyaros. es moicavs rogorc moswavlis kerZo pirovnul Taviseburebebs, ise zogad asakobriv kanonzomierebebs. Sinagan samyaros kidev erTi ganzomileba aqvs. esaa fspwovmj! Ubwjtfcvsfcb. eTnokulturul TaviseburebaTa gaTvaliswinebas sul ufro da ufro didi mniSvneloba eniWeba pedagogikaSi. zerele TvalsazrisiTac ki cxadia, rom maTematikisaTvis saWiro sayofacxovrebo Tu sxva magaliTebi moswavlis erovnuli kulturidan unda iyos SerCeuli. amasTan, gacilebiT ufro Rrmaa da arsebiTi sxva sakiTxi. qarTul enaSi, gansxvavebiT rusuli, evropuli da sxva mravali enisagan, ricxviTi saxelebi iwarmoeba Tvlis ocobiT-aTobiTi sistemiT. amitom pirveli klasis maTematikis is meTodika, romelic, SesaZloa, saukeTesoa evropeli bavSvisaTvis, gamousadegaria qarTvelisaTvis. Cvens mier gamoyenebuli meTodika iTvaliswinebs swored qarTulenovani cnobierebis Taviseburebas (amis Sesaxeb dawvrilebiT ix. [17:$3]). yvela am friad saWiro da saintereso sakiTxis Camateba Cveulebrivi saskolo maTematikis isedac gadatvirTul kursSi yovlad SeuZlebelia. amitom, Tuki namdvilad gvsurs kursis gamdidreba statistikis, logikis, gamoyenebiTi maTematikis sawyisebiT da misi galamazeba humanitaruli waxnagebiT _ aucilebelia mkveTrad Semcirdes sxvadasxva wvrilmani teqnikurmanipulaciuri sakiTxebi, magaliTad, algebruli da trigonometriuli gardaqmnebi, formulebisa da specialuri terminebis grZel-grZeli xlarTebi _ rac Cveulebrivi saskolo maTematikis ZiriTadi nawilia. uaRresad mniSvnelovania statistika. didi xania, mTelma ganvi- Tarebulma msofliom gaacnobiera, rom saSualo aramaTematikosisTvis maTematikidan yvelaze saWiroa swored statistika
- 21 - (cxadia, ubralo ariTmetikis Semdeg). statistikis mraval sakiTxs Seicavs zogadi unarebis yvela testi da TiTqmis yoveldRiurad gazeTebSic ki qveyndeba statistikuri monacemebi. statistikis sawyisebis codnis gareSe adamiani ver iqneba demokratiuli saxelmwifos srulfasovani moqalaqe, radgan ver gaiazrebs arCevnebis procedurasa da Sedegebs. didi mniSvneloba aqvs albaTur-statistikur codnas sazogadoebrivi movlenebis marTebulad Sesafaseblad, marTebuli daskvnebis gamosatanad. adamiani, rogorc wesi, mcdarad, egocentrulad afasebs sazogadoebriv movlenasa Tu xalxis ganwyobas, radganac, misdauneburad, mxolod sakuTari garemocva aqvs mxedvelobaSi. magaliTad, esa Tu is politikuri partia darwmunebulia, rom arCevnebSi 5%-ian zRurbls gadalaxavs da varaudobs xmebis 10%-is mogrovebas, Tumca, sinamdvileSi, xmebis 0,5%-sac ki ver agrovebs. statistikuri azrovnebis gareSe SeuZlebelia marTebuli daskvnis gamotana quCaSi miRebuli raime STabeWdilebidan, eqstrasensuli movlenebis garCevidan da sxva. cxadia, statistika yvelaze bunebrivad da Sinaarsianad gaer- Tianebul kursSi Caismeba. Zvelebur algebra-geometriaSi misi Casma arabunebrivia. igive iTqmis simravleTa Teoriis Sesaxebac. maTematika _ garesamyaros Semecnebis (ufro zustad ki _ modelirebis) mZlavri saSualebaa. maTematika saWiroa saskolo sabunebismetyvelo Tu humanitaruli sagnebis Tanamedrove doneze Sesaswavlad; samyaros, msoflios mecnieruli xedvis Camosayalibeblad. gasaSualoebis, sixSirisa da albaTobis umartivesi cnebebis gareSe adamians gauWirdeba im cxrilebSi da diagramebSi garkveva, romlebic yoveldRiur gazeTebSic ki SeiZleba Segvxvdes. statistika uaRresad saWiroa gamoyenebiTi TvalsazrisiT: rogorc biologia-medicinaSi, aseve ekonomikaSi, sociologiaSi, demografiasa Tu fsiqologiaSi. Cveulebriv Jurnalistsac ki sakmaod sWirdeba statistikis sawyisebi. cxadia, rom Tanamedrove informaciul xanaSi zogadsaganma-
Page 1 and 2: - 1 - nbUfnbujljt q o r b u d a !tx
Page 3 and 4: - 3 - maTematikis maswavleblis mecx
