Indima yemathematika empilweni yomuntu. Kungani sidinga izibalo?

Uma ubheka ngokuzungezile, indima yezibalo empilweni yomuntu iba sobala. Amakhompiyutha, amafoni wesimanje nezinye izinto zokusebenza zihamba nathi nsuku zonke, futhi indalo yabo ayinakwenzeka ngaphandle kokusebenzisa imithetho nezibalo zesayensi enkulu. Kodwa-ke, indima yemathematika empilweni yabantu kanye nomphakathi ayikhathalwanga nesicelo sayo esifanayo. Uma kungenjalo, isibonelo, abaculi abaningi bangase bathi ngunembeza ocacile ukuthi isikhathi esinikelwe ekuxazululeni izinkinga nasekuboniseni izinkinga esikoleni sasilahlekile. Noma kunjalo, lokhu akunjalo. Ake sizame ukuthola ukuthi izibalo ziphi.

Isisekelo

Okokuqala, kubalulekile ukuqonda ukuthi yiziphi izibalo eziphathelene nazo. Ekuhumusheni kusukela esiGriki sasendulo ngokwalo igama lisho "isayensi", "ukutadisha". Enhliziyweni yamathematika kukhona imisebenzi yokubala, ukulinganisa nokuchaza izinhlobo zezinto. Lesi yisisekelo lapho ulwazi oluhlelwe khona, ukuhleleka kanye nobuhlobo kusekelwe. Ziyisisekelo sosayensi. Izakhiwo zezinto zangempela ezikuyo zihlelwe futhi zibhalwa ngolimi olusemthethweni. Yile ndlela abaguqula ngayo zibe izinto zezinombolo. Ezinye zezindawo ezibekwe eceleni ziba yizinkomba (iziqinisekiso ezingadingi ubufakazi). Kulezi, ezinye izakhiwo zangempela zitholwa. Ngakho imodeli yesibalo sezinto zangempela-impilo yenziwa.

Izigaba ezimbili

Izibalo zingahlukaniswa zibe izingxenye ezimbili ezihambisanayo. Isayensi yezinkolelo ikhuluma ngokuhlaziywa okujulile kwezakhiwo zangaphakathi. I-applied one inikeza amamodeli ayo kwezinye iziyalo. I-physics, i-chemistry kanye ne-astronomy, izinhlelo zokubunjiniyela, ukubikezela kanye nokusebenzisa i-logic zisebenzisa izixhobo zamathemikhali njalo. Ngesizo salo, ukutholwa kwenziwa, okutholakala njalo, imicimbi ibonisiwe. Ngalesi sizathu, ukubaluleka kwezibalo embusweni wobuntu ngeke kuvezwe.

Isisekelo somsebenzi wezobuchwepheshe

Ngaphandle kolwazi lwemithetho eyisisekelo yezibalo kanye nekhono lokuwasebenzisa ezweni lanamuhla, kuba nzima kakhulu ukufunda noma yikuphi umsebenzi. Ngezibalo kanye nokusebenzisana nabo, hhayi kuphela abathengi kanye nabaqapheli abasebenza. Isazi sezinkanyezi ngeke sikwazi ukucacisa ngaphandle kolwazi olunjalo ibanga ukuya kwenkanyezi kanye nesikhathi esihle kakhulu sokuyibuka, futhi isazi sezinto eziphilayo esiyi-molecular sizoqonda ukuthi singabhekana kanjani nokushintshashintsha kwezakhi zofuzo. Injini ayakha uhlelo lwe-alamu lokusebenza noma uhlelo lokubhekwa kwevidiyo, futhi umqambi ngeke athole indlela yesistimu yokusebenza. Eziningi zalezi kanye nezinye izisebenzi ngaphandle kwemathemikhali azikho nje.

Ulwazi lomuntu

Kodwa-ke, indima yezibalo empilweni yomuntu, isibonelo, ngubani ozizinikele ekudwebeni noma ezincwadini, akucaci. Kodwa imifula yendlovukazi yezesayensi nayo ikhona kolwazi lokusiza.

Kubonakala sengathi izinkondlo ziyingxabano eqhubekayo nokukhuthazwa, akukho ndawo yokuhlaziywa nokubala. Kodwa-ke, kwanele ukukhumbula ubukhulu bezinkondlo (iambic, trochee, amphibrachia), njengoba ukuqonda kufika ukuthi izibalo zibeke isandla sayo lapho. Isigqi, amazwi noma umculo, kuchazwe futhi kubalwa ngokusebenzisa ulwazi lwesayensi.

Kumlobi noma isazi sezengqondo, imibono enjengokuthembeka kolwazi, icala elihlukile, ukukhiqiza nokunye njalo kubalulekile. Zonke zazo ziyizibalo ngokuqondile, noma zakhiwe ngesisekelo semithetho eyenziwe yindlovukazi yesayensi, zikhona ngenxa yalo kanye nemithetho yayo.

I-Psychology yazalwa emkhakheni wezabantu kanye nesayensi yemvelo. Zonke izinkomba zalo, ngisho nalabo abasebenza kuphela ngezithombe, bathembele ekubukeni, ukuhlaziywa kwedatha, ukukhiqiza kwabo nokuqinisekisa kwabo. Isebenzisa izindlela zombili, ukubikezela, nezindlela zokubala.

