Ko te tūranga o te pāngarau i roto i te oraraa o te taata. He aha te mea te pāngarau?

Ki te titiro āta koe i nga taha, te tūranga o pāngarau i roto i te oraraa o te taata riro kitea. Computers, waea, me te tahi atu taputapu hou haere tahi tatou i nga ra katoa, a kahore he taea to ratou hanga i waho te whakamahi o ture me ngā whakataunga o te pūtaiao nui. Heoi, ko te wāhi o pāngarau i roto i te ora o te iwi e kore te me te hapori herea ki taua whakamahinga o reira. Te kore, hei tauira, he tokomaha toi taea mea ki te hinengaro mārama e te wa i oti rawa ki te whakaoti rapanga i te kura, me te ata mohiotia theorems, i maumauria. Otiia, e kore te mea te reira. Whakamātauria ki matau aha e hiahia ana tatou pāngarau.

turanga

Tuatahi, kia matau a he aha te mea pāngarau katoa. Iritihia i te Kariki, te tikanga tona ingoa rawa "pūtaiao", "ako". Ko te pūtake pāngarau ko te tatau, te ine me te whakaahua i te āhua o te taonga. Ko te turanga i runga i nei kei te matauranga e pā ana ki te hanganga, kia me te whakaute tenei. Ua riro raua na te faufaa o te pūtaiao. E Päkehä Āhuatanga o ngā tūturu i roto i reira, a kua oti te tuhituhi i roto i te reo ōkawa. Na ko to ratou huringa ki ngā pāngarau. Wāhanga Päkehä āhuatanga he axioms (tauākī e kore e e rapua e taunakitanga). O enei, ka putanga ki ētahi atu āhuatanga tūturu. Ko te kupu i hanga te he tauira pāngarau o ngā tūturu.

e rua ngā wāhanga

Ka taea te wehea Math kia rua nga wahi tautoko. pūtaiao ariā ko te tātaritanga hohonu o ngā hanganga pāngarau ā-. hoki whakarato te tono nga tauira o te tahi atu pekanga. Ahupūngao, matū, tātai arorangi, ngā pūnaha engineering, matakite me te arorau whakamahi taputapu pāngarau tonu. Ki reira, i hanga te kitea, tauira kitea, tia'i ngā. I roto i tenei tikanga, e kore e taea te amuitahiraa te faufaa o pāngarau i roto i te oraraa o te taata.

Ko te pūtake o te mahi ngaio

Kahore he matauranga o o te taketake ture pāngarau me te kaha ki te whakamahi i ratou i roto i te ao hou, riro te reira tino uaua ki te ako tata mahi katoa. Ki te tau a ngā mahi ki a ratou e mahi kore financiers me Accountants anake. e kore e taea te whakaritea arorangi kahore mohio o te tawhiti ki te whetu, me te wa pai ki te tiaki i te reira, me te kaikoiora rāpoi - ki te mārama me pēhea ki te mahi ki te irakētanga ira. E kore e te kaipūkaha mahi ka hanga i te tirotiro pūnaha whakaoho ataata ranei, a kahore e te kaihātepe kitea he huarahi ki te pūnaha whakahaere. E rave rahi o enei, me te tahi atu ngaio kahore pāngarau kore noa e te tīariari.

reia

Otiia tūranga kore e pera kitea o pāngarau i roto i te ora tangata, mo te tauira kua oti rawa, ia ki peita tuhituhinga ranei. Otiia tohu o te kuini o pūtaiao reira i roto i te humanities.

e mea he e whiti - he romance mārō, me te faaururaa, i reira he kore wahi mo te tātari me te tatauranga. Heoi, rato reira ki haamana'o mita whiti (iambic, trochee, amphibrach) Kei te timata ki te ite e te pāngarau, me te ka hoatu tona ringa. Rhythm, waha waiata ranei, kua whakaahuatia hoki a tātai mā te whakamahi i te matauranga o tenei pūtaiao.

Hoki te kaituhi kaimātai hinengaro ranei he maha ngā ariā nui pērā i te tika o te mōhiohio, he take taratahi, whakatau, a na i runga i. Ko katoa o ratou tika pāngarau ranei, e hanga i runga i te pūtake o ture whakawhanakehia e te kuini o sciences ranei, te tīari hoki o reira, me te taha o ona tikanga.

whanau Psychology i i te pūtahitanga o te momo me pūtaiao māori. Tona aronga, ara te hunga e mahi anake ki whakapakoko, e hāngai ana i runga i te mātakitaki, te tātaritanga raraunga, ratou kōtuitanga me te whakaū. whakamahi te reira me te whakatauira, me te matakite, me tikanga tauanga.

i te kura

Ko reira i roto i to tatou oraraa Pāngarau, e kore anake i roto i te tukanga o te whanaketanga o te tikanga me te whakatinanatanga o te matauranga riro. Ranei ara, te whakamahi i tatou te kuini o sciences i tata nga wa. Ko te aha timata pāngarau wawe nui ki te whakaako. Whakaoti mahi ohie, me te matatini, te tamaiti e kore anake ako ki te tāpiri, tango, me te tini. Ia āta, i te timatanga o te ao hou matau te pūrere. A e kore ko e pā ana ki te ahunga whakamua hangarau me te kaha ki te manatoko i te tuku o te taonga te pātai i konei. Pāngarau ngā etahi āhuatanga o whakaaro, me te pānga o te hononga ki te ao.

