Uluhlu "u-pie"
Khumbula ukuba uye waya esikolweni? Kwiklasi yokuqala kwakukho ukongeza kunye nokukhupha, okwesibini ukuphindaphinda kunye nokwahlula, okwesithathu kukho amaqhezu, kwaye okwesine isazi semathematika esivela kulo mbandela, ngokuqhelekileyo, saba yintlango emnyama, kwaye wena ukhononda: "Kutheni kufuneka ndiyicombulule ukulingana ukuba Ndifuna ukuba ngumqhubi we-tram? "- ukukhohliswa kwikhefu" ikhaya "lomfundi obalaseleyo. Ngaba uyazi ukuba kutheni ngokukhawuleza isibalo sasiba nzima kangaka? Akukho nto engaphezulu kwayo: ikharityhulam yendabuko yakhiwe "kumgca." Namhlanje sifunda oku, ngomso siqhubela phambili kwicandelo elilandelayo, ngosuku olulandelayo - kwelinye, kwaye wena, emva kokuba ubekho kwiklasi yesibini, kwaye uchithe yonke intwasahlobo kwi-Ivanov enhle kwisithathu, ukuya kwesine Iklasi ifumene ukuba awuqondi nto kwiimathematika.
Isiseko solwazi sasilungile kwaye sinyamekile. Kwinkqubo kaLyudmila Peterson yonke into ayinjalo.
Ulwazi apha lunikezwa ngumgaqo wokuqhayisa. "Kwintathu, ezine, ezintlanu, kunye neyokuqala, yesibini, ibakala lesithathu, umntwana ufumana, unokuthi, ulwazi olufanayo kuphela. kunye nobunzulu bokungena kwento engundoqo yesifundo. Ngoko ke, ukuba umntwana akayifumanga inkambo yeminyaka emine, njengokuba kukwakhiwa kwimizekelo yamatubhe amathathu aluhlaza kunye nobomvu obomvu, uya kubuyela kwiipatheni ezifanayo kwiminyaka emihlanu ubudala, nangona kuya kufuneka ukuba uqikelele yiphi i-cube zibeke ezi zilandelayo ngethungelwano: ezimbini ezibomvu ezibomvu imthubi. Kodwa umntwana ngokungalindelekanga liyaqonda ukuba yonke nje! iqala kwakhona kwaye ukuphinda "nesingqisho" de iityhubhu asizi ukuba ayeke! Yaye umama uya kugxotha entliziyweni yam: "Emva kwakho konke, umntwana wam uqili, ndicinga ukuba i-cubes!" "Indlela kaPeterson inika umntwana ngamnye ithuba lokubeka izinto ezilukhuni kuye ixesha elithile, aze aziqonde kwinqanaba elitsha lophuhliso," utshilo utitshala iklasi ephakamileyo yezemfundo uNatalia Tsarkova. U-Natalia Vladimirovna usebenze kwisikolo esiseprayimari seminyaka emininzi kwaye uthi le yindlela eyona nto ayiphathe ngayo.
"Kule nkqubo ndiyakhangwa ngokubandakanyeka ngokupheleleyo kubantwana kwinkqubo yokufunda. Ekuqaleni kwesi sifundo sizenzele umsebenzi, ekugqibeleni - sihlalutya ukuba siphumelele umphumo oyifunayo. Kwakhona, sidinga iziphumo kungekho ngenxa yazo, kodwa ukuzenza ebomini, "u-Natalia Tsarkova wongeza." Eneneni, cingisisa malunga nantoni na umntwana ofunda ngokukhawuleza? iimbumba ze-gum, yena ngokwakhe ufunda oku nzima ukuba "abe njengoDiska ukusuka emnyango wesithathu." Wayezama, athukuthele, ngamanye amaxesha ahlambela unyawo lwakhe, athukuthele, kodwa akalilahli. Kutheni? Ngenxa yokuba kungekhona uMama - yena! Ngelo xesha umntwana uya kuba nako ukubala - uya kuqala ukubala. Into ephambili kukudala izizathu eziyimfuneko.
Konke kunengqiqo
Kwakhona, sikhumbula isikolweni sethu kunye nezifundo zezibalo. Yintoni oyenze ukwenza kuzo? Ewe kunjalo, bacinga. Yaye yintoni enye ongayenza kwimathematika? Eyesibini kunye neyesithathu, ezintathu kunye nobabini - yiyo i-destin ye-schoolboy boy. Ukudlala izibalo kunye nezingane ngokubhekiselele kwindlela yePeterson, oku kuya kunceda ukukhawuleza ukuqonda ulwazi oluyisiseko le nzu lulwazi.
Hayi, i-akhawunti ifundiswa ngabantwana, kodwa i-akhawunti apha ingomnye wemisebenzi emininzi. Indlela kaPeterson isondele kwiimfuno zangempela zomntu wangempela. Izidingo kufuneka ziqonde ubunzulu bezinto kwaye zikwazi ukwenza izigqibo ezifanelekileyo. Njani, umzekelo, ngaba abantwana basenkulisa bafunda i-akhawunti efanayo? Iingcamango ezingabonakaliyo zokubalwa kunye nokulingana azitholakali kubo. Ngokuqinisekileyo, bangafunda yonke imimiselo yokongeza kunye nokukhupha kwisithuba se-12. Abazali abanenkani kunokuba bafunde "i-Flies-okotuhi" bafundisa abantwana ngetafile yokuphindaphinda. Hlala, bantwana, uya kukhula kwaye wenze ukuba umama nabazali bafundise iitafula zikaBradys - mabavumeleke! Kodwa ukuqonda ukuba oku "3 + 2 = 5" kunzima kubantwana. Abafundi be-pre-school, abhekiselele kwinkqubo ye-Peterson, banamathuba amaninzi emiphakathini phambi kwamehlo abo-apha ibizwa ngokuba yi-streamlet streamlet. Abathathu, bathetha, kunye nababini? Ingane ibeka umnwe wayo kwinani lesithathu kwaye yenza amanyathelo amabini ahamba phambili. Phambili - kuba kukho ukudibanisa. Kwaye ukuba kukho ukunciphisa, ngoko wayeya kubuya. Uphi umnwe? Kwinqanaba elithandathu. Ngoko abathathu kunye kunye nabini baya kubahlanu! Apha kuwe nempendulo.
