Ukuphindaphindwa kokuFunda: UkuFunda okanye ukuKhumbula?

Yenza Ukunyusa okulula

Ukukwazi amaqiniso okuphindaphinda kuyisiseko esibalulekileyo sokukwazi ukucombulula zonke iintlobo zeengxaki zematriki eziphezulu, kodwa ukufunda kwabo akulula ngaso sonke isikhathi. Kwiminyaka emininzi, ootitshala baye bathembela ekufundeni i-rote okanye ngekhanda lokufundisa amatafula okuphindaphinda.

Ngaba iRote Learning Learning isebenza?

Nangona isicwangciso sokufunda se-rote sisebenza kwabanye abafundi, kwishumi elidlulileyo okanye uphando lubonisa ukuba le yindlela engcono kakhulu yokufundisa ukuphindaphinda.

Abafundi bafunda ukuphindaphinda ngcono xa bekwazi ukufumana iindlela zokudibanisa, ukudala intsingiselo okanye ukuqonda imigaqo elawula ukuphindaphinda.

Olunye uphando olwenziwe ngophando olubhekiselele kule ndlela ehlukeneyo yokufunda izibalo njengenkcazo esekelwe ngokuqhelekileyo kunye neenkcazelo ezisekelwe kwimathematika (Levenson, 2009). Iinkcazo ezisekelwe ngokusisiseko zendlela iindlela abafundi bafumana ngayo ukuxela iingcamango zezibalo kwiimeko zabo zokuphila kwangempela . Inani lezi ngcaciso zicwangciso ezichanekileyo ezinokufundiswa ngokusemthethweni.

Amanqanaba okuHlola okuSebenzayo

1. Ukubonakaliswa kokuBonakalayo: Abantwana abaninzi xa befunda ukuphindaphinda kokuqala baya kusebenzisa i- manipulative okanye imidwebo yokumela iqela ngalinye. Ngokomzekelo, i-3 x 2 iya kubelwa njengamaqela amathathu eekerubhi ezimbini nganye. Umntwana wakho unokubona ngokucacileyo ukuba umcela ukuba abone inombolo edalwe ngabini babini.
2. Izibini: Ukufunda ukuphindaphindwa kabini kulula xa umntwana wakho ekhunjuzwa "ukuphindaphinda" amaqiniso angongeza. Ukwandisa nayiphina inombolo ngamabini yinto efana neyongezela yona.

1. I-Zero: Ngamanye amaxesha umntwana wakho unokuba nzima ukuqonda ukuba kutheni inani eliphindaphindiweyo yi-zero lihlala likhulu. Ukumkhumbuza ukuba oko kuceliwe ukuba kubonise "amaqela angamanani [naliphi inani]" angamnceda abone ukuba akukho maqela alinganayo.
2. I-Fives: Uninzi lwabafundi bayazi ukubala ukunqumla kubahlanu. Oko bayenzayo benza ngokuphindaphinda ezintlanu. Ukusebenzisa umgcini-ndawo (iminwe isebenze kakuhle) ukugcina umkhondo wendlela ephindwe ngayo, umntwana wakho unokuziphindaphinda ngokuzenzekelayo ngantlanu.

1. Iintshumi: Ukususela ngokuphindaphinda ngeyeshumi kuhambelana nenani phezu kwendawo, yonke into eyenziwa ngumntwana wakho yongeza 0 ukuya ekupheleni kwenani. 5 x 10 = 50; Ukongeza i-0 ukuya ekupheleni ihamba ezintlanu ukusuka kuloo ndawo ukuya kwindawo emashumi.
2. Eleven: Xa ukwandiswa ngedijithi enye, wonke umntwana wakho kufuneka ayenze ukubeka loo nombolo kwimashumi kunye nendawo. (11 x 3 = 33)

Xa umntwana wakho sele efunde la maqhinga okuphindaphinda, unendlela yokufumana iimpendulo malunga nesiqingatha setafile zokuphindaphinda. Kukho ezinye izicwangciso okanye iinkcazo zokuthi, ngelixa kunzima kakhulu, angasebenzisa ukusebenzela zonke iitheyibhile.

Eyinkimbinkimbi ngakumbi yokuphindaphinda amacebo

1. Iine: Izihlandlo ezine izinto ezinokucingwa ngokuthi "ziphindwe kabini." Ngokomzekelo, i-2 x 3 iyafana nokuphindwe kabini okanye 6. Ukusebenzisa oko njengesicwangciso-siseko, 4 x 3 ngumcimbi wokuphindaphinda kabini okanye 3 + 3 = 6 (ephindwe kabini) kunye no 6 + 6 = 12 (ephindwe kabini).
2. I-Fives (nokuba nenani): Ukuba ukubala ngamagqabha ehlulekayo, xa umntwana wakho ephindaphinda nokuba nenani konke okufuneka akuyenze kuthatha isigamu sale nombolo kwaye ungeze 0 emva kwayo. Umzekelo 5 x 6 = 30, efana nesiqingatha se-6 nge-zero ekupheleni.
3. I-Fives (inombolo engavumelekanga): Yenza umntwana wakho akhuphe 1 ukusuka kwinombolo ayenayo, yenze i-half and put 5 after it. Umzekelo 5 x 7 = 35, efana no-7-1, i-halved kunye ne-5 emva kwayo.

1. Amanxi (indlela yomunwe) : Yenza umntwana wakho abeke izandla zakhe phambi kwakhe. Iminwe ngakwesobunxele manani 1 ukuya ku-5; Isandla sokunene si-6 ukuya kwe-10. Ingxaki 9 x 2, yayiza kuguqa ngomunwe wesibini. Inani leminwe ngakwesobunxele lomunwe ongezantsi ngumbolo kwiindawo ezilishumi kunye nenani leminwe ngakwesokunene somunwe ogobileyo yindawo. Ngaloo ndlela, 9 x 2 = omnye ngomnwe ngakwesobunxele kunye nesibhozo ngakwesokudla okanye 18.
2. Iimithi (zongeza kwiindlela ezili-9): Ngaba umntwana wakho akhuphe 1 ukusuka kwinani awandise ngalo. Ngoko, ngo-9 x 4, uza kufumana i-3, ayifaka kwisithuba semashumi. Ngoku ubeka ingxaki yokuncedisa ukufumanisa ukuba yintoni eyongeza kuloo nto ukwenza isithoba, ukubeka kuloo ndawo. 3 + 6 = 9, ngoko 9 x 4 = 36.

> Imithombo:

> Levenson, uEstere (2009). Ukusetyenziswa kwabafundi bebanga lesibini kunye nokukhethwa kweemathematika kunye neenkcukacha ngokucacileyo. Izifundo zezeMfundo kwiMathematika, iV73 (2), i-pp121-142.

> Van de Walle, uJohn, kunye nabantu, uSandra. Imathematika yeZikolo eziQala kunye noPhakathi - Ukufundisa ngokuPhuhliso. ECanada ed. Pearson Education Canada, 2005