ganaTleba
ganaTleba ganaTleba
doneobiTi (doneobrivi) diferenciacia. jgufebs eZlevaerTi da igive savarjiSo sirTulis sxvadasxva doniT.maTematikis swavlebis prqatikaSi, diferencirebuli swavlebispirobebSi, xSirad gamoiyeneba variaciuloba. bavSvebs eZlevaT sxvadasxvasirTulis sxvadasxva amocanebi, e. i. sakiTxi wydeba swavlebis SinaarsobrivaspeqtSi. magram, unda aRiniSnos, rom dawyebiT skolaSi moswavleTaindividualuri Taviseburebani jer kidev ar aris myarad dakavSirebulicodnis sistemasTan; swored es faqti zRudavs diferencirebuliswavlebisas amocanis Sinaarsobriv mxareze dayrdnobas. amitomaq umjobesia erTi amocanis doneobrivi siZneleebis Seqmna da misi gamoyeneba.Tu teqsturi maTematikuri amocanebis amoxsnis swavlebis procesSiganvaxorcielebT doneobiT diferenciacias, maSin es xels SeuwyobsmoswavleTa unaris srulyofas amocanebis amoxsnaSi yvela doneze.saswavlo procesis aseTi organizacia uzrunvelyofs moswavleTaCarTvas aqtiur saswavlo saqmianobaSi maTi individualuri SesaZleblobebisSesabamisad.sanam teqsturi amocanis doneobiT diferencirebaze da misi gamoyenebisSesaxeb saubarze gadavidodeT, unda ganvsazRvroT moswavlismomzadebis dasayrdeni done, romelic ganpirobebulia matematikuriganaTlebis standartiT da romelic CvenTvisac iqneba dasayrdeni,rom masze avagoT ufro maRali doneebi.dasayrdeni done SeiZleba ase davaxasiaToT:moswavleebs SeuZliaT: gamoyon piroba, kiTxva, mocemulobebi,saZieblebi; daamyaron kavSiri mocemulobasa da saZiebels Soris; Seqmnanamocanis sxvadasxva modeli _ sityvieri, sagnobrivi, sqematuri,maTematikuri; Seadginon amocanis amoxsnis gegma, amoxsnan da Seamowmonamocana.amgvarad, Cven saubari gvaqvs sxvdasxva Sinaarsisa da logikuriorganizaciis or doneze: 1. moswavlis momzadebis done da 2. amocanissirTulis done. moswavlis momzadebis done sruliad sxvadasxvanairia,amitom unda damuSavdes teqsturi maTematikuri amocanebis amoxsnisswavlebis zogierTi meTodikuri aspeqti dawyebiTi klasebisaTvis doniTidiferenciaciis konteqstSi.moswavleTa Taviseburebebis gamovlenis tipologiuri analizigvaZlevs saSualebas, gamovyoT amocanebis amoxsnis unaris doneebi. amdoneebis dadgenis safuZvelia analizis sami saxe: elementuri, kompleqsurida ganWvretiTi. fsiqologiaSi cnobilia amocanaTa amoxsnisunarebis doneebi, romlebic emyareba umcrosklaselTa gonebrivi moqmedianobisTaviseburebebs:dabali done. moswavlis mier amocanis aRqma xdeba zedapirulad,arasrulad. xSirad erTmaneTSi ereva amocanis arsebiTi da araarsebiTi44
elementebi. aseT SemTxvevaSi moswavles metwilad amocana jer kidevara aqvs kargad gagebuli da iwyebs mis amoxsnas. cxadia, rom am pirobebSiwarmateba naklebi iqneba. aq muSaobs elementuri analizi.saSualo done. moswavle miiswrafvis amocanis gagebisaken. gamoyofsmocemulobasa da saZiebels, magram maT Soris mxolod calkeulikavSiris damyareba SeuZlia. amocanaSi arsebuli kavSirebis erTian sistemaSigaurkvevlobis gamo eZneleba amocanis amoxsnis gzis Zieba. moswavlisaTvismisawvdomia amocanis amoxsnis nabij-nabij miwodeba. masgaaCnia unari, ganazogados amocanis amoxsnis xerxi, magram amisaTvissWirdeba didi varjiSi erTtipuri amocanebis amoxsnaSi da maswavleblisdaxmareba. arasakmarisada aqvs ganviTarebuli azrovnebis moqniloba.amitom eZneleba ukukavSirebis damyreba sidideebs Soris. mis-Tvis misawvdomia amocanis amoxsnis sxvadasxva xerxis moZebna im Sem-TxvevaSi, Tu aqvs analogiuri amocanebis amoxsnis gamocdileba. aq mu-Saobs kompleqsuri analizi.maRali done. amocanis sruli da mravalmxrivi analizis safuZvelzemoswavle gamoyofs sidideebs Soris urTierTkavSirebis erTiansistemas, xedavs amocanis `ConCxs”. es aZlevs mas saSualebas, sworad dagegmosamocanis amoxsna, ipovos sxvadasxva gza am amoxsnisa. saamocanosituaciis analizebisas Tavisuflad arkvevs amocanis arsebiT da araarsebiTelementebs. advilad