Ko te mahi - he ... Math: mahi. whakahoki raruraru

Mai i te wa nei i roto i te nuinga o nga whenua, i reira ko te whakahou o te mātauranga pāngarau, hei te raruraru o te whakatakoto whāinga i roto i te pāngarau kura kua he nui, me te tino nui i roto i te whanaketanga o te whakaako. Te āhei ki te whakaoti rapanga tu te āhuatanga tino a Tūrongo, o te āhua o te mātauranga. I teie mahana ki te ākonga, me te kaiako matau te whakaaro o te akoranga kura o pāngarau?

ngā ākonga Mātauranga

whakaaro Tata katoa ngā ākonga kura e ka kitea e tatou i te otinga tika, me te mahi o te whiwhi i te whakahoki ko te taua ki te mea e whakaarohia i roto i te pukapuka matua, mahi ratou mahi e, koutou e taea e wareware e pā ana ki te raruraru.

e kore e tango i piahi kaiako ranei ki pūkete te meka e te tūranga o ia mahi whewhe ki raro ki roto i te tikanga ki te whakawhanake i ngā pūkenga takotoranga i roto i ngā āhuatanga raruraru, ki te whakapiki ake i te matauranga, me te wheako. Ki te kore koe e whakarongo ki te whakahōu o te matauranga riro, fakahohaasi reira te tukanga o te whakaaro pāngarau, te āwhina ki te whakaiti i ngā pūkenga production.

Otiia i mua i tatou mahi ki tenei take, me kitea e koe i roto i te mea ko te raruraru me te aha, ko tona tūranga i roto i te whakangungu.

He aha te mea te raruraru

He tikanga maha tenei wā. Fakakaukau angé ki tetahi o ratou tono ki te pāngarau. konei mahi - i te reira āhuatanga raruraru (pātai) e hiahia ana ki te whakatutuki i roto i te whakamahi o ngā pūkenga etahi, mōhiotanga me te whakaata. Ko te whāinga e ko roto te hōkai o te āhuatanga raruraru tenei, he mea e tika ana ki te whakatutuki i, me te te tikanga me ngā whakaritenga.

Ko te kupu, ki te whakaoti i te raruraru - te auraa ki taui tenei āhuatanga raruraru ranei whakakitea e taua anō i roto i enei tikanga e taea. He mea nui ki te tautuhi i te tukanga o te whakaoti i te raruraru rite te mahi hinengaro e hāngai ana te whakatutuki i te whāinga.

raruraru hōputu

I roto i nga raruraru pāngarau faaoti ki tohatoha wahi o te āhuatanga, ture huringa, te whakaaro e hiahiatia mutunga ranei. Ka taea te tautuhi i te whakatau ano i roto i ngā huarahi rerekē:

he) whanaunga mātauranga i waenganui i te wāhanga o te āhuatanga (hei tauira, ina e hiahia ana koe ki te kitea i roto i nei tūemi taimaha);

b) te āhua whakamutunga o te āhuatanga (hei tauira, te kohinga o panga);

c) rite te rironga o te matauranga hou (hei tauira, he tauira o te whakatau).

Ko te tūranga o te mahi i roto i te whakangungu

Mai te raruraru - i tenei āhuatanga raruraru e titau te otinga, ko te tino nui tona tūranga i roto i te akoranga tangata. Na, me ona awhina, haamaramarama nei te reira i te pātai ariā - ako, faataa ona tirotiro. Na roto i mahi ohie e kua whakamana i runga i te tauira e homai te ariā, tutuki whakawhenumi o te meka te. Ko te wero, me te otinga hanga reira kaha 'te ākonga ki te whakatere i ngā āhuatanga hou, ki te kohikohi mōhiohio ki te mahi i ētahi atu mahi, tūhura mara hou o te pūtaiao me te matauranga o te vairaa mau ranei.

whāinga ako ki te mahi

Ko te mahi - he taputapu e whakamahia ana i roto i te whakangungu hangaia ki te moni, me te hihiri ngā ākonga ki te hanga i to ratou ariā o te tauira pāngarau. Tika tū, heheu te reira i te tikanga whakaako hou, no te mea te mea he whakatau maha whāinga akoranga. Hei tauira, kia te whakamahi Tūmahi (Grade 7) i roto i te ako o ngā kaupapa hou mo te mana o (whaiaro) matauranga, te whanaketanga o te moni i roto i te pāngarau ranei. Ko te mea nui, te mahi ratou ki waia te ākonga ki te rapu, me te auaha mahi, te whanaketanga o tona whakaaro, me te arorau.

Raruraru me rongoā

puta Rongoā i roto i wha wāhanga:

1. He mahara ki nga tikanga mahi, me te ona wāhanga takitahi.
2. Construction o te mahere otinga.
3. Tuhinga o te mahere i roto i te mahi, me mea katoa o ona wahi.
4. rongoā whakaū Final, arotake ki te whāinga o aravihi te rauemi, te heheu mai kia kia e whai hua i roto i te heke mai mo te whanaketanga o ētahi atu mahi.

