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Yiloo nto i-algebra yesikolo samabanga aphakamileyo ifuneka

Ngokuqhelekileyo umbuzo othi "kutheni sifuna imathematika?" Baphendula into efana ne "gymnastics yengqondo." Ngokombono wam, le ngcaciso ayanele. Xa umntu esenza umthambo, uyalazi igama elichanekileyo lamaqela emisipha akhula. Kodwa iincoko ngemathematika zihlala zingekho. Zeziphi “izihlunu zengqondo” ezithi ziqeqeshwe yialgebra yesikolo? Ayifani kwaphela nemathematika yokwenyani, apho kufunyanwa izinto ezinkulu. Ukukwazi ukujonga izinto eziphuma kwizinto ezintsonkothileyo kusinika ntoni?

Ukufundisa inkqubo kubafundi ababuthathaka kwandikhokelela kwimpendulo echanekileyo ngakumbi kumbuzo othi "kutheni?" Kweli nqaku ndiya kuzama ukuyidlulisela kuwe.

Yiloo nto i-algebra yesikolo samabanga aphakamileyo ifuneka
Esikolweni, ixesha elininzi linikelwa ekuguquleni nasekuwenzeni lula amabinzana. Umzekelo: 81×2+126xy+49y2 kufuneka iguqulwe ibe (9x+7y)2.

Kulo mzekelo, umfundi kulindeleke ukuba akhumbule ifomula yesikwere semali

Yiloo nto i-algebra yesikolo samabanga aphakamileyo ifuneka

Kwiimeko ezinzima ngakumbi, intetho enesiphumo ingasetyenziselwa ezinye iinguqu. Umzekelo:

Yiloo nto i-algebra yesikolo samabanga aphakamileyo ifuneka

iguqulwa kuqala ibe

Yiloo nto i-algebra yesikolo samabanga aphakamileyo ifuneka

kwaye ke, ngengcaciso (a + 2b) != 0, ivele ngolu hlobo

Yiloo nto i-algebra yesikolo samabanga aphakamileyo ifuneka

Ukufezekisa esi siphumo, umfundi kufuneka aqaphele kwintetho yokuqala kwaye asebenzise iifomyula ezintathu:

  • Isikwere semali
  • Umahluko wezikwere
  • Ukunciphisa izinto zeqhezu eziqhelekileyo

Kwisikolo se-algebra, phantse lonke ixesha esilichithe siguqula amabinzana anje. Akukho nto itshintshileyo kakhulu kwimathematika ephezulu eyunivesithi. Saxelelwa indlela yokuthatha i-derivatives (integrals, njl.) kwaye sinikwe itoni yeengxaki. Ngaba iluncedo? Ngokombono wam - ewe. Ngenxa yokwenza le mithambo:

  1. Ubuchule bokuguqula iintetho buphuculwe.
  2. Kuphuhliswe ingqalelo kwiinkcukacha.
  3. Eyona nto yenziweyo - imbonakalo ye-laconic apho umntu unokuzabalazela.

Ngokombono wam, ukuba ne-ethos enjalo, umgangatho kunye nobuchule buluncedo kakhulu kumsebenzi wemihla ngemihla womphuhlisi. Ngapha koko, ukwenza lula ibinzana ngokusisiseko kuthetha ukuguqula isakhiwo salo ukuze kube lula ukuqonda ngaphandle kokuchaphazela intsingiselo. Ngaba oku kukukhumbuza nantoni na?

Oku kuyinkcazo yokuhlaziya kwakhona kwincwadi yegama elifanayo nguMartin Fowler.

Kumsebenzi wakhe, umbhali uziqulunqa ngolu hlobo lulandelayo:

I-Refactoring (n): Utshintsho kulwakhiwo lwangaphakathi lwesoftware ejoliswe ukwenza kube lula ukuqondwa kwaye kube lula ukuyilungisa ngaphandle kokuchaphazela ukuziphatha okubonakalayo.

I-Refactor (isenzi): tshintsha ulwakhiwo lwesoftware ngokusebenzisa uthotho lweefactorings ngaphandle kokuchaphazela ukuziphatha kwayo.

Incwadi inika "iifomula" ezifuna ukubonwa kwikhowudi yomthombo kunye nemigaqo yokuguqula.

Njengomzekelo olula, ndiza kunika "intshayelelo yokwahluka okuchazayo" kwincwadi:

if ( (platform.toUpperCase().indexOf(“MAC”) > -1 ) &&
    (browser.toUpperCase().indexOf(“IE”) > -1 )&&
    wasInitialized() && resize > 0 ) {
    // do something
}

Amalungu entetho kufuneka abhalwe kuguquguquko olugama lichaza injongo yalo.

final boolean isMacOS = platform.toUpperCase().indexOf(“MAC”) > -1;
final boolean isIEBrowser = browser.toUpperCase().indexOf(“IE”) > -1;
final boolean isResized = resize > 0;
if(isMacOS && isIEBrowser && wasInitialized() && isResized) {
   // do something
}

Yiba nomfanekiso womntu ongakwaziyo ukuwenza lula amabinzana ealgebra esebenzisa isixa esiphindwe kabini kunye nomahluko wefomula yesikwere.

