ʻO wai ka mea hele mai me ka multiplicationʻaina? Multiplication papaʻaina playful

Naʻauao multiplication papa hoolakolako i ke kahua no ka hou study o ka makemakika. Me ka ike, ke aʻo e e problematic. No laila, a hiki ma ke kula haʻahaʻa pono e aʻo i ka multiplicationʻaina.

ʻO wai ka mea hele mai me ka multiplicationʻaina?

No ka mea manawa mua i loko o ka mau ano o ka multiplication papaʻikeʻia i loko o ka puke Nikomaha Gerazskogo (I-II kenekulia BC ...) - "Introduction i ka makemakika."

No laila, i hele mai me ka multiplicationʻaina? Ua Ua manaoio aku i ka mea mua kekahi nana i wehe ia - o Pythagoras, eia nae pololei hōʻike, aʻaʻohe hoike o keia. Aia nā wale circumstantial hoike. E like me Nicomachus Gerazsky pili ia i Pythagoras, ma kana hana.

Ma keia hihia, he mea kekahi o ka mea kahiko multiplication papaʻaina ma luna o ka lepo o na papa io, nona na makahiki ma kahi o ka 4-5 tausani makahiki, a me ka mea, ua loaʻa i loko o kahiko Babulona. Ma ka naau o ka mea moe sexagesimal nenoaiu o ka ho omaulia. Ua loaʻa Table like me ka kekimala nenoaiu o ka ho omaulia ma Kina i ka 305 BC. Nolaila, maopopo iho la i pane i ka nīnau "Owai invented ka multiplication papaaina" - 'Aʻole e holopono.

I ka lā, ua kapaia ka multiplicationʻaina he "papaaina o Pythagoras" a me ka nānā i ka huinahalike kona aoao i hōʻike kumumea a me na koina o kā lākou hana i loko o na keena.

Mākou hoʻomaka aʻo

I nā mākua o kona mau keiki hele i ke kula, ma neia hope aku i ke kōkua i kāu keiki aʻo, a maopopo i ka multiplicationʻaina. Kaniak kona like, i ke keiki mua ike pehea e hui aku me ka unuhi i, i ka manaʻo o ka makemakika hana.

Ke multiplicationʻaina no ka poe keiki, e nānā 'ana i ways, wehewehe no ke aha la keia mea pono. Oe Pono e hoʻohana i kumu hoohalike, e lawe mai i ke keiki i ka mea iʻike i ka papaʻaina, ua hiki ke kōkua i ka hooko ana i kekahi mau hana. No ka laʻana, ina ka hale kūʻai mea ekolu pūʻolo helu o ke kanakē i loko o kēlā me kēia AEeAaOA no 6 chocolates, laila, e koke aʻo pehea ka nui o ke kanakē, ia mea,ʻaʻole e pono ke helu ia kekahi e kekahi, a me ka hoʻonui ekolu i eono, a koke ike i ka hopena.

E hoʻomaka ke aʻo 'papaaina, e ike i ke keiki i ka pā o ka multiplication me ke kapuai hookahi. He mea pono e wehewehe mua i ka rula o ka helu. Ia mea, no ka kekahi laʻana, ina e pono 3 * 8, ka mea, e like no ka ia me ka 8 + 8 + 8. Ma ke kumu o ia e aʻo a me ka ike i ka rula o ka multiplication examples o ke keiki maikai.

I ka wā o ka waihona ipu dismantled, a me ke keiki i aoia hoi ke kaʻina hana, ia mea pono e hoʻomaka vyuchivaniyu multiplication papa

E aʻo noonoo ole a me ka oluolu

Hoʻopaʻanaʻau i ka papaʻaina - paakiki. Ke keiki e e hoihoi i loko, a laila, ke aʻo kaʻina hana e e aho. No laila, ua aʻo i ka multiplicationʻaina me ka uku hoopanee a me ka olioli. He nui na ano o nā pāʻani e pili ana i ka maheleʻaina. Ke kaumaha ma muli paha, a me ke kōkua o ke Kanal pokole o ke keiki aoiaʻi oe i ka maikaʻi a me ka wikiwiki 'ike, ka study i wahi. Multiplication papaʻaina i loko o ka palapala o nā pāʻani e e hoihoi 'a me ka oluolu, e ike.

