Published at Sunday, January 17th 2021. by Chanell Legall in математика класс.
Tem ne meneye, polnotsennyy son, dazhe za 10 chasov do testa i 2 chasa polnogo bodrstvovaniya, pomozhet vam luchshe spravitsya s etim testom i uluchshit vashu kontsentratsiyu vo vremya testa. Te lyudi, kotoryye ne spyat vsyu noch, obnaruzhat, chto bolshaya chast ikh pamyati mozhet rabotat ne tak khorosho, kak oni nadeyalis vo vremya testa, poetomu, dazhe yesli oni potratili vse eto vremya na uchebu, oni mogut ne rabotat tak zhe khorosho. Matematika i uroki, trebuyushchiye logicheskikh navykov, - eto ne te zanyatiya, kotoryye vy dolzhny provodit vsyu noch pered vypusknymi ekzamenami, potomu chto oni trebuyut bolshoy kontsentratsii i tochnosti, kotoryye vy teryayete, kogda ne vysypayetes, i Red Bull, v storonu, rekomenduyu ne yekhat tuda. Izuchayte i izuchayte matematiku pravilno, eto odin iz samykh vazhnykh predmetov. Pozhaluysta, rassmotrite vse eto normalno?
Odnoy iz nepriyatnykh problem dlya mnogikh studentov-matematikov yavlyayetsya tot fakt, chto vse klassy matematiki v starshikh klassakh zavisyat ot formuly. Nekotorym uchenikam slozhno zapominat formuly. Drugiye uchashchiyesya mogut bez truda zapominat formuly, no ne ponimayut, kak polzovatsya formuloy, ili ne ponimayut, chto oznachayet rezultat formuly. Yesli vy popadayete v lyubuyu iz etikh kategoriy, togda budet slozhno dobitsya uspekha v klasse matematiki. K schastyu, yest neskolko sovetov i priyemov, kotoryye mogut pomoch. Formuly delyatsya na dve osnovnyye kategorii: 1) Vychislitelnyye navyki. Eto tip formul, naiboleye chasto vstrechayushchiysya v algebre, i yego osobenno trudno ponyat, potomu chto simvoly chasto ne imeyut znacheniya. Zapomnit, chto a ^ 2 - b ^ 2 = (a + b) (a - b) mozhet bytlegko, no eto mozhet ne imet dlya vas absolyutno nikakogo znacheniya i, sledovatelno, ne budet imet dlya vas osoboy tsennosti. Tekhniki, kotoryye my obsudim, osobenno vazhny dlya etogo tipa formul. 2) Ochevidnoye primeneniye v realnoy zhizni. Oni chashche vstrechayutsya v geometrii i trigonometrii. Ikh legche ponyat, no metody takzhe mogut pomoch v etom.
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.
Vsego za dve nedeli ya byl udivlen potryasayushchimi rezul tatami. Sara, dav yey neskol ko minut poigrat s ney, nachala izuchat matematiku. Ona skazala mne, chto oshiblas , kogda skazala, chto matematika - eto ne veselo. Cherez mesyats ona udivila menya vysokoy otsenkoy po matematike. YA byl tak schastliv, potomu chto ona byla pervoy v svoyem klasse matematiki. Dazhe yeye uchitel byl udivlen sluchivshimsya. YA prodolzhil etu strategiyu i slava Bogu, chto ona preuspela v shkole, osobenno po matematike. Etot neveroyatnyy opyt pobudil menya vklyuchit knigu v svoyu strategiyu obucheniya. I ya ne oshibsya v svoikh ozhidaniyakh, ya takzhe uvidel uluchsheniya v moikh uchenikakh. Na samom dele 96% iz nikh uluchshili matematiku i polyubili yeye. Tereza byla tak rada rezul tatam i khotela by podelit sya svoyey udivitel noy knigoy so vsemi uchitelyami i roditelyami, u kotorykh tozhe yest takaya zhe problema. Matematika pri pravil nom vzglyade obladayet ne tol ko istinoy, no i vysshey krasotoy - krasotoy, kholodnoy i surovoy, kak krasota skul ptury.
