Neman tabbataccen hanyoyi don gwada ilimin lissafin yaranku da iyawar tunani mai zurfi?
Duba jerin abubuwan da aka keɓe na mu ilimin lissafi da tambayoyin tunani - Buga na yara! Kowane ɗayan tambayoyin 30 an ƙirƙira su ne don shiga hankalin matasa, haifar da sha'awar da haɓaka son ilimi.
Manufarmu tare da wannan post shine samar da albarkatun da ba wai kawai ilimi ba har ma da jin daɗi ga yara. Koyo ya kamata ya zama mai daɗi, kuma wace hanya mafi kyau don koyo fiye da ta hanyar wasanin gwada ilimi da wasannin da ke ƙalubalantar hankali?
Nasihu Don Ingantaccen Haɗin kai
Yi Tambayoyi na Kanku kuma ku Shiryar da shi kai tsaye.
Tambayoyi kyauta a duk lokacin da kuma duk inda kuke buƙatar su. Murmushin kyalkyali, ba da haɗin kai!
Fara don kyauta
Teburin Abubuwan Ciki
- Menene Dabarun Lissafi da Tunani?
- Dabarun Lissafi Da Tambayoyin Hannu Ga Yara (An Haɗa Amsoshi)
- Menene nau'ikan tunani 7 na ilimin lissafi?
- Don ƙare
- FAQs
Menene Dabarun Lissafi da Tunani?
Ilimin lissafi da tunani duk game da yin amfani da tunani mai ma'ana don magance matsalolin lissafi. Yana kama da zama mai bincike a duniyar lambobi da tsari. Kuna amfani da ƙa'idodin lissafi da ra'ayoyi don gano sabbin abubuwa ko warware ƙalubale masu banƙyama. Hanya ce ta daban ta lissafi ban da yin lissafi.
Masanin ilimin lissafi yana bayyana yadda ake gina gardama na lissafi da kuma yadda za ku iya motsawa daga wannan batu zuwa wani ta hanya mai ma'ana. Tunani, a gefe guda, ya fi amfani da waɗannan ra'ayoyin a cikin yanayi na ainihi. Yana da game da warware wasanin gwada ilimi, ganin yadda ɓangarorin daban-daban suka dace tare a cikin lissafi, da yin hasashe masu wayo bisa bayanan da kuke da su.
Yaran da aka gabatar da ilimin lissafi da tunani na iya haɓaka ikon yin tunani sosai da wuri. Suna koyon nazarin bayanai, gane alamu, da yin haɗin gwiwa, waɗanda ke da mahimmancin ƙwarewa ba kawai a cikin ilimi ba amma a rayuwar yau da kullun. Kyakkyawan fahimtar dabaru na ilimin lissafi da tunani kuma yana kafa ƙwaƙƙwaran ginshiƙi don ci gaban binciken ilimin lissafi.
Dabarun Lissafi Da Tambayoyin Hannu Ga Yara (An Haɗa Amsoshi)
Zana tambayoyin lissafi na ma'ana ga yara yana da wahala. Tambayoyin dole ne su kasance masu ƙalubale sosai don shiga zukatansu amma ba ƙalubale ba har suna haifar da takaici.
tambayoyi
Anan akwai tambayoyi 30 waɗanda ke motsa tsarin tunani kuma suna ƙarfafa warware matsala masu ma'ana:
- Alamar Ƙa'idarMe ya zo na gaba a cikin jerin: 2, 4, 6, 8, __?
- Sauƙaƙan Lissafi: Idan kana da tuffa guda uku kuma ka sami karin biyu, apple nawa kake da shi gaba daya?
- Gane Siffar: Kusurwoyi nawa ne madaidaicin kusurwa yake da shi?
- Basic Logic: Idan duk kuliyoyi suna da wutsiya, kuma Whiskers cat ne, shin Whiskers yana da wutsiya?
- Fahimtar juzu'i: Menene rabin 10?
- Lissafin lokaci: Idan fim ya fara da karfe 2 na rana kuma yana da tsawon awa 1 da minti 30, wane lokaci ne yake ƙarewa?