Ucinga ukuba lo mntu angayenza kwakhona ikhowudi?

Ngaba uya kukwazi ukubhala ikhowudi enokuthi iqondwe ngabanye abantu ukuba akayenzanga eyona mbono imfutshane kangaka? Ngokombono wam, hayi.

Nangona kunjalo, wonke umntu uya esikolweni, kwaye iqaqobana liba ngabacwangcisi beenkqubo. Ngaba isakhono sokuguqula intetho siluncedo kubantu abaqhelekileyo? Ndicinga ukuba ewe. Kuphela isakhono esisetyenziswe kwifom engabonakaliyo: kufuneka uhlolisise imeko kwaye ukhethe isenzo esongezelelweyo ukuze usondele ngakumbi kwinjongo. Kwi-pedagogy le nto ibizwa ngokuba ukudluliselwa (izakhono).

Eyona mizekelo imangalisayo ivela ngexesha lokulungiswa kwemizi kusetyenziswa iindlela eziphuculweyo, indlela “yefama edityanisiweyo”. Ngenxa yoko, loo "maqhinga" afanayo kunye neehacks zobomi ziyavela, enye yazo iboniswe kwi-KPDV. Umbhali wengcamango wayenomthi, ucingo kunye nezikrufu ezine. Ekhumbula itemplate yesibane, wahlanganisa isiseko sesibane esenziwe ekhaya kubo.

Kwanaxa uqhuba isithuthi, umqhubi usoloko ebona iipatheni ezikwihlabathi elimngqongileyo aze enze izinto ezifanelekileyo ukuze afike apho aya khona.

Xa usifa, awuyazi loo nto, kunzima kwabanye. Kuyafana naxa ungakhange uziphumelele izibalo...

Kwenzeka ntoni ukuba umntu akakwazi kakuhle ukuguqula amabinzana? Ngamathub’ athile, ndifundisa abafundi abangakwazi kakuhle kwizibalo esikolweni. Njengomthetho, babambelela ngokupheleleyo kwisihloko semijikelezo. Kangangokuba kufuneka wenze "i-algebra" kunye nabo, kodwa ngolwimi lwenkqubo.
Oku kwenzeka ngenxa yokuba xa ubhala iilophu, eyona ndlela iphambili kukuguqula iqela lamabinzana afanayo.

Masithi isiphumo senkqubo kufuneka sijongeke ngolu hlobo:

Intshayelelo
Isahluko 1
Isahluko 2
Isahluko 3
Isahluko 4
Isahluko 5
Isahluko 6
Isahluko 7
isiphelo

Inkqubo encinci yokufezekisa esi siphumo ibonakala ngolu hlobo:

static void Main(string[] args)
{
    Console.WriteLine("Введение");
    Console.WriteLine("Глава 1");
    Console.WriteLine("Глава 2");
    Console.WriteLine("Глава 3");
    Console.WriteLine("Глава 4");
    Console.WriteLine("Глава 5");
    Console.WriteLine("Глава 6");
    Console.WriteLine("Глава 7");
    Console.WriteLine("Заключение");
}

Kodwa esi sisombululo sikude kwi-laconic efanelekileyo. Okokuqala kufuneka ufumane iqela eliphinda-phindayo lezenzo kuyo kwaye emva koko uyiguqule. Isiphumo esisiphumo siya kujongeka ngolu hlobo:

static void Main(string[] args)
{
    Console.WriteLine("Введение");
    for (int i = 1; i <= 7; i++)
    {
        Console.WriteLine("Глава " + i);
    }
    Console.WriteLine("Заключение");
}

Ukuba umntu akazange aphumelele imathematika ngexesha elinye, akayi kukwazi ukwenza utshintsho olunjalo. Akayi kuba nesakhono esifanelekileyo. Yingakho isihloko se-loops singumqobo wokuqala kuqeqesho lomphuhlisi.

Kuvela iingxaki ezifanayo nakweminye imimandla. Ukuba umntu akakwazi ukusebenzisa izixhobo ezikhoyo, ngoko akayi kukwazi ukubonisa ubuchule bemihla ngemihla. Iilwimi ezikhohlakeleyo ziya kuthi izandla zikhula kwindawo engafanelekanga. Endleleni, oku kuzibonakalisa ngokungakwazi ukuvavanya ngokuchanekileyo imeko kwaye ukhethe i-maneuver. Okunokuthi ngamanye amaxesha kukhokelele kwimiphumo ebuhlungu.

Izigqibo:

  1. Sifuna imathematika yesikolo nedyunivesiti ukuze senze ihlabathi libe yindawo engcono ngeendlela esinazo.
  2. Ukuba ungumfundi kwaye uneengxaki zokufunda kwimijikelo, zama ukubuyela kwizinto ezisisiseko - ialgebra yesikolo. Thatha incwadi yeengxaki zebanga lesi-9 uze usombulule imizekelo kuyo.

umthombo: www.habr.com

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