Lo msebenzi - a ... Math: imisebenzi. impendulo ingxaki

Ukususela ngelo xesha lakalokunje kumazwe amaninzi, kukho utshintsho kwemfundo zemathematika, ingxaki yemigomo kwimathematika kwisikolo sele enkulu nebalulekileyo kakhulu kuphuhliso yokufundisa. Ukwazi ukuba ukusombulula iingxaki kumi kunazo ngokumangalisayo karhulumente wemfundo. Namhlanje umfundi kunye nomfundisi ukuze siqonde injongo ikhosi yesikolo lemathematika?

abafundi imfundo

Phantse bonke abafundi bacinga ukuba xa sifumana yesisombululo ekunene, kwaye umsebenzi ufumane impendulo iyafana noko ecetywayo kwincwadi kwenziwa umsebenzi wabo, ungakwazi ukulibala ngale ngxaki.

Umfundi okanye utitshala akanayo ithathele ingqalelo into yokuba indima umsebenzi ngamnye yangempela ukuze baphuhlise izakhono yokuqhelaniswa kwiimeko ingxaki, ukwandisa ulwazi kunye namava. Ukuba akuyihlawuli ingqalelo nokuhlaziya ulwazi alufumeneyo, oko ephazamisa inkqubo yokucinga zemathematika, inceda ukwehlisa izakhono zokuvelisa.

Kodwa ngaphambi kokuba ukujongana nale mba, kufuneka ufumanise ukuba yintoni ingxaki kwaye yintoni indima yayo kuqeqesho.

Yintoni na ingxaki

Eli gama liye iinguqulelo ezininzi. Cinga omnye wabo isicelo kwimathematika. apha umsebenzi - it imeko ingxaki (question) ekufuneka iqwalaselwe ngokusebenzisa izakhono ezithile, ulwazi kunye reflection. Le njongo leyo phakathi kwemida imeko yengxaki, kuyimfuneko ukuba ukufezekisa, ngokunjalo nemiqathango kunye neemfuneko na.

Ngenxa yoko, ukusombulula le ngxaki - oko kuthetha ukuguqula le meko eziyingxaki okanye adize ukuba ngokutsha ezinjalo kwezi meko akunakwenzeka. Kubalulekile ukuchaza inkqubo yokusombulula ingxaki nje umsebenzi ngengqondo ejoliswe ekufezekiseni le njongo.

ingxaki format

Xa ingxaki zonke izibalo isigqibo sokwabela yinxalenye yale meko, imithetho inguqu, injongo afunekayo okanye isiphelo. Isigqibo ngokwayo inokuchazwa ngeendlela ezahlukeneyo:

a) nobudlelwane imfundo phakathi amacandelo meko (umzekelo, xa kufuneka ufumanise ukuba zeziphi izinto ezinkulu);

b) imo yokugqibela meko (umzekelo, ukuqokelelwa puzzle);

c) nokuba kufunyanwe ulwazi olutsha (umzekelo, umzekelo ngesigqibo).

Indima umsebenzi uqeqesho

Ekubeni le ngxaki - le meko ingxaki efuna isisombululo, indima yayo yokufunda yabantu kubaluleke kakhulu. Ngoko ke, ngoncedo wayo, nto ibonisa umbuzo ithiyori - ukufunda, wacacisa imixholo yazo. Imithambo elula ukuba lwenziwa kwi template enika ithiyori, nokwenziwa ezi zibakala iyazalisekiswa. Umceli-mngeni kunye nesisombululo lenza ubuchule abafundi 'ukuya kwiimeko ezintsha, ukuqokelela ulwazi ukwenza eminye imisebenzi, okanye ukuhlola kwiinkalo ezintsha inzululwazi kunye nolwazi leyinene.

iinjongo Ukufunda nge umsebenzi

Lo msebenzi - sisixhobo esisetyenziswayo kuqeqesho eyenzelwe umdla ukukhuthaza abafundi ukwenza ingcamango zabo umfuziselo zezibalo. Kakuhle ubambe, oko sibonisa iindlela zokufundisa mihla, kuba sisigqibo iinjongo ezininzi zokufunda. Umzekelo, Imisebenzi (Grade 7) ukuze zisetyenziswe izifundo izihloko ezitsha okanye ulawulo (self) ulwazi, uphuhliso umdla kwimathematika. Okona kubalulekileyo, bakhonza ukuqhelanisa umfundi kunye nemisebenzi search sokuyila, uphuhliso yokucinga kwakhe logic.

Iingxaki nezisombululo

Solution kwenzeka ngokwamabakala amane:

1. Ukuqonda iimeko zomsebenzi, kwakunye amabakala alo ngabanye.
2. Ukwakhiwa isicwangciso isisombululo.
3. Ukwenziwa kwesicwangciso xa befundisa yaye onke amalungu awo.
4. izisombululo Final verification, nokuxoxa ngenjongo ekufundeni umbandela, ebonisa ukuba kunokuba luncedo kwixesha elizayo uphuhliso eminye imisebenzi.