Kusuka esikoleni

Izibalo empilweni yethu azikho nje kuphela ekuqaliseni umsebenzi nokuqaphela ulwazi olutholiwe. Noma kunjalo, sisebenzisa indlovukazi yesayensi cishe ngaso sonke isikhathi. Yingakho izibalo zifundiswa masinyane. Ukuxazulula imisebenzi elula futhi eyinkimbinkimbi, ingane ayifundi nje ukuthi ingeza kanjani, isuse futhi yande. Ngokuhamba kancane, kusukela ezisekelo, uqonda isakhiwo sezwe lanamuhla. Futhi akusiyo inqubekelaphambili yobuchwepheshe noma ikhono lokuhlola ushintsho esitolo. Izibalo zakha izici ezithile zokucabanga futhi zithonya isimo sengqondo ngezwe.

Into elula kakhulu, eyinkimbinkimbi kakhulu, into ebaluleke kakhulu

Mhlawumbe wonke umuntu uzokhumbula okungenani ubusuku obulodwa emsebenzini wesikole, lapho ngifuna ukukhala ngokudangalisa: "Angiqondi ukuthi izibalo ziphi!", Phonsa imisebenzi eyinkimbinkimbi ehlosiwe futhi enzima futhi ugijime egcekeni kubangani. Esikoleni ngisho nangemva kwalokho, esikhungweni, ukuqinisekiswa kwabazali nothisha "kungena ngendlela efanele" kubonakala sengathi kuyinkinga yokukhathazeka. Kodwa-ke, ziphenduke zilungile.

Yizibalo, bese kuthi-ke i-physics, efundisa ukuthi sithole ubudlelwane obangela imbangela, senza umkhuba wokubheka owaziwayo "ukuthi imilenze ikhula kanjani". Ukunakekelwa, ukuhlushwa, amandla - baqeqesha futhi ekuxazululeni imisebenzi eningi ehlosiwe. Uma siqhubeka phambili, khona-ke ikhono lokuthola imiphumela evela emaqinisweni, ukubikezela izenzakalo zesikhathi esizayo, kanye nomkhuba wokwenza lokhu , nazo zibekwa ngesikhathi sokutadisha imibono yezibalo. Ukulinganisa, ukukhipha, ukukhipha kanye nokwehliswa yizo zonke izindlela zendlovukazi yezesayensi futhi ngesikhathi esifanayo izindlela zokwenza ubuchopho ngolwazi.

Futhi futhi futhi kwengqondo

Ngokuvamile yizibalo ezinika ingane isambulo ukuthi abantu abadala abanamandla onke futhi abazi konke. Kwenzeka uma umama noma ubaba eceliwe ukuba asize ukuxazulula inkinga kuphela ngezandla zabo futhi azwakalise ukungakwazi ukukwenza. Futhi ingane iphoqeleka ukuba ifune impendulo ngokwayo, ukwenza amaphutha futhi futhi ukufuna. Kwenzeka ukuthi abazali bamane benqabe ukusiza. Bathi: "Kumele uzenze wena ngokwakho," kusho. Futhi benza kahle. Ngemuva kwamahora amaningi wokuzama, ingane ngeke ithole umsebenzi wesikole kuphela, kodwa ikhono lokuthola izixazululo ngokuzimela, ukuthola nokulungisa amaphutha. Futhi lokhu kufihla indima yemathematika ekuphileni komuntu.

Yiqiniso, ukuzimela, ikhono lokwenza izinqumo, ukuziphendulela, ukungabi nokwesaba amaphutha akukona nje kuphela emakilasini e-algebra ne-geometry. Kodwa lezi ziyala ukudlala indima ebalulekile kule nqubo. Izibalo ziveza izimfanelo ezifana nenhloso kanye nomsebenzi. Noma kunjalo, kuncike kakhulu othisha. Ukwethulwa okungalungile kwezinto ezibonakalayo, ukuqina okukhulu ngokweqile nokucindezela, kungaphambene nalokho, kungabangela ukwesaba ubunzima namaphutha (okokuqala kwizifundo, bese kuthi empilweni), ukungafuni ukuveza umbono womuntu, ukungabi namusa.

Izibalo ekuphileni kwansuku zonke

Abantu abadala emva kokuphothula iziqu kusuka enyuvesi noma ekolishi abayeki ukuxazulula izinkinga zezibalo nsuku zonke. Ungabamba kanjani isitimela? Ngingathola yini isidlo se-kilogram eziyishumi senyama yezivakashi eziyishumi? Zingaki amakholori esesidlweni? Kuzoze kube nini isibani esisodwa sizokugcina? Lezi zindaba nezinye eziningi zihlobene ngqo nenkosikazi yezesayensi futhi ngaphandle kwayo azixazululwa. Kuvela ukuthi izibalo ekuphileni kwethu ezingabonakali zikhona njalo. Futhi ngokuvamile kaningi asikuqapheli.

Izibalo empilweni yomphakathi futhi umuntu uthinta inamba enkulu yezindawo. Ezinye zezobuchwepheshe ngaphandle kwalokhu akungacabangi, abaningi babonakala ngenxa yokuthuthukiswa kwezindawo ezihlukene. Inqubekelaphambili yezobuchwepheshe zanamuhla ihlobene eduze nokucindezeleka nokuthuthukiswa kwezixhobo zamathuluzi. Amakhompiyutha nezincingo, izindiza kanye nezindiza zezindiza ngeke zivele, aziwa ngendlovukazi yesayensi. Noma kunjalo, indima yezibalo empilweni yomuntu ayikhathali ngalokhu. Isayensi iyasiza ingane ukuba ikwazi umhlaba wonke, ifundisa ukusebenzisana okuphumelelayo nayo, ifaka ukucabanga kanye nezimfanelo zomuntu ngamunye. Nokho, izibalo kuphela azikwazanga ukubhekana nemisebenzi enjalo. Njengoba kukhulunywe ngenhla, indima enkulu idlalwe ukunikezwa kwezinto ezibonakalayo nobuntu bomuntu oletha ingane emhlabeni.