Amene anabwera ndi tebulo chulutsa? Chulutsa tebulo ankasewera

Kumvetsetsa chulutsa tebulo akuyika maziko liwunikidwenso wa masamu. Kudziwa zinthu zimenezi, maphunziro adzakhala mabvuto. Choncho, ngakhale ku pulayimale ayenera kuphunzira tebulo chulutsa.

Amene anabwera ndi tebulo chulutsa?

Kwa nthawi yoyamba mu mawonekedwe mwachizolowezi ku gome chulutsa anaonekera mu bukhu Nikomaha Gerazskogo (I-II zaka BC ...) - "Mau oyamba masamu."

Choncho amene anabwera ndi tebulo chulutsa? Akukhulupirira kuti munthu woyamba amene analitsegula - ndi Pythagoras, ngakhale umboni mwachindunji ndipo palibe umboni wa zimenezi. Pali okha umboni umboni. Monga Nicomachus Gerazsky amatanthauza Pythagoras, mu ntchito yake.

Pankhaniyi, pali wina wa wamkulu chulutsa tebulo pa mapale amene zaka za 4-5 zaka chikwi, ndipo wapezeka ku Babulo wakale. Pa mtima za iyo ziri sexagesimal dongosolo la mawerengedwe. Table monga dongosolo decimal wa mawerengedwe chinapezeka mwa China mu 305 BC. Choncho bwino funsolo "Ndani anapanga tebulo chulutsa" - sizigwira ntchito.

Pakali pano, tebulo chulutsa amatchedwa "tebulo la Pythagoras" nayang'ana apakati amene adzamenyane ndi zinthu anasonyeza ndi ndalama za ntchito yawo mu maselo.

Timayamba maphunziro

Makolo amene ana ku sukulu, posachedwa kapena mtsogolo ndi kuthandiza mwana wanu kudziwa ndi kumvetsa tebulo chulutsa. Kupeza phunziro ake, mwana kale amadziwa kuwonjezera ndi kuchotsera, ali chithunzithunzi cha ntchito masamu.

Tebulo chulutsa ana zikhazikitsidwe chilimbikitso chifukwa chimene izi ndi zofunika. Muyenera kugwiritsa ntchito chitsanzo kubweretsa mwana chakuti nzeru pa tebulo ife chingathandize kuphedwa kwa ntchito zina. Mwachitsanzo, ngati sitolo ndi phukusi atatu a maswiti aliyense phukusi 6 chokoleti, ndiye mwamsanga kuphunzira mmene maswiti, si koyenera kuwerenga iwo mmodzi ndi mmodzi, ndi kuchulukitsa zitatu kwa chimodzi, ndipo pomwepo kuona zotsatira.

Kuyamba kuphunzira tebulo, mwana ayenera kumvetsetsa akamanena za njira chulutsa. M'pofunika woyamba kufotokoza mfundo ochuluka. Kuti Mwachitsanzo, ngati mukufuna 3 * 8, zidzakhala wofanana ndi mofanana 8 + 8 + 8. Pamaziko a chitsanzo chawo cha mwana wabwino ayenera kuphunzira ndi kumvetsa mfundo ya chulutsa.

Pamene m'munsi ankaiphwasula, ndi mwana waphunzira njira, m'pofunika kuyamba matebulo vyuchivaniyu chulutsa

Phunzirani yosavuta zosavuta

Lowezani tebulo - zovuta. Mwanayo ayenera kukhala ndi chidwi, ndiye kuphunzira kudzakhala kosavuta. Choncho, tikuphunzira tebulo chulutsa ndi chidwi ndi chisangalalo. Pali mitundu ingapo ya masewera zokhudzana tebulo kuphunzira. Malingana ngati, mothandizidwa ndi njira maganizo a mwana amaphunzira zambiri bwino ndipo mofulumira phunziro chikuchitika. Chulutsa tebulo mu mawonekedwe a masewera adzakhala chidwi ndi zovuta kumvetsa.

