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Published at Wednesday, January 20th 2021. by in математика класс.

Izucheniye matematiki, bud to algebra, geometriya ili matematika, mozhet byt ochen trudnym dlya mnogikh uchenikov, a metody obucheniya, kotoryye rabotayut dlya odnogo uchenika, mogut byt neeffektivnymi dlya drugogo. No ya schitayu, chto yest neskolko sovetov po izucheniyu matematiki, kotorym mogut sledovat vse studenty, chtoby uluchshit svoi rezultaty po matematike i byt boleye produktivnymi vo vremya ucheby. Kogda uchitelya sozdayut testy, oni obychno osnovyvayut zadachi na primerakh, kotoryye oni dayut vam vo vremya uroka. Poetomu obyazatel no, chtoby u vas byl ekzemplyar kazhdogo primera, kotoryy vam pokazyvayet uchitel , i chtoby vy ponimali, kak reshit zadachu. Nekotorym uchenikam slozhno delat zametki v klasse i odnovremenno obrashchat vnimaniye. V etom sluchaye provodite vremya v klasse, kontsentriruyas na uchitele, no ubedites, chto vy poluchili kopiyu zametok ot odnoklassnika.

Chem ty planiruyesh zanyat sya? Zavtra test, a ty dazhe ne znayesh nazvaniya togo, chto delayesh! Chto zh, v gosudarstvennoy shkole vy mogli by poyti k uchitelyu matematiki gde-to posle ili do uroka, i oni mogli by ob"yasnit vam eto lichno, prosmotrev vashu rabotu, ukazav, chto vy sdelali ne tak, otvetiv na voprosy, kotoryye u vas byli ili prokhozhu s vami primer. Zatem vy, nakonets, ponimayete urok, poluchayete pyaterku v svoyey viktorine, i vsya shkola ustraivayet vam grandioznuyu vecherinku, kotoraya postepenno zatukhayet pod khoroshuyu pesnyu i final nyye titry.

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математика онлайн класс
математика онлайн класс

Vsegda chitayte formuly kak zakonchennyye mysli ili predlozheniya. Formuly vsegda dolzhny imet znak ravenstva. Takim obrazom, formula dlya rasstoyaniya NE rt. Formula dlya rasstoyaniya d = rt. Vsegda proveryayte pravil nost formul. Naprimer: raznitsa dvukh polnykh kvadratov mozhet vyglyadet kak 25-4. Ochevidno, znacheniye etogo chisla ravno 21, no yesli my poluchim eto zhe znacheniye s pomoshchyu formuly, my proverim formulu. Po formule 25-4 mozhno bylo by zapisat kak 5 ^ 2-2 ^ 2 i razlozhit na mnozhiteli kak (5 + 2) (5-2) = 7 (3) = 21. Takim obrazom, formula proverena. Znayte, kak oboznachat otvety po formule i chto oni oznachayut. Bud te konkretny pri chtenii formul. Poskol ku vse formuly ploshchadi nachinayutsya s A =, boleye polezno dobavit dopolnitelnuyu informatsiyu. V A = (pi) r ^ 2 luchshe vsego chitat eto tak: «Ploshchad kruga ravna pi, umnozhennomu na kvadrat radiusa kruga». Obyazatelno pomnite, chto ploshchad vsegda izmeryayetsya v kvadratnykh yedinitsakh.

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.

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».

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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?

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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