Ko te māmā, uaua tino, tino nui

Pea haamana'o katoa i te iti rawa kia kotahi te ahiahi mo te kāinga, ka hiahia ia tino mate ki te aue: "E kore ahau e matau he aha tatou e hiahia pāngarau!" Peka kinongia mahi matatini, me te whakaware me te rere atu ki te iari ki hoa. I roto i te kura nui, me te ara i muri, i roto i te kāreti, haapapu mātua me ngā kaiako "haere mai i roto i te pepa" mea tito noa hoha. Heoi, whakamatau ratou ki te kia tika.

Ko te pāngarau, me te ka ahupūngao, te haapii ki te kitea te take me te pānga whanaungatanga, whakapanga te peu ki te titiro mo te kati "te wahi i te Pinches hu." Web, kukū, ka kaha - kua whakangungua hoki ratou i roto i te tukanga o te whakaoti aua raruraru i te tino kinongia. Ki te haere tatou i atu, ki te kaha haere atu i te tūhuratanga o te meka, ki te matapae ngā heke mai, me te he peu ko ki te e whakatakotoria rawa i roto i te ako o ariā pāngarau. Whakatauira, oti'a, taua ruritanga me te arataki - tikanga katoa o te kuini o pūtaiao me i te wa ano e founga te roro ki ngā mōhiohio.

Ano, hinengaro

E mea pinepine, Ko reira te whakakitenga mai o pāngarau apiti te tamaiti e kore e māfimafí pakeke, me te kore e matau katoa. Ko tenei te mea e tupu, no te ki te mama papa ranei ki te tono āwhina i te whakaoti i te raruraru ueue i anake, ka kauwhau ratou ngoikore ki te rave i te reira. Na kua ki te titiro mo te whakahoki iho, hape ka titiro ano te tamaiti. Reira tupu hoki e ngā mātua te kore noa ki te āwhina i. "Kua ka koe koe" - e mea ratou. A tika na. I muri haora o ngana ki te tiki i te tamaiti e kore te mea tika ki te mahi kāinga, engari te kaha ki te kitea takitahi rongoā ki te kitea me te hapa tika. A i roto i tenei takoto hoki te tūranga o pāngarau i roto i te oraraa o te taata.

O te akoranga, motuhake me te kaha ki te hanga whakatau, tangohia kawenga mo ratou, e hangaia kahore wehi o hapa e kore anake i te mau haapiiraa o te taurangi, me te āhuahanga. Ko te tākaro he wāhi nui i roto i te tukanga enei raupapa. hopoi Math 'ulungaanga pērā i tuutuu ore, me te mahi. Heoi, tei te rota i runga i te kaiako. E kore e whangai tika, austerity nui me te pēhanga e, ki runga ki te anga ke, ki te faatupu i te wehi o te mau fifi, me ngā hapa (tuatahi i roto i te piha haapiiraa, a muri mai i roto i te ora), ki te hiahia te whakapuaki i to ratou whakaaro, passivity.

Pāngarau i roto i te ora ia rā

Ngā pakeke nei i muri i tu'ite i wānanga kolisí ranei e kore e mutu ki te whakaoti rapanga pāngarau i nga ra. Me pēhea te ki te hopu i te tereina? Ahakoa ka tahuri te reira i roto i te manokaramu o kai ki te tunu tina mō manuhiri tekau? Kia pehea te maha Calories i roto i te rihi? I aha wa ka kia nui kotahi umanga? E pā ana ēnei me te maha atu ngā pātai tika ki te kuini o sciences, a kahore e kore e taea te whakatika i te reira. Huri i te reira i roto i te pāngarau i roto i to tatou oraraa invisibly reira tata tonu. A maha e kore e tatou noa kite.

Pāngarau i roto i te hapori, me te takitahi pānga he maha nui o ngā wāhanga. He feruri kahore reira ētahi ngaio, he tokomaha i anake e tika ana ki te whanaketanga o ona wāhi takitahi. Kei te āta hono Modern te ahunga whakamua hangarau ki te matatini te whakanui ake me te whanaketanga o te taputapu pāngarau. Rorohiko me waea, e kore kua puta rererangi me te waka ātea ki te kahore hoki te iwi i mohiotia ki te kuini o te pūtaiao. Heoi, e kore e mutu te tūranga o pāngarau i roto i te oraraa o te taata i reira. tauturu Pūtaiao te tamaiti tūhura te ao, e whakaako pāhekoheko whai hua ake ki a ratou, momo o whakaaro me etahi huru maitatai o te huru. Heoi, he pāngarau i roto ano kihai i pai i tāia ki ki taua mahi. Ka rite ki whakahuatia i runga ake, nui reira he wāhi nui, me te whakaaturanga o nga āhuatanga rauemi o te tuakiri o te tetahi e whakamōhio te tamaiti ki te ao.