- Rage Sauƙaƙe: Akwai kukis guda hudu a cikin tulun. Ka ci daya. Nawa ne suka rage a cikin tulun?
- Kwatanta Girman Girma: Wanne ya fi girma, 1/2 ko 1/4?
- Kalubalen kirga: Kwanaki nawa ne a cikin mako guda?
- Tunanin sararin samaniya: Idan ka juye kofi, zai rike ruwa?
- Tsarin LambobiMe zai biyo baya: 10, 20, 30, 40, __?
- Dalilin Hankali: Idan ana ruwan sama, kasa ta jike. Kasan ya jike. An yi ruwan sama?
- Bayanan sirri: Wane siffar daidaitaccen ƙwallon ƙwallon ƙafa?
- Yawaita: Menene ƙungiyoyi 3 na apples 2 suke yi?
- Fahimtar Aunawa: Wanne ya fi tsayi, mita ko centimita?
- Matsalar Matsala: Kuna da alewa guda 5 kuma abokin ku yana ba ku ƙarin 2. Yanzu ku nawa alewa nawa?
- Bayanin Hankali: Duk karnuka suna haushi. Buddy haushi. Buddy kare ne?
- Kammala Jeri: Cika a sarari: Litinin, Talata, Laraba, __, Juma'a.
- Dabarun Launi: Idan ka hada launin ja da shudi, wane launi kake samu?
- Algebra mai sauƙi: Idan 2 + x = 5, menene x?
- Ƙididdigar kewaye: Menene kewayen murabba'i tare da kowane gefe yana auna raka'a 4?
- Kwatanta Nauyi: Wanne ya fi nauyi, kilogiram na gashin tsuntsu ko kilogram na bulo?
- Fahimtar Zazzabi: Shin Fahrenheit 100 yana zafi ko sanyi?
- Lissafin Kuɗi: Idan kana da takardar kudi $5, nawa kake da shi?
- Ƙarshen Hankali: Idan kowane tsuntsu yana da fuka-fuki, kuma penguin tsuntsu ne, shin penguin yana da fuka-fuki?
- Kiyasin Girman Girma: Shin linzamin kwamfuta ya fi giwa girma?
- Fahimtar Sauri: Idan kuna tafiya a hankali, za ku gama tsere da sauri fiye da gudu?
- Tsakanin Shekaru: Idan dan'uwanka ya cika shekara 5 yau, shekara nawa zai kai a shekara biyu?
- Neman Kishiya: Menene akasin 'sama'?
- Rarraba Mai Sauƙi: Guda nawa za ku iya raba pizza idan kun yi yanka 4 madaidaiciya?
Solutions
Anan akwai amsoshin tambayoyin tunani da ilimin lissafi a sama, a daidai tsari:
- Na gaba a cikin Jeri: 10 (Ƙara 2 kowane lokaci)
- ilmin lissafi: 5 apples (3 + 2)
- Siffar Kusurwoyi: 4 kusurwoyi
- dabaru: Ee, Whiskers yana da wutsiya (tunda duk kuliyoyi suna da wutsiya)
- Tsagewa: Rabin 10 shine 5
- Lissafin lokaci: Yana ƙarewa da karfe 3:30 na yamma
- Ragewa: Kukis 3 da suka rage a cikin kwalba
- Kwatanta Girman Girma: 1/2 ya fi 1/4 girma
- Counting: Kwanaki 7 a cikin mako guda
- Tunanin sararin samaniya: A'a, ba zai riƙe ruwa ba
- Tsarin Lambobi: 50 (Ƙara da 10)
- Dalilin Hankali: Ba lallai ba ne (ƙasa na iya zama jika don wasu dalilai)
- lissafiSpherical (Spherical)
- Yawaita: 6 apples (rukuni 3 na 2)
- ji: Mita ya fi tsayi
- Matsalar Matsala: 7 alewa (5 + 2)
- Bayanin Hankali: Yiwuwa, amma ba lallai ba (sauran dabbobi ma suna iya yin haushi)
- Kammala Jeri: Alhamis
- Dabarun Launi: Purple
- Algebra mai sauƙi: x = 3 (2 + 3 = 5)
- Matsakaici: Raka'a 16 (bangaren 4 na raka'a 4 kowace)
- Kwatanta Nauyi: Suna auna iri ɗaya
- Zafin jiki: 100 digiri Fahrenheit yana da zafi
- Lissafin Kuɗi: $10 (biyu $5 bills)
- Ƙarshen Hankali: Eh, penguin yana da fuka-fuki
- Kiyasin Girman Girma: Giwa ta fi bera girma
- Fahimtar Sauri: A'a, zaku gama a hankali
- Tsakanin Shekaru: Shekara 7
- Neman Kishiya: kasa
- Division: guda 8 (idan an yi yankan da kyau)
Menene nau'ikan dabaru 7 na dabaru da tambayoyin tunani?