Aia he ekolu kaha o ka pokole:

• pilikia makapō;
• auditory;
• kinesthetic.

Inā ke keiki mea oi e hoʻomōhala ana i pilikia makapō pokole o ke kai, ka mea, he pono e nana i ka papaʻaina, a me kona mau haʻawina. Oe ke kau aku i kekahi makeshift papaʻaina i loko o ka lumi. Ke kākoʻo pokole oia i ke kaʻina hana, a me ka hoomanao ana i kekahi aho.

Auditory Canal - Ua increasingly auditory pokole ike. I ka lā, ua nui na mele a me ka poem pahuna ma këia. No laila, i ke keiki e e aho e aʻo i ka papaʻaina, ina ia mea i loaʻa i loko o kona auditory pokole.

A hiki i ka kinesthetic pokole o ka pono, e hoopa mai ia mea a pau, e manao i loko o kou mau lima. A ia mea me ka papaʻaina, ka mea i pono, e visualize i ka mahele. No ka laʻana, kuni ai ma luna o na papa, polū 'ole kekahi' ē 'ikamu a me ka wehewehe i ka rula o ka multiplication.

Mea huna o ka multiplication papa

Ke multiplication papaʻaina i loko o ka palapala o ka holoholona hihiu - nui no ka haʻahaʻa keiki kula. Hoomanao ana ia kekahi aho ina e hookui aku i ke ao ana o na kumu o ka laua. I ka memorizing i ka papaʻaina hou 'ole me mechanical iaiyoe. Eia naʻe, no ka oluolu memorization e maikaʻi hoʻohana o ka associative ina hana like.

Ka like multiplication papa e e aho ina oe hoʻohana:

• poetry;
• mau mele;
• pepa;
• nā leo a me ka wikiō;
• Pau online simulators.

Aia i kekahi mea pohihihi ma ke multiplication, no ka mea hoike, i ka helu 9, ka ike ana, ua hiki ke nana i ka papaʻaina wikiwiki.

Poem a me Songs

Multiplication papa no nā kao keiki, e aʻo me ka uku hoopanee, ina i ke keiki ka uku hoopanee. He nui poem a me nā mele, me ka i vyuchivanii hoʻopaʻanaʻau ka multiplicationʻaina. Ma ia he rhyme Verses i hai mai mākou e pili ana i ka multiplication o nā huahelu, a me ko lakou hopena. Hope Verses e malama aku ai i ka hui, e hoomanao hoi i ka mea e e hiki, e ike i ka hopena.

Memorizing ka poem a me nā mele, aʻo i ka multiplicationʻaina hiki e aho a me ka wikiwiki.

pepa

Pāʻani pepa ma ka laulā, i ka wa o ka papaʻaina e, ua koi 'ia ke aʻo a me ka lawe mai i kēiaʻike i ka automatism.

Ke Game: Business pepa me examples unanswered. E huli ma kaʻaoʻao hakahaka i, hui a me ka mea e holo ana na keiki kekahi e kekahi. Huki i ke kāleka, i ke keiki e pane - e hoʻoponopono i ka hana. Inā ka pane mea pololei, ua weheʻia ke kāleka, ina ka pane mea pololei ole paha i haawi mai ai, a laila, ua hoʻi ke kāleka i ka holoholona hihiu. E like me ka hopena, i ka examples mea ma ka hopena o ka holoholona hihiu, a kena ae la pilikia i ka i mai, no laila, hoʻoponopono ia hou, nā keiki 'oe a me ka hoʻohuiʻana paha i ka mea pilikia no ia.

Ka makamake nui o keia me ka mea e hiki ke lawe pepa mai nā ka holoʻokoʻa multiplication papa, a koho wale kekahi i ka kekahi helu, a laila, hui hou.

Ke'ōlelo pāʻani, nā keiki hone lākou nā mākau, a lawe mai ia lakou i ka automatism.