Pali njira zitatu nzeru:

• zithunzi;
• Makutu;
• kinesthetic.

Ngati mwana kwambiri otukuka zithunzi maganizo a njira, m'pofunika kuyang'ana pa tebulo ndi maphunziro ake. Inu kukacheza tebulo zinawonongeka mu chipinda. Zithunzi kuzindikira kufulumizitsa ndondomekoyi, ndi kukumbukira kudali kosavuta.

Makutu Ngalande - chikupitiriza Makutu kuzindikira zambiri. Pakali pano, pali nyimbo zambiri ndi ndakatulo umalimbana kuphunzira. Choncho, mwana simudzavutika kuphunzira tebulo, ngati alipo mu maganizo ake Makutu.

Pamene maganizo kinesthetic kufunika kukhudza zonse, kumva mmanja mwanu. Umu ndi gome, ndi bwino kuti muzione phunzirolo. Mwachitsanzo, kukonza pa mbale, cubes kapena zinthu zina zilizonse ndi kufotokoza mfundo chulutsa.

Mfundo matebulo chulutsa

Tebulo chulutsa mu mawonekedwe a masewero - kwambiri ana pulayimale. Kukumbukira likuchoka kosavuta ngati inu kuwonjezera kuphunzira miyambo ya masewera. Pamene kuloweza tebulo yaitali nawo kukumbukira makina. Komabe, kuloweza zosavuta azigwiritsa ntchito njira associative.

Magome kuphunzira chulutsa kudzakhala kosavuta ngati inu ntchito:

• ndakatulo;
• nyimbo;
• makadi;
• wailesi ndi vidiyo;
• Intaneti simulators.

Palinso zinsinsi mu chulutsa Mwachitsanzo, chiwerengero 9, podziwa kuti, ife amaufufuza tebulo mofulumira.

Ndakatulo ndi Songs

Chulutsa tebulo ana adzaphunzira ndi chidwi, ngati chidwi mwanayo. Pali ndakatulo ambiri ndi songs, amene vyuchivanii analoweza tebulo chulutsa. Chonchi mavesi ndi nyimbo tikuuzidwa za chulutsa manambala awiri ndi zotsatira zawo. Kenako mavesi adzatumikira gulu podziwa kuti kudzakhala kotheka kudziwa zotsatira.

Kuloweza ndi ndakatulo ndi nyimbo, kuphunzira tebulo chulutsa kungakhale kosavuta komanso mofulumira.

makadi

Kusewera makhadi wogwira pamene tebulo kale chofunika kudziwa ndi kubweretsa zimene ankadziwazo automatism.

The Game: makadi Business ndi zitsanzo osayankhidwa. Titembenuzire mbali akusowekapo mmwamba, kusakaniza ndi ana akukopeka mmodzi ndi mmodzi. Kukoka khadi, mwanayo Awonenso - kuthetsa chitsanzo. Ngati yankho ndi zolondola, khadi atachotsedwa, ngati yankho ndi olakwika kapena asanaganizire, ndiye khadi amagwanso masewera. Motero, zitsanzo tiri pa mapeto a masewera, amene anachititsa vuto adayankha, kotero kuthetsa iwo, ana kubwereza kulimbikitsa nkhani zovuta.

Mbali ya masewera izi kuti inu mukhoza kutenga makadi onse lonse tebulo chulutsa, kapena kusankha imodzi yokha nambala yeniyeni, ndipo onjezerani kwambiri.

Choncho kusewera, ana mukhale luso lawo ndi kuwabweretsa iwo kwa automatism.