SeuZlia amocanis amoxsnis ganzogadeba.azrovnebis moqniloba aZlevs saSualebas, Tavisuflad gadaerTosamoxsnis erTi xerxidan meoreze, sworad daadginos sidideebs Sorisrogorc pirdapiri, ise ukukavSiri. aq muSaobs ganWvretiTi analizi.moswavleTa zemoT mocemuli doniTi maxasiaTeblebis codna aucilebeliamaswavleblisaTvis, rom sworad gansazRvros ZiriTadi moTxovnebimoswavleTa unarebis mimarT sxvadasxva doneze.diferencirebuli swavlebis pirobebSi moswavleTa jgufebaddayofisas (n. wina paragrafi) pirvel jgufs Seesabameba maRali done,meore jgufs Seesabameba saSualo done, xolo mesame jgufs - dabalidone. amasTan dakavSirebiT, sirTulis mixedviT amocanis diferencirebissakiTxi ganvixiloT erT kerZo magaliTze.ganvixiloT Semdegi amocana:ori velosipedisti erTmaneTis Sesaxvedrad gamovida ori sxvadasxvasoflidan. pirvelma Sexvedramde gzaSi dahyo 2 sT da iara 13km/sT siCqariT, meorem gzaSi 3 sT dahyo da iara 12 km/sT siCqariT. ramanZilia soflebs Soris?es erTi amocana eZleva samive jgufs davalebis sxvadasxva modifikaciiT.aRsaniSnavia, rom mesame (dabali) jgufis davaleba unda Seesabamebodesdasayrdeni donis moTxovnebs.mogvyavs am amocanis doneobrivi diferenciaciis erT-erTi SesaZlovarianti moswavleTa samive jgufisaTvis.45
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doneobiTi (doneobrivi) diferenciacia. jgufebs eZlevaerTi da igive savarjiSo sirTulis sxvadasxva doniT.maTematikis swavlebis prqatikaSi, diferencirebuli swavlebispirobebSi, xSirad gamoiyeneba variaciuloba. bavSvebs eZlevaT sxvadasxvasirTulis sxvadasxva amocanebi, e. i. sakiTxi wydeba swavlebis SinaarsobrivaspeqtSi. magram, unda aRiniSnos, rom dawyebiT skolaSi moswavleTaindividualuri Taviseburebani jer kidev ar aris myarad dakavSirebulicodnis sistemasTan; swored es faqti zRudavs diferencirebuliswavlebisas amocanis Sinaarsobriv mxareze dayrdnobas. amitomaq umjobesia erTi amocanis doneobrivi siZneleebis Seqmna da misi gamoyeneba.Tu teqsturi maTematikuri amocanebis amoxsnis swavlebis procesSiganvaxorcielebT doneobiT diferenciacias, maSin es xels SeuwyobsmoswavleTa unaris srulyofas amocanebis amoxsnaSi yvela doneze.saswavlo procesis aseTi organizacia uzrunvelyofs moswavleTaCarTvas aqtiur saswavlo saqmianobaSi maTi individualuri SesaZleblobebisSesabamisad.sanam teqsturi amocanis doneobiT diferencirebaze da misi gamoyenebisSesaxeb saubarze gadavidodeT, unda ganvsazRvroT moswavlismomzadebis dasayrdeni done, romelic ganpirobebulia matematikuriganaTlebis standartiT da romelic CvenTvisac iqneba dasayrdeni,rom masze avagoT ufro maRali doneebi.dasayrdeni done SeiZleba ase davaxasiaToT:moswavleebs SeuZliaT: gamoyon piroba, kiTxva, mocemulobebi,saZieblebi; daamyaron kavSiri mocemulobasa da saZiebels Soris; Seqmnanamocanis sxvadasxva modeli _ sityvieri, sagnobrivi, sqematuri,maTematikuri; Seadginon amocanis amoxsnis gegma, amoxsnan da Seamowmonamocana.amgvarad, Cven saubari gvaqvs sxvdasxva Sinaarsisa da logikuriorganizaciis or doneze: 1. moswavlis momzadebis done da 2. amocanissirTulis done. moswavlis momzadebis done sruliad sxvadasxvanairia,amitom unda damuSavdes teqsturi maTematikuri amocanebis amoxsnisswavlebis zogierTi meTodikuri aspeqti dawyebiTi klasebisaTvis doniTidiferenciaciis konteqstSi.moswavleTa Taviseburebebis gamovlenis tipologiuri analizigvaZlevs saSualebas, gamovyoT amocanebis amoxsnis unaris doneebi. amdoneebis dadgenis safuZvelia analizis sami saxe: elementuri, kompleqsurida ganWvretiTi. fsiqologiaSi cnobilia amocanaTa amoxsnisunarebis doneebi, romlebic emyareba umcrosklaselTa gonebrivi moqmedianobisTaviseburebebs:dabali done. moswavlis mier amocanis aRqma xdeba zedapirulad,arasrulad. xSirad erTmaneTSi ereva amocanis arsebiTi da araarsebiTi44
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