Ka ike ole ia o ka multiplication papa o 9

Hoonui i kekahi helu mai ka 1 a hiki i 10 i ka 9 hiki manamanalima. No keia mea hoi e pono ke kau ma na aoao elua me ka pololei manamana lima a me nā manamana wāwae mentally helu successively mai 1 i 10. Ano, i mea e mahuahua, e laʻa me, 6 i ka 9, ia mea pono, e hookiekie ae i ka (a hoʻohei) i ka ono o ka manamana lima. Mākou, e helu oia i ka helu o ka manamana lima, ua hoala hou i ka hora aono a hiki - ka mea, e ia 5, a ma hope o - 4, kau pu a loaa ka helu 54. Ma ka like, a me ka hopena hiki ke pōpilikia no kekahi'ē aʻe helu ma ka laulā o ka umi o ka helu 9.

A like, mai ka poe noonoo ole a hiki i ka luna '

E aʻo i ka multiplication papa mea maikaʻi, e hoʻomaka mai ka noʻonoʻo nui, oa me ka pa alima. Hoomaka ae la oia e ao aku i loko o ka papaʻaina i māmā helu, i ke keiki 'aʻole e lilo aku panee ma ka hoʻonaʻauao. A ina e hoʻomaka me ka nui 10, 9, ma ka mea ku ole, oe e lilo ka manaoio i ka lakou iho, a me ka hou aʻo e hele i ka hana.

Ma ka like o ka multiplication ma ka huahelu 1, 2, 3, Ua hiki ma ka mea e hōʻoia i ka pono o ka olelo hooholo, a ua aʻo mai me ka helu 9, ua aneane hōʻoia i ka pono makemake e problematic i ke keiki.

E ho ohana i ka hale o Pythagoras, a aʻo papaʻaina i ka ololi 6, o ka pono no ka mōakaaka, HW omaomao aʻo mua examples, a ike i Ka koe mea,ʻaʻole no ka nui loa. Prior i keia, e lohe i ka keiki i ka wā e hoʻololi i nā kumumea wahi i ka hopena, e ia i ka ia, 'o ia hoʻi, inā i ka 2 * 9 = 18, alaila 9 * 2 = 18.

OAXA ka wā këia hoolea a me ka paipai. Mai scold a hoʻopaʻi - ia mea wale nō i ke keiki huli aʻe, mai ke aʻo o ka papaʻaina, a laila ka mea, e hāʻawiʻia iā ia, me ka pilikia nui ma.

Hana a me ka hana hoihoi

Ma o ka Pythagorean papaʻaina, e hiki nō hoʻi i ke kula kiʻekiʻe, a loaʻa mai ka mea i ka ike ole ia he mea he multiplication papa.

I ka pau ana o ka 90s o ka 20th kenekulia haumāna A. A. Matveevym i invented ma ke ala o Ka hali 'loa i loko o ka Kimia kiʻi. Ma muli o kona aʻo ma "Kate" Ua hanaia e ka Kimia kiʻi o ka multiplication papa.

Ka papa hana: helu (kolamu multiplication hualoaʻa) e lewa horizontally (i loko o aʻe mea), a ma ke kapakai a me ka helu ana i kekahi i kekahi, oi a emi mai, e encoded pakahi, eia kekahi hana mana a me ka hua hoʻolawe.

E ho ohana i keia hana, ua hiki ke ike ia ma ka multiplicationʻaina mea he Logical kūkulu helu i loko o ka Polar'ōnaehana ma a na pros a me ka hooluolu ana o ho okumu i mau ellipses o kekahi polarity. Ua huli mai i ka multiplicationʻaina mea he holistic ano o kona kiʻi a me ka polarity.

Ke aʻo 'ana a me ka memorizing multiplication papa - he OAXA, a he kī ke kahua i loko o ka hooholo ana o ka laulā maʻamau. Uaʻike nō e pono ai ma ka kula, a me ka wā e hiki mai, e hana ia maʻalahi i loko o kekahi mau minute o ke ola. No laila, i hele mai me ka papaʻaina? Table o multiplication a me ka puunaue, e like me ka manaoio nui, i hoʻokumuʻia e Pythagoras. Eia naʻe, no ka nele o ka hoʻopaʻa pepa paʻi kiʻi hana o ke nä känaka 'epekema nīnau ka attribution mea pololei. Ma keia hihia, i lana ai, ka mea i hele mai me ka multiplication papa, mai i ālai ia 'aʻe me ka lawe, a pili i loko o kona haʻawina.