Abantwana bayonwaba ngokunyanisekileyo kwicandelo kwaye bafunde i-akhawunti ngokukhawuleza kwi-12. Ngokuqhelekileyo, ababengaphambi kwesikolo baqonda iiklasi kwiPeterson njengomdlalo. Oku kuququzelelwe ngamaphepha eencwadi ezimbala, kwaye imisebenzi ngokwazo iyonwabile kwaye ihlukeneyo. "I-Technique uPetererson yandithintela oko kuphuhlisa ngokwenene. Ekupheleni kwesikolo esiprayimari, abantwana ababandakanyekayo kulo, bafumana "oontanga" babo onyaka kunye nesigamu, "- utsho uTarkova. Ewe, abaninzi "abaqhayisa" bahlakaniphile, banengqiqo kakhulu, bulumko kangangokuba abazali abahluphekayo benza izifundo zabo nabantwana kwada kweyure yentsasa, kodwa kutheni sifundisa abantwana ukuba kunzima, ukuba kunokwenzeka, kulula? "Ukuba ngaba ziphumo ukuba bonke ootitshala banokuziqhayisa?"
I cubic "equation"
Incwadana enomsebenzi kaPeterson kwisitoreji ngasinye sinokufumaneka kunye nenqwelo encinane. Kodwa akuyimfuneko ukuzinciphisa iincwadi zokubhala. Zama ukudlala "kwi-Peterson" nomntwana wakho!
Beka ii-cubes phantsi: amabini obomvu, amabini abomvu, amabini abomvu nokuphindwa kabini ephuzi kwaye ubuze inkunzi yenkomo ukuba iqhubeke nomqolo. Okokuqala, umntwana unokubeka, umzekelo, i-cube eluhlaza. Cacisa kwi-crumb: "Hayi, khangela, umqolo uguqukile. Yaye i-cubes kufuneka iphindwe ngokuphindaphindiweyo njengasekuqaleni. "Ingane iya kukhangela ngokukhawuleza ukuba yintoni intsingiselo yalo mdlalo kwaye, emva kokubeka idayisi ephuzi emva kwee-reds ezimbini, mhlawumbi iya kunika ukudlala okungaphezulu.Ukuba usebenzise umgaqo," qhubeka uyingqiqo ", umntwana uya kukwazi ukwenza imisebenzi efanayo kuwe. Kwaye unokuphazamiseka kanye xa ubona ubuso bakho bubuso: "Ndicinga ukuba ingqungquthela enzima kangangokuba umama wayengacingi!"
Esinye isabelo sePeterson singadlala njenge "Gallows" okanye "Baldu". Thatha icwecwe lephepha uze uyidwebe ibhola ebomvu enkulu. Ingane yakho sele isazi ukuba into ingaba enkulu okanye encinci, ibomvu okanye eluhlaza, ibhola okanye i-cube. Mcebisa ukuba, emva kwebhola ebomvu enkulu, ukudweba into eyahlukileyo kuyo kuphela yinto ethile. Masithi umntwana uza kufaka ibhola ebomvu elincinci. Ukuhamba okulandelayo kukukho - udweba ibhola elincinci lebhola. Emva koko ipensela iphinda ibambe umntwana kunye nebala eliluhlaza okwesibhakabhaka livela kwiphepha. Unako ukufikelela kwi-infinity.
Umsebenzi olandelayo unceda abantwana ukuba balungiselele isisombululo sokungalingani. Dweba amabhokisi amabini kwiphepha. Kwindawo enye iinkwenkwezi ezintlanu, kwezinye iindawo ezine.
Buza umntwana:
- Ziziphi iinkwenkwezi ngaphezulu? Mhlawumbi, i-crumb iya kubonisa ukubala i-asterisks.
- Unokwenza lula kakhulu, - uyamamatheka, - masibeke ii-asterisks zibe zibini. Xhuma inkwenkwezi kwibhokisi enye ukuya kwi-asterisk kwenye. Ngaba zonke ii-asterisks ezimbini? Hayi? Kwibhokisi enye kwakukho i-asterisk ngaphandle kwembini? Ngenxa yoko, kukho ezinye zazo. Ngokwezenzululwazi oku kuthiwa ukusekwa kwee-one-to-one correspondence. Kwaye ngendlela enjengomntwana - ukwakha ngamabini. Abantwana bathanda kakhulu lo msebenzi. Ngokuqinisekileyo, indlela kaPeterson ayikho i-panacea kuyo yonke imathematika "yokugula." Kwaye, mhlawumbi, emva kwexesha kuya kutshintshwa into ebaluleke ngakumbi: into enye inokuqinisekileyo: umntwana uya kuhlala efuna ukucinga ngokucokisekileyo - ngoko kanye amandla ufumane ngokudlala izibalo.