Ki te tiki i te whakatau tika, e hiahia ana koe ki te āta whakaatu i te āhuatanga katoa e whakaarohia ana i roto i te mahi. Me ki te kitea i roto i te mea kua hoatu, e hiahia ana koe ki te kitea. e tūtohu ana ki te ngā i te mape mārama, ka āwhina i te reira ki te tāutu i ngā rongoā ka taea. mahi pāngarau aua moni nama, e kua faatiti'aifarohia e whakaaro arorau, taea te kaupapa ki a koe e kite i te aronga tika whatu.

Ko te akiaki pūnaha

I roto i te tikanga ki te optimally whakahohe te mahi hinengaro o ngā ākonga, e tūtohu ana ki te whakamahi i te tikanga Makiri i huaina "pūnaha tohu". Kei tēnei tikanga o ngā mahi iti pātai ranei e hoatu te aronga tika o te rere o te whakaaro, hanga he rapu tika mō rongoā. titau otinga Tūmahi he huinga o ngā kaha, e ko, te kaha ki te hanga i te pai rawa matau i roto i ngā o te matauranga o te oversaturation. kia tenei rapu me te kōwhiringa kia arotahi. Ka kawea te kōwhiringa i roto i nui tere me māmā, ki te kōrero tatou ki te faaauraa e tika ana. Hei tauira, ka taea e koe ui i te uiraa: "? Hea tūpono mua te tahi mea rite" Mā te tikanga o te faaauraa, no te whakaoti rapanga, e tūtohu ana ki te taui i to ratou fakalea. Hoatu he pai tenei tikanga i roto i nga tīmatanga o te raruraru hopanga. Ki te he reira taea ki te whakarite i tenei mahi ki te hunga e i whakaritea i mua, te ōrite o tikanga me ngā tikanga o te otinga e ārahi ngā ākonga i runga i te ara tika, te whakawhanake i te ahua o ngā whakaaro hua i roto i te faaineineraa o te Mahere.

Methods o whakaoti rapanga pāngarau

Mai te raruraru - ko reira he pātai o (te āhuatanga) e hiahia ana ki te kia whakatutuki, ka kitea te whakautu tika ki te raruraru pāngarau - te tikanga reira ki te tautuhi i te raupapa o nga tikanga o te pāngarau, e kua whakamahia ki te ahu i te hua tika. Ki te rā, i reira e maha ngā tikanga mō te whakaoti rapanga pāngarau:

1. Tauhanga. Ko te whakahoki, ko te tika ki te mahi i ngā mahi pāngarau i runga i tau e te hunga i roto i te mahi. Na, maha e taea te whakatika te raruraru taua te whakamahi i rerekē tikanga tātai, i rerekē i roto i te arorau o te tautohe.
2. Taurangi. Ko te whakahoki i te utu o te whakatū, me te whakaoti whārite. Tuatahi tawhiti rahinga, me te whakatū i therebetween kōrero, a ka whakahaere taurangi pukapuka e hūanga ratou, kia ake e ratou ki a ratou whārite awhina, me te whakaoti i te reira. I muri i taua, ko te otinga whakamātautau, me te tuhi i te whakahoki.
3. Ngā. I tēnei tikanga ngā rua tātai me te tikanga taurangi o te whakaoti rapanga.

Komititanga ake

raruraru Mathematical - he āhuatanga raruraru, faatiti'aifarohia nei i te whakamahi o te tikanga pāngarau e rapua e pūkenga motuhake, me te matauranga. E wehea Tūmahi ki ohie, me te matatini, i runga i te maha o ngā mahi rānei. A, no te tā te mahi whakatau i te whakamahi o tetahi anake mahi, e korero tatou e pā ana ki te mahi ohie. I roto i te take o te-taahiraa e rua e arotahi tatou i runga i ngā mahi wae. Ko te hunga me etahi taea te whakatika i roto i te maha o ngā huarahi.

Ko te tino whai hua te otinga o te mahi i roto i ngā huarahi rerekē, no te mea i roto i tenei take timata ratou mahi ngā ngā mahi hinengaro, pērā i pērā i te tātari, te kōtuitanga, whakarite, me ētahi atu. Tenei, i roto i te tahuri, kua he pānga pai i runga i te whanaketanga o te whakaaro pāngarau i roto i ngā ākonga. Hei whakaoti tika te mahi, he mea e tika ana ki te whakahaere i te tātari me te ariā o te āhuatanga raruraru, he whakahouanga i o te raruraru, ki te kitea he tikanga inductive ki te whakaoti i te reira, te whakamahi i talanoa me te matakite. kia pupuri tetahi tonu i roto i te ngakau e faatiti'aifarohia tetahi raruraru ko, Me anake koe ki te kitea te ara tika, mā te whakamahi i te mōhiotanga me ngā pūkenga e haere mai i roto i te tukanga akoranga.