The aiki - a ... Math: ɗawainiya. matsalar amsar

Tun a wannan lokaci a cikin mafi yawan kasashen, akwai da garambawul na lissafi ilimi, matsalar da saitin a raga a makaranta lissafi ya zama wata babbar da muhimmanci sosai a ci gaba da koyarwa. Ability don warware matsaloli tsaye mafi daukan hankali halayyar da jihar ilimi. Yau da dalibi da kuma malamin ya fahimci manufar wata makaranta hanya na lissafi?

ilimi dalibai

Kusan duk makaranta ƴan zaton cewa a lokacin da muka sami dama bayani, da kuma aiki na samun amsar ne guda tare da abin da ake samarwa a cikin littafi, da aikin da aka yi, za ka iya manta game da matsalar.

Almajiri ko malamin ba la'akari da cewa rawar da kowane aikin tafasa saukar zuwa domin ci gaba fuskantarwa da basira a cikin matsalar yanayi, da kara yawan ilmi da kwarewa. Idan ba ka kula da sabunta bayanan da ilmi tsiwirwirinsu, shi lalace aiwatar da ilmin lissafi tunani, taimaka wa rage samar da basira.

Amma kafin mu magance wannan batu, dole ne ka gano abin da yake cikin matsala da kuma abin da yake da rawar a horo.

Mene ne matsalar

Wannan kalma na da mahara fassarori. La'akari da daya daga cikinsu ya shafi lissafi. a nan aiki - shi matsalar halin da ake ciki (tambaya) cewa bukatar a jawabi ta hanyar amfani da wasu dabarun, ilimi da kuma tunani. Wannan shi ne makasudin da cewa shi ne a cikin ikon yinsa, daga cikin matsalar halin da ake ciki, shi wajibi ne don cimma, kazalika da yanayi da kuma bukatun.

Saboda haka, don magance matsalar - yana nufin sake fasalin wannan matsala halin da ake ciki, ko kuma ta nuna cewa irin wannan maimaitawa a cikin wadannan yanayi ne ba zai yiwu ba. Yana da muhimmanci a ayyana aiwatar da warware matsalar kamar yadda wani shafi tunanin mutum aiki da nufin cimma burin.

format matsalar

A kowane ilmin lissafi matsalar yanke shawarar ware wani ɓangare na halin da ake ciki, canji dokoki, bukatar manufar ko ƙarshe. The yanke shawara da kanta za a iya bayyana a hanyoyi daban-daban:

a) ilimi tsakanin aka gyara daga cikin halin da ake ciki (misali, a lokacin da kuke bukata don gano abin da abubuwa mutum);

b) da karshe jihar na halin da ake ciki (misali, tarin wasanin gwada ilimi);

c) kamar yadda saye da sabon ilmi (misali, wani misali na yanke shawara).

Da muhimmancin da aiki a horo

Tun da matsala - wannan matsala halin da ake ciki da cewa na bukatar wani bayani, da rawar a mutum koyo yana da muhimmanci sosai. Saboda haka, tare da taimakon, shi misalta da msar tambayar tambaya - nazari, ya bayyana da abinda ke ciki. Ta hanyar sauki darussan da ake yi a kan wani template cewa yana da ka'idar, assimilation na facts aka samu. Da kalubale da kuma bayani shi Forms da dalibai 'ikon kewaya a sabon yanayi, da tattara bayanai da su na yin wasu ayyuka, ko kuma gano sabon fannonin kimiyya da ilmi na gaskiya.

Makasudin da aiki

The aiki - wani kayan aiki amfani da horo tsara don amfani da tilasta dalibai ta samar da su mas'ala ta a ilmin lissafi model. Yadda ya kamata halshen, shi ya bayyana a wani zamani hanyoyin koyarwa, domin shi ne mai yanke hukunci da yawa makasudin. Alal misali, Ayyuka (Grade 7) za a iya amfani a cikin binciken na sabon batutuwa ko da iko (kai) ilmi, da ci gaban sha'awa cikin ilmin lissafi. Mafi muhimmanci, suka bauta wa familiarize da dalibi da search da m ayyukan, da ci gaban da tunani da kuma dabaru.

Matsaloli da kuma mafita

Magani auku a matakai huɗu:

1. Fahimtar aiki yanayi, kazalika da ta mutum aka gyara.
2. Yi na bayani shirin.
3. Kisa da shirin a yi da kuma duk da sassa.
4. Karshe tabbaci mafita, duba da nufin Mastering littattafai, m cewa zai iya zama da amfani a nan gaba domin ci gaban sauran ayyuka.

