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математике 6 класса мерзляков

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Published at Monday, September 07th 2020. by in математика класс.

Zapominayte formuly SIMVOLOV i SLOV. Formula d = r t ne budet imet takogo bolshogo znacheniya ili sokhranyatsya do tekh por, poka versiya slova: proydennoye rasstoyaniye ravno koeffitsiyentu / skorosti, umnozhennomu na vremya s etoy skorostyu. Eto mozhet byt trudneye s vychislitelnymi formulami, no eto stoit dopolnitelnykh usiliy. Naprimer: formula a ^ 2 - b ^ 2 = (a + b) (a - b) o tom, kak razlozhit na mnozhitel raznost dvukh polnykh kvadratov. «Faktor» oznachayet «perepisat kak umnozheniye». Takim obrazom, nashu formulu sleduyet chitat tak: «Raznost kvadratov dvukh chisel, zapisannaya kak umnozheniye, ravna proizvedeniyu summy i raznosti dvukh chisel».

Poymite, chto naiboleye vazhnoye znacheniye formul sostoit v tom, chto oni konstatiruyut otnosheniya, kotoryye sushchestvuyut vsegda - VSEGDA ISTINNY. Eto oznachayet, chto oni VSEGDA mogut pomoch vam! Odnako, chtoby formuly pomogli vam, oni dolzhny imet dlya vas znacheniye. Vychislitelnyye formuly trebuyut znachitelno bolshe usiliy dlya sozdaniya etogo znacheniya. My podrobno obsudim eto v № 3. Zapominayte formuly po mere ikh poyavleniya. Vy mozhete sdelat domashneye zadaniye, prosto vzglyanuv na formulu, no ne zhdite nochi pered ekzamenom, chtoby popytatsya zapomnit mnogiye formuly. Rabota s formulami po mere ikh postupleniya i nemedlennoye sokhraneniye ikh v dolgovremennoy pamyati garantiruyet, chto eta informatsiya budet usvoyena navsegda, a ne tolko dlya testa.

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математик 1 класс 2 часть
математик 1 класс 2 часть

Vidite li, vash razum nastol ko silen, chto kazhetsya, budto vy mozhete, sobytiya proizoydut v vashu pol zu, i yesli u vas yest nastoychivost i reshimost , vy budete userdno rabotat , poka eti tseli i mechty ne osushchestvyatsya. Net nichego, chto moglo by ostanovit chelovecheskiy razum, nastroyennyy na vypolneniye ili dostizheniye opredelennoy zadachi. Nevazhno, uchitsya li on v shkole, pobezhdayet v sporte, delayet kar yeru ili imeyet luchshuyu sem yu. Postoyannyy uspekh v vashem klasse matematiki, deystvitel no, ya nadeyus , chto vy, pozhaluysta, rassmotrite vse eto i zadumayetes nad etim. Udachnogo vam dnya - eto obyazatel no!

No chto, chert voz mi, proizoydet, yesli vy ne poymete, kak reshat matematicheskuyu zadachu v kibershkole? Yesli vy s pervogo raza ne poymete, chemu vas pytayetsya nauchit urok matematiki, eto mozhet stat ochen trudnym dlya ponimaniya. Vy mozhete prochitat urok 100 raz podryad i vse ravno ne ponyat, chto oni pytayutsya zastavit vas sdelat. I chto teper? Chto zh, vy vsegda mozhete poprobovat nayti drugoy veb-sayt s pomoshchyu Google, kotoryy ob"yasnyayet urok po-drugomu. Eto mozhet sil no sbit s tolku, yesli vy nedostatochno znayete ob uroke, chtoby nayti to, chto nuzhno, potomu chto vo mnogikh mestakh ispol zuyetsya drugoy slovarnyy zapas. Vy takzhe mozhete iskat video na YouTube, no togda vy stalkivayetes s toy zhe problemoy.

Ispol zovaniye kolody kart na uroke matematiki mozhet byt interesnym sposobom razvlechsya s matematikoy. Idealnyy sposob bystro prosmotret ili zakrepit matematicheskiye fakty i kontseptsii - eto veselo provesti vremya s matematicheskimi kartochnymi igrami. Nevazhno, ispol zuyete li vy obychnyye karty (ot tuza do korolya) i pridumyvayete li vy zabavnyye matematicheskiye igry dlya ispolzovaniya s nimi ili sozdayete spetsializirovannyye kolody na osnove uprazhneniy po matematike ili izuchayemykh kontseptsiy (to yest drobey, mnozhiteley, razmetki). Vazhno to, chto ucheniki manipuliruyut etimi kartochkami i aktivno uchastvuyut v poiske otvetov i v to zhe vremya poluchayut udovolstviye.

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Khorosho, dopustim, u vas problemy na urokakh matematiki, i vy khotite sdat posledniy ekzamen, no u vas prosto chertovski mnogo vremeni, chtoby zapomnit vse uravneniya, kotoryye vam nuzhny dlya vsekh razlichnykh tipov zadach. Chto zh, yesli u vas yest solidnyye navyki algebry i khorosho razbirayutsya v mnozhitelyakh, u vas vse budet khorosho, kak tolko vy vyuchite pravilnuyu formulu? YA soglasen, i, vozmozhno, nam stoit nemnogo obsudit, kak rabotayet logicheskaya chast vashego mozga, i pochemu ne spat vsyu noch pered ekzamenom, vozmozhno, ne tak razumno.

Itak, k kakomu optimal nomu balansu dolzhny stremitsya uchitelya pri obuchenii studentov? Na etot vopros budut raznyye otvety v zavisimosti ot izuchayemogo predmeta, poetomu davayte nemnogo suzim krug voprosov. Kakov pravilnyy balans dlya prepodavaniya matematiki starsheklassnikam i kak uznat, slishkom li legkiye uroki ili slishkom slozhnyye? Naskolko prodvinutoy dolzhna byt matematika v starshey shkole? Pri popytke otvetit na etot vopros proshche nachat s matematiki, potomu chto matematika gorazdo boleye poddayotsya kolichestvennoy otsenke, chem drugiye predmety. Khotya byvayet slozhno opredelit, deystvitelno li uchenik znakom s opredelennoy oblastyu istorii i, sledovatelno, dolzhen li on pereyti na sleduyushchiy naiboleye slozhnyy uroven, kogda delo dokhodit do matematiki, nuzhno prosto predstavit ucheniku seriyu problem v etoy oblasti matematiki. Yesli uchenik umeyet pravilno otvetit, znachit, on znayet material. Eto dovolno otkrytaya i zakrytaya situatsiya, kotoraya pozvolyayet legko reshit, nuzhno li studentu prodolzhit rabotu ili nuzhno bolshe vremeni udelyat tekushchey teme.

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