Page 5 and 6: - 5 - gonebrivi unarebi, romlebic u
Page 7 and 8: - 7 - li sakiTxebis gasameoreblad _
Page 9 and 10: - 9 - veswrafviT moswavlis aramarto
Page 11 and 12: - 11 - xuli unda iyos SiSi. SiSze d
Page 13 and 14: - 13 - ganviTarebaSi da gaZlierebaS
Page 15 and 16: - 15 - mxolod `Sav Sromaze~ damyare
Page 17 and 18: - 17 - pasuxi moswavleebs aTqmevino
Page 19: - 19 - emateba. samagierod, amgvari
Page 23 and 24: - 23 - lia sazogadod klasifikaciuri
Page 25 and 26: - 25 - moswavle, romelsac kiTxva uW
Page 27 and 28: - 27 - jerovani yuradRebis miqceva
Page 29 and 30: - 29 - gadauWreli SesaWiria. xolo d
Page 31 and 32: - 31 - moswavlem daaklo raime sityv
Page 33 and 34: - 33 - moklea. am dros umjobesia, r
Page 35 and 36: - 35 - rialos~ axal an Znel sakiTxT
Page 37 and 38: - 37 - yvela moswavles ar moeTxoveb
Page 39 and 40: - 39 - moswavlemac gaiazros isini,
Page 41 and 42: - 41 - ramdenimewuTian saklaso wera
Page 43 and 44: - 43 - dasaTvleli Tu sxva saklaso s
Page 45 and 46: - 45 - Cveneuli meTodikiT momuSave
Page 47 and 48: - 47 - (ara damatebiTi Zneli) sakiT
Page 49 and 50: - 49 - miviCnevT maswavleblis nakla
Page 51 and 52: - 51 - klasSi mainc amoxsnis. amito
Page 53 and 54: - 53 - im terminebis farglebSi, rom
Page 55 and 56: - 55 - `saymawvilo maTematikis~ kid
Page 57 and 58: - 57 - farTobi {fuZis perimetrisa d
Page 59 and 60: - 59 - tronomiis, logikis, filosofi
Page 61 and 62: - 61 - mTliani simravlis tolZalovan
Page 63 and 64: - 63 - es asea, magram saamisod ram
Page 65 and 66: - 65 - amis ramdenime konkretuli ni
Page 67 and 68: - 67 - magram es yovelive _ gumanis
Page 69 and 70: - 69 - kiTxi ukve karga xnis ganmav
Page 71 and 72:
- 71 - ar varga. kanonzomierebas ki
Page 73 and 74:
- 73 - mniSvneloba gansakuTrebiT di
Page 75 and 76:
- 75 - klasSi Cven nivTieri TvalsaC
Page 77 and 78:
- 77 - programa gverdiT darCeba. xo
Page 79 and 80:
- 79 - naxevarsfero, cilindri, naxe
Page 81 and 82:
- 81 - 14. CamowereT, romel nivTebs
Page 83 and 84:
- 83 - nfdbejofpcb/! Tuki damatebiT
Page 85 and 86:
- 85 - sxva. sakontrolo weris rveul
Page 87 and 88:
- 87 - `10~-s an `5+ ~-s Cveulebriv
Page 89 and 90:
- 89 - moswavlem mimdinare gakveTil
Page 91 and 92:
5. 4/16 4/30 - 91 - sw # 13 sw # 14
Page 93 and 94:
- 93 - C(1,5), D(1,75), K(3), E(3,5
Page 95 and 96:
- 95 - kg. 2. I. 53 sm; II. 950 g;
Page 97 and 98:
- 97 - 6. ara, radgan 12m-ic da 8n-
Page 99 and 100:
- 99 - II. 8 ⋅100000 + 9 ⋅10000
Page 101 and 102:
- 101 - 3. 2), 3), 2) da 4). saSual
Page 103 and 104:
- 103 - meore SemTxvevaSi: u ≈ 40
Page 105 and 106:
- 105 - S0 ⊂ S . 5. aguredi (marT
Page 107 and 108:
- 107 - denoba ar aRemateba mocemul
Page 109 and 110:
- 109 - 7. uTvalavi yofiTi sityvaa
Page 111 and 112:
- 111 - 7. pasuxi unda SevarCioT mi
Page 113 and 114:
- 113 - (1; 4)II, (2; 4)II }. {(7;
Page 115 and 116:
- 115 - g. 4. 1. I. +7, +3,1, 3,1,
Page 117 and 118:
- 117 - Tavi X. g. 1. 1. I. {1; 3,0
Page 119 and 120:
g. 8. 1. I. -3; II. ( 4 2) - 119 -
Page 121 and 122:
- 121 - zisgan. aqvs simetriis 4 Re
Page 123 and 124:
- 123 - iqneba Semoxazuli wrexazis
Page 125 and 126:
- 125 - 3. I. 25; II. -11. 4. orive
Page 127 and 128:
- 127 - jixuri, 31-e - Zelskami. II
Page 129 and 130:
- 129 - 5. I. katis myol mobinadreT
Page 131 and 132:
- 131 - nawili tolia 21 km-is (1 q)
Page 133 and 134:
- 133 - sakontrolo wera # 7 rigi I
Page 135 and 136:
- 135 - II meoTxedSi (1 q). 5. xali
Page 137 and 138:
- 137 - 2. I. 2a - 5 (2 q); II. y +
Page 139 and 140:
- 139 - 1 x + 1 x nawils, rac 1 mTe
Page 141:
- 141 - математики. М.-1
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