Ngubani weza le theyibhile phindo? itheyibhile Multiplication playful

Ukuqonda phindo itafile kubeka isiseko ukufunda ngakumbi kwimathematika. Ngaphandle lwazi, uqeqesho luya kuba yingxaki. Ngoko ke, nkqu kwisikolo samabanga aphantsi kufuneka bafunde itafile phindo.

Ngubani weza le theyibhile phindo?

Kuba ngqa nefom ye kwetafile phindo wabonakala kule ncwadi Nikomaha Gerazskogo (I-II kwiinkulungwane BC ...) - "Introduction to arithmetic."

Ngoko enyuka le theyibhile phindo? Ekukholelwa ukuba eyokuqala ngubani wayivula - yi Pythagoras, nangona ubungqina ngqo yaye akukho bungqina kwalo. Kukho ubungqina kuphela. Ezifana Nicomachus Gerazsky libhekisela Pythagoras, umsebenzi wakhe.

Kulo mzekelo, kukho omnye omdala phindo itafile kumacwecwe odongwe, ogama ubudala malunga 4-5 injengeminyaka eliwaka, kwaye kuye kwafunyaniswa kwiBhabhiloni yamandulo. Xa intliziyo yalala inkqubo sexagesimal yokubala. Uluhlu njenge inkqubo lokugqibela yokubala kwafumaneka China ngo-305 BC. Ngoko ke, phendula ngokucacileyo lo mbuzo, "Ngubani owavela itafile lophindaphindo" - ngeke isebenze.

Ukuza kuthi ga ngoku, le theyibhile phinda ibizwa "etafileni kaPythagoras" kwaye ibukeka isikwere ogama macala babonise kunye neendleko zomsebenzi yabo iiseli.

Siqala uqeqesho

Abazali abanabantwana baya esikolweni, kungekudala emva koko kufuneka uncede umntwana wakho afunde nokuqonda itafile phindo. Ukufumana isifundo wayo, umntwana asele elwazi ukudibanisa nokuthabatha indlela, unalo ufifi imisebenzi zezibalo.

Le theyibhile phinda abantwana kufuneka lusekelwe ezixhasayo, echaza ukuba kutheni oku kuyimfuneko. Kufuneka usebenzise umzekelo ukuze umntwana kwinto yokuba ulwazi itafile singakwazi lula ekwenzeni imisebenzi ethile. Umzekelo, ukuba isitora iiphakheji ezintathu yeelekese kwi yempahla nganye enetshokoleti 6, ngoko ukufunda ngokukhawuleza ngeelekese, akukho mfuneko yokuba ukubala nganye nganye, nande ezintathu ukuya kwezintandathu, uze ubone kwangoko isiphumo.

Ukuqalisa itheyibhile ukufunda, umntwana kufuneka baqonde kakuhle amanyathelo phindo. Kuyimfuneko ukuba achaze kuqala umgaqo ekubaleni. Oko kukuthi, umzekelo, ukuba ufuna 3 * 8, kuya kuba kulingana efanayo njengoko 8 + 8 + 8. Ngokusekelwe imizekelo ezinjalo umntwana kufuneka bafunde kwaye uqonde umgaqo-phindo.

Xa isiseko dismantle, kwaye umntwana afunde iinkqubo, kuyimfuneko ukuqala iitheyibhile vyuchivaniyu phindo

Funda ilula kwaye kulula

Ngentloko ithebhile - nzima. Umntwana kufuneka abe nomdla, ngoko ke inkqubo yokufunda iza kuba lula. Ngoko ke, sifunda phindo itafile kunye nenzala kunye novuyo. Kukho iintlobo ezininzi imidlalo ezinxulumene etafileni sifundo. Kuxhomekeke ingaba, encediswa channel Umbono umntwana efunda ulwazi ngcono nangokukhawuleza, isifundo kwenzeka. itheyibhile Multiplication ngohlobo imidlalo ziya kuba umdla kwaye lula ukuyiqonda.

Kukho iindlela ezintathu okuqonda:

• ebonwayo;
• ukuva;
• kinesthetic.