Nau'u bakwai na tunanin ilimin lissafi sune:
- Dalili Mai Ragewa: Ya haɗa da samun takamaiman sakamako daga ƙa'idodi na gaba ɗaya ko wurare.
- Dalilan Inductive: Sabanin rabe-raben tunani. Ya ƙunshi yin taƙaitaccen bayani dangane da takamaiman abubuwan lura ko lokuta.
- Maganar Analogical: Ya ƙunshi zana daidaici tsakanin yanayi iri ɗaya ko alamu.
- Dalilin Satar Zuciya: Wannan nau'in tunani ya ƙunshi tsara zato mai ilimi ko hasashe wanda ya fi yin bayanin abin da aka bayar na abubuwan lura ko bayanan bayanai.
- Tunanin sararin samaniya: Ya ƙunshi gani da sarrafa abubuwa a sararin samaniya.
- Hankali na ɗan lokaci: Mai da hankali kan fahimta da tunani game da lokaci, jeri, da tsari.
- Dalili mai mahimmanci: Ya ƙunshi ikon yin amfani da lambobi da hanyoyin ƙididdigewa don magance matsaloli.
Don ƙare
Mun kai ƙarshen bincikenmu na duniyar ilimin lissafi da tunani na yara. Muna fatan cewa ta hanyar shiga cikin matsalolin da ke sama, yaranku za su iya koya cewa lissafi ba kawai game da lambobi da ƙaƙƙarfan ƙa'idodi ba ne. Maimakon haka, suna wakiltar duniya ta hanyar da ta fi tsari da hankali.
A ƙarshe, makasudin shine don tallafawa ci gaban yara gaba ɗaya. Dokokin ilimin lissafi da tunani game da aza harsashi don tafiya ta rayuwa ta bincike, bincike, da ganowa. Wannan zai taimaka musu wajen fuskantar ƙalubale masu sarƙaƙƙiya yayin da suke girma, da tabbatar da cewa sun zama mutane masu kyau, masu tunani, masu hankali.
FAQs
Menene dabaru na lissafi da tunanin lissafi?
Masanin ilimin lissafi shine nazarin tsarin ma'ana na yau da kullun da aikace-aikacen su a cikin lissafi, yana mai da hankali kan yadda aka tsara hujjojin lissafi da kuma yanke hukunci. Tunanin ilimin lissafi, a daya bangaren, ya ƙunshi amfani da dabaru da dabarun tunani mai zurfi don warware matsalolin lissafi, yin alaƙa tsakanin ra'ayoyi, da amfani da su don nemo mafita.
Menene tunani na hankali a cikin lissafi?
A cikin ilimin lissafi, tunani mai ma'ana yana amfani da tsari, tsari na hankali don motsawa daga sanannun hujjoji ko wuraren da aka sani don isa ga ƙarshe mai ma'ana. Ya ƙunshi gano ƙira, ƙirƙira da gwada hasashe, da yin amfani da hanyoyi daban-daban kamar cirewa da ƙaddamarwa don magance matsaloli da tabbatar da maganganun lissafi.
Menene P ∧ Q ke nufi?
Alamar "P ∧ Q" tana wakiltar ma'anar haɗe-haɗe na kalmomi guda biyu, P da Q. Yana nufin "P da Q" kuma gaskiya ne kawai idan P da Q gaskiya ne. Idan ko dai P ko Q (ko duka biyu) ƙarya ne, to "P ∧ Q" ƙarya ne. Wannan aiki da aka fi sani da "AND" aiki a hankali.