Chinsinsi cha tebulo chulutsa 9

Chulukitsani nambala iliyonse kuyambira 1 mpaka 10 9 mungathe zala. Chifukwa chaichi m'pofunika kuika pafupi manja onse ndi zala molunjika ndi zala maganizo owerengedwa successively kuchokera 1 mpaka 10. Tsopano, kuti muchuluke, mwachitsanzo, 6 ndi 9, m'pofunika kukweza (kapena unakhota) chala chimodzi. Ife awerenge chiwerengero cha zala anamuukitsa kwa chimodzi - adzakhala 5, ndipo pambuyo - 4 pamodzi ndi kupeza manambala 54. Momwemonso ndi chifukwa akhoza kuchita masamu kuti nambala ina mu osiyanasiyana kakhumi chiwerengero 9.

Kuphunzira kuchokera ku zocholoŵana ndi

Phunzirani tebulo chulutsa Ndikwabwino kuyambitsa kwa manambala yosavuta, mwachitsanzo, ndi pachikhalidwe cha. Iye adayamba kuphunzitsa tebulo manambala mbandakucha, mwana sasiya chidwi kuphunzira. Ndipo ngati muyamba ndi manambala 10, 9 M'malo mwake, mukhoza n'kusiya chikhulupiriro mwa iwo okha ndi maphunziro kowonjezereka kupita kuntchito.

Mu kuphunzira chulutsa ndi manambala 1, 2, 3, mwana akhoza kuchita kutsimikizira kulondola kwa zochita, ndipo phunzirani kwa ndi chiwerengero 9, pafupifupi kutsimikizira kulondola adzakhala mabvuto.

Ntchito lalikulu la Pythagoras, ndi kuphunzira tebulo kuti chinthu 6, kufunika momveka, utoto wobiriwira kale zitsanzo ndi kuona zimene zatsalira si kwambiri. Izi zisanachitike, kulabadira mwanayo kuti pamene inu kusintha zinthu amayika zotsatira zake zidzakhala chomwecho, mwachitsanzo, ngati 2 * 9 = 18, ndiye 9 * 2 = 18.

Kuvomerezedwa ndikamawerenga matamando ndi kuwalimbikitsa. Kodi sangakalipire kapena kuwalanga - ndi mwana yekhayo kusiya ziphunzitso za tebulo, ndiyeno kudzapatsidwa kwa iye ndi vuto lalikulu.

Zachilendo ndi chidwi

Mwa kuphunzira tebulo Pythagorean, iwe ukhoza kupita ku sekondale ndipo tikupeza zomwe ziri chinsinsi pali tebulo chulutsa.

Kumapeto kwa 90s wa 20th Century katswiri A. A. Matveevym kupangidwa mwa posamutsa manambala mu chifanizo zojambulajambula. Kuchokera pa ziphunzitso zake "Kate" analengedwa ndi fano mwatsatanetsatane za tebulo chulutsa.

The njira: manambala (zotsatira ndime chulutsa) zikugwirizananso horizontally (kuti n'zosiyana), ndi kufanizitsa chiwerengero wina ndi mzake, mochuluka kapena mochepa, ndi ndiyotengera motero, kuphatikiza lowani kapena opanda chizindikiro.

Kugwiritsa ntchito njira imeneyi, tikuona kuti mu tebulo chulutsa ndi manambala yomanga zomveka mu dongosolo kumalo ozizira imene ubwino ndi kuipa kwa kupanga ellipses awiri polarity osiyana. Iwo likukhalira kuti tebulo chulutsa ndi kwathunthu mtundu wa zithunzi zake ndipo polarity.

Kuphunzira ndi kuloweza matebulo chulutsa - ndi kuvomerezedwa ndi siteji kiyi m'ndime a sukulu. Kudziwa zimenezi zidzafunika mu sukulu ndi m'tsogolo kovuta ena munthawi ya moyo. Choncho amene anabwera ndi gome? Zamkatimu chulutsa ndi kugawikana, monga ambiri amakhulupirira, lomwe linakhazikitsidwa ndi Pythagoras. Komabe, kupanda ntchito zalembedwa mafunso wasayansi ndi Attribution ndi zolondola. Pankhaniyi, mosakaika, amene adakwera kudza ndi tebulo chulutsa, saletsa ndi ntchito ndi ntchito maphunziro ake.