Ukuba umntwana uluvo olubonakalayo eziphuhlileyo ngakumbi umjelo, kuyimfuneko ukuba ukujonga etafileni nezifundo zakhe. Uyakwazi akuxhome itafile zokwexeshana kweli gumbi. Ukunakana into ebonwayo ukukhawulezisa inkqubo, nokukhumbula badlule lula.

Canal ukuva - lulwazi uluvo ngakumbi eziviwayo. Ukuza kuthi ga ngoku, kukho iingoma ezininzi kunye nemibongo ejoliswe ukufunda. Ngoko ke, kuya kuba lula umntwana ukufunda itafile, ukuba ekhoyo ngokweembono walo eziviwayo.

Xa imbono kinesthetic imfuneko ukuyiphatha yonke, ukuze bazive ezandleni zenu. Ngoko ke le theyibhile, kungcono nomfanekiso isifundo. Umzekelo, amalungiselelo phezu iipleyiti, iityhubhu okanye naziphi na ezinye izinto kunye nokucacisa umgaqo-phindo.

Ifihlo iitafile phindo

Le phindo etafileni ngohlobo umdlalo - olukhulu abantwana besikolo samabanga aphantsi. Ukukhumbula udlule lula xa udibanisa ukufunda iziqalelo umdlalo. Xa abambe itafile elide inxaxheba memory ngoomatshini. Noko ke, zokunkqaya lula ukwenza ukusetyenziswa ngcono indlela associative.

Ezi thebhile sifundo phindo kuya kuba lula ukuba usebenzisa:

• isihobe;
• iingoma;
• amakhadi;
• komsindo nevidiyo;
• simulators intanethi.

Kukho kwakhona iindawo ezifihlakeleyo kwi phindo, umzekelo, inani 9, sisazi ukuba, simele sihlolisise itafile ngokukhawuleza.

Imihobe kunye Songs

Multiplication itafile for kids baya kufunda ngomdla, ukuba nomdla bomntwana. Kukho imibongo emininzi kunye iingoma, apho vyuchivanii bawankqaya itafile phindo. Kwindinyana ezinjalo rhyme a sixelelwa malunga ukuphinda-phindwa kwamanani amabini kwaye ngenxa yazo. vesi Kamva uya kukhonza umbutho, sikhumbula ukuba kuya kuba lula ukwazi isiphumo.

Abambe le imibongo neengoma, bafunde itafile phinda kunokuba lula yaye ngokukhawuleza.

amakhadi

Ukudlala amakhadi ngempumelelo xa itafile sele kufuneka ukuba bafunde kwaye bazise olu lwazi automatism.

The Game: amakhadi Business ngemizekelo ayiphendulwanga. Tyhila iphepha icala ungenanto phezulu, mix kunye nabantwana zithathwa enye kwenye. Leli khadi, umntwana kufuneka baphendule - ukusombulula umzekelo. Ukuba impendulo echanekileyo, ikhadi isusiwe, ukuba impendulo ayichanekanga okanye kunikwa, ngoko ke ikhadi luphinda lubuyiselwe kubathathi-umdlalo. Ngenxa yoko, le mizekelo ekupheleni komdlalo, nto leyo ibangele ubunzima ekuphenduleni, iingxaki ngoko kubo, abantwana phinda nokomeleza nzima eziphathekayo kubo.

Phawu lo mdlalo kukuba uyakwazi ukuthatha amakhadi abasuka lonke itafile phindo, okanye khetha enye kuphela inani elithile, uze udibanise ngakumbi.

Ngaloo ndlela idlala, abantwana kubuphucula ubuchule babo baze bawazise kubo automatism.

