gamocdili maswavlebeli
gamocdili maswavlebeli gamocdili maswavlebeli
Tavi 10 252 X dadebiTi magaliTi uaryofiT magaliTi Taviseburebebi X Y Y Z Z Y X Y X Z Z X 90 gradusze meti 180 gradusze naklebi sqema 10.1: koncefciis wvdomis nimuSebi sqemaze warmodgenilia Semdegi koncefcia: `nebismieri kuTxe romelic metia marT kuTxeze da naklebia gaSlil kuTxeze~ moswavle induqciis gziT unda mivides koncefciamde – gansazRvros damaxasiaTebeli Taviseburebebi da Camoayalibos abstraqtuli debuleba. 10.1 sqemaze mocemuli koncefcia aris `nebismieri kuTxe romelic metia marT kuTxeze da naklebia gaSlil kuTxeze~. maTematikuri saxeldeba ufro naklebmniSvnelovania, vidre moswavlis mier am ganmsazRvreli Taviseburebebis gageba. koncefciis wvdomis modelis Rirseba is aris, rom moswavleebi ara mxolod TviT koncefciebs swavloben, aramed koncefciebis Camoyalibebas niSnebis safuZvelze, logikuri msjelobis unars da alternatiuli Sexedulebebisadmi pativiscemas. es saswavlo da aRmzrdelobiTi Sedegebi koncefciis wvdomis praqtikuli gamocdilebis safuZvelze miiRweva; faqtobrivad, moswavle codnas mizanmimarTuli swavlis gziT agebs. induqciuri azrovnebis modeli induqciuri azrovnebis modeli moswavleebs saSualebas aZlevs im mecnierebis msgavsad daagrovon codna, romlebic arsebuli sinamdvilis wvdomaze iReben pasuxismgeblobas. a. b. c. d. c. f. g. h. i. j. k. l. sqema 10.2: induqciuri azrovnebis modeli es modeli moswavleebs codnis Seqmnis saSualebas aZlevs.
swavlebis modelebi ganixileT 10.2 sqemis monacemebi. Semdeg dasviT SekiTxvebis seria, rom moswavleebi ZiriTadi kuTxeebis sistemur daxarisxebamde miiyvanoT. ras xedavT? romeli figurebis dajgufeba SeiZleba? ratom? ras vuwodebT maT? ratom? ras amCnevT erT-erTi jgufis Sesaxeb? ra msgavsebebs da gansxvavebas xedavT? ras geubnebaT es yvelaferi geometriis Sesaxeb? Tqveni azriT, ra moxdeba Tu...? ra mtkicebulebas gamoiyenebdiT Tqveni varaudis dasadastureblad? raze SegviZlia vTqvaT, rom zogadad WeSmaritia? amgvari logikuri procesis Sedegad miRebuli koncefciebi, SesaZlebelia, met-naklebad gansazRvravs garegnul codnas geometriaSi, magram maswavleblisTvis ufro mniSvnelovania moswavlis azrovneba: logikisadmi yuradReba, enisadmi faqizi damokidebuleba, codnis agebisa da koncefciebis Camoyalibebis unari, am procesebSi moswavleTa TanamSromloba. kvlevis unaris wvrTna kvlevis unaris wvrTnisas moswavlem Tavisi codna problemis gadasaWrelad unda gamoiyenos. am procesSi is met codnas iZens rogorc Sinaarsis (maTematikuri codna), aseve procesis (kvlevis unaris wvrTna) TvalsazrisiT. davuSvaT, Cveni amocanaa SevqmnaT ori kvadrati da oTxi toli samkuTxedi marTkuTxedisgan, romlis gverdebia 5 da 1 goji. problemis gadaWra moswavlem geometriul koncefciebze unda aagos. es aris obieqtebis, pirobebis da movlenebis Sesaxeb relevanturi faqtebis Semowmebis procesi da imavdroulad sivrcis, formisa da zomis SesaZlo konfiguraciis Sesaxeb hipo- Tezis daSveba. magaliTad, moswavlem SesaZloa amocana 10.3 sqemaze naCvenebi gziT gadaWras. 1 3 2 4 3 4 sqema 10.3: kvlevis unaris varjiSi 5 2 1 5 253
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swavlebis modelebi<br />
ganixileT 10.2 sqemis monacemebi. Semdeg dasviT SekiTxvebis seria, rom moswavleebi<br />
ZiriTadi kuTxeebis sistemur daxarisxebamde miiyvanoT.<br />
ras xedavT?<br />
romeli figurebis dajgufeba SeiZleba? ratom?<br />
ras vuwodebT maT? ratom?<br />
ras amCnevT erT-erTi jgufis Sesaxeb?<br />
ra msgavsebebs da gansxvavebas xedavT?<br />
ras geubnebaT es yvelaferi geometriis Sesaxeb?<br />
Tqveni azriT, ra moxdeba Tu...?<br />
ra mtkicebulebas gamoiyenebdiT Tqveni varaudis dasadastureblad?<br />
raze SegviZlia vTqvaT, rom zogadad WeSmaritia?<br />
amgvari logikuri procesis Sedegad miRebuli koncefciebi, SesaZlebelia, met-naklebad<br />
gansazRvravs garegnul codnas geometriaSi, magram maswavleblisTvis ufro mniSvnelovania<br />
moswavlis azrovneba: logikisadmi yuradReba, enisadmi faqizi damokidebuleba, codnis<br />
agebisa da koncefciebis Camoyalibebis unari, am procesebSi moswavleTa TanamSromloba.<br />
kvlevis unaris wvrTna<br />
kvlevis unaris wvrTnisas moswavlem Tavisi codna problemis gadasaWrelad unda gamoiyenos.<br />
am procesSi is met codnas iZens rogorc Sinaarsis (maTematikuri codna), aseve procesis<br />
(kvlevis unaris wvrTna) TvalsazrisiT.<br />
davuSvaT, Cveni amocanaa SevqmnaT ori kvadrati da oTxi toli samkuTxedi marTkuTxedisgan,<br />
romlis gverdebia 5 da 1 goji. problemis gadaWra moswavlem geometriul koncefciebze unda<br />
aagos. es aris obieqtebis, pirobebis da movlenebis Sesaxeb relevanturi faqtebis Semowmebis<br />
procesi da imavdroulad sivrcis, formisa da zomis SesaZlo konfiguraciis Sesaxeb hipo-<br />
Tezis daSveba. magaliTad, moswavlem SesaZloa amocana 10.3 sqemaze naCvenebi gziT gadaWras.<br />
1 3<br />
2 4<br />
3<br />
4<br />
sqema 10.3: kvlevis unaris varjiSi<br />
5<br />
2<br />
1<br />
5<br />
253