Veroyatno, luchshiy sposob ubeditsya, chto klass idet v nogu s tem, chto on izuchayet, - eto ustanovit bazovyy protsent dlya klassa, kotoryy idet v nogu s materialom, i togo, kotoryy ne uspevayet, i togo, kotoryy tozhe legko provesti vremya s nim. Naprimer, yesli klass v tselom pravilno otvechayet po krayney mere na 70% voprosov, kotoryye im zadayut, uchitel mozhet reshit, chto eto oznachayet, chto oni znayut material. Kak tolko oni naberut bolshe, chem, skazhem, 90% pravilnykh otvetov, uchitel mozhet reshit, chto eto oznachayet, chto on poluchayet dostatochno, chtoby oni mogli pereyti k sleduyushchey teme. Eto budet oznachat, chto klass ot 70% do 90% popadayet v tsel, klass nizhe 70% dolzhen zamedlitsya i peresmotret, a klass vyshe 90% gotov dvigatsya dalshe.
Samaya vazhnaya chast etoy golovolomki - eto protsess, kotoryy ispol zuyetsya dlya opredeleniya togo, obladayet li uchenik znaniyami, neobkhodimymi dlya propuska uchebnogo goda po matematike. Naprimer, ochen vazhno, chtoby v teste ne ispol zovalsya mnozhestvennyy vybor, potomu chto uchenik mozhet sdelat neskol ko udachnykh predpolozheniy, kotoryye iskazyat okonchatel nyy rezul tat. Krome togo, dolzhno byt neskol ko raznykh voprosov, proveryayushchikh kazhduyu kontseptsiyu, chtoby uchashchiysya mog prodemonstrirovat svoi navyki na boleye chem odnom ekzemplyare dannoy kontseptsii, chtoby dokazat, chto on ili ona znayet etu kontseptsiyu, ili yeye otsutstviye. Nakonets, veroyatno, v obshchikh interesakh, yesli posle togo, kak uchenik udovletvoritel no sdast ekzamen, on ili ona syadet s uchitelem prodvinutogo klassa, chtoby uchitel mog obsudit s uchenikom neskolko kontseptsiy, poka uchitel ne udovletvoren tem, chto uchenik adekvatno podgotovlen k uroku. Chrezvychayno polezno ubedit sya, chto uchashchikhsya pravil no raspredelyayut po klassam, chtoby oni mogli maksimal no ispol zovat svoye vremya v klasse. Ochen vazhno udelyat vremya etomu ostorozhno, chtoby uchashchiysya mog poluchit nailuchshiye vpechatleniya i maksimal no ispol zovat vremya, provedennoye v shkole.
Vy obnaruzhite, chto yesli vy sdelayete eto, to smozhete zapominat pochti vse avtomaticheski po komande, i eto budet tak sil no zapechatleno v vashem mozgu, chto vy, vozmozhno, nikogda ne smozhete eto zabyt , dazhe yesli vy vyberete odin den. Dumayte obo vsekh etikh formulakh i uravneniyakh, kak o slovakh ili imenakh. Chelovecheskiy mozg nastroyen na obucheniye takim obrazom, i vy dolzhny eto delat. Da, i yeshche odin posledniy sovet po povodu zatrudnitel nogo polozheniya na uroke matematiki, v kotorom vy okazalis segodnya. Samyy sil nyy i neveroyatnyy instrument, kotoryy u vas yest v ume, - eto «volya» i «nastoychivost , potomu chto yesli u vas yest zhelaniye uchit sya, vam deystvitel no nravitsya matematika i vy mnogo rabotayete, vy dob yetes etogo, tak chto dumayte polozhitel no na vse eto.
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