Imfihlelo phindo etafileni 9

Phindaphinda naliphi na inani ukusuka ku-1 ukuya kwi-10 ukuya 9 ngeminwe. Ukulungiselela le njongo kufuneka ukuba kufutshane izandla zozibini ngeminwe ngqo kunye neenzwane ngengqondo babalwayo ngokulandelelana ukusuka ku-1 ukuya kwi-10 Ke kaloku, ukuze nande, isi-6 ukuya ku-9, kuyimfuneko ukuba aluphakamise (okanye ukugoba) ngomnwe wesithandathu. Sibala inani iminwe elinebaxiweyo i yesithandathu - baya kuba-5, yaye emva - 4, wabeka kunye nokufumana amanani 54. Ngendlela efanayo yaye isiphumo kungabalelwa ukuba naliphi na inani kwi uluhlu izihlandlo ezilishumi inani 9.

Uphononongo ukususela kokulula ukuya koko kuntsonkothileyo

Funda i table phinda kubhetele ukuqala ukusuka amanani ezilula, okt kunye neyunithi. Waqala ukufundisa itafile amanani lula, umntwana akabi waphelelwa ngumdla wokufunda. Kwaye ukuba uqale ngamanani-10, 9, phezu koko, ungaphulukana ukholo ngokwabo nokuqeqesha ukuya phambili kuya ukuya emsebenzini.

Ekuhloleni phinda ngamanani 1, 2, 3, umntwana uyakwazi xa kusenziwa ukuqinisekisa ukuchaneka izigqibo, kwaye sifunde kunye nenani 9, phantse ukuqinisekisa ukuchaneka bekuya kuba yingxaki.

Ukusebenzisa sikwere bakaPythagoras, uze ufunde kwitheyibhile into 6, imfuneko ecacileyo, ipeyinti oluhlaza sele bafunda imizekelo uze ubone ukuba yintoni akasalisa obungaka. Ngaphambi koku, ahlawule ingqalelo umntwana xa utshintsha izinto ubeka umphumo iya kuba enye, oko kukuthi, ukuba 2 * 9 = 18, ngoko 9 * 2 = 18.

Olugunyazisiweyo xa befunda indumiso nokukhuthaza. Musa ukumthethisa okanye ukohlwaya - kodwa kuphela umntwana kukumka kwiimfundiso itafile, yaye ke uya kunikwa kuye ebunzimeni.

Engaqhelekanga kwaye umdla

Ngokufundisisa itafile kaPythagoras, unako ukubuyela kwisikolo samabanga aphakamileyo kwaye ufumanise ukuba yintoni na imfihlelo kukho itafile phindo.

Ekupheleni kwale 90 yama-20 umphengululi wenkulungwane A. A. Matveevym yaqanjwa indlela yokunikezela amanani kumfanekiso graphic. Ngokusekelwe iimfundiso zakhe 'Kate "wadalwa ngomfanekiso obucacileyo bokuba itafile phindo.

Le ndlela: amanani (iziphumo column phindo) zibonakala tye (oda reverse), kwaye ngokuthelekisa amanani omnye komnye, ngaphezulu okanye ngaphantsi, ukuba ekhowudiweyo ngokulandelelanayo, uphawu lokudibanisa okanye lokucutha.

Esebenzisa le ndlela, siyabona ukuba etafileni phinda i amanani zokwakha ubhalo kwinkqubo polar apho iingenelo neengozi yokutshata ellipses ezimbini wokwephuka ezahlukeneyo. Kubonakala ukuba etafileni phindo luhlobo epheleleyo imizobo yalo kunye wokwephuka.

Ukufunda kunye abambe neetafile uphinda-phindo - wokuba kunye kwisigaba ephambili kwindawo ikharityhulam. Olu lwazi luya kufuneka isikolo liphela kwixesha elizayo iza kwenza kube lula kwezinye ngamaxesha zobomi. Ngoko enyuka le theyibhile? Uluhlu-phinda nokwahlula-hlula, njengoko abaninzi bekholelwa, eyasungulwa kaPythagoras. Noko ke, ukungabikho kwemisebenzi ukubhalwa imibuzo nzulu esi sehlo ichanekile. Kulo mzekelo, ngokungathandabuzekiyo, kunye netafile phindo eyaya, musa aphazamisane ukusetyenziswa isicelo kwizifundo zakhe.