Published at Friday, September 11th 2020. by Bernarda Besson in математика класс.
Konechno, potrebuyetsya real noye uchastiye uchiteley, ne govorya uzhe o nebolshom kolichestve prob i oshibok, chtoby vyyasnit, kakova na samom dele ploshchad etikh chisel, no, kak tolko nekotoryy diapazon ustanovlen, kazhetsya, chto eto mozhet byt khoroshim sposobom sdelat uveren, chto studenty mogut uznat kak mozhno bolshe, ne buduchi peregruzhennymi. Takim obrazom, oni mogut izvlech kak mozhno bolshe polzy ot svoyego vremeni v klasse, a potrachennyye vpustuyu usiliya mogut byt svedeny k minimumu kak so storony uchitelya, tak i so storony uchenika.
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 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.
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».
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.
Odna konkretnaya situatsiya, kogda neobkhodimo udovletvorit potrebnosti otdel nogo uchenika, - eto urok matematiki. Klass matematiki bol she, chem lyuboy drugoy klass, sozdayet situatsiyu, kogda uchenik, kotoryy uzhe znayet izuchayemyy material, no kotoryy v lyubom sluchaye dolzhen prosidet urok, prosto tratit svoye vremya. Poskol ku v klasse matematiki prepodayetsya takoy diskretnyy nabor navykov, ochen vazhno sozdat sistemu, kotoraya pozvolit uchashchimsya prodemonstrirovat lyubyye prodvinutyye znaniya, kotorymi oni mogut obladat, chtoby, yesli oni uzhe znakomy s materialom, kotoryy budet prepodavat sya, i osvoit yego v klasse v etom godu u nikh budet vozmozhnost srazu pereyti k boleye slozhnomu kursu obucheniya.
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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