Ukuze ufumane isigqibo esifanelekileyo, kufuneka ukuba bammise phambi ngokucacileyo yonke imeko olucetywayo lo msebenzi. Kufuneka ufumanise ukuba linikiwe, kufuneka ufumane. Kuyanconywa ukuba achaze osengqondweni ecacileyo, oko kuya kunceda ukuchonga ngezisombululo ezinokwenziwa. imisebenzi izibalo ntuthuko, leyo isonjululwe ukucinga, isicwangciso sikuvumela ukuba ubone kwicala elichanekileyo abangaboniyo.

Le nkqubo ezibonisayo

Ukuze isebenze ngokupheleleyo umsebenzi ngengqondo kwabafundi, kucetyiswa ukuba usebenzise ubuchule yayisetyenziselwa ebizwa ngokuba "inkqubo ngapantsi". Le ndlela iquka imisebenzi ezincinane okanye imibuzo ukunika kwicala elichanekileyo sokuqukuqela yokucinga, ukwenza uphendlo ngocwangco isicombululo. Task isisombululo ifuna indibanisela nobuchule, oko kukuthi, ukukwazi ukwenza isigqibo esisiso ngokwemiqathango ulwazi oversaturation. Le search nokukhetha kufuneka ligxile. Ukhetho iza kwenziwa eninzi ngokukhawuleza kwaye kube lula, ukuba bhekisa kwi isifaniso efanelekileyo. Umzekelo, ungabuza umbuzo: "? Phi ngaphambili nazo into efanayo" Ukusebenzisa indlela mfanekiso lapho zokusombulula iingxaki, kucetyiswa ukuba batshintshe amagama abo. Sebenzisa le nqubo kuhle xa nisaqala bokusombulula ingxaki. Ukuba kunokwenzeka ukuthelekisa lo msebenzi abo isigqibo ngaphambili, ukufana kweemeko kunye neendlela sisombululo ukhokela abafundi indlela etyenenezileyo, nokuphuhlisa ukuvela izimvo undiqhamisile ukulungiselela Plan.

Iindlela zokusombulula iingxaki zezibalo

Ekubeni le ngxaki - yinto umbuzo (imeko) ukuba ifuna ukulungiswa, koko ufumane impendulo echanekileyo ingxaki izibalo - oko kuthetha ukuba ukuchonga ukulandelelana kwezibonelelo kwimathematika, ezisetyenziswa ukuze kuveliswe umphumo echanekileyo. Ukuza kuthi ga ngoku, kukho iindlela ezininzi zokusombulula iingxaki zezibalo:

1. Arithmetic. Impendulo kubangelwa ukwenza imisebenzi zezibalo kumanani ukuba lo msebenzi. Ngoko ke, ingxaki efanayo zingaqondwa ingasombululwa kusetyenziswa iindlela ezahlukeneyo arithmetic, ezahluke ngayo ingqiqo ingxabano.
2. Aljibra. Impendulo ngokuncama setting up nokusombulula zibalo. Okokuqala kumthamo kunye nokuseka therebetween zonxibelelwano, yaye emva koko elawulwa iincwadi variables ebonisa kubo, benza ngayo lenxaki uncedo nokusombulula ngayo. Emva koko, isisombululo uvavanyo uze ubhale impendulo.
3. Luhlangene. Le ndlela ibandakanya zombini izibalo kunye nendlela aljibra yokusombulula iingxaki.

UPawulos

ingxaki Mathematical - nemeko ngxaki, nto leyo isonjululwe ukusetyenziswa kobuchule zezibalo zifuna izakhono ezithile kunye nolwazi. Imisebenzi zahlulwe zibe ezilula kunye nezintsonkothileyo, kuxhomekeka kwinani yezenzo. Xa umsebenzi isigqibo kubandakanya ukusetyenziswa intshukumo enye kuphela, sithetha umsebenzi olula. Kwimeko linyathelo-mbini iya siya kugxininisa imisebenzi zecandelo. Kodwa abo nabanye ingasombululwa ngeendlela ezininzi.

Ngesisombululo umsebenzi ngeendlela ezahlukeneyo kuluncedo kakhulu, ngenxa yokuba kulo mzekelo baqalise umsebenzi imisebenzi yabo eyahlukeneyo yengqondo, ezifana ezifana kuhlalutywe, kuyondelelaniswe, uthelekiso, kunye nabanye. Oku, kunempembelelo entle ekuphuhliseni yokucinga kwemathematika kubafundi. Ukuze ngokufanelekileyo Ukusombulula umsebenzi, oko kuyimfuneko ukuqhuba uhlalutyo kuyondelelaniswe imeko yengxaki, kukho kwakhona le ngxaki, ukufumana enye indlela ezenza ukuba nilicombulule, esebenzisa izifaniso uqikelelo. Omnye kufuneka sihlale sikhumbula ukuba nayiphi na ingxaki leyo isonjululwe, wena kudingeka nje ukuba afumane indlela efanelekileyo, esebenzisa ulwazi kunye nezakhono bangenayo kwinkqubo yokufunda.