Published at Monday, January 18th 2021. by Deniece Bigot in математика класс.
Dlya podavlyayushchego bol shinstva studentov prostogo prosmotra zametok i vypolneniya domashnikh zadaniy, postavlennykh uchitelem, nedostatochno. Konechno, malo kto iz uchenikov rasschityvayet poluchit dazhe bol she raboty, chem im uzhe bylo porucheno, no yesli vy ser yezno otnosites k polucheniyu istinnogo ponimaniya materiala, poisk zadach, kotoryye nuzhno vypolnit za predelami togo, chto naznacheno uchitelem, mozhet byt odnim iz samyye bystryye sposoby ovladet masterstvom. Besplatnyye rabochiye listy - otlichnyy istochnik dopolnitel nykh matematicheskikh zadach. Vypolniv poisk rabochikh listov po teme, kotoruyu vy izuchayete, vy mozhete nayti neskol ko veb-saytov, kotoryye predlagayut besplatnyye rabochiye listy s otvetami, kotoryye ideal no podkhodyat dlya studentov, kotoryye mogut ispol zovat ikh dlya prakticheskikh zadach.
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.
Otlichnaya strategiya ispol zovaniya zametok klassa - sozdat svoy sobstvennyy test, ispol zuya primery iz klassa. Predstav te, chto vy uchitel , i na samom dele sozdayte test, kak vash uchitel, vybrav neskol ko zadach iz kazhdogo razdela svoikh zametok. Zatem poprobuyte proyti samostoyatel no sozdannyy test i postavit sebe otsenku. Sozdav, zapolniv i prosmotrev svoyu sobstvennuyu viktorinu, vy uznayete mnogo novogo o tom, kakiye temy vy osvoili, a kakiye temy trebuyut dopolnitel noy raboty. Posledneye, chem vy khotite zanimat sya v lyubom matematicheskom klasse, - eto otstavat . Tema ili kontseptsiya, kotoryye vy ne usvoili v glave 2, mogut deystvitel no vernutsya, chtoby presledovat vas v posleduyushchikh glavakh. Krayne vazhno, yesli vy chuvstvuyete, chto chto-to ne ponimayete polnostyu, obratites za pomoshchyu odin na odin. Yesli vozmozhno, obratites za pomoshch yu k svoim roditelyam, poprosite uchitelya provesti dopolnitelnoye vremya odin na odin posle uroka ili naydite drugogo uchenika, kotoryy smozhet ob"yasnit i reshit nekotoryye problemy vmeste s vami.
Yesli vy uchites v starshey shkole i sobirayetes postupit v kolledzh, vy potratite eti gody na to, chtoby sdat ryad standartnykh ekzamenov. Oni budut vklyuchat v sebya sochetaniye obshchenatsional nykh ekzamenov (PSAT, SAT, AP) i ekzamenov shtata. Bol shinstvo ekzamenov po matematike i mnogiye standartizirovannyye ekzameny po yestestvoznaniyu pozvolyayut i rekomenduyut ispol zovat kalkulyatory, osobenno graficheskiye kalkulyatory. K sozhaleniyu, kazhdyy nabor ekzamenov organizovan raznymi rukovodyashchimi organami, kazhdyy so svoyey sobstvennoy politikoy, opredelyayushchey, kakiye kalkulyatory odobreny dlya ispol zovaniya uchastnikami testirovaniya.
Zapisyvat testy i upakovyvat informatsiyu v kratkosrochnuyu pamyat ne tak sil no, kak peredavat informatsiyu v dolgosrochnuyu pamyat. I vam deystvitel no sleduyet zakrepit formuly dlya razlichnykh tipov matematicheskikh zadach v dolgovremennoy pamyati. Vy mozhete dovol no legko zafiksirovat dolgosrochnuyu informatsiyu, i mne nravitsya praktikovat sya v tom, chtoby zapisyvat informatsiyu, kotoruyu ya uznayu. Vy vidite, chto pri izuchenii novogo yazyka etogo osobogo tipa nauki ili matematiki yest mnogo sposobov zapechatlet yego v svoyey pamyati. Vo-pervykh, tochno tak zhe, kak zapominaniye ch yego-libo imeni ili meditsinskogo termina, vy dolzhny nauchit sya proiznosit yego po bukvam, proiznosit i pisat. I zatem peresmotrite yego cherez den , zatem cherez dva dnya, zatem cherez chetyre dnya, zatem cherez vosem dney, zatem cherez 16 dney, a zatem v kontse mesyatsa, a zatem cherez dva mesyatsa, chetyre mesyatsa, shest mesyatsy.
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.
Veroyatno, luchshiy sposob vyuchit formuly - eto delat kartochki po mere znakomstva s novymi formulami. Sdelayte 2 nabora kartochek. Pervyy nabor dolzhen imet nazvaniye formuly s odnoy storony - Ploshchad treugol nika - i polnuyu formulu s drugoy storony - A = 1/2 b h. Vtoroy nabor kartochek dolzhen imet formulu na odnoy storone - A = 1/2 b h - s formulirovkoy formuly na drugoy storone - Ploshchad treugol nika ravna polovine proizvedeniya osnovaniye umnozheno na vysotu treugol nika. Pri rabote s flesh-kartami: poprosite kogo-nibud porabotat s vami, rabotayte tolko okolo 10 minut za raz, no delayte neskolko podkhodov v den, poka vse ne zapomnitsya i ne stanet osmyslennym. Poslednyaya mysl: ne prosto izuchayte populyarnyye formuly - VYUCHITE IKH VSE!
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