Don samun dama yanke shawara, kana bukatar ka a fili gabatar da dukan halin da ake ciki samarwa a cikin aiki. Bukatar gano abin da aka ba su, kana bukatar ka sami. An shawarar da aka fayyace, mai bayyanannen sanin asalinmu, shi zai taimaka wajen gane yiwuwa mafita. ilimin lissafi ayyuka irin wannan ci gaba, wanda ake warware ta ma'ana tunani, da makirci ba ka damar ganin daidai shugabanci gani.

A tsarin tsokana

Domin optimally kunna shafi tunanin mutum aiki na dalibai, shi ne shawarar a yi amfani da didactic dabara da ake kira "ambato tsarin". Wannan dabara kunshi qananan ayyuka, ko tambayoyi da bayar da daidai shugabanci na kwarara daga cikin tunani, da yin wani ma'ana a search for mafita. Task bayani na bukatar a hade da damar iya yin komai, cewa shi ne, da ikon yin da hakkin zabi cikin sharuddan ilimi na oversaturation. Wannan search da kuma zabin da ya kamata a mayar da hankali. A selection za a iya za'ayi yawa sauri da kuma sauki, idan muka koma zuwa dace misalin. Alal misali, za ka iya tambaya: "Ina baya ci karo da wani abu irin wannan?" Amfani da hanyar da misalin lokacin da warware matsaloli, shi ne shawarar canza su wording. Aiwatar da wannan dabara ne mafi kyau a farkon matakai na matsalar warwarewa. Idan yana yiwuwa a kwatanta wannan aiki to da waɗanda aka yanke shawarar a baya, kama daga yanayin da hanyoyin da bayani shiryar da dalibai a kan dama waƙa, masu tasowa, da bayyanar da hayayyafa ra'ayoyi a shiri na Shirin.

Hanyar magance matsalolin ilmin lissafi

Tun da matsala - shi ne mai tambaya na (a halin da ake ciki) cewa bukatar a jawabi, sa'an nan sami daidai amsar a ilimin lissafi matsala - yana nufin a gane jeren arziki na lissafi, wanda ake amfani da tsamo daidai sakamakon. Don kwanan wata, akwai hanyoyin da dama domin warware ilmin lissafi matsaloli:

1. Ilmin lissafi. Amsar ne saboda yi ilmin lissafi aiki a kan lambobin da suke a cikin aiki. Saboda haka, wannan matsala na iya sau da yawa za a iya warware ta amfani da daban-daban ilmin lissafi hanyoyin, abin da ya bambanta a cikin dabaru na shaida.
2. Algebraic. Amsar ne a kudi na kafa da kuma warware lissafai. Da farko ware yawa kuma suka tsayar da sadarwar therebetween, sa'an nan gudanar canji haruffa a samansu su, suka sa up tare da su taimako lissafi da kuma warware shi. Bayan haka, gwajin bayani da kuma rikodin amsar.
3. Hada. Wannan hanya ya hada da duka biyu ilmin lissafi da kuma algebraic Hanyar warware matsaloli.

Summing up

Ilmin Lissafi matsala - matsala halin da ake ciki, wanda aka warware ta yin amfani da ilmin lissafi dabarun da bukatar takamaiman basira da ilmi. Ɗawainiya kasu kashi sauki da hadaddun, dangane da yawan ayyuka. Lokacin da hukuncin aiki shafi yin amfani da daya kadai mataki, muna magana ne game da wani sauki aiki. A cikin hali na wani biyu-mataki za mu mayar da hankali a kan bangaren ayyuka. Kuma waɗanda da sauransu, za a warware a hanyoyi da dama.

A bayani na wani aiki a cikin hanyoyi daban-daban da amfani sosai, domin a cikin wannan harka fara aikinsu daban-daban shafi tunanin mutum da ake gudanar, kamar kamar analysis, kira, kwatankwaci da, da sauransu. Wannan, bi da bi, yana da kyau sakamako a kan ci gaban ilmin lissafi tunani a dalibai. Don yadda ya kamata warware aiki, wajibi ne su gudanar da bincike da kuma kira na matsalar halin da ake ciki, wani reformulation daga cikin matsala, don samun wani inductive Hanyar warware shi, ta amfani da misalai da kuma kiyasin. Daya ya kamata ko da yaushe ka tuna cewa wani matsala da aka warware, ka kawai bukatar a sami hanyar da ta dace, ta amfani da ilmi da basira da ya zo a cikin tsarin ilmantarwa.