Published at Sunday, 13 September 2020. математика класс. By Bernarda Besson.
Kogda my obuchayem studentov, vsegda neobkhodimo soblyudat ochen tshchatelnyy balans. S odnoy storony, vy khotite ubeditsya, chto uchashchiyesya mogut uznat kak mozhno bolshe. Drugimi slovami, vy khotite, chtoby u nikh byla vozmozhnost uznat kak mozhno bolshe, ne vygoraya, ne teryaya interesa, ne peregruzhaya i tak daleye. Eto oznachayet, chto vy pytayetes umestit v uchebnyy plan stolko informatsii, skolko, po vashemu mneniyu, oni mogut obrabotat, no vy ostanavlivayetes pered tem, chto bylo by prosto peregruzkoy. S drugoy storony, vy ne dolzhny byt slishkom ostorozhny s peregruzkoy studentov, potomu chto vy mozhete okazatsya na drugom kontse etogo khrupkogo balansa. Yesli vy slishkom bespokoites o peregruzke uchashchikhsya, vy mozhete stolknutsya s situatsiyey, kogda oni nedostatochno stimulirovany i prosto teryayut vremya v